Subject: hey
Date: Mon, 9 Oct 2000 15:03:52 -1000
From: David J. Burger

You have a good site and it is a demonstration of what is good about the web.

djb

Subject: Base Converter
Date: Sun, 1 Oct 2000 20:52:52 +0100
From: Pete

Hi,

Just a quick note to say how your base converter has cleared up the problem I have been having trying to grasp the HEX / Decimal relationship and conversion. I have spent four hours looking through my notes and reading 'The Principles of Computer Hardware' in an attempt to do this but to no avail. So I turned to the WWW and found your converter. In just five minutes playing about with various numbers I'd got it. I now understand clearly. 'The penny has dropped' so to speak. (Thats an English saying if your not from England).

Thanks,

Peter (BSc 'Computing for Industry' first year, in fact first week)

Subject: With thanks...
Date: Sat, 30 Sep 2000 07:54:07 -0400
From: Kent Manning

With thanks...

I will be using your cut-the-knot site with Gifted Enrichment students this school year. You have a wonderful site. Past students have really enjoyed it.

Kent

Subject: The Best Yet
Date: Sun, 1 Oct 2000 10:59:21 +1000
From: CVRV

Outstanding website! Well done, so simple to follow and of benefit to all ages. Please keep it up.

Subject: Thanks!
Date: Sat, 23 Sep 2000 13:16:55 -0700
From: Marvin McDonald

As an unreformed 'nerd' who now has kids, it's a joy to be able to call on resources that can nurture our children's interest in math.

Thanks! MM

Subject: Puzzled!
Date: Wed, 20 Sep 2000 07:37:33 -0700
From: Nick Beard

Congratulations on your excellent website. I have introduced my 11 year old son to it, and while some of it is as yet a little beyond him, he is a budding mathematics enthusiast, and so I am confident he will enjoy exploring.

...

Regards,
Nick

Subject: question
Date: Tue, 19 Sep 2000 23:00:26 +0200
From: Cyrille Vachaudez

...thanks for having your site up and running... I may not be the only one who's saying it, but in France, not knowing Mathematics is = to no university, no good jobs and so on... But to get some real help about the subject is quite difficult.... And you are realy helping out!

Thank you,
Cyrille Vachaudez

Subject: lettre d'apprecation, et demande d'orientations
Date: Mon, 18 Sep 2000 18:48:44 -0000
From: Kenneth Lisenbee

dear prof ALEX accept this fact, i don't knew good english, but i do belive that matématic is the most language, excuse me to write in frensh thanks:

je suis émerveillé par votre site educatif, et je considére vu la profondeur et la qualité de vos idées qu'il etait possible d'omettre des chapitres qui n'ont, d'apres moi, à etre détaillés. En tant que "supervisor of mathématics" je souhaite reçevoir de vous quelques orientations car je veux aller dans le méme chemin de l'aventure intellectuel.

Subject: Your excellent site
Date: Sat, 16 Sep 2000 23:04:33 -0400
From: Christal La Fountain-Naylor

Hi! I am so excited! I am homeschooling my very intelligent and very energetic eleven year old daughter for the first time this year. She is rusty and unsure of many of the simplest math comcepts. I did one search through yahooligans (a site for children) jumped to a site, and found your site in the links. We arent able to afford books for another month , but I have my pc, my energy and my absolute adoration of my daughter, and now I have the net sites. I am so grateful for sites like yours that are here simply to help. to teach and to excite people. Thank you so very very much.

Sincerely,
C.L. Naylor

Subject: WOW
Date: Thu, 14 Sep 2000 04:37:55 EDT
From: MWoody

I AM JUST SURFING YOUR SITE!

I TEACH MATH AND MY SON IS A MATH MAJOR AT NC STATE UNIVERSITY.

I LOVE YOUR SITE

THANK YOU!!
MWOODY

Subject: puzzlers
Date: Fri, 28 Jul 2000 21:21:19 +1000
From: Pat Pooley

I can't wait until Monday, to share this site with my class and colleagues

Pat

Subject: Cut the Knot
Date: Tue, 25 Jul 2000 15:29:59 -0700
From: Kowaleski, Andrew

I was just writing to tell you that I enjoy your site. It has a lot of interesting facts and puzzles on it. It keeps me thinking and I like the set up you made.

Subject: Its incredible! = Deep understanding + intelligence + many hours of working
Date: Mon, 12 Jun 2000 13:35:08 +0200
From: Lübomir Stojtschew

Dr. Lübomir Stojtschew
MSC7D Quantitative Analysis

Subject: Angle trisection
Date: Tue, 6 Jun 2000 13:10:07 -0400
From: Friedrich, Peter

Just found your website-- and I could get lost in this stuff! Excellent!

But, this ONE subject caught my eye- and I love the fact that you explained, as I did in my college freshman year some 30 years ago, how to construct a device to trisect an angle.

I was studying Architecture, and this device led to instant Awe from my professor...

Only now do I find an explanation that pre-dates my work! Thanks for this marvellous illumination!

Peter Friedrich
AKF Engineers, New York

Subject: wow11
Date: Tue, 2 May 2000 16:49:45 +0200
From: Rita

I am fascinated by your site, I have even found out that my liking of origami as a mathematician (in Italy we would say that mathematician referred to me is a "parola grossa(big word)" i.e. a very generous Description) is quite consequential.

Thanks for the fun.
Rita

Subject: Hi
Date: Fri, 28 Apr 2000 18:36:45 +0100
From: Edward Welbourne

Thanks for your website, found by searching google for the Chinese Remainder Theorem (work currently involves cryptography ...). I shall add you to my links from http://www.chaos.org.uk/~eddy/math/ (do not feel obliged to link back: see the caveat and apologia linked therefrom).

Re: the manifesto.
I agree wholeheartedly about how mathematics is taught. The first lesson everyone is taught in mathematics appears to be `you will find this too hard'. I had the good fortune to miss that class ;^>

Eddy.

Subject: Congratulations
Date: Fri, 21 Apr 2000 14:33:26 +0200
From: Artur Jasinski

Your http://www.cut-the-knot.com/arithmetic/cubic.shtml is fantastic!

Congratulations
ARTUR JASINSKI

Subject: math game
Date: Thu, 20 Apr 2000 09:55:57 -0700
From: stacey wesch
To: A. Bogomolny, raward@calpoly.edu

Mrs. Ward,

I have found a internet game site that I think will be fun and beneficial to use in the class room. It is a number guessing game and I was pretty amazed by the operation the computer does by guesing my number exactly. This would be a fun game for the kids to do with simply working with numbers and they would all want to beat the computer. I think they would find this game fun, maybe for computer friday fun day like I had in elementary school.

Thanks :)
Stacey Wesch
math 327 m,t,w,r 10-11

Subject: CTK useful for math class
Date: Thu, 06 Apr 2000 19:53:59 +0100
From: Stuart Culver

I just wanted to mention that I have used your site for teaching constructions (constructing a regular pentagon), insight into proof, and just lately we used your java applet for generating data regarding Monty Hall's dilemma. You site has added fun and freshness to my Stats and Probability class I teach at the high school level.

Stuart

Subject: Great Site!
Date: Fri, 31 Mar 2000 11:18:56 EST
From: Alexis Forman

I just wanted to let you know that I adore Cut-The-Knot. I recently went looking for math education sites, when I came across your column(?). I love the games and information that you present and the applets are really useful. I think that I have looked at everything over the past few days, but I know that I will check back on a regular basis to see what's new. I thank you for everything that you present.

Alexis Forman

Subject: your site is awesome
Date: Fri, 24 Mar 2000 15:50:02 -0500
From: Carrie Skinner

I happened upon your site today and was impressed with your quotations from some of my favorite books regarding mathematics. It is nice to know that there are people outside of academia who still take an interest in mathematics and try to foster a love for mathematics in adults and children alike.

Thanks,
Carrie Skinner

Subject: Informative and Interesting
Date: Sat, 26 Feb 2000 21:47:01 +1000
From: "jmsainsbury"

What a terrific maths orientated page. I have often wondered if there were any on the Internet, but now come to the conclusion that there are a few good ones. The layout is the first thing that impressed me but after a while the sheer breadth of information really puts the icing on the cake, so to speak. Keep up the great work.

Subject: Just what I was looking for
Date: Thu, 17 Feb 2000 14:43:17 -0000
From: David Turner

I have been searching for a while for a really good maths site, and it appears I have stumbled across it at Cut-The-Knot. I have explored only a fraction of the whole site - there is just too much to do in one sitting - but it has been added to the (extremely short) list of sites which I visit daily. I am currently working for a year between finishing my A-levels and starting university to read maths, and I was looking for something mathematical to do which would keep my brain up to speed. I think I have found what I was looking for, and much much more. You can expect me to be coming back for more for many years...

Dave Turner

Subject: What a great site
Date: Tue, 21 Dec 1999 12:50:52 -0600
From: Rip Stauffer

Dear Alex,

I wrote you about a year or so ago to ask if I could cite your site in my thesis.

That did not become necessary...however, I have sent a number of people to your site, and most have written back to say they enjoyed it a lot (among them was Myron Tribus).

I just wanted to say again what a fun site it is...I am currently writing an online course in statistical thinking, and plan to frequently send my students on "field trips" to your site to ponder some of the probability puzzles. I will, of course, credit you.

Thanks again!
Rip Stauffer

Subject: No Subject
Date: Fri, 21 Jan 2000 23:13:06 EST
From: Specialgirl7@aol.com

I DO LIKE YOUR GAMES. VERY MATH

Subject:
Date: Mon, 17 Jan 2000 19:21:26 +0100
From: meunier marc

Cher professeur, votre site est remarquable. J'ai un grand plaisir à le découvrir. vous feriez aimer les mathématiques à un imbécille !! et c'est ce que j'entreprends auprès d'un jeune garçon un peu paresseux mais qui aime jouer. Je suis un vieil étudiant parisien de 72 ans et vous dis merci!

Subject: nice informative site
Date: Wed, 5 Jan 2000 14:53:59 +0400 (RET)
From: Soumyajit Deb

Hi.

I was looking for some information on the Chinese Remainder theorem and came across your site which i must say is really nice.
thanks

Soumyajit Deb
GDIT-98
Indian Institute of Information Technology
Hyderabad

Subject: new fan
Date: Sat, 11 Dec 2000 19:13:18 -0600
From: Carol Eberle

Just came across your web site today and I love it. It's a good way to entertain yourself on rainy days. Keep up the good work.

Sincerly,
Carol

Subject: Nice site
Date: Wed, 08 Dec 1999 21:04:06 -0800
From: Charlie Reiman

I love your CTK site. Wonderful work. The eyes on the applets are a nice UI innovation. I even saw something I never saw before. On the modular arithmetic page:

http://www.cut-the-knot.com/blue/Modulo.shtml

Crank up the dimension of the table, then set it to a multiplication table. Now just lean back and look at the patterns (not the numbers). There is a set of concentric circles or one spiral tracing where the single digit values appear. It's pretty surprising. It might be interesting to modify the applet to bin the values and display a specific color per cell instead of (or in addition to) the number, thus making these patterns more visible. Well, that's a project for me, not you.

Thanks. I take great delight in still being surprised at mathematics.

Charlie Reiman

Subject: I love your site
Date: Thu, 9 Dec 1999 12:23:18 -0000
From: "97HAREZZ"

Hello,

My name is Sam and I am a student at Lancing College. I find your site most enjoyable, and I try to get into the school computer room at any time during the day. I am even thinking of connecting the computer in my room to a phone line so that I can read your site at night - when the school computer room is locked. I love your site because it is so much more interesting than any other site, and I thought that no mathematics site could be interesting - but I was proved wrong!

I have got nothing to do on the night of the millenium, so I would be most grateful if you could publish extra questions and problems on this website. Other mathematical websites have already done this, but they were too easy and I finished them in one afternoon.

I would feel very happy if you are able to publish quite a lot of hard questions so that I, and my closest friends, would be able to have the most exciting and interesting night ever!

Thank you very much again.

Yours sincerely,
Sam

P.S. Please write back to me to show that you have received my message. It would make me feel very excited to know that mathematicians of your calibre have read my E-mail.

Subject: I never knew maths could be so fun
Date: Thu, 9 Dec 1999 12:31:15 -0000
From: "97NORFOL"

Dear Maths genius',

Your work inspires me, it drives me on, it makes me want to live. You have managed to combine a pinch of magic among a golden milky way of mathematical knowledge. Fantastic. Superb. It flows, like the millenium, through my vessels. It gives me an inner glow which only i have the pleasure to experience.

God ! I love being a nerd
From Luther Sullivan.

Subject: Appreciation
Date: Mon, 6 Dec 1999 21:56:51 -0600
From: "pipecover"

Thank you for this fascinating web site. I'm in my fifties and quite uneducated, but have decided to take mathematics as a hobby. Never was good at arithmetic, but somehow manage to enjoy some forms of math. I like geometry and have no trouble with it. Algebra has always been difficult...but with all the help I have been finding on the web, I am making progress.

Thanks again for opening my eyes to more avenues to explore and enjoy -- it gives me incentive to keep trying. ------

Bill Nilsen

Subject: Perfect
Date: Tue, 9 Nov 1999 01:38:19 +0100
From: Jose Maria Melgarejo

I'm mat-teacher, and, for ever time, one Cut-the-Knot's fan, but I speak, and write, very bad the english language

En español: Es una pagina maravillosa, magnifica. Soy un admirador de estas paginas. Adelante! (go!), sigue asi y que sigas permitiendonos disfrutar.

Gracias (Very thanks)
Jose Maria Melgarejo. Fraga. Spain

Subject: Your column was fun!
Date: Sun, 17 Oct 1999 22:28:21 -0700
From: Sarah

Hello,

I visited your site some weeks ago and thought it was interesting. Well, actually, I thought everyone knew most of it, LOL, but I've loved to play with numbers since I first began to count.

Then I let my 7yo play with your applet tables and got a wonderful surprise. He *loves* playing with them.

He does want to know one thing: why did you list the base twelve numerals as "...fifteen, sixteen, seventeen, nineteen, zipteen..." etc. and leave out eighteen? A typo, I thought. Am I going to have to brush up on my mathematics??

Thanks.
Sarah W.

Subject: Greetings
Date: Fri, 17 Sep 1999 08:10:08 +0800
From: G P Kissane

Alexander,

I took my Year 11 Geometry & Trigonometry to your site today and they had a ball for 80 minutes - they did not want to pack up. Yours is the most complete and exciting page I have ever found on the web. Thank you

G P Kissane
Hall's Head W.A.
Australia

Subject: Thank you
Date: Sat, 04 Sep 1999 11:04:30 -0700
From: Carola Meyberg

Dear author of cut-the-knot, dear Mr. Bogomolny,

I am a student of mathematics, sport science and computer science. I am trying to become a teacher for these subjects. I have just encountered cut-the-knot. It is great. I can imagine it was lots and lots of work to build it up, but it was a great idea. I will very likely profit from it for my later school work or even now as entertainment. I even know from one of my professors he uses it for class work. Thank you so much for having built it up. Great - that is exactly what we need. I hope my students will have the same fun with it as I do.

Best regards from Munich, Germany
Carola Meyberg

Subject: página de geometría
Date: Fri, 3 Sep 1999 15:58:00 -0300
From: Prof. Judith Alderete

Soy Judith Alderete, profesora de Matemática a cargo de curriculum y capacitación en Matemática en toda la Provincia de mendoza, Argentina. También tengo cátedras en Profesorado de Matemática y Licenciatura. Mi especialidad es Geometría. Estoy en este momento armando un libro de geometría para docentes. Por supuesto que de geometría euclidiana con algunas referencias a otras geometrías (no euclidianas, finitas, fractal, etc) pero muy especialmente con referencia al ordenamiento de Felix Klein. Hoy 2 de setiembre de 1999 encontré la página de ustedes y me parece fantástica. Estoy encantada de poder comunicarme. Muchos saludos

Subject: web site
Date: Tue, 17 Aug 1999 10:02:35 EDT
From: Bill Yager

I will be teaching a discrete math course to high school seniors who have previously taken AP Calculus. I needed materials. I happened upon your website and it has been the answer to my prayers. I have found no other math website (1000s searched) that are as extensive and well done as yours. Thank you, thank you, thank you!!! My students will benefit. Obviously, you love your math as I do; now to get my students to develop the same passion.

bill yager
summit, nj

Subject: Thanks for all your hard work
Date: Sun, 15 Aug 1999 12:57:20 EDT
From: David

Thank you for putting so much time and effort into your site. I ordered your CD ROM for my children to use offline (they don't have full Internet access) for expanding their horizons in mathematics. You are much appreciated!

David

Subject: congratulatory letter
Date: Mon, 09 Aug 1999 07:13:56 +0200
From: Stephan Scherrer

To Whom It May Concern.

Your site "cut-the-knot" is the very best thing I found up to now on the web. Sometimes I stay hours and hours at that place, just having fun. Thank you!

Stephan Scherrer

Subject: The Perfect site
Date: Mon, 2 Aug 1999 15:40:05 -0600
From: "Monty Phister"

Dear Dr. Bogomolny,

Yours is a marvelous site. It does very well what I've been trying to do for years--get kids to believe that math is fun and interesting.

I'm developing a new version of my own site, and will be listing cut-the-knot as the best math site I have found.

Sincerely,
Monty Phister
www.gnarlymath.com

Subject: thanks
Date: Thu, 15 Jul 1999 09:44:29 -0600
From: Barbara B. Bath

There is so much here to digest. I can hardly wait to suggest to my students that they check out the site. Thanks. bbb

Subject: website
Date: Wed, 14 Jul 1999 14:59:50 -0400
From: Sheldon Mandel

I read your column on the MAA website, and visited here. It's one of the best math websites I have seen!

Congradulations, and keep it up!.

Sheldon Mandel

Subject: The best page I've ever seen
Date: Mon, 12 Jul 1999 22:50:48 -0300
From: Miguel Molina

Really, you must be proud of this page. Great job!

Subject: your web page
Date: Mon, 12 Jul 1999 20:58:26 EDT
From: Henry Bass

Dear Math guy,

Your web site is a delight. Many thanks.

Henry Bass

Subject: MATH IS FUN!
Date: Thu, 17 Jun 1999 23:34:45 -0500
From: Brenda Ellinghouse

This is my first time searching the web. How fortunate I am to find you! I teach high school math and constantly try to show my students that math is fun. This fall I will be placing a "Problem of the Week" in the local newspaper for students and their families to enjoy. May I use some of your puzzles? Of course, you will be given full credit and acknowledgment.

Funfully yours,
Brenda Ellinghouse

Subject: Wonderful !!!!
Date: Sun, 30 May 1999 23:29:56 +0400
From: Muthukumar

I was never a great maths student, but always felt I had a good "mathematics temper". At 30, I've been trying to make a fresh start with learning maths and your site has been the number one resource in this revival for me - be it selecting the right books or getting a peep into any aspect of mathematics.

Keep up the good work.

Muthu

Subject: Thank you
Date: Tue, 18 May 1999 00:39:39 -0700
From: Dan Scott

I find myself back in school at the age of 55, seeking a bachelors degree in microbiology. Mathematics was never my strong point even though I could get through whatever was required without much trouble in the past. Now I find I have to confront things I have never heard of and it's frying my brain.

Your web site is a treasure trove to me. I will never be a mathematician and I will not understand all you have to offer but you make it stimulating and interesting with link after link to help me tie the knot.

Much thanks
Dan Scott

Subject: your site
Date: Tue, 4 May 1999 15:18:22 EDT
From: ANNA

your site is
excellent!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!
it has taught me alot for my SAT'S tomorrow.

luv you all

ANNA!!!!!!!!!!
X X X X X X X

Subject: moebius strip
Date: Wed, 31 Mar 1999 17:27:45 -0800
From: Laurie Patterson

Thank you for your great site. I've entered a quilt meobius strip in a challenge which was to be mathematical in some way. People will enjoy your information more than my strip!
Laurie patterson

Subject: your site
Date: Thu, 11 Mar 1999 19:43:12 -0500 (EST)
From: Lot Phillips

turns off my webtv. how do you do that?
Lot

Subject: Educational centre for Games in Israel
Date: Sun 1/31/99 3:18 PM
From: Kling

I enjoyed your site and have bookmarked it. I shall come again and will send my children.

OldMum.

Subject: Interest
Date: Sun, 21 Feb 1999 08:02:36 -0500
From: Jim G...

After quitting high school with less than one month to graduation for threatening to throw my geometry teacher out the window I find your web site understandable and will place it at the top of my bookmarks. This happened over 35 years ago and my brain struggled to get my attention ever since.

Thanks for your knowledge,
Jim G...

Subject: I love this site!!
Date: Thu 1/28/99 10:39 PM
From: Amanda B.

Every time I come here, I find something new!! Now that I teach Mathematics at the undergraduate level, I recommend your site to all my students who have an interest in Math. I first came across your site when I was writing my thesis on Cantor sets, but I found so much more. Keep up the good work!!

Amanda B.

Subject: cut the knot
Date: Sat 1/23/99 9:32 PM
From: yo ho

excellent site! should have publishers chasing you around?

i did statistics in college but switch to a career irrelvant to my degree

reading your site really make me think about getting back to the field

keep up the good work!

God bless.

Subject: Your site
Date: Sun 1/17/99 7:14 AM
From: Steve Gray

I forgot to say that your site, from the tiny bit I've looked at so far, is outstanding, and probably the best elementary math site I've seen.

Subject: Your website
Date: Fri 12/18/98 10:20 AM
From: Erin Donovan

Okay, I'm awestruck! After reading your Manifesto, for the first time since I was 7 (I'm 18 now) I'm actually excited about math. I never thought anyone could spark my interest in math again. I've read the math anxiety books, I've tried the 'alternative math' methods, I've locked myself away with no distractions...all leading me to come out more confused & with a greater degree of passionate hatred towards the subject.

Your quotes & explanations were so inspiring! To see math related to poetry (which I am a great fan as well as creator of) totally turned me around.

To keep myself from rambling, the point is a big THANK YOU!!! with an added sigh of relief. Thank you for giving me access & motivation to explore a whole new world I once left as 'water under the bridge', so to speak.

Much sincerity,
~Erin Donovan~

Subject: Your site is great!
Date: Sat 12/19/98 3:34 AM
From: Kevin Barnes

My Librarian showed me this site today. I Love it! The proofs and the challenges are just what this Math Nerd/Addict needed. I have found several challenges to keep me occupied. I will also be visiting your site several times over the Christmas Holiday. I need some real Math and not just linear equatons etc--the stuff of Algebra 1. your site gives that to me! Thanks alot!

Kevin Barnes
Lubbock Texas

Subject: Terrific for Tutoring Too!
Date: Wed 11/25/98 7:31 AM
From: Sherry Roberson

Dear Alex,

Wow! What a great math sight you have created. I am a mathematics junkie and your sight was like the big fix for my addiction.

I am also a tutor for high school algebra and geometry. As a tutor, my goal is usually to make math more comfortable for my students. To expect them to acquire the same fascination I have with the subject seems too much to expect in today's world. However, I was recently surprised when one of my shy students admitted to me that he used to dread doing his algebra homework, but now he actually thinks of it as a puzzle (luckily he likes puzzles) and is eager to keep up with the class and even go beyond the assigned lessons. I think that he will appreciate me introducing him to your site.

Thanks for the terrific work. I will keep returning to your sight and will recommend it to all my math associates.

Subject: Thank you
Date: Do 19.11.98 10:01
From: Francis Kan

Dear Alex, I happened into cut-the-knot accidentally. And I didn't want to leave. If you must know, I have forgotten the magic of Math. I did that a long time ago. Thank you for your site. I will be back.
Francis Kan

Subject: this great site
Date: Mo 16.11.98 20:58
From: Zephyr Johnston

To whom it may concern:

I believe shooling at home is a great thing. It is growing in popularity every year and this transformation is inevitable. So is the growing popularity of the internet. This site is one of a very few that supplies home schoolers and just people in general with a great resource, and I hope sites like this will also gain popularity and, in turn, increase in number.

Sincerely,
Zephyr Johnston

Subject: Cut The Knot
Date: So 01.11.98 11:35
From: Walter Milner

In the UK there is an organisation (to use the term loosely) intended to help teachers in the educational use of the Internet called Schoolzone - http://www.schoolzone.co.uk.

I try to help by reviewing sites related to maths which might be of use to teachers. I have done 4 so far, and the first 3 were fairly dire - but Cut The Knot is excellent, and my review said so (it will take a few days for the review to be checked and put on-line). Keep it up!

Subject: User-Friendly-Site
Date: Mon, 14 Oct 1998 11:31:56 -0500
From: Dan Jones

I have shared many of your puzzles, and comments, with my 6th grade students. There is a simplicity, and grace, in your presentation here at cut-the-knot.com, that not only lures the curious mind, but promises success, as well. Very special.

Dan

Subject: Excellent site
Date: Mon, 14 Sep 1998 11:31:56 +1000
From: Susan

Thankyou, thankyou, thankyou!!!

You could not possibly concieve how overjoyed I was to find this excellent math resource! It is such an understandable, useable, and interesting site. This will be a great assistance in enthusing our students about all things mathematical. It is, without a doubt, the best math resource I have found on the web.

Susan
King's Christian College.

Subject: Hello from Guam!
Date: Sat, 12 Sep 1998 04:19:28 +0800
From: Dan Tomada

Hello from Guam! I didn't know that the web could have a very beautiful site like yours! (like discovering that there is such a geographic site like Mayon Volcano in the Philippines). I'm enjoying it tremendously! I'm a math teacher (middle school, pre-algebra, algebra, geometry), but as someone involved in mathematics I still consider myself not a mathematician...Anyway, I really am having fun learning the mathematics in your site, and started motivating my geometry class with the SHIP/DOCK theorem yesterday. IF I would be able to convert one student who hates "proof" to one who will welcome the opportunity to do them, THEN I would already consider it a success. I'm hoping that my students will come and visit your site on a regular basis. As for now for myself, I just need to really come in here also regularly to learn more. BTW, could please send me the answers to Stephan's puzzles on the DOORS and the KNIGHTS? It seems that he no longer has the email address as linked from your site.

Sincerely, Dan Tomada

Subject: Pirelli Award
Date: Mon, 07 Sep 1998 17:52:03
From: Simona Poidomani

Dear Dr. Bogomolny

I am writing either to congratulate for the Interactive Mathematics pages and to inform you of the Pirelli INTERNETional Award, a prize given each year to multimedia works on science and technology topics, with special sections on information and education.

I should really like to ask you to participate to the 1998 edition of the Award with your web pages. You may find all the detailed information on the prize at the adress http://www.pirelliaward.com" but I will be glad to answer all your questions directly.

Simona Poidomani

Subject: Sharing Information
Date: Fri, 28 Aug 1998 13:08:05 +1000
From: Lucky Wanginanayake

Hi!,

Thanks for providing valuable information. Without you, I wouldn't have been a help to my young son at all. After all these "rusty" years my "grey cells" are gradually ticking away. Keep up the good work.

Lucky Waniganayake

Subject: thanks for your website (from the Oregon coast)
Date: Tue, 25 Aug 1998 18:13:19 -0700
From: Ricardo

Your website at http://www.cut-the-knot.com/ is delightful, and I feel I should write to thank you. I haven't explored it all yet, but it's a pleasure to know that there are still a number of good people in the world (I really equate "good people" and "appreciate mathematics" and "share love of knowledge/civilization with others"). Your presentations are clear and personable. Thanks again. (There are a couple of minor technical glitches in your pages of which I'm sure you are aware, best of luck perfecting them -- very enjoyable webpages). Sincerely, Ricardo

Subject: Your Web Site
Date: Fri, 21 Aug 1998 07:33:36 EDT
From: Pat Hodgkinson

New to the Internet and exploring - came across this via the BBC Home Page. Definitely to be added to favourite places and be returned to regularly. Thanks. As an 'oldie' who left school at 15 and then educated myself to post- graduate level I find treasure troves such as this extremely exciting. I will return.

Best wishes

Pat Hodgkinson

Subject: good on you
Date: Sat, 08 Aug 1998 04:32:53 +1000
From: Erin Walls

Dear Alex B,

I am from Australia and I just went back to school to do maths so I looked at your page and it was really good. I did some of the quizes and they were a lot of fun. I like the way you show us how to do it step by step. Well, I was very pleased with your page. That's it from me. Regards Erin Walls

Subject: Thank you
Date: Sun, 2 Aug 1998 21:44:04 -0600
From: Rich Myott

Thank you for your time, effort and generosity.
Your web site has been a great resource for me.

Subject: Comments
Date: Wed, 29 Jul 1998 18:52:07 +0200 (MET DST)
From: Anna E M Isacson

Honourable Sir,

My name is Anna E M Isacson and I'm an International Baccalaureate student from Sweden.

This last year I've lost almost all of my previous skills in Mathematics, due to the fact that I've lacked in concentration from beeing swept away in more philosophical thoughts during the lessons, all thoughts still concearning the subject though. Your eposes, which treat both the technical and philosophical aspects, make them compatible and gives a holistic picture which gave me that missing part that is only seenable when the whole puzzle is complete, to use an explaining metaphore.

Now I do understand what my free-thinikng Jordanic Maths-teacher has been trying to say to me when I've been way out and totally blocked by the digits, thinking that I wont ever be allowed to use my REAL way of thinking. He has been saying that I shall use it, that I must, really.

Thank you very much for that insight, now I do look forward to the upcoming term.

I'll recommend this site!

Anna E M Isacson

Subject: First visit: but not the last!
Date: Wed, 22 Jul 1998 19:31:02 +1000
From: M&C

Dear Dr Bogomolny, My Mum and I have just started surfing the web together and found this site absolutely intriguing. I'm now a Japanese teacher but have a background in math. Mum first discovered a love for math when she coped with the empty nest syndrome by getting her pilots' license. We hope to visit you (and argue amongst ourselves) many more times. Thanks from Australia. M&C

Subject: A visit by the Mad Mathemagician
Date: Wed, 15 Jul 1998 19:08:08 +0100
From: Laurie B

Alex, Hugely enjoyed first, brief visit to your site (need MUCH monger to dip deeper). WILL come again. Laurie B (The Mad Mathemagician)

Subject: great page
Date: Wed, 27 May 1998 10:58:21 -0400 (EDT)
From: Bill Meisel

Alex--fantastic page. i'm surprised it took me so long to find it. I particularly like the abacus which works very well (the code must have been terrible.) I have been looking for an abacus on the web that really worked and you have solved my problem. Best Wishes.

Bill Meisel [wnm@gsvms2.cc.gasou.edu]

Subject: thanks
Date: Tue, 19 May 1998 17:30:46 -0500
From: Dr. Adrian L. Garcia

Hola!

Thanks for your webpage, it´s lots of fun! I am a profesor at a University in Mexico. I am very interested in communicating science to High School kids. I use the Möbius band to introduce the scientific method. Your web page will enrich my next lecture.

Cheers! Hasta luego! Adrian
===========================================================================

UNIVERSIDAD AUTONOMA DEL ESTADO DE MORELOS - FACULTAD DE CIENCIAS

Subject: Simple but curious
Date: Sat, 16 May 1998 13:31:13 -0500
From: G. L. Honaker, Jr.

Hello Alexander,

I just read your manifesto for the first time and plan to use the site as a mathematics enrichment guide this summer for my students.

As you said, it serves as a resource for things "simple but curious." This can evolve into interesting questions and themes unforeseen. Once, I commented that 131 was the 32nd prime number and that the sum of digits of both is 5. i.e., 1+3+1=3+2.

I recently received this from a software developer who found that:

355,687,428,221,791 is the 10,953,617,999,461st prime .

3+5+5+6+8+7+4+2+8+2+2+1+7+9+1 = 1+0+9+5+3+6+1+7+9+9+9+4+6+1

-- Jud McCranie 5/14/98

Thank you,

G. L. Honaker, Jr.

Subject: link to Interactive Math Games
Date: Fri, 15 May 1998 17:00:36 -0500
From: Amby Duncan-Carr

Re:
http://www.cut-the-knot.com/front.shtml
http://www.cut-the-knot.com/games.shtml
etc.

I'll be adding a pointer to your outstanding materials in the math section of Amby's Education Site -- the games and puzzles are great!!

Thanks for making these available; I'm sure my students will enjoy them.

Amby

Amby Duncan-Carr
webmaster.educate@amby.com

Amby's Education Resource Site:
http://amby.com/educate/

Subject: thanks
Date: Fri, 08 May 1998 10:49:50 +0100
From: Steve Poole

Just a quick thank you for such a nice site.

Subject: mail
Date: Fri, 1 May 1998 19:59:50 +0100
From: Jason

Hello AlexB I happened upon your site by following a link from the BBC Online site in the UK. This is a wonderful site and as a re-doer of maths exams so to speak I am very grateful for this place! I am dyslexic and find your site clearly worded and very enjoyable to work with also to try and solve the problems. I hope that this site continues to grow and I will now be a regular. Thank you and all the best with this site
Jason

Subject: helpful information
Date: Mon, 27 Apr 1998 13:51:58 -0700
From: Lance & Janet Shelley

I am a student at California State University, Sonoma, doing a paper on math anxiety. I really like the way your pages are put together. This site has been extremely helpful in my research.

Subject: A real gem of a site!
Date: Mon, 27 Apr 1998 15:06:09 EDT
From: Darrell

I'm a neophyte mathematician...and your site is definitely one of the best in any catagory I've visited. Thanks for sharing your love of the mystery of mathematics with the cyberworld. Darrell

Subject: Calendar Magic
Date: Sun, 26 Apr 1998 12:03:38 +0200
From: Juergen Christoffel

Hi Alex,

I found your website by chance and I love it! It will find a place in my list of all-time cool places on the Internet. It would be worth to be translated into as many languages as possible for the benefit of those who aren't fluent enough in english to appreciate it fully.

Besides being a great display of the fun one can have with Mathematics it's a great example of the possibilities of the Internet. And a great example of the usefulness of Java applets instead of those dumb scrolling advertisements most people display.

Regarding your page "Calendar Magic": you might want to add a reference to the following book to your page:

    Dershowitz, Nachum; Reingold, Edward M.: Calendrical calculations Cambridge University Press , 1997

They describe various calendar systems and how to convert between them; conversions are described in both ordinary mathematical notation and in Lisp (which actually is used in the Emacs editor's calendar modul). A website dedicated to the book and the code (incl. a calendar applet) is at http://emr.cs.uiuc.edu/home/reingold/calendar-book/

Regards, JC

Subject: Java Mathematics Games
Date: Sat, 18 Apr 1998 21:20:50 EDT
From: Stephanie Killian

Hello, I really admire your webpage and all the interactive puzzles that it contains. Currently, I am working on a webpage for the Goudreau Museum of Mathematics (www.mathmuseum.org), and I was wondering if I could use some of your applets for the webpage. We are a non-profit museum, and the addition of some of your puzzles to our page would be highly appreciated.

If you don't want us to use it, I would understand.
Thank you.

-Stephanie Killian

Subject: Perrier
Date: Fri, 17 Apr 1998 11:06:12 +1200
From: Carolyn

Thanks alot for your enlightened site. Amazingly, the ideas you have on Perrier and the whole recall situation in 1990 were exactly what I needed for an assignment. Keep it up!!

Carolyn from New Zealand

Subject: Modular Arithmetic & more
Date: Wed, 8 Apr 1998 01:58:19 EDT
From: Jimandflor

I just recently got on the Inernet, and went in immediate search of mathematics. Your site makes me feel like a kid who's found the biggest candy store imaginable.

Subject: From a mexicano admirer of your page
Date: Fri, 27 Mar 1998 09:45:42 -0600
From: Rafael Gatica Sanchez

I was just browsing in the net and i find your page. As you can see, i dont speak a lot of english, i speak a lot of spanish so let me say: su pagina es grande, hermosa, lindisima, increible, preciosa, realmente lo felicito. Fue una gran sorpresa encontrarla. Please, what i wrote is: your page is great, beautiful, nice.

Subject: You math pages
Date: Wed, 25 Mar 1998 12:12:52 -0800
From: Payton, Paul

Alexander,

Your pages are awesome. Like a trip into a mathematical garden with all sorts of interconnected paths. I love them! They're like cerebral Prozac without the harmful side-effects.

Two things make your pages neat: (1) you get the distinct feeling when you read them that there's excitement and elegance to mathematics. (2) you see how aspects of mathematics which are seemingly unrelated actually are connected.

As yet another intellectual "Alex" would say (the one hosting 'Jeopardy!'), "Well done."

-pmp

Subject: Thank You!
Date: Wed, 25 Mar 1998 13:09:47 EST
From: Carolyn Wilson Koerschen

Dr. Bogomolny,

I am an American schoolteacher who reads Wired magazine and your website.

I could spend hours exploring the links you list. Your thoughts and the connections you provide are valuable to me as I think about and plan learning experiences for my students ( limited English speaking kindergarteners) and for my own children (an average middle class boy, age 6 and girl, age 4).

Thank you for giving me insights which I use in presentations for my teaching peers and and in conversations with parents in this community (Palo Alto) who are constantly debating educational philosophy and practices.

With Appreciation,
Carolyn Wilson Koerschen

Subject: One of the best sites I've met
Date: Tue, 24 Mar 1998 15:49:24 +0200
From: Udi Wolf

Hello

I realy loved your site.

We have a virtual school (most of it is in Hebrew) and I looked a lot of time for sites like yours. It takes a lot of time to cover it all, but from the little piece that I've checket it's great!!

May I, (and, if yes, how can I) use the banner of the different bases of visitors? (with credits of course)

Udi Wolf
Karev project of Education (In Israel)
The Information Dept. and Internet webmaster
Udi Wolf, Jerusalem
Look at our site http://sites.snunit.k12.il/karev
Keep thinking about Ron Arad
http://www.10million.org/

Subject: Getting girls excited about math
Date: Tue, 24 Mar 1998 15:07:28 -0800
From: Karen Willson

Dear Sir:

I am the editor of the largest site on the internet for girls, A Girl's World Online Clubhouse. http://www.agirlsworld.com.

Our mission is to encourage girls to finish high school, go on to college, and explore the wonders that are math and science and to consider a career in these areas.

We are a volunteer, girl run organization. Our girls are smart girls, looking for ways to bend and explore their minds. I think your java based math games are wonderful. I'd like to ask your permission to link to your games from our site, giving you the appropriate copyright and link information so girls can explore the rest of what you have to offer.

I will also gladly give you a credit on our credit's page, a thank you to adults who care about girls.

Best wishes,
Karen Willson
http://www.agirlsworld.com

Subject: your website
Date: Fri, 20 Mar 1998 23:30:45 -0600
From: Jon Basden

Mr. Bogomolny,

I have frequently visited your website, but I had not read the manifesto until tonight. You probably get comments about this all the time, but I just want you to know that I found your points to be inspiring. I am in my first year of teaching math, and I am still wrestling with my educational philosophies and methods. As I look towards making some alterations in the way I teach for next year, reading your website came at an opportune time. I just wanted to let you know that I enjoyed and found value in your writings.

Sincerely,

Jon Basden, 7th Grade Math
Highland Middle School

Subject: A Great Site
Date: Tue, 17 Mar 1998 20:24:24 EST
From: Peter

Hi there,

I accidentally visited your site, and I must say this is the BEST Math site I've ever visited. Mind you, I go to every conceivable math sites around the globe. I am thrilled to have this discovery.

Yet curious, why is this with a "dot.com" extension. Do you do this as a hobby or is your site a part of a research company?

Again, this is a neat site and I am telling all my math friends about it. Put it mildly, your site is like the cyber version of a Ian Stewart book. Good job.

Peter

Subject: Prime numbers
Date: Wed, 11 Mar 1998 20:57:13 -0800
From: José Antênio Fabiano Mendes

344555666677777 is prime.
 197198199200201 is prime.
  Best regards,José Fabiano
   Rio de Janeiro,Brazil
    Wonderful site,congratulations!!!

Subject: Any Suggestions?
Date: Wed, 04 Mar 1998 12:49:22 +0000
From: Melissa Parker

I love this site. I am a homeschooling mom and have found a wonderful math program. It is called Intuitive Math and it is not in publication any more. It challenges my children to think by using logic and sequence questions and logic and comprehension questions. My children are 6 and 8 now. Do you have any suggestions on any other cirricula or supplements to help them as to explore and learn mathematics?

Thanks Melissa Parker

Subject: felicitaciones
Date: Sat, 14 Feb 1998 12:37:49 -0400
From: Domingo J. Subero M

Todavía no he podido ver toda el site, pero nos parecio excelente. Esperamos que siga ampliandolo. Nos gustan la paradojas. Gracias.
Domingo Subero (43) y Berenice Subero (8).
Caracas Venezuela.

Subject: Praise
Date: Thu, 12 Feb 1998 17:49:25 +0200
From: John Tsoukalidis

I'm interested in mathematics and I have been searching a Web site with problems and puzzles. When I found your site I was amazed by the plentitude of it. Your puzzles are great, your explanations are more than explanatory and the Java applets are very nice and interesting that help you understand the puzzles. Very nice work!

CONGRATULATIONS!

John

Subject: Thank you
Date: Wed, 11 Feb 1998 09:15:12 -0700
From: Sunnyside Elementary School

thank you for this wonderful website it is alot of fun.

lydia-2-11-98

Subject: 12 Coins
Date: Sat, 31 Jan 1998 23:26:58 -0800
From: jamie hofman

I've been banging my head against the wall for months now trying to figure out that blasted 12 coin & balance scale problem, and YOU finally gave an answer that not only works, but is also in terms that even a violist can understand! Many thanks!!!

Subject: napier
Date: Wed, 28 Jan 1998 16:58:46 -0600
From: Terry C. McKeon

loved your article on Napier.

It will give needed info to my daughter for her report.

Thanks.

From,
Terry :-)

Subject: ceva
Date: Tue, 27 Jan 1998 19:41:58 -0800
From: Rick Jerding

I just wanted to thank you for creating your web page, it answered a lot of my questions about cevian triangles.

Subject: Great Math Puzzles
Date: Sun, 25 Jan 1998 18:30:42 -0800
From: Rachel

I love your brain teasing puzzles!

Rachel

Subject: Site visit
Date: Sat, 24 Jan 1998 21:56:06 +1100
From: Tina Keur

Our local newspaper advised that this was a site worth looking at - and I am having a great time!

Subject: Tickling the ol gray matter
Date: Sat, 17 Jan 1998 22:36:11 -0500
From: mleach

Just wanted to let you know that I Love your site! Not a day goes by that I don't try to learn something! Your site helps to stimulate the mind, and causes synapses to fire that otherwise wouldn't! Thanks and keep up the great work!

Subject: Congratulations
Date: Fri, 16 Jan 1998 18:40:00 -0200
From: Marcus Murillo

Dear Alexander:
I enjoyed visiting your coolest site.
Thanks

Marcus Vinicius Murillo
Porto Alegre RS
Brasil

Subject: Your Site
Date: Sat, 10 Jan 1998 17:21:25 -0500 (EST)
From: Joseph A. Perrie III

I would like to say that I really enjoyed your site. I am Electrical Engineering student at Ohio University, and a person who greatly appreciates higher mathematics. My home page is also devoted to mathematics. I am currently taking a course in elementary number theory (to complete a math minor) and your site is an invaluable resource.

Thanks,
Joseph A. Perrie III

Subject: Alexander Bogomolny
Date: Wed, 24 Dec 1997 21:04:55 -0000
From: Wanda I. Duma

Alexander:

Visite su pagina "Math Games and Puzzles" y considero que es una de las mejores que he visto en la Internet. Como maestra de matematicas una de mis metas es ayudar a mis estudiantes a que superen su miedo hacia las matematicas, para que asi puedan apreciar su belleza y disfrutarla.

Atentamente:
Wanda I. Duma
Puerto Rico

Subject: wow
Date: Tue, 23 Dec 1997 21:46:00 -0600
From: Mike Nolan

Just a note to tell you I found this site by accident and I love it! Don't let it die!

Subject: super!!!
Date: Mon, 15 Dec 1997 18:47:23 -0500
From: Melanie Ouellette

C'est vraiment interessant de voir tout ce qui est sur cette page. Ca fait des heures que je suis dessus et je n'ai pas vraiment fini de faire le tour...:)

Felicitation,
C'est merveilleusement bien reussi.:)

Melanie
Ouellette

Subject: what a beautiful site!
Date: Wed, 26 Nov 1997 03:54:42 +0100
From: Jens Petter Nilssen

dear Alexander,

I am impressed by the completeness, atractiveness, creativity and generousity of this site. One of the best I have seen on Internet.

Are you awary of such sites e.g. in ecology or music (my fields)?

Together with mathematicians, 'ethno-mathematicians', ecologists and other scientists we are trying to set up a Niels Henrik Abel-center in Gjerstad, the place where he grew up. More about that in: www.abel.org, unfortunately only in Norwegian and very superficial for the moment.

I hope we will manage to create the center (it will be hard work), and we'll keep you informed.

all the best

jens petter

Subject: I really like your site
Date: Sunday, November 09, 1997 11:12 PM
From: Martin Raznovich

I really like your site.I like the way you used Java and Javascript to do something different from the usual applets that only make same pages look more interesting. Furthermore it is comforting to see that so many people share this passion towards Mathematics as recreation. I'm a great admirer of Martin Gardner more than Raymond Smullyan.

Martin Raznovich

Subject: re site
Date: Wed, 05 Nov 1997 15:21:13 -0500
From: Bonnie Kelly

Phenomenal! I am sending my students to your site. They are creating web pages in their course (I teach College Algebra and Business Calculus) and are now liking math because it's fun. Besides being faculty, I am also attempting to get my Ph.D in Math. I was asked why? since I was older etc. I said because it is enjoyable. Your page confirms. Thanks!

Bonnie Kelly

PS Any suggestions as to how to get them to do some simple javascripting or java itself? If you don't have time to respond, thanks anyway for the great info!!!

Subject: your cut-the-knot web site
Date: Sun, 02 Nov 1997 01:43:09 -0500
From: Evans

Bravo, sir! I just discovered your site and can't stop marveling at how beautifully you've done it. I've persuaded my wife (social worker at a private school) to give the URL to all the teachers where she works. I have a graduate degree in math -- because I love it -- and I take some professional pride whenever I see it so well served. Thanks.

Subject: What fun!
Date: Fri, 31 Oct 1997 11:46:33 -0800 (PST)
From: Joshua Zucker

Your web site is just about the best collection of math stuff I've seen anywhere. I think it's one of the very few that shows the superiority of the web over a good book, with things organized in multiple dimensions and with references to related ideas in intelligent ways.

Keep on growing!
--Joshua Zucker

Subject: Manifesto!
Date: Wed, 29 Oct 1997 02:08:18 -0500
From: mdt001@ibm.net

The beauty of your words in the above manifesto! They are beautiful and immortal!! The eloquence used in the Description of mathematician is little known and well recieved by a Mathematician still young in his heart and body.

I will explore the rest of your site, but the manifesto is worth an early response.

May Calculus guide you even further!

Subject: Pulling Teeth Can Be Fun!
Date: Tue, 14 Oct 1997 17:31:34 -0400
From: "Don Yungher"

Alex,

Incredibly, unbelievably and inexplicably I find myself enjoying the immpossible: playing with the kids, in front of the screen, fun games which you insist on calling MATH. Can't be. Wow!

Thus, while kudos are naturally in order, I actually do have a question: what is the mathematical formula for Josephus Flavius' survival method? I played it at random and survived here and there, but not with a real method!

And another logical impass, that even your heavily quantitative mind will find difficult to answer: How can a Mathematician such as you have such a good sense of humour when it is a universally acknowledged truism that your "kind" are "serious", really boring individuals? One is either funny or a mathematician...

Again, thanks for the unexpected pleasure.

I 'll talk to you soon,
"Nathan"

Subject: cut-the-knot
Date: Sun, 12 Oct 1997 15:15:05 +0800
From: "Henry"

Hi,

This is the most GREAT area I have ever seen.

The cut-the-knot real cut the knot

Henry

Subject: Parabéns (Congratulations)
Date: Fri, 3 Oct 1997 23:20:09 +0100
From: "Heitor Surrador"

I'm sorry, but I'm going to write in Portuguese.

Tenho que vos dar os meus parabéns pois esta é sem dúvida a melhor página sobre matemática que vi até hoje na Internet. Continuem e ampliem-na.

Parabéns.

Subject: Notes on Ian Stewart's word puzzles
Date: Thu, 11 Sep 1997 20:00:49 -0500
From: Sara-Jayne Farmer

...

PS. I love the site - as a rebellious mathematician, it's nice to feel I'm not quite so alone. Thanks. Sara Farmer.

Subject: Some pigeonhole problems
Date: Fri, 19 Sep 1997 16:02:01 +0100 (BST)
From: William A McWorter Jr.

Alexander,

Enjoyed your site. Many of the pigeonhole problems you list I have never seen before. They look interesting. Will know more when I look more closely.

Here are some pigeonhole problems I invented but expect may be already known. I'd like to know if you have any information regarding them (references, nice proofs).

...

I too think your site serves a useful purpose. I will send your url to a teacher (Cynthia Lanius) in Texas.

William

Subject: Can I copy your pages for our school intranet?
Date: Sat, 06 Sep 1997 20:39:14 +0930
From: Christopher Blake

Hi :)

I loved your maths puzzle site (http://www.cut-the-knot.com/front.shtml)- congratulations ! I am currently trying to put together an intranet for our school, in order to cut down long download times. Would it be possible to include your site on our intranet ? We would present it exactly as you authored it and would of course give you full credit and acknowledgement. I'm not sure how long we would want it for, possibly a few months.. (It looks to have lots of good ideas !)

Looking forward to hearing from you soon

Chris Blake
Information Systems Manager
Pembroke School
South Australia

Subject: cut-the-knot
Date: Tue, 19 Aug 1997 13:40:41 -0700
From: buddy jalmasco

sir,

i hit upon your site thru the kindness of robert pour, ph.d. of emory & henry college.

my fellow math teachers and students enjoyed the wonderful things found in it.

i have a website of my own and with your permission i would like to link mine to yours. is that okay?

i must say we have yet a lot to learn on this side.

i'm thinking of a lesson plan exchange with you. what do u say?

buddy

Subject: Great puzzles
Date: Mon, 18 Aug 1997 19:38:30 -0700
From: Clay Moorer

Hi! You've got great puzzles. I'm a junior in high school and I love math.You're puzzles give my brain a real boost.

Subject: Thank you
Date: Mon, 25 Aug 1997 21:02:51 -0400 (EDT)
From: Heather

I just wanted to say thanks for having this sight...I searced everywhere for a math page like this, and finally found it! I am studying for the SAT, and I've been out of High School (thus, any math skills) for 4 years, being in the military, and this just might help, I hope.

Thanks,
Heather

Subject: Congratulations
Date: Thu, 21 Aug 1997 23:54:20 -0500
From: Zakaria EL Mrabet

Hi,

I'm currently a teacher in education. I spent a lot of time navigating in your website. Bravo!

My english is not good, so I'll continiue in frech.

Il y a encore des gens en éducation qui pensent que les technologies ont des effets néfastes sur le développement intéllectuel de l'être humain. Le site "cut-the-not" est un exemple à suivre et à imiter avec toute modestie. C'est un mariage harmonieux de la technologie et des Mathématiques.

Alexander Bogomolny a su vulgariser les mathématiques avec la passion du poete et la rigueur de l'enseignant.

Je vous félicite ainsi que les membres de votre équipe pour votre contibution pour améliorer le contnu du village Global.

Zakaria EL Mrabet.
Université du Québec à Montréal
Canada

Subject:
Date: Sun, 20 Jul 1997 22:41:37 -0500 (CDT)
From: Brent Tworetzky

wow. my name is Brent Tworetzky and i'm a high school student. sorry to bother you, but your site is fantastic. its got great explanations from several different angles. you've obviously spent great amounts of time on this site and the web's academia certainly owes you a lot for your contribution.
thank you, Brent Tworetzky

Subject: well done
Date: Thu, 17 Jul 1997 16:50:40 +0000
From: Rachel

Congratulations on your brilliant page.
We are all very impressed.
We were looking for inspiration on how to make web based maths discovery games and things, and this has been great fun!!
Rachel and Shareen

Subject: math ideas
Date: Thu, 17 Jul 1997 08:07:40 +1000
From: Noumea Public School

Hi, I'm a Year Six Teacher in Sydney Australia. I just love your pages...

Thanks for all the great ideas!!!!! Kerri-Anne

Subject: math
Date: Wed, 25 Jun 1997 11:32:28 -0700
From: Drinkwaters

dear sir,

I was just browsing when I found your page. I myself love math with a pasion. I am a grade 11 student but I have finished math 12, scoring 98% on my gov't final, and am atempting calculus. I just thought I would drop you a line to say I agree with you 100%.

thanx

Douglas Drinkwater

Subject: Wonderful...
Date: Mon, 16 Jun 1997 17:35:00 -0700
From: Dominik Weber

This site is just the right thing to warm the heart of an old math-lover.

Thank you.

Nik

Subject: About your site
Date: Fri, 13 Jun 1997 00:14:19 -0600
From: David Marshall B.Ed.

Alex,

Your site is marvelous!

I'm a teacher who has returned to university to work on a diploma in Educational Technology. I have been researching educational sites on the Internet and tonight decided that I had not found any good sites for children and although your site is a little above most children, it is a superb site for teenagers and older. You meet all of the criterion that I have decided on for educational sites: interactivity, appropriateness for the web, attractiveness and usability. Do you have any secrets that you'd like to share? Did you create most if not all of the puzzles on your site? Are you planning any additions or changes? Do you have any other sites, educational or otherwise? Please write and let me know what you think about my comments.

Looking forward to hearing from you.

David Marshall B.Ed.

Subject: It is fun
Date: Sat, 31 May 1997 18:54:11 +0800
From: Isabel Woo

Alexander,

After I visit your site, I am interested in Maths again. Before I never noticed that Maths can be so useful and interesting. Thanks. I will keep visiting this site.

Isabel Woo

Subject: OUTSTANDING!
Date: Wed, 23 Apr 1997 02:13:57 -0700
From: Carl Kuiper

That certainly is an outstanding site that you have there and we (The Cal State University, San Marcos) are very proud to add your link to our page. It was just recently unveiled and we invite you to come have a looksee for yourself.

Carl Kuiper
President CSUSM Math Club

Subject: What a site!
Date: Fri, 11 Apr 1997 23:34:20 -0600
From: Jamey Osborne

I just found your site, having been referenced by Web Review's web article about web programming.

I must say, as a teacher and scholar, I am thoroughly entranced with your site and will recommend it to the math teachers I work with. While not a "math person" myself, I quite enjoy the interactivity of your site and stimulation it provides.

In addition, I plan on recommending your site to the teachers for whom I will be doing an Internet in-service this next week.

Congratulations and keep up the good work!

Jamey Osborne
El Paso, Texas

Subject: Asia mirror for Interactive Mathematics Miscellany and Puzzles
Date: Wed, 19 Mar 1997 10:13:25 +0800
From: Wynthia Goh

Hi Mr Alexander Bogomolny,

My name is Wynthia Goh. I am the project leader for MirrorS, a project funded by the Singapore National Computer Board to mirror educational resources in Singapore/Asia. The objective is to make access to Internet resources faster for the education community in Singapore/Asia.

We would like to ask for your permission to create a Singapore/Asia mirror of the Interactive Mathematics Miscellany and Puzzles website located at http://www.cut-the-knot.com/.

Local schools face problems of bandwidth congestion especially when connecting to the US backbone. We try to alleviate this by mirroring over Internet resources the schools have found useful. Some of the mirrors we currently maintain include the Project Gutenberg, the Why Files and the MathForum, Science and Its Environment and more. The list of mirrors we currently maintain can also be found at Mirrors.org.sg.

This proposed mirror will be publicly accessible to everyone on the Internet.

We would be happy to follow any mirroring requirements you may have, just let us know!

Hope you will be agreeable.

Thank you.
Wyn

**************************************************************
Wynthia Goh, Project Leader
MirrorS, Schools Online Singapore *Is your school online yet?*
"Education is one of the chief obstacles to intelligence and
freedom of thought." - Bertrand Russell
**************************************************************

Subject: creativity
Date: Sun, 16 Mar 97 14:25:54 EST
From: Cliff Pickover

Hi Alexander, loved your web page. Take a look at mine which is devoted to mathematics and creativity. Regards,
Cliff Pickover

Subject: Great Page...
Date: Tue, 25 Mar 1997 16:56:05 -0600
From: Bill Bosslet

Hi alex....Great page.

May I make 2 suggestions:

  1. Get rid of the italics text you use to label buttons in the left hand screen.
  2. Create a section that emphasizes teaching math using technology.

I'm doing a search for a class that I am taking, looking for articles about teaching math using technology, but haven't had much luck finding what I need. But I stumbled across your page, and I'm glad I did. Great job....

Bill

Subject: Saludos
Date: Sat, 15 Mar 1997 18:37:05 -0600
From: Maximino Rodriguez Contreras

Hola, esta es la primera vez que visito tu hoja web, yo vivo en la ciudad de Queretaro en Mexico y estoy buscando un tema adecuado para mi presentacion final de la materia de Matematicas Discretas en los cursos de Maestria en Ciencias Computacionales que actualmente curso. Me parecen sumamente interesantes los temas que expones aqui. Creo que te visitare frecuentemente.

Saludos
Maximino Rodriguez Contreras
(42) 17 07 17
Queretaro, Mexico

Subject: no subject
Date: Fri, 28 Mar 97 10:26:49 -0800
From: John J. Jordan

Have enjoyed the home page. Have you written any books that are available. Please e-mail me a list of your books.

Thank You

John Jordan
Kilmeena, Westport
Co. Mayo
Ireland

Subject: Re: Possible error
Date: Sun, 30 Mar 1997 20:49:03 +1000
From: Ian Clark

Sorry my fault, I didn't realise that you were using [] for integer part. I'm a school teacher, and we usually tell the kids to only use the four operations plus square & sq root. Do you have your pages in text form viz: Word 6 with MathType etc, I would like to present this info to my staff and the net is not a good engine for supplying formatted pages. The praise for your web page is well deserved, I like you see many pages, yours is by far the most professional I have seen.

PS What country does this all eminate from. I'm a High School Head Teacher Mathematics, in Campbelltown, New South Wales, Australia. I have informed many about your page and it's excellent content.

Ian Clark

Subject: Site evaluation
Date: Mon, 24 Feb 1997 21:38:42 -0700
From: Ken Wareham

Dr. Bogomolny:

Thank you for permission to use your resume. You have an impressive list of accomplishments.

I wish I had found your site sooner. I used to teach high school math and could have used it to the great benefit of my students. I have already told my colleagues to check it out so they can begin using it.

The evaluation is a simple 3-5 page write-up dealing primarily with user friendliness issues rather than content accuracy. With your background I doubt you will be too impressed with it, but I will send you a complete copy of the evaluation when it is completed. You may freely reprint or quote any statements made in the evaluation.

In closing I must once again exclaim my admiration for what you have done. I have looked over dozens of web pages and numerous profesional journals and have found nothing that can compare to your work. Thank you for creating such a fun, engaging, stimulating, and educational work of art.

Sincerely,

Ken Wareham
MS candidate
Utah State University Department of Instructional Technology

Subject: Pythagorean Proof
Date: Thu, 13 Mar 1997 15:46:02 -0500
From: Yinon Bentor

Thank you very much for creating this wonderful site with 9 proofs of the Pythagorean theorm. All the 200+ students in Geometry Honors at Watauga High School here in Boone, NC have had an assignment to find a proof of the theorm. Your site has been a great resource. I only have one suggestion: the white lines and text used on the diagrams for the proofs do not print on a B+W printer (and I doubt that they would print on a color one also), making your site not very useful when printed out. Unfortunatly, many students still need to provide written evidence (in one form or another) that the material has been found, and that is not possible if your site cannot be printed out.

Once again, thanks for a great page!
Yinon Bentor

Subject: Hello!
Date: Mon, 24 Feb 1997 22:26:33 +0800
From: Jonathan

I'm really impressed with the Maths pages! They really bawled me over! But after reading the content, I'm much clearer about Maths! Thanks from a 14 old from Singapore

Subject: Linking to your site
Date: Wed, 05 Mar 1997 11:33:00 +1000
From: Paul Drayton

To the Web Manager

The New South Wales Department of School Education (Australia) is to launch its new Web site during March 1997.

As your site has been identified as one that would be of educational value to the teachers and students of NSW Government schools, we wish to provide a direct link to it.

Should you object to this link or require further information please contact pdrayt8d@dse.nsw.edu.au by Monday 10 March 1997.

Paul Drayton
Project Manager
DSE Web Site Development Team

Subject: Great site
Date: Thu, 06 Mar 1997 19:52:41 -0800
From: Kelvin Dueck

I am a high school math teacher, and your site is far and away the best math site that I have come across. It is entertaining for young people, as well as being challenging. I think that it is the Chicago Bulls of math sites. It there any way that I would be able to get copies of the Java applets that you have written, and install them in the computer lab at my school? We currently don't have internet access to all computers. Thanks

Kelvin Dueck

Subject: site
Date: Thu, 20 Feb 1997 07:21:53 -0800
From: Paul O. Boubion

Thanks for your great math problems. I am an 8th grade Math-Sci. teacher at Lorbeer Middle School in Diamond Bar, California.

It's been a tough year!!!!!!

I am new to the Middle School gig and appreciate your resource.

-Pablo

Subject: Re: >>> Human Calculator <<<
Date: Sun, 23 Feb 1997 20:50:56 GMT+2
From: Akis Karnouskos

Excellent site my man!

You wont believe how long I ve been searching for this stuff!

Keep me informed on anything similar or new!

Thanx,
Akis

Subject: Mathematical Problems
Date: Thu, 16 Jan 1997 16:55:36 PST
From: Bethan Evans & Gwyn Pleming

Dear Alex,

We are a pilot scheme which is introducing internet possibilities to primary schools in North Wales. At the moment we are a cluster of eight primary school who are trying to develop a mathematical Web site.

During the course of our preparations we came across your excellent Web-site. There are a number of your Java games we would like to use. Is it at all possible for you to send us the Java Programme used to create these games? We would of course give you full credit for these games, and a link from our page to yours.

Bethan Evans & Gwyn Pleming
(class teachers)

Subject: probablility problems
Date: Mon, 9 Dec 1996 13:28:18 -0500
From: KMealor@aol.com

I enjoyed the probablity examples. Do you have similar problems elsewhere on the net?

Karl

Subject: wow...
Date: Sat, 08 Feb 1997 18:15:57 -0500
From: Mo

Dear Cut-the-Knot,

 This is the coolest math/science web site I have ever seen!

    Very Impressed,

       Mo

Subject: Compliments
Date: Tue, 28 Jan 1997 22:32:57 -0800
From: Web-Solution

Your page is awesome! We'll be regulars from now on. We found you through the Davidson Megazine link.

Subject: Base Calculator
Date: Sat, 18 Jan 1997 11:19:42 -0800
From: Jack Stoob

Alex:

I'm just learning a bit about javascript and I came across your Base Calculator. I'd like to modify it some and use it in a course I'm teaching here at Humboldt State University.

With your permission, I will do so.

Thanks!

Jack Stoob

Subject: Your Applet(s)
Date: Tue, 17 Dec 1996 23:17:22 +0000
From: Postmaster

Dear Alexander Bogomolny,

Seasons Greeting!

We are conducting a search of the Internet for fine examples of Java resources and have come across some resources that belong to you. They are: "Analog Gadgets", "Eye Opener Series", "Magic Squares", "Three glass puzzle"Cryptarithms", "Base Converter", "The Game of Nim Demistified", "Analog Gadgets" and "Probabilistic Simulations and Problems". We have created an entry in our database for your material so that other developers may find reference to it from our search engine.

Along with each database entry is a comment giving a brief Description of the resource. If you would like to see the comments, they are accessible at: http://www.javacats.com Please feel free to review the entries and send any comments or concerns to: webmaster@javacats.com

The site www.javacats.com, known as Digital Cats', is a web site dedicated to providing tools and information to beginning and advanced Java developers. Our audience is comprised of international developers mainly from the US and Japan. We would like to know how we can better serve you. Please feel free to participate in the shaping of this site by sending any comments or suggestions to: webmaster@javacats.com.

Happy Holidays!

Cliff

Subject: Your amazing web site!
Date: Fri, 29 Nov 1996 16:46:50 -0800
From: Bill Siebler

For the past several weeks I have been compiling a selection of web sites to be included in a supplement to a new mathematics text that I've co-authored for Prentice-Hall. The text is aimed at liberal arts students who need a general, yet relevant course to satisfy their graduation requirements. Your site is the richest one I've found in terms of both content and construction. I'm truly impressed.

Thank you for sharing this with all of us.

Bill Siebler

Subject: Great puzzles!
Date: Sun, 01 Dec 1996 13:15:14 -0800
From: Suzanne Mooney

Thanks for your fantastic page. It warms the soul and gets the imagination going for one and all. Suzanne Mooney

Subject: Page Error
Date: Sun, 08 Dec 1996 06:15:42 -0800
From: "M. Neidorff"

You folks have a great site here!!!! I spotted one very small problem... Please note that on your Analog Gadgets page: the correct spelling is "scissors" not "sissors" (first sentence).

--

     <<  Mark  >>
              ___
            __HHH__
             (@ @)
--------.oOO--\_/--OOo.-------------------------------------------------------------
| Mark Neidorff                                |   The trouble with being          |
| neidorff@csfaculty.engr.ccny.cuny.edu        |   in the rat race is              |
| Just Answers!                                |   that when you win,              |
| Computer Systems Solutions                   |   you are still a rat.            |
-------.ooo0-------0ooo.------------------------------------------------------------
       (   )       (   )
        \ (         ) /
         \_)       (_/

Subject: Permission
Date: Sun, 10 Aug 1997 12:36:18 -0400
From: Michael Grady

Dear Dr. Bogomolny:

I am setting up the Math Dept. web site at Jamestown College and would like to include your excellent list of links, with your permission.

I have acknowlegements and links to your email address and your interactive math site at the bottom. If you would like me to move them to a more prominent location, I should be happy to do so.

Many thanks,
Michael Grady

Subject: Re: Rounding numbers
Date: Tue, 19 Nov 1996 19:01:16, -0500
From: (MR GERRY W WHITTAKER)

Thank you for your reply. She is doing much better with math. Your reply surprised the whole family.

Subject: Re: Question about the pi.gif file
Date: Fri, 29 Nov 1996 11:53:53 +0800
From: (Wong Pooi Chan)

Hi,

Thanks for your guidance.

Have a nice day and good luck to you.

Subject: Mathematics is a language.
Date: Sat, 26 Oct 1996 21:48:27
From: Dan Lee

I think I know where this Gibbs quote came from. *I* read it in a biography of JW Gibbs. I don't know if there's more than one full-length biography of him, so it shouldn't be too hard to find. And not only did Gibbs say that math was a language, but he also stated that math should count as a foreign language requirement, something that I think Harvard should do too :) But anyway, Gibbs had made other speeches besides that one. One that comes to mind is a speech in which he expressed the need for improvement in the use of units. At the time, of course, scientists had a tendency to use things like pounds as both a unit of mass and force. Apparently, he came up with a few wacky solutions to this problem of ambiguous unit usage.

Subject: cutting pipe
Date: Tue, 29 Oct 1996 15:21:29
From: "R.S. Weir"

Alex:

Thank you very much for the quick solution to my problem!

R.S. Weir
R.S. Weir General Contracting, Inc.

Subject: Re: THE GAME OF NIM
Date: Thu, 12 Sep 1996 10:17:24
From: MOOSEMAN47

ALEXANDER, THANKS VERY MUCH FOR YOUR HELP. YOUR PROOF IS A LITTLE BIT BEYOND ME AT THIS TIME. HOWEVER, THE RULES WILL SUFFICE NICELY FOR WHAT I HAVE TO DO, I THINK. I WILL TRY TO FIND GARDNER'S TEXT WHEN I GO TO THE LIBRARY TODAY. AGAIN, THANKS. MAYBE WE CAN CONNECT AGAIN SOMETIME. RICK EASON

Subject: Re: Super Numbers
Date: Mon, 14 Oct 1996 09:27:38
From: Jordan Erenrich

>Jordan,
>
>thanks for visiting my pages.

It seems ridiculous to thank me. You seem to have a very good page (a lot of which I can't acsess because of Java, but the rest is good) If my opinon is not enough, your page is referenced by quite a few other pages. (You can do a search on altavista like "link:http://www.whatever.com" Check the exact sytax. Or I can tell you where I saw your page referenced.)

Subject: Eye opener page
Date: Thu, 29 Aug 1996 12:27:30
From: Robin Debreuil

Hello!

Beautiful site! I am a graphic designer in Manitoba, Canada, and while flipping through your site I noticed the 99=100 box applet. This uses the same principles that some visual puzzles I've designed use.

The web site is crap, as I've been a little overwhelmed with other work this year, but if you would like to use the puzzle on your site, just give me a shout... I think it would fit in. It would do well with a bit of Java, and a different background, but that could easily be done.

Thanks,
Robin

Subject: +Your Site+
Date: Fri, 12 Jul 96 20:35:56
From: "Yinal 'Red Ice' Ozkan"

Dear Alexander,

I was really impressed by your simple (cool) mathematics. As the web constructor of my site I want to see something interactive and making people think (it's necessary in Turkey) I don't know your policy about mirroring but if I will mirror your sides I'll keep all the names and the links to your to your side and etc.Also including new tutorial pages in TURKISH!!!.

Well I'm looking forward for any kind of response.
Thanx.
Yinal

Subject: Your page
Date: Mon, 29 Jul 1996 01:24:53
From: Kindler Guy

Dear Alexander,

as you have probably been told, your page is absolutely wonderful.

I have a page of mathematic riddles myself (not even close to the beauty of your page, but the problems are of a different nature).

I am going to add a link from my page to your site if you don't mind (if you do, please notify me).

If you be interested in having a look at my site, or maybe even tell me what you think of it, my page is at

        Thanks,
            
             Guy
Subject: My Favorite Mathematics Quote
Date: Mon, 27 May 1996 14:33:03
From: Anne Palmer Johnson

Greetings from Rappahannock County VA

I was unable, after several tries (Netscape 2.0), to activate your link directly from your Submit button at the bottom of your Quotations page. Here are my selections:

Feynman is my preference in that it seems to capture the "why" of mathematics which generally is not as well understood as the "what" of mathematics.

Gibbs is my favorite because his simple quote brings back fond memories of my father who loved the simplicity of math and used this quotation frequently. You have made the quote all the more pleasurable by providing the story behind the quote. Thank you.

About your logo . . . it suggests that you have five dimensions. If spiritual, physical and intellectual are three, what might be the fourth and fifth dimensions?

Subject: donation
Date: Wed, 10 Jul 1996 03:38:35
From: Reaz Hoque

Hi,

I am working on an application based JavaScript 3.0 book and was wondering if you would like to donate your codes to my book for free. You will have your name in more than 10,000 copies. Please reply if you are interested. If you are interested you will be asked to sign a release form, which will be sent to you. I also will need some support so that I can describe your codes in my chapters. Your codes might be in a CD ROM as well. I am interested in unique code and/or code written for Navigator 3.0. BTW, Have your code been published before?

Thanks,
Reaz

Date: Fri, 29 Mar 1996 22:19:10
From: Hugh Satow
Subject: Your WWW pages

I enjoyed visiting your pages - in particular the water puzzle, because the ending is so neat!

Hugh Satow

From: Nick Kravitz
Date: Thu, 21 Mar 1996 00:24:19

Alexander:

I am extremely impressed by your site. As I am working on mathematical puzzles myself in Java, I am very interested in your work. However, I am having several difficulties. For the puzzles I am making, I would like to have a set of buttons which when pushed, change their label and/or change position, something which seems to be possible in Java but not Javascript....

Nick Kravitz

Date: Thu, 22 Feb 1996 14:57:36
From: trog
Subject: Magic Squares

Hello
I am a fanatic over your magic square game. I want to inform you on a bug in it though. The rules for the game (I didnt need) were written in white and the background also is white, You cant read it. Also i wanna get the source for your cool game and wanna know how you made it so that the source was not grabbable.

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