38||||||This site is the BEST i%27ve ever been to in the whole wide world%21%21 I thank you from the deepness of my heart for making not only equations%2C but also algebra%2C absolutely thrilling%21%21|||862|7|0 138|0|J.A. Paulos|10/19/2000|16:47:41|J.A. Paulos|link|Hi AB%2C%0D%0A%0D%0A%0D%0AI just linked your wonderful site to %5Ba href%3D%22http%3A%2F%2Fmath.temple.edu%2F%7Epaulos%2F%22%5Dmy home page%5B%2Fa%5D.||1276|5.5218253968254|0 4|0|alexb|10/19/2000|22:35:49|E. Bradley|the abacus|%0D%0ADear Mr. B.%0D%0A%0D%0A%0D%0AI am a high school %28formerly middle school%29 math teacher and built a math%2Fwriting unit around the abacus for ||1480|5.48015873015873|1 6|0|S.Head|10/21/2000|10:38:20|S.Head|add a link|The purpose of this email is to seek permission to add a link to your site Cut- the- Knot from my site - innumeracy.com%2C which is still in developm||1207|5.51351351351351|0 8|0|pradeep das|10/24/2000|18:56:11|pradeep das|Great Work%21%21%21|Yea%2C there are people who are so wonderful to mankind. And I%27m convinced of it more and more. Great work.%0D%0A%0D%0AThanks Alex%21||989|5.49898580121704|0 9|0|alexb|10/27/2000|07:54:16|Navé, Peter|Gordian Knot|Hello%2C%0D%0A%0D%0AI would like to submit a few remarks on your web-pages.%0D%0A%0D%0A%5Bol%5D%0D%0A%0D%0A%5Bli%5DPresenting mathematics to a large a||1030|5.49559082892416|1 10|0|Linda Berryhill|10/29/2000|01:17:09|Linda Berryhill|American Schoolteachers|I read with tongue in cheek your observation of the choice of magazine that a teacher might choose. Then to top it off%2C I read the letter from the ||1073|5.54758418740849|2 11|0|Big mamma Bertha|10/30/2000|14:28:39|Big mamma Bertha|I love ur site%21%21%21%21|i just wanna say that i love ur site. it%27s in my favorites file%21 i read everyday%21%21%21%21%21i know nothing about math...but i love now it b%2Fc||850|5.50738007380074|0 16|0|Tuten, Rudolph|11/03/2000|10:01:55|Tuten, Rudolph|Cut The Knot|I%27m just dropping a line to say I have found enjoyment in your site. I will turn my kids on to your site in hopes of sparking a little curiosity in ||855|5.5025641025641|0 17|0|alexb|11/03/2000|11:48:23|Abhishek Dwivedi|Supply of a proof of the Pythagorean theorem|Sir%2C%0D%0AI am Abhishek Dwivedi%2Ca high school science student from Mumbai%2C India.I liked your website very much.I would like to contribute anoth||951|5.49712092130518|1 18|0|Kiquito|11/03/2000|16:57:12|Kiquito|Contradictions|The arguements of how many mistakes the sentence indeed has is truely astounding. I found this site a true joy%2C as I%27ve seen most of your guests w||854|5.5|0 20|0|derek.edwards|11/05/2000|07:46:27|derek.edwards|Re Linus Pauling%27s Joke|Hello%2C%0D%0A%0D%0AHow%27s this for a rapid response%3B it%27s about your exchange of e-mails with %5Ba href%3D%22%2Fpauling2.html%22%5DMichael Bulme||882|5.44124700239808|0 23|0|Jean|11/05/2000|15:28:43|Jean|your logo|Hi there Alexander%2C%0D%0A%0D%0AI just wanted to make a side note about your logo. I like it very much%2C and have a closeness with that shape myself||873|5.4880694143167|0 26|0|Lyman Hurd|11/08/2000|18:57:50|Lyman Hurd|Day Knights and Night Knights|Your page%3A%0D%0A%0D%0A%5Ba href%3D%22http%3A%2F%2Fwww.cut-the-knot.com%2Fimpossible%2Fbrothers.html%22%5Dhttp%3A%2F%2Fwww.cut-the-knot.com%2Fimpossi||888|5.51073985680191|0 12|0|bigman (Guest)|11/14/2000|14:28:39| Smithy Powerchig|i love math%21|Hi i just wanted to say to all u math lovers out there%7E%7E rock on%21 this site is fantabulous%21 its my all time favorite and i think you should ke||962|5.47281713344316|1 28|0|Serena J (Guest)|11/15/2000|09:27:01|Serena J (Guest)|THIS IS GREAT|tHIS PAGE IS REALLY GREAT%21%21%21%21%21 I AM GLAD I LOOKED HERE%21%21%21 THANKX||856|5.52144469525959|0 29|0|alexb|11/16/2000|23:24:09|Dave Grundy (Guest)|your probability page|hi alex%2C%0D%0A%0D%0Awas stumbling around the net looking for an answer to the game %0D%0Ashow problem when i came across your website which put that||898|5.49299065420561|1 30|0|alexb|11/17/2000|23:14:37|Tom Brown (Guest)|children with same birthdays|I have three children %2C from two separate marriages%2C who have the same birthday%2C today%2C Nov.17.%0D%0A%0D%0ALaura is 40 today.%0D%0A%0D%0AChris||919|5.4837962962963|1 31|0|alexb|11/21/2000|09:36:05|Krizan Livic (Guest)|well done%21|Dr. Alexander Bogomolny%2C%0D%0A%0D%0AI found your website while looking for math puzzles to send my brother Nikola accross the country. He%27s study||981|5.49222797927461|1 32|0|Alexander Birman (Guest)|11/23/2000|01:50:33|Alexander Birman (Guest)|A wonder|Dr. Alexander Bogomolny%2C hello%21%0D%0A I would like to pay your attention that the topic %22there are no two equadistant integer numbers from an ir||882|5.49175824175824|0 33|0|alexb|11/26/2000|13:48:22|Emil Cicchelli (Guest)|math on the web|I think your Cut the Knot%21 site is great in both content and design. I%27m working on a calculus site and I%27m unsure of how best to display math n||1016|5.47911547911548|1 34|0|Phil Boyle (Guest)|11/28/2000|11:48:23|Phil Boyle (Guest)|Great site|Hi%0D%0AI%27m Phil an English primary school teacher living in New Zealand. I disliked maths at school but was hooked on it by acolleague back at Croc||898|5.49765258215962|0 35|0|alexb|12/01/2000|09:58:44|V. S. Bell (Guest)|elementary students|Your site is very detailed and exciting. However%2C I would like to use some of the applets and interactive activities with my 4th grade students. C||973|5.50657894736842|1 36|0|alexb|12/05/2000|22:00:54|Zalinah (Guest)|Download puzzles and games|I am a teacher in one of the schools in my country and I would like my students to try the games and puzzles first before looking at the explanation. ||972|5.46506550218341|1 37|0|alexb|12/05/2000|22:55:50|Emil Cicchelli (Guest)|Math on the Web|I think your Cut the Knot%21 site is great in both content and design. I%27m working on a calculus site and I%27m unsure of how best to display math n||968|5.4647201946472|1 39|0|Rocky M (Guest)|12/12/2000|08:30:54|Rocky M (Guest)|this is really good. it better than a normal maths lesson%21|hey this is much more fun than doing normal work ijn maths%2C esp algebra%21||867|5.46649484536082|0 41|0|alexb|12/17/2000|11:23:46|Gaston M. Santander (Guest)|What the heck does %22whack the site%22 mean%3F|What the heck does %22whack the site%22 mean%3F%3F I was visiting your site and I am just curious.%0D%0A%0D%0AGS||1429|5.47920133111481|6 40|0|someone who really dislikes math (Guest)|12/18/2000|08:36:02|Thalea Hurren (Guest)|Maths|I really dont like maths I like horseriding and horses I%27m only on this site because my teacher made. Some puzzles are ok but most of them wont load||1004|5.50582750582751|2 42|0|Gianfranco Zola (Guest)|12/20/2000|00:34:56|Gianfranco Zola (Guest)|Feedback|I say - WAY TO GO%21%0D%0A%0D%0AAs a degree holder in Math%2C I must say this is the most interesting site I%27ve seen in a while.%0D%0AIt covers so m||919|5.48711340206186|0 43|0|Stan Tokar (Guest)|12/27/2000|21:12:26|Stan Tokar (Guest)|Dear Alex thanks for making a wonderful site|i just want tell how much i love your website very informative and interesting it is.I think you should have math puzzles from Terry Stickle to get it||906|5.46135265700483|0 44|0|robert dawson (Guest)|01/01/2001|01:14:34|robert dawson (Guest)|eye opener| The 99%3D100 is completely wrong%2C the cut piece of the rectangle won%27t fit%2C if moved up one and to the right. Each unit square%0D%0Agets smalle||870|5.47429906542056|0 45|0|Jan (Guest)|01/01/2001|10:12:34|A senior high school from Taiwan (Guest)|I need help%21%21|Well...first of all%2CI really like your website.%0D%0AAnd I%27m looking for some resources about %22polygonal numbers%22 for my sciense exibition.So ||1120|5.47659574468085|3 46|0|VinceT (Guest)|01/02/2001|10:36:36|VinceT (Guest)|java base tables|I just want to thank for the java page for various bases. I was trying to find something on the web concerning %5Ba href%3D%22%2Fblue%2FModulo.html%2||874|5.46074380165289|0 48|0|alexb|01/04/2001|12:34:24|orlad (Guest)|exams%3F|this site is excellent. i%27m trying to find some sites related to the A Level math exam or can help improving logical thinkin ||953|5.46958174904943|1 49|0|Milind (Guest)|01/05/2001|19:15:19|Milind (Guest)|Cool site%21|Nice comprehensive cool site...%0D%0AKeep it up Alexander%21||880|5.48922413793103|0 50|0|shipmate8 (Guest)|01/06/2001|13:56:51|shipmate8 (Guest)|Thanks|Thanks for the help with the quick reference script to cross ref%0D%0Abinary--hex--decimal.%0D%0A%0D%0ANice%21%21%0D%0A%0D%0AGreg||886|5.51209677419355|0 51|0|alexb|01/12/2001|13:21:09|ToniMouse (Guest)|Great sight-but I have a question about one of the solutions%21|I%27m Toni. I%27m 13 years old and very interested in math. I think that your site is great. I first went there because I was trying to find Presid||1634|5.50641025641026|1 52|0|alexb|01/14/2001|12:57:56|michael rinaldi (Guest)|Re%3A Counter|Hi Alexander%3A I think your counter w%2F different bases is great%3B I was wondering if you would send me the file so I can use it in my own website.||834|5.51528384279476|1 53|0|Dean (Guest)|01/14/2001|16:16:34|Dean (Guest)|Your fantastic site.|Hello Alexander%2C%0D%0A%0D%0AI am a computer science graduate with a great interest in maths. It is nice to see a site that allows its viewers to ap||792|5.48672566371681|0 55|0|alexb|01/28/2001|21:05:22|mommy m (Guest)|math game|i need help on my math game.%0D%0A||854|5.48412698412698|1 59|0|Melyssah (Guest)|02/02/2001|07:55:20|Melyssah (Guest)|Hello|i like this site we go on it during math period and i%27ts fun i love it and i want to keep exploring and seeing the other kool things you guys have t||776|5.4989247311828|0 60|0|alexb|02/04/2001|07:55:20|Bob Yarbrough (Guest)|Permission|Dear Sir%3B%0D%0A%0D%0AThis message is two-fold. First I would like to tell you how much I admire your wonderful web site at cut-the-knot.com. For t||886|5.47081712062257|1 61|0|Breanna the Diva (Guest)|02/06/2001|14:39:30|Breanna the Diva (Guest)|Great Site%21|%2A%7E%2AGreat site%2A%7E%2A But it was a little confusing%2A%7E%2A Seeing as how bad I am in math tho%2A%7E%2A I liked it%2A%7E%2A||796|5.56314699792961|0 62|0|alexb|02/07/2001|13:24:44|Jane (Guest)|Polygonal numbers|Here I got some questions%3A%0D%0A%0D%0A1.What is the rate of growth of polygonal numbers in dependence%0D%0A on a rank%3F%0D%0A%0D%0A2.Why the tranf||1153|5.49072164948454|1 27|0|Steve Conn (Guest)|02/10/2001|00:06:50|steve conn (Guest)|your site|I%27m a high school mathematics teacher and I happened on your web site this evening. So far I%27ve been pretty disappointed with the web as a teachin||2456|5.51211631663974|2 63|0|alexb|02/14/2001|00:05:18|Nick M (Guest)|Matricies and Determinants|I am a striving 10th grade math student. Our teacher has presented us with this question%3A Why do the theories for 3 x 3 determinants work%3F We kno||2248|5.53913043478261|1 64|0|alexb|02/15/2001|08:41:30|Jan (Guest)|Polygonal numbers|Hi%7E%0D%0AIt%27s me again.....%0D%0A%0D%0AAbout %22derivative%22 that you mentioned%2CI%27m still a little confused.......%0D%0ACan you give me some||2457|5.46060606060606|3 65|0|Holly A. Ayotte (Guest)|02/15/2001|20:01:33|Holly A. Ayotte (Guest)|Thank you|this is a great tool for a struggling pre-teen||2230|5.49667405764967|0 66|0|adnan (Guest)|02/16/2001|09:23:39|adnan (Guest)|cut-the-knot|%0D%0A%0D%0A I have never seen such a good site about Mathematics%21 %0D%0ACut-the-knot is really wonderful. Thanks you%21||2260|5.53765690376569|0 73|0|Rainer Leiblein (Guest)|03/05/2001|09:39:26|Rainer Leiblein (Guest)|http%3A%2F%2Fwww.cut-the-knot.com%2Fblue%2FSysTable.html|I revisited your site to find roman %28latin%29 expressions for bases other than Ternary or Quintal%2C but without success.%0D%0A %0D%0AHi Alex.%0D%0||4288|5.48640483383686|0 74|0|Sharon Hessney (Guest)|03/05/2001|09:57:03|Sharon Hessney (Guest)|Galton board|LOVE YOUR SITE%21%21%21%21%21%21%21%0D%0A%0D%0AIf you have the time and inclination%2C a really good Galton board is needed. those on the web are okay||772|5.51296829971182|0 75|0|Kamalesh Agarwalla (Guest)|03/07/2001|16:36:52|Kamalesh Agarwalla (Guest)|glass problem for 6oz|its really a nice site%3A%29 thanks for the puzzles. I found a sequence for 6oz%3A%0D%0A8 0 0%0D%0A5 0 3%0D%0A5 3 0%0D%0A2 3 3%0D%0A2 5 1%0D%0A3 5 0%0||743|5.5|0 78|0|alexb|03/22/2001|00:03:19|Ella (Guest)|I need help with Pick%27s pleeeease%21|Your site is very cool%2C but I am a mere high school student%2C and I don%27t understand the Pick%27s proof very much%21 I need to research it for ||843|5.47962382445141|1 79|0|Gracie|03/28/2001|00:38:39|Gracie|sheer beauty|A wonderful website%21%21 %2Aapplause%2A%0D%0A%0D%0AI%27ll certainly recommend this site to my friends. %0D%0AIn fact%2C I have posted your website in||713|5.46801346801347|0 57|0|Ian|03/28/2001|15:36:58|jennifer hartt (Guest)|re%3A poll|Defining mathematics%3F%0D%0A%0D%0AInterestingly%2C the most popular quote seems to be the one referring to the beauty of mathematics%2C ultimately su||965|5.49713193116635|2 81|0|Chris Spear (Guest)|03/31/2001|16:09:33|Chris Spear (Guest)|Pythagorean proofs|Thank you for the excellent page on proving the Pythagorean Theorem. I am using the graphics in a class to excite the students about new ways to look ||733|5.4638783269962|0 87|0|Emir (Guest)|04/26/2001|17:03:13|Emir (Guest)|You are COOL|You are THE BEST math site on the net%21%21%21I%27m from Bosnia and Herzegovina and I think you%27re giving a lot of interesting things on your pages%||646|5.46428571428571|0 88|0|david beattie (Guest)|04/26/2001|21:25:27|david beattie (Guest)|Thanks|Wanted to know how to construct a pentagon. Google. Your excellent site%2C info elegantly conveyed. This is what the Internet is for. Thank you ve||641|5.47846889952153|0 89|0|Eric Curtis (Guest)|04/29/2001|15:40:22|Eric Curtis (Guest)|Mathematical Enigma|I would like to point out some mathematics on website %0D%0Ahttp%3A%2F%2Fwww.geocities.com%2Fgodisreal_uk%0D%0AMathematicians may find it interesting.||674|5.46315789473684|0 90|0|mech (mech@vachefolle.com) (Guest)|05/09/2001|08:33:11|mech (mech@vachefolle.com) (Guest)|Thanx|Big thanx for my teacher... Mr OMARJEE...||669|5.5|0 91|0|Steve (Guest)|05/09/2001|14:43:18|Steve (Guest)|Stern-Brocot and Gears|There%27s a nice article on history and an unlikely application at%0D%0Ahttp%3A%2F%2Fwww.sigmaxi.org%2Famsci%2Fissues%2FComsci00%2Fcompsci2000-07.html||651|5.48148148148148|0 92|0|alexb|05/15/2001|09:12:31|Pat Robichaud (Guest)|Hanoi Towers|This is a very challenging activity%2C I%27m in grade nine and it took me about 20 times to get the %228%22 block question. It took me 567 moves...%0||747|5.48026315789474|1 95|0|alexb|05/28/2001|18:37:29|Heather (Guest)|Cool Site|Hey.... this is a pretty cool site%2C but the page where the two triangles are%2C and when they are reconstructed and one has a whole.. I just don%27t||829|5.48412698412698|2 96|0|alexb|05/29/2001|19:24:06|Doodle Pie Guy (Guest)|Hello%21|My teacher told my class to come here and I can see why%21 It%27s a cool site%21 But their is one thing. I can%27t find the part labeled %22Pythagorea||723|5.52631578947368|1 97|0|sissy england (Guest)|05/30/2001|09:56:25|sissy england (Guest)|math|i really like your site itmakes you learn alot thanks for the cool site and i just want to say is that my teacher coach brown loves your site to. than||647|5.50806451612903|0 107||||07:58:09|viresh|Date Game|%0D%0AThanks for this wonderful site%21%0D%0A%0D%0ARegarding the Date Game%3A Without referring to Nim and related arguments%2C the argument can be si||256||-1 99|0|alexb|06/08/2001|07:58:09|viresh|Date Game|%0D%0AThanks for this wonderful site%21%0D%0A%0D%0ARegarding the Date Game%3A Without referring to Nim and related arguments%2C the argument can be si||724|5.59523809523809|1 100|0|Mandy (Guest)|06/10/2001|18:17:10|Mandy (Guest)|Your site|Hey%21 My name%27s Mandy and I%27m in grade 8 and I really enjoyed this site%21 It%27s original and I liked reading the explanations about the math eq||599|5.52688172043011|0 101|0|person (Guest)|06/12/2001|10:31:29|person (Guest)|site|hi%21 nice site%21 very helpful %26 challenging%21%0D%0A%28i was forced to come here during computer class and i never realized the amount of joy math||612|5.5|0 102|0|Rebecca Pipe (Guest)|06/12/2001|13:49:13|Rebecca Pipe (Guest)|Thank you soooooo much|Thank you for this wonderful site%2C I have to do a project on pythagorean triples for my GCSE maths course%2C and this was such a big help%2C with th||625|5.43396226415094|0 103|0|Liliya Kosovan (Guest)|06/17/2001|19:28:18|Liliya Kosovan (Guest)|Math is NOT worthless|Hi everybody. My name is Liliya. I%27m 13 and I finished 8th grade. I just wanted to say that math is not worthless. A lot of jobs and works are done ||653|5.81081081081081|0 104|0|Claire (Guest)|06/22/2001|17:40:27|Claire (Guest)|This site is fab|Thanks for creating such a great site it has really made math alot more fun and interesting it has also helped me and my class mates in a very big way||605||0 105|0|Patel jayeshkumar (Guest)|06/26/2001|09:19:05|Patel jayeshkumar (Guest)|Tips of verigication multiply|Dear sir%0D%0A%0D%0AI have gone through your web site and in its very good tips. I have one tips which may publish in your site. %0D%0A%0D%0ATips%3A C||615||0 106|0|spud (Guest)|06/29/2001|23:25:52|spud (Guest)|%22math%22|each day i find something new%2C and the relationships i intuitively feel and see are still more exciting and satisfying that those i can analyze or p||577||0 108|0|dick vatter (Guest)|06/30/2001|08:08:15|dick vatter (Guest)|scheduling problem|we have a group of 12 golfers who play 6 rounds on vacation. we would like to find a format where each plays with 6 different partners and against ea||586||0 86|0|Sudarshan Rajan (Guest)|07/03/2001|18:00:50|Jared (Guest)|java game|Do you have a game on your site involving six coins that are laid on a strip of paper marked off with seven squares. The middle squae of the paper is||873|5.5|2 110|0|Iulianos Kakulidis (mailto:julian@utn.gr) (Guest)|07/09/2001|09:06:44|Iulianos Kakulidis (mailto:julian@utn.gr) (Guest)|Three 5%27s|31%3D%26l%3B%28sqrt%285%21%29 %2B 5%29 %2A %26l%3Bsqrt%285%29%26r%3B%26r%3B||557||0 111|0|Shalinder Chopra (Guest)|07/12/2001|01:05:05|Shalinder Chopra (Guest)|Tower of Hanoi|A wonderful site. Good exercise for the grey cells. The game tower of hanoi was cool%2C it looked simple but was pretty entangling. Enjoyed solving it||590||0 113|0|Brown Eyed Girl (Guest)|07/17/2001|09:16:46|Brown Eyed Girl (Guest)|Thank You|I just read your %5Ba href%3D%22http%3A%2F%2Fwww.cut-the-knot.com%2Fmanifesto%2Findex.html%22%5DManifesto%5B%2Fa%5D. I am one of those people who som||595||0 114|0|Danielle Sanby (Guest)|07/22/2001|23:13:16|Danielle Sanby (Guest)|what i think of your website| to reader %2C%0D%0A I thought this site is vrey interesting but i%0D%0Athink you could make the games a bit better and funner%0D%0A Its ||577||0 115|0|sudha (Guest)|07/23/2001|08:09:03|sudha (Guest)|RE%3A good maths site |i am from chennai%2Cindia%2C%0D%0Athis is really good maths site.%0D%0Akeep going..............%0D%0AAdd lot of puzzles.it is nice to solve.%0D%0A%0D%||588||0 116|0|Eric Glenn (Guest)|07/27/2001|00:45:52|Eric Glenn (Guest)|Thank you%21%21%21%21|I recently visited your site and found your page %22Base Converter%22.%0D%0A %0D%0AIt is great%21 It was exactly what I needed%21 Thank you very much%||563||0 117|0|Phidias N. Bourlas (Guest)|08/03/2001|08:21:04|Phidias N. Bourlas (Guest)|Pythagorean Theorem proofs|Great site%21%21 Congratulations is the least I can say%21%0D%0A%0D%0AAs about the Pythagorean theorem%2C%0D%0Ado you know that Eleftherios Argyropoul||603||0 118|0|Mike Antholy (Guest)|08/10/2001|08:26:14|Mike Antholy (Guest)|Smarandache non-euclidean geometries| The Euclidean%2C Lobachevsky-Bolyai-Gauss%2C and%0D%0A Riemannian geometries are united altogether%2C in the%0D%0A same space%2C by the SMARANDACHE G||553||0 119|0|SaMcD (Guest)|08/19/2001|17:49:55|SaMcD (Guest)|The Game of Jam|Tha game of jam is cool||571||0 120|0|Annabell (Guest)|08/28/2001|09:24:36|Annabell (Guest)|math|Dear mathmeticians%3A%0D%0AYour website is very good for mathmeticians of the world. Although%2C yes%2C some parts were a wee bit confusing%2C overal||552||0 121|0|fnh (Guest)|08/30/2001|22:03:05|fnh (Guest)|site comments|Your site is great%21 I love the content and organization. ||545||0 122|0|Juexiu (Guest)|09/11/2001|09:23:11|Juexiu (Guest)|Maths|I alway is poor in algebra. From some activities and puzzles i done interest me in algebra. This website is told by my teacher Mr Eric to visit. It re||536||0 123|0|Brittany (Guest)|09/11/2001|22:48:54|Brittany (Guest)|Geometry|I didn%27t really get a chance to actually do anything in here but I can see that it%27s going to be alot of help to me in my math even though I am al||534||0 124|0|Rohit|09/28/2001|13:36:45|Rohit|cool site|Alex%2C%0D%0A%0D%0AI liked your web site very interesting and well thought of. I personally love the subject - Mathematics. But unfortunately%2C I fel||533||0 125|0|Shibu Narendran|10/02/2001|12:54:56|Shibu Narendran|Great site %21|%5Bfont color%3D%22ffffff%22%5DGreat site %3A%29 %21%21 The puzzles were really enjoyable %21%21 The use of java scripts %2F applets have made the puz||505||0 127|0|jeremy|10/10/2001|20:44:54|jeremy|hiya|I just hit your site when I did a search on integral domains - perfect%21 Our lecturer blasted through them really fast so I%27ve been reading your pa||527||0 130|0|alexb|10/13/2001|12:16:00|Khanh Nguyen|Math problems|This is a marvelous web site. It%27s a gem stone in a desert of commercial%2C %0D%0Anonintellectual sites. It%27s tantalizingly close to salvation. I ||616||1 132|0|mykestan|10/14/2001|08:20:40|mykestan|everything is pre-encoded|Hi Alexander%2C we have never met%2C but we may one day. I was in a quandary after having scanned the %27manifesto%27 quickly%2C so I figured more att||503||0 134|0|spacetime84|10/15/2001|06:12:11|spacetime84|this is a site of the highest class|%0D%0A This is the greatest site i have ever visited.its simply fantastic.though i don%27t find enough time to go through the site thoroghly and enjoy||481||0 133|0|Shaunte|10/15/2001|10:24:50|Natalie Sprigg|What an AMAZING site%21|I just wanted to tell you how amazing this site is. I have searched for a site where my students can find information and be entertained at the same ||648||2 126|0|alexb|10/16/2001|12:54:56|rohitw|Search option in this forum|Hi Alex%2C%0D%0A%0D%0AMay I suggest a %22search%22 option in this forum. That will help in looking for the right discussion that I want. Particularly%||588||1 136|0|Lauren |10/16/2001|22:22:37|Lauren |hey|this website is kinda boring. even tho i havent really looked through it well bye%21 ||482||0 140|2|alexb|11/01/2001|21:26:06|NINER|PARRONDO|Your web site mentions a applet which can be run%3B using varable input for the number of games%2C and chances of win%2Floss for each game.%0D%0A%0D%0||846||5 142|0|alexb|11/07/2001|21:28:54|Piers Haken|script error on some pages.|I%27m getting a script error %22ord is not defined%22 on some of your pages %28eg. http%3A%2F%2Fwww.cut-the-knot.com%2Fcontent.html%29. it looks like ||541||1 143|0|Pablo PRINA|11/12/2001|23:40:14|Pablo PRINA|Spanish translation|Alex%3A%0D%0A%0D%0APlease%2C translate your page to spanish.%0D%0A%0D%0AI%B4ve been reading your web page and i thing that is awsome but i can%B4t und||470||0 144|0|anu|11/15/2001|07:06:59|anu|Great Site Alex%21|Hi Alex%2C%0D%0A%0D%0ACame across your site while random browsing.. felt like a kid stumbling upon the Hansel and Gretal candy house... %0D%0A%0D%0AGr||463||0 145|0|aditya kiran|11/21/2001|11:31:22|aditya kiran|great job|you have done a great job.i really appreciate your work.it has been of rgeat use to me.if uneed any help from be sure that u will get it.keep it up||453||0 146|0|alexb|11/21/2001|17:38:40|ecoist|Seeing through the dots|Like your wife I could see nothing either looking at those dots.%0D%0AHowever%2C when I selected what appeared to be two similar areas near the center||567||1 147|0|Meanracin2006|11/27/2001|07:12:01|Meanracin2006|Nice Site|cool this site rocks so well sign a lot of these so that is about it... %3A%29||440||0 148|0|Radha|11/29/2001|08:41:21|Radha|absoultely wonderful site|Hi%2C%0D%0A%0D%0A Though I was always interested in maths right from my childhood%2C I never imagined that it could be so very wonderful.%0D%0A%0D%0AT||449||0 149|0|imobius|11/29/2001|09:44:03|imobius|search of moebius got me here|A web-search of %22moebius%22 got me here and I%27ve found so much more%21%0D%0AI%27ll bring my son here tonight %28LOVES mathematics%29. We will exp||425||0 150|0|Ahmet ARDUÇ|12/01/2001|06:02:49|Ahmet ARDUÇ|Thanks for all..|Thanks for this great web site that you found.%0D%0AI%27m a mathematics teacher at a private high school in T%FCrkiye. I%27 m interested in cut-the-kn||439||0 151|0|alexb|12/01/2001|22:18:36|karen mondt|towers of hanoi|I like the site%2C but there is a mistake though. the towers of Hanoi aren%27t invented by Edouard Lucas%2C it existed already for ages amongst the b||528||1 153|0|Martin|12/04/2001|01:06:50|Martin|Nice web site|Hey this is a nice site but one think what I don%27t like is that this is kind of intricate. It has take me 15 minutes or more to find out how you can||473||0 152|0|jl schmitt|12/04/2001|11:45:44|jl schmitt|Impressed%21%21%21|I usually dont write on boards but I must say I am very impressed by this site and i will let it know.I will encourage my students to visit it%0D%0AIn||466||0 154|0|Anthony Quinn|12/09/2001|12:35:21|Anthony Quinn|Mathematics in general|Although living in U K I am very grateful for the time and trouble you have taken to put together all of these mathematical topics.%0D%0A%0D%0AIt is q||471||0 155|0|Srhtwo|12/11/2001|23:33:59|Srhtwo|hi|your wedsite is cool. and you are cool. but how old is your son. I got your wedsite from my teacher. and she says that my class has to study your work||472||0 157|0|alexb|12/18/2001|21:28:39|Nithyanandham|Error in the Contents|%0D%0A%0D%0AIn the below link%0D%0Ahttp%3A%2F%2Fwww.cut-the-knot.com%2Fdo_you_know%2Ffew_words.html%23closed%0D%0Athe following definition is found.%0||570||1 159|0|alexb|01/04/2002|16:49:18|Cheryl|Found an error|I%27m getting a runtime error on some of your pages. On several pages it said that in line 575 %3Cord%3E is not defined. ||514||1 161|0|alexb|01/09/2002|15:00:36|Kathryn White|Thank you%21|I am the mother of a gifted child who is very interested in Mathematics. He is only 7 right now and I am able to handle his curiosity. I know a day wi||545||1 162|0|M. Meger|01/09/2002|21:35:13|M. Meger|Comment|Thank you for a wonderful website. I teach a course at Buffalo State College about teaching math to students with mild disabilities. I will be sure ||498||0 164|5|alexb|01/13/2002|15:52:45|jack202|triangle knowing A%2CO%2CH|If we know the position of A%2CO%2CH in a triangle we can trace%0D%0A%0D%0A1%29 The excircle D %28center O%29 and radius OA%0D%0A2%29 The 9-point circ||591||1 166|0|alexb|01/16/2002|22:19:47|Deborah Ronco|WOW|I just wanted to tell you how incredible %28and how grateful I am that I found it%29 your web site is%21%21%21%21%21%21 %0D%0A%0D%0ADeborah Ronco ||631||2 167|0|Ivan|01/16/2002|15:47:44|Ivan|Just Saying Hello|Dear Sirs%3A%0D%0A%0D%0AYour site is gorgeous. Congratulations.%0D%0A%0D%0AIvan||497||0 168|0|Debora Whitham|01/17/2002|07:02:33|Debora Whitham|cool site|I think this wensite is so much fun%21%21%21 thnx x x x x||498||0 170|4|gina|01/18/2002|07:47:01|gina|maths of course|I live for this site i visit every day and one day i hope to actually own it. iv got pe later which means i will leave this site till i get home from ||524||0 171|0|Thank you|01/21/2002|23:23:19|Thank you|Colleen GAGNON|As a teacher of Mathematics%2C I have really enjoyed your web page and just wanted to thank you%2C for interesting problems and challenge the mind. M||537||0 174|0|alexb|01/29/2002|14:51:49|Tongpoo|Draggable vertices in applets|I have a suggestion for improvement that may be not too difficult to implement. My suggestion for CTK demo applets is to have a 9x9 draggable area pe||598||1 176|0|matt browne|02/03/2002|08:06:12|matt browne|amazing site|i just got finished perusing cut-the-knot.com and to say the least i was very impressed. i am a math major %40 san diego state%2C and i also work for ||541||0 178|0|Laurie Yourk|02/09/2002|14:44:29|Laurie Yourk|good site|This may seem trivial%2C but I thought you may enjoy a short note letting you know how much I have enjoyed your site. I found it while looking for id||693||0 179|0|melinda|02/09/2002|19:35:46|melinda|great site|%7D%3Ci%27m 14 and am not really the one for skool sites but this site rocks%21 anyone who dises this site is a dumb a%2A%2A%2C i mean it has somthing||660||0 180|2|Azrael|02/17/2002|14:56:24|rupi kaur|love|what is the probability of finding true love on the internet%3F ||831||2 182|0|cdl|03/04/2002|17:19:33|cdl|Representing Numbers|Until I ran into your site%2C I thought my desire to represent all numbers as a function of four 7%27s was a unique defect. I%27ve got a program that||641||0 185|0|Robyn |03/05/2002|11:06:50|Robyn |hello|hey i am a Canadian girl who is at school and i found this site. This math site is a very good site for us grade 7ers %0D%0AThanx CANADA RULZ %0D%0A ||662||0 187|4|Krishneel|03/12/2002|22:20:17|Krishneel|Browser|Hi %0D%0AI liked your site when I first loged on. it would be quite nice if you if you could please mail me some of your challenging puzzles as i take||621||0 188|0|Grundulum|03/14/2002|01:32:59|Grundulum|The not-so-dumb Alice| Perhaps Alice %28of Wonderland fame%29 isn%27t so dumb after all.%0D%0A%0D%0A %22Let me see%3A four times five is twelve%2C and four times six is t||678||0 190|0|Miroslav Kolar|03/14/2002|23:26:42|Miroslav Kolar|Tower of Hanoi|And there are two more links %28%23 2 and 3%29%0D%0Ato be updated to%0D%0Ahttp%3A%2F%2FHanoiTower.mkolar.org%2FHTonWebE.html%0D%0Aand%0D%0Ahttp%3A%2F%||657||0 191|4|aishwarya1|03/15/2002|11:30:57|aishwarya1|where do i find such problems|hi %0D%0ACTK i am really hooked to ur site %2C thanks for putting up such a splendid site %2C i am 23 and preparing for an MBA entrance exam which has||1877||0 198|2|alexb|04/08/2002|09:54:28|Bill Thomas |Please tell me more.|Please tell me more about the Chinese Remainder Theorm. I%27ve heard of it but don%27t know what it is. %0D%0A%0D%0ASounds interesting. %0D%0A%0D%0ABi||469||1 202|3|alexb|04/27/2002|14:10:55|lindsay|i need some help|HOW DO YOU SOVLE THIS PROBLEM%3F %0D%0A%0D%0AA1XYZ%2BA2XY%2BA3XZ%2BA4YZ%2BA5X%2BA6Y%2BA7Z%2BA8 %3D 0 %0D%0A%0D%0ASOME ONE PLEASSSE HELP ME WITH THIS%0||497||1 203|0|alexb|04/29/2002|06:21:09|acooper|Tarski-Banach Decompositions|Hello Alex%2C%0D%0AI was led to your decompositions page from your article in the MathForum newsletter on estimating Pi%2C and as usual with your work||482||1 206|0|JB|06/06/2002|22:30:43|shengTChu|new notations for logrithmics|I recommend to replace logrithmic notation by a pair simpler%2C Boolean Notations. This notations show clearly that logrithmic operation is the invers||438||1 68|0|EMILY|06/07/2002|20:02:48|Krystal.Lawson (Guest)|3glasspuzzles|It was pretty good cause i solved it%0D%0A||1143|5.49388753056235|4 208|0|Maggie|07/11/2002|11:38:28|emcull|Happy Fathers Day|Great Site%3A I have a small problem%3A What is the probability that my Wife will ever talk to me again%3F%0D%0AI was reading some of the site informa||364||1 213|0|alexb|07/17/2002|21:56:06|Brian Dekok|3 Glass Puzzle|0 0 11%0D%0A0 8 3%0D%0A3 5 3%0D%0A0 5 6%0D%0A3 2 6%0D%0A0 2 9%0D%0A||303||2 214|0|Tetch|07/21/2002|07:20:16|Kausik|Almost every integer has a digit 3|In the range of one or two digit number %280-99%29 there are 20 3%27s%0D%0A%0D%0A3%2C13%2C23%2C30%2C31%2C32%2C33%2C34%2C35%2C36%2C37%2C38%2C39%2C43%2C||394||5 201|0|alexb|08/17/2002|11:54:09|Kathy Howe|Chemistry and Math|I have to agree with the chemist who posted in response to%0D%0Ayour manifesto. I teach chemistry at the high school level%2C%0D%0Aand at every paren||511||3 216|0|Peter and James|08/27/2002|22:31:13|Peter and James|I just love maths puzzles|I%27d just like to say that we think this site is fantastic. We%27ve forwarded it to all our friends. We found it extremely helpful when we were try||228||0 172|0|david|08/29/2002|10:42:23|David Shelly|website|nice exercise of the mind%2C keep up the good work%21||605||2 217|0|Flava|09/03/2002|23:43:53|Flava|Its all about MATHS%21%21%21|Everyone should know a little bit if not most of what maths should be like and what u would expect about maths in general.i have a teacher who takes m||226||0 219|0|alexb|09/08/2002|14:15:32|graham|puzzle|as an all time lover of maths this site is like home i live it%2C i am presently doing A-levels which some of you may find amusing but i and pretty go||245||1 222|5|alexb|10/06/2002|13:46:48|Jim|Towers of Hanoi on Survivor Thailan|The October 3 episode of Survivor%2C Thailand%2C featured an immunity challenge based on a six-foot-high Towers of Hanoi puzzle. The team with the sof||227||1 226|0|jhfsh|11/06/2002|18:12:05|Franky|MATH IS WONDERFUL....the song|math ohhh yeah math.....%0D%0Atwo plus to is 50 and four plus 5 is 9%0D%0Au and me together is like nahhh nahh nah nah nah.%0D%0Amath can be terific s||174||1 228|0|Michelle|11/07/2002|07:35:10|Michelle (Guest)|great site%21|This site is just so great%21 I%27m 14 and it helped me in my project. Keep it up%21%3AD %3AD%0A%0A||132||0 229|0|RicBrad|11/15/2002|10:11:45|RicBrad|Sylvan Adverts|Do you choose which adverts come up in your banners%3F %0A%0ADo you endorse these %22Sylvan%22 people%3F%0A%0AI had a look at their site %28I have a h||147||2 231|0|alexb|11/15/2002|10:14:05|creel (Guest)|A Typographic Mistake|There is a typographic mistake on the page dedicated to the . The subtitle says A Mathematical Droodle . I have looked the word %22Droodle%22 up||169||1 232|0|alexb|11/16/2002|08:06:18|Peter Bloxsom (Guest)|Kline and Lloyd -- salaries|I%27ve been trying to make sense of the Kline v Lloyd argument on your page %22Puzzlist vs. Mathematician%3A A Practical Arithmetic Problem%22.%0A%0AI||177||1 233|0|ecoist|11/18/2002|23:17:03|ecoist|math card trick|Slight error in Eric Shrader%27s card trick. The secret card%0Awill be at positions 13%2C 14%2C or 15%2C dependending on the card%0Aselected%2C not p||215||3 234|0|Wired Starrion|11/21/2002|09:23:39|Wired Starrion (Guest)|Wine in bulk|Concerning number 10 in the list on%0A%0Ahttp%3A%2F%2Fwww.cut-the-knot.com%2Fmanifesto%2Ftestimonials.shtml%2C%0A%0AI would note the possibility that ||142||0 235|0|Claire|12/02/2002|16:49:57|Claire (Guest)|Great site%21|This is a great site. I%27m just starting Uni and I%27ve found it a great help%21 Thank you sooooooo much%21%21%21 Claire x0%29||121||0 236|0|Chris Wright|12/03/2002|16:01:34|Chris Wright|How Can This Be True|On the cut the knot site ther is a puzzule called how this be true that is a dissection of a triangle. the attached file should illustrate to you why ||150||0 238|0|abby|12/10/2002|21:54:56|abby (Guest)|hi|i like it its cool||148||0 239|0|CIOCMC@GIP.GK|12/20/2002|10:28:41|tom (Guest)|smart people suck|hi my names tom and i just wanted to tell ya%27ll that i hate math and i couldnt think of ne thing so boring......%0A%0A%0Aok%0A%0Athanks%0Atom||182||2 245|0|hasnor|01/03/2003|14:27:41|hasnor|Question and Comment|Hi%2C %0A%0AGreat site you have here%21 If it may delight you to to know the joy of mathematical discovery you have lead others to%2C let it be known ||195||0 244|0|Cino Hilliard|01/04/2003|23:11:18|Khasan (Guest)|Hanoi|I was born in Hanoi.%0AWant to know why they call this HANOI%3F%0AAny story behind the name.||167||1 246|0|alexb|01/06/2003|15:23:18|ibpht|Ford%27s touching circles|I couldn%27t find anything telling me the correct procedure for reporting errors on this site%2C so I am doing so here.%0A%0ADiscovered a small typo i||180||1 220|0|Jack Wert|01/07/2003|22:42:53|Jim Bell|Puzzlist vs. Mathematician|Pardon me in advance for the intrusion and disagreement about the Kline salary problem.%0D%0A%0D%0APerhaps there is a prepared response which is sent ||434||5 248|0|Shauna & Ryan|01/08/2003|19:38:18|Shauna & Ryan (Guest)|Math%21|Well Well Well ... this site is definatly BAD%21%21%21%21 now let me see ... nothing worth reading ... waste of time ... horribly written .. who is yo||180||0 249|0|Tina|01/10/2003|19:35:08|Tina (Guest)|wordy|this site is too wordy...as a result it dissolves the interest of the reader...%0Ano doubt the collection to vast and very informative...but it is not||192||0 250|2|alexb|01/23/2003|00:34:46|P. J. Zell (Guest)|Zell%27s Theorem|Theorem%3A Bisection of arbitrary angles is impossible%0AProof%3A Trisection of arbitrary angles has been proved to be impossible because the 20 d|on|683||15 252|0|LSB|02/13/2003|09:41:22|Jethro (Guest)|Great site|I would just like to say that your website is really very good. I think it is wonderful that you include things which rarely are mentioned elsewhere %||203||3 256|5|alexb|03/06/2003|01:15:51|Frank Anzalone (Guest)|archive says feb instead of march|http%3A%2F%2Fwww.cut-the-knot.com%2Fchanges.shtml%0AChronology of Updates thinks it%27s feb.%0AAuthor rejects all e-mail.%0ACan%27t tell him.||143||1 260|0|kelsey |06/25/2003|11:49:16|Aram Matevosov (Guest)|Great website|Hello%2C%0AThank you for this website. It has lots of historical facts to learn%2C and %2C also%2C this site has lots of helpful information that help||139||2 254|0|lil_angel58|06/26/2003|09:37:30|Tony (Guest)|Unreliable unreliable witness|I don%27t entirely agree with the solution to the Unreliable Witness problem in the probability section. But before explaining why%2C I%27d just like||268||4 264|0|alexb|06/27/2003|10:05:55|big_paws|Does this site use cookies%3F|When you ask if we want our password in the computer does that mean that you put an immature cookie in the computer%3F ||154||1 265|0|alexb|06/27/2003|19:50:44|Mario Bourgoin (Guest)|sqrt%282%29%5Esqrt%282%29 is transcendental|Dear Professor Bogomolny%2C%0A%0AIn your web page%3A%0A%0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2Fdo_you_know%2Firrat.shtml%0A%0Atitled %22Irrational numb||160||1 263|0|ctownend|07/12/2003|22:11:48|ken (Guest)|geometry|Abstract%3A%0A%0AAny shape that has 5 or more angles will have at least 1 angle more than 100 degrees.%0A%0A%0AExplanation%3A%0A%0AAny shape that has ||158||1 268|0|Joe|07/14/2003|18:26:50|Joe (Guest)|This website is great|I think this website has a lot of interesting math topics%2C and I rarely find good websites like this. Keep up the good work%21||114||0