CTK Exchange
Front Page
Movie shortcuts
Personal info
Reciprocal links
Terms of use
Privacy Policy

Interactive Activities

Cut The Knot!
MSET99 Talk
Games & Puzzles
Eye Opener
Analog Gadgets
Inventor's Paradox
Did you know?...
Math as Language
Things Impossible
My Logo
Math Poll
Other Math sit's
Guest book
News sit's

Recommend this site

Manifesto: what CTK is about Search CTK Buying a book is a commitment to learning Table of content Products to download and subscription Things you can find on CTK Chronology of updates Email to Cut The Knot Recommend this page

CTK Exchange

Subject: "Coaxial Polygons of the same area"     Previous Topic | Next Topic
Printer-friendly copy     Email this topic to a friend    
Conferences The CTK Exchange College math Topic #605
Reading Topic #605
Kenneth Ramsey
Feb-26-07, 12:26 PM (EST)
"Coaxial Polygons of the same area"
   If a coaxial regular n+1 sided polygon overlies a regular n-sided polygon of the same area, would a rotation of one about its center change the area that is covered?

  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top
Charter Member
1967 posts
Feb-26-07, 01:08 PM (EST)
Click to EMail alexb Click to send private message to alexb Click to view user profileClick to add this user to your buddy list  
1. "RE: Coaxial Polygons of the same area"
In response to message #0
   I'd be surprised if it would not. I imagine that calculations for a triangle and a square are straightforward in at least two cases

1. The axis of the triangle coincides with the midside-midside axis of the square,

2. The axis of the triangle coincides with the diagonal of the square.

Are the areas different in the two cases?

Or do you have a clever insight?

  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top

Conferences | Forums | Topics | Previous Topic | Next Topic

You may be curious to have a look at the old CTK Exchange archive.
Please do not post there.

Copyright © 1996-2018 Alexander Bogomolny