All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes > Geometry
Painted Sphere (Posted on 2007-02-13) Difficulty: 3 of 5
A sphere is painted black and white. Show that there are 3 equidistant points of the same color.

No Solution Yet Submitted by Art M    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Solution | Comment 7 of 9 |
(In reply to Solution by Joel)

How about this painting of the icosahedron.

Let vertex A be white and each a1,a2,a3,a4,a5 be black.

Let the five unpainted vertices adjacent to these five black vertices be painted white and the last vertex be painted black.

Which three of these are painted the same color?


  Posted by Bractals on 2007-02-14 13:16:25
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2014 by Animus Pactum Consulting. All rights reserved. Privacy Information