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

Home > Just Math
Spacy colors (Posted on 2006-08-25) Difficulty: 4 of 5
Every point in 3D-space is colored either red, green or blue. Let R (resp. G and B) be the set of distances between red (resp. green and blue) points. Prove that at least one of R, G, or B, consists of all the non-negative real numbers.

See The Solution Submitted by JLo    
Rating: 4.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Solution (Some details required) | Comment 8 of 10 |
(In reply to Solution (Some details required) by Bractals)

Nice one Bractals! There is however a minor gap in your proof, but I am sure you'll repair it easily:

How do you know that the set
sphere(N,b) ^ sphere(M,g) ^ sphere(L,r)
is not empty, in which case you would not arrive at a contradiction?

  Posted by JLo on 2006-08-28 11:02:51

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 (8)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information