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

Home > Shapes > Geometry
Balls in Space (Posted on 2005-12-09) Difficulty: 4 of 5
What is the maximum proportion of space that can be filled with an infinite number of identical spheres?

No Solution Yet Submitted by Andre    
Rating: 4.4000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution (on a technicality) Comment 12 of 12 |
I just thought of something. The answer is zero. The definition of a sphere is (correct me if I'm wrong) the set of points in a three-dimentional space that are equidistant to a single point (the center of the sphere). So, spheres don't actually fill any space; they define spherical regions. This is just a technicality, and if you replaced the word "spheres" with "spherical regions" you would probably have the problem Andre intended.
  Posted by hal on 2007-04-20 01:39:56
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 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information