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

Home > Shapes
Prince Rupert's Tetrahedron (Posted on 2013-07-21) Difficulty: 3 of 5
Can you find a tetrahedron T contained inside a tetrahedron W such that the sum of the lengths of the edges of T is bigger than the sum of the lengths of the edges of W?

No Solution Yet Submitted by Danish Ahmed Khan    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
2-d solution Comment 1 of 1
I don't see how this is possible for tetrahedra, it certainly is not possible for triangles:

A triangle T contained in triangle W can be enlarged/rotated so that its 3 vertices lie on the sides of W.  The triangle inequality assures that the perimeter if T is smaller than that of W.





  Posted by Jer on 2013-07-27 14:36:39
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 (5)
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