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

Home > Shapes
A fly on a cube (Posted on 2002-04-23) Difficulty: 2 of 5
Consider the cube shown (assume for argument's sake that it's a perfect cube, contraty to what the picture may look like).

A fly, sitting in the vertex (A) of this cube must travel the surface of the cube until it arrives at the vertex (G).

If the fly cannot leave the surface of the cube, what is the shortest path for the fly to take between the two points?

See The Solution Submitted by levik    
Rating: 3.3636 (11 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution no math needed | Comment 12 of 15 |
a straight line from A to G goes through the center of the cube. the fly should then stay as close as possible to the center of the cube. so the fly should avoid any other vertices since D or E for example are farther from the center than the midpoint of the line segment DE.

the fly should cross the midpoint of one of the edges between A and G, such as DE, and then proceed happily to G.
  Posted by rixar on 2004-06-07 22:15:42
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 (14)
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