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

Home > Numbers
Verticos (Posted on 2010-11-27) Difficulty: 4 of 5
Below is the net of an icosahedron.

The vertices are assigned the blue labels, v[n]; note the 'wraparound' and absence of 'v1'and 'v12' where the graphic would otherwise appear cluttered.

By assigning values from 1 to 20 to each of the capital letters A through T determine a layout whereby the vertex sums are either 52 or 53 in equal number; let A=1.

Note that a 'vertex sum' is the total of the values assigned to the faces which converge at a given vertex.

Can values be assigned such that the vertex sums can form an arithmetical progression?

No Solution Yet Submitted by brianjn    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
There are no comments yet.
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information