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

Home > Numbers
Squares on Cubes (Posted on 2008-04-30) Difficulty: 3 of 5
I applied one of the digits 1 through 9 to each cell of the provided net of a cube.
My object was to create a unique 4 digit square number on each face. At the same time I required each vertex to be a 3 digit square. I failed in that objective!
I have 6 unique 4 digit squares but I have duplicated just one of my vertices.

To emulate my "feat":
- a [Magenta] Magenta cell is both the first digit of a 3 and 4 digit square
- an [Orange] Orange cell signifies the first digit of only a 4 digit square, while
- a [Cyan] Cyan cell signifies the first cell only of a 3 digit square.

The digits must be applied to each face by rotation, the direction is defined by need. "A" through "F" represent the 6 faces of the cube while "a" through "h" represent the vertices of the cube when fully assembled.
Note: Within the range allowed several squares utilise the same digits, and this is allowed by virtue of the commencement cell.
But then, there is still the challenge for 6 unique faces and 8 unique vertices.

See The Solution Submitted by brianjn    
Rating: 3.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Image and solutionbrianjn2008-05-06 20:27:30
re: Charlie and ed bottemillerbrianjn2008-05-03 11:12:41
Charlie and ed bottemillerbrianjn2008-05-03 10:55:48
re: better classification of resultsCharlie2008-05-03 10:21:36
re: better classification of resultsCharlie2008-05-03 10:05:25
Solutionbetter classification of resultsCharlie2008-05-03 10:03:13
re(2): Computer solutionsCharlie2008-05-02 17:36:42
Solutionre: Computer solutionsCharlie2008-05-02 17:23:07
SolutionComputer solutionsCharlie2008-05-02 17:10:57
Back on Track?ed bottemiller2008-05-02 10:35:05
re: Biggest problem I see!brianjn2008-05-02 02:13:45
QuestionBiggest problem I see!Charlie2008-05-02 00:50:53
re(5): Clarifications??brianjn2008-05-01 20:42:04
re(4): Clarifications??ed bottemiller2008-05-01 12:45:22
re: Thanks! and an apologybrianjn2008-04-30 22:25:47
Thanks!ed bottemiller2008-04-30 21:52:09
Interpretations?ed bottemiller2008-04-30 21:40:34
re(3): Clarifications??brianjn2008-04-30 20:44:52
re(2): Clarifications??ed bottemiller2008-04-30 16:48:48
re: Clarifications??Charlie2008-04-30 15:37:46
Clarifications??ed bottemiller2008-04-30 11:27:19
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 (10)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2019 by Animus Pactum Consulting. All rights reserved. Privacy Information