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

 Cubic Diagonals and Edges (Posted on 2009-04-30)
This is the net map of the outer surfaces of the 20 edge cubes that represents
a 3 x 3 x 3 'parent' cube (like in a Rubik cube).

 A B C D E F G H
 A D F I J M N O
 F G H J K O P Q
 H E C K L Q R S
 C B A L I S T M
 O P Q N R M T S

Assign unique values from 1 to 20 to the letters A-T such that the sum of each pair of diametrically opposite cubes is to be the same as all others while the sum of each set of edge cubes may not differ from that of any other set by more than one.

```Eg, diagonals:
A + Q = N + E = C + O ...(etc)
and edge cubes:     A + B + C = C + E + H = F + G + H ...etc,
or (A + B + C) ±1 = C + E + H
= F + G + H ....(etc) ```
Note: The problem's development and my solution used a spreadsheet; as such a well-constructed sheet could enable a solution. Although this problem may lend itself to a programmed solution I would appreciate seeing attempts of a more manual basis within the first 24-48 hrs.

 See The Solution Submitted by brianjn No Rating

 Subject Author Date re(2): computer solutions Charlie 2009-05-03 12:13:31 re: computer solutions brianjn 2009-05-03 10:31:15 re: computer solutions--the program Charlie 2009-05-01 12:02:43 computer solutions Charlie 2009-05-01 11:59:18 Restraint brianjn 2009-05-01 10:09:41

 Search: Search body:
Forums (0)