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A solution for the coloured cubes problem

✍ Scribed by J.M. Basart; P. Guitart


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
290 KB
Volume
225
Category
Article
ISSN
0304-3975

No coin nor oath required. For personal study only.

✦ Synopsis


Let C be any set of q cubes in which every face in each one of them has to be coloured using one colour in a set K of q colours. It is asked how to raise, if it is possible, a pile with the q cubes in such a way that every colour will appear once in every one of the four faces of the pile. The case q = 4 was solved long time ago. Now, an answer is presented for the general case by means of an efficient algorithm. This method is based on a particular linear program which always produces integer solutions.


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