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Efficient test for equivalence of bandaged 4x4x4s ?
Submitted by Andreas Nortmann on Sun, 01/27/2008 - 09:40.I know that bandaged cube (regardless of their size) are often ignored, which gave me my niche to live in...
I tried to write a program to generate all valuable bandagings of a 4x4x4. Here valuable means:
1. No single gluing can be added without restricting at least one turn which was possible before.
2. From every set of equivalent bandagings, which are transformable into each other by turning and/or generating symmetries, at most one is in the final list.
3. No bandagings which could be realized by a 2x2x2 or a 3x3x3.
Only the 108 bondings between the surface cubies are considered.
I tried to write a program to generate all valuable bandagings of a 4x4x4. Here valuable means:
1. No single gluing can be added without restricting at least one turn which was possible before.
2. From every set of equivalent bandagings, which are transformable into each other by turning and/or generating symmetries, at most one is in the final list.
3. No bandagings which could be realized by a 2x2x2 or a 3x3x3.
Only the 108 bondings between the surface cubies are considered.
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