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December 25

Can a soma cube die be unique?

If I assemble a soma cube into a 3*3*3 cube and them mark each face with dots as a standard die (Thus "1" marks {2,2), "6" marks (1,1) (1,2) (1,3) (3,1) (3,2) (3,3) etc) and then take it apart. (A) Is it now easier (whatever that means) to put together again and (B) How would I prove if the soma die assembly is unique or not? -- SGBailey (talk) 09:18, 25 December 2018 (UTC)[reply]

This problem is small enough you can program a computer to test every single possible marking, writing the program will probably take far longer than it working out the result. Dmcq (talk) 21:50, 25 December 2018 (UTC)[reply]

I don't fully understand your marking system, but it should make it easier to put it together again in that configuration. Bubba73 ^{You talkin' to me?} 01:26, 26 December 2018 (UTC)[reply]