Actually, we should split the difference and go with 27.
Spoiler for missed symmetry
Good one, Prime! Those two are in fact the same. The drawing certainly helps to see it.
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Best Answer Prime, 15 March 2013 - 02:31 PM
Actually, we should split the difference and go with 27.
[attachment=3374:colorcube2.gif]
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Posted 15 March 2013 - 02:50 PM
Actually, we should split the difference and go with 27.
Spoiler for missed symmetryThe variation 4 on the diagram in my previous post should have 8 arrangements.
K-man's zig-zag (5) should have 4, instead of 6 variations.
There are 2 different 3-side zig-zags, and each has 2 (not 3) arrangements with the 4th disjointed side.
Good one, Prime! Those two are in fact the same. The drawing certainly helps to see it.
Posted 18 March 2013 - 04:53 AM
Someone posed this problem to me, and I tried several ways to count cases and finally gave up.
This prize is a cooperative sharing of k-man and Prime, but I can mark only one post.
So I marked the post that got the final count.
Good job both!
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