I’ll add some words: it’s impossible to make the one with four colours symmetric.
…in a plane? Looks like power sets and hypercubes, so the n-th one can be projected symmetrically into (n-1)-space.
It’s interesting that some people looked at this and saw cubes in various dimensions. My first impression was a tree with each branch asking, “Which color should I eliminate?”
Great observations so far! Anyone, please feel free to add more observations, no matter how small.
1 (omitted—it would be an empty box, I suppose)
1 2 1
1 3 3 1
1 4 6 4 1
Combinations and binomial coefficients spring to mind.
Looks pretty neat!
Made with diagrams (http://byorgey.wordpress.com/2011/05/17/announcing-diagrams-preview-release/)?
Yes! You can find the code used to produce this diagram here:
Awesome! I really like diagrams, not only because I was searching a way to build nice drawings, but also because it is a nice piece of code to learn how to make a DSL in Haskell. Thank you and all the contributors!
Cool, glad you like it! Let me know if you have any questions.
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