Combinatorics can be a bit weird sometimes: the number of ways to arrange N Tetris pieces into a 2-by-2N rectangle is the Nth Fibonacci number squared.
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Combinatorics can be a bit weird sometimes: the number of ways to arrange N Tetris pieces into a 2-by-2N rectangle is the Nth Fibonacci number squared. -
The 19 ways to split a 2x2x2 cube into 2 equal tetracubes.@tikitu There are 3 variants, one with 3 orientations (the “pancakes”), one with 4 orientations (the “y”) and one with 12 orientations (the “snakes”, actually 6 for each mirror image), for a total of 19.
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The 19 ways to split a 2x2x2 cube into 2 equal tetracubes.The 19 ways to split a 2x2x2 cube into 2 equal tetracubes.