Optimal Solutions
The maximum number of twists required to solve the Pyraminx is 11. There are 933,120 different positions (disregarding rotation of the trivial tips), a number that is sufficiently small to allow a computer search for optimal solutions. The table below summarizes the result of such a search, stating the number p of positions that require n twists to solve the Pyraminx:
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n 0 1 2 3 4 5 6 7 8 9 10 11 p 1 8 48 288 1728 9896 51808 220111 480467 166276 2457 32
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