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A Pyraminx with the four tips connected to make them nontrivial.
Nontrivial Pyraminx is an attempt to make the Pyraminx a more difficult puzzle. Its tips are not trivially independent, but internally connected so that they can only turn together. Two of the tips are "fast" and the other two are "slow". Any tip can be turned, but the fast tips would turn 2 times faster that the slow ones.
This alone wouldn't be a challenge. Therefore the inventor introduces an additional rule: One must always turn a tip together with the middle layer. Without this it would be as easy as the Pyraminx.
Idea of this puzzle was suggested by Evgeniy Grigoriev. He actually wanted that all 4 tips were turning with all different speeds, and that the tips were put into motion by the edges (thus the illegal moves problem would be avoided), but it was too much of a challenge for the inventor.
Edge length: 100 mm
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