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shim's Royal Pyraminx (Timur Evbatyrov)
I'm proud to announce that Professor Pyraminx is not the highest order Pyraminx ever built anymore. Please meet my Royal Pyraminx with 6 turning layers.
Having 5 different cuts, this is the most complicated design I have ever created. I mean not only the mechanism, but also the cuts pattern - there are 25 points on each face where four spherical su**ces exactly intersect each other (these are either 3 cuts and 1 face su**ce, or 2 cuts and 2 faces). But the mechanism itself is not unbeleivably complex - beside 86 outer (stickered) pieces, there are only 12 internal (invisible) pieces.
Because the pillowness degree of Professor Pyraminx was not enough to let all the pieces stay in place when the layers are being turned, Royal Pyraminx has to be more pillowed. Still it is slightly less pillowed than a Releaux Tetrahedron.
store: http://www.shapeways.com/shops/pequenos
As you can see on the video, the turning is very nice (at least for such a high order puzzle):
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