I just finished building another puzzle to add to the growing number of puzzles inspired by the geometry of the Triakis Tetrahedron.

The Alphaminx takes the 14-armed spider mechanism of the Concept 11 puzzle/DaYan Gem III and puts it inside a Truncated Triakis Tetrahedron solid.



It can be turned in three different places: the four hexagonal faces, the four vertices where the pentagons meet, and the six edges where the pentagons meet.




Mechanism:



The Alphaminx is part of a series that I thought up a while back, which I have only now begun to pursue. To further the series, similar cut patterns would be applied to Truncated Tetrakis Hexahedron, Truncated Triakis Octahedron, and other truncated Kleetope geometries. Those puzzles would be named Betaminx, Gammaminx, and so on.



Video: http://www.youtube.com/watch?v=iU55VwtwigU

WOW! The first Face-Corner-Edge turning and Jumbling puzzle!!!

magnifique!

This is nice, truly amazing. Is this really the first face/corner/edge turning combo puzzle?

Perfect job

This is awesome.
Now there are three puzzles in shape of the truncated triakis tetrahedron and one non-truncated. Weird!
Did you design the puzzles from scratch? You didn't use an existing core?

Now. Can anybody please implement the Betaminx as fudged puzzle with six axis and 45°-moves?
Naah. That would be to close to the "Jewel 45".UltraX combines all three axis system too. Alphaminx combines just (?) two.

Extremely Beautiful! I love it!

Well I don't think this puzzle can be jumbled if it is the same mechanism with GEM III. May be just shape changing? Tell me if I'm wrong.

It was designed and cast independently from any other puzzles. The only non-cast component is the 14-armed core, which is printed in WSF.
The only reason it appears to jumble is because the square, "edge turning" faces can be turned 90° instead of the expected 180, causing the pieces from the Truncated Triakis Tetrahedron's vertices and faces to intermix. That would be a normal, non-shapeshifting move on the Gem III.

I can't believe my eyes! This is a refreshing concept and beautiful puzzle!
I'd love to solve this one too. Now you have to make a black one.

The black one is definitely coming.
Solving wise, I've almost finished it. I'm having a problem that almost appears to be a parity error where three corner pieces are cycled in such a way that I haven't been able to solve them. It's most likely caused by an incorrect permutation of the indistinguishable pieces on the hexagonal faces.

I put together a visualization of what the Betaminx (Truncated Tetrakis Hexahedron) would look like. It looks very similar to the Alphaminx, but truly is edge, face, and vertex turning, with 26 axis.

I like the idea behind this series, and I await the Betaminx being realized in physical form(I think it looks more aesthetically pleasing from the render).

Are there enough Truncated Kleetopes to go all the way to the Omegaminx?

There are five based on each platonic solid. Those are the rather "simple" kind. Beyond those, however, I don't know if any more can be made. I tried to render a Truncated Disdyakis Dodecahedron version (the Rhombic Dodecahedron's Kleetope), but I think that in order for it to have the same cut pattern as the rest of the series and still be functional, it might require fudging. Or it could be that I didn't construct the solid properly; there's really no rules as to how far the solids should be truncated.