The fractured Compino in shape of a truncated triakis tetrahedron.

• Inventor: Alasdair Paton
• Mechanism: Doctrinaire axis system with fractional angles (corner turning hexahedron)
• Patents: Unknown
• Producer: Customly 3D printed
• Year: 2022
• Original Price: $0.00 USD
• Current Price: No Data

Fracture 16 is a truncated triakis tetrahedron with 8 axes of rotation arranged at the 8 vertices of a cube, similar to a Dino Cube. Unlike the Dino Cube, the 4 hexagonal faces have 6-fold symmetry rather than only 3. The other 4 vertex turns, however, still have 3-fold symmetry.
This puzzle already exists as a cubic shape variant called "Fractured Compino", which is where this gets the name from.
It is printed in ABS material, vapor smoothed with acetone and stickered by Jason Gavril.
Edge length: 17 mm
Weight: 50 grams

The puzzle has 10102791017034666032006457884502469024048742400000000 = 10.1*10^51 permutations if all pieces are considered distinguishable and their orientations visible.
Compared with the number available if the puzzle can be disassembled and reassembled there are these restrictions:
-The orientations of the hexagons and the permutations of edges and triangles always have the same parity. (factor 4)
Stickered as shown here the puzzle has 75186761565103765027292383233001390080000 = 75.2*10^39 permutations.

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