The Biaxe with an additional slice turn.

• Inventor: Michael Montgomery
• Mechanism: Unique
• Patents: Unknown
• Producer: Customly 3D printed
• Year: 2023
• Original Price: $0.00 USD
• Current Price: No Data

This puzzle reimplements the Biaxe but adds another turn, splitting the puzzle in two. This turn completely changes the puzzle. The fourfold tips are split into two times four pieces which now are permutable not only orientable. It also make classifying the puzzle extremely complicated. The Biaxe is a doctrinaire puzzle with fractional angles. The additional slice technically makes the puzzle non-doctrinaire but has still so few turns that it being non-doctrinaire hardly make a different.
#The puzzle has 398694673350689127928144406249472000000000000000 = 399*10^45 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 some restrictions:
-The permutation of the triangles is always even.
-The permutation of the edge triangles is always even.
-The orientation of the last pentagon is determined by the other five.
-The permutation of the kites and the pentagons always have the same parity.
Stickered as shown here the puzzle has 92723638484994749155123200000000 = 92.7 *10^30 permutations.

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