A doctrinaire puzzle with two axes with 3-fold rotation and octagonal pieces.

• Inventor: Wong Chong Wen
• Mechanism: Doctrinaire puzzle with limited axis system
• Patents: Unknown
• Producer: 3D printing service
• Year: 2022
• Original Price: $0.00 USD
• Current Price: No Data

The Traoctrix is a puzzle that was proposed in 2015 by Bram Cohen in the forum. Its name is derived from the Trapentrix by Timur Evbatyrov, and shares many similarities, in that it has only two axes of rotation, each capable of 120� turns. Both puzzles do not change their shapes or jumble. Despite the age of the original idea it has not been implemented until 2022.
The puzzle turned out quite compact and the turning is excellent.
Edge length (octagons): 20 mm

The puzzle has 3752960881432235681261813760000000 = 3.75*10^33 permutations if all pieces are considered distinguishable.
Due to the limited number of moves it has a huge number of restrictions:
-The corners are extremely restricted:
-They are split into two sets.
-The first three of each set can be freely placed.
-Of one set the fourth corner has 3 positions remaining. Setting this sets all other corners.
-The five large edge-like pieces can't be flipped and always have even permutations.
-The triangles are split into two sets. Both sets have even permutations.
-The octogons have even permutations.
-The orientations of the octagons are multiples of 90°.
-The orientations of the octogons sum up to multiples of 360°.
-The orientations of the octogons come in pairs or in a quartet.
-The orientation of the triangular centers reduce the permutations of the corners by a factor of 3.
-The orientation of the triangular centers reduce the permutations of the octogons by a factor of 3.
Stickered as shown here the puzzle has 136377930311663040000000 = 136 *10^21 permutations.

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