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

This is another step into the worlds of irregular geometry. Inspired by his own creation, the biaxe, the creator designed this puzzle to make the predecessor a bit easier.
This puzzle does not jumble, does not change its shape and is not fudged.
Compared with biaxe and Constellation six the two possible rotations works with steps of 3.
The puzzle's name refers to the shape which consists of TRAPezia, PENTagons and TRIangles. The name of the puzzles shape is unknown but it was derived of the shape of the biaxe by cutting the tips.

The puzzle has 68584320000 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 pentagons allow only even permutations.
-The first three pentagons determine the orientation of the fourth.
-The triangles (which fall into two subsets) are restricted by a factor of 172800
-The edges allow only even permutations.
-The orientation of the second face (aka unmovable triangle) determines the permutations of the last three triangles and last three pentagons. (Factor=9)
Stickered as shown here the puzzle has 548674560 permutations.

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Contributors

Thank you to the following people for their assistance in helping collect the information on this page: Andreas Nortmann, Lawrence Cuthbert.

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