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Shaped as the Trapentrix but with only one of its turns, the other being an edge turn.
The Trapen-Kryst is a hybrid biaxe, which is inspired as its name suggests by the Trapentrix and the Krystian’s Twist. See the separate entries.
From each of them the new design takes a type of cut, so one can find a deep cut as in the Krystian’s Twist and a cut deeper than the origin as in the Trapentrix. The cuts on the green side are not functional. Instead the green side represents only single piece.
It uses the same shape as Trapentrix and is a doctrinaire puzzle, with one axis with 3-fold rotation and the other with 2-fold rotation and pentagonal pieces.
Printed in PETG plastic
Edge length: 50 mm
Weight: 97 grams
The puzzle has 18144000 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 long triangle allow only even permutations.
-The small triangles are split into two sets.
-The permutation of the second subset of small triangles is determined by the first.
-In the permutation of the second subset of small triangles the first two pieces determine the position of the third.
-In the permutation of the second subset of small triangles the last three pieces are determined by the first four.
-The orientation of two edges determine the orientation of the third.
-The orientation of two pentagons determine the orientation of the third.
-The permutations of the equilateral triangles, the orientations of edges and the permutations of pentagons have to be of the same parity.
-The permutations of the equilateral triangles, edges and pentagons have to be of the same order mod 3.
Stickered as shown here the puzzle has 362880 permutations.
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Trapen-Kryst
