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Basic Gem
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A truncated triangular dipyramid with three 4-fold and three 2-fold rotations.

This puzzle is the result of an exercise in making the Dayan Gem VI geometry as simple as possible. It succeeds the Junior Gem from the same inventor. He wondered how much further the pattern could be extrapolated. He considers this to be the non-trivial limit.

The geometry consists of three squares and six irregular pentagons (forming an associahedron), or truncated triangular dipyramid. The puzzle makes two types of turns.
1. on the square faces in steps of 90 degrees (image 4)
2. on the three opposing edges in steps of 180 degrees (image 5)

Just like with the original Dayan Gem VI, what we have here is two types of turning per axis of rotation, with one having twice the rotational symmetry of the other.
This puzzle holds itself together fine without screws, although the inventor added them to the square centers to reduce any floppiness. Turning quality on this puzzle is fantastic as usual, although a tad unstable for my liking on the square faces.
It was the first puzzle 2019 presented in the forum.
Edge length: 35 mm (equatorial)
Weight: 61 grams

The puzzle has 341033395418697616588800000 = 341*10^24 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 orientation of the squares and the permutation of the edges bordering the squares have the same parity.
-The orientation of the squares and the permutation of the flippable edges have the same parity.
-The orientation of the flippable edges and the permutation of the corners have the same parity.
Stickered as shown here the puzzle has 10657293606834300518400000 = 10.6 *10^24 permutations.


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