A doctrinaire puzzle with three axes with 2-fold rotation and heptagonal pieces
- Inventor : Ian Henriksen
- Mechanism : Doctrinaire puzzle with limited axis system
- Patents : Unknown
- Producer : Customly 3D printed
- Year : 2024
- Original Price : Unknown USD
- Average Price : Unknown USD
The axis system of this puzzle is similar to Krystian's Twist but with different angles. As a result it shows heptagons and an additional piece type. Compared with the original Heptoid, it also has different cut depths, giving the puzzle the alternative name "Shallow Heptoid".
Like the Heptoid and other related puzzles it has a single sequence of jumbling moves. Image 5 shows the start of this sequence.
The inventor gave it the name because it looks like a flat-topped pyramid.
Diameter (inner): 60 mm
Weight: 158 grams.
The puzzle has 390241927692288000 = 390*10^15 permutations if all pieces are considered distinguishable. Due to the limited number of moves it has a huge number of restrictions:
-The large triangles are not orientable.
-The long pieces (lines) are split into three sets.
-The kites are split into three sets.
-The small triangles are split into three sets.
-The permutations of the lines are always even.
-The permutations of all three sets of kites always have the same parity.
-The permutations of the last three kites is determined by the others.
-The orientation of the last heptagon is determined by the others.
-The orientation of the edges and the permutations of the large triangles have the same parity.
-The orientation of the edges and the permutations of the large triangles have the same parity.
-The orientation of the edges determine the parities of the three sets of lines.
-The orientation of the edges determine the parities of the three sets of kites.
-The orientation of the edges determine the parity of the heptagons.
-The permutation of the large triangle determine the permutation of the third-last kite.
-The permutation of the large triangle determine the permutation of the heptagons.
Stickered as shown here the puzzle has 4608866304000 = 4.61 *10^12 permutations.
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