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A face turning dodecahedron. The cuts are deeper than in the Pyraminx Crystal.
This is a face turning dodecahedron. This has to be stated since it is not possible to tell just by looking at the solved puzzle. There are at least three other thinkable puzzle which would look identical if solved but have a different axes system.
This puzzle was originally name just Starminx without an additional number. Later other identical looking puzzle were realized so this was renamed "Starminx I".
The first sample was auctioned for 1625 USD.
In 2010 another two versions (with 25 mm and 30 mm edge length) of this puzzle were made by Tom van der Zanden. They were available through shapeways. Shown in image 4.
The puzzle has 288695874172821321990510884511315371379634080616088900725035437706502325786046417604536340030227920977920000000000000000000000000000000000 = 288.7*10^135 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 three restrictions:
-The pentagons allow only even permutations.
-The triangles allow only even permutations.
-The edges allow only even permutations.
-The edges can be oriented only in multiples of 2.
Stickered as shown here the puzzle has 1326250536851201837345812073473731878811212847953250300194623766491746861483381761531054338867200000000000 = 1.32 *10^105 permutations.
Thank you to the following people for their assistance in helping collect the information on this page: Andreas Nortmann.
This puzzle can be found in collections of these members:
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