The dodecahedral cousin of the Oblique Turning Cube V3

• Inventor: Justin Costa
• Mechanism: Turns possible only in midturn
• Patents: Unknown
• Producer: Customly 3D printed
• Year: 2019
• Original Price: $0.00 USD
• Current Price: No Data

The inventor wanted to transform the Oblique Turning Cube V3 into something dodecahedral. The result is a Pentultimate but with additional turns possible when the faces are placed by 36� instead of the full 72�. The circles that can be turned in these states are split into six segments and therefore allow for 60� turns.

The puzzle has 276799725914051767537180436935183859914456635811546833507112892827117896550772192253314548740712485230641302911760603418349536054946865637688243791094783431585939412694900343445594350325073168424532210072969219176603895832648310633759832553401799041440570191211254231657120441962699886813354133033876881816944640000000000000000000000000000000000000000000000000000000000000 = 277*10^369 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 last corners is determined by the other nineteen.
-The permutations of corners are always even.
-The permutations of faces are always even.
Stickered as shown here the puzzle has 1599560776229327185691001168959445845280134590952541638563409498173942794338123469306533945385444353942708634103611276355187159445480268167302795764091985498682959931518807935528676969379281836936823466341146903449830839321320946554551067677477048982507652925070648343883939840000000000000 = 160*10^288 permutations.

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