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A face turning chamfered cube. A fudged puzzle.
Fudgidron was suggested by Andreas Nortmann. Its shape is a chamfered cube and the chamfer faces have been fudged into a regular hexagon. Its closest relative is the Fudgedron, which is based on the geometry of a truncated octahedron.
The main challenge of this design are the edges, which would jiggle loosely in the big gaps between adjacent hexagonal faces. The solution was to give each edge a centerboard that slides through grooves in the spherical core.
The puzzle has 632942399224569312675329497415174436997881679601293504765583283619697676265387460315449238137292429344486672167902537318400000000000000000 = 633*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 these restrictions:
-The orientation of the last corner is determined by the others.
-The orientation of the last edge is determined by the others.
-The orientation of the square and hexagonal faces must be of the same parity.
-If the orientations of the faces are odd the permutations of corners and edges must be odd too.
Stickered as shown here the puzzle has 141977404336752085213884577920313086859490169010549658431177182570141227932565656788365701029478042868436172800000000000000000 = 142*10^123 permutations.
Edge length: 23 mm
Weight: 188 grams
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