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Brammed Block
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Two turns of order 3 and 4 respectively in a doctrinaire puzzle.

Brammed Block is a puzzle that has the geometry of Bram's Sphere, discovered by Bram Cohen. Several people have made implementations that rather obfuscate the underlying geometry, like Timur Evbatyrov's Bygride-3-4 or Carl Hoff's TriQuad. This version was made to aid the understanding of the geometry by keeping the shape as close as possible to a face turning cubic puzzle.
Edge length: 72 mm (square)
Weight: 210 grams

The puzzle has 1317834474769612800000 = 1.32*10^21 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 wings allow only even permutations.
-The orientation of the last corner is determined by the other four.
-The orientation of the square and the permutations of edges, X-faces and corners must all be odd or even at the same time.
Stickered as shown here the puzzle has 4575814148505600000 = 4.58 *10^18 permutations.



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