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Master Rex Cube
Above:Solved
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A corner turning hexahedron with 7 types of pieces. All cuts still intersect at the corners.

The name fits perfectly because, like the Rex cube, all of the cuts are curvy and all of the cuts still intersect at the corners.
For a while the inventor thought this puzzle was not possible. This is because of the way that the cuts work. If the cuts were too shallow, it would over-complicate the mechanism and make it very unstable. However, if the cuts were too deep, the mechanism on the edge pieces would disappear. Trying to fit not-too-shallow and not-too-deep cuts in a proportional puzzle proved extremely difficult to get right. The inventor then decided to make it half-proportional instead, which makes it work out much better. (I still think it looks very nice despite this)
Even though it was possible to do it this way, there are still 18 pieces that end up meeting at EVERY vertex. Despite this the puzzle actually turns pretty well, with few lockups (although careful alignment is needed). The outer layers are phenomenal, although the inner layers are slightly stiffer.
Piece type signature: HC4[F3.0 E3.0 T6.6 X9.0 X9.3f L12.6][]
Edge length: 62 mm
Weight: 124 grams

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Thank you to the following people for their assistance in helping collect the information on this page: quisquidillius.

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