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Another cuboid with half-regular dimensions that would have been impossible without CAD.
This cuboid's design went through at least two iterations. The first was printed, and presented by Karl-Heinz Diekmann in 2010. The second smaller and hollowed one was presented in 2011.
Interesting about this puzzle is its shape. Despite the 7x7x7 being a pillowed hexahedron this cuboid is not pillowed.
Layers 2 and 6 are around 1 mm thick plastic sheets so it isn't really possible to make a proportional 5x5x7 cuboid by hand without 3d printing unless it is a "full" version with all six 5x5 babyfaces (professor/5x5x5 cross cube). The better option would be to make an emperor pyraminx ultimate inside out like Ilya Toporgilka did which is a 7x7x7 cross octahedron (in fact, it has multiple babyfaces). However that would not be a cube anymore.
Thank you to the following people for their assistance in helping collect the information on this page: Andreas Nortmann, Blake Nors.
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