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A puzzle which is based on the fourth dimensional symmetry (edge-transitivity) of the 4D polytope Tetrahedral prism
This puzzle is based on the story of two lovers who lived in the city of Babylon and were never able to meet. It is based on the 4D structure known as Tetrahedral Prism. Just like in the story, the blue tetrahedron (Pyramus) can never connect the red tetrahedron (Thisble). But they are always together as their love (represented by the yellow edges that connect the two tetrahedrons) never allows them to be separated.
The Abyss is solved when it has the correct shape AND the correct color pattern. The correct shape is that of a small internal tetrahedron whose corners are connected to the corners of a large external tetrahedron. The correct color pattern is achieved by having all rods of the small internal tetrahedron (and subsequently of the large external tetrahedron) to be of the same color. There are two possible solved configurations,
(1) the external tetrahedron is blue, and the internal tetrahedron is black, and
(2) the external cube is black and the internal is blue.
The movement is done by elongating and contracting the telescopic rods such that corners pass through the faces.
Thank you to the following people for their assistance in helping collect the information on this page: Andreas Nortmann.
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