Tetra-rhombs

Tetra-rhombs

cults3d

In the spirit of pentominos and hexiamonds, a tetra-rhomb is made up of 4 rhombic dodecahedrons, connected face to face. The rhombic dodecahedron is one of the few regular solids besides the cube which will tessellate space. There are 28 tetra-rhombs, with 14 of them planar (the centers of the four dodecahedrons are on the same plane) and 14 of them non-planar. The 14 planar tetra-rhombs can form a tetrahedron, as can the 14 non-planar tetra-rhombs, but this is much harder. All 28 tetra-rhombs can form a great pyramid with a rectangular base. The solutions, and my names for the pieces, are included in the .pdf file.

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