Tera IcosidodecahedronA Teraminx truncated into the shape of an Icosidodecahedron which is a archimedean solid.
Tetra PyramidA 3x3x3 half-regularly truncated 12 times on the corners. The result is similar to the Half-Truncated-Cube.
Tetra Pyramid 6x6x6A V-Cube 6 truncated like the Tetra Pyramid, similar to the Half-Truncated-Cube.
Tetrakis Hexahedron 3x3x3It is a twenty-four sided puzzle made from an original 3x3x3 Rubik's cube. Named "Icositetrahedron" by the inventor. Aka "Sharp Edges 5A155D2EAA168"
Tetrakis HexaminxA megaminx in shape of a tetrakis hexahedron which is a catalan solid. The puzzle was designed from scratch.
Triakis OctahedronA 3x3x3 half-regularly truncated 24 times on its corners and afterwards extended. The result has the shape of the namegiving solid which is a catalan solid.