Dave's Diamond IIA hexagonal dipyramid proportioned such that two offset sets of axes intersect at 90 degrees.
Deca CrownAn edge turning dodecahedron, hollowed and radically truncated on two sides and with only ten edges turning.
Diamond minxA megaminx with one side shaved off but he other eleven still working.
Diamond of PainA 1-layered hexagonal dipyramid or a one layered Square-1 alternative. It can also swap bottom to the top and it has 6 colours.
ELIA pentagonal antiprism with two layers.
Enclosed CubeA 3x3x3 with six edges truncated like a octagon. A highly symmetric truncation.
FasterosoA Pyraminx in shape of a Tetrakis Tetrahedron.