Pseudo Tricubes with Corner Connections

thingiverse

Jared McComb sparked an idea, asking how adding corner-connected pieces to pseudo tricubes would change the game. Pseudo tricubes only join at faces or edges, but what if we added triangular antiprisms, connecting little triangles at two cubes' corners? This unexpected combination creates 16 new pieces and opens doors for a 4x4x3 box construction and other complex designs.