Abstract
Ochominoes are a new type of polyform tiles: polyocts, specifically its subset of di-octs. Di-octs consist of pairs of octagons edge-joined to form a kind of domino, with from 0 to 6 squares attached on their diagonal edges in all possible combinations. The tiles are reversible, so mirror reflections are not included as separate pieces. We explore the different types of symmetries that pairs of Ochominoes tiles can form—orthogonally, diagonally, rotationally—as 2x2 or 1x4 pairs or even obliquely. Hand-derived solutions have been computer-verified. We also illustrate the aesthetics of such mathematical sets: math as art.
