Polyominoid

In geometry, a polyominoid (or minoid for short) is a set of equal squares in 3D space, joined edge to edge at 90- or 180-degree angles.

This is because, in manufacturing a model of the polyominoid, a hard connection would be easier to realize than a soft one.

As with other polyforms, two polyominoids that are mirror images may be distinguished.

The table below enumerates free and one-sided polyominoids of up to 6 cells.

In general one can define an n,k-polyominoid as a polyform made by joining k-dimensional hypercubes at 90° or 180° angles in n-dimensional space, where 1≤k≤n.