Editing Polyform (section)

==Generalizations==
Polyforms can also be considered in higher dimensions. In 3-dimensional space, basic [[polyhedra]] can be joined along congruent faces. Joining [[cube (geometry)|cube]]s in this way produces the [[polycube]]s, and joining [[tetrahedron]]s in this way produces the polytetrahedrons. 2-dimensional polyforms can also be folded out of the plane along their edges, in similar fashion to a [[Net (polyhedron)|net]]; in the case of polyominoes, this results in [[polyominoid]]s.

One can allow more than one basic polygon. The possibilities are so numerous that the exercise seems pointless, unless extra requirements are brought in. For example, the [[Penrose tile]]s define extra rules for joining edges, resulting in interesting polyforms with a kind of pentagonal symmetry.

When the base form is a polygon that tiles the plane, rule 1 may be broken. For instance, squares may be joined orthogonally at vertices, as well as at edges, to form hinged/[[pseudo-polyomino]]s, also known as polyplets or polykings.<ref>{{MathWorld|urlname=Polyplet|title=Polyplet}}</ref>