Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometry, an alternation (also called partial truncation, snub or snubification) is an operation on a polyhedron or tiling that birectifies alternate vertices. Only even-sided polyhedra can be alternated, for example the zonohedra. Every 2n-sided face becomes n-sided. Square faces disappear into new edges. An alternation of a regular polyhedron or tiling is sometimes labeled by the regular form, prefixed by an h, standing for half. For example h{4,3} is an alternated cube (creating a tetrahedron), and h{4,4} is an alternated square tiling (still a square tiling).

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