Prisms & Antiprisms |
A regular prism consists of two regular N-sided polygons joined together by N squares. A regular antiprism consists of two regular N-sided polygons joined together by 2N equilateral triangles. The Square Prism and the Triangular Antiprism are the Cube and the Octahedron, respectively. The remaining regular prisms and antiprisms are closely related to Archimedean solids in the sense that they are convex polyhedra whose faces are regular polygons of two or more types that meet in the same pattern around each vertex. The distinguishing factor is that regular prisms and antiprisms do not have polyhedral group (tetrahedral, octahedral, or icosahedral) rotational symmetries.
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References: | [1] | Johannes Kepler, Harmonices Mundi (1619). |
[2] | Johannes Kepler with E. J. Aiton, A. M. Duncan, and J. V. Field, translators, The Harmony of the World, American Philosophical Society (1997). |