page_title: Small stellated dodecahedron
section_title: In art
hierarchical_section_title: Small stellated dodecahedron / In art
caption_attribution_description: English: St Mark's Basilica, Venice Floor mosaic by Paolo Uccello, Small stellated dodecahedron
context_page_description: In geometry, the small stellated dodecahedron is a Kepler-Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol {​⁵⁄₂,5}. It is one of four nonconvex regular polyhedra. It is composed of 12 pentagrammic faces, with five pentagrams meeting at each vertex.
  It shares the same vertex arrangement as the convex regular icosahedron. It also shares the same edge arrangement with the great icosahedron, with which it forms a degenerate uniform compound figure.
  It is the second of four stellations of the dodecahedron.
  The small stellated dodecahedron can be constructed analogously to the pentagram, its two-dimensional analogue, via the extension of the edges of the core polytope until a point is reached where they intersect.
context_section_description: A small stellated dodecahedron can be seen in a floor mosaic in St Mark's Basilica, Venice by Paolo Uccello circa 1430. The same shape is central to two lithographs by M. C. Escher: Contrast (Order and Chaos) (1950) and Gravitation (1952).
caption: Floor mosaic by Paolo Uccello, 1430
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