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(geometry) A notation that recursively encodes certain properties of a specified regular polytope or tessellation.

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Schläfli symbol

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Schläfli symbol

noun

(geometry) A notation that recursively encodes certain properties of a specified regular polytope or tessellation.

The Schläfli symbol of a regular tetrahedron is {3,3}.

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(geometry) A notation that recursively encodes certain properties of a specified regular polytope or tessellation.

The three-dimensional regular polytopes (Platonic solids) have the following Schläfli symbols: the tetrahedron — {3, 3}, the cube — {4, 3}, the octahedron — {3, 4} — the dodecahedron — {5, 3}, and the icosahedron — {3, 5}.

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Schläfli symbol

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