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Schläfli symbol

Schläfli symbol noun: a notation that recursively encodes certain properties of a specified regular polytope or tessellation.

Noun

Schläfli symbol (plural Schläfli symbols)

  1. 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}.1995, Unnamed translator, E. B. Vinberg, Polynomial Group, article in M. Hazewinkel (editor), Encyclopaedia of Mathematics, Volume 4: Monge–Ampère Equation — Rings and Algebras, 2013, International...
    • For the regular tiling of squares the Schläfli symbol is {4,4}, indicating that there are four squares surrounding each vertex. And for the regular tiling of hexagons the Schläfli symbol is {6,3}, indicating that there are three hexagons surrounding each vertex.2007, Michael E. Mortenson, chapter L, in Geometric Transformations for 3D Modeling, page 248

Synonyms of Schläfli symbol

Forms of Schläfli symbol

pluralSchläfli symbols

Origin of Schläfli symbol

From Schläfli (“a surname”) + symbol, after 19th-century Swiss mathematician Ludwig Schläfli (1814–1895).

Questions about Schläfli symbol

What does Schläfli symbol mean?
Schläfli symbol means a notation that recursively encodes certain properties of a specified regular polytope or tessellation.
What part of speech is Schläfli symbol?
Schläfli symbol is a noun.
What is the plural of Schläfli symbol?
The plural of Schläfli symbol is Schläfli symbols.

Words near Schläfli symbol in the dictionary

  1. Schläfli
  2. Schläfli double six
  3. Schläfli double sixes
  4. Schläfli notation
  5. Schläfli notations
  6. Schläfli symbol
  7. Schläfli symbols
  8. schm-
  9. Schmahl
  10. Schmahls
  11. Schmahmann's syndrome

Source and license

Adapted from Wiktionary: Schläfli symbol (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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