Phrase guide

Schläfli symbol

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

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

Definition source: English Wiktionary via Wiktextract

Topics: geometry, mathematics, sciences

Examples

  • 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 Edition, page 481, 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}.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

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

Across languages

Translations

8 source translations are retained for this English entry.

  • Finnish: Schläflin symboli — notation encoding certain properties of a regular polytope or tessellation
  • German: Schläfli-Symbol — notation encoding certain properties of a regular polytope or tessellation
  • Hungarian: Schläfli-szimbólum — notation encoding certain properties of a regular polytope or tessellation
  • Italian: simbolo di Schläfli — notation encoding certain properties of a regular polytope or tessellation
  • Japanese: シュレーフリ記号 (Shurēfuri kigō) — notation encoding certain properties of a regular polytope or tessellation
  • Korean: 슐래플리 기호 (syullaepeulli giho) — notation encoding certain properties of a regular polytope or tessellation
  • Polish: symbol Schläfliego — notation encoding certain properties of a regular polytope or tessellation
  • Romanian: simbol Schläfli — notation encoding certain properties of a regular polytope or tessellation