dihedral group

noun

a group of symmetries of a regular polygon

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Meanings

noundihedral group (plural dihedral groups)

plural dihedral groups

  1. group theorya group of symmetries of a regular polygon

Origin

From di- and -hedron; so called because the polygon, when it can be reflected along certain axes of symmetry, has two faces: its upper side and its underside.

Full word history & related roots →

Translations

Finnish diedriryhmä
  • diedriryhmägroup of symmetries of a regular polygon
Japanese 二面体群
  • 二面体群 (nimentaigun)group of symmetries of a regular polygon
Cite this entry
APA

dihedral group. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/dihedral%20group

MLA

“dihedral group.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/dihedral%20group. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “dihedral group,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/dihedral%20group.

Source: dihedral group on Wiktionary, CC BY-SA 4.0.