TERMIUM Plus®

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Record 1 2003-03-25

English

Subject field(s)
  • Plane Geometry
  • Mineralogy
DEF

(suffix) Multiplied by ...

CONT

A twelvefold increase ... threefold aspect of a problem ...

CONT

symmetry: In general, a figure or expression is said to be symmetric if parts of it may be interchanged without changing the whole. ... A right circular cone has an axis of symmetry. A geometric figure has n-fold rotational symmetry about an axis if a rotation of 360°/n is a symmetry of the figure. Thus an axis of symmetry can be a rotational axis. For example, an axis through the centre of a square perpendicular to the plane is a 4-fold axis since a rotation of 360°/4 produces an identical figure; a diagonal is a 2-fold axis.

CONT

The cube shows rotational symmetry with respect to 3 axes, 2-fold with respect to the center of an edge, 3-fold with respect to a vertex, 4-fold with respect to a face.

Key term(s)
  • fold

French

Domaine(s)
  • Géométrie plane
  • Minéralogie
CONT

Système cubique : axes de rotation d'ordre 4 [...]; axes de rotation d'ordre 3 [...]; axes de rotation d'ordre 2 [...]

CONT

D. Schechtman et ses collaborateurs [...] ont obtenu un diagramme de diffraction icosaédrique présentant une symétrie d'ordre cinq. Qu'y a-t-il de si surprenant? Tout simplement, on sait depuis le XVIIIe siècle que la symétrie pentagonale - tout comme les symétries d'ordre égal ou supérieur à 7 - est interdite dans la structure tripériodique des cristaux.

Spanish

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