Construct · 1 fields · 2 citations

frieze: a standalone construct

One name. One construct. A landmark on the map.

● anchor · a standalone construct Nearest construct by meaning·not indexed
frieze1 CONSTRUCTFrieze group7 FRIEZE GROUPS

A single standalone construct; nearby constructs are located against it in the Collider. Tap a field for its definition, unit, and measures.

Mathematics

A symmetry group of a strip pattern

In mathematics a frieze group is one of exactly seven symmetry groups describing a pattern that repeats along a single direction: an infinite strip invariant under translation and, in some of the seven, also under reflections, glide reflections, or half-turns. Grünbaum and Shephard's Tilings and patterns and Washburn and Crowe's Symmetries of culture set out the classification and apply it to ornament. The referent is an abstract group capturing the complete symmetry of a one-dimensionally repeating band, enumerated and proven to number exactly seven. It is a formal object that borrows the decorator's word for a running band.[1][2]

Unit
Which of the seven symmetry types a strip pattern belongs to
Recovery means
Not applicable
Measured by
Classified by the translations, reflections, glide reflections, and rotations that leave the strip pattern unchanged

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Nearby constructs

architecture3 fields · 4 citationsjingle · one word, three constructsband2 fields · 2 citationsjingle · one word, two constructs

References

  1. Grünbaum, B., & Shephard, G. C. (1987). Tilings and patterns. W. H. Freeman. ISBN 9780716711933
  2. Washburn, D. K., & Crowe, D. W. (1988). Symmetries of culture: Theory and practice of plane pattern analysis. University of Washington Press. ISBN 9780295970844

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