Glide-reflections appear to be less-favored symmetries in Islamic geometric patterns compared to other isometries.

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• Glide-reflections appear to be a less-favored symmetry for Islamic planar mosaic tilings.claim0.897
  Bodner's interpretive finding based on comparative analysis; supported by Abas and Salman's statistical distribution data.
• Determining whether or not a pattern has glide-reflection symmetry can be challengingclaim0.859
  Author's methodological note about subtlety of glide-reflections
• Glide-Reflection Symmetryconcept0.832
  One of four key isometries; combination of reflection and translation parallel to the mirror line.
• glide-reflections in frieze patterns may also be rareclaim0.822
  Extension to frieze patterns of the observed rarity in wallpaper groups
• We hypothesize that a similar 'brutal' and purely geometric process always occurs somewhere in other kinds of unfolding that generate living order — in poetry, dance, social structure, planning, and family relationships.hypothesis0.761
  Extends the brutal geometry thesis beyond architecture into all creative and social domains; acknowledged as not yet confirmed with certainty
• Higher reflection frequency correlates with lower accuracy partly because more reflections are generated on difficult questionsclaim0.756
  Author's interpretation of the negative correlation between reflection rate and accuracy observed in Fig. 5
• This structural resonance does not mean mathematics proves Buddhism; it shows that human intelligence approaching the same structural truth from different directions can produce overlapping contours.claim0.754
  Closing epistemic disclaimer distinguishing structural resonance from proof.
• Local symmetries are pervasive in nature (sun, trees, crystals, bodies) and are associated with minimum energy and least-action principles.claim0.751