{
  "title": "Symmetry tests on three star patterns: eight-point lines, eight-point woven, ten-point lines",
  "description": "One row per symmetry test on the three star patterns of this page: the move tried, where, whether it left the pattern unchanged and how it was checked, ending with the wallpaper group of each pattern.",
  "license": "CC BY 4.0",
  "license_url": "https://creativecommons.org/licenses/by/4.0/",
  "creator": "Drawn Mathematics",
  "page": "https://drawnmathematics.com/symmetry/islamic-geometric-patterns/",
  "derived_from": [
    "Exact symmetry tests on the three patterns of this page (eight-point stars every 4 cells, the same pattern woven, ten-point stars 4 by 4 sin 72° cells apart); group symbols as in this site's table of the 17 wallpaper groups"
  ],
  "method": "Compiled by Drawn Mathematics from the data listed",
  "data_credit": [
    "Computed for this page from exact constructions of the three star patterns",
    "Rule that third and sixth turns need a repeat cell of two equilateral triangles: Pavel Etingof, Groups Around Us (2009 notes), Theorem 11.2 and its proof sketch"
  ]
}