"wallpaper group" meaning in English

{
  "forms": [
    {
      "form": "wallpaper groups",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "wallpaper group (plural wallpaper groups)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Tesselation",
          "orig": "en:Tesselation",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "A mathematical group that classifies two-dimensional repeating patterns based on their symmetries."
      ],
      "id": "en-wallpaper_group-en-noun-0TDqdn0H",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "classifies",
          "classify"
        ],
        [
          "two-dimensional",
          "two-dimensional"
        ],
        [
          "repeating",
          "repeating"
        ],
        [
          "pattern",
          "pattern"
        ],
        [
          "symmetries",
          "symmetry"
        ]
      ],
      "raw_glosses": [
        "(geometry) A mathematical group that classifies two-dimensional repeating patterns based on their symmetries."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "wallpaper group"
}

{
  "forms": [
    {
      "form": "wallpaper groups",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "wallpaper group (plural wallpaper groups)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Geometry",
        "en:Tesselation"
      ],
      "glosses": [
        "A mathematical group that classifies two-dimensional repeating patterns based on their symmetries."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "classifies",
          "classify"
        ],
        [
          "two-dimensional",
          "two-dimensional"
        ],
        [
          "repeating",
          "repeating"
        ],
        [
          "pattern",
          "pattern"
        ],
        [
          "symmetries",
          "symmetry"
        ]
      ],
      "raw_glosses": [
        "(geometry) A mathematical group that classifies two-dimensional repeating patterns based on their symmetries."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "wallpaper group"
}