"Keller's conjecture" meaning in English

{
  "etymology_text": "The conjecture was introduced by Ott-Heinrich Keller (1930).",
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  "lang_code": "en",
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          "name": "Geometry",
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      "glosses": [
        "The conjecture that, in any tiling of n-dimensional Euclidean space by identical hypercubes, there are two hypercubes that share an entire (n − 1)-dimensional face with each other."
      ],
      "id": "en-Keller's_conjecture-en-name-b6Z-6XBI",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "tiling",
          "tiling"
        ],
        [
          "Euclidean space",
          "Euclidean space"
        ],
        [
          "identical",
          "identical"
        ],
        [
          "hypercube",
          "hypercube"
        ],
        [
          "face",
          "face"
        ]
      ],
      "raw_glosses": [
        "(geometry) The conjecture that, in any tiling of n-dimensional Euclidean space by identical hypercubes, there are two hypercubes that share an entire (n − 1)-dimensional face with each other."
      ],
      "related": [
        {
          "word": "Keller graph"
        }
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Keller's conjecture"
}

{
  "etymology_text": "The conjecture was introduced by Ott-Heinrich Keller (1930).",
  "head_templates": [
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      "expansion": "Keller's conjecture",
      "name": "en-prop"
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  "lang_code": "en",
  "pos": "name",
  "related": [
    {
      "word": "Keller graph"
    }
  ],
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        "en:Geometry"
      ],
      "glosses": [
        "The conjecture that, in any tiling of n-dimensional Euclidean space by identical hypercubes, there are two hypercubes that share an entire (n − 1)-dimensional face with each other."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "tiling",
          "tiling"
        ],
        [
          "Euclidean space",
          "Euclidean space"
        ],
        [
          "identical",
          "identical"
        ],
        [
          "hypercube",
          "hypercube"
        ],
        [
          "face",
          "face"
        ]
      ],
      "raw_glosses": [
        "(geometry) The conjecture that, in any tiling of n-dimensional Euclidean space by identical hypercubes, there are two hypercubes that share an entire (n − 1)-dimensional face with each other."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
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