{
  "id": "flat.commonsurfacegeometry",
  "term": "flat",
  "sense": "commonsurfacegeometry",
  "pos": "adjective",
  "status": "review",
  "level": 15,
  "arena": "geometry",
  "domain": "physical",
  "style": null,
  "definition": "A surface in which space is uniform across all parts and lies even with a plane, having no variation in height.",
  "folk_gloss": null,
  "emergence": {
    "components": [
      "space.extent",
      "pattern.regularity",
      "boundary.limit",
      "part.relation",
      "surface.exterior",
      "across.spatial",
      "even.numerical"
    ],
    "interaction": "Space.extent and pattern.regularity establish a uniform expanse, while boundary.limit determines where it ends, part.relation connects positions on surface.exterior to a shared plane, across.spatial ensures continuity from side to side, and even.numerical guarantees uniform alignment with a plane.",
    "novel_properties": [
      "uniform continuity",
      "planar alignment",
      "height invariance"
    ]
  },
  "examples": [
    {
      "text": "The surface of Lake Pontchartrain spans 632 square kilometers with less than 1 meter variation in elevation across its extent.",
      "domain": "geography"
    },
    {
      "text": "The silicon wafer used in Intel's 14nm fabrication process maintains a flatness within 0.1 micrometers across its 300mm diameter.",
      "domain": "engineering"
    },
    {
      "text": "The floor of the Sistine Chapel's nave was laid to be flat within 2mm over 40 meters, as measured during the 1980 restoration.",
      "domain": "architecture"
    }
  ],
  "relations": [
    {
      "id": "side.surface",
      "type": "medium-for",
      "note": "flat describes a condition of a surface"
    },
    {
      "id": "big.size",
      "type": "contrasts-with",
      "note": "flat is not about size, but about evenness of surface"
    }
  ],
  "used_by": [
    "board.material",
    "card.paper",
    "level.spatial",
    "page.sheet",
    "paper.material",
    "table.furniture"
  ],
  "forms": [
    "flat",
    "flatter",
    "flattest"
  ],
  "closed": false,
  "provenance": {
    "author": "openrouter:qwen/qwen3-235b-a22b-2507",
    "date": "2026-07-29",
    "confidence": 0.6,
    "reconciled": {
      "by": "openrouter:qwen/qwen3-235b-a22b-2507",
      "date": "2026-07-31",
      "changed": "components",
      "note": "Added across.spatial and even.numerical to match definition's reliance on 'across' and 'even' as constitutive elements."
    }
  },
  "canonical": "https://emergencemachine.com/tools/lexicon/what-is-the-meaning-of-flat.commonsurfacegeometry"
}