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mathburst.fireheartjerry.chatgpt.site

mathburst.fireheartjerry.chatgpt.site

live Unverified (seed import) Health & Education 48 tools imperative implementation

A live mathematical canvas for reasoning, visualization, and WebMCP-native tutoring.

First seen 2026-11-05 · Last seen 2026-11-05 · Source: webmcp.com

Answer 9 · Act 37 · Transact 2 · Score: Not yet scored

Tool inspector

construct_geometry

act imperative

Build a live construction, or extend one with objectId. Coords: px local to bounds. Shapes: point {at}, segment {from,to}, line {through[2]}, circle {center,through}, polygon {points}, midpoint {of[2]}, perpendicular/parallel {through,to}, intersection {lines[2]}, angle {a,vertex,b}, homothety/similarity {center,source,factor}, spiralCenter {a,b,a2,b2}, incenter/circumcircle {of[3]}, arcMidpoint {of[3],notContaining|containing}, mixtilinearIncircle {of[3],vertex}, circleTangency {circles[2]}

Input schema

PropertyTypeRequiredDescription
primitives array yes Primitives in dependency order; coordinates in px local to the object bounds. Each item is one primitive; see the tool description for shapes.
bounds object no Construction box in world px. Default {x: 400, y: 170, width: 430, height: 330}. Ignored with objectId.
accent string no CSS accent color for the marks. Default "#7c5cff". Ignored with objectId.
objectId string no Existing geometry object to extend; new primitive ids must not clash with its own.
summary string no Past-tense label for the activity rail and undo menu, e.g. "Constructed the perpendicular bisector". Optional.
construct boolean no true: create it unbuilt (drawProgress 0), then animate drawProgress 0 to 1 on a timeline to build it on screen. Ink draws stroke by stroke.
Raw JSON schema
{
  "type": "object",
  "properties": {
    "primitives": {
      "type": "array",
      "minItems": 1,
      "description": "Primitives in dependency order; coordinates in px local to the object bounds. Each item is one primitive; see the tool description for shapes.",
      "items": {
        "type": "object",
        "description": "By kind: point {at, label?, draggable?}, segment {from, to}, line {through: [a, b]}, circle {center, through}, polygon {points}, midpoint {of: [a,b]}.",
        "properties": {
          "kind": {
            "type": "string",
            "description": "Primitive kind, e.g. \"point\" or \"segment\"."
          },
          "id": {
            "type": "string",
            "description": "Id unique inside the construction, e.g. \"A\" or \"AB\". Other primitives reference it."
          }
        },
        "required": [
          "kind",
          "id"
        ],
        "additionalProperties": true
      }
    },
    "bounds": {
      "type": "object",
      "description": "Construction box in world px. Default {x: 400, y: 170, width: 430, height: 330}. Ignored with objectId.",
      "properties": {
        "x": {
          "type": "number",
          "description": "Left edge in world px."
        },
        "y": {
          "type": "number",
          "description": "Top edge in world px."
        },
        "width": {
          "type": "number",
          "exclusiveMinimum": 0,
          "description": "Width in world px, > 0."
        },
        "height": {
          "type": "number",
          "exclusiveMinimum": 0,
          "description": "Height in world px, > 0."
        }
      },
      "required": [
        "x",
        "y",
        "width",
        "height"
      ],
      "additionalProperties": false
    },
    "accent": {
      "type": "string",
      "description": "CSS accent color for the marks. Default \"#7c5cff\". Ignored with objectId."
    },
    "objectId": {
      "type": "string",
      "description": "Existing geometry object to extend; new primitive ids must not clash with its own."
    },
    "summary": {
      "type": "string",
      "maxLength": 120,
      "description": "Past-tense label for the activity rail and undo menu, e.g. \"Constructed the perpendicular bisector\". Optional."
    },
    "construct": {
      "type": "boolean",
      "description": "true: create it unbuilt (drawProgress 0), then animate drawProgress 0 to 1 on a timeline to build it on screen. Ink draws stroke by stroke."
    }
  },
  "required": [
    "primitives"
  ],
  "additionalProperties": false,
  "examples": [
    {
      "primitives": [
        {
          "kind": "point",
          "id": "A",
          "at": {
            "x": 60,
            "y": 240
          },
          "label": "A",
          "draggable": true
        },
        {
          "kind": "point",
          "id": "B",
          "at": {
            "x": 340,
            "y": 240
          },
          "label": "B",
          "draggable": true
        },
        {
          "kind": "point",
          "id": "C",
          "at": {
            "x": 200,
            "y": 60
          },
          "label": "C",
          "draggable": true
        },
        {
          "kind": "polygon",
          "id": "ABC",
          "points": [
            "A",
            "B",
            "C"
          ]
        },
        {
          "kind": "midpoint",
          "id": "M",
          "of": [
            "A",
            "B"
          ],
          "label": "M"
        },
        {
          "kind": "segment",
          "id": "CM",
          "from": "C",
          "to": "M"
        }
      ]
    },
    {
      "objectId": "geo-1",
      "primitives": [
        {
          "kind": "circle",
          "id": "c",
          "center": "A",
          "through": "B"
        }
      ]
    }
  ]
}

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