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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

set_simplex_view

act imperative

Adjust the four-weight simplex: weights (normalised to sum to one), the section plane δ in 0..1, the lattice denominator n (1..24), lattice visibility, or the rotation in radians. Returns the lattice count C(n+3, 3). Give at least one field.

Input schema

PropertyTypeRequiredDescription
objectId string no Id of the simplex object. Optional when the project holds exactly one.
weights array no Four non-negative weights with positive sum, e.g. [0.2, 0.35, 0.25, 0.2]. Normalised automatically.
section number no Section plane position δ, 0..1.
denominator integer no Lattice denominator n, 1..24; the lattice then holds C(n+3, 3) points.
showLattice boolean no true shows the lattice points, false hides them.
rotationX number no Rotation about the x axis in radians, e.g. 0.2.
rotationY number no Rotation about the y axis in radians, e.g. -0.25.
Raw JSON schema
{
  "type": "object",
  "properties": {
    "objectId": {
      "type": "string",
      "description": "Id of the simplex object. Optional when the project holds exactly one."
    },
    "weights": {
      "type": "array",
      "minItems": 4,
      "maxItems": 4,
      "items": {
        "type": "number",
        "minimum": 0,
        "description": "Weight ≥ 0."
      },
      "description": "Four non-negative weights with positive sum, e.g. [0.2, 0.35, 0.25, 0.2]. Normalised automatically."
    },
    "section": {
      "type": "number",
      "minimum": 0,
      "maximum": 1,
      "description": "Section plane position δ, 0..1."
    },
    "denominator": {
      "type": "integer",
      "minimum": 1,
      "maximum": 24,
      "description": "Lattice denominator n, 1..24; the lattice then holds C(n+3, 3) points."
    },
    "showLattice": {
      "type": "boolean",
      "description": "true shows the lattice points, false hides them."
    },
    "rotationX": {
      "type": "number",
      "description": "Rotation about the x axis in radians, e.g. 0.2."
    },
    "rotationY": {
      "type": "number",
      "description": "Rotation about the y axis in radians, e.g. -0.25."
    }
  },
  "additionalProperties": false,
  "examples": [
    {
      "section": 0.5
    },
    {
      "denominator": 8,
      "showLattice": true
    },
    {
      "weights": [
        0.25,
        0.25,
        0.25,
        0.25
      ]
    }
  ]
}

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