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webmcp-tda.pages.dev

webmcp-tda.pages.dev

live Unverified (seed import) Health & Education 4 tools imperative implementation

A shared browser-local persistent homology workbench for people and WebMCP agents

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

Answer 2 · Act 2 · Transact 0 · Score: Not yet scored

Tool inspector

tda_compute_simplicial_persistence

act imperative

Compute one-parameter persistent homology for a supplied 2D or 3D point cloud using a Vietoris–Rips, Alpha, or Čech complex. Runs locally in a Web Worker and updates the visible shared result.

Input schema

PropertyTypeRequiredDescription
complex string yes Complex family: Vietoris–Rips, Alpha, or Čech.
points array yes Point coordinates. Every point must have the same length, either 2 or 3. Limit: 256 points.
coefficientField integer no —
resultLimit integer no —
parameters object no —
Raw JSON schema
{
  "type": "object",
  "properties": {
    "complex": {
      "type": "string",
      "enum": [
        "rips",
        "alpha",
        "cech"
      ],
      "description": "Complex family: Vietoris–Rips, Alpha, or Čech."
    },
    "points": {
      "type": "array",
      "minItems": 2,
      "maxItems": 256,
      "items": {
        "type": "array",
        "minItems": 2,
        "maxItems": 3,
        "items": {
          "type": "number",
          "minimum": -1000000,
          "maximum": 1000000
        }
      },
      "description": "Point coordinates. Every point must have the same length, either 2 or 3. Limit: 256 points."
    },
    "coefficientField": {
      "type": "integer",
      "enum": [
        2,
        3,
        5,
        7,
        11,
        13,
        17,
        19
      ],
      "default": 2
    },
    "resultLimit": {
      "type": "integer",
      "minimum": 1,
      "maximum": 200,
      "default": 50
    },
    "parameters": {
      "type": "object",
      "properties": {
        "maxEdgeLength": {
          "type": "number",
          "exclusiveMinimum": 0,
          "maximum": 4000000,
          "description": "Rips maximum edge length."
        },
        "maxRadius": {
          "type": "number",
          "exclusiveMinimum": 0,
          "maximum": 4000000,
          "description": "Čech maximum ball radius."
        },
        "maxSimplexDimension": {
          "type": "integer",
          "minimum": 1,
          "maximum": 3,
          "description": "Optional override. Defaults to 2 for 2D input and 3 for 3D input."
        }
      },
      "required": [],
      "additionalProperties": false
    }
  },
  "required": [
    "complex",
    "points"
  ],
  "additionalProperties": false
}

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