Koskamo

Equation.io MCP

Provides tools to validate, encode, and decode graph URLs for Equation.io's interactive 2D and 3D graphing calculator, allowing agents to generate shareable links and display graphs directly in MCP Apps hosts.

Endpoint and access

No sign-in to connect and list tools. Individual tools may still need a vendor account, credentials, or permissions; check the documented prerequisites.

Equation.io MCP logo, by Equation.ioVendor evidenceStreamable HTTPNo sign-inEndpoint checked 2026-11-06Operated by Equation.io
MCP endpoint (Streamable HTTP)
https://equation.io/mcp
Vendor documentation

What its tools do

3 tools, grouped by the hints the server advertises. Hints are self-declared, not verified behavior.

Read-only (3)

3 of 3 have a description · 3 of 3 declare behavior hints · 3 of 3 with parameters document them all

Checks and signals

Each line is separate evidence, not a trust score.

  • Passed Endpoint answered the live check ·
  • Passed Official MCP Registry namespace is tied to equation.io ·
  • Passed Endpoint is on the registry namespace domain ·
  • Availability 1 of 1 checks passed in 30 days

What you can do with it

  • Validate equations and generate shareable graph URLs
  • Decode existing graph links back into equation rows for editing
  • Display interactive graphs directly in MCP Apps hosts like ChatGPT

Source and maintenance

Vendor evidenceRegistry 1.0.1
mcp-registry: io.equation/equation@1.0.1Source repositoryProject website
Maintenance checked

Protocol and capabilities

Server
equation 1.0.1
MCP protocol negotiated in check
2025-06-18
Tools
3 advertised
Resources
2 advertised
Resource templates
0 advertised
Prompts
Not advertised
Server-advertised capabilities
{
  "tools": {},
  "resources": {}
}

Server-provided instructions

Untrusted server output shown for inspection. It is not Koskamo guidance and is excluded from knowledge search.

Graphing calculator whose entire state lives in the URL. show_graph displays an interactive graph in the conversation. encode_graph_url validates equations and creates a share link without displaying a widget. decode_graph_url decodes a link the user shares so you can edit their graph. Before writing non-trivial equations, read the "syntax" resource: the full language reference, also served at https://equation.io/llms.txt

Tools

3 advertised

encode_graph_url — Create a graph link
Advertised by the server during the last successful anonymous check.
Advertised read-only

Build an equation.io graph link, validating every row with the app's parser. Pass the COMPLETE graph in "equations": a flat array of strings, one equation or definition per string, in display order — when editing an existing graph (see decode_graph_url), include unchanged rows too. Rows can be: equations and inequalities in x,y (curves, regions; z makes it 3D), bare expressions in x, y (scalar fields — a curve is written y = f(x); complex plots via w), points (rows report "draggable"), parametric tuples in u,v — and definitions: "a = 2" (a draggable slider), "f(x) = x^3 - a x", coordinate fields like "r = sqrt(x^2+y^2)" for polar. t animates. Also derivatives d/dx, integrals int[a..b] f dx, sums sum[n=1..N], domain()/conformal()/iter() for complex plots, rgb()/hsl()/oklch() color fields, y' = … slope fields, random variables "X ~ Normal(m, s)"/"P(0<X<2)"/"E(X^2)", and "view(x = -5..5, y = -2..2)"/"camera(theta, phi)" framing rows. That is a menu, not the syntax: before your first non-trivial graph, read the "syntax" MCP resource (also at https://equation.io/llms.txt). The result returns text and structured data only. "rows" gives each equation's validation result: status "ok" with its kind, or "error" with the parser message. The link is usable only once every row is "ok". Give users the share_url (it unfurls to a link card in chat apps); url is the equivalent #-fragment form. No image is attached to the tool response.

encode_graph_url input schema
{
  "type": "object",
  "required": [
    "equations"
  ],
  "properties": {
    "equations": {
      "type": "array",
      "items": {
        "type": "string"
      },
      "description": "Every equation in the graph, in display order. One equation or definition per string — do not join rows with \";\" (inside quoted text a \";\" is data, and kept)."
    }
  },
  "additionalProperties": false
}
encode_graph_url output schema
{
  "type": "object",
  "required": [
    "valid",
    "url",
    "share_url",
    "rows"
  ],
  "properties": {
    "url": {
      "type": "string",
      "description": "Graph URL using a #-fragment."
    },
    "rows": {
      "type": "array",
      "items": {
        "anyOf": [
          {
            "type": "object",
            "required": [
              "text",
              "status",
              "kind"
            ],
            "properties": {
              "kind": {
                "type": "string"
              },
              "note": {
                "type": "string"
              },
              "text": {
                "type": "string"
              },
              "value": {
                "type": "string"
              },
              "status": {
                "enum": [
                  "ok"
                ],
                "type": "string"
              },
              "animated": {
                "type": "boolean"
              },
              "draggable": {
                "type": "boolean"
              }
            },
            "additionalProperties": false
          },
          {
            "type": "object",
            "required": [
              "text",
              "status",
              "error"
            ],
            "properties": {
              "text": {
                "type": "string"
              },
              "error": {
                "type": "string"
              },
              "status": {
                "enum": [
                  "error"
                ],
                "type": "string"
              }
            },
            "additionalProperties": false
          }
        ]
      }
    },
    "valid": {
      "type": "boolean"
    },
    "preview": {
      "type": "string",
      "description": "Static preview availability and limitations."
    },
    "share_url": {
      "type": "string",
      "description": "Shareable /g/ graph URL."
    },
    "preview_omits": {
      "type": "array",
      "items": {
        "type": "object",
        "required": [
          "row",
          "why"
        ],
        "properties": {
          "row": {
            "type": "string"
          },
          "why": {
            "type": "string"
          }
        },
        "additionalProperties": false
      }
    }
  },
  "additionalProperties": false
}
encode_graph_url annotations
{
  "title": "Create a graph link",
  "readOnlyHint": true,
  "openWorldHint": false,
  "idempotentHint": true,
  "destructiveHint": false
}
decode_graph_url — Read a graph link
Advertised by the server during the last successful anonymous check.
Advertised read-only

Decode an equation.io link (either the #-fragment form or the /g/ share form) into its list of equation rows, so you can edit them and build a new link with encode_graph_url. The rows use the equation.io syntax documented in the "syntax" MCP resource (also at https://equation.io/llms.txt).

decode_graph_url input schema
{
  "type": "object",
  "required": [
    "url"
  ],
  "properties": {
    "url": {
      "type": "string",
      "description": "An equation.io graph URL."
    }
  }
}
decode_graph_url output schema
{
  "type": "object",
  "required": [
    "equations"
  ],
  "properties": {
    "equations": {
      "type": "array",
      "items": {
        "type": "string"
      }
    }
  },
  "additionalProperties": false
}
decode_graph_url annotations
{
  "title": "Read a graph link",
  "readOnlyHint": true,
  "openWorldHint": false,
  "idempotentHint": true,
  "destructiveHint": false
}
show_graph — Show an interactive graph
Advertised by the server during the last successful anonymous check.
Advertised read-only

Display an interactive equation.io graph inside the conversation, with editable equations, sliders, pan/zoom, and 3D rotation. Use when the user asks to see or explore a graph. Pass the COMPLETE graph as "equations", one equation or definition per string, preserving unchanged rows when editing. For a slider use "a = 2" then "y = a sin(x)". For advanced syntax read the "syntax" resource (https://equation.io/llms.txt). Returns per-row validation and share links; a row with status "error" is not drawn until its text is corrected and the graph resubmitted. Use encode_graph_url for validation or link-only requests (including share-link preview notes). In clients without UI support, provide share_url.

show_graph input schema
{
  "type": "object",
  "required": [
    "equations"
  ],
  "properties": {
    "equations": {
      "type": "array",
      "items": {
        "type": "string"
      },
      "description": "Every equation in the graph, in display order. One equation or definition per string — do not join rows with \";\" (inside quoted text a \";\" is data, and kept)."
    }
  },
  "additionalProperties": false
}
show_graph output schema
{
  "type": "object",
  "required": [
    "valid",
    "url",
    "share_url",
    "rows"
  ],
  "properties": {
    "url": {
      "type": "string",
      "description": "Graph URL using a #-fragment."
    },
    "rows": {
      "type": "array",
      "items": {
        "anyOf": [
          {
            "type": "object",
            "required": [
              "text",
              "status",
              "kind"
            ],
            "properties": {
              "kind": {
                "type": "string"
              },
              "note": {
                "type": "string"
              },
              "text": {
                "type": "string"
              },
              "value": {
                "type": "string"
              },
              "status": {
                "enum": [
                  "ok"
                ],
                "type": "string"
              },
              "animated": {
                "type": "boolean"
              },
              "draggable": {
                "type": "boolean"
              }
            },
            "additionalProperties": false
          },
          {
            "type": "object",
            "required": [
              "text",
              "status",
              "error"
            ],
            "properties": {
              "text": {
                "type": "string"
              },
              "error": {
                "type": "string"
              },
              "status": {
                "enum": [
                  "error"
                ],
                "type": "string"
              }
            },
            "additionalProperties": false
          }
        ]
      }
    },
    "valid": {
      "type": "boolean"
    },
    "share_url": {
      "type": "string",
      "description": "Shareable /g/ graph URL."
    }
  },
  "additionalProperties": false
}
show_graph annotations
{
  "title": "Show an interactive graph",
  "readOnlyHint": true,
  "openWorldHint": false,
  "idempotentHint": true,
  "destructiveHint": false
}

Prompts

Not advertised

No prompt definitions available.

Resources

2 advertised

syntax — Equation syntax reference

Advertised by the server during the last successful anonymous check.

The full equation language: operators and functions, every row type (curves, regions, scalar and vector fields, complex plots incl. domain coloring, conformal maps and fractals, ODEs, parametrics, 3D surfaces), definitions and sliders, polar coordinates, sums, derivatives — with paste-ready examples.

syntax URI
https://equation.io/llms.txt

MIME type: text/markdown

graph — Interactive equation.io graph

Advertised by the server during the last successful anonymous check.

graph URI
ui://equation/graph-v2.html

MIME type: text/html;profile=mcp-app

90-day uptime

A lightweight connection check about every six hours, sampled on hosts with many listings. It shows the server answered, not that its tools work.

Too few checks for a percentage yet (2 of 2 answered).

  1. 2026-11-06: 1 of 1 checks answered
  2. 2026-11-07: 1 of 1 checks answered

30-day availability

Aggregated from read-only remote checks; this is not a tool-execution or security guarantee.

Successful checks
1 of 1 (100%)
Average latency
354 ms
95th percentile latency
354 ms

Maintenance history

Public check and source-refresh events. Editorial and ownership records remain private.

  • · probe · passed · 354 ms · metadata changed · 3 tool(s), 2 resource(s), 0 resource template(s)

Connect from your client

Each snippet registers the same endpoint; pick the client you use.

This server is operated by the named third party. Listing and endpoint checks are not an endorsement or a security audit. Review the operator's permissions, terms, and data handling before connecting. How listings are checked and corrected.

Claude Code

Run this once in a terminal. It registers the remote server. Use --scope project to write .mcp.json for the repo.
Claude Code configuration
claude mcp add --transport http equation-io-mcp https://equation.io/mcp

Codex

Run this once. Codex stores MCP servers in ~/.codex/config.toml (or .codex/config.toml in a trusted project).
Codex configuration
codex mcp add equation-io-mcp --url https://equation.io/mcp

Cursor

Merge this server into .cursor/mcp.json in your project, then enable equation-io-mcp in your MCP settings.
Cursor configuration
{
  "mcpServers": {
    "equation-io-mcp": {
      "url": "https://equation.io/mcp"
    }
  }
}

Cline

Merge this into cline_mcp_settings.json (Cline → MCP Servers → Configure).
Cline configuration
{
  "mcpServers": {
    "equation-io-mcp": {
      "type": "streamableHttp",
      "url": "https://equation.io/mcp",
      "disabled": false
    }
  }
}

VS Code

Merge this server into .vscode/mcp.json. Use MCP: List Servers to start equation-io-mcp and inspect its tools.
VS Code configuration
{
  "servers": {
    "equation-io-mcp": {
      "type": "http",
      "url": "https://equation.io/mcp"
    }
  }
}

Gemini CLI

Run this once. It writes .gemini/settings.json in the current project; pass --scope user for ~/.gemini/settings.json.
Gemini CLI configuration
gemini mcp add --transport http equation-io-mcp https://equation.io/mcp

Claude Desktop

Open Claude Settings > Connectors > Add custom connector, enter this server URL and enable it for the conversation. This is a manual remote-connector handoff, not a desktop JSON configuration.
Claude Desktop configuration
https://equation.io/mcp

Windsurf

Merge this into ~/.codeium/windsurf/mcp_config.json, then refresh MCP in Cascade. Windsurf remote servers use serverUrl, not url.
Windsurf configuration
{
  "mcpServers": {
    "equation-io-mcp": {
      "serverUrl": "https://equation.io/mcp"
    }
  }
}

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