Equation.io
Create interactive 2D and 3D graphs with validated equations, shareable links, and PNG previews.
Should I use this
Quality & Safety
Findings (6)
- HIGHTool poisoning patterns detected
- MEDIUMTool description contains URL to non-standard domainin encode_graph_url
- MEDIUMTool description contains URL to non-standard domainin decode_graph_url
- MEDIUMTool description contains URL to non-standard domainin show_graph
- LOWTool 'encode_graph_url' suggests web access but openWorldHint=falsein encode_graph_url
- LOWTool 'decode_graph_url' suggests web access but openWorldHint=falsein decode_graph_url
Based on automated analysis of tool definitions and protocol compliance.
Context Cost
This is the approximate number of tokens consumed each time the server's tools are loaded into a model's context. Higher counts reduce the attention available for other tasks.
Install
One-Click Install
Add this to your `claude_desktop_config.json` file:
{
"mcpServers": {
"equation": {
"url": "https://equation.io/mcp"
}
}
}Remote endpoints
https://equation.io/mcpstreamable-httpWhat it can do
Tool inventory
Tools (3)
🟢encode_graph_url(equations)
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.
Input Schema
{
"type": "object",
"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)."
}
},
"required": [
"equations"
],
"additionalProperties": false
}Output Schema
{
"type": "object",
"properties": {
"valid": {
"type": "boolean"
},
"url": {
"type": "string",
"description": "Graph URL using a #-fragment."
},
"share_url": {
"type": "string",
"description": "Shareable /g/ graph URL."
},
"preview": {
"type": "string",
"description": "Static preview availability and limitations."
},
"preview_omits": {
"type": "array",
"items": {
"type": "object",
"properties": {
"row": {
"type": "string"
},
"why": {
"type": "string"
}
},
"required": [
"row",
"why"
],
"additionalProperties": false
}
},
"rows": {
"type": "array",
"items": {
"anyOf": [
{
"type": "object",
"properties": {
"text": {
"type": "string"
},
"status": {
"type": "string",
"enum": [
"ok"
]
},
"kind": {
"type": "string"
},
"animated": {
"type": "boolean"
},
"value": {
"type": "string"
},
"note": {
"type": "string"
},
"draggable": {
"type": "boolean"
}
},
"required": [
"text",
"status",
"kind"
],
"additionalProperties": false
},
{
"type": "object",
"properties": {
"text": {
"type": "string"
},
"status": {
"type": "string",
"enum": [
"error"
]
},
"error": {
"type": "string"
}
},
"required": [
"text",
"status",
"error"
],
"additionalProperties": false
}
]
}
}
},
"required": [
"valid",
"url",
"share_url",
"rows"
],
"additionalProperties": false
}🟢decode_graph_url(url)
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).
Input Schema
{
"type": "object",
"properties": {
"url": {
"type": "string",
"description": "An equation.io graph URL."
}
},
"required": [
"url"
]
}Output Schema
{
"type": "object",
"properties": {
"equations": {
"type": "array",
"items": {
"type": "string"
}
}
},
"required": [
"equations"
],
"additionalProperties": false
}🟢show_graph(equations)
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.
Input Schema
{
"type": "object",
"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)."
}
},
"required": [
"equations"
],
"additionalProperties": false
}Output Schema
{
"type": "object",
"properties": {
"valid": {
"type": "boolean"
},
"url": {
"type": "string",
"description": "Graph URL using a #-fragment."
},
"share_url": {
"type": "string",
"description": "Shareable /g/ graph URL."
},
"rows": {
"type": "array",
"items": {
"anyOf": [
{
"type": "object",
"properties": {
"text": {
"type": "string"
},
"status": {
"type": "string",
"enum": [
"ok"
]
},
"kind": {
"type": "string"
},
"animated": {
"type": "boolean"
},
"value": {
"type": "string"
},
"note": {
"type": "string"
},
"draggable": {
"type": "boolean"
}
},
"required": [
"text",
"status",
"kind"
],
"additionalProperties": false
},
{
"type": "object",
"properties": {
"text": {
"type": "string"
},
"status": {
"type": "string",
"enum": [
"error"
]
},
"error": {
"type": "string"
}
},
"required": [
"text",
"status",
"error"
],
"additionalProperties": false
}
]
}
}
},
"required": [
"valid",
"url",
"share_url",
"rows"
],
"additionalProperties": false
}Community
Evidence