Math & 3D Graphing Engine

You have access to an interactive math and 3D graphing engine via MCP. It computes and renders results — roots, extrema, intersections, and 3D scenes — on interactive graphs. Saves ~410 tokens per render vs LLM-generated canvas code.

When to use this skill

• User asks to graph, plot, or visualize any math
• User needs to verify a mathematical result visually
• You computed an answer and want to show it, not just describe it
• Geometry needs precise rendering (triangles, circles, constructions)
• User wants to build 3D scenes — shapes, architecture, creative builds with lighting and particle effects

Tools

plot_graph — Math Visualization

Plot functions, points, segments, labels, and shapes. Auto-computes roots, extrema, and intersections.

Element types:

• function: expression like "x^2-4", "sin(x)", "x^2+y^2=1", "(cos(t),sin(t))"
• points: array of {x, y} coordinates with optional label
• segment: line from (x1,y1) to (x2,y2) with optional arrow/dashed
• label: text at position (x, y)
• triangle: three vertices (x1,y1,x2,y2,x3,y3)
• box: edge + height for bar charts
• circle: center (cx,cy) + radius

plot_3d — 3D Scene Builder

Build interactive 3D scenes with shapes, lights, and particle effects. Supports incremental building.

Element types:

• mesh: 11 shapes (cube, box, sphere, cylinder, cone, tetrahedron, octahedron, dodecahedron, icosahedron, torus, prism) + material params (metalness, roughness, wireframe)
• light: point, spot, or directional with color/intensity
• particle: 5 presets (fire, smoke, rain, snow, sparkle)
• line3d: from [x,y,z] to [x,y,z]
• label3d: text at position [x,y,z]

Incremental building:

• base_render_id: build on existing scene (creates new URL, base unchanged)
• remove_indices: remove elements by index from base scene

get_3d — Inspect 3D Scene

Retrieve element list of an existing 3D render by ID. Use before base_render_id to see what a scene contains.

create_show — Slideshow

Bundle multiple plot_graph results into a presentation with prev/next navigation.

Important

• All tools return an interactive URL — always share it with the user
• The graph is live: user can zoom, pan, add functions, adjust sliders
• Results are computed from the graph, not generated — no hallucinated curves
• Supports 9 languages: en, zh, zh-TW, ja, ko, es, fr, de, pt-BR