mathgraphs

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

Set viewport ({xmin, xmax, ymin, ymax}) to your data's magnitude — omit it and the server auto-fits the window to the elements.

Iterate with base_render_id (+ remove_indices) rather than re-sending every element. Each result reports what actually rendered, so act on any graph check it returns.

analyze — Precise Numerical Results

Compute exact values instead of doing the arithmetic yourself: roots, extrema, inflections, intersect, tangent, normal, derivative, integral, area_between, arc_length, closest_point.

Input: type (required), f (required), plus g (second expression, for intersect/area_between), x (point of interest, for tangent/normal/derivative), a/b (range, default -10..10), px/py (for closest_point).

Works with explicit, parametric, polar, and implicit curves.