Skip to content
Free public beta until December 4, 2026: every course is open, no card needed. After that, the first chapter of each course stays free and full access is a one-time $39 ($19 for up to 100 founding members chosen for helpful feedback). Your progress is kept. How the beta works

convex hull

The smallest convex polygon that contains a shape's entire boundary.

A shape's convex hull is the smallest convex polygon containing every point of its boundary -- equivalently, the shape traced by stretching a rubber band around it. It is always at least as large as the shape's own contour, and the two coincide exactly when the shape is already convex.

Examples

  • A hand's contour has deep concave notches between the fingers, but its convex hull is one smooth shape stretched tight around the fingertips.

Read the full section →
Graph settings

Calculator