Geometry Visualizer

Computational geometry, drawn step by step

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Computational geometry turns points and lines into algorithms used in graphics, GIS and robotics. These visualizers let you place points and watch the convex hull form, the shoelace formula sum a polygon's area, or two segments test for intersection.

Browse Visualizers

Convex Hull Visualizer

Wraps the smallest convex polygon around a set of points.

Polygon Area Visualizer (Shoelace)

Computes polygon area from vertices with the shoelace formula.

Line Segment Intersection Visualizer

Detects whether and where two line segments cross.

Frequently asked questions

What is a convex hull?

The smallest convex polygon that contains all your points — like stretching a rubber band around them. It is a building block for many geometry and collision algorithms.

What is the shoelace formula?

A way to compute a polygon's area directly from its vertex coordinates by cross-multiplying them in sequence — fast and exact for any simple polygon.