RADIUS AI EXPERIMENT

2D Shape Transformation Laboratory

Explore → Think → Theory → Understand · Discover how matrices move and reshape geometry.

Interactive Matrix Transformation

Choose a shape and operation. The blue outline is the original; the coral outline is the transformed shape. All coordinates are in Cartesian units.

OriginalTransformedAxes: 1 grid square = 1 unit

Transformation matrix

Homogeneous coordinates use [x, y, 1]ᵀ so translation and centre-based scaling fit into a 3×3 matrix.

Vertex calculations

Read the full theory, matrices and worked examples →