Rotating Simplex R³

From RETROSPECTIVE FUTURE - Custom generative engine

A regular tetrahedron - the simplest convex polytope in Euclidean 3-space, defined by four vertices, six edges, and four equilateral triangular faces - subjected to continuous rigid body rotation via successive application of orthogonal transformation matrices within the special orthogonal group SO(3). Each rendered frame constitutes a discrete sampling of a smooth rotational trajectory, preserving metric structure, angular relationships, and chirality throughout the full period of revolution. The chromatic differentiation of facial planes serves as a visual index of surface normal orientation relative to a fixed light vector, rendering the otherwise abstract rotational symmetry group Td perceptually accessible. MP4 · 1 of 1 · 6 sec · 640 × 480 px · 60 fps · 384 KB