The flat torus obtained by identifying opposite sides of a square, with its intrinsic Euclidean metric
This program visualizes the flat (square) torus, the surface obtained by identifying opposite edges of a unit square. Unlike the standard donut-shaped embedding of a torus in R^3, which necessarily has curvature, this visualization represents the intrinsically flat metric inherited from the Euclidean plane. The program renders the torus and its geometric properties, illustrating how a flat metric can exist on a surface of genus one.
Controls: Click and drag to orbit, scroll to zoom.
