Model Perspective
May 19, 2024 · Fundamentals
Can a Square Exist on Curved Surfaces? Exploring Geometry Beyond the Plane
This article examines the definition of a square, explains why in Euclidean plane a square must have four equal sides and right angles, and then explores how curvature on spherical and hyperbolic surfaces allows shapes with equal edges and right angles to have three, two, or more sides, illustrating concepts of curvature and geodesics.
curvaturegeometryhyperbolic geometry
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