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Examines three problems concerning shrinking polygons, shown with animations: 1) taking a unit circle and inscribing an equilateral triangle inside it and then inscribing a circle inside the triangle and...
Computer animation and a 3-D model of a perspectivity demonstrate that Euclidean, non-Euclidean and projective geometries are unified, and also distinguished by Klein’s view of each one as a space plus a...
Introduces the study of geometry via group theory, introducing this approach on three-dimensional Euclidean geometry.
Demonstrates some of the effects of perspective changes on plane geometrical figures, and shows how these are related to the ideas of projective geometry.
Looks in detail at on of the non-Euclidean geometries where there is no longer a unique line through a given point parallel to a given line. The example given is the Poincare disc, where lines are defines as...
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Learning on Screen