Platonic Solids: Misinterpretations and Correspondences

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Regular Polyhedra: Symmetries & Generation

Explores the properties of regular polyhedra, their symmetries, generation, and historical misconceptions.

Regular Polyhedra: Definitions and Symmetries

Explores the definitions and symmetries of regular polyhedra, focusing on the five known convex regular polyhedra from ancient times.

Regular Polyhedra: Definitions and Symmetries

Explores the definitions and symmetries of regular polyhedra, shedding light on ancient geometry and modern mathematical formalization.

Geometry: Course Overview & 5 Regular Polyhedra

Explores geometry basics, 5 regular polyhedra construction, and their link to ancient physics and planets.

Remeshing: Geometric Computing

Explores triangle meshes, Euler's formula, Platonic solids, and remeshing techniques in geometric computing.

Regular Polyhedra in Euclidean Geometry

Explores the historical background and properties of regular polyhedra in Euclidean geometry, including the construction of perfect even numbers and the proportionality of arcs and angles.

Symmetries of Regular Polyhedra

Explores the historical background and significance of symmetries in regular polyhedra, shedding new light on Euclid's Elements.

Polygons & Polyhedra: Regular & Starred

Explores polygons, polyhedra, regularity, and starred configurations in Euclidean geometry, highlighting historical context and limitations.

Crystal Symmetry: Axial Classes and Platonic Solids

Covers the seven types of axial crystal classes and the five Platonic solids.

Limitation to 5 Polyhedra

Explores the limitation to 5 faces of regular polyhedra and the construction of summit pyramids.