Mathematical Origami

Mathematical Origami

Platonic Solids

Platonic Solids are the most regular polyhedra: all faces are the same regular polygon, and they look the same at every vertex. The Greek philosopher Plato discovered that there are only five solids with these properties. He believed that the they correspond to the four ancient Elements, Earth, Water, Air and Fire, as well as the Universe.

TetrahedronCubeOctahedronDodecahedronIcosahedron

Archimedean Solids

Archimedean Solids, like the Platonic ones, consist of regular Polygons and look the same at every vertex. However the faces are multiple different regular polygons. There are 13 Archimedean Solids, two of which are reflections of each other. Explore 3D models on Polypad…

Truncated TetrahedronCuboctahedronTruncated HexahedronTruncated OctahedronRhombicuboctahedronTruncated CuboctahedronSnub CubeIcosidodecahedronTruncated DodecahedronTruncated IcosahedronRhombicosidodecahedronTruncated IcosidodecahedronSnub Dodecahedron

Stars and Compounds

Intersecting TetrahedraIntersecting CubesIntersecting DodecahedraIcosahedron and DodecahedronIcosahedron and IcosidodecahedronSpiked IcosahedronStellated IcosahedronTwo Tetrahedra and a Sunken CubeIntersection of Four CubesThree Cubes and Two Tetrahedra

Beautiful Origami

Origami BallWindmillIntersecting PlanesOrnamental OmegaDragons

Further Reading

Origami Axioms and ApplicationsPolygons and Polyhedra

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Folding InstructionsDownload Net

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