there are 48 regular polyhedra

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jan Misali
Published at : 26 Jan 2021
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a comprehensive list of all 48 regular polyhedra in 3D Euclidean space

primary source: https://link.springer.com/article/10.1007%2FPL00009304

bgm: https://queerduckrecords.bandcamp.com/track/apeirohedron

visualization tool for the shapes in this video: https://cpjsmith.uk/regularpolyhedra

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0:00 - introduction
1:06 - part one: what?
4:06 - part two: the platonic solids
6:21 - part three: the Kepler solids
9:00 - part four: the Kepler-Poinsot polyhedra
11:26 - part five: the regular tilings
13:15 - part six: the Petrie-Coxeter polyhedra
16:51 - part seven: the Petrials
21:08 - part eight: the blended apeirohedra
22:39 - part nine: the pure Grünbaum-Dress polyhedra
25:03 - part ten: summary
jan Misaligeometrymath

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