there are 48 regular polyhedra

a comprehensive list of all 48 regular polyhedra in 3D Euclidean space primary source: bgm: visualization tool for the shapes in this video: 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