Description
In geometry, a dodecahedron is a polyhedron with twelve flat faces. The most familiar is the regular Platonic solid dodecahedron. A Platonic solid is a three-dimensional polyhedron constructed by polygonal faces identical in size and shape, with all angles and sides equal, and with the same number of faces meeting at each vertex. The five Platonic solids include the tetrahedron (four faces), cube (six faces), octahedron (eight faces), dodecahedron (12 faces), and icosahedron (20 faces). They are named for the ancient Greek philosopher Plato who hypothesized that the classical elements were made of them. However, some sources credit Pythagoras with their discovery. Euclid described the Platonic solids in his ancient mathematical treatise, Elements. In the 16th century, the German astronomer Johannes Kepler attempted to relate the five known planets at the time to the five Platonic solids in Mysterium Cosmographicum, published in 1596.
References:
Hart, George W. “Leonardo da Vinci’s Polyhedra.” Virtual Polyhedra. 1999. https://www.georgehart.com/virtual-polyhedra/leonardo.html (1 May 2019).
“Platonic solid.” Wikipedia. 17 March 2019. https://en.wikipedia.org/wiki/Platonic_solid (1 May 2019).
