Star body
The star bodies are the non-convex regular polyhedra .
The first two star bodies were first described by Johannes Kepler in 1619 ; One of the first depictions in the 12th century appears on a mural in the Boris and Gleb Church in Kidekscha , further sources on this in the 15th century on a mosaic by Paolo Uccello , and two from around 1809 by Louis Poinsot . 1568 in the book Perspectivia Corporum Regularium by Wenzel Jamnitzer there is an illustration of the great dodecahedron .
Augustin Louis Cauchy proved in 1810 that there could be no other regular polyhedra. In 1990 an error was found in the definition of regularity used by Poinsot and Cauchy.