The platonic solids are a group of five three-dimensional solid shapes, each containing all congruent angles and sides. Also, if circumscribed with a sphere, all vertexes would touch the edge of the sphere. It was Euclid who would later prove in his book, entitled The Elements, that these are the only five shapes which actually fit this criteria the cube, dodecahedron, icosahedron, octahedron, and tetrahedron. Schläfli (1852) proved that there are exactly six regular bodies with Platonic properties (i.e., regular polytopes) in four dimensions, three in five dimensions, and three in all higher dimensions. However, his work (which contained no illustrations) remained practically unknown until it was partially published in English by Cayley (Schläfli 1858, 1860). Other mathematicians such as Stringham subsequently discovered similar results independently in 1880 and Schläfli’s work was published posthumously in its entirety in 1901 (Hovinga).

Sorry can’t really help anymore than that

the FLOWER of LIFE?