The Five Platonic Solids

The complete set of convex regular polyhedra — the only five solids whose faces are all identical regular polygons meeting alike at every vertex. Each row lists the face polygon, the vertex / edge / face counts, the Schläfli symbol {p,q}, the dual solid, and the Euler characteristic V − E + F (always 2). Counts are read live at build time from OnlyCSharp.Data.Catalogs.Mathematics.Algebra.AbstractAlgebra.PlatonicSolidCatalog.All; the Schläfli symbol, dual, and Euler value are computed from those counts at render time. Authored as .razor; rendered to static HTML.

Source: Coxeter, Regular Polytopes (1973 Dover ed.), Table I. Mathematical facts (counts, symbols) are not copyrightable; each row links to its English Wikipedia article. See the leaf source header.