A Catalan body or dual Archimedean body is a body that is dual to an Archimedean body. For example, the rhombic dodecahedron is dual to the cuboctahedron. The Catalan solids - of which there are 13 - are named after the Belgian mathematician Eugène Charles Catalan.
archimedean
convex polyhedra with the following properties: their side faces are regular polygons, all the vertices of the body behave completely identically to each other, and they are neither Platonic solids nor prisms or antiprisms.
platonic
polyhedra with the greatest possible symmetry. Each of them is bounded by several congruent plane regular polygons. Another name is regular solids. There are five Platonic solids.
Keine Kommentare