Catalan solid

A rhombic dodecahedron with its face configuration

In mathematics, a Catalan solid, or Archimedean dual, is a dual polyhedron to an Archimedean solid. The Catalan solids are named for the Belgian mathematician, Eugène Catalan, who first described them in 1865.

The Catalan solids are all convex. They are face-transitive but not vertex-transitive. This is because the dual Archimedean solids are vertex-transitive and not face-transitive. Note that unlike Platonic solids and Archimedean solids, the faces of Catalan solids are not regular polygons. However, the vertex figures of Catalan solids are regular, and they have constant dihedral angles. Being face-transitive, Catalan solids are isohedra.

单词	Catalan polyhedra
释义	Catalan polyhedra 英语百科 Catalan solid In mathematics, a Catalan solid, or Archimedean dual, is a dual polyhedron to an Archimedean solid. The Catalan solids are named for the Belgian mathematician, Eugène Catalan, who first described them in 1865. The Catalan solids are all convex. They are face-transitive but not vertex-transitive. This is because the dual Archimedean solids are vertex-transitive and not face-transitive. Note that unlike Platonic solids and Archimedean solids, the faces of Catalan solids are not regular polygons. However, the vertex figures of Catalan solids are regular, and they have constant dihedral angles. Being face-transitive, Catalan solids are isohedra.
随便看	Nonopioid Analgesics的意思 nonopioids的意思 nonopportunistic的意思 nonopposable的意思 nonopposed的意思 nonopposing的意思 nonopposition的意思 non opposition的意思 nonoppositional的意思 nonoppressed的意思 nonoppression的意思 nonoppressive的意思 nonopsonic的意思 nonopsonized的意思 nonopsonizing的意思 nonoptical的意思 non optical propagation的意思 nonoptimal的意思 nonoptimal course的意思 nonoptimality的意思 nonoptimal output coupling的意思 nonoptimal path的意思 nonoptimal value的意思 nonoptimizable的意思 nonoptimized的意思

Catalan polyhedra

Catalan solid