User:Tomruen/uniform polytopes and tessellations
This user subpage is an attempt to index articles related to uniform polytopes and tessellations.
Symmetry
[edit]- List of spherical symmetry groups
- Orbifold notation
- List of planar symmetry groups
- Crystallographic point group
- Wallpaper group
- Frieze group
- Coxeter group
- Weyl group
- Symmetric group
- Fundamental domain
- Wythoff construction
- Schwarz triangle
Polytopes
[edit]Tessellations
[edit]Categories
[edit]- Category:Geometry stubs
- Polygon
- Polyhedra
- Category:Platonic solids
- Category:Archimedean solids
- Category:Kepler-Poinsot polyhedra
- Category:Uniform polyhedra
- Category:Prismatoid polyhedra
- Category:Tiling
- Category:Quasiregular polyhedra
- Category:Johnson solids
- Category:Pyramids and bipyramids
- Category:Polyhedral stellation
- Category:Polyhedral compounds
- Category:Deltahedra
- Category:Chiral polyhedra
- Category:Zonohedra
- Category:Self-dual polyhedra
- Category:Catalan solids
- Category:Polyhedra templates
- Tilings
- Polytope
- Category:Polytopes
- Category:4-dimensional geometry
- Polyhedron images
Templates
[edit]Terminology, operations, properties
[edit]- Notations
- Operations
- Properties
- Definitions
- Vertex
- Face (geometry) - polygon in 3-space
- Ridge (geometry) (n-2)-polytope in n-space
- Peak (geometry)
- Facet (mathematics) (n-1)-polytope in n-space
- Cell (geometry) - polyhedron in 4-space
- Dihedral angle
Space
[edit]- Topology
- Graph (mathematics)
- Manifold
- Euclidean geometry
- Non-Euclidean geometry
- Elliptic geometry
- Riemannian geometry
- Spherical geometry
- Hyperbolic geometry
- Euclidean space
- Riemannian manifold
Polygons
[edit]Polyhedra
[edit]Uniform polyhedra
[edit]- Polyhedron
Uniform polyhedra duals
[edit]Tilings
[edit]- Uniform tilings
Uniform polychora and duals
[edit]- Polychoron
- Uniform polychora
Uniform 3d honeycombs
[edit]- Honeycomb (geometry)
- Uniform honeycombs