User:Tomruen/uniform polytopes and tessellations

This user subpage is an attempt to index articles related to uniform polytopes and tessellations.

Symmetry

 * List of spherical symmetry groups
 * Tetrahedral symmetry
 * Octahedral symmetry
 * Icosahedral symmetry
 * Dihedral group
 * 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

 * Polytope
 * Simplex
 * Measure polytope
 * Cross-polytope
 * Regular polytope
 * List of regular polytopes
 * List of polygons, polyhedra and polytopes
 * Convex hull

Tessellations

 * Tessellation
 * Uniform tessellation

Categories

 * Category:Geometry stubs
 * Polygon
 * Category:Polygons
 * 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
 * Category:Tiling
 * Category:Honeycomb image
 * Polytope
 * Category:Polytopes
 * Category:4-dimensional geometry
 * Polyhedron images
 * Category:Periodic tiling image
 * Category:Polyhedral image

Templates

 * Template:Polyhedron types

Terminology, operations, properties

 * Notations
 * Schläfli symbol
 * Vertex configuration
 * Vertex figure
 * Face configuration
 * Root system
 * Operations
 * Truncation (geometry)
 * Rectification (geometry)
 * Runcination (geometry)
 * Omnitruncation (geometry)
 * Snub (geometry)
 * Dual polyhedron
 * Properties
 * Euler characteristic
 * Genus (mathematics)
 * Chirality (mathematics)
 * Orientability
 * Defect (geometry)
 * Convex
 * Nonconvex
 * 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

 * Topology
 * Graph (mathematics)
 * Graph theory
 * Dual graph
 * Manifold
 * Euclidean geometry
 * Non-Euclidean geometry
 * Elliptic geometry
 * Riemannian geometry
 * Spherical geometry
 * Hyperbolic geometry
 * Euclidean space
 * Riemannian manifold

Polygons

 * Polygon
 * Star polygon
 * Simple polygon
 * Convex polygon
 * Complex polygon
 * Triangle
 * Quadrilateral
 * Square (geometry)
 * Rectangle
 * Rhombus
 * Parallelogram
 * Geometric kite
 * Isosceles trapezoid
 * trapezoid
 * Cyclic quadrilateral

Polyhedra

 * Polyhedron
 * Polyhedron model
 * Zonohedron
 * Stellation
 * Johnson solid Convex
 * Near-miss Johnson solid
 * List of rotational symmetry polyhedral sets
 * Deltahedron Triangles
 * Net (polyhedron)

Uniform polyhedra

 * Polyhedron
 * Uniform polyhedron
 * Platonic solid
 * Kepler-Poinsot solid
 * Archimedean solid
 * Semiregular polyhedra
 * Prism (geometry)
 * Antiprism
 * Polyhedral compound
 * List of uniform polyhedra
 * List of Wenninger polyhedron models
 * List of uniform polyhedra by Wythoff symbol
 * List of uniform polyhedra by spherical triangle
 * Snub polyhedron
 * Self-dual polyhedron
 * Prismatoid
 * Pyramid (geometry)
 * Cupola (geometry)

Uniform polyhedra duals

 * Duals
 * Catalan solid
 * Trapezohedron
 * Bipyramid

Tilings

 * Uniform tilings
 * Tiling by regular polygons
 * List of uniform planar tilings

Uniform polychora and duals

 * Polychoron
 * Uniform polychora
 * Regular polychora
 * Convex regular 4-polytope
 * Nonconvex regular polychora
 * Uniform polychoron
 * Semiregular 4-polytopes
 * Uniform polyhedral prism
 * Duoprism
 * Uniform Polychora Project

Uniform 3d honeycombs

 * Honeycomb (geometry)
 * Uniform honeycombs
 * Andreini tessellation