Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Install
Faster access than browser!
 

Convex uniform honeycomb and Coxeter–Dynkin diagram

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Convex uniform honeycomb and Coxeter–Dynkin diagram

Convex uniform honeycomb vs. Coxeter–Dynkin diagram

In geometry, a convex uniform honeycomb is a uniform tessellation which fills three-dimensional Euclidean space with non-overlapping convex uniform polyhedral cells. In geometry, a Coxeter–Dynkin diagram (or Coxeter diagram, Coxeter graph) is a graph with numerically labeled edges (called branches) representing the spatial relations between a collection of mirrors (or reflecting hyperplanes).

Similarities between Convex uniform honeycomb and Coxeter–Dynkin diagram

Convex uniform honeycomb and Coxeter–Dynkin diagram have 18 things in common (in Unionpedia): Alternation (geometry), Coxeter group, Euclidean tilings by convex regular polygons, Face (geometry), Geometry, List of convex uniform tilings, Norman Johnson (mathematician), PDF, Prism (geometry), Pyramid (geometry), Square tiling, Tetrahedron, Triangular prism, Uniform 4-polytope, Uniform polyhedron, Uniform polytope, Uniform tiling, Wythoff construction.

Alternation (geometry)

In geometry, an alternation or partial truncation, is an operation on a polygon, polyhedron, tiling, or higher dimensional polytope that removes alternate vertices.

Alternation (geometry) and Convex uniform honeycomb · Alternation (geometry) and Coxeter–Dynkin diagram · See more »

Coxeter group

In mathematics, a Coxeter group, named after H. S. M. Coxeter, is an abstract group that admits a formal description in terms of reflections (or kaleidoscopic mirrors).

Convex uniform honeycomb and Coxeter group · Coxeter group and Coxeter–Dynkin diagram · See more »

Euclidean tilings by convex regular polygons

Euclidean plane tilings by convex regular polygons have been widely used since antiquity.

Convex uniform honeycomb and Euclidean tilings by convex regular polygons · Coxeter–Dynkin diagram and Euclidean tilings by convex regular polygons · See more »

Face (geometry)

In solid geometry, a face is a flat (planar) surface that forms part of the boundary of a solid object; a three-dimensional solid bounded exclusively by flat faces is a polyhedron.

Convex uniform honeycomb and Face (geometry) · Coxeter–Dynkin diagram and Face (geometry) · See more »

Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

Convex uniform honeycomb and Geometry · Coxeter–Dynkin diagram and Geometry · See more »

List of convex uniform tilings

This table shows the 11 convex uniform tilings (regular and semiregular) of the Euclidean plane, and their dual tilings.

Convex uniform honeycomb and List of convex uniform tilings · Coxeter–Dynkin diagram and List of convex uniform tilings · See more »

Norman Johnson (mathematician)

Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.

Convex uniform honeycomb and Norman Johnson (mathematician) · Coxeter–Dynkin diagram and Norman Johnson (mathematician) · See more »

PDF

The Portable Document Format (PDF) is a file format developed in the 1990s to present documents, including text formatting and images, in a manner independent of application software, hardware, and operating systems.

Convex uniform honeycomb and PDF · Coxeter–Dynkin diagram and PDF · See more »

Prism (geometry)

In geometry, a prism is a polyhedron comprising an n-sided polygonal base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases.

Convex uniform honeycomb and Prism (geometry) · Coxeter–Dynkin diagram and Prism (geometry) · See more »

Pyramid (geometry)

In geometry, a pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex.

Convex uniform honeycomb and Pyramid (geometry) · Coxeter–Dynkin diagram and Pyramid (geometry) · See more »

Square tiling

In geometry, the square tiling, square tessellation or square grid is a regular tiling of the Euclidean plane.

Convex uniform honeycomb and Square tiling · Coxeter–Dynkin diagram and Square tiling · See more »

Tetrahedron

In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.

Convex uniform honeycomb and Tetrahedron · Coxeter–Dynkin diagram and Tetrahedron · See more »

Triangular prism

In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides.

Convex uniform honeycomb and Triangular prism · Coxeter–Dynkin diagram and Triangular prism · See more »

Uniform 4-polytope

In geometry, a uniform 4-polytope (or uniform polychoron) is a 4-polytope which is vertex-transitive and whose cells are uniform polyhedra, and faces are regular polygons.

Convex uniform honeycomb and Uniform 4-polytope · Coxeter–Dynkin diagram and Uniform 4-polytope · See more »

Uniform polyhedron

A uniform polyhedron is a polyhedron which has regular polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i.e. there is an isometry mapping any vertex onto any other).

Convex uniform honeycomb and Uniform polyhedron · Coxeter–Dynkin diagram and Uniform polyhedron · See more »

Uniform polytope

A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.

Convex uniform honeycomb and Uniform polytope · Coxeter–Dynkin diagram and Uniform polytope · See more »

Uniform tiling

In geometry, a uniform tiling is a tessellation of the plane by regular polygon faces with the restriction of being vertex-transitive.

Convex uniform honeycomb and Uniform tiling · Coxeter–Dynkin diagram and Uniform tiling · See more »

Wythoff construction

In geometry, a Wythoff construction, named after mathematician Willem Abraham Wythoff, is a method for constructing a uniform polyhedron or plane tiling.

Convex uniform honeycomb and Wythoff construction · Coxeter–Dynkin diagram and Wythoff construction · See more »

The list above answers the following questions

Convex uniform honeycomb and Coxeter–Dynkin diagram Comparison

Convex uniform honeycomb has 89 relations, while Coxeter–Dynkin diagram has 117. As they have in common 18, the Jaccard index is 8.74% = 18 / (89 + 117).

References

This article shows the relationship between Convex uniform honeycomb and Coxeter–Dynkin diagram. To access each article from which the information was extracted, please visit:

Hey! We are on Facebook now! »