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

3 31 honeycomb

+ Save concept

In 7-dimensional geometry, the 331 honeycomb is a uniform honeycomb, also given by Schläfli symbol and is composed of 321 and 7-simplex facets, with 56 and 576 of them respectively around each vertex. [1]

33 relations: Coxeter group, Coxeter–Dynkin diagram, Facet (geometry), Geometry, Gosset–Elte figures, Harold Scott MacDonald Coxeter, Hosohedron, Hyperplane, Isogonal figure, Kissing number problem, Neil Sloane, Rectified 5-simplexes, Schläfli symbol, Sphere packing, Tetrahedral prism, Tetrahedron, Triangle, Uniform 8-polytope, Vertex arrangement, Vertex figure, Voronoi diagram, Wythoff construction, 1 32 polytope, 1 33 honeycomb, 2 21 polytope, 2 31 polytope, 3 21 polytope, 5-cell, 5-orthoplex, 5-simplex, 6-demicube, 6-simplex, 7-simplex.

Christmas

Christmas is an annual festival commemorating the birth of Jesus Christ,Martindale, Cyril Charles.

New!!: 3 31 honeycomb and Christmas · See more »

Christmas and holiday season

The Christmas season, also called the festive season, or the holiday season (mainly in the U.S. and Canada; often simply called the holidays),, is an annually recurring period recognized in many Western and Western-influenced countries that is generally considered to run from late November to early January.

New!!: 3 31 honeycomb and Christmas and holiday season · See more »

Christmas Eve

Christmas Eve is the evening or entire day before Christmas Day, the festival commemorating the birth of Jesus.

New!!: 3 31 honeycomb and Christmas Eve · See more »

Christmas traditions

Christmas traditions vary from country to country.

New!!: 3 31 honeycomb and Christmas traditions · 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).

New!!: 3 31 honeycomb and Coxeter group · See more »

Coxeter–Dynkin diagram

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).

New!!: 3 31 honeycomb and Coxeter–Dynkin diagram · See more »

Facet (geometry)

In geometry, a facet is a feature of a polyhedron, polytope, or related geometric structure, generally of dimension one less than the structure itself.

New!!: 3 31 honeycomb and Facet (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.

New!!: 3 31 honeycomb and Geometry · See more »

Gosset–Elte figures

In geometry, the Gosset–Elte figures, named by Coxeter after Thorold Gosset and E. L. Elte, are a group of uniform polytopes which are not regular, generated by a Wythoff construction with mirrors all related by order-2 and order-3 dihedral angles.

New!!: 3 31 honeycomb and Gosset–Elte figures · See more »

Harold Scott MacDonald Coxeter

Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.

New!!: 3 31 honeycomb and Harold Scott MacDonald Coxeter · See more »

Hosohedron

In geometry, an ''n''-gonal hosohedron is a tessellation of lunes on a spherical surface, such that each lune shares the same two polar opposite vertices.

New!!: 3 31 honeycomb and Hosohedron · See more »

Hyperplane

In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space.

New!!: 3 31 honeycomb and Hyperplane · See more »

Isogonal figure

In geometry, a polytope (a polygon, polyhedron or tiling, for example) is isogonal or vertex-transitive if all its vertices are equivalent under the symmetries of the figure.

New!!: 3 31 honeycomb and Isogonal figure · See more »

Kissing number problem

In geometry, a kissing number is defined as the number of non-overlapping unit spheres that can be arranged such that they each touch another given unit sphere.

New!!: 3 31 honeycomb and Kissing number problem · See more »

Neil Sloane

Neil James Alexander Sloane (born October 10, 1939) is a British-American mathematician.

New!!: 3 31 honeycomb and Neil Sloane · See more »

New Year

New Year is the time or day at which a new calendar year begins and the calendar's year count increments by one.

New!!: 3 31 honeycomb and New Year · See more »

New Year's Day

New Year's Day, also called simply New Year's or New Year, is observed on January 1, the first day of the year on the modern Gregorian calendar as well as the Julian calendar.

New!!: 3 31 honeycomb and New Year's Day · See more »

New Year's Eve

In the Gregorian calendar, New Year's Eve (also known as Old Year's Day or Saint Sylvester's Day in many countries), the last day of the year, is on 31 December which is the seventh day of Christmastide.

New!!: 3 31 honeycomb and New Year's Eve · See more »

Rectified 5-simplexes

In five-dimensional geometry, a rectified 5-simplex is a convex uniform 5-polytope, being a rectification of the regular 5-simplex.

New!!: 3 31 honeycomb and Rectified 5-simplexes · See more »

Schläfli symbol

In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.

New!!: 3 31 honeycomb and Schläfli symbol · See more »

Sphere packing

In geometry, a sphere packing is an arrangement of non-overlapping spheres within a containing space.

New!!: 3 31 honeycomb and Sphere packing · See more »

Tetrahedral prism

In geometry, a tetrahedral prism is a convex uniform 4-polytope.

New!!: 3 31 honeycomb and Tetrahedral prism · 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.

New!!: 3 31 honeycomb and Tetrahedron · See more »

Triangle

A triangle is a polygon with three edges and three vertices.

New!!: 3 31 honeycomb and Triangle · See more »

Uniform 8-polytope

In eight-dimensional geometry, an eight-dimensional polytope or 8-polytope is a polytope contained by 7-polytope facets.

New!!: 3 31 honeycomb and Uniform 8-polytope · See more »

Vertex arrangement

In geometry, a vertex arrangement is a set of points in space described by their relative positions.

New!!: 3 31 honeycomb and Vertex arrangement · See more »

Vertex figure

In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.

New!!: 3 31 honeycomb and Vertex figure · See more »

Voronoi diagram

In mathematics, a Voronoi diagram is a partitioning of a plane into regions based on distance to points in a specific subset of the plane.

New!!: 3 31 honeycomb and Voronoi diagram · 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.

New!!: 3 31 honeycomb and Wythoff construction · See more »

1 32 polytope

In 7-dimensional geometry, 132 is a uniform polytope, constructed from the E7 group.

New!!: 3 31 honeycomb and 1 32 polytope · See more »

1 33 honeycomb

In 7-dimensional geometry, 133 is a uniform honeycomb, also given by Schläfli symbol, and is composed of 132''' facets.

New!!: 3 31 honeycomb and 1 33 honeycomb · See more »

2 21 polytope

In 6-dimensional geometry, the 221 polytope is a uniform 6-polytope, constructed within the symmetry of the E6 group.

New!!: 3 31 honeycomb and 2 21 polytope · See more »

2 31 polytope

In 7-dimensional geometry, 231 is a uniform polytope, constructed from the E7 group.

New!!: 3 31 honeycomb and 2 31 polytope · See more »

2018

2018 has been designated as the third International Year of the Reef by the International Coral Reef Initiative.

New!!: 3 31 honeycomb and 2018 · See more »

2019

2019 (MMXIX) will be a common year starting on Tuesday of the Gregorian calendar, the 2019th year of the Common Era (CE) and Anno Domini (AD) designations, the 19th year of the 3rd millennium, the 19th year of the 21st century, and the 10th and last year of the 2010s decade.

New!!: 3 31 honeycomb and 2019 · See more »

3 21 polytope

In 7-dimensional geometry, the 321 polytope is a uniform 7-polytope, constructed within the symmetry of the E7 group.

New!!: 3 31 honeycomb and 3 21 polytope · See more »

5-cell

In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.

New!!: 3 31 honeycomb and 5-cell · See more »

5-orthoplex

In five-dimensional geometry, a 5-orthoplex, or 5-cross polytope, is a five-dimensional polytope with 10 vertices, 40 edges, 80 triangle faces, 80 tetrahedron cells, 32 5-cell 4-faces.

New!!: 3 31 honeycomb and 5-orthoplex · See more »

5-simplex

In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.

New!!: 3 31 honeycomb and 5-simplex · See more »

6-demicube

In geometry, a 6-demicube or demihexteract is a uniform 6-polytope, constructed from a 6-cube (hexeract) with alternated vertices removed.

New!!: 3 31 honeycomb and 6-demicube · See more »

6-simplex

In geometry, a 6-simplex is a self-dual regular 6-polytope.

New!!: 3 31 honeycomb and 6-simplex · See more »

7-simplex

In 7-dimensional geometry, a 7-simplex is a self-dual regular 7-polytope.

New!!: 3 31 honeycomb and 7-simplex · See more »

Redirects here:

E7 honeycomb, E7 lattice, Gosset 3 31 honeycomb.

References

[1] https://en.wikipedia.org/wiki/3_31_honeycomb

OutgoingIncoming
Hey! We are on Facebook now! »