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

6-cube and Regular icosahedron

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

Difference between 6-cube and Regular icosahedron

6-cube vs. Regular icosahedron

In geometry, a 6-cube is a six-dimensional hypercube with 64 vertices, 192 edges, 240 square faces, 160 cubic cells, 60 tesseract 4-faces, and 12 5-cube 5-faces. In geometry, a regular icosahedron is a convex polyhedron with 20 faces, 30 edges and 12 vertices.

Similarities between 6-cube and Regular icosahedron

6-cube and Regular icosahedron have 15 things in common (in Unionpedia): Coxeter element, Coxeter group, Coxeter–Dynkin diagram, Dimension, Dual polyhedron, Face (geometry), Facet (geometry), Geometry, Golden ratio, Orthographic projection, Projection (linear algebra), Schläfli symbol, Vertex figure, 6-demicube, 6-orthoplex.

Coxeter element

In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.

6-cube and Coxeter element · Coxeter element and Regular icosahedron · 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).

6-cube and Coxeter group · Coxeter group and Regular icosahedron · 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).

6-cube and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Regular icosahedron · See more »

Dimension

In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.

6-cube and Dimension · Dimension and Regular icosahedron · See more »

Dual polyhedron

In geometry, any polyhedron is associated with a second dual figure, where the vertices of one correspond to the faces of the other and the edges between pairs of vertices of one correspond to the edges between pairs of faces of the other.

6-cube and Dual polyhedron · Dual polyhedron and Regular icosahedron · 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.

6-cube and Face (geometry) · Face (geometry) and Regular icosahedron · 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.

6-cube and Facet (geometry) · Facet (geometry) and Regular icosahedron · 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.

6-cube and Geometry · Geometry and Regular icosahedron · See more »

Golden ratio

In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.

6-cube and Golden ratio · Golden ratio and Regular icosahedron · See more »

Orthographic projection

Orthographic projection (sometimes orthogonal projection), is a means of representing three-dimensional objects in two dimensions.

6-cube and Orthographic projection · Orthographic projection and Regular icosahedron · See more »

Projection (linear algebra)

In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that.

6-cube and Projection (linear algebra) · Projection (linear algebra) and Regular icosahedron · See more »

Schläfli symbol

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

6-cube and Schläfli symbol · Regular icosahedron and Schläfli symbol · 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.

6-cube and Vertex figure · Regular icosahedron and Vertex figure · 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.

6-cube and 6-demicube · 6-demicube and Regular icosahedron · See more »

6-orthoplex

In geometry, a 6-orthoplex, or 6-cross polytope, is a regular 6-polytope with 12 vertices, 60 edges, 160 triangle faces, 240 tetrahedron cells, 192 5-cell 4-faces, and 64 5-faces.

6-cube and 6-orthoplex · 6-orthoplex and Regular icosahedron · See more »

The list above answers the following questions

6-cube and Regular icosahedron Comparison

6-cube has 48 relations, while Regular icosahedron has 163. As they have in common 15, the Jaccard index is 7.11% = 15 / (48 + 163).

References

This article shows the relationship between 6-cube and Regular icosahedron. To access each article from which the information was extracted, please visit:

Hey! We are on Facebook now! »