Communication
Free
Faster access than browser!

# 5-orthoplex and Vertex figure

## Difference between 5-orthoplex and Vertex figure

### 5-orthoplex vs. Vertex figure

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

## Similarities between 5-orthoplex and Vertex figure

5-orthoplex and Vertex figure have 9 things in common (in Unionpedia): Dual polyhedron, Face (geometry), Facet (geometry), Geometry, Harold Scott MacDonald Coxeter, Schläfli symbol, Schlegel diagram, Triangle, Vertex (geometry).

### Dual polyhedron

In geometry, polyhedra are associated into pairs called duals, where the vertices of one correspond to the faces of the other.

### 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.

### 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.

### 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.

### Harold Scott MacDonald Coxeter

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

### Schläfli symbol

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

### Schlegel diagram

In geometry, a Schlegel diagram is a projection of a polytope from R^d into R^ through a point beyond one of its facets or faces.

### Triangle

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

### Vertex (geometry)

In geometry, a vertex (plural vertices) is a special kind of point that describes the corners or intersections of geometric shapes.

### The list above answers the following questions

• What 5-orthoplex and Vertex figure have in common
• What are the similarities between 5-orthoplex and Vertex figure

## 5-orthoplex and Vertex figure Comparison

5-orthoplex has 36 relations, while Vertex figure has 33. As they have in common 9, the Jaccard index is 13.04% = 9 / (36 + 33).

## References

This article shows the relationship between 5-orthoplex and Vertex figure. To access each article from which the information was extracted, please visit:

Hey! We are on Facebook now! »