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16-cell and Face (geometry)

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

Difference between 16-cell and Face (geometry)

16-cell vs. Face (geometry)

In four-dimensional geometry, a 16-cell is a regular convex 4-polytope. 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.

Similarities between 16-cell and Face (geometry)

16-cell and Face (geometry) have 15 things in common (in Unionpedia): Convex polytope, Cube, Cubic honeycomb, Edge (geometry), Face (geometry), Norman Johnson (mathematician), Order-4 dodecahedral honeycomb, Polyhedral combinatorics, Regular 4-polytope, Schläfli symbol, Tessellation, Tesseract, Vertex (geometry), Vertex figure, 4-polytope.

Convex polytope

A convex polytope is a special case of a polytope, having the additional property that it is also a convex set of points in the n-dimensional space Rn.

16-cell and Convex polytope · Convex polytope and Face (geometry) · See more »

Cube

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.

16-cell and Cube · Cube and Face (geometry) · See more »

Cubic honeycomb

The cubic honeycomb or cubic cellulation is the only regular space-filling tessellation (or honeycomb) in Euclidean 3-space, made up of cubic cells.

16-cell and Cubic honeycomb · Cubic honeycomb and Face (geometry) · See more »

Edge (geometry)

In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope.

16-cell and Edge (geometry) · Edge (geometry) and Face (geometry) · 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.

16-cell and Face (geometry) · Face (geometry) and Face (geometry) · See more »

Norman Johnson (mathematician)

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

16-cell and Norman Johnson (mathematician) · Face (geometry) and Norman Johnson (mathematician) · See more »

Order-4 dodecahedral honeycomb

In the geometry of hyperbolic 3-space, the order-4 dodecahedral honeycomb is one of four compact regular space-filling tessellations (or honeycombs).

16-cell and Order-4 dodecahedral honeycomb · Face (geometry) and Order-4 dodecahedral honeycomb · See more »

Polyhedral combinatorics

Polyhedral combinatorics is a branch of mathematics, within combinatorics and discrete geometry, that studies the problems of counting and describing the faces of convex polyhedra and higher-dimensional convex polytopes.

16-cell and Polyhedral combinatorics · Face (geometry) and Polyhedral combinatorics · See more »

Regular 4-polytope

In mathematics, a regular 4-polytope is a regular four-dimensional polytope.

16-cell and Regular 4-polytope · Face (geometry) and Regular 4-polytope · See more »

Schläfli symbol

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

16-cell and Schläfli symbol · Face (geometry) and Schläfli symbol · See more »

Tessellation

A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps.

16-cell and Tessellation · Face (geometry) and Tessellation · See more »

Tesseract

In geometry, the tesseract is the four-dimensional analogue of the cube; the tesseract is to the cube as the cube is to the square.

16-cell and Tesseract · Face (geometry) and Tesseract · See more »

Vertex (geometry)

In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.

16-cell and Vertex (geometry) · Face (geometry) and Vertex (geometry) · 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.

16-cell and Vertex figure · Face (geometry) and Vertex figure · See more »

4-polytope

In geometry, a 4-polytope (sometimes also called a polychoron, polycell, or polyhedroid) is a four-dimensional polytope.

16-cell and 4-polytope · 4-polytope and Face (geometry) · See more »

The list above answers the following questions

16-cell and Face (geometry) Comparison

16-cell has 72 relations, while Face (geometry) has 45. As they have in common 15, the Jaccard index is 12.82% = 15 / (72 + 45).

References

This article shows the relationship between 16-cell and Face (geometry). To access each article from which the information was extracted, please visit:

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