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Face (geometry) and Uniform polyhedron

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

Difference between Face (geometry) and Uniform polyhedron

Face (geometry) vs. Uniform polyhedron

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. 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).

Similarities between Face (geometry) and Uniform polyhedron

Face (geometry) and Uniform polyhedron have 15 things in common (in Unionpedia): Abstract polytope, Convex polytope, Cube, Dodecahedron, Face (geometry), Kepler–Poinsot polyhedron, Norman Johnson (mathematician), Platonic solid, Polyhedron, Schläfli symbol, Square, Star polyhedron, Uniform tiling, Vertex (geometry), Vertex figure.

Abstract polytope

In mathematics, an abstract polytope is an algebraic partially ordered set or poset which captures the combinatorial properties of a traditional polytope, but not any purely geometric properties such as angles, edge lengths, etc.

Abstract polytope and Face (geometry) · Abstract polytope and Uniform polyhedron · See more »

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.

Convex polytope and Face (geometry) · Convex polytope and Uniform polyhedron · 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.

Cube and Face (geometry) · Cube and Uniform polyhedron · See more »

Dodecahedron

In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") is any polyhedron with twelve flat faces.

Dodecahedron and Face (geometry) · Dodecahedron and Uniform polyhedron · 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.

Face (geometry) and Face (geometry) · Face (geometry) and Uniform polyhedron · See more »

Kepler–Poinsot polyhedron

In geometry, a Kepler–Poinsot polyhedron is any of four regular star polyhedra.

Face (geometry) and Kepler–Poinsot polyhedron · Kepler–Poinsot polyhedron and Uniform polyhedron · See more »

Norman Johnson (mathematician)

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

Face (geometry) and Norman Johnson (mathematician) · Norman Johnson (mathematician) and Uniform polyhedron · See more »

Platonic solid

In three-dimensional space, a Platonic solid is a regular, convex polyhedron.

Face (geometry) and Platonic solid · Platonic solid and Uniform polyhedron · See more »

Polyhedron

In geometry, a polyhedron (plural polyhedra or polyhedrons) is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners or vertices.

Face (geometry) and Polyhedron · Polyhedron and Uniform polyhedron · See more »

Schläfli symbol

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

Face (geometry) and Schläfli symbol · Schläfli symbol and Uniform polyhedron · See more »

Square

In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or (100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted.

Face (geometry) and Square · Square and Uniform polyhedron · See more »

Star polyhedron

In geometry, a star polyhedron is a polyhedron which has some repetitive quality of nonconvexity giving it a star-like visual quality.

Face (geometry) and Star polyhedron · Star polyhedron and Uniform polyhedron · 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.

Face (geometry) and Uniform tiling · Uniform polyhedron and Uniform tiling · See more »

Vertex (geometry)

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

Face (geometry) and Vertex (geometry) · Uniform polyhedron 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.

Face (geometry) and Vertex figure · Uniform polyhedron and Vertex figure · See more »

The list above answers the following questions

Face (geometry) and Uniform polyhedron Comparison

Face (geometry) has 45 relations, while Uniform polyhedron has 127. As they have in common 15, the Jaccard index is 8.72% = 15 / (45 + 127).

References

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

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