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Isogonal figure and Polytope

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

Difference between Isogonal figure and Polytope

Isogonal figure vs. Polytope

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. In elementary geometry, a polytope is a geometric object with "flat" sides.

Similarities between Isogonal figure and Polytope

Isogonal figure and Polytope have 17 things in common (in Unionpedia): Apeirogon, Branko Grünbaum, Dual polyhedron, Equilateral triangle, Face (geometry), Facet (geometry), Geoffrey Colin Shephard, Geometry, Honeycomb (geometry), Polygon, Polyhedron, Polytope, Regular polygon, Square, Square tiling, Uniform polytope, Vertex (geometry).

Apeirogon

In geometry, an apeirogon (from the Greek word ἄπειρος apeiros, "infinite, boundless" and γωνία gonia, "angle") is a generalized polygon with a countably infinite number of sides.

Apeirogon and Isogonal figure · Apeirogon and Polytope · See more »

Branko Grünbaum

Branko Grünbaum (ברנקו גרונבאום; born 2 October 1929) is a Yugoslavian-born mathematician and a professor emeritus at the University of Washington in Seattle.

Branko Grünbaum and Isogonal figure · Branko Grünbaum and Polytope · 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.

Dual polyhedron and Isogonal figure · Dual polyhedron and Polytope · See more »

Equilateral triangle

In geometry, an equilateral triangle is a triangle in which all three sides are equal.

Equilateral triangle and Isogonal figure · Equilateral triangle and Polytope · 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 Isogonal figure · Face (geometry) and Polytope · 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.

Facet (geometry) and Isogonal figure · Facet (geometry) and Polytope · See more »

Geoffrey Colin Shephard

Geoffrey Colin Shephard is a mathematician who works on convex geometry and reflection groups.

Geoffrey Colin Shephard and Isogonal figure · Geoffrey Colin Shephard and Polytope · 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.

Geometry and Isogonal figure · Geometry and Polytope · See more »

Honeycomb (geometry)

In geometry, a honeycomb is a space filling or close packing of polyhedral or higher-dimensional cells, so that there are no gaps.

Honeycomb (geometry) and Isogonal figure · Honeycomb (geometry) and Polytope · See more »

Polygon

In elementary geometry, a polygon is a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed polygonal chain or circuit.

Isogonal figure and Polygon · Polygon and Polytope · 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.

Isogonal figure and Polyhedron · Polyhedron and Polytope · See more »

Polytope

In elementary geometry, a polytope is a geometric object with "flat" sides.

Isogonal figure and Polytope · Polytope and Polytope · See more »

Regular polygon

In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).

Isogonal figure and Regular polygon · Polytope and Regular polygon · 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.

Isogonal figure and Square · Polytope and Square · See more »

Square tiling

In geometry, the square tiling, square tessellation or square grid is a regular tiling of the Euclidean plane.

Isogonal figure and Square tiling · Polytope and Square tiling · See more »

Uniform polytope

A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.

Isogonal figure and Uniform polytope · Polytope and Uniform polytope · See more »

Vertex (geometry)

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

Isogonal figure and Vertex (geometry) · Polytope and Vertex (geometry) · See more »

The list above answers the following questions

Isogonal figure and Polytope Comparison

Isogonal figure has 50 relations, while Polytope has 107. As they have in common 17, the Jaccard index is 10.83% = 17 / (50 + 107).

References

This article shows the relationship between Isogonal figure and Polytope. To access each article from which the information was extracted, please visit:

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