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Isogonal figure and Regular icosahedron

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

Difference between Isogonal figure and Regular icosahedron

Isogonal figure vs. Regular icosahedron

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 geometry, a regular icosahedron is a convex polyhedron with 20 faces, 30 edges and 12 vertices.

Similarities between Isogonal figure and Regular icosahedron

Isogonal figure and Regular icosahedron have 12 things in common (in Unionpedia): Dual polyhedron, Face (geometry), Facet (geometry), Geometry, Isometry, Polyhedron, Polytope, Regular polyhedron, Symmetry group, Tetrahedral symmetry, Uniform coloring, Vertex arrangement.

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 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.

Face (geometry) and Isogonal figure · 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.

Facet (geometry) and Isogonal figure · 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.

Geometry and Isogonal figure · Geometry and Regular icosahedron · See more »

Isometry

In mathematics, an isometry (or congruence, or congruent transformation) is a distance-preserving transformation between metric spaces, usually assumed to be bijective.

Isogonal figure and Isometry · Isometry and Regular icosahedron · 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 Regular icosahedron · See more »

Polytope

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

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

Regular polyhedron

A regular polyhedron is a polyhedron whose symmetry group acts transitively on its flags.

Isogonal figure and Regular polyhedron · Regular icosahedron and Regular polyhedron · See more »

Symmetry group

In group theory, the symmetry group of an object (image, signal, etc.) is the group of all transformations under which the object is invariant with composition as the group operation.

Isogonal figure and Symmetry group · Regular icosahedron and Symmetry group · See more »

Tetrahedral symmetry

A regular tetrahedron, an example of a solid with full tetrahedral symmetry A regular tetrahedron has 12 rotational (or orientation-preserving) symmetries, and a symmetry order of 24 including transformations that combine a reflection and a rotation.

Isogonal figure and Tetrahedral symmetry · Regular icosahedron and Tetrahedral symmetry · See more »

Uniform coloring

In geometry, a uniform coloring is a property of a uniform figure (uniform tiling or uniform polyhedron) that is colored to be vertex-transitive.

Isogonal figure and Uniform coloring · Regular icosahedron and Uniform coloring · See more »

Vertex arrangement

In geometry, a vertex arrangement is a set of points in space described by their relative positions.

Isogonal figure and Vertex arrangement · Regular icosahedron and Vertex arrangement · See more »

The list above answers the following questions

Isogonal figure and Regular icosahedron Comparison

Isogonal figure has 50 relations, while Regular icosahedron has 163. As they have in common 12, the Jaccard index is 5.63% = 12 / (50 + 163).

References

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

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