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Schwarz triangle and Uniform star polyhedron

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

Difference between Schwarz triangle and Uniform star polyhedron

Schwarz triangle vs. Uniform star polyhedron

In geometry, a Schwarz triangle, named after Hermann Schwarz, is a spherical triangle that can be used to tile a sphere, possibly overlapping, through reflections in its edges. In geometry, a uniform star polyhedron is a self-intersecting uniform polyhedron.

Similarities between Schwarz triangle and Uniform star polyhedron

Schwarz triangle and Uniform star polyhedron have 7 things in common (in Unionpedia): Density (polytope), Geometry, Icosahedral symmetry, List of uniform polyhedra by Schwarz triangle, Octahedral symmetry, Tetrahedral symmetry, Uniform polyhedron.

Density (polytope)

In geometry, the density of a polytope represents the number of windings of a polytope, particularly a uniform or regular polytope, around its center.

Density (polytope) and Schwarz triangle · Density (polytope) and Uniform star polyhedron · 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 Schwarz triangle · Geometry and Uniform star polyhedron · See more »

Icosahedral symmetry

A regular icosahedron has 60 rotational (or orientation-preserving) symmetries, and a symmetry order of 120 including transformations that combine a reflection and a rotation.

Icosahedral symmetry and Schwarz triangle · Icosahedral symmetry and Uniform star polyhedron · See more »

List of uniform polyhedra by Schwarz triangle

There are many relationships among the uniform polyhedra.

List of uniform polyhedra by Schwarz triangle and Schwarz triangle · List of uniform polyhedra by Schwarz triangle and Uniform star polyhedron · See more »

Octahedral symmetry

A regular octahedron has 24 rotational (or orientation-preserving) symmetries, and a symmetry order of 48 including transformations that combine a reflection and a rotation.

Octahedral symmetry and Schwarz triangle · Octahedral symmetry and Uniform star polyhedron · 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.

Schwarz triangle and Tetrahedral symmetry · Tetrahedral symmetry and Uniform star polyhedron · See more »

Uniform 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).

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The list above answers the following questions

Schwarz triangle and Uniform star polyhedron Comparison

Schwarz triangle has 39 relations, while Uniform star polyhedron has 103. As they have in common 7, the Jaccard index is 4.93% = 7 / (39 + 103).

References

This article shows the relationship between Schwarz triangle and Uniform star polyhedron. To access each article from which the information was extracted, please visit:

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