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Icosahedral honeycomb and Regular icosahedron

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

Difference between Icosahedral honeycomb and Regular icosahedron

Icosahedral honeycomb vs. Regular icosahedron

The icosahedral honeycomb is one of four compact regular space-filling tessellations (or honeycombs) in hyperbolic 3-space. In geometry, a regular icosahedron is a convex polyhedron with 20 faces, 30 edges and 12 vertices.

Similarities between Icosahedral honeycomb and Regular icosahedron

Icosahedral honeycomb and Regular icosahedron have 18 things in common (in Unionpedia): Coxeter group, Coxeter–Dynkin diagram, Dihedral angle, Dodecahedron, Dual polyhedron, Hyperbolic space, Icosahedron, Isogonal figure, Johnson solid, Octahedron, Pentagonal antiprism, Poincaré disk model, Regular 4-polytope, Schläfli symbol, Snub dodecahedron, Tetrahedron, Truncated icosahedron, Vertex figure.

Coxeter group

In mathematics, a Coxeter group, named after H. S. M. Coxeter, is an abstract group that admits a formal description in terms of reflections (or kaleidoscopic mirrors).

Coxeter group and Icosahedral honeycomb · Coxeter group and Regular icosahedron · See more »

Coxeter–Dynkin diagram

In geometry, a Coxeter–Dynkin diagram (or Coxeter diagram, Coxeter graph) is a graph with numerically labeled edges (called branches) representing the spatial relations between a collection of mirrors (or reflecting hyperplanes).

Coxeter–Dynkin diagram and Icosahedral honeycomb · Coxeter–Dynkin diagram and Regular icosahedron · See more »

Dihedral angle

A dihedral angle is the angle between two intersecting planes.

Dihedral angle and Icosahedral honeycomb · Dihedral angle and Regular icosahedron · 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 Icosahedral honeycomb · Dodecahedron and Regular icosahedron · 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 Icosahedral honeycomb · Dual polyhedron and Regular icosahedron · See more »

Hyperbolic space

In mathematics, hyperbolic space is a homogeneous space that has a constant negative curvature, where in this case the curvature is the sectional curvature.

Hyperbolic space and Icosahedral honeycomb · Hyperbolic space and Regular icosahedron · See more »

Icosahedron

In geometry, an icosahedron is a polyhedron with 20 faces.

Icosahedral honeycomb and Icosahedron · Icosahedron and Regular icosahedron · See more »

Isogonal figure

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.

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Johnson solid

In geometry, a Johnson solid is a strictly convex polyhedron, which is not uniform (i.e., not a Platonic solid, Archimedean solid, prism, or antiprism), and each face of which is a regular polygon.

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Octahedron

In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.

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Pentagonal antiprism

In geometry, the pentagonal antiprism is the third in an infinite set of antiprisms formed by an even-numbered sequence of triangle sides closed by two polygon caps.

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Poincaré disk model

In geometry, the Poincaré disk model, also called the conformal disk model, is a model of 2-dimensional hyperbolic geometry in which the points of the geometry are inside the unit disk, and the straight lines consist of all segments of circles contained within that disk that are orthogonal to the boundary of the disk, plus all diameters of the disk.

Icosahedral honeycomb and Poincaré disk model · Poincaré disk model and Regular icosahedron · See more »

Regular 4-polytope

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

Icosahedral honeycomb and Regular 4-polytope · Regular 4-polytope and Regular icosahedron · See more »

Schläfli symbol

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

Icosahedral honeycomb and Schläfli symbol · Regular icosahedron and Schläfli symbol · See more »

Snub dodecahedron

In geometry, the snub dodecahedron, or snub icosidodecahedron, is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed by two or more types of regular polygon faces.

Icosahedral honeycomb and Snub dodecahedron · Regular icosahedron and Snub dodecahedron · See more »

Tetrahedron

In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.

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Truncated icosahedron

In geometry, the truncated icosahedron is an Archimedean solid, one of 13 convex isogonal nonprismatic solids whose faces are two or more types of regular polygons.

Icosahedral honeycomb and Truncated icosahedron · Regular icosahedron and Truncated icosahedron · 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.

Icosahedral honeycomb and Vertex figure · Regular icosahedron and Vertex figure · See more »

The list above answers the following questions

Icosahedral honeycomb and Regular icosahedron Comparison

Icosahedral honeycomb has 47 relations, while Regular icosahedron has 163. As they have in common 18, the Jaccard index is 8.57% = 18 / (47 + 163).

References

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

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