Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Free
Faster access than browser!
 

Cube and Regular dodecahedron

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

Difference between Cube and Regular dodecahedron

Cube vs. Regular dodecahedron

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. A regular dodecahedron or pentagonal dodecahedron is a dodecahedron that is regular, which is composed of twelve regular pentagonal faces, three meeting at each vertex.

Similarities between Cube and Regular dodecahedron

Cube and Regular dodecahedron have 33 things in common (in Unionpedia): Cartesian coordinate system, Circumscribed sphere, Compound of five cubes, Coxeter element, Coxeter group, Dihedral angle, Distance-regular graph, Distance-transitive graph, Dodecahedron, Dual polyhedron, Face diagonal, Graph (discrete mathematics), Hamiltonian path, K-vertex-connected graph, N-skeleton, Net (polyhedron), Orthographic projection, Planar graph, Platonic graph, Platonic solid, Polytope compound, Projection (linear algebra), Rectification (geometry), Regular graph, Regular polyhedron, Rhombic dodecahedron, Schläfli symbol, Space diagonal, Spherical polyhedron, Stereographic projection, ..., Symmetric graph, Vertex figure, Volume. Expand index (3 more) »

Cartesian coordinate system

A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.

Cartesian coordinate system and Cube · Cartesian coordinate system and Regular dodecahedron · See more »

Circumscribed sphere

In geometry, a circumscribed sphere of a polyhedron is a sphere that contains the polyhedron and touches each of the polyhedron's vertices.

Circumscribed sphere and Cube · Circumscribed sphere and Regular dodecahedron · See more »

Compound of five cubes

The compound of five cubes is one of the five regular polyhedral compounds.

Compound of five cubes and Cube · Compound of five cubes and Regular dodecahedron · See more »

Coxeter element

In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.

Coxeter element and Cube · Coxeter element and Regular dodecahedron · See more »

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 Cube · Coxeter group and Regular dodecahedron · See more »

Dihedral angle

A dihedral angle is the angle between two intersecting planes.

Cube and Dihedral angle · Dihedral angle and Regular dodecahedron · See more »

Distance-regular graph

In mathematics, a distance-regular graph is a regular graph such that for any two vertices v and w, the number of vertices at distance j from v and at distance k from w depends only upon j, k, and i.

Cube and Distance-regular graph · Distance-regular graph and Regular dodecahedron · See more »

Distance-transitive graph

In the mathematical field of graph theory, a distance-transitive graph is a graph such that, given any two vertices v and w at any distance i, and any other two vertices x and y at the same distance, there is an automorphism of the graph that carries v to x and w to y.

Cube and Distance-transitive graph · Distance-transitive graph and Regular dodecahedron · 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.

Cube and Dodecahedron · Dodecahedron and Regular dodecahedron · 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.

Cube and Dual polyhedron · Dual polyhedron and Regular dodecahedron · See more »

Face diagonal

In geometry, a face diagonal of a polyhedron is a diagonal on one of the faces, in contrast to a space diagonal passing through the interior of the polyhedron.

Cube and Face diagonal · Face diagonal and Regular dodecahedron · See more »

Graph (discrete mathematics)

In mathematics, and more specifically in graph theory, a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related".

Cube and Graph (discrete mathematics) · Graph (discrete mathematics) and Regular dodecahedron · See more »

Hamiltonian path

In the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex exactly once.

Cube and Hamiltonian path · Hamiltonian path and Regular dodecahedron · See more »

K-vertex-connected graph

In graph theory, a connected graph G is said to be k-vertex-connected (or k-connected) if it has more than k vertices and remains connected whenever fewer than k vertices are removed.

Cube and K-vertex-connected graph · K-vertex-connected graph and Regular dodecahedron · See more »

N-skeleton

In mathematics, particularly in algebraic topology, the of a topological space X presented as a simplicial complex (resp. CW complex) refers to the subspace Xn that is the union of the simplices of X (resp. cells of X) of dimensions In other words, given an inductive definition of a complex, the is obtained by stopping at the.

Cube and N-skeleton · N-skeleton and Regular dodecahedron · See more »

Net (polyhedron)

In geometry a net of a polyhedron is an arrangement of edge-joined polygons in the plane which can be folded (along edges) to become the faces of the polyhedron.

Cube and Net (polyhedron) · Net (polyhedron) and Regular dodecahedron · See more »

Orthographic projection

Orthographic projection (sometimes orthogonal projection), is a means of representing three-dimensional objects in two dimensions.

Cube and Orthographic projection · Orthographic projection and Regular dodecahedron · See more »

Planar graph

In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect only at their endpoints.

Cube and Planar graph · Planar graph and Regular dodecahedron · See more »

Platonic graph

In the mathematical field of graph theory, a Platonic graph is a graph that has one of the Platonic solids as its skeleton.

Cube and Platonic graph · Platonic graph and Regular dodecahedron · See more »

Platonic solid

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

Cube and Platonic solid · Platonic solid and Regular dodecahedron · See more »

Polytope compound

A polyhedral compound is a figure that is composed of several polyhedra sharing a common centre.

Cube and Polytope compound · Polytope compound and Regular dodecahedron · See more »

Projection (linear algebra)

In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that.

Cube and Projection (linear algebra) · Projection (linear algebra) and Regular dodecahedron · See more »

Rectification (geometry)

In Euclidean geometry, rectification or complete-truncation is the process of truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points.

Cube and Rectification (geometry) · Rectification (geometry) and Regular dodecahedron · See more »

Regular graph

In graph theory, a regular graph is a graph where each vertex has the same number of neighbors; i.e. every vertex has the same degree or valency.

Cube and Regular graph · Regular dodecahedron and Regular graph · See more »

Regular polyhedron

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

Cube and Regular polyhedron · Regular dodecahedron and Regular polyhedron · See more »

Rhombic dodecahedron

In geometry, the rhombic dodecahedron is a convex polyhedron with 12 congruent rhombic faces.

Cube and Rhombic dodecahedron · Regular dodecahedron and Rhombic dodecahedron · See more »

Schläfli symbol

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

Cube and Schläfli symbol · Regular dodecahedron and Schläfli symbol · See more »

Space diagonal

In geometry a space diagonal (also interior diagonal or body diagonal) of a polyhedron is a line connecting two vertices that are not on the same face.

Cube and Space diagonal · Regular dodecahedron and Space diagonal · See more »

Spherical polyhedron

In mathematics, a spherical polyhedron or spherical tiling is a tiling of the sphere in which the surface is divided or partitioned by great arcs into bounded regions called spherical polygons.

Cube and Spherical polyhedron · Regular dodecahedron and Spherical polyhedron · See more »

Stereographic projection

In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane.

Cube and Stereographic projection · Regular dodecahedron and Stereographic projection · See more »

Symmetric graph

In the mathematical field of graph theory, a graph G is symmetric (or arc-transitive) if, given any two pairs of adjacent vertices u1—v1 and u2—v2 of G, there is an automorphism such that In other words, a graph is symmetric if its automorphism group acts transitively upon ordered pairs of adjacent vertices (that is, upon edges considered as having a direction).

Cube and Symmetric graph · Regular dodecahedron and Symmetric graph · 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.

Cube and Vertex figure · Regular dodecahedron and Vertex figure · See more »

Volume

Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains.

Cube and Volume · Regular dodecahedron and Volume · See more »

The list above answers the following questions

Cube and Regular dodecahedron Comparison

Cube has 111 relations, while Regular dodecahedron has 114. As they have in common 33, the Jaccard index is 14.67% = 33 / (111 + 114).

References

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

Hey! We are on Facebook now! »