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

Pentagonal bipyramid

Index Pentagonal bipyramid

In geometry, the pentagonal bipyramid (or dipyramid) is third of the infinite set of face-transitive bipyramids. [1]

28 relations: Alternation (geometry), Bipyramid, Convex set, Deltahedron, Dual polyhedron, Elongated triangular bipyramid, Equilateral triangle, Face, Geometry, Isohedral figure, Johnson solid, K-vertex-connected graph, Maximal independent set, Octahedron, Pentagonal bipyramidal molecular geometry, Pentagonal prism, Pentagonal pyramid, Platonic solid, Prism (geometry), Rectification (geometry), Simplicial polytope, Snub (geometry), Snub disphenoid, Triangle, Triangular bipyramid, Truncation (geometry), Vertex (geometry), Well-covered graph.

Alternation (geometry)

In geometry, an alternation or partial truncation, is an operation on a polygon, polyhedron, tiling, or higher dimensional polytope that removes alternate vertices.

New!!: Pentagonal bipyramid and Alternation (geometry) · See more »

Bipyramid

An n-gonal bipyramid or dipyramid is a polyhedron formed by joining an n-gonal pyramid and its mirror image base-to-base.

New!!: Pentagonal bipyramid and Bipyramid · See more »

Convex set

In convex geometry, a convex set is a subset of an affine space that is closed under convex combinations.

New!!: Pentagonal bipyramid and Convex set · See more »

Deltahedron

In geometry, a deltahedron (plural deltahedra) is a polyhedron whose faces are all equilateral triangles.

New!!: Pentagonal bipyramid and Deltahedron · 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.

New!!: Pentagonal bipyramid and Dual polyhedron · See more »

Elongated triangular bipyramid

In geometry, the elongated triangular bipyramid (or dipyramid) is one of the Johnson solids (J14), convex polyhedra whose faces are regular polygons.

New!!: Pentagonal bipyramid and Elongated triangular bipyramid · See more »

Equilateral triangle

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

New!!: Pentagonal bipyramid and Equilateral triangle · See more »

Face

The face is a central body region of sense and is also very central in the expression of emotion among humans and among numerous other species.

New!!: Pentagonal bipyramid and Face · 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.

New!!: Pentagonal bipyramid and Geometry · See more »

Isohedral figure

In geometry, a polytope of dimension 3 (a polyhedron) or higher is isohedral or face-transitive when all its faces are the same.

New!!: Pentagonal bipyramid and Isohedral figure · See more »

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.

New!!: Pentagonal bipyramid and Johnson solid · 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.

New!!: Pentagonal bipyramid and K-vertex-connected graph · See more »

Maximal independent set

In graph theory, a maximal independent set (MIS) or maximal stable set is an independent set that is not a subset of any other independent set.

New!!: Pentagonal bipyramid and Maximal independent set · See more »

Octahedron

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

New!!: Pentagonal bipyramid and Octahedron · See more »

Pentagonal bipyramidal molecular geometry

In chemistry, a pentagonal bipyramid (or dipyramid) is a molecular geometry with one atom at the centre with seven ligands at the corners of a pentagonal dipyramid.

New!!: Pentagonal bipyramid and Pentagonal bipyramidal molecular geometry · See more »

Pentagonal prism

In geometry, the pentagonal prism is a prism with a pentagonal base.

New!!: Pentagonal bipyramid and Pentagonal prism · See more »

Pentagonal pyramid

In geometry, a pentagonal pyramid is a pyramid with a pentagonal base upon which are erected five triangular faces that meet at a point (the vertex).

New!!: Pentagonal bipyramid and Pentagonal pyramid · See more »

Platonic solid

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

New!!: Pentagonal bipyramid and Platonic solid · See more »

Prism (geometry)

In geometry, a prism is a polyhedron comprising an n-sided polygonal base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases.

New!!: Pentagonal bipyramid and Prism (geometry) · 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.

New!!: Pentagonal bipyramid and Rectification (geometry) · See more »

Simplicial polytope

In geometry, a simplicial polytope is a polytope whose facets are all simplices.

New!!: Pentagonal bipyramid and Simplicial polytope · See more »

Snub (geometry)

In geometry, a snub is an operation applied to a polyhedron.

New!!: Pentagonal bipyramid and Snub (geometry) · See more »

Snub disphenoid

In geometry, the snub disphenoid, Siamese dodecahedron, triangular dodecahedron or dodecadeltahedron is a three-dimensional convex polyhedron with twelve equilateral triangles as its faces.

New!!: Pentagonal bipyramid and Snub disphenoid · See more »

Triangle

A triangle is a polygon with three edges and three vertices.

New!!: Pentagonal bipyramid and Triangle · See more »

Triangular bipyramid

In geometry, the triangular bipyramid (or dipyramid) is a type of hexahedron, being the first in the infinite set of face-transitive bipyramids.

New!!: Pentagonal bipyramid and Triangular bipyramid · See more »

Truncation (geometry)

In geometry, a truncation is an operation in any dimension that cuts polytope vertices, creating a new facet in place of each vertex.

New!!: Pentagonal bipyramid and Truncation (geometry) · See more »

Vertex (geometry)

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

New!!: Pentagonal bipyramid and Vertex (geometry) · See more »

Well-covered graph

In graph theory, a well-covered graph is an undirected graph in which every minimal vertex cover has the same size as every other minimal vertex cover.

New!!: Pentagonal bipyramid and Well-covered graph · See more »

Redirects here:

Pentagonal Dipyramid, Pentagonal dipyramid.

References

[1] https://en.wikipedia.org/wiki/Pentagonal_bipyramid

OutgoingIncoming
Hey! We are on Facebook now! »