How many edges does a truncated Icosidodecahedron have?

How many edges does a truncated Icosidodecahedron have?

180 edges
In the mathematical field of graph theory, a truncated icosidodecahedral graph (or great rhombicosidodecahedral graph) is the graph of vertices and edges of the truncated icosidodecahedron, one of the Archimedean solids. It has 120 vertices and 180 edges, and is a zero-symmetric and cubic Archimedean graph.

How many sides can a polyhedron have?

Every polyhedron has three parts: Face: the flat surfaces that make up a polyhedron are called its faces. These faces are regular polygons. Edge: the regions where the two flat surfaces meet to form a line segment are known as the edges….Comprehensive Curriculum.

Name No. of faces
Decahedron A polyhedron with 10 faces

How many edges does a d20 have?

Icosahedron/Number of edges

There are two objects, one convex and one nonconvex, that can both be called regular icosahedra. Each has 30 edges and 20 equilateral triangle faces with five meeting at each of its twelve vertices. Both have icosahedral symmetry.

How many vertices does a truncated Icosidodecahedron?

Truncated icosahedral graph
6-fold symmetry schlegel diagram
Vertices 60
Edges 90
Automorphisms 120

What polyhedron has 24 edges?

Octagonal prism
Convex uniform polyhedra

Name Vertex type Edges
Cube 4.4.4 12
Pentagonal prism 4.4.5 15
Hexagonal prism 4.4.6 18
Octagonal prism 4.4.8 24

What is a 20 sided object called?

In geometry, an icosagon or 20-gon is a twenty-sided polygon. The sum of any icosagon’s interior angles is 3240 degrees.

How many faces does an icosidodecahedron have?

Jump to navigation Jump to search. In geometry, an icosidodecahedron is a polyhedron with twenty (icosi) triangular faces and twelve (dodeca) pentagonal faces. An icosidodecahedron has 30 identical vertices, with two triangles and two pentagons meeting at each, and 60 identical edges, each separating a triangle from a pentagon.

How is the icosidodecahedron related to the Johnson solid?

The icosidodecahedron is related to the Johnson solid called a pentagonal orthobirotunda created by two pentagonal rotundae connected as mirror images. The icosidodecahedron can therefore be called a pentagonal gyrobirotunda with the gyration between top and bottom halves.

Why is the truncated icosidodecahedron called a zonohedron?

Since each of its faces has point symmetry (equivalently, 180° rotational symmetry), the truncated icosidodecahedron is a zonohedron . The name truncated icosidodecahedron, given originally by Johannes Kepler, is misleading.

Is the icosidodecahedron a pentagonal or gyrobirotunda?

An icosidodecahedron can be split along any of six planes to form a pair of pentagonal rotundae, which belong among the Johnson solids. The icosidodecahedron can be considered a pentagonal gyrobirotunda, as a combination of two rotundae (compare pentagonal orthobirotunda, one of the Johnson solids).

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