regular dodecahedron

The map-coloring number of a regular dodecahedron's faces is 4.

For example, the figure shows the set of triangles generated in this way starting from a regular dodecahedron.

It shares the same vertex arrangement as a regular dodecahedron.

The regular dodecahedron represents a special intermediate case where all edges and angles are equal.

Joining the twenty vertices would form a regular dodecahedron.

However, the pyritohedron is not a regular dodecahedron, but rather has the same symmetry as the cube.

However, neither the regular icosahedron nor the regular dodecahedron are amongst them.

The regular dodecahedron is topologically related to a series of tilings by vertex figure n.

Like the regular dodecahedron, it has twelve identical pentagonal faces, with three meeting in each of the 20 vertices.

A regular dodecahedron has the same set of symmetries, since it is the dual of the icosahedron.

Its convex hull is a regular dodecahedron.

Earth's permanent link system composed an exact twenty entry points, located close to the vertices of a regular dodecahedron.

A hemi-dodecahedron is an abstract regular polyhedron, containing half the faces of a regular dodecahedron.

The surface area A and the volume V of a regular dodecahedron of edge length a are:

The regular dodecahedron is the most common polyhedron in this class, being a platonic solid, with 12 congruent pentagonal faces.

The diagrams showed intricate branching networks; lumpy, almost indecently biological forms; a perfectly formed regular dodecahedron.

For example the cube and the regular octahedron share the same symmetry, as do the regular dodecahedron and icosahedron.

The Platonic solid dodecahedron can be called a pentagonal dodecahedron or a regular dodecahedron to distinguish it.

In three dimensions, the symmetry group of the regular dodecahedron and its dual, the regular icosahedron, is H, known as the full icosahedral group.

The icosahedral group of order 60, rotational symmetry group of the regular dodecahedron and the regular icosahedron.

The regular dodecahedron is a member of a sequence of otherwise non-uniform polyhedra and tilings, composed of pentagons with face configurations (V3.3.3.3.

The dihedral angle of a Euclidean regular dodecahedron is 116.6 , so no more than three of them can fit around an edge in Euclidean 3-space.

A regular dodecahedron has 12 faces and 20 vertices, whereas a regular icosahedron has 20 faces and 12 vertices.

The regular dodecahedron is the third in an infinite set of truncated trapezohedra which can be constructed by truncating the two axial vertices of a pentagonal trapezohedron.

He stellated the regular dodecahedron to obtain two regular star polyhedra, the small stellated dodecahedron and great stellated dodecahedron.