A regular dodecahedron or pentagonal dodecahedron is a dodecahedron composed of regular pentagonal faces, three meeting at each vertex. It is one of the...

familiar dodecahedron is the regular dodecahedron with regular pentagons as faces, which is a Platonic solid. There are also three regular star dodecahedra...

icosahedron dual, the dodecahedron. It is also possible that the Etruscans preceded the Greeks in their awareness of at least some of the regular polyhedra, as...

way to construct a great dodecahedron is by faceting the regular icosahedron. In other words, it is constructed from the regular icosahedron by removing...

a pentakis dodecahedron or kisdodecahedron is a polyhedron created by attaching a pentagonal pyramid to each face of a regular dodecahedron; that is, it...

by removing the pentagonal pyramids. The regular icosahedron's dual polyhedron is the regular dodecahedron, and their relation has a historical background...

stellated dodecahedron is a Kepler–Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol {⁠5/2⁠,5}. It is one of four nonconvex regular polyhedra...

Platonic solids, there is no ball whose knobs match the 20 vertices of the dodecahedron, and the arrangement of the knobs was not always symmetrical. The ancient...

In geometry, the truncated dodecahedron is an Archimedean solid. It has 12 regular decagonal faces, 20 regular triangular faces, 60 vertices and 90 edges...

subdivision of the regular dodecahedron and icosahedron. It has the most faces among the Archimedean and Catalan solids, with the snub dodecahedron, with 92 faces...

In geometry, the rhombic dodecahedron is a convex polyhedron with 12 congruent rhombic faces. It has 24 edges, and 14 vertices of 2 types. As a Catalan...

the great stellated dodecahedron is a Kepler–Poinsot polyhedron, with Schläfli symbol {⁠5/2⁠,3}. It is one of four nonconvex regular polyhedra. It is composed...

of the five regular polyhedral compounds. It was first described by Edmund Hess in 1876. Its vertices are those of a regular dodecahedron. Its edges form...

is the regular dodecahedron {5, 3} having three regular pentagonal faces around each vertex. The great icosahedron is one of the four regular star Kepler–Poinsot...

octahedron share the same symmetry, as do the regular dodecahedron and regular icosahedron. Two distinct regular polytopes with the same symmetry are dual...

antiquity. It is the ratio of a regular pentagon's diagonal to its side and thus appears in the construction of the dodecahedron and icosahedron. A golden rectangle—that...

of a regular dodecahedron. It can also be seen as the compound of ten tetrahedra with full icosahedral symmetry (Ih). It is one of five regular compounds...

geometry, the chamfered dodecahedron is a convex polyhedron with 80 vertices, 120 edges, and 42 faces: 30 irregular hexagons and 12 regular pentagons. It is...

icosahedron, within the sphere of Earth, within a regular dodecahedron, within the sphere of Mars, within a regular tetrahedron, within the sphere of Jupiter...

congruent kites. It can be decomposed into two pentagonal pyramids and a regular dodecahedron in the middle. The pentagonal trapezohedron has ten quadrilaterals...

A Roman dodecahedron or Gallo-Roman dodecahedron is a small hollow object made of copper alloy which has been cast into a regular dodecahedral shape with...

nets for Luca Pacioli's Divina proportione, including a net for the regular dodecahedron. However, these cannot be found in online copies of the 1509 first...

hexagons are equilateral, but not regular. The chamfered octahedron can also be called a tritruncated rhombic dodecahedron. The dual of the cO is the triakis...

Goldberg polyhedra, of which all but the smallest one (which is a regular dodecahedron) have mostly hexagonal faces. Geodesic polyhedra are a good approximation...

triangles. The regular icosahedron can be faceted into three regular Kepler–Poinsot polyhedra: small stellated dodecahedron, great dodecahedron, and great...

a dodecahedron in other ways, they may result in an augmented dodecahedron (J58), a metabiaugmented dodecahedron (J60), a triaugmented dodecahedron (J61)...

alternating orientation in the middle creating the pentagons. The regular dodecahedron is the most common polyhedron in this class, being a Platonic solid...

vertices. It is the 4-dimensional analogue of the regular dodecahedron, since just as a dodecahedron has 12 pentagonal facets, with 3 around each vertex...

nonprismatic solids constructed by two or more types of regular polygon faces. The snub dodecahedron has 92 faces (the most of the 13 Archimedean solids):...

elongated dodecahedron, extended rhombic dodecahedron, rhombo-hexagonal dodecahedron or hexarhombic dodecahedron is a convex dodecahedron with 8 rhombic...