dodecahedron
dodecahedron
There are only 5 regular polyhedra: those with 4, 6, 8, 12 and 20 faces. If you know of 7 polyhedra there may be a Fields Medal (the Nobel prize for mathematicians) for you!
The simplest stellated polyhedral shape is the stellated tetrahedron with 12 faces (3 * 4) Others have more faces.
10 * * * * * Polyhedra are named according to the number of faces that they have. So a 3d dodecagon, called a dodecahedron would have 12 faces.
There are infinitely many sets. For example, a cube, cuboid, parallelepiped, rhombohedron and their less regular counterparts all have 6 quadrilateral faces, 12 edges and 8 vertices. There are similar sets for polyhedra with a different number of faces.
dodecahedron
It is a dodecahedron - a shape with 12 faces which are regular pentagons.
There are only 5 regular polyhedra: those with 4, 6, 8, 12 and 20 faces. If you know of 7 polyhedra there may be a Fields Medal (the Nobel prize for mathematicians) for you!
A cube has 12 edges as does an octahedron and those are the two platonic solids (convex polyhedra with congruent regular polygons as faces where the same number of faces meet at each vertice) with 12 edges.
A dodecahedron is a 3-d shape with 12 faces that are regular pentagons.
A regular 3-d figure formed from pentagons is a dodecahedron (12 faces). However, a soccer ball is not a 3-d shape formed from only regular pentagon. Instead it comprises 12 regular pentagons (usually black) and 20 regular hexagons (white).
the dodecahedron - made up of 12 regular pentagons
The simplest stellated polyhedral shape is the stellated tetrahedron with 12 faces (3 * 4) Others have more faces.
10 * * * * * Polyhedra are named according to the number of faces that they have. So a 3d dodecagon, called a dodecahedron would have 12 faces.
The Platonic solids in modern Euclidean geometry are five regular polyhedra. These are three-dimensional objects that are bounded by regular polygonal faces. They are: Tetrahedron (or triangular pyramid): 4 triangular faces; Hexahedron (cube): 6 square faces; Octahedron: 8 triangular faces; Dodecahedron: 12 pentagonal faces; Icosahedron: 20 triangular faces. See link for more.
There are infinitely many sets. For example, a cube, cuboid, parallelepiped, rhombohedron and their less regular counterparts all have 6 quadrilateral faces, 12 edges and 8 vertices. There are similar sets for polyhedra with a different number of faces.
The solid with 12 equal faces is a dodecahedron. A dodecahedron has 12 equal pentagon surfaces.