In geometry, a dodecahedron (from ancient greek δωδεκάεδρον (dōdekáedron); from δώδεκα (dṓdeka) 'twelve' and ἕδρα (hédra) 'base, seat, face') or duodecahedron[ 1] is any polyhedron with twelve flat faces. the most familiar dodecahedron is the regular dodecahedron with regular pentagons as faces, which is a platonic solid. The 5 platonic solids are called a tetrahedron, hexahedron, octahedron, dodecahedron and icosahedron with 4, 6, 8, 12, and 20 sides respectively. the regular hexahedron is a cube . table of polyhedra.
A regular dodecagon is a figure with sides of the same length and internal angles of the same size. it has twelve lines of reflective symmetry and rotational symmetry of order 12. a regular dodecagon is represented by the schläfli symbol {12} and can be constructed as a truncated hexagon, t {6}, or a twice truncated triangle, tt {3}. Learn about the dodecahedron, a three dimensional object with 12 pentagonal faces, and its history, properties and uses. discover how it relates to other polyhedrons, art, science and culture. Dodecahedron is derived from the greek word "dōdeka" means "12" and "hédra" means "face or seat" that shows that it is a polyhedron with 12 sides or 12 faces. hence, any polyhedra with 12 sides can be called a dodecahedron. it is made up of 12 pentagonal faces. the dodecahedron definition can be better understood using this illustration. A (general) dodecahedron is a polyhedron having 12 faces. examples include the bilinski dodecahedron, decagonal prism, elongated square dipyramid (johnson solid j (15)), hexagonal dipyramid, metabidiminished icosahedron (j (62)), pentagonal antiprism, pentagonal cupola (j 5), regular dodecahedron, rhombic dodecahedron, snub disphenoid (j (84)), trapezo rhombic dodecahedron, triakis tetrahedron.
Dodecahedron is derived from the greek word "dōdeka" means "12" and "hédra" means "face or seat" that shows that it is a polyhedron with 12 sides or 12 faces. hence, any polyhedra with 12 sides can be called a dodecahedron. it is made up of 12 pentagonal faces. the dodecahedron definition can be better understood using this illustration. A (general) dodecahedron is a polyhedron having 12 faces. examples include the bilinski dodecahedron, decagonal prism, elongated square dipyramid (johnson solid j (15)), hexagonal dipyramid, metabidiminished icosahedron (j (62)), pentagonal antiprism, pentagonal cupola (j 5), regular dodecahedron, rhombic dodecahedron, snub disphenoid (j (84)), trapezo rhombic dodecahedron, triakis tetrahedron. A dodecahedron is a 12 sided polyhedron with regular pentagonal faces. learn about its types, surface area and volume formulas, and examples of regular dodecahedrons. The regular dodecahedron, often simply called "the" dodecahedron, is the platonic solid composed of 20 polyhedron vertices, 30 polyhedron edges, and 12 pentagonal faces, 12{5}. it is illustrated above together with a wireframe version and a net that can be used for its construction. the regular dodecahedron is also the uniform polyhedron with maeder index 23 (maeder 1997), wenninger index 5.
A dodecahedron is a 12 sided polyhedron with regular pentagonal faces. learn about its types, surface area and volume formulas, and examples of regular dodecahedrons. The regular dodecahedron, often simply called "the" dodecahedron, is the platonic solid composed of 20 polyhedron vertices, 30 polyhedron edges, and 12 pentagonal faces, 12{5}. it is illustrated above together with a wireframe version and a net that can be used for its construction. the regular dodecahedron is also the uniform polyhedron with maeder index 23 (maeder 1997), wenninger index 5.
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