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  1. Dodecahedron - Wikipedia

    • In geometry, a dodecahedron (from Ancient Greek δωδεκάεδρον (dōdekáedron); from δώδεκα (dṓdeka) 'twelve' and ἕδρα (hédra) 'base, seat, face') or duodecahedron 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. There are also three re… See more

    Regular dodecahedron

    The convex regular dodecahedron is one of the five regular Platonic solids and can be represented by its
    The … See more

    Other pentagonal dodecahedra

    In crystallography, two important dodecahedra can occur as crystal forms in some symmetry classes of the cubic crystal system that are topologically equivalent to the regular dodecahedron but less symmetrica… See more

    Rhombic dodecahedron

    The rhombic dodecahedron is a zonohedron with twelve rhombic faces and octahedral symmetry. It is dual to the quasiregular cuboctahedron (an Archimedean solid) and occurs in nature as a crystal form. The rhombic do… See more

     The 12-Faced Wonder
    The 12-Faced Wonder
     The 12-Faced Beauty
    The 12-Faced Beauty
    Other dodecahedra

    There are 6,384,634 topologically distinct convex dodecahedra, excluding mirror images—the number of vertices ranges from 8 to 20. (Two polyhedra are "topologically distinct" if they have intrinsically … See more

    Practical usage

    Armand Spitz used a dodecahedron as the "globe" equivalent for his Digital Dome planetarium projector, based upon a suggestion from Albert Einstein.
    Regular dodecahedrons are sometimes used as dic… See more

    See also

    120-cell – a regular polychoron (4D polytope) whose surface consists of 120 dodecahedral cells
    Braarudosphaera bigelowii – a dodecahedron shaped coccolithophore (a unicellular phytoplankton algaeSee more

    External links

    • Plato's Fourth Solid and the "Pyritohedron", by Paul Stephenson, 1993, The Mathematical Gazette, Vol. 77, No. 479 (Jul., 1993), pp. 220–226
    Stellation of Pyritohedron VRML models and animations of Pyritohe… See more

     
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  2. A regular dodecahedron or pentagonal dodecahedron is a dodecahedron that is regular, which is composed of 12 regular pentagonal faces, three meeting at each vertex. It is one of the five Platonic solids. It has 12 faces, 20 vertices, 30 edges, and 160 diagonals (60 face diagonals, 100 space diagonals).
    en.wikipedia.org/wiki/Regular_dodecahedron
    A dodecahedron is a pentagonal-shaped three-dimensional object with twelve faces. Every face is flat, in 2-D form. One of the five platonic solids is a dodecahedron. Platonic solids are convex polyhedra with faces made of congruent regular polygons that meet at each of their vertices with the same number of faces.
    helpingwithmath.com/dodecahedron/
     
  3. Regular dodecahedron - Wikipedia

    The regular dodecahedron is the family of truncated trapezohedron because it is the result of truncating axial vertices of a pentagonal trapezohedron. It is also …

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    • Platonic Solids - Part 12 - The Dodecahedron - Cosmic Core

    • Dodecahedron - Definition, Formulas, Properties, …

      Learn about the dodecahedron, a three-dimensional figure with 12 pentagonal faces, and its types, formulas, and properties. See examples of dodecahedron shapes in real life and math problems.

    • The Dodecahedron - Whistler Alley

      Nov 2, 2011 · The Dodecahedron. The dodecahedron has 12 regular pentagonal faces, 20 vertices, and 30 edges. Three faces meet at each vertex. The pentagonal faces of this solid are a …

    • Dodecahedron: The 12-sided Shape With the 12 …

      A dodecahedron has 12 flat faces, all shaped like pentagons. Here are 12 cool things you just may not know about them.

    • The 5 Platonic Solids – Properties, …

      In total, there are five Platonic solids: tetrahedron, cube, octahedron, dodecahedron, and icosahedron. These figures are associated with the five elements of nature: fire, earth, air, …

    • The Dodecahedron

      The dodecahedron is entirely pentagonal, consisting of the geometry of Phi. Yet it contains the and geometry of the cube, tetrahedron, and octahedron. Remarkably, the sides of the …

    • Dodecahedron | Definition, Examples, …

      A dodecahedron is a three-dimensional shape with 12 regular pentagonal faces. Learn about its parts, properties, nets, formulas, examples, and real-life applications in geometry.

    • Dodecahedron – Definition, Formulas, …

      Aug 3, 2023 · A dodecahedron has: 12 faces (each face is a regular pentagon with 5 sides) 30 edges; 20 vertices; Angles. The angle between 2 sides of a pentagonal face is 108°. The sum …

    • Dodecahedra - George W. Hart

      It is composed of twelve identical irregular pentagons, but has three different types of vertices. It is also called the tetrahedral pentagonal dodecahedron because of its chiral tetrahedral symmetry. If you take a regular pentagon …

    • Faces, Edges and Vertices of a Dodecahedron - Neurochispas

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