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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 … See more
The convex regular dodecahedron is one of the five regular Platonic solids and can be represented by its Schläfli symbol {5, 3}.
The dual polyhedron is the regular icosahedron {3, 5}, having five equilateral triangles around … See moreThe 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 dodecahedron packs … See more
Armand Spitz used a dodecahedron as the "globe" equivalent for his Digital Dome planetarium projector, based upon a suggestion from See more
• 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 Pyritohedron and its stellations See moreIn crystallography, two important dodecahedra can occur as crystal forms in some symmetry classes of the cubic crystal system that are topologically equivalent to the … See more
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 different arrangements of faces and vertices, such … See more
• 120-cell – a regular polychoron (4D polytope) whose surface consists of 120 dodecahedral cells
• Braarudosphaera bigelowii – a dodecahedron shaped coccolithophore (a unicellular phytoplankton algae) See moreWikipedia text under CC-BY-SA license Regular dodecahedron - Wikipedia
The regular dodecahedron is a polyhedron with twelve pentagonal faces, thirty edges, and twenty vertices. It is one of the Platonic solids, a set of polyhedrons in which the faces are regular polygons that are congruent and the same number of faces meet at a vertex. This set of polyhedrons is named after Plato. In Theaetetus, a dialogue of Plato, Plato hypothesized that the classical element…
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Regular Dodecahedron -- from Wolfram MathWorld
Dodecahedron - Definition, Formulas, Properties, Examples
The main difference between a dodecagon and a dodecahedron is that a dodecagon is a 2D shape while a dodecahedron is a solid 3D figure. The dodecagon is made up of 12 straight …
Dodecahedron – Definition, Formulas, Examples & Diagrams
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Faces, Edges and Vertices of a Dodecahedron
The vertices of a dodecahedron are the points where the edges meet. Specifically, three edges meet at each vertex of a dodecahedron. Alternatively, we can also define the vertices of a dodecahedron as the points where three …
Dodecahedron - Definition, Properties and Examples
Aug 8, 2024 · Vertices: There are 20 vertices in a dodecahedron. At each vertex, three pentagonal faces meet. Edges: The dodecahedron has 30 edges. Each edge is shared by two …
Properties of regular dodecahedron - calculator
Mar 1, 2024 · This tool calculates the basic geometric properties of a regular dodecahedron. Enter the shape dimension 'a' or 'h' below. The calculated results will have the same units as your input.
Spinning Dodecahedron - Math is Fun
Notice these interesting things: It has 12 faces. It has 30 edges. It has 20 vertices (corner points).
2. The dodecahedron The dodecahedron has 20 vertices and twelve faces, each face being a regular pentagon. Here we will give formulas for the vertices of a dodecahedron D with center …
The Dodecahedron - Whistler Alley
Nov 2, 2011 · 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 bit more difficult to deal with than the others.
The Dodecahedron
We could just as easily have found the vertices of the dodecahedron by drawing lines on every triangular face of the icosahedron. Where those lines intersect is the center of the face, and a …
Dodecahedron | Math Wiki - Fandom
A dodecahedron (Greek δωδεκάεδρον, from δώδεκα 'twelve' + εδρον 'base', 'seat' or 'face') is any polyhedron with twelve faces, but usually a regular dodecahedron is meant: a Platonic solid …
Dodecahedron - Math.net
A regular dodecahedron, such as the one shown above, has 12 congruent faces that are regular pentagons, 30 congruent edges, and 20 vertices; an edge is a line segment formed by the …
Dodecahedron | Definition, Examples, Properties, Nets, Formulas
Vertices: A dodecahedron has 20 vertices. A vertex is a point where three edges meet. Edges: A dodecahedron has 30 edges. A line segment on the border connecting one vertex to another …
Dodecahedron: Properties, Volume and Surface Area with …
May 4, 2023 · Vertices: A dodecahedron has 20 vertices with 3 sides meeting at each vertex. Diagonals: A dodecahedron has 60 diagonals. Sum of Angles: In a dodecahedron, the sum of …
Dodecahedron - archive.lib.msu.edu
May 24, 1999 · The regular dodecahedron is the Platonic Solid () composed of 20 Vertices, 30 Edges, and 12 Pentagonal Faces. It is given by the symbol , the Schläfli Symbol. It is also …
DODECAHEDRON - University of British Columbia
Click here to see how to calculate the area of a pentagon. The dodecahedron is made up of 12 pyramids with pentagon as the base. The volume of one pyramid = (base area × height) /3 = …
Dodecahedron - VIAS
The coordinates of the vertices of a dodecahedron can be described by the following two expressions: where k=0..4, and Φ is the Golden Ratio . The top and bottom faces of this …
Dodecahedron: Definitions and Examples - Club Z! Tutoring
The dodecahedron is a polyhedron with 12 regular pentagonal faces, 20 vertices, and 30 edges. It is a Platonic solid, which means that all of its faces are identical regular polygons, and all of its …
Dual polyhedron - Wikipedia
Canonical dual compound of cuboctahedron (light) and rhombic dodecahedron (dark). ... The graph formed by the vertices and edges of the dual polyhedron is the dual graph of the original …
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