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Regular dodecahedron - Wikipedia
The regular dodecahedron, as the family of Platonic solids, is a regular polyhedron. It is isogonal, isohedral, and isotoxal: any two vertices, two faces, and two edges of a regular dodecahedron can be transformed by rotations and reflections under its symmetry orbit respectively, which preserves the appearance. See more
A regular dodecahedron or pentagonal dodecahedron is a dodecahedron composed of regular pentagonal faces, three meeting at each vertex. It is an example of Platonic solids, described as cosmic stellation by See more
The regular dodecahedron can be interpreted as a truncated trapezohedron. It is the set of polyhedrons that can be constructed by truncating the two axial vertices of a See more
According to Steinitz's theorem, the graph can be represented as the skeleton of a polyhedron; roughly speaking, a framework of a … See more
Descriptions
The regular dodecahedron is a polyhedron with twelve pentagonal faces, thirty edges, and twenty vertices. It is one of the Platonic solids, … See moreThe golden ratio is the ratio between two numbers equal to the ratio of their sum to the larger of the two quantities. It is one of two roots of a polynomial, expressed as See more
In arts and popular cultures
Regular dodecahedra have been used as dice and probably also as divinatory devices. During the Hellenistic era, small hollow bronze Roman dodecahedra were made and have been found in various Roman ruins in … See moreWikipedia text under CC-BY-SA license 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 regular star dodecahedra, which are constructed as stellations of the convex form. All of these have icosahedral symmetry, …
Wikipedia · Text under CC-BY-SA licenseDodecahedron - 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 …
Faces, Edges and Vertices of a Dodecahedron - Neurochispas
See more on en.neurochispas.comThe faces of dodecahedrons are the two-dimensional flat surfaces that form the three-dimensional dodecahedron. Dodecahedrons have a total of twelve pentagonal faces. Another way to define the faces of the dodecahedrons is as the two-dimensional pentagons that are formed by the vertices and the edges. Each f…- Email: [email protected]
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Dodecahedron – Definition, Formulas, Examples
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 of the angles at every vertex is 3 × 108° = …
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Regular Dodecahedron -- from Wolfram MathWorld
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 …
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 …
Dodecahedron: an Interactive Model - Alexander Bogomolny
Dodecahedron. Dodecahedron is one of only five Platonic solids. This is a regular polyhedron with 20 vertices, 30 edges, and 12 faces. All faces are regular pentagons and at every vertex meet …
Properties of regular dodecahedron - calculator
Mar 1, 2024 · Dodecahedron is a regular polyhedron with twelve faces. By regular is meant that all faces are identical regular polygons (pentagons for the dodecahedron). It is one of the five platonic solids (the other ones are …
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
The vertices of the dodecahedron are at the intersection points. 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 …
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 in Geometry - Interactive Mathematics
What are the properties of a dodecahedron? A dodecahedron has twelve faces, twenty vertices, and thirty edges. The symmetry group of a dodecahedron is the dihedral group D5h of order …
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 …
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 …
Icosidodecahedron - Wikipedia
3D model of an icosidodecahedron. In geometry, an icosidodecahedron or pentagonal gyrobirotunda is a polyhedron with twenty (icosi-) triangular faces and twelve (dodeca-) …
DODECAHEDRON - University of British Columbia
Properties of the Dodecahedron: Faces: 12 pentagons; Vertices: 20, each with 3 edges meeting Edges: 30; Dihedral angle: 116°34' The Symmetry: Surface Area: 12 pentagons make up this …
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 | 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: 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 …
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