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20 vertices- According to 4 sources
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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 …
Dodecahedron – Definition, Formulas, Examples & Diagrams
Regular Dodecahedron -- from Wolfram MathWorld
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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 …
Dodecahedron | Definition, Examples, …
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 …
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 …
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.
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.
Dodecahedron: an Interactive Model - Alexander Bogomolny
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 three faces and …
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 …
Spinning Dodecahedron - Math is Fun
Notice these interesting things: It has 12 faces. It has 30 edges. It has 20 vertices (corner points).
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 - VIAS
A regular dodecahedron is one of the Platonic solids, having 12 regular pentagonal faces. where k=0..4, and Φ is the Golden Ratio . The top and bottom faces of this dodecahedron are in …
Dodecahedron - Cool Math
Properties of the dodecahedron: Number of faces, edges and dihedral angle measure. The dodecahedron is one of the five Platonic solids. 12 faces: regular pentagons. 20 vertices. 30 …
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 …
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-) …
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