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A dodecahedron has:
- 12 faces (each face is a regular pentagon with 5 sides)
- 30 edges
- 20 vertices
mathmonks.com/dodecahedronFaces: A dodecahedron has 12 faces. Each face is an identical regular pentagon. 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 is known as an edge.helpingwithmath.com/dodecahedron/A dodecahedron has twelve faces, twenty vertices, and thirty edges. The symmetry group of a dodecahedron is the dihedral group D5h of order 120 (isomorphic to (Z/2Z)5 × S5), order 2+10×5!/2 = 60 dihedral symmetries.www.intmath.com/functions-and-graphs/dodecahe…One of the five types of regular polyhedra. A dodecahedron has 12 (pentagonal) faces, 30 edges and 20 vertices (with three edges meeting at each vertex). If $a$ is the edge length of a dodecahedron, its volume is $$v=frac {a^3} {4} (15+7sqrt5)approx7.6631a^3.$$ Figure: d033750a Dodecahedron.encyclopediaofmath.org/wiki/DodecahedronA 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 intersection of two adjacent faces; a vertex for a regular dodecahedron is a point where 3 edges meet.www.math.net/dodecahedron Dodecahedron - Wikipedia
Some dodecahedra have the same combinatorial structure as the regular dodecahedron (in terms of the graph formed by its vertices and edges), but their pentagonal faces are not regular: The pyritohedron, a common crystal form in …
Regular dodecahedron - Wikipedia
The regular dodecahedron is a polyhedron with twelve pentagonal faces, thirty edges, and twenty vertices. [1] It is one of the Platonic solids, a set of polyhedrons in which the faces are regular polygons that are congruent and the same …
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° = …
Dodecahedron - Definition, Formulas, Properties, …
A dodecahedron is a three-dimensional figure having twelve faces that are pentagonal in shape. It has 12 faces, 20 vertices, and 30 edges. Learn more about dodecahedron in this article.
Dodecahedron - Definition, Properties and Examples
Aug 8, 2024 · Faces: The dodecahedron has 12 flat faces. Each face is a regular pentagon, meaning all five sides and angles are equal. Vertices: There are 20 vertices in a …
Dodecahedron: The 12-sided Shape With the 12-letter …
"Edges" are a no-brainer; they're the lines where two of the polygons (squares, triangles, etc.) on a polyhedron meet. Vertices — or "vertexes" — are those pointy bits at which three or more faces converge. Every dodecahedron with …
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, Examples, Properties, …
A dodecahedron is a three-dimensional shape with 12 faces, each a regular pentagon. Learn about its vertices, edges, nets, and how to calculate its surface area and volume.
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 - Math.net
Learn about the dodecahedron, a polyhedron with 12 faces, 30 edges and 20 vertices. Find out how to calculate its surface area and volume using formulas and examples.
Dodecahedron in Geometry - Interactive Mathematics
A dodecahedron has twelve faces, twenty vertices, and thirty edges. The symmetry group of a dodecahedron is the dihedral group D5h of order 120 (isomorphic to (Z/2Z)5 × S5), order …
Properties of regular dodecahedron - calculator - Calcresource
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 …
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: 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 …
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 - 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 | Definition, Faces & Examples | Study.com
Nov 21, 2023 · Three-dimensional shapes have parts called faces, edges, and vertices. faces = the flat sides of the shape ; edges = the lines where faces meet ; vertices = the corners where …
Dodecahedron | Definition, Properties & Examples | Study.com
Nov 21, 2023 · A dodecahedron is a regular polyhedron with twelve faces. It has 30 edges and 20 vertices. The faces of a dodecahedron are pentagons.
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 …
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