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In geometry, a dodecahedron (from Ancient Greek δωδεκάεδρον (dōdekáedron); from δώδεκα (dṓdeka) 'twelve' and ἕδρα (hédra) 'base, seat, face') or duodecahedron[1] 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.
A dodecahedron is a three-dimensional figure having twelve faces that are pentagonal in shape. All the faces are flat 2-D shapes. There are five platonic solids and dodecahedron is one of them.
Aug 8, 2024 · A dodecahedron is a three-dimensional solid shape that belongs to the family of polyhedra, specifically the Platonic solids. In mathematical terms, the dodecahedron is one of the five Platonic solids, which are convex polyhedra with identical faces composed of congruent regular polygons.
Aug 3, 2023 · Dodecahedron. By the term ‘Dodecahedron’ we generally mean a regular dodecahedron having all faces congruent. A net of a dodecahedron can illustrate its shape from a 2-dimensional view. This net can be folded along to make a dodecahedron as shown in the video.
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 Plato in his dialogues, and it was used as part of Solar System proposed by Johannes Kepler. However, the regular dodecahedron, including ...
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 version and a net that can be used for its construction.
A dodecahedron is a three-dimensional shape that is made up of twelve flat faces, each of which is a pentagon. The term dodecahedron comes from the Greek words ‘dodeka’ meaning ‘twelve’ and ‘hedra’ meaning ‘base’, ‘seat’, or ‘face’.
Geometrically, a dodecahedron is a three-dimensional figure with all its twelve faces as regular pentagons. Also, all the faces are two-dimensional figures. In all geometry has five platonic solids with dodecahedron being one among them.
Its peculiar shape was inspired by the layout of roads around that area. Contents. Dodecahedrons Are a Kind of Polyhedron. Dodecahedrons Have 12 Pentagonal Faces. The Name "Dodecahedron" Has Greek Roots. Each One Contains "Edges" and "Vertices". The So-Called "Regular" Dodecahedron Is Part of an Elite Group ...
The dodecahedron is the most elusive Platonic solid. It has: 12 regular pentagonal faces. 30 edges. 20 corners. There are 160 diagonals of the dodecahedron. 60 of these are face diagonals. 100 are space diagonals (a line connecting two vertices that are not on the same face).
