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In geometry, an icosahedron ( / ˌaɪkɒsəˈhiːdrən, - kə -, - koʊ -/ or / aɪˌkɒsəˈhiːdrən / [1]) is a polyhedron with 20 faces. The name comes from Ancient Greek εἴκοσι (eíkosi) 'twenty', and ἕδρα (hédra) 'seat'. The plural can be either "icosahedra" ( /- drə /) or "icosahedrons".
The icosahedron's definition is derived from the ancient Greek words Icos (eíkosi) meaning 'twenty' and hedra (hédra) meaning 'seat'. It is one of the five platonic solids with equilateral triangular faces. Icosahedron has 20 faces, 30 edges, and 12 vertices.
In geometry, the regular icosahedron (or simply icosahedron) is a convex polyhedron that can be constructed from pentagonal antiprism by attaching two pentagonal pyramids with regular faces to each of its pentagonal faces, or by putting points onto the cube.
Icosahedron Facts. Notice these interesting things: It has 20 Faces. Each face is an Equilateral Triangle. It has 30 Edges. It has 12 Vertices (corner points) and at each vertex 5 edges meet. It is one of the Platonic Solids. Volume and Surface Area. Volume = 5× (3+√5)/12 × (Edge Length) 3. Surface Area = 5×√3 × (Edge Length) 2.
5 days ago · The regular icosahedron (often simply called "the" icosahedron) is the regular polyhedron and Platonic solid having 12 polyhedron vertices, 30 polyhedron edges, and 20 equivalent equilateral triangle faces, .
The name “icosahedron,” which derives from the Greek terms “íkosi” (which means twenty) and “hédra” (which implies seat or face), describes a fascinating shape with special features that is an integral part of the world we live in. Grade Appropriateness.
An icosahedron is a regular polyhedron that has 20 faces. All the faces are equilateral triangles and are all congruent, that is, all the same size. It is one of the five Platonic solids.
5 days ago · The regular icosahedron, often simply called "the" icosahedron, is the regular polyhedron and Platonic solid illustrated above having 12 polyhedron vertices, 30 polyhedron edges, and 20 equivalent equilateral triangle faces, 20{3}. It is illustrated above together with a wireframe version and a net that can be used for its construction.
The figure below shows three parts that make up an icosahedron: faces, edges, and vertices. A regular icosahedron is one of 5 Platonic solids, which are types of regular polyhedra. Below are the properties of a regular icosahedron. A regular icosahedron has 20 faces, each of which is an equilateral triangle.
An icosahedron is a polyhedron (a three dimensional shape) that is made of triangles and has twenty sides. There are many kinds of icosahedra, with some being more symmetrical than others. The best known is the regular icosahedron, a Platonic solid made of equilateral triangles . Regular icosahedra.
