Octahedron - Wikipedia
Web3D model of regular octahedron. In geometry, an octahedron ( pl.: octahedra or octahedrons) is a polyhedron with eight faces. The term is most commonly used to refer to the regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex .
Octahedron - Shape, Meaning, Formula, Examples - Cuemath
WebAn octahedron is a shape that is formed by joining by two pyramids at its bases. Once joined the shape converts to 8 faced, 12 edges, and 6 vertices. An octahedron is most commonly known as the regular octahedron i.e. when …
Octahedron -- from Wolfram MathWorld
Web5 days ago · The regular octahedron, often simply called "the" octahedron, is the Platonic solid with six polyhedron vertices, 12 polyhedron edges, and eight equivalent equilateral triangular faces, denoted . It is also uniform polyhedron and Wenninger model . It is given by the Schläfli symbol and Wythoff symbol.
Octahedron – Definition, Properties, Formulas, & Diagrams
WebNov 27, 2023 · Definition. An octahedron is a polyhedron. It has eight faces, twelve edges, and six vertices. If we join two square pyramids at their bases, we can create a regular octahedron. It belongs to the family of five platonic solids.
Octahedron - Math.net
WebAn octahedron is a space figure with 8 faces that are polygons. In the figure below are 3 different types of octahedrons. The prefix "octa" means eight. An octahedron can be formed by two pyramids with bases in the shape of a quadrilateral, as shown in the figure below.
Octahedron Definition (Illustrated Mathematics Dictionary) - Math …
WebIllustrated definition of Octahedron: A polyhedron (a flat-sided solid object) with 8 Faces. When it is regular (side lengths are equal and angles...
Regular Octahedron -- from Wolfram MathWorld
WebThe regular octahedron, often simply called "the" octahedron, is the Platonic solid with six polyhedron vertices, 12 polyhedron edges, and eight equivalent equilateral triangular faces, denoted 8 {3}. It is illustrated above together with a wireframe version and a net that can be used for its construction.
Octahedron: Exploring Its Geometry and Real-World Applications
WebNov 12, 2023 · Key Takeaways. Understanding Octahedron: Definition and Basics. An octahedron is a geometric shape that falls under the category of polyhedra. It is a three-dimensional figure with eight faces, twelve edges, and six vertices. The term “octahedron ” is derived from the Greek words “octa” meaning eight and …
Octahedron - Encyclopedia of Mathematics
WebJul 30, 2014 · Octahedron. A solid figure having eight triangular faces, twelve edges and six vertices, with 4 faces at each vertex. If all edges have the same length, it is one of the five regular polyhedra (Platonic solids); if the edge length is $a$, then the volume of the octahedron is. $$v=\frac {a^3\sqrt 2} {3}\approx0.4714a^3.$$.
Octahedron - Simple English Wikipedia, the free encyclopedia
WebAn octahedron is a polyhedron made of eight faces. In the case of the regular octahedron, these faces are triangles. The octahedron looks like two pyramids, which share the same base. Dice: The one in the middle is an Octahedron. In chemistry, octahedra are common: diamonds and fluorite are examples of crystals that are octahedra.
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