# What is a polyhedron

Polyhedron in geometry, a polyhedron is a solid in three dimensions with flat faces and straight edges the word polyhedron comes from the classical greek πολύεδρον, as poly- + -hedron. A polyhedron is a convex if a diagonal contains only points inside of the polyhedron the convex polyhedron is a solid bounded by finitely many planar polygons so that it lies on one side of the plane of each of the polygons. An octahedron (plural: octahedra) is a polyhedron with eight faces a regular octahedron is a platonic solid composed of eight equilateral triangles, four of which meet at each vertex. Convex polyhedron - a polyhedron any plane section of which is a convex polygon concave polyhedron - a polyhedron some of whose plane sections are concave polygons prism - a polyhedron with two congruent and parallel faces (the bases) and whose lateral faces are parallelograms.

Polyhedrons a polyhedron is a closed, three-dimensional solid bounded entirely by at least four polygons, no two of which are in the same plane polygons are flat, two-dimensional figures (planes) bounded by straight sides. A polyhedron (one polyhedron, many polyhedra, or polyhedrons) is a geometrical shape it has flat faces, and straight edges usually it is defined by the number of . A polyhedron (or planer body) is a solid or hollow body that is made up entirely of plane faces and is three-dimensional for example, a cuboid is a polyhedron as it .

Polyhedron, in euclidean geometry, a three-dimensional object composed of a finite number of polygonal surfaces (faces) technically, a polyhedron is the boundary between the interior and exterior of a solid. A tetrahedron, for example, is a polyhedron having four triangular sides ♦ a regular polyhedron is a polyhedron whose faces are all congruent regular polygons the regular tetrahedron (pyramid), hexahedron (cube), octahedron, dodecahedron, and icosahedron are the five regular polyhedrons. Polyhedra a polyhedron is the three-dimensional version of a polygon: it is a chunk of space with flat walls in other words, it is a three-dimensional figure made by gluing polygons together.

A solid with flat faces (from greek poly- meaning many and -hedron meaning face) each flat surface (or face) is a polygon polyhedron examples: prisms, pyramids, cubes and many more. What is the net of a polyhedron – may you ask it is simply a sheet of cardboard whose folding gives the polyhedron this is true, but there’s more the concept of the net of a polyhedron contains something more than just a sheet of cardboard. Polyhedron is a geometric expression, which does not have curved surfaces or edges the entire faces in a polyhedron are considered as the polygon example :. The word polyhedron has slightly different meanings in geometry and algebraic geometry in geometry, a polyhedron is simply a three-dimensional solid which consists of a collection of polygons, usually joined at their edges. A polyhedron (a) is said to be the summital or facial holohedron of another (b) when the faces or vertices of a correspond to the edges of b, and the vertices or faces of a correspond to the vertices and faces together of b.

## What is a polyhedron

Polyhedron definition is - a solid formed by plane faces a solid formed by plane faces see the full definition since 1828 menu join mwu gain access to . A polyhedron is a three dimensional shape bounded by a series of flat planes which are known as faces a simple example is a cube, a six-faced polyhedron made with . So, quite literally, a polyhedron is a three-dimensional object with many faces the faces of a cube are squares the faces of a rectangular prism are rectangles.

- The polyhedra that euler studied was not the same as we call polyhedra today today a polyhedra is a body with (only) flat polygonal faces those that euler studied was a subset of these.
- Polyhedra, in geometry, a polyhedron (plural polyhedra or polyhedrons) is a solid in three dimensions with flat polygonal faces, straight edges and sharp.

A polyhedron with two congruent and parallel faces (the bases) and whose lateral faces are parallelograms pyramid a polyhedron having a polygonal base and triangular sides with a common vertex. 1 introduction in june of 1998 lynnclaire dennis and members of the sequoia symposium showed me a 120 triangular faced polyhedron that was important to her because she experienced this watery polyhedron during a near death experience. A polyhedron is any three-dimensional figure with flat surfaces that are polygons specifically, any geometric shape existing in three-dimensions and having flat faces, each existing in two-dimensions, which intersect at straight, linear edges.