CONVEX POLYHEDRON Meaning and
Definition
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A convex polyhedron can be defined as a three-dimensional solid figure that is both convex and polyhedral in nature. To better understand this terminology, let us break down the definition.
Firstly, "convex" refers to the characteristic of a shape where all its internal angles are less than 180 degrees, meaning that the shape does not have any indentations or concave regions. Thus, a convex polyhedron possesses this overall outwardly bulging or smooth shape.
Secondly, a "polyhedron" is a geometric figure that consists of multiple flat faces, straight edges, and sharp vertices. Therefore, a convex polyhedron exhibits this property, being formed by a collection of polygonal faces, straight line segments connecting those faces (edges), and points where the edges meet (vertices).
The faces of a convex polyhedron are always polygons, such as triangles, quadrilaterals, pentagons, or any other n-sided polygon, where n is a positive integer. Moreover, each face shares its vertices and edges with neighboring faces, forming a closed three-dimensional structure.
It is important to note that a convex polyhedron differs from a concave polyhedron, as the latter has at least one internal angle greater than 180 degrees, causing it to have indentations or hollow regions.
Convex polyhedra are fundamental in various branches of mathematics and engineering, providing insights into topics such as geometry, topology, and computer graphics. Their well-defined properties make them analytically and aesthetically intriguing for study and application.
Common Misspellings for CONVEX POLYHEDRON
- xonvex polyhedron
- vonvex polyhedron
- fonvex polyhedron
- donvex polyhedron
- cinvex polyhedron
- cknvex polyhedron
- clnvex polyhedron
- cpnvex polyhedron
- c0nvex polyhedron
- c9nvex polyhedron
- cobvex polyhedron
- comvex polyhedron
- cojvex polyhedron
- cohvex polyhedron
- concex polyhedron
- conbex polyhedron
- congex polyhedron
- confex polyhedron
- convwx polyhedron
Etymology of CONVEX POLYHEDRON
The word "convex" comes from the Latin word "convexus", which means "rounded, vaulted, or arched". It is derived from the prefix "con-", meaning "together", and the word "vexus", meaning "bent". "Polyhedron" also has Greek roots and is a combination of "poly-", meaning "many", and "-hedron", meaning "base or seat". Therefore, the etymology of "convex polyhedron" refers to a solid figure with many faces or bases that have a rounded or arched shape.
Similar spelling word for CONVEX POLYHEDRON
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