CONCAVE POLYHEDRON Meaning and
Definition
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A concave polyhedron is a three-dimensional geometric shape that possesses both concave and convex regions on its surface. It is a closed figure that consists of flat polygons, called faces, connected by straight edges, while the vertices are the points where these edges intersect. However, unlike a convex polyhedron where its surface curves outward, a concave polyhedron has segments that appear to curve inward, resulting in a depressed or sunken appearance in certain regions.
The concavity of a polyhedron is determined by the angles at its vertices. If one or more vertices have an angle greater than 180 degrees, it creates an indentation or depression, leading to the concavity of the overall shape. These concave regions are often characterized by segments that curve towards the interior of the polyhedron rather than away from it.
It is important to note that a concave polyhedron is not a regular shape, as regular polyhedra are always convex. Examples of concave polyhedra include stellated dodecahedra, antiprisms, and certain irregular pyramids.
The study of concave polyhedra helps in understanding the geometric properties, relationships between faces, edges, and vertices, and their overall structure. Concave polyhedra have unique features that differ from their convex counterparts, making them an interesting field of study within geometry and mathematics as a whole.
Common Misspellings for CONCAVE POLYHEDRON
- xoncave polyhedron
- voncave polyhedron
- foncave polyhedron
- doncave polyhedron
- cincave polyhedron
- ckncave polyhedron
- clncave polyhedron
- cpncave polyhedron
- c0ncave polyhedron
- c9ncave polyhedron
- cobcave polyhedron
- comcave polyhedron
- cojcave polyhedron
- cohcave polyhedron
- conxave polyhedron
- convave polyhedron
- confave polyhedron
- condave polyhedron
- conczve polyhedron
Etymology of CONCAVE POLYHEDRON
The term "concave polyhedron" is derived from two sources - the Latin word "concavus" and the Greek word "polyhedron".
1. Concavus: This Latin word translates to "hollow" or "curving inward". It is formed by combining the prefix "con-" meaning "together" or "with" and the root "cavus" meaning "cave" or "hollow". In the context of a polyhedron, "concave" describes a three-dimensional shape that has at least one inwardly curving face or edge.
2. Polyhedron: The word "polyhedron" comes from the Greek roots "poly-" meaning "many" and "hedra" meaning "base" or "seat". A polyhedron is a geometric solid with flat faces, straight edges, and vertices.
Similar spelling word for CONCAVE POLYHEDRON
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