Definition of Vertex of a solid. Meaning of Vertex of a solid. Synonyms of Vertex of a solid

Here you will find one or more explanations in English for the word Vertex of a solid. Also in the bottom left of the page several parts of wikipedia pages related to the word Vertex of a solid and, of course, Vertex of a solid synonyms and on the right images related to the word Vertex of a solid.

Definition of Vertex of a solid

Vertex of a solid
Vertex Ver"tex, n.; pl. Vertexes, L. Vertices. [L. vertex, -icis, a whirl, top of the head, top, summit, from vertere to turn. See Verse, and cf. Vortex.] A turning point; the principal or highest point; top; summit; crown; apex. Specifically: (a) (Anat.) The top, or crown, of the head. (b) (Anat.) The zenith, or the point of the heavens directly overhead. (c) (Math.) The point in any figure opposite to, and farthest from, the base; the terminating point of some particular line or lines in a figure or a curve; the top, or the point opposite the base. Note: The principal vertex of a conic section is, in the parabola, the vertex of the axis of the curve: in the ellipse, either extremity of either axis, but usually the left-hand vertex of the transverse axis; in the hyperbola, either vertex, but usually the right-hand vertex of the transverse axis. Vertex of a curve (Math.), the point in which the axis of the curve intersects it. Vertex of an angle (Math.), the point in which the sides of the angle meet. Vertex of a solid, or of a surface of revolution (Math.), the point in which the axis pierces the surface.

Meaning of Vertex of a solid from wikipedia

- same number of faces meet at each vertex. There are only five such polyhedra: Geometers have studied the Platonic solids for thousands of years. They...
- Archimedean solid because it is not vertex-transitive. The Archimedean solids have a single vertex configuration and highly symmetric properties. A vertex configuration...
- symmetric. Their dual, the Archimedean solids, are vertex-transitive but not face-transitive. Each Catalan solid has constant dihedral angles, meaning...
- Solid geometry or stereometry is the geometry of three-dimensional Euclidean space (3D space). A solid figure is the region of 3D space bounded by a two-dimensional...
- a solid angle (symbol: Ω) is a measure of the amount of the field of view from some particular point that a given object covers. That is, it is a measure...
- From all of the Johnson solids, the elongated square gyrobicupola (also called the pseudorhombicuboctahedron) is unique in being locally vertex-uniform:...
- of global symmetries that map every vertex to every other vertex, unlike the 13 Archimedean solids. It is also a canonical polyhedron. For this reason...
- There are 12 related Johnson solids, 5 by diminishment, and 8 including gyrations: The rhombicosidodecahedron shares its vertex arrangement with three nonconvex...
- square gyrobicupola is a polyhedron that is similar to a rhombicuboctahedron, but it is not an Archimedean solid because it is not vertex-transitive. The rhombicuboctahedron...
- each separating a triangle from a square. As such, it is a quasiregular polyhedron, i.e., an Archimedean solid that is not only vertex-transitive but also...