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Vertex (geometry) A vertex of an angle is the endpoint where two lines or rays come together. In geometry, a vertex ( pl.: vertices or vertexes) is a point where two or more curves, lines, or edges meet or intersect. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra ...
The regular dodecahedron is a polyhedron with 12 pentagonal faces, 30 edges, and 20 vertices. [ 1] It is one of the Platonic solids, a set of polyhedrons in which the faces are regular polygons that are congruent and the same number of faces meet at a vertex. [ 2] This set of polyhedrons is named after Plato.
Dodecahedron. In geometry, a dodecahedron (from Ancient Greek δωδεκάεδρον (dōdekáedron); from δώδεκα (dṓdeka) 'twelve' and ἕδρα (hédra) 'base, seat, face') or duodecahedron[ 1] is any polyhedron with twelve flat faces. The most familiar dodecahedron is the regular dodecahedron with regular pentagons as faces, which is ...
The rhombic dodecahedron is a zonohedron. [ 1] Its polyhedral dual is the cuboctahedron. The long face-diagonal length is exactly √ 2 times the short face-diagonal length; thus, the acute angles on each face measure arccos ( 1 3 ), or approximately 70.53°. Being the dual of an Archimedean polyhedron, the rhombic dodecahedron is face ...
The vertices of the arrangement are isolated points belonging to two or more lines, where those lines cross each other. The boundary of a cell is the system of edges that touch it, and the boundary of an edge is the set of vertices that touch it (one vertex for a ray and two for a line segment).
3D model of a cone. A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex . A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all of the points on a base that is in a plane that ...
In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices). The word is derived from the Latin words quadri, a variant of four, and latus, meaning "side".
Incircle and excircles. Incircle and excircles of a triangle. In geometry, the incircle or inscribed circle of a triangle is the largest circle that can be contained in the triangle; it touches (is tangent to) the three sides. The center of the incircle is a triangle center called the triangle's incenter. [1] An excircle or escribed circle [2 ...
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It’s an amazing resource for teachers & homeschoolers - Teaching Mama