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  2. Vertex (geometry) - Wikipedia

    en.wikipedia.org/wiki/Vertex_(geometry)

    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 ...

  3. Centroid - Wikipedia

    en.wikipedia.org/wiki/Centroid

    Centroid. In mathematics and physics, the centroid, also known as geometric center or center of figure, of a plane figure or solid figure is the arithmetic mean position of all the points in the surface of the figure. [further explanation needed] The same definition extends to any object in - dimensional Euclidean space.

  4. Rhombicosidodecahedron - Wikipedia

    en.wikipedia.org/wiki/Rhombicosidodecahedron

    Net. In geometry, the rhombicosidodecahedron is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces . It has 20 regular triangular faces, 30 square faces, 12 regular pentagonal faces, 60 vertices, and 120 edges .

  5. Simplex - Wikipedia

    en.wikipedia.org/wiki/Simplex

    Simplex. The four simplexes that can be fully represented in 3D space. In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions. The simplex is so-named because it represents the simplest possible polytope in any given dimension.

  6. Ceva's theorem - Wikipedia

    en.wikipedia.org/wiki/Ceva's_theorem

    In Euclidean geometry, Ceva's theorem is a theorem about triangles. Given a triangle ABC, let the lines AO, BO, CO be drawn from the vertices to a common point O (not on one of the sides of ABC ), to meet opposite sides at D, E, F respectively. (The segments AD, BE, CF are known as cevians .) Then, using signed lengths of segments ,

  7. Unit distance graph - Wikipedia

    en.wikipedia.org/wiki/Unit_distance_graph

    A unit distance graph with 16 vertices and 40 edges. In mathematics, particularly geometric graph theory, a unit distance graph is a graph formed from a collection of points in the Euclidean plane by connecting two points whenever the distance between them is exactly one. To distinguish these graphs from a broader definition that allows some ...

  8. Octant (solid geometry) - Wikipedia

    en.wikipedia.org/wiki/Octant_(solid_geometry)

    Octant (solid geometry) Three axial planes ( x =0, y =0, z =0) divide space into eight octants. The eight (±,±,±) coordinates of the cube vertices are used to denote them. The horizontal plane shows the four quadrants between x - and y -axis. (Vertex numbers are little-endian balanced ternary.) An octant in solid geometry is one of the eight ...

  9. Arrangement of lines - Wikipedia

    en.wikipedia.org/wiki/Arrangement_of_lines

    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).

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