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  2. Incidence structure - Wikipedia

    en.wikipedia.org/wiki/Incidence_structure

    Any graph (which need not be simple; loops and multiple edges are allowed) is a uniform incidence structure with two points per line. For these examples, the vertices of the graph form the point set, the edges of the graph form the line set, and incidence means that a vertex is an endpoint of an edge.

  3. Topological geometry - Wikipedia

    en.wikipedia.org/wiki/Topological_Geometry

    Topological geometry deals with incidence structures consisting of a point set and a family of subsets of called lines or circles etc. such that both and carry a topology and all geometric operations like joining points by a line or intersecting lines are continuous.

  4. Line of nodes - Wikipedia

    en.wikipedia.org/?title=Line_of_nodes&redirect=no

    Line of nodes. Add languages. Add links. Article; Talk; English. ... Download as PDF; Printable version; In other projects ... Line (geometry)

  5. Graph theory - Wikipedia

    en.wikipedia.org/wiki/Graph_theory

    In mathematics and computer science, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of vertices (also called nodes or points) which are connected by edges (also called arcs, links or lines).

  6. Incidence geometry - Wikipedia

    en.wikipedia.org/wiki/Incidence_geometry

    In mathematics, incidence geometry is the study of incidence structures. A geometric structure such as the Euclidean plane is a complicated object that involves concepts such as length, angles, continuity, betweenness, and incidence .

  7. Incidence (geometry) - Wikipedia

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

    In geometry, an incidence relation is a heterogeneous relation that captures the idea being expressed when phrases such as "a point lies on a line" or "a line is contained in a plane" are used. The most basic incidence relation is that between a point, P , and a line, l , sometimes denoted P I l .

  8. List of mathematical shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_shapes

    For example, in a polyhedron (3-dimensional polytope), a face is a facet, an edge is a ridge, and a vertex is a peak. Vertex figure: not itself an element of a polytope, but a diagram showing how the elements meet.

  9. Arrangement of lines - Wikipedia

    en.wikipedia.org/wiki/Arrangement_of_lines

    The dual graph of a line arrangement has one node per cell and one edge linking any pair of cells that share an edge of the arrangement. These graphs are partial cubes, graphs in which the nodes can be labeled by bitvectors in such a way that the graph distance equals the Hamming distance between labels.

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