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  2. Graph paper - Wikipedia

    en.wikipedia.org/wiki/Graph_paper

    [8] Polar coordinate paper has concentric circles divided into small arcs or 'pie wedges' to allow plotting in polar coordinates. Ternary (triangular) graph paper has an equilateral triangle, divided into smaller equilateral triangles with usually 10 or more divisions per edge. It is used to plot compositional percentages of in systems that ...

  3. Hadwiger–Nelson problem - Wikipedia

    en.wikipedia.org/wiki/Hadwiger–Nelson_problem

    According to Jensen & Toft (1995), the problem was first formulated by Nelson in 1950, and first published by Gardner (1960). Hadwiger (1945) had earlier published a related result, showing that any cover of the plane by five congruent closed sets contains a unit distance in one of the sets, and he also mentioned the problem in a later paper (Hadwiger 1961).

  4. Analytic geometry - Wikipedia

    en.wikipedia.org/wiki/Analytic_geometry

    Illustration of a Cartesian coordinate plane. Four points are marked and labeled with their coordinates: (2,3) in green, (−3,1) in red, (−1.5,−2.5) in blue, and the origin (0,0) in purple. In analytic geometry, the plane is given a coordinate system, by which every point has a pair of real number coordinates.

  5. Levi graph - Wikipedia

    en.wikipedia.org/wiki/Levi_graph

    The Heawood graph is the Levi graph of the Fano plane. It is also known as the (3,6)-cage, and is 3-regular with 14 vertices. The Möbius–Kantor graph is the Levi graph of the Möbius–Kantor configuration, a system of 8 points and 8 lines that cannot be realized by straight lines in the Euclidean plane. It is 3-regular with 16 vertices.

  6. Euclidean plane - Wikipedia

    en.wikipedia.org/wiki/Euclidean_plane

    In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect only at their endpoints. In other words, it can be drawn in such a way that no edges cross each other. [9] Such a drawing is called a plane graph or planar embedding of the graph.

  7. Lattice graph - Wikipedia

    en.wikipedia.org/wiki/Lattice_graph

    A common type of lattice graph (known under different names, such as grid graph or square grid graph) is the graph whose vertices correspond to the points in the plane with integer coordinates, x-coordinates being in the range 1, ..., n, y-coordinates being in the range 1, ..., m, and two vertices being connected by an edge whenever the corresponding points are at distance 1.