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  2. Chord diagram (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Chord_diagram_(mathematics)

    Chord diagrams are conventionally visualized by arranging the objects in their order around a circle, and drawing the pairs of the matching as chords of the circle. The number of different chord diagrams that may be given for a set of 2 n {\displaystyle 2n} cyclically ordered objects is the double factorial ( 2 n − 1 ) ! ! {\displaystyle (2n ...

  3. Unicursal hexagram - Wikipedia

    en.wikipedia.org/wiki/Unicursal_hexagram

    In his work titled Essays upon the Mathematics of Mordente: One Hundred and Sixty Articles against the Mathematicians and Philosophers of this Age (Prague: 1588), [2] Italian philosopher, cosmological theorist, and Hermetic occultist Giordano Bruno used the unicursal hexagram symbol to represent Figura Amoris ("figure of love") [2] part of the Hermetic trinity in his mathesis.

  4. Hexafoil - Wikipedia

    en.wikipedia.org/wiki/Hexafoil

    The pattern figure can be drawn by pen and compass, by creating seven interlinking circles of the same diameter touching the previous circle's center. The second circle is centered at any point on the first circle. All following circles are centered on the intersection of two other circles.

  5. Hexagram - Wikipedia

    en.wikipedia.org/wiki/Hexagram

    A six-pointed star, like a regular hexagon, can be created using a compass and a straight edge: . Make a circle of any size with the compass. Without changing the radius of the compass, set its pivot on the circle's circumference, and find one of the two points where a new circle would intersect the first circle.

  6. Midpoint circle algorithm - Wikipedia

    en.wikipedia.org/wiki/Midpoint_circle_algorithm

    A circle of radius 23 drawn by the Bresenham algorithm. In computer graphics, the midpoint circle algorithm is an algorithm used to determine the points needed for rasterizing a circle. It is a generalization of Bresenham's line algorithm. The algorithm can be further generalized to conic sections. [1] [2] [3]

  7. Nine-point circle - Wikipedia

    en.wikipedia.org/wiki/Nine-point_circle

    The circle is an instance of a conic section and the nine-point circle is an instance of the general nine-point conic that has been constructed with relation to a triangle ABC and a fourth point P, where the particular nine-point circle instance arises when P is the orthocenter of ABC.

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  9. Dividing a circle into areas - Wikipedia

    en.wikipedia.org/wiki/Dividing_a_circle_into_areas

    The number of points (n), chords (c) and regions (r G) for first 6 terms of Moser's circle problem. In geometry, the problem of dividing a circle into areas by means of an inscribed polygon with n sides in such a way as to maximise the number of areas created by the edges and diagonals, sometimes called Moser's circle problem (named after Leo Moser), has a solution by an inductive method.