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  2. Circle packing - Wikipedia

    en.wikipedia.org/wiki/Circle_packing

    A compact binary circle packing with the most similarly sized circles possible. [7] It is also the densest possible packing of discs with this size ratio (ratio of 0.6375559772 with packing fraction (area density) of 0.910683). [8] There are also a range of problems which permit the sizes of the circles to be non-uniform.

  3. Circle packing in a circle - Wikipedia

    en.wikipedia.org/wiki/Circle_packing_in_a_circle

    Circle packing in a circle is a two-dimensional packing problem with the objective of packing unit circles into the smallest possible larger circle. Table of solutions, 1 ≤ n ≤ 20 [ edit ]

  4. Packing problems - Wikipedia

    en.wikipedia.org/wiki/Packing_problems

    The hexagonal packing of circles on a 2-dimensional Euclidean plane. These problems are mathematically distinct from the ideas in the circle packing theorem.The related circle packing problem deals with packing circles, possibly of different sizes, on a surface, for instance the plane or a sphere.

  5. Farey sequence - Wikipedia

    en.wikipedia.org/wiki/Farey_sequence

    In the SVG image, hover over a circle or curve to highlight it and its terms. There is a connection between Farey sequence and Ford circles. For every fraction ⁠ p / q ⁠ (in its lowest terms) there is a Ford circle C[⁠ p / q ⁠], which is the circle with radius 1/(2q 2) and centre at (⁠ p / q ⁠, ⁠ 1 / 2q 2 ⁠).

  6. Great circle - Wikipedia

    en.wikipedia.org/wiki/Great_circle

    A great circle is the largest circle that can be drawn on any given sphere. Any diameter of any great circle coincides with a diameter of the sphere, and therefore every great circle is concentric with the sphere and shares the same radius. Any other circle of the sphere is called a small circle, and is the intersection of the sphere with a ...

  7. Circle packing in a square - Wikipedia

    en.wikipedia.org/wiki/Circle_packing_in_a_square

    Circle packing in a square is a packing problem in recreational mathematics, where the aim is to pack n unit circles into the smallest possible square. Equivalently, the problem is to arrange n points in a unit square aiming to get the greatest minimal separation, dn, between points. [ 1] To convert between these two formulations of the problem ...

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