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  2. Overlapping circles grid - Wikipedia

    en.wikipedia.org/wiki/Overlapping_circles_grid

    An overlapping circles grid is a geometric pattern of repeating, overlapping circles of an equal radius in two-dimensional space.Commonly, designs are based on circles centered on triangles (with the simple, two circle form named vesica piscis) or on the square lattice pattern of points.

  3. Circle packing - Wikipedia

    en.wikipedia.org/wiki/Circle_packing

    The most efficient way to pack different-sized circles together is not obvious. In geometry, circle packing is the study of the arrangement of circles (of equal or varying sizes) on a given surface such that no overlapping occurs and so that no circle can be enlarged without creating an overlap.

  4. Hexafoil - Wikipedia

    en.wikipedia.org/wiki/Hexafoil

    The second circle is centered at any point on the first circle. All following circles are centered on the intersection of two other circles. The design is sometimes expanded into a regular overlapping circles grid. Bartfeld (2005) describes the construction: "This design consists of circles having a 1-[inch] radius, with each point of ...

  5. Hexagonal tiling - Wikipedia

    en.wikipedia.org/wiki/Hexagonal_tiling

    Hexagonal tiling is the densest way to arrange circles in two dimensions. The honeycomb conjecture states that hexagonal tiling is the best way to divide a surface into regions of equal area with the least total perimeter.

  6. Grid plan - Wikipedia

    en.wikipedia.org/wiki/Grid_plan

    A grid plan from 1799 of Pori, Finland, by Isaac Tillberg. The city of Adelaide, South Australia was laid out in a grid, surrounded by gardens and parks. In urban planning, the grid plan, grid street plan, or gridiron plan is a type of city plan in which streets run at right angles to each other, forming a grid. [1]

  7. Doyle spiral - Wikipedia

    en.wikipedia.org/wiki/Doyle_spiral

    Non-Doyle spiral patterns obtained by placing unit circles at equal angular offsets on Fermat's spiral; the central image is the one with golden-ratio angular offsets. Tangent circles can form spiral patterns whose local structure resembles a square grid rather than a hexagonal grid, which can be continuously transformed into Doyle packings. [13]

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  9. Philips circle pattern - Wikipedia

    en.wikipedia.org/wiki/Philips_circle_pattern

    Philips circle pattern was also used by Channel 7 from 1995 (when station was replacing its previously Telefunken FuBK [102] [103] which was used from 1982 until 1995) [104] [105] [106] until it switched to a 24/7 schedule on 11 March 2010. the Philips circle pattern was also used by MCOT HD (then as Channel 9) [107] from 1995 until it switched ...