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  2. Perimeter - Wikipedia

    en.wikipedia.org/wiki/Perimeter

    For example, the perimeter of a rectangle of width 0.001 and length 1000 is slightly above 2000, while the perimeter of a rectangle of width 0.5 and length 2 is 5. Both areas are equal to 1. Proclus (5th century) reported that Greek peasants "fairly" parted fields relying on their perimeters. [ 2 ]

  3. Superellipse - Wikipedia

    en.wikipedia.org/wiki/Superellipse

    Examples of superellipses for =, =. A superellipse, also known as a Lamé curve after Gabriel Lamé, is a closed curve resembling the ellipse, retaining the geometric features of semi-major axis and semi-minor axis, and symmetry about them, but defined by an equation that allows for various shapes between a rectangle and an ellipse.

  4. Roundness - Wikipedia

    en.wikipedia.org/wiki/Roundness

    Roundness = ⁠ Perimeter 2 / 4 π × Area ⁠. This ratio will be 1 for a circle and greater than 1 for non-circular shapes. Another definition is the inverse of that: Roundness = ⁠ 4 π × Area / Perimeter 2 ⁠, which is 1 for a perfect circle and goes down as far as 0 for highly non-circular shapes.

  5. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    A golden rectangle—that is, a rectangle with an aspect ratio of ⁠ ⁠ —may be cut into a square and a smaller rectangle with the same aspect ratio. The golden ratio has been used to analyze the proportions of natural objects and artificial systems such as financial markets , in some cases based on dubious fits to data. [ 8 ]

  6. Hydraulic diameter - Wikipedia

    en.wikipedia.org/wiki/Hydraulic_diameter

    Using this term, one can calculate many things in the same way as for a round tube. When the cross-section is uniform along the tube or channel length, it is defined as [1] [2] =, where A is the cross-sectional area of the flow, P is the wetted perimeter of the cross-section.

  7. Golden rectangle - Wikipedia

    en.wikipedia.org/wiki/Golden_rectangle

    In geometry, a golden rectangle is a rectangle with side lengths in golden ratio +:, or ⁠:, ⁠ with ⁠ ⁠ approximately equal to 1.618 or 89/55. Golden rectangles exhibit a special form of self-similarity : if a square is added to the long side, or removed from the short side, the result is a golden rectangle as well.

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  9. Squircle - Wikipedia

    en.wikipedia.org/wiki/Squircle

    Squircle centred on the origin (a = b = 0) with minor radius r = 1: x 4 + y 4 = 1A squircle is a shape intermediate between a square and a circle.There are at least two definitions of "squircle" in use, one based on the superellipse, the other arising from work in optics.