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  2. Kite (geometry) - Wikipedia

    en.wikipedia.org/wiki/Kite_(geometry)

    Among all quadrilaterals, the shape that has the greatest ratio of its perimeter to its diameter (maximum distance between any two points) is an equidiagonal kite with angles 60°, 75°, 150°, 75°. Its four vertices lie at the three corners and one of the side midpoints of the Reuleaux triangle .

  3. File:Reuleaux kite.svg - Wikipedia

    en.wikipedia.org/wiki/File:Reuleaux_kite.svg

    English: A kite with angles π/3, 5π/12, 5π/6, and 5π/12, inscribed within a Reuleaux triangle.Among all quadrilaterals, this shape is the one maximizing the ratio of perimeter to diameter: see Ball, D.G. (1973), "A generalisation of π", Mathematical Gazette 57 (402): 298–303, and Griffiths, David; Culpin, David (1975), "Pi-optimal polygons", Mathematical Gazette 59 (409): 165–175.

  4. Lute of Pythagoras - Wikipedia

    en.wikipedia.org/wiki/Lute_of_Pythagoras

    The convex hull of the lute is a kite shape with three 108° angles and one 36° angle. [2] The sizes of any two consecutive pentagrams in the sequence are in the golden ratio to each other, and many other instances of the golden ratio appear within the lute.

  5. Deltoidal icositetrahedron - Wikipedia

    en.wikipedia.org/wiki/Deltoidal_icositetrahedron

    In a deltoidal icositetrahedron, each face is a kite-shaped quadrilateral. The side lengths of these kites can be expressed in the ratio 0.7731900694928638:1 Specifically, the side adjacent to the obtuse angle has a length of approximately 0.707106785, while the side adjacent to the acute angle has a length of approximately 0.914213565.

  6. Right kite - Wikipedia

    en.wikipedia.org/wiki/Right_kite

    A right kite with its circumcircle and incircle. The leftmost and rightmost vertices have right angles. In Euclidean geometry, a right kite is a kite (a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other) that can be inscribed in a circle. [1]

  7. Reuleaux triangle - Wikipedia

    en.wikipedia.org/wiki/Reuleaux_triangle

    The boundary of a Reuleaux triangle is a constant width curve based on an equilateral triangle. All points on a side are equidistant from the opposite vertex. A Reuleaux triangle is a curved triangle with constant width, the simplest and best known curve of constant width other than the circle. [1]

  8. 4 predictions for the US housing market in 2025, according to ...

    www.aol.com/news/4-predictions-us-housing-market...

    Zillow predicts the US housing market will keep shifting in 2025.. The real-estate firm says the average home value rose by 2.6% annually in October. It says homebuying activity should pick up ...

  9. Outline of geometry - Wikipedia

    en.wikipedia.org/wiki/Outline_of_geometry

    Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Geometry is one of the oldest mathematical sciences. Geometry is one of the oldest mathematical sciences.