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  2. Rhombus - Wikipedia

    en.wikipedia.org/wiki/Rhombus

    A rhombus therefore has all of the properties of a parallelogram: for example, opposite sides are parallel; adjacent angles are supplementary; the two diagonals bisect one another; any line through the midpoint bisects the area; and the sum of the squares of the sides equals the sum of the squares of the diagonals (the parallelogram law).

  3. Moser's worm problem - Wikipedia

    en.wikipedia.org/wiki/Moser's_worm_problem

    Khandhawit, Pagonakis & Sriswasdi (2013) used a min-max strategy for area of a convex set containing a segment, a triangle and a rectangle to show a lower bound of 0.232239 for a convex cover. In the 1970s, John Wetzel conjectured that a 30° circular sector of unit radius is a cover with area π / 12 ≈ 0.2618 {\displaystyle \pi /12\approx 0. ...

  4. List of second moments of area - Wikipedia

    en.wikipedia.org/wiki/List_of_second_moments_of_area

    Regular polygons; Description Figure Second moment of area Comment A filled regular (equiliteral) triangle with a side length of a = = [6] The result is valid for both a horizontal and a vertical axis through the centroid, and therefore is also valid for an axis with arbitrary direction that passes through the origin.

  5. Area - Wikipedia

    en.wikipedia.org/wiki/Area

    Area is the measure of a region's size on a surface. ... Rhombus/Kite = Parallelogram = ... The question of the filling area of the Riemannian circle remains open.

  6. Lozenge (shape) - Wikipedia

    en.wikipedia.org/wiki/Lozenge_(shape)

    The definition of lozenge is not strictly fixed, and the word is sometimes used simply as a synonym (from Old French losenge) for rhombus. Most often, though, lozenge refers to a thin rhombus—a rhombus with two acute and two obtuse angles, especially one with acute angles of 45°. [ 2 ]

  7. Rhombicosidodecahedron - Wikipedia

    en.wikipedia.org/wiki/Rhombicosidodecahedron

    If you expand an icosidodecahedron by moving the faces away from the origin the right amount, without changing the orientation or size of the faces, and patch the square holes in the result, you get a rhombicosidodecahedron.

  8. Leonard Nimoy's Widow Susan Bay Nimoy Says His Family ... - AOL

    www.aol.com/lifestyle/leonard-nimoys-widow-susan...

    Eric Charbonneau/Getty. Susan Bay Nimoy and Leonard Nimoy in Los Angeles, California in May 2013.

  9. Golden rhombus - Wikipedia

    en.wikipedia.org/wiki/Golden_rhombus

    The golden rhombus. In geometry, a golden rhombus is a rhombus whose diagonals are in the golden ratio: [1] = = + Equivalently, it is the Varignon parallelogram formed from the edge midpoints of a golden rectangle. [1]