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  2. 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.

  3. Rabatment of the rectangle - Wikipedia

    en.wikipedia.org/wiki/Rabatment_of_the_rectangle

    Rabatment of the rectangle is a compositional technique used as an aid for the placement of objects or the division of space within a rectangular frame, or as an aid for the study of art. Every rectangle contains two implied squares, each consisting of a short side of the rectangle, an equal length along each longer side, and an imaginary ...

  4. Dynamic rectangle - Wikipedia

    en.wikipedia.org/wiki/Dynamic_rectangle

    Hambidge distinguishes these from rectangles with rational proportions, which he terms static rectangles. [3] According to him, root-2, 3, 4 and 5 rectangles are often found in Gothic and Classical Greek and Roman art, objects and architecture, while rectangles with aspect ratios greater than root-5 are seldom found in human designs. [4]

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  6. List of works designed with the golden ratio - Wikipedia

    en.wikipedia.org/wiki/List_of_works_designed...

    Many works of art are claimed to have been designed using the golden ratio. However, many of these claims are disputed, or refuted by measurement. [1] The golden ratio, an irrational number, is approximately 1.618; it is often denoted by the Greek letter φ .

  7. Elements of art - Wikipedia

    en.wikipedia.org/wiki/Elements_of_art

    There are different types of shapes an artist can use and fall under either geometrical shapes, defined by mathematics, or organic shapes, created by an artist. [ 3 ] [ 4 ] Simplistic, geometrical shapes include circles, triangles and squares, and provide a symbolic and synthetic feeling, whereas acute angled shapes with sharp points are ...

  8. Mathematics and art - Wikipedia

    en.wikipedia.org/wiki/Mathematics_and_art

    Mathematics in art: Albrecht Dürer's copper plate engraving Melencolia I, 1514. Mathematical references include a compass for geometry, a magic square and a truncated rhombohedron, while measurement is indicated by the scales and hourglass. [1] Wireframe drawing [2] of a vase as a solid of revolution [2] by Paolo Uccello. 15th century

  9. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    Stacking golden rectangles produces golden rectangles anew, and removing or adding squares from golden rectangles leaves rectangles still proportioned in ⁠ ⁠ ratio. They can be generated by golden spirals , through successive Fibonacci and Lucas number-sized squares and quarter circles.

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