2002.08.26

sorry Vitruvius, sorry da Vinci

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Sorry Vitruvius, sorry da Vinci, but that circle/square diagram the two of you made famous is not at all the point. There is a whole other circle/square diagram found in the cosmos/nature, art, architecture, and theory that surpasses any circle/square diagramming the two of you did.   001

The space between the orbits of the planets Mars and Jupitur and the space between the orbits of the planets Saturn and Uranus come very close to conforming to a diagram of consecutive tangential circles and squares. Mathematically, each circle and square combination is followed by another circle and square combination that is exactly double the area of the initial circle and square combination.   002

Doryphorus by Polyclitus circa 450 B.C. was know as "The Canon" because it embodied the correct proportions of ideal male form.   003

Draw a circle in a square with the diameter of the circle being equal to a side of the square. Draw another circle concentric with the first and having a diameter equal to the diagonal of the square. The second circle is twice as great in area as the first circle. Likewise, another square tangent on all sides to the greater circle is twice the area of the first square. Sebastiano Serlio, L'Architettura: Geometry (1537-1551).   004

Andrea Palladio, Villa Capra (Vicenza: 1552-).   005

Giovanni Battista Piranesi, Porticus Neronianae (Ichnographia Campus Martius: 1761).   006

Frank Lloyd Wright, Oak Park Home and Studio Ceiling Grille Box (Oak Park, IL: 1895).   007

Louis I. Kahn, Goldenberg House (Rydal, PA: plan, 1959, unbuilt).   008

Louis I. Kahn, Assembly Building (Islamabad, Pakistan: plan, 1963-66, unbuilt).   009

Louis I. Kahn, Hurva Synagogue (Jerusalem: plan; third scheme, 1967-74, unbuilt).   010

Stephen Lauf, First Gauge of the Timepiece of Humanity (Philadelphia: 1995).   011

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