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    Gyorgy doczi biography of michaels

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  • The Power of Limits: Proportional Harmonies in Nature, Art, and Architecture

    November 21, 2009
    I checked this out from the library thinking that I would probably just skim it, but I got so engrossed in it that I read the whole thing.

    The topic is one of perpetual fascination to me, perhaps bordering on a minor obsession: the pervasiveness of certain geometric patterns and harmonious mathematical relationships all throughout the created order, and most specifically, the relationship known as the golden ratio, or .618….

    This unique and remarkable ratio manifests itself virtually everywhere one turns, in created works of both Divine and human origin: spiral galaxies, hurricanes, sunflowers, the chambered nautilus, the human hand and ear, notable works of architecture and graphic design, ancient Greek pottery, paintings by the likes of DaVinci and Seurat, musical harmonies, and a Boeing 747, all just for starters.

    No book could possibly be said to cover the topic exhaustively, but this