Art and Science
Escher, M. C.
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Waterfall |
developed from an illusion by mathematician Roger Penrose; a six-step endlessly falling “strange loop” (based on mathematical principles of symmetry, paradox, illusion, and double-meaning), this is isomorphic with Bach’s six-step endlessly rising loop of the “Canon per Tonos.” – Hofstadter, Gödel, Escher, Bach: An Eternal Golden Braid (N.Y.: Basic Books, 1979/1999), 11-13 (13, “Bach and Escher are playing one single theme in two different ‘keys’: music and art.”). |
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Ascending and Descending |
developed from an illusion by mathematician Roger Penrose; Hofstadter, Gödel, Escher, Bach: An Eternal Golden Braid (N.Y.: Basic Books, 1979/1999), 12-13,15. |
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Metamorphosis II |
like (analogous with) Bach’s “Endlessly Rising Canon”; Hofstadter, Gödel, Escher, Bach: An Eternal Golden Braid (N.Y.: Basic Books, 1979/1999), 14-15. |
PHYSICS
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supersymmetry in physics,9 |
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BIOLOGY, PHYSIOLOGY, AND MOLECULAR BIOLOGY
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optic chiasm in physiology |
symmetrical principles of DNA (and not simply the double-helix).10 |
9 J. M. Evans, “Sypersymmetric Yang-Mills Theories and Division Algebras,” Nuclear Physics, B298 (1988), 92-108; John R. Gribbin, The Search for Superstrings, Symmetry, and the Theory of Everything (Penguin, 1998/Little, Brown & Co., 1999).
10 Matt Ridley, “Y Chromosome Exposed,” Discover, 25/1 (Jan 2004), 56 – re an international team led by David Page of MIT, finding a lengthy palindrome (mirror image) structure in the Y-chromosome.