Introduction

  • István Hargittai
  • Magdolna Hargittai

Abstract

If it is possible at all to pinpoint the beginning of our interest in symmetry, it was in the late 1960s, early 1970s, when we rediscovered that symmetry was a useful classifying principle in our molecular structure research. Looking for symmetry saved us time in learning and helped us understand complex matters.

Keywords

Crystallization Dust Mirror Symmetry Sonal Willow 

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Notes

  1. 1.
    Hargittai, I.; Hargittai, M., Symmetry through the Eyes of a Chemist, 2nd ed., Plenum Press, New York, 1995.Google Scholar
  2. 2.
    Hargittai, M.; Hargittai, I., Discover Symmetry (in Hungarian), Tankönyvkiadó, Budapest, 1989. Revised Swedish edition, Upptäck Symmetri!, Natur och Kultur, Stockholm, 1998.Google Scholar
  3. 3.
    Russel Lincoln Ackoff (b. 1919), quoted in Mackay, A. L., A Dictionary of Scientific Quotations, Adam Hilger, Bristol, 1991.Google Scholar
  4. 4.
    White, J., “Pinecones,” Sci. News 1997, 151(9) March 1, S23. We thank Judy White for permission to quote her poem.Google Scholar
  5. 5.
    The adjective “due” in front of “proportion” implies some moral criterion. Mackay, A. L., “But What Is Symmetry?” in Hargittai, I. (ed.), Symmetry: Unifying Human Understanding, Pergamon Press, New York, 1986, pp. 19–20.Google Scholar
  6. 6.
    Shubnikov, A. V., Symmetry and Antisymmetry of Finite Figures (in Russian, Simmetriya i antisimmetriya konechnikh figur), Izd. Akad. Nauk SSSR, Moscow, 1951.Google Scholar
  7. 7.
    Coxeter, H. S. M., Regular Polytopes, 3rd ed. Dover Publications, New York, 1973.Google Scholar
  8. 8.
    Fuller, R. B., Synergetics: Explorations in the Geometry of Thinking, Macmillan, New York, 1975.Google Scholar
  9. 9.
    Weyl, H., Symmetry, Princeton University Press, Princeton, New Jersey, 1952.Google Scholar
  10. 10.
    Feynman, R., The Character of Physical Law, MIT Press, Cambridge, 1965, p. 84.Google Scholar
  11. 11.
    Rouvray, D. H. (ed.), Concepts in Chemistry: A Contemporary Challenge, Wiley, New York, 1997, p. 1.Google Scholar
  12. 12.
    Gardner, M., Statement on the dust jacket of McNeill, D.; Freiberger, P., Fuzzy Logic, Simon and Schuster, New York, 1993. Quoted after Rouvray (ref. 11).Google Scholar
  13. 13.
    In Dresden, M., H. A. Kramers: Between Tradition and Revolution, Springer, New York, 1987, p. 539. Quoted after Rouvray (ref. 11).Google Scholar
  14. 14.
    Mann, T., The Magic Mountain, translated from the German by H. T. Lowe-Porter, Alfred A. Knopf, New York, 1946.Google Scholar
  15. 15.
    Mackay, A. L., A Dictionary of Scientific Quotations, Adam Hilger, Bristol, 1991.Google Scholar
  16. 16.
    In the original Russian, “V pechal’noi simmetrii stoyala mebel’ ooh starukhi” quoted by Smolina, N.I. Traditsii simmetrii v arkhitekture (in Russian, Traditions of Symmetry in Architecture), Stroiizdat, Moscow, 1990.Google Scholar
  17. 17.
    Angier, N., “Why Birds and Bees, Too, Like Good Looks,” The New York Times, February 8, 1994, Cl.Google Scholar
  18. 18.
    Cowley, G., “The Biology of Beauty,” Newsweek, June 3, 1996, 43–50.Google Scholar
  19. 19.
    Hargittai, I., “Road to Science: Gerald Edelman,” Chem. Intell. 1999, 5(3), 18–23.Google Scholar
  20. 20.
    Edelman, G. M., “Symmetry and Memory: On the Ultimate Origins of Mind,” in Bright Air, Brilliant Fire: On the Matter of the Mind, Basic Books, New York, 1992, 197–208, pp. 199–200.Google Scholar
  21. 21.
    Hoffmann, R., Gaps and Verges, University of Central Florida Press, Orlando, 1990, p. 43. We thank Roald Hoffmann for permission to quote his poem.Google Scholar
  22. 22.
    Mackay, A. L., “Generalized Crystallography,” Izv. Jugosl. Centra Krist. (Zagreb) 1975, 10, 15–36.Google Scholar
  23. 23.
    From William Osler (1849–1919), in Mackay, A Dictionary of Scientific Quotations, p. 187.Google Scholar
  24. 24.
    Chargaff, E., “Preface to a Grammar of Biology,” in Chargaff, E., Voices in the Labirinth: Nature, Man and Science, Seabury Press, New York, 1977, p. 24.Google Scholar
  25. 25.
    Dubos, R., Louis Pasteur: Free Lance of Science, Da Capo Press, New York, 1986, p. 367.Google Scholar
  26. 26.
    “If I have seen farther [than others] it is by standing upon the shoulders of giants.” This well-known quotation is from Isaac Newton’s letter to Robert Hooke in 1675, but there is at least one forerunner version of it, by the first-century Roman poet Marcus Lucanus, “pigmies placed on the shoulders of giants see more than the giants themselves.” See Lines, M. E., On the Shoulders of Giants, Institute of Physics, Bristol and Philadelphia, 1994, p. 1.Google Scholar
  27. 27.
    Dubos, R., Louis Pasteur: Free Lance of Science, p. 368.Google Scholar
  28. 28.
    Mackay, A Dictionary of Scientific Quotations, p. 38.Google Scholar
  29. 29.
    Szent-Györgyi, A., Bioenergetics; Academic Press, New York, 1957.Google Scholar
  30. 30.
    Quoted in Historical Atlas of Crystallography, J. Lima-de-Faria (ed.), Kluwer Academic Publishers, Dordrecht, 1990, p. vi.Google Scholar
  31. 31.
    Lipson, S. G.; Lipson, H., Optical Physics, Cambridge University Press, Cambridge, 1969.Google Scholar
  32. 32.
    Mackay, A Dictionary of Scientific Quotations, p. 195.Google Scholar
  33. 33.
    Lendvai, E., “Duality and Synthesis in the Music of Béla Bartók,” in Module,Proportion, Symmetry, Rhythm, G. Kepes (ed.), George Braziller, New York, 1966.Google Scholar
  34. 34.
    Mackay, A Dictionary of Scientific Quotations, p. 12.Google Scholar
  35. 35.
    Hargittai, I., “A Great Communicator of Mathematics and Other Games: A Conversation with Martin Gardner,” Math. Intell. 1997,19(4), 36–40.CrossRefGoogle Scholar
  36. 36.
    Polanyi, M., Personal Knowledge: Towards a Post-Critical Philosophy, The University of Chicago Press, Chicago, 1958.Google Scholar
  37. 37.
    . From the outside cover of Polanyi’s Personal Knowledge. Google Scholar
  38. 38.
    Wigner, E. P., “City Hall Speech-Stockholm,” in Symmetries and Reflections: Scientific Essays, Indiana University Press, Bloomington & London, 1963, pp. 262–263.Google Scholar
  39. 39.
    Wigner, E. P., “Events, Laws of Nature, and Invariance Principles,” in Nobel Lectures: Physics 1963–1970, Elsevier, Amsterdam, 1972, pp. 6–17.Google Scholar
  40. 40.
    Hargittai, I., Conversation with Steven Weinberg, Austin, Texas, 1998, unpublished records.Google Scholar
  41. 41.
    Bernal, J. D., “William Thomas Astbury 1898–1961,” Biographical Memoirs of Fellows of the Royal Society 1963,9, 1–35, p. 16.Google Scholar
  42. 42.
    . The Autobiography of Charles Darwin, 1809–1882, with original omissions restored, edited with appendix and notes by his granddaughter Nora Barlow, W. W. Norton, New York, 1958, p. 141.Google Scholar
  43. 43.
    Szent-Györgyi, A., “Lost in the Twentieth Century,” Ann. Rev. Biochem, 1963, 32, 4.CrossRefGoogle Scholar
  44. 44.
    Dubos, Louis Pasteur: Free Lance of Science, p. 369.Google Scholar
  45. 45.
    Astbury, W. T., quoted by Bernal, J. D., “William Thomas Astbury 1898–1961,” Biographical Memoirs of Fellows of the Royal Society 1963,9, 1–35, p. 2.Google Scholar
  46. 46.
    Hargittai, I., Conversation with Donald Caspar, Tallahassee, Florida, 1996, unpublished records.Google Scholar
  47. 47.
    Millar, D.; Millar, I.; Millar, J.; Millar, M., The Cambridge Dictionary of Scientists,Cambridge University Press, Cambridge, England, 1966, p. 236.Google Scholar
  48. 48.
    Newlands, J. A. R., On the Discovery of the Periodic Law, and on Relations among the Atomic Weights, E. & F. N. Spon, London, 1884 (this is a reprint collection).Google Scholar
  49. 49.
    Cannizzaro, S., Sunti un di corso di filosofia chimica, 1859.Google Scholar
  50. 50.
    Odelberg, W, and the Nobel Foundation (eds.), Nobel: The Man and His Prizes, 3rd ed., American Elsevier, New York, 1972, pp. 301–303 on Mendeleev; p. 303 on Moissan.Google Scholar
  51. 51.
    Palló, G., in Polányi Mihály filozófiai írásai,I-II [Philosophical writings of Michael Polanyi, in Hungarian], Atlantis Kiadó, Budapest, 1992, pp. 320–328.Google Scholar
  52. 54.
    “An Index to Michael Polanyi’s Contribution to Science,” in The Logic of Personal Knowledge, London, Routledge and Kegan, 1961, pp. 15–18.Google Scholar
  53. 55.
    Polanyi, M.; Wigner, E., “Bildung und Zerfall von Molekülen,” Z. Physik,1925, 33, 429–434.CrossRefGoogle Scholar
  54. 56.
    Eyring, H.; Polanyi, M., “Über einfache Gasreaktionen,” Z. physikal. Chemie 1931, B12, 279.Google Scholar
  55. 57.
    See also, Polanyi, M., Atomic Reactions, Williams and Norgate, London, 1932.Google Scholar
  56. 58.
    Polanyi, M., The Contempt of Freedom: The Russian Experiment and After,Arno Press, New York, 1975. (Reprint of the 1940 edition, Watts & Co., London).Google Scholar

Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • István Hargittai
    • 1
    • 2
  • Magdolna Hargittai
    • 2
  1. 1.Budapest Technical UniversityBudapestHungary
  2. 2.Eötvös Loránd University and Hungarian Academy of SciencesBudapestHungary

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