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The mathematical tourist

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References

  1. S. M. Austin and G. F. Bertsch, “Halo nuclei,” Scientific American 272 June (1995), 62-67.

  2. J. Baez and J. P. Muniain, Gauge Fields,Knots and Gravity, series on Knots and Everything vol. 4, World Scientific, 1994.

  3. R. Brown, J. Robinson and C. Quinton, Symbolic Sculpture and Mathematics, 1996. URL http://www.bangor.ac.uk/ma/.

  4. H. Brunn, “Über Verkettung,” Sitzungberichte der Bayerischer Akad. Wiss. Math-Phys. Klasse 22 (1892), 77–99.

    Google Scholar 

  5. P. R. Cromwell, “Borromean triangles in Viking art,” Math. Intelligencer 17 (1995), no. 1, 3–4.

    Article  MathSciNet  Google Scholar 

  6. Dante, The Divine Comedy: Paradiso, vol. 1 (Italian text and translation by C. S. Singleton), Bollingen Series, Princeton Univ. Press, 1975.

  7. Y. Delaporte, Les Manuscripts Enlumines de Ia Bibliotheque de Chartres, Chartes, 1929.

  8. M. Didron, Iconographie Chrétienne, Imprimerie Royale, Paris, 1843.

  9. M. Didron and A. N. Didron, Christian Iconography, or the History of Christian Art in the Middle Ages, George Bell and Sons, London, 1886.

    Google Scholar 

  10. R. H. Fox, “A quick trip through knot theory,” in Topology of 3-manifolds and Related Topics, ed: M. K. Fort, PrenticeHall, Inc., 1962, 120-167.

  11. H. M. Hilden, M. T. Lozano, and J. M. Montesinos, “The Whitehead link, the Borromean rings and the knot 946 are universal,” Collect. Math. 34, no. 1 (1983), 19–28.

    MATH  MathSciNet  Google Scholar 

  12. L. H. Kauffman, Formal Knot Theory, Princeton Univ. Press, 1983.

  13. L. H. Kauffman, “State models and the Jones polynomial,” Topology 26 (1987), 395–407.

    Article  MATH  MathSciNet  Google Scholar 

  14. J. Lacan, Le Seminaire de Jacques Lacan, vol XX “Encore” (1972-73), Editions du Seuil, Paris, 1975.

  15. B. Lindstrom and H.-O. Zetterström, “Borromean circles are impossible,” Amer. Math. Monthly 98 (1991), 340–341.

    Article  MathSciNet  Google Scholar 

  16. G. Lopez and S. Severgnini, Milano in Mana, second edition, Mursia, 1990.

  17. W. Manchester, The Arms of Krupp 1587-1968, Michael Joseph, London, 1969.

  18. W. W. Menasco, “Closed incompressible surfaces in alternating knot and link complements,” Topology 23 (1984), 37–44.

    Article  MATH  MathSciNet  Google Scholar 

  19. K. Murasugi, “Jones polynomials and classical conjectures in knot theory,” Topology 26 (1987), 187–194.

    Article  MATH  MathSciNet  Google Scholar 

  20. O. Nanyes, “An elementary proof that the Borromean rings are nonsplittable,” Amer. Math. Monthly 100 (1993), 786–789.

    Article  MATH  MathSciNet  Google Scholar 

  21. G. Petrocchi (editor), Enciclopedia Dantesca, Institute Treccani, Rome, 1970.

  22. P. Portaluppi, La Casa de gli Atellani in Milano, Bestetti e Tumminelli editori, Milan, 1922.

  23. P Priest, Dante’s Incarnation of the Trinity, Longo Editore, Ravenna, 1982.

  24. M. Reeves, Joachim of Fiore and the Prophetic Future, SPCK, London, 1976.

  25. M. Reeves and B. Hirsch-Reich, The Figurae of Joachim of Fiore, Clarendon Press, Oxford, 1972.

    Google Scholar 

  26. J. Robinson, Symbolic Sculpture, Edition Limitee, Carouge, Geneva, 1992.

  27. D. Sant 'Ambrogio, “Dell’impresa araldica dei tre anelli intrecciati,” Archivio Storico Lombardo, 7 anno XVIII (1891), 392-398.

  28. P. G. Tait, “On knots,” Trans. Royal Soc. Edinburgh 28 (1876), 145–190.

    Google Scholar 

  29. M. B. Thislethwaite. “A spanning tree expansion of the Jones polynomial,” Topology 26 (1987), 297–309.

    Article  MathSciNet  Google Scholar 

  30. J. Tolan, Petrus Alfonsi and his Medieval Readers, University Press of Florida, 1993.

  31. G. Vasari, The Lives of the Painters, Sculptures and Architects (translated by A. B. Hinds), revised edition, vol. 4, Everyman’s library, Dent, London, 1963.

  32. M. Zhukov, etal., “Bound-state properties of Borromean halo nuclei,” Physics Reports, Review section of Physics Letters 231, no 4. (1993), 151–199.

    Google Scholar 

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Cromwell, P., Beltrami, E. & Rampichini, M. The mathematical tourist. The Mathematical Intelligencer 20, 53–62 (1998). https://doi.org/10.1007/BF03024401

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