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Table of contents
Internet access to references
(in order of appearance)
Johann Wenceslaus Kaschube, Cursus mathematicus : oder deutlicher Begrief der mathematischen Wissenschaften, 1717: here
J.W.S. Cassels, An introduction to Diophantine approximations, Cambridge University Press 1957: here
Ivan Niven, Herbert S. Zuckerman and Hugh L. Montgomery, An introduction to the theory of numbers, Fifth Edition, 1991: here
Oskar Perron, Die Lehre von den Kettenbrüchen, Band I. Dritte Auflage, 1954: here
J.N. Ridley, Packing Efficiency in Sunflower Heads, Mathematical Biosciences 58 (1982), 129-139: here
Roger Herz-Fischler, A Mathematical History of the Golden Number. Dover Publications, 1998: here
Henry Moseley, On the Geometrical Forms of Turbinated and Discoid Shells, read to the Royal Society on 21 June 1838: here
D'Arcy Wentworth Thompson, On growth and form, new edition, Cambridge University Press 1942: here
Matthew S. Lehnert, Eric Brown, Margie P. Lehnert, Patrick D. Gerard, Huan Yan and Chanjoong Kim, The Golden Ratio reveals geometric differences in Proboscis coiling among butterflies of different feeding habits. In: American Entomologist 61 (2015), pp.18-26: here
Martin Gardner, The cult of the golden ratio. In: The Skeptical Inquirer, Vol. 18, No. 3, Spring 1994, pp. 243-247: here
Milton Abramowitz and Irene Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, first published in 1964: here
Murray Spiegel, Mathematical handbook of formulas and tables, first published in 1968: here
MacTutor History of Mathematics: here
Britannica Online Encyclopedia: here
Natural History Museum Londen, FaceBook page 18 October 2018: here
François Le Lionnais, Les nombres remarquables. Hermann, 1983: here
James Trefil, Cassell's Laws of Nature, 2002: here
Stephen Wolfram, A new kind of science, 2002: here
Faezeh Moosavi-Movahedi, Perspective on Golden Ratio (Phi). In: Science Cultivation, Volume 07, Issue 1, January 2017, pp. 39-52: here
István Hargittai, Fivefold Symmetry, 1992: here
H.E. Huntley, The Divine Proportion, A Study in Mathematical Beauty, 1970: here
Albert van der Schoot, De ontstelling van Pythagoras. Second edition, Kok Agora 1999: here
Tutorial: Probability, Statistics, and Navels. Worksheet of the University of Colorado, Dept. of Mathematics, Fall 2010, Math 1310: here
Adolf Zeising, Neue Lehre von den Proportionen des menschlichen Körpers, aus einem bisher unbekannt gebliebenen, die ganze Natur und Kunst durchdringenden morphologischen Grundgesetze entwickelt und mit einer vollständigen historischen Uebersicht der bisherigen Systeme begleitet. Leipzig, 1854: here
Matila Ghyka, The geometry of art and life, 1946: here
T. Antony Davis and Rudolf Altevogt, Golden mean of the human body. In: The Fibonacci Quarterly 17(4), 1979, pp. 340-344: here
Marcus du Sautoy, The music of the primes. Harper Perennial 2011: here
Howard Eves, Great moments in mathematics before 1650. Mathematical Association of America 1983: here
J. Benjafield and J. Adams-Webber, The golden section hypothesis. In: British Journal of Psychology 67 (1), 1976, pp. 11-15: here
Lennart de Nooijer, De buitenaardse blik op evolutie herzien, Nederlands Instituut voor Biologie, 2003: here
S. Douady and Y. Couder, Phyllotaxis as a Dynamical Self Organizing Process
Part I: The Spiral Modes Resulting from Time-Periodic Iterations. In: Journal of Theoretical Biology 178 (1996), pp. 255-274: here
Matthew F. Pennybacker, Patrick D. Shipman and Alan C. Newell, Phyllotaxis: Some progress, but a story far from over. In: Physica D 306 (2015), pp. 48-81: here
Roger V. Jean, Mathematical Approach to Pattern & Form in Plant Growth. Wiley & Sons 1984: here