Марио Ливио - φ – Число Бога. Золотое сечение – формула мироздания

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Автор и издатель приносят искреннюю благодарность за разрешение перепечатать следующий материал, защищенный законами об авторском праве.

Рисунки 1, 2, 3, 7, 9, 10, 11, 12, 14a, 14b, 18, 20a, 20b, 20c, 20d, 20e, 21, 24, 25a, 25b, 26, 27, 29, 30, 33a, 33b, 35, 37, 40, 41, 42, 44a, 44b, 49, 57a, 57b, 58, 61, 62, 63, 64, 86, 89, 91, 97a, 97b, 97c, 101a, 101b, 102a, 102b, 103a, 103b, 105, 106a, 106b, 107, 112, 114, 123, 124 и в Приложении 1, Приложении 2, Приложении 3 и Приложении 4 выполнил Джеффри Л. Уорд.

Рис. 4: Музей морских раковин Бейли-Мэтьюз.

Рис. 5: Коллекция Честера Дейла. Фото © 2002 Совет попечителей Национальной галереи искусств в Вашингтоне. © 2002 Сальвадор Дали, Фонд «Гала-Сальвадор Дали»/Общество защиты прав художников (ARS), Нью-Йорк.

Рис. 6: Перепечатано с разрешения правообладателя из книги John D. Barrow, Pi In the Sky (Oxford: Oxford University Press, 1992).

Рис. 13: © Британский музей, Лондон.

Рис. 17: Фотоархив «Хирмер».

Рис. 19: Перепечатано с разрешения правообладателя из книги Robert Dixon, Mathographics (Mineola: Dover Publications, 1987).

Рис. 22 и 23, внизу: перепечатано с разрешения правообладателя из книги H. E. Huntley, The Divine Proportion (Mineola: Dover Publications, 1970).

Рис. 23, вверху: Коллекция фотографий Элисон Франц, Американская школа классических исследований в Афинах.

Рис. 28: Перепечатано с разрешения правообладателя из книги Trudi Hammel Garland, Fascinating Fibonaccis. Mystery and Magic in Numbers © 1987 by Dale Seymour Publications, репринт Pearson Learning, подразделение Pearson Education, Inc.

Рис. 31–32: Перепечатано с разрешения правообладателя из книги Trudi Hammel Garland, Fascinating Fibonaccis. Mystery and Magic in Numbers © 1987 by Dale Seymour Publications, репринт Pearson Learning, подразделение Pearson Education, Inc.

Рис. 34: Перепечатано с разрешения правообладателя из статьи Brandmüller, “Five fold symmetry in mathematics, physics, chemistry, biology and beyond”, in I. Hargitta, ed. Five Fold Symmetry (Singapore: World Scientific, 1992).

Рис. 36: Перепечатано с разрешения правообладателя из книги N. Rivier et al., J. Physique, 45, 49 (1984).

Рис. 38: Королевское собрание © 2002, Ее Величество Королева Елизавета II.

Рис. 39: Перепечатано с разрешения правообладателя из книги Edward B. Edwards, Pattern and Design with Dynamic Symmetry (Mineola: Dover Publications, 1967).

Рис. 43: С разрешения NASA и научной группы «Hubble Heritage».

Рис. 46, 45, 47, 50: Алинари/ «Арт-Ресурс», Нью-Йорк.

Рис. 47: Линии перспективы. Перепечатано с разрешения правообладателя из книги Laura Geatti, Michelle Emmer (ed.), The Visual Mind: Art and Mathematics (Cambridge: the MIT Press,1993).

Рис. 52: Собственность Амброзианской библиотеки. Все права защищены. Перепечатывать запрещается.