@article{MO_2023_4_a2,
author = {A. N. Kovalev},
title = {Phidias number as an organizing factor in complex geometric constructions},
journal = {Matemati\v{c}eskoe obrazovanie},
pages = {23--38},
year = {2023},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MO_2023_4_a2/}
}
A. N. Kovalev. Phidias number as an organizing factor in complex geometric constructions. Matematičeskoe obrazovanie, no. 4 (2023), pp. 23-38. http://geodesic.mathdoc.fr/item/MO_2023_4_a2/
[1] S. L. Vasilenko, Ot ekstremalnykh svoistv treugolnika Keplera i zolotogo konusa — k vozmozhnomu proetsirovaniyu na piramidy Drevnego Egipta, El. No 77-6567. - publ. 22827, “Akademiya Trinitarizma”, M., 16.12.2016.
[2] N. N. Vorobev, Chisla Fibonachchi, Populyarnye lektsii po matematike, 6, Nauka, M., 1978 | MR
[3] I. D. Zhizhilkin, Inversiya, Izd-vo MTsNMO, M., 2009, 72 pp.
[4] A. V. Pogorelov, Geometriya, Nauka, M., 1983 | MR
[5] A. I. Schetnikov, “Zolotoe sechenie, kvadratnye korni i proportsii piramid v Gize”, Matem. obr., 2006, no. 3 (38), 59–71
[6] Z. Cerin, Centres of the golden ratio Archimedean twin circles, 1991 https://web.math.pmf.unizg.hr/c̃erin/c136.pdf
[7] K. Hofstetter, “A Simple Construction of the Golden Section”, Forum Geometricorum, 2002, no. 2, 65–66 https://forumgeom.fau.edu/FG2002volume2/FG200208.pdf | MR | Zbl
[8] K. Hofstetter, “Division of a Segment in the Golden Section with Ruler and Rusty Compass”, Forum Geometricorum, 2005, no. 5, 135–136 https://forumgeom.fau.edu/FG2005volume5/FG200518.pdf | MR | Zbl
[9] K. Hofstetter, “Another 5-step Division of a Segment in the Golden Section”, Forum Geometricorum, 2004, no. 4, 135–136 https://forumgeom.fau.edu/FG2003volume3/FG200322.pdf | MR
[10] Nguyen Ngoc Giang, Le Viet An, “Golden sections and Archimedean circles in an Arbelos”, International J. of geometry, 7:2 (2018), 25–36 https://ijgeometry.com/wp-content/uploads/2018/10/25-36.pdf | MR | Zbl
[11] Niemeyer Jo, “A Simple Construction of the Golden Section”, Forum Geometricorum, 2011, no. 11, 53 | MR | Zbl
[12] G. Odom, J. van de Craats, “Elementary Problem 3007”, American Math. Monthly, 1983, no. 90, 482 ; “solution”, 1986, No 93, 572 | MR | DOI | MR
[13] R. Penrose, “The role of aesthetics in pure and applied research”, Bulletin of the Institute of Mathematics and its Applications, 10 (1974), 266–271