Złoty podział (Polish Wikipedia)

Analysis of information sources in references of the Wikipedia article "Złoty podział" in Polish language version.

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16books.google.com

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archive.is

Yamagishi, Michel E.B., and Shimabukuro, Alex I. (2007), Nucleotide Frequencies in Human Genome and Fibonacci Numbers, in „Bulletin of Mathematical Biology”, ISSN 0092-8240 (print), ISSN 1522-9602 (online). PDF full text.
Ivars Peterson. Sea shell spirals. „Science News”.

arxiv.org

AgataA. Olariu AgataA., Golden Section and the Art of Painting, „arXiv Physics and Society (physics.soc-ph)”, 1999, arXiv:physics/9908036 .

books.google.com

Mario Livio: The Golden Ratio: The Story of Phi, The World’s Most Astonishing Number. New York: Broadway Books, 2002. ISBN 0-7679-0815-5.
James Joseph Tattersall: Elementary number theory in nine chapters. Wyd. 2. Cambridge University Press, 2005, s. 28. ISBN 978-0-521-85014-8.
Underwood Dudley: Die Macht der Zahl: Was die Numerologie uns weismachen will. Springer, 1999, s. 245. ISBN 3-7643-5978-1.
Theodore Andrea Cook: The Curves of Life. New York: Dover Publications, 1979. ISBN 0-486-23701-X.
Jason Elliot: Mirrors of the Unseen: Journeys in Iran. Macmillan, 2006, s. 277, 284. ISBN 978-0-312-30191-0.
Piotr Sadowski: The knight on his quest: symbolic patterns of transition in Sir Gawain and the Green Knight. University of Delaware Press, 1996, s. 124. ISBN 978-0-87413-580-0.
Smith, Peter F. The Dynamics of Delight: Architecture and Aesthetics (New York: Routledge, 2003), s. 83, ISBN 0-415-30010-X.
Simon Trezise: Debussy: La Mer. Cambridge University Press, 1994, s. 53. ISBN 0-521-44656-2.
Leon Harkleroad: The Math Behind the Music. Cambridge University Press, 2006. ISBN 0-521-81095-7.
Art Johnson: Famous problems and their mathematicians. Libraries Unlimited, 1999, s. 45. ISBN 978-1-56308-446-1. Cytat: The Golden Ratio is a standard feature of many modern designs, from postcards and credit cards to posters and light-switch plates..
Alexey Stakhov, Scott Olsen, Scott Anthony Olsen: The mathematics of harmony: from Euclid to contemporary mathematics and computer science. World Scientific, 2009, s. 21. ISBN 978-981-277-582-5. Cytat: A credit card has a form of the golden rectangle..
Simon Cox: Cracking the Da Vinci code: the unauthorized guide to the facts behind Dan Brown’s bestselling novel. Barnes & Noble Books, 2004. ISBN 978-0-7607-5931-8. Cytat: The Golden Ratio also crops up in some very unlikely places: widescreen televisions, postcards, credit cards and photographs all commonly conform to its proportions..
Richard Padovan: Proportion. Taylor & Francis, 1999, s. 305–306. ISBN 978-0-419-22780-9.
Max. Hailperin, Barbara K. Kaiser, and Karl W. Knight: Concrete Abstractions: An Introduction to Computer Science Using Scheme. Brooks/Cole Pub. Co, 1998. ISBN 0-534-95211-9.
Roger Herz-Fischler: The Shape of the Great Pyramid. Wilfrid Laurier University Press, 2000. ISBN 0-88920-324-5.
David M. Burton: The history of mathematics: an introduction. Wyd. 4. WCB McGraw-Hill, 1999, s. 56. ISBN 0-070-09468-3.

cabri.net

Horocycles exinscrits: une propriété hyperbolique remarquable, cabri.net, retrieved 2009-07-21.

clarku.edu

aleph0.clarku.edu

Euclid, Elements, Book 6, Definition 3.
Euclid, Elements, Book 2, Proposition 11; Book 4, Propositions 10–11; Book 13, Propositions 1–6, 8–11, 16–18.

dalidimension.com

The Dali Dimension: Decoding the Mind of a Genius. Salvador Dali

doi.org

Volkmar Weiss, Harald Weiss. The golden mean as clock cycle of brain waves. „Chaos, Solitons and Fractals”. 18 (4), s. 643–652, 2003. DOI: 10.1016/S0960-0779(03)00026-2.
Perez, J.-C. Codon populations in single-stranded whole human genome DNA are fractal and fine-tuned by the Golden Ratio 1.618. „Interdisciplinary Sciences: Computational Life Science”. 2 (3), s. 228–240, September 2010. DOI: 10.1007/s12539-010-0022-0. PMID: 20658335.
George Markowsky. Misconceptions about the Golden Ratio. „College Mathematics Journal”. 23 (1), s. 2–19, January 1992. Mathematical Association of America. DOI: 10.2307/2686193. JSTOR: 2686193.
Kalinski, M. QED-Like Simple High Order Perturbative Relation between the Gravitational Constant G and the Planck Constant h. „Journal of High Energy Physics, Gravitation and Cosmology”. 7 (2), s. 595, 2021. DOI: 10.4236/jhepgc.2021.72034.

dx.doi.org

Anita K.A.K. Roopun Anita K.A.K. i inni, Temporal interactions between cortical rhythms, „Frontiers in Neuroscience”, 2 (2), 2008, s. 145–154, DOI: 10.3389/neuro.01.034.2008, PMID: 19225587, PMCID: PMC2622758 .

emis.de

Boussora, Kenza and Mazouz, Said, The Use of the Golden Section in the Great Mosque of Kairouan, Nexus Network Journal, vol. 6 no. 1 (Spring 2004), The Use of the Golden Section in the Great Mosque of Kairouan by Boussora and Mazouz in the Nexus Network Journal vol. 6 no. 1 (Spring 2004).

eurekalert.org

Golden ratio discovered in a quantum world. Eurekalert.org, 2010-01-07. [dostęp 2011-10-31].

georgehart.com

George W. Hart: Leonardo da Vinci’s Polyhedra.

golden-ratio-in-dna.blogspot.com

J.C. Perez (1991), Chaos DNA and Neuro-computers: A Golden Link, in „Speculations in Science and Technology” vol. 14 no. 4, ISSN 0155-7785.

google.pl

books.google.pl

Alan M.A.M. Gillmor Alan M.A.M., Erik Satie, Macmillan, 1988, s. 86-89, ISBN 978-0-333-46329-1 [dostęp 2023-09-07] (ang.).
Roy Howat: Debussy in Proportion: A Musical Analysis. Cambridge University Press, 1983. ISBN 0-521-31145-4.

herkommer.org

The Great Pyramid, The Great Discovery, and The Great Coincidence. 2014-02-24. [dostęp 2015-01-16].

investopedia.com

Fibonacci Numbers/Lines Definition. Investopedia.com. [dostęp 2011-04-02].

jstor.org

George Markowsky. Misconceptions about the Golden Ratio. „College Mathematics Journal”. 23 (1), s. 2–19, January 1992. Mathematical Association of America. DOI: 10.2307/2686193. JSTOR: 2686193.

maine.edu

umcs.maine.edu

George Markowsky. Misconceptions about the Golden Ratio. „College Mathematics Journal”. 23 (1), s. 2–19, January 1992. Mathematical Association of America. DOI: 10.2307/2686193. JSTOR: 2686193.

maths.org

plus.maths.org

Livio, Mario: The golden ratio and aesthetics. [dostęp 2008-03-21].
The golden ratio and aesthetics, by Mario Livio.

mit.edu

classics.mit.edu

Platon: Timaeus. The Internet Classics Archive, 360 p.n.e. (Benjamin Jowett trans.). [dostęp 2006-05-30].

nasa.gov

science.nasa.gov

A Disco Ball in Space. NASA, 2001-10-09. [dostęp 2007-04-16].

nih.gov

ncbi.nlm.nih.gov

Anita K.A.K. Roopun Anita K.A.K. i inni, Temporal interactions between cortical rhythms, „Frontiers in Neuroscience”, 2 (2), 2008, s. 145–154, DOI: 10.3389/neuro.01.034.2008, PMID: 19225587, PMCID: PMC2622758 .
Perez, J.-C. Codon populations in single-stranded whole human genome DNA are fractal and fine-tuned by the Golden Ratio 1.618. „Interdisciplinary Sciences: Computational Life Science”. 2 (3), s. 228–240, September 2010. DOI: 10.1007/s12539-010-0022-0. PMID: 20658335.

pearldrum.com

Pearl Masters Premium. Pearl Corporation. [dostęp 2007-12-02]. [zarchiwizowane z tego adresu (2008-06-16)].

pwn.pl

encyklopedia.pwn.pl

Złoty podział, [w:] Encyklopedia PWN [dostęp 2021-07-29] .

scirp.org

Kalinski, M. QED-Like Simple High Order Perturbative Relation between the Gravitational Constant G and the Planck Constant h. „Journal of High Energy Physics, Gravitation and Cosmology”. 7 (2), s. 595, 2021. DOI: 10.4236/jhepgc.2021.72034.

sites.google.com

Brian Roselle, „Golden Mean Series”.

springer.com

link.springer.com

Yamagishi, Michel E.B., and Shimabukuro, Alex I. (2007), Nucleotide Frequencies in Human Genome and Fibonacci Numbers, in „Bulletin of Mathematical Biology”, ISSN 0092-8240 (print), ISSN 1522-9602 (online). PDF full text.

st-andrews.ac.uk

www-history.mcs.st-andrews.ac.uk

The Golden Ratio. [w:] The MacTutor History of Mathematics archive [on-line]. [dostęp 2007-09-18].

telegraph.co.uk

Roy Batchelor and Richard Ramyar, „Magic numbers in the Dow”, 25th International Symposium on Forecasting, 2005, s. 13, 31. „Not since the ‘big is beautiful’ days have giants looked better”, Tom Stevenson, „The Daily Telegraph”, Apr. 10, 2006, and „Technical failure”, „The Economist”, Sep. 23, 2006, are both popular-press accounts of Batchelor and Ramyar’s research.

unal.edu.co

matematicas.unal.edu.co

The golden number to 17 000 000 000 digits. Universidad Nacional de Colombia, 2008. [dostęp 2012-07-07]. [zarchiwizowane z tego adresu (2010-01-06)].

uregina.ca

mathcentral.uregina.ca

Chris and Penny: Quandaries and Queries. Math Central. [dostęp 2011-10-23].

v-weiss.de

Volkmar Weiss, Harald Weiss. The golden mean as clock cycle of brain waves. „Chaos, Solitons and Fractals”. 18 (4), s. 643–652, 2003. DOI: 10.1016/S0960-0779(03)00026-2.

web.archive.org

Pearl Masters Premium. Pearl Corporation. [dostęp 2007-12-02]. [zarchiwizowane z tego adresu (2008-06-16)].
The golden number to 17 000 000 000 digits. Universidad Nacional de Colombia, 2008. [dostęp 2012-07-07]. [zarchiwizowane z tego adresu (2010-01-06)].
Np. Osler pisał, że „Częste są 38,2% i 61,8% powtórzenia ostatnich wzrostów i spadków” w Osler, Carol. Support for Resistance: Technical Analysis and Intraday Exchange Rates. „Federal Reserve Bank of New York Economic Policy Review”. 6 (2), s. 53–68, 2000.

webcitation.org

Roy Batchelor and Richard Ramyar, „Magic numbers in the Dow”, 25th International Symposium on Forecasting, 2005, s. 13, 31. „Not since the ‘big is beautiful’ days have giants looked better”, Tom Stevenson, „The Daily Telegraph”, Apr. 10, 2006, and „Technical failure”, „The Economist”, Sep. 23, 2006, are both popular-press accounts of Batchelor and Ramyar’s research.

wolfram.com

mathworld.wolfram.com

Eric W.E.W. Weisstein Eric W.E.W., Golden Ratio Conjugate, [w:] MathWorld, Wolfram Research (ang.).
Eric W.E.W. Weisstein Eric W.E.W., Złoty podział, [w:] MathWorld, Wolfram Research (ang.).
Eric W.E.W. Weisstein Eric W.E.W., Liczba Pisota-Vijayaraghavana, [w:] MathWorld, Wolfram Research (ang.).

worldcat.org

Midhat J.M.J. Gazalé Midhat J.M.J., Gnomon, Princeton, N.J.: Princeton University Press, 1999, ISBN 0-691-00514-1, OCLC 40298400 .
Susan NicodemusS.N. Gilkey Susan NicodemusS.N., Teaching Mathematics in the Block, Carla HerndonC.H. Hunt, Larchmont, N.Y.: Eye On Education, 1998, s. 44, 47, ISBN 1-883001-51-X, OCLC 38010630 .
JanJ. Tschichold JanJ., The Form of the Book, Point Roberts, Washington: Hartley & Marks, 1991, ISBN 0-88179-116-4, OCLC 24429154 .
J.C. Perez (1991), Chaos DNA and Neuro-computers: A Golden Link, in „Speculations in Science and Technology” vol. 14 no. 4, ISSN 0155-7785.
Yamagishi, Michel E.B., and Shimabukuro, Alex I. (2007), Nucleotide Frequencies in Human Genome and Fibonacci Numbers, in „Bulletin of Mathematical Biology”, ISSN 0092-8240 (print), ISSN 1522-9602 (online). PDF full text.

youtube.com

Michael Penn: A very interesting differential equation.. 2020. [dostęp 2022-11-28].