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Mathematical constants related to chaotic behavior
specifically bifurcation theory, the Feigenbaum constants /ˈfaɪɡənbaʊm/ δ and α are two mathematical constants which both express ratios in a bifurcation
Feigenbaum_constants
American mathematical physicist (1944–2019)
pioneering studies in chaos theory led to the discovery of the Feigenbaum constants. Feigenbaum was born in Philadelphia, Pennsylvania, to Jewish emigrants
Mitchell_Feigenbaum
Simple polynomial map exhibiting chaotic behavior
Feigenbaum constants. In fact, there are typically more than one. For example, for period-7-pling, there are at least 9 different pairs of Feigenbaum
Logistic_map
Fixed number that has received a name
using it across multiple mathematical problems. Constants arise in many areas of mathematics, with constants such as e and π occurring in such diverse contexts
Mathematical_constant
Concept in dynamical systems
Feigenbaum constants. In fact, there are typically more than one. For example, for period-7-pling, there are at least 9 different pairs of Feigenbaum
Feigenbaum_function
"Khinchin's Constant". Weisstein, Eric W. "Khinchin's constant". MathWorld. Briggs, Keith (1997). Feigenbaum scaling in discrete dynamical systems (PDF) (PhD
List_of_numbers
Surname list
(born 1947), Israeli footballer Feigenbaum function Feigenbaum constants This page lists people with the surname Feigenbaum. If an internal link intending
Feigenbaum
"Copeland–Erdős Constant Continued Fraction". MathWorld. "Hermite Constants". Weisstein, Eric W. "Relatively Prime". MathWorld. "Favard Constants". OEIS: A000796
List of mathematical constants
List_of_mathematical_constants
constants named after people. Eponymous constants and their influence on scientific citations have been discussed in the literature. Apéry's constant
List of scientific constants named after people
List_of_scientific_constants_named_after_people
Mathematical constant in number theory
and ln(3) The Euler-Mascheroni constant γ Apéry's constant ζ(3) The Feigenbaum constants δ and α Khinchin's constant itself Among the numbers x whose
Khinchin's_constant
Visualization of sudden behavior changes caused by continuous parameter changes
Bifurcation memory Chaos theory Skeleton of bifurcation diagram Feigenbaum constants Sharkovskii's theorem Seydel, Rüdiger (2010). Practical Bifurcation
Bifurcation_diagram
Ukrainian mathematician
published the first non-numerical proof of the universality of the Feigenbaum constants in chaos theory. He received the 2010 Jeffery–Williams Prize from
Mikhail_Lyubich
Symbols for constants, special functions
variation in the calculus of variations the Kronecker delta function the Feigenbaum constants the force of interest in mathematical finance the Dirac delta function
Greek letters used in mathematics, science, and engineering
Greek_letters_used_in_mathematics,_science,_and_engineering
Swiss mathematical physicist (born 1944)
bifurcations in dynamical systems, with scaling ratio given by the Feigenbaum constants. In a highly cited 1985 review paper with David Ruelle, he bridged
Jean-Pierre_Eckmann
Study of sudden qualitative behavior changes caused by small parameter changes
bifurcations Bifurcation diagram Bifurcation memory Catastrophe theory Feigenbaum constants Geomagnetic reversal Phase portrait Tennis racket theorem Blanchard
Bifurcation_theory
British mathematician
accurate calculation of the Feigenbaum constants, which was published in "A precise calculation of the Feigenbaum constants", Mathematics of Computation
Keith_Briggs_(mathematician)
Public school in New York City
and television director Mitchell Jay Feigenbaum – Mathematical physicist and discoverer of the Feigenbaum constants Fresh Kid Ice - rapper, known for being
Samuel_J._Tilden_High_School
Topics referred to by the same term
(conventional symbol "α") Navigational azimuth (symbol "α") One of the Feigenbaum constants describing a bifurcation diagram, in mathematics (symbol "α") The
Alpha_(disambiguation)
Event in dynamical systems theory
events in a cascade. List of chaotic maps Complex quadratic map Feigenbaum constants Universality (dynamical systems) Sharkovskii's theorem Alligood (1996)
Period-doubling_bifurcation
Topics referred to by the same term
schemas in the Z notation δ {\displaystyle \delta } , the first Feigenbaum constant Delta connective, a unary connective in t-norm fuzzy logics Delta
Delta
Mitchell Feigenbaum (1944–2019) American mathematical physicist whose pioneering studies in chaos theory led to the discovery of the Feigenbaum constants. Peter
List_of_systems_scientists
Programmable handheld calculator with magnetic card reader
bifurcations occur tends to a constant of around 4.6692... This "ratio of convergence" became known as the first Feigenbaum constant. Steve Wozniak sold his
HP-65
Speed of electromagnetic waves in vacuum
"Optical constants of H2O, D2O (Water, heavy water, ice)". refractiveindex.info. Mikhail Polyanskiy. Retrieved 7 November 2017. "Optical constants of Soda
Speed_of_light
Approach to mathematics using computation
Ulam numbers was discovered by accident. Mitchell Feigenbaum's discovery of the Feigenbaum constant was based initially on numerical observations, followed
Experimental_mathematics
American mathematician
{\displaystyle \lim _{n\to \infty }b(n)/b(n+1)} converges to the Feigenbaum constants d = 4.6692016091029... {\displaystyle d=4.6692016091029...} which
Oscar_Lanford
welfare campaigner and journalist. Mitchell Feigenbaum, 74, American physicist, discoverer of Feigenbaum constants. Doug Ford, 90, Australian cricketer (New
Deaths_in_June_2019
Feigenbaum (1944–2019) United States "for pioneering discoveries in nonlinear and chaotic physical systems and for identification of the Feigenbaum constants
List of Clarivate Citation laureates in Physics
List_of_Clarivate_Citation_laureates_in_Physics
Coincidence in mathematics
is conjectured, but not known, to be a normal number. The first Feigenbaum constant is approximately equal to 10 π − 1 {\displaystyle {\tfrac {10}{\pi
Mathematical_coincidence
argument Butterfly effect 0-1 test for chaos Bifurcation diagram Feigenbaum constant Sharkovskii's theorem Attractor Strange nonchaotic attractor Stability
List of dynamical systems and differential equations topics
List_of_dynamical_systems_and_differential_equations_topics
Federico Capasso Feedback linearization Feedback topology Feigenbaum constants Feigenbaum function Feinberg reinterpretation principle Felice Fontana
Index_of_physics_articles_(F)
Past and present Cornell University faculty
(2000) Mitchell Feigenbaum (professor) — physicist whose pioneering studies in chaos theory led to the discovery of the Feigenbaum constant Craig Fennie
List of Cornell University faculty
List_of_Cornell_University_faculty
Processes that maintain quality at a constant level
American Society for Quality Control, ISBN 9780873893411, OCLC 32394752 Feigenbaum, Armand V. (1956). "Total Quality Control". Harvard Business Review. 34
Quality_control
Computer system emulating human expert
around 1965 by the Stanford Heuristic Programming Project led by Edward Feigenbaum, who is sometimes termed the "father of expert systems"; other key early
Expert_system
that Feigenbaum had admitted to having a hatred of women and a desire to kill and mutilate them. Lawton further stated that he believed Feigenbaum was
Jack_the_Ripper_suspects
Archived from the original on 19 August 2007. Retrieved 24 November 2008. Feigenbaum, Edward; Feldman, Julian, eds. (1963). Computers and thought : a collection
Timeline of artificial intelligence
Timeline_of_artificial_intelligence
German physicist (1930–2025)
nonlinear dynamics. With Stefan Thomae he produced a value for the Feigenbaum constant. He was also one of the leading theoreticians in the fields of fluid
Siegfried_Grossmann
Fractal named after mathematician Benoit Mandelbrot
intersecting the real axis correspond exactly to periodic windows in the Feigenbaum diagram. So this result states that such windows exist near every parameter
Mandelbrot_set
Test of a machine's ability to imitate human intelligence
expert in a given field. This is also known as a "Feigenbaum test" and was proposed by Edward Feigenbaum in a 2003 paper. Robert French (1990) makes the
Turing_test
Vascular tumor derived from blood vessel cell types
Hemangiomas. Püttgen K, Lucky A, Adams D, Pope E, McCuaig C, Powell J, Feigenbaum D, Savva Y, Baselga E, Holland K, Drolet B, Siegel D, Morel KD, Garzon
Hemangioma
to Replace Last Manual Switchboard". Los Angeles Times. 8 April 1991. Feigenbaum, James; Gross, Daniel P. (August 2024). "Answering the Call of Automation:
List_of_obsolete_occupations
Field of mathematics and science based on non-linear systems and initial conditions
"Itérations d'endomorphismes et groupe de renormalisation", and Mitchell Feigenbaum's article "Quantitative Universality for a Class of Nonlinear Transformations"
Chaos_theory
Personality disorder
(4): 297–302. doi:10.1093/sw/swu030. PMID 25365830. Sachse S, Keville S, Feigenbaum J (June 2011). "A feasibility study of mindfulness-based cognitive therapy
Borderline personality disorder
Borderline_personality_disorder
World Wrestling Federation pay-per-view event
Wrestling Entertainment. Crown. p. 156. ISBN 1-4000-5143-6. Michaels, Shawn; Feigenbaum, Aaron (November 2006). Heartbreak & Triumph: The Shawn Michaels Story
King_of_the_Ring_(1996)
2024 studio album by Big Sean
artist continuing to grow and transform, and embracing "being a human in [constant] development." Other than through-lines of personal growth and weariness
Better_Me_Than_You
Chronic multi-symptomatic pain disorder
2006. Retrieved 24 August 2006. Yunus M, Masi AT, Calabro JJ, Miller KA, Feigenbaum SL (August 1981). "Primary fibromyalgia (fibrositis): clinical study of
Fibromyalgia
1982, p. 15 Aurell, Erik (May 1987). "On the metric properties of the Feigenbaum attractor". Journal of Statistical Physics. 47 (3–4): 439–458. Bibcode:1987JSP
List of fractals by Hausdorff dimension
List_of_fractals_by_Hausdorff_dimension
Software which accepts input from humans as it runs
Donald (1991-08-11). "Foundations of Secure Interactive Computing". In Feigenbaum, Joan (ed.). Advances in Cryptology – CRYPTO '91. Lecture Notes in Computer
Interactive_computing
2024 Palestinian-Norwegian documentary film
June 2025.{{cite news}}: CS1 maint: deprecated archival service (link) Feigenbaum, Noa (6 March 2025). "BDS movement criticizes 'No Other Land,' citing
No_Other_Land
Mathematical approximation of a function
329–332 for English translation, and Bruce 2007 for re-translation. Feigenbaum 1985 Grossman 1984, p. 748. Abramowitz & Stegun 1970, p. 69. Bilodeau
Taylor_series
Season of television series
Prod. code Viewers (millions) 178 1 "Dropping Trou" (Part 1) Joel J. Feigenbaum Brenda Hampton September 13, 2004 (2004-09-13) 62006-09-178 7.26 Simon
7th_Heaven_season_9
American annual computer science prize
105–112. doi:10.1145/229459.233436. Nils J. Nilsson. "Edward A ("Ed") Feigenbaum - A.M. Turing Award Laureate". Association for Computing Machinery. Archived
Turing_Award
English sailor and murder suspect (d. after 1906)
thirst for sensationalism. The prisoner, in turn, proclaimed his innocence constantly, and one of the newspapers picked up on his complaints: "What a blessing
James_Thomas_Sadler
Term applied to cryptographic systems that are highly resistant to cryptanalysis
Business Media LLC: 39–65. doi:10.1007/s41125-022-00080-0. ISSN 2365-0931. Feigenbaum, Joan (2019-04-24). "Encryption and surveillance". Communications of the
Strong_cryptography
American prime time soap opera (1978–1991)
as supervising producer/showrunner, executive story consultant Joel J. Feigenbaum, and story editors Hollace White and Stephanie Garman. However, increased
Dallas_(TV_series)
Protection of computer systems from information disclosure, theft or damage
Denning Peter J. Denning Cynthia Dwork Chuck Easttom Deborah Estrin Joan Feigenbaum Ian Goldberg Shafi Goldwasser Lawrence A. Gordon Peter Gutmann Paul Kocher
Computer_security
American Western television series (1988–1991)
(the origin of the title). Ethan tried to live a peaceful life, but was constantly haunted by his violent past and frequently called upon by the townspeople
Paradise_(1988_TV_series)
Infinitely detailed mathematical structure
graphics Droste effect – Recursive visual effect Feigenbaum function – Concept in dynamical systems Form constant – Recurringly observed geometric pattern Fractal
Fractal
2015 Hungarian historical film
Oberkapo Mietek Jerzy Walczak as Sonderkommando rabbi Marcin Czarnik as Feigenbaum István Pion as Katz Attila Fritz as Yankl Amitai Kedar as Hirsch Márton
Son_of_Saul
In business operations, controlling the process of production of goods
initially developed by American authors such as Deming, Juran and Armand V. Feigenbaum. TQM is a strategy for implementing and managing quality improvement on
Operations_management
Mathematical proof at least partially generated by computer
Common fixed point problem, 1967 Four color theorem, 1976 Mitchell Feigenbaum's universality conjecture in non-linear dynamics. Proven by O. E. Lanford
Computer-assisted_proof
Business school of the Massachusetts Institute of Technology
General Susan Dudley, former head, Office of Management and Budget Armand Feigenbaum, former president, American Society for Quality Carly Fiorina, former
MIT Sloan School of Management
MIT_Sloan_School_of_Management
Season of television series
old female friend with her own family issues. 113 3 "Sympathy" Joel J. Feigenbaum Brenda Hampton October 8, 2001 (2001-10-08) 62006-06-113 8.68 Simon considers
7th_Heaven_season_6
Journal. ISSN 0099-9660. Retrieved 2023-06-03. Lindsay RK, Buchanan BG, Feigenbaum EA, Lederberg J (1993). "DENDRAL: a case study of the first expert system
Artificial intelligence in healthcare
Artificial_intelligence_in_healthcare
Art museum in New York City
Archived from the original on January 29, 2024. Retrieved January 29, 2024. Feigenbaum 2024, p. 335. Saltzman 2008, p. 162. "Frick Buys Hals's Portrait of Woman;
Frick_Collection
Jerusalem cube Julia set Koch curve Koch snowflake L-system Lévy C curve Feigenbaum attractor Lorenz attractor Lyapunov fractal Mandelbrot set Mandelbrot
List_of_mathematical_shapes
Algorithm characteristic in computations
distribution that are hard on average for decision algorithms. In 1993, Feigenbaum and Fortnow showed that it is not possible to prove, under non-adaptive
Average-case_complexity
Field of artificial intelligence
largely a European phenomenon. In North America, AI researchers such as Ed Feigenbaum and Frederick Hayes-Roth advocated the representation of domain-specific
Knowledge representation and reasoning
Knowledge_representation_and_reasoning
Civil unrest and rioting in Cleveland, Ohio in 1966
The bar had been co-owned by Ben Feigenbaum and his brother-in-law, Bill Maltz. On February 10, 1965, Ben Feigenbaum was murdered while sitting in his
Hough_riots
Quasiparticle of charge oscillations in condensed matter
Bibcode:2017PhRvA..95a3816F. doi:10.1103/PhysRevA.95.013816. S2CID 119203392. Feigenbaum, Eyal; Orenstein, Meir (15 February 2007). "Plasmon-soliton". Optics Letters
Plasmon
character, Cathy Geary. 83 8 "A Change of Heart" Robert Becker Joel J. Feigenbaum November 17, 1983 (1983-11-17) 21.0/33 Karen begins to take pain killers
List of Knots Landing episodes
List_of_Knots_Landing_episodes
her first payment on it. 159 4 "The Big Bang" Michael A. Hoey Joel J. Feigenbaum October 23, 1987 (1987-10-23) 704 14.9/28 Richard Channing and John Remick
List_of_Falcon_Crest_episodes
Prosecutions for witchcraft in Europe
Witch-hunts: a Global History", pp. 35–36 (2004). Wiley-Blackwell. Foster-Feigenbaum, Elizabeth (2018). "The Middle Ages as a Conducive Period to the Witch
Witch trials in the early modern period
Witch_trials_in_the_early_modern_period
The Seed of the Sacred Fig دانهی انجیر معابد / Die Saat des heiligen Feigenbaums Mohammad Rasoulof Nominated 2025 It Was Just an Accident یک تصادف ساده
List of European Academy Award winners and nominees
List_of_European_Academy_Award_winners_and_nominees
List of concepts in artificial intelligence
model". Neural Networks. 1 (4): 339–356. doi:10.1016/0893-6080(88)90007-x. Feigenbaum, Edward (1988). The Rise of the Expert Company. Times Books. p. 317.
Glossary of artificial intelligence
Glossary_of_artificial_intelligence
Higher-education engineering institute in Russia
MAI Deputy Chief Designer V. Demin; OSKBES MAI Deputy Chief Designer V. Feigenbaum; Rector of MAI A. Matveyenko; Manager of MAI Experimental Plant P. Ogadzhanov;
Moscow_Aviation_Institute
period-doubling bifurcation, discovered in 1975 by mathematician Mitchell Feigenbaum discovered; fractal landscapes; British mathematician Michael Barnsley
List_of_Equinox_episodes
2012 musical by Dove Attia and François Chouquet
Gianlorenzo De Donno Juliette Delatroche Gianluca Falvo Mikael Fau Michael Feigenbaum Tamara Fernando Yoan Grosjean Simon Gruszka Yann Hervé Alexandra Jezouin
1789: Les Amants de la Bastille
1789:_Les_Amants_de_la_Bastille
American professional wrestler and businessman (born 1970)
Destruction in epic Crown Jewel finale". WWE. Shawn Michaels and Aaron Feigenbaum (November 22, 2005). Heartbreak And Triumph: The Shawn Michaels Story
Shane_McMahon
British police officer
and Nairn, and Sergeants Thick, Godley, M'Carthy and Pearce have been constantly engaged, under the direction of Inspector Abberline (Scotland Yard), in
George_Godley
Season of television series
to be the father she needs him to be3. 268 2 "Let's Eat Cake" Joel J. Feigenbaum Laurie McCarthy September 15, 1999 (1999-09-15) 2199260 8.82 Kelly and
Beverly Hills, 90210 season 10
Beverly_Hills,_90210_season_10
Relativitätsprinzip". Archiv der Mathematik und Physik (in German). 17: 1. Feigenbaum, M. J. (2008). "The Theory of Relativity – Galileo's Child". arXiv:0806
Formulations of special relativity
Formulations_of_special_relativity
Season of television series
Tata does not appear in this episode. 231 23 "Making Amends" Joel J. Feigenbaum Elle Triedman March 11, 1998 (1998-03-11) 2197224 12.03 The paramedics
Beverly_Hills,_90210_season_8
American coins
12, 2013. Retrieved February 13, 2012. Excerpt from Lawrence, David; Feigenbaum, John (1991). "Chapter 1: History of the Barber Series". The Complete
Barber_coinage
Interdisciplinary study of systems
organization of parts, recognizing interactions of the parts as not static and constant but dynamic processes. Some questioned the conventional closed systems
Systems_theory
Mathematical model of the time dependence of a point in space
into a torus and the torus into a strange attractor. In another example, Feigenbaum period-doubling describes how a stable periodic orbit goes through a series
Dynamical_system
Programming language that uses first order logic
England; Reading, Mass: Addison-Wesley. p. 6. ISBN 978-0-201-14427-7. Feigenbaum, Edward; Shrobe, Howard (1993-07-01). "The Japanese national Fifth Generation
Prolog
Class of algorithms operating on data streams
1109/SFCS.1978.32. Flajolet & Martin (1985) Alon, Matias & Szegedy (1996) Feigenbaum, Joan; Sampath, Kannan (2005). "On graph problems in a semi-streaming
Streaming_algorithm
Stages in the development of children
21..527C. doi:10.1016/S0892-0362(99)00023-9. PMID 10492387. Graham K, Feigenbaum A, Pastuszak A, Nulman I, Weksberg R, Einarson T, et al. (August 1992)
Child_development
British detective inspector
and Nairn, and Sergeants Thick, Godley, M'Carthy and Pearce have been constantly engaged, under the direction of Inspector Abberline (Scotland Yard), in
Edmund_Reid
Season of television series
Cerón and Alexis Cruz 154 12 "The Lord Moves in Mysterious Ways" Joel J. Feigenbaum R.J. Colleary January 21, 2001 (2001-01-21) 710 12.43 Monica and Andrew
Touched_by_an_Angel_season_7
2019 soundtrack album by Bryce Dessner
Winter, Timeri Duplat Music supervisor – Becky Bentham Copyist – Stephen Feigenbaum Orchestra Performer – London Contemporary Orchestra Orchestrator – Bryce
The_Two_Popes_(soundtrack)
Day of the year
Christie, American-French harpsichord player and conductor 1944 – Mitchell Feigenbaum, American physicist and mathematician (died 2019) 1944 – Martin Hume Johnson
December_19
Transoceanic communication line placed on the seabed
Military Studies. Jaggard, A. D., Johnson, A., Cortes, S., Syverson, P., & Feigenbaum, J. (2015). 20,000 in league under the sea: Anonymous communication, trust
Submarine communications cable
Submarine_communications_cable
Medical classification for HIV/AIDS
1097/00002030-200317004-00006. PMID 15080180. Gendelman HE, Phelps W, Feigenbaum L, Ostrove JM, Adachi A, Howley PM, Khoury G, Ginsberg HS, Martin MA (1986)
WHO Disease Staging System for HIV Infection and Disease in Adults and Adolescents
WHO_Disease_Staging_System_for_HIV_Infection_and_Disease_in_Adults_and_Adolescents
Music about gender and sexual minorities
Music, Identity and Queer World-making. Peter Lang. ISBN 9783034305532. Feigenbaum, Anna (2010-12-01). ""Now I'm a Happy Dyke!": Creating Collective Identity
LGBTQ_music
Feature of systems that defy description
features. A recent study based on molecular simulations and compliance constants describes molecular recognition as a phenomenon of organisation. Even
Complexity
Russian-American figure skater
injury". IceNetwork.com. Archived from the original on March 30, 2018. Feigenbaum, Paige (October 7, 2020). "Alex Krasnozhon One Stroke Closer to American
Alexei_Krasnozhon
Evans David C. Evans – computer graphics Shimon Even Scott Fahlman Edward Feigenbaum – intelligence Edward Felten – computer security Tim Finin Raphael Finkel
List_of_computer_scientists
Dynamical system
circuitry by developing a renormalization group approach (similar to Feigenbaum's universality to spatially extended systems). Kaneko's focus was more
Coupled_map_lattice
Fictional character from the soap opera Knots Landing
Knots Landing. Season 5. Episode 7. CBS. Bill Duke (director), Joel J. Feigenbaum (writer) (January 26, 1984). "Second Chances". Knots Landing. Season 5
Abby_Cunningham
FEIGENBAUM CONSTANTS
FEIGENBAUM CONSTANTS
Surname or Lastname
German
German : topographic name for someone who lived by a tree that was particularly noticeable in some way, from Middle High German, Old High German boum ‘tree’, or else a nickname for a particularly tall person.Jewish (Ashkenazic) : ornamental name from German Baum ‘tree’, or a short form of any of the many ornamental surnames containing this word as the final element, for example Feigenbaum ‘fig tree’ (see Feige) and Mandelbaum ‘almond tree’ (see Mandel).English : probably a variant spelling of Balm, a metonymic occupational name for a seller of spices and perfumes, Middle English, Old French basme, balme, ba(u)me ‘balm’, ‘ointment’ (see Balmer).
FEIGENBAUM CONSTANTS
FEIGENBAUM CONSTANTS
Boy/Male
Indian
A cowherd, Name of dynasty
Surname or Lastname
Welsh
Welsh : Anglicized form of the Welsh patronymic ap Heilyn ‘son of Heilyn’, which is probably a derivative of a word meaning ‘to serve at table’.English : habitational name from Palling in Norfolk or Poling in Sussex. These were named in Old English with the personal names Pælli and PÄl respectively, + -ingas ‘followers of’, ‘dependants of’.French : unexplained.A Palin, also written Palen and Pallin, from the Poitou region of France, is documented in Quebec City in 1692, with the secondary surname Dabonville.
Boy/Male
Hindu
Looks like Ishwar, The supreme God of Hindu, Lord of beauty
Girl/Female
African, Australian
Born on Monday
Male
English
 English occupational surname transferred to forename use, from the Latin word decanus, DEAN means "dean; ecclesiastical supervisor."
Boy/Male
Muslim
The loving
Male
Egyptian
, a mystical title of Amen Ra.
Surname or Lastname
English and French
English and French : from the personal name Coll + the pejorative suffix -ard.
Boy/Male
Christian & English(British/American/Australian)
Gift-Brave
Boy/Male
Australian, Scandinavian
Son of Nancy
FEIGENBAUM CONSTANTS
FEIGENBAUM CONSTANTS
FEIGENBAUM CONSTANTS
FEIGENBAUM CONSTANTS
FEIGENBAUM CONSTANTS