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2026 film by Niki Byrne
The Julia Set (sometimes stylized as Th= {Julia Set}) is an American coming-of-age drama film written and directed by Niki Byrne, starring Chase Infiniti
The_Julia_Set
Fractal sets in complex dynamics of mathematics
dynamics, the Julia set and the Fatou set are two complementary sets (Julia "laces" and Fatou "dusts") defined from a function. Informally, the Fatou set of
Julia_set
Fractal named after mathematician Benoit Mandelbrot
which the Julia set of the corresponding polynomial forms a connected set. In the same way, the boundary of the Mandelbrot set can be defined as the bifurcation
Mandelbrot_set
Complex Set that does not escape under iteration of a given function
The filled-in Julia set K ( f ) {\displaystyle K(f)} of a polynomial f {\displaystyle f} is the union of a Julia set and its interior, non-escaping set
Filled_Julia_set
American actress (born 2000)
Infiniti joined the cast of the coming-of-age drama The Julia Set. On June 26, 2026, she starred in the music video for "Bad" by the K-pop boy band Ateez
Chase_Infiniti
Boundary set in the complex plane
{\displaystyle \mathbb {C} } [z] or transcendental function. It is the Julia set of the meromorphic function z ↦ z − p(z)/p′(z) which is given by Newton's
Newton_fractal
French mathematician (1893–1978)
Gaston Maurice Julia (3 February 1893 – 19 March 1978) was a French mathematician who devised the formula for the Julia set. His works were popularized
Gaston_Julia
American actor (born 1998)
Coming-Of-Age Drama 'The Julia Set' From Niki Byrne". Deadline. Retrieved December 17, 2025. D'Alessandro, Anthony (January 7, 2026). "'The Summer I Turned
Christopher_Briney
Branch of mathematics
^{1}} , the Julia set, on which the dynamics of f is chaotic. For the mapping f ( z ) = z 2 {\displaystyle f(z)=z^{2}} , the Julia set is the unit circle
Complex_dynamics
American actor (born 1997)
first lead role in the 2024 Max film Sweethearts. In October 2025, Hiraga joined the cast of the coming-of-age film The Julia Set. Wakeman, Gregory (December
Nico_Hiraga
Continuous fractal curve obtained as the image of Cantor space
{\displaystyle d_{1}(z)=-{\sqrt {z-c}}.} Fixing the complex number c {\displaystyle c} , the result is the Julia set for that value of c {\displaystyle c} . This
De_Rham_curve
of the variable that occurs repeatedly after intervals of a fixed length. These periodic points play a role in the theories of Fatou and Julia sets. Let
Periodic points of complex quadratic mappings
Periodic_points_of_complex_quadratic_mappings
Infinitely detailed mathematical structure
so lacked the means to visualize the beauty and appreciate some of the implications of many of the patterns they had discovered (the Julia set, for instance
Fractal
British actress (born 1973)
Ejogo, Nico Hiraga, Liz Lin & Alex Dillard Join Coming-Of-Age Drama 'The Julia Set'". Deadline. Retrieved 15 July 2026. Wikiquote has quotations related
Carmen_Ejogo
Topics referred to by the same term
Look up Julia or Júlia in Wiktionary, the free dictionary. Julia may refer to: Julia (given name), including a list of people with the name Julia (surname)
Julia
Fractal related to the mandelbrot set
the Julia set of the function f c ( z ) = z 2 + c {\textstyle f_{c}(z)=z^{2}+c} , when parameter c {\displaystyle c} is near the center of one of the
Douady_rabbit
Locally connected dendroid
of Julia set. For example, if 0 is pre-periodic, but not periodic, under the function f ( z ) = z 2 + c {\displaystyle f(z)=z^{2}+c} , then the Julia set
Dendrite_(mathematics)
1987 film by Peter Del Monte
Julia and Julia (Italian: Giulia e Giulia) is a 1987 Italian drama film directed by Peter Del Monte. The screenplay by Silvia Napolitano, Sandro Petraglia
Julia_and_Julia
Quadratic polynomial
On the dynamical plane one can find: The Julia set The Filled Julia set The Fatou set Orbits The dynamical plane consists of: Fatou set Julia set Here
Complex_quadratic_polynomial
Italian and American actress and model (born 1990)
Julia Francesca Fox (born February 2, 1990) is an Italian and American actress, model, and media personality. Her debut performance was in the 2019 film
Julia_Fox
Parameter in the Mandelbrot set
the boundary of the Mandelbrot set. If c {\displaystyle c} is a Misiurewicz point, then the associated filled Julia set is equal to the Julia set and
Misiurewicz_point
American actress (born 1981)
Julia O'Hara Stiles (born March 28, 1981) is an American actress and director. Stiles began acting at the age of 11 as part of New York's La MaMa Experimental
Julia_Stiles
Construct in mathematics
recursions. The name is a portmanteau of multiple and Mandelbrot set. The same can be applied to the Julia set, this being called Multijulia set. z ↦ z d
Multibrot_set
Form of algorithmic art
post-processing. Non-fractal imagery may also be integrated into the artwork. The Julia set and Mandelbrot sets can be considered as icons of fractal art. It was assumed
Fractal_art
American actress and comedian (born 1961)
Julia Scarlett Elizabeth Louis-Dreyfus (/ˌluːi ˈdraɪfəs/ LOO-ee DRY-fəss; born January 13, 1961) is an American actress, comedian, and producer. She is
Julia_Louis-Dreyfus
American actress (born 1967)
Julia Fiona Roberts (born October 28, 1967) is an American actress. Known for her leading roles across several genres, she has received various accolades
Julia_Roberts
American cooking personality (1912–2004)
Julia Carolyn Child (née McWilliams; August 15, 1912 – August 13, 2004) was an American chef, author, and television personality. She is recognized for
Julia_Child
Mathematical map
and the square root of 2 the system maps a set of intervals between μ − μ2/2 and μ/2 to themselves. This set of intervals is the Julia set of the map
Tent_map
French mathematician (1878–1929)
was the first to introduce and study the set which is called now the Julia set.[citation needed] (The complement of this set is sometimes called the Fatou
Pierre_Fatou
American actress (born 1994)
Julia Garner (born February 1, 1994) is an American actress. She gained recognition for playing Ruth Langmore in the Netflix crime drama series Ozark (2017–2022)
Julia_Garner
Puerto Rican actor (1940–1994)
Raúl Rafael Carlos Juliá y Arcelay (March 9, 1940 – October 24, 1994) was a Puerto Rican actor and humanitarian. He was best known for his intense and
Raul_Julia
Partitioned topological space
It is a closed collection of chords in the unit disc. It is also a topological model of Mandelbrot or Julia set. Train track (mathematics) Orbit portrait
Lamination_(topology)
Daughter of Augustus (39 BC – AD 14)
Julia the Elder (30 October 39 BC – AD 14), known to her contemporaries as Julia Caesaris filia or Julia Augusti filia (Classical Latin: IVLIA•CAESARIS•FILIA
Julia_the_Elder
Components of the Fatou set
in the complex plane. Julia set with parabolic cycle Julia set with Siegel disc (elliptic case) Julia set with Herman ring The components of the map
Classification of Fatou components
Classification_of_Fatou_components
Complex plane fractal
corresponding Julia set of Burning Ship fractal A corresponding Julia set of Burning Ship fractal High resolution image of the burning ship fractal The structure
Burning_Ship_fractal
tiling Shishikura, Mitsuhiro (1991). "The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets". arXiv:math/9201282. Lebesgue curve
List of fractals by Hausdorff dimension
List_of_fractals_by_Hausdorff_dimension
Mandelbrot set. For parabolic julia set c = -1.125 + 0.21650635094611*i. It is a root point between period 2 and period 6 components of Mandelbrot set. Orbit
Orbit_portrait
An external ray is a curve that runs from infinity toward a Julia or Mandelbrot set. Although this curve is only rarely a half-line (ray) it is called
External_ray
2019 jukebox musical
from the original on 10 May 2024. Retrieved 28 December 2024. "Musical "& Julia" verlässt Hamburg – und hat neue Heimat gefunden" [Musical "& Julia" leaves
&_Juliet
Fractal with a boxlike shape
the origin does not escape to infinity under iteration of certain geometrical transformations. The mandelbox is defined as a map of continuous Julia sets
Mandelbox
Siegel discs are one of the possible cases of connected components in the Fatou set (the complementary set of the Julia set), according to Classification
Siegel_disc
Field of mathematics
which one replaces the complex numbers C by a p-adic field such as Qp or Cp and studies chaotic behavior and the Fatou and Julia sets. The following table
Arithmetic_dynamics
Circle with radius of one
easily calculated by hand using the angle sum and difference formulas. The Julia set of discrete nonlinear dynamical system with evolution function: f 0
Unit_circle
Field of mathematics and science based on non-linear systems and initial conditions
repelling structure called a Julia set, which forms at the boundary between basins of attraction of fixed points. Julia sets can be thought of as strange repellers
Chaos_theory
Algorithms and methods of plotting the Mandelbrot set on a computing device
and Julia sets requires handling symmetry differently for the two different types of graphs. Escape-time rendering of Mandelbrot and Julia sets lends
Plotting algorithms for the Mandelbrot set
Plotting_algorithms_for_the_Mandelbrot_set
German actress
Ejogo, Nico Hiraga, Liz Lin & Alex Dillard Join Coming-Of-Age Drama 'The Julia Set'". Deadline. Retrieved 13 July 2026. Britta Schmeis (30 September 2019)
Nina_Hoss
American television series
cryptocurrency exchange FTX. It will star Julia Garner and Anthony Boyle and is set to be released on Netflix. The series centres around Sam Bankman-Fried
The_Altruists
French-American mathematician (1924–2010)
computer to plot images of the Julia sets. While investigating the topology of these Julia sets, he studied the Mandelbrot set which he began visualizing
Benoit_Mandelbrot
that the rotation number of ƒ on the unit circle is ( 5 − 1 ) / 2 {\displaystyle ({\sqrt {5}}-1)/2} . The picture shown on the right is the Julia set of
Herman_ring
Limiting set in dynamical systems
In the mathematical field of dynamical systems, an attractor is a set of states toward which a system tends to evolve, for a wide variety of starting conditions
Attractor
English electronic musician (born 1971)
Shaft with Adrian Hughes, Vertigo with Danny Breaks, the 28 East Boyz with Kevin Hann, Chaos & Julia Set with Dominic Fripp, Mystic Institute with Paul Kent
Mark_Pritchard_(musician)
Dynamic programming language
with Julia, and Julia is supported in Raspbian). Work on Julia began in 2009, when Jeff Bezanson, Stefan Karpinski, Viral B. Shah, and Alan Edelman set out
Julia_(programming_language)
American actress (born 2009)
Julia Butters (born April 15, 2009) is an American actress. She began her career at the age of five, and starred as Trudi Fraser in the film Once Upon
Julia_Butters
American pornographic actress
Julia Ann is an American pornographic actress and feature dancer. She is a member of the AVN, XRCO, NightMoves, and Brazzers Halls of Fame. Ann says she
Julia_Ann
which the corresponding Julia set is connected. Without doubt, the most famous connectedness locus is the Mandelbrot set, which arises from the family
Connectedness_locus
2009 film by Nora Ephron
Julie & Julia is a 2009 American biographical comedy drama film written and directed by Nora Ephron starring Meryl Streep and Amy Adams in the title roles
Julie_&_Julia
2013 film by Joseph Kosinski
Victoria learn that the woman, Julia, was aboard the Odyssey spaceship and has been in stasis since 2017. Julia insists on recovering the ship's flight recorder
Oblivion_(2013_film)
Russian mathematician (born 1970)
in 1992. In 1996, he defended his Ph.D. thesis, Spectral Analysis of Julia Sets, at Caltech, with Nikolai Makarov as his primary thesis advisor. After
Stanislav_Smirnov
Set designer
Julia Trevelyan Oman, Lady Strong CBE (11 July 1930 – 10 October 2003) was an English television, theatre, ballet and opera set designer. Julia Trevelyan
Julia_Trevelyan_Oman
Quasiconformal complex image of a circle
the Julia set, then the Julia set is a quasicircle. There are many examples: quadratic polynomials R(z) = z2 + c with an attracting fixed point the Douady
Quasicircle
American actress (born 1995)
Julia Nicole Schlaepfer (born March 3, 1995) is an American actress, best known as Alice Charles in The Politician (2019–2020) and Alexandra Dutton in
Julia_Schlaepfer
British actress (1941–2019)
Julia Lockwood (born Margaret Julia Leon; 23 August 1941 – 24 March 2019) was a British actress. Daughter of Margaret Lockwood, her career began as a
Julia_Lockwood
Mathematician (1963-2016)
numbers. She is most well-known for her contributions to the study of the Mandelbrot set and Julia set. After gaining her PhD in Mathematics in 1986 at University
Tan_Lei
American author (born 1970)
known by her pen name, Julia Quinn, is an American author. Her novels have been translated into 41 languages and have appeared on The New York Times Bestseller
Julia_Quinn
Four-dimensional number system
variable. Examples of other functions include the extension of the Mandelbrot set and Julia sets into 4-dimensional space. A function of a quaternion can be
Quaternion
American cinematographer (born 1969)
Julia Roberts. Moder began his career as a production assistant in the 1995 action film Crimson Tide. The following year, he worked on the set of the
Daniel_Moder
American actress (born 1951)
Julia Margaret Duffy (née Hinds; born June 27, 1951) is an American actress. From 1983 to 1990, she played Stephanie Vanderkellen in the TV series Newhart
Julia_Duffy
1977 novel by Mario Vargas Llosa
Aunt Julia and the Scriptwriter (Spanish: La tía Julia y el escribidor) is the seventh novel by Nobel Prize-winning author Mario Vargas Llosa. It was
Aunt Julia and the Scriptwriter
Aunt_Julia_and_the_Scriptwriter
British writer and playwright (born 1948)
Dame Julia Catherine Donaldson DBE (née Shields; born 16 September 1948) is a British writer and playwright, and the 2011–2013 Children's Laureate. She
Julia_Donaldson
2023 film by Sam Esmail
by Rumaan Alam. The film stars Julia Roberts, Mahershala Ali, Ethan Hawke, Myha'la, and Kevin Bacon as they attempt to make sense of the gradual breakdown
Leave_the_World_Behind_(film)
English actress
Julia Davis (born 25 August 1966) is an English actress, comedian, director and writer. She wrote and starred in comedies including Human Remains (2000)
Julia_Davis
British abolitionist (1811 – 1895)
Julia Griffiths (29 May 1811 – 1895) was a British abolitionist who worked with the prominent American abolitionist Frederick Douglass. The two met in
Julia_Griffiths
Book by Heinz-Otto Peitgen
and fractals. In particular the Feigenbaum scenario and the relation to Julia sets and the Mandelbrot set is discussed. The following special sections
The_Beauty_of_Fractals
Concept in complex dynamics
the Julia set. In particular, the escaping set is never closed. For a transcendental entire function, the escaping set always intersects the Julia set. In
Escaping_set
American actress (born 1959)
Julia Sweeney (born October 1958) is an American actress and comedian. She gained fame as a cast member on the NBC sketch comedy series Saturday Night
Julia_Sweeney
Real-valued number of spatial dimensions
strange attractors, for which the detail has been described as in essence, smooth portions piling up, the Julia set, which can be seen to be complex
Fractal_dimension
Shondaland for Netflix. It is based on the Regency romance literary series by Julia Quinn set in London's ton during the season, when debutantes are presented
List_of_Bridgerton_characters
finally their daughter Julia, her husband and her daughter and son. Ezekiel "Zeek" Braverman (Craig T. Nelson) is the patriarch of the Braverman family, Camille's
List_of_Parenthood_characters
American centenarian athlete (1916–2024)
up track and field after turning 100, and set world records in the 100-meter dash in her age category. Julia Welles was born in Lake Geneva, Wisconsin
Julia_Hawkins
Interactive fractal zoomer program
(order 3 and 4), Phoenix fractal and Magnet (1 and 2). XaoS can display Julia sets from selected fractal parts. Xaos also allows users to enter custom formulas
XaoS
Set of points that satisfy some specified conditions
which the Julia set of the function is connected. More recently, techniques such as the theory of schemes, and the use of category theory instead of set theory
Locus_(mathematics)
2004 drama film directed by Sebastián Szabó
Being Julia is a 2004 comedy-drama film directed by István Szabó and starring Annette Bening and Jeremy Irons. The screenplay by Ronald Harwood is based
Being_Julia
Simple polynomial map exhibiting chaotic behavior
∞ is called a filled Julia set. Furthermore, the boundary of a filled Julia set is called a Julia set. When the iteration of the map (6–3) is calculated
Logistic_map
American mathematician (1948–2025)
transcendental entire functions, and the fractal structures he described in their Julia sets became known as Devaney hairs. Devaney was born in Lawrence, Massachusetts
Robert_L._Devaney
2015 film by Jean-Marc Vallée
father-in-law, Phil. His wife, Julia, is driving them when they are struck by another vehicle, killing Julia. Recovering in the hospital, he attempts to purchase
Demolition_(2015_film)
Inherent structure of the mandelbrot set
Pickover Stalks. At the end of the 1980s, Pickover developed biological feedback organisms similar to Julia sets and the fractal Mandelbrot set. According to
Pickover_stalk
more than the expected price. A contemporary art foundation was set up in her name in San Salvador after her death, called the Fundación Julia Díaz "Díaz
Julia_Díaz
1873 painting by Claude Monet
the main character, David (Tom Cruise), owns the painting, and his subconscious makes use of its depiction of the sky. Baltimore Screamo band Julia Set
The_Seine_at_Argenteuil
Use of braces for specifying sets
{Z} ,n=2k\}} — The set of all even integers, expressed in set-builder notation. In mathematics and more specifically in set theory, set-builder notation
Set-builder_notation
Austrian tennis player (born 1996)
three-set win over Julia Riera in the semifinals. However, she lost the final to Lucia Bronzetti, also in three sets. She won her first match at the French
Julia_Grabher
Universality (dynamical systems). Cantor set de Rham curve Gravity set, or Mitchell-Green gravity set Julia set - derived from complex quadratic map Koch
List_of_chaotic_maps
American comedy drama series
The Chair is an American comedy drama television series created by Amanda Peet and Annie Julia Wyman. It is set at the fictional Pembroke University, "in
The_Chair_(2021_TV_series)
2021 film directed by Michael Mohan
suspicions. The next day, "Margot", whose real name is Julia, visits L'Optique, where she receives an eye exam from Pippa and orders a new set of glasses
The_Voyeurs
analog of the Julia set in parameter space. Without doubt, the most famous example of a bifurcation locus is the boundary of the Mandelbrot set. Parameters
Bifurcation_locus
1989 American film by Herbert Ross
Hannah, Olympia Dukakis, and Julia Roberts. The screenplay by Robert Harling is based on his 1987 play of the same name about the bond a group of women share
Steel_Magnolias
Archived from the original on June 20, 2015. Retrieved October 5, 2018 – via PR Newswire. Feinberg, Scott (July 15, 2022). "Julia Roberts Set for Honor at
List of awards and nominations received by Julia Roberts
List_of_awards_and_nominations_received_by_Julia_Roberts
Software generating fractal images
generalized function for a class of shapes known as Julia sets. In 1979, Mandelbrot discovered that one image of the complex plane could be created by iteration
Fractal-generating_software
French mathematician (1935–2006)
maps. The Douady rabbit, a quadratic filled Julia set, is named after him. Douady taught at the University of Nice and was a professor at the Paris-Sud
Adrien_Douady
Mandelbar Set
the Julia set J ( f c ) {\displaystyle J(f_{c})} is connected. The higher degree analogues of the tricorn are known as the multicorns. These are the connectedness
Tricorn_(mathematics)
American mathematician
Growth of the zeta function for a quadratic map and the dimension of the Julia set. "John Strain". berkeley.edu. Retrieved 18 April 2016. "The Mathematics
John_Strain_(mathematician)
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