Monthly Best Of on 05/28/2022




Iterations in the complex plane

Jean-François COLONNA
[Contact me]

www.lactamme.polytechnique.fr

CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, École polytechnique, Institut Polytechnique de Paris, CNRS, France

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(CMAP28 WWW site: this page was created on 05/28/2022 and last updated on 10/03/2024 17:04:31 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

(*): Undisplayed pictures -if any- do not exist.



David versus Goliath: there is a war between Ukraine and Russia
1-84 reference(s)		A tridimensional billiard starting with a Menger Sponge -iteration 2-
2-60 reference(s)		Artistic view of the prime numbers
3-39 reference(s)		The generalized Ulam spiral
4-37 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
5-36 reference(s)		A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
6-36 reference(s)		16 earth-like planets initially on the same keplerian trajectory
7-35 reference(s)		Rotation about the Y (vertical)axis of a tridimensional fractal aggregates that can also be viewed as a set of 4x3 pseudo-stereograms
8-34 reference(s)
Table mountain
9-34 reference(s)		Earthquake with multifractal mountains
10-34 reference(s)		Autostereogram with an hidden ring and ghost bows
11-32 reference(s)		Coalescence of 40832 particles -black holes?- inside a tridimensional parallelepipedic billiard with display of the dynamics of the mass histogram
12-28 reference(s)
A Tridimensional Hilbert-like Curve defined with {X3(...),Y3(...),Z3(...)} -iteration 3-
13-27 reference(s)		The normal field of a shell (Jeener surface 1)
14-27 reference(s)		Autostereogram with an hidden volcano
15-26 reference(s)		A Tridimensional Hilbert-like Curve defined with {X3(...),Y3(...),Z3(...)} and based on an 'open' 3-foil torus knot -iteration 3-
16-26 reference(s)
Waltzing Monument Valley
17-26 reference(s)		Bidimensional rectangular billiard with 16 random particles, with collisions and display of their gravity center -white particle-
18-25 reference(s)		display of the Lyapunov exponent computed for different iteration numbers of a Julia set
19-25 reference(s)		A Jeener-Möbius tridimensional manifold computed on one computer with and without imposing the order of the elementary operations respectively -display of the discrepancies-
20-23 reference(s)
Artistic variation on the bidimensional rectangular billiard with 64 random particles, with collisions and computation of their gravity center
21-22 reference(s)		Texture animation by means of the Generalized Product
22-22 reference(s)		Snowy day
23-22 reference(s)		The Nympheas -a Tribute to Claude Monet-
24-22 reference(s)
The Jeener-Klein triple bottle
25-22 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
26-21 reference(s)		Tridimensional fractal aggregates obtained by means of pasting during collisions of particles submitted to an attractive central field of gravity
27-21 reference(s)		A Tridimensional Hilbert-like Curve defined with {X3(...),Y3(...),Z3(...)} and based on an 'open' 3-foil torus knot -iteration 3-
28-21 reference(s)
Foggy steep island
29-21 reference(s)		The random walk of photons escaping the Sun
30-20 reference(s)		Tridimensional fractal aggregates obtained by means of pasting during collisions of particles submitted to an attractive central field of gravity
31-20 reference(s)		Untitled 0596
32-20 reference(s)
Happy new year 2000
33-20 reference(s)		Foggy island
34-20 reference(s)		The Sierpinski Carpet -iteration 1 to 5-
35-19 reference(s)		A Tridimensional Hilbert-like Curve defined with {X2(...),Y2(...),Z2(...)} and based on an 'open' 3-foil torus knot -iteration 2-
36-19 reference(s)
David versus Goliath: there is a war between Ukraine and Russia
37-18 reference(s)		Elliptical landscape interpolation (bird's-eye view)
38-18 reference(s)		Color palette 'jaune'
39-18 reference(s)		Fractal synthesis of the light cloud dynamics -this sequence being periodical-
40-18 reference(s)
Rotation about the Y axis of the 32 vertices of a 5-cube with fog
41-18 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-'children's corner' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
42-18 reference(s)		The Lorenz attractor
43-18 reference(s)		An interpolation between two fractal networks
44-17 reference(s)
A Bidimensional Hilbert-like Curve defined with {X5(...),Y5(...)} -iteration 5-
45-17 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
46-17 reference(s)		The set of bidimensional fields defining the 'Y' coordinate of an interpolation between the Klein bottle and the double Jeener bottle
47-16 reference(s)		Bidimensional abstract texture with random anthropomorphic patterns
48-16 reference(s)
Dynamics of an erosion process (bird's-eye view)
49-16 reference(s)		Cloud dynamics -this sequence being periodical- (bird's-eye view)
50-16 reference(s)		A fractal Möbius strip
51-16 reference(s)		A shell (Jeener surface 1)
52-16 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
53-16 reference(s)		Autostereogram with an hidden volcano
54-15 reference(s)		An amazing cross-section inside the Menger Sponge -iteration 5-
55-15 reference(s)		Random quadrangulation of a cube -8x8x8-
56-15 reference(s)
The bidimensional Ising Model with 2-state spins, a centred gaussian temperature field (minimum=0.035,maximum=0.6)and random initial conditions
57-15 reference(s)		Untitled 0004
58-15 reference(s)		The Klein bottle
59-15 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
60-15 reference(s)
A tridimensional intertwining
61-14 reference(s)		Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
62-14 reference(s)		Rotation about the Y (vertical)axis of a tridimensional fractal aggregate that can also be viewed as a set of 4x3 pseudo-stereograms
63-14 reference(s)		Pseudo Olympic Rings
64-14 reference(s)
A Tridimensional Hilbert-like Curve defined with {X1(...),Y1(...),Z1(...)} and based on an 'open' 3-foil torus knot -iteration 1-
65-14 reference(s)		A Tribute to Piet Mondrian and to David Hilbert
66-14 reference(s)		Animation of a sunrise on mountains
67-14 reference(s)		Quark and gluon structure of a nucleon
68-14 reference(s)
2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
69-14 reference(s)		Hypercube
70-14 reference(s)		Extended life game
71-14 reference(s)		The Jeener-Klein triple bottle
72-14 reference(s)
The Universe at the heart of a Calabi-Yau manifold
73-13 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
74-13 reference(s)		A regular 7-gon -an heptagon-
75-13 reference(s)		Botticelli anomaly on the Moon
76-13 reference(s)
An arbitrary surface (Jeener surface 2)in motion
77-13 reference(s)		Rotation about the X axis of the 32 vertices of a 5-cube
78-13 reference(s)		2.pi rotation about the Y axis of a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
79-13 reference(s)		16 complex Julia sets
80-13 reference(s)
Happy new year 2000
81-13 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
82-13 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
83-13 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
84-13 reference(s)
A tridimensionally distorded aperiodic Penrose tiling of the Golden Decagon
85-12 reference(s)		2000 evenly distributed points on a sphere by means of the Fibonacci spiral
86-12 reference(s)		A Tridimensional Hilbert-like Curve defined with {X3(...),Y3(...),Z3(...)} and based on an 'open' 7-foil torus knot -iteration 3-
87-12 reference(s)		A Tridimensional Hilbert-like Curve defined with {X2(...),Y2(...),Z2(...)} and based on an 'open' 3-foil torus knot -iteration 2-
88-12 reference(s)
Color palette 'rouge'
89-12 reference(s)		Artistic view of a 2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
90-12 reference(s)		Tridimensional display of the inflationary Universe
91-12 reference(s)		Black dots on a square lattice
92-12 reference(s)
Tridimensional Hilbert Curve -iteration 3-
93-12 reference(s)		The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
94-12 reference(s)		The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
95-12 reference(s)		From the infinitely small to the infinitely big
96-12 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
97-12 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
98-12 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
99-11 reference(s)		The first four iterations of the construction of the von Koch snowflake
100-11 reference(s)
Quantum vacuum fluctuations
101-11 reference(s)		Autostereogram with an hidden volcano
102-11 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
103-11 reference(s)		Tridimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to a vertical field of gravity
104-11 reference(s)
The set of bidimensional fields defining the three coordinates of an interpolation between the Möbius strip and the Klein bottle
105-11 reference(s)		A Tridimensional Hilbert-like Curve defined with {X2(...),Y2(...),Z2(...)} -iteration 2-
106-11 reference(s)		A Bidimensional Hilbert-like Curve defined with {X2(...),Y2(...)} -iteration 2-
107-11 reference(s)		A Bidimensional Hilbert-like Curve defined with {X1(...),Y1(...)} -iteration 1-
108-11 reference(s)
From Pluto to the Sun (linear scales)
109-11 reference(s)		From Pluto to the Sun (non linear scales)
110-11 reference(s)		N-body problem integration (N=10)displaying the actual Solar System
111-11 reference(s)		Phase rotation of the wavelet transform of a bidimensional fractal field
112-11 reference(s)
An arbitrary surface (Jeener surface 2)
113-11 reference(s)		A quaternionic Julia set -tridimensional cross-section-
114-11 reference(s)		16 complex Julia sets
115-11 reference(s)		2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
116-11 reference(s)
Jean-François COLONNA (on 11/17/1994)with its fractal mountains
117-11 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
118-11 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
119-11 reference(s)		A set of 4x3 stereograms of a tridimensional fractal structure
120-11 reference(s)
Tridimensional fractal structure in a tridimensional torus
121-11 reference(s)		A shell (Jeener surface 1)in motion
122-11 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
123-10 reference(s)		Two multiplexed autostereograms by means of a pi/2 rotation
124-10 reference(s)
Autostereogram with an hidden volcano
125-10 reference(s)		Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
126-10 reference(s)		Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
127-10 reference(s)		Cauliflowers, seaweeds, shells,... with fog
128-10 reference(s)




2-The 128 most referenced Pages (*):

(*): Unclickable pages -if any- do not exist.



1-AVirtualSpaceTimeTravelMachine.Ang
1737 reference(s)		2-Informations_AboutPicturesAnimationsAndFiles.01.Ang
1105 reference(s)
3-An2000.01.Fra
945 reference(s)		4-copyright.01.
842 reference(s)
5-mail.01.vv
801 reference(s)		6-Vcatalogue.11
716 reference(s)
7-Informations_AboutPicturesAnimationsAndFiles.01.Fra
663 reference(s)		8-help.
480 reference(s)
9-error-not-supported-platform
341 reference(s)		10-Galerie_NumberTheory.FV
278 reference(s)
11-Galerie_DeterministicFractalGeometry.FV
269 reference(s)		12-Galerie_CelestialMechanics.FV
250 reference(s)
13-Fractal.21
248 reference(s)		14-Galerie_ArtisticCreation.FV
234 reference(s)
15-Galerie_GeneralitiesVisualization.FV
210 reference(s)		16-demo_14
205 reference(s)
17-Commentaires_DefinitionPseudoOctonions.01
185 reference(s)		18-Commentaires_DefinitionOctonions.01
179 reference(s)
19-Commentaires_EnsembleMandelbrotOctonion.01
175 reference(s)		20-Galerie_ParticleSystems.FV
174 reference(s)
21-Commentaires_DefinitionPseudoQuaternions.01
174 reference(s)		22-Galerie_ArtAndScience.FV
153 reference(s)
23-NDimensionalDeterministicFractalSets.01.Ang
145 reference(s)		24-Galerie_TextureSynthesis.FV
141 reference(s)
25-NDimensionalDeterministicFractalSets.01.Fra
137 reference(s)		26-SurfaceProjector.01.Fra
136 reference(s)
27-FloatingPointNumbers.01.Fra
136 reference(s)		28-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
133 reference(s)
29-UlamSpiral.01.Fra
132 reference(s)		30-An2000.01.Ang
132 reference(s)
31-GoldenTriangle.01.Fra
128 reference(s)		32-MonodimensionalCellularAutomata.01.Ang
126 reference(s)
33-Commentaires_DefinitionQuaternions.01
125 reference(s)		34-Fractal.01
124 reference(s)
35-Galerie_ImagesDidactiques.FV
123 reference(s)		36-AVirtualSpaceTimeTravelMachine.Fra
123 reference(s)
37-Informations_GoodNewsAndBadNews.01.Fra
122 reference(s)		38-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
117 reference(s)
39-Galerie_AnthropomorphicPatterns
115 reference(s)		40-Commentaires_SystemeSolaire.01
114 reference(s)
41-Galerie_NewPictures.FV
112 reference(s)		42-Galerie_AnthropomorphicPatterns.FV
112 reference(s)
43-VirtualChaos.01.Fra
111 reference(s)		44-Galerie_DeterministicChaos.FV
111 reference(s)
45-Commentaires_EnsembleMandelbrotQuaternion.01
111 reference(s)		46-LOG_xiMc.11
109 reference(s)
47-Galerie_QuantumMechanics.FV
108 reference(s)		48-Informations_GoodNewsAndBadNews.01.Ang
106 reference(s)
49-ImagesEncadreesDisponibles.01
106 reference(s)		50-Galerie_ImagesDesMathematiques.FV
106 reference(s)
51-AProposSite.01.Fra
106 reference(s)		52-MonodimensionalCellularAutomata.01.Fra
105 reference(s)
53-Galerie_Tributes.FV
104 reference(s)		54-DieuScience.01.Fra
104 reference(s)
55-ImagesDuVirtuel.01.Fra.FV
103 reference(s)		56-GenieLogiciel.01.Fra
103 reference(s)
57-RealNumbers.01.Fra
102 reference(s)		58-EntrelacsIntertwinings.01.Fra
101 reference(s)
59-MathematiquesPhysiqueFractales.12
99 reference(s)		60-EntrelacsIntertwinings.01.Ang
99 reference(s)
61-ArithmetiqueEtOrdinateur.01.vv.Fra
97 reference(s)		62-Fractal.11
96 reference(s)
63-SurfaceProjector.01.Ang
95 reference(s)		64-Galerie_ParticleSystems
95 reference(s)
65-Autostereograms.01.
95 reference(s)		66-Stereogrammes_AutoStereogrammes.01
94 reference(s)
67-ImagesDuVirtuel.01.Fra
94 reference(s)		68-Exposition_EcolePolytechnique_FeteDeLaScience_201910
94 reference(s)
69-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
93 reference(s)		70-MorePages.Ang.
92 reference(s)
71-demo_14.FV
91 reference(s)		72-Fractal.03
91 reference(s)
73-Commentaires_EspaceLyapunovComplexe.01
91 reference(s)		74-RemarquesCerveau.01
90 reference(s)
75-FloatingPointNumbers.01.Ang
90 reference(s)		76-AnimFractal.01.
90 reference(s)
77-present.01.
89 reference(s)		78-Galerie_NumberTheory
89 reference(s)
79-Commentaires_NKleinBottle.03
89 reference(s)		80-Galerie_SignalProcessing.FV
88 reference(s)
81-ExpV_VirE.Ang
88 reference(s)		82-catalogue.11
87 reference(s)
83-NatureDesMathematiques.01.vv.Fra
87 reference(s)		84-DecimalesPi_1_100.vv
87 reference(s)
85-BEST.20180528
87 reference(s)		86-GenieLogiciel_VisualisationScientifique.01.vv
85 reference(s)
87-Galerie_SensitivityToRoundingOffErrors.FV
85 reference(s)		88-Galerie_BestOf.FV
85 reference(s)
89-BEST.20190228
83 reference(s)		90-BEST.20131228
83 reference(s)
91-ImpossibleStructures.01.Ang
82 reference(s)		92-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
82 reference(s)
93-EnsembleDesGaleries.DIAPO.0578
81 reference(s)		94-PerteDeLAssociativite.01
80 reference(s)
95-Galerie_Astrophysics.FV
80 reference(s)		96-Commentaires_PseudoSphere.01
80 reference(s)
97-Web_Mail.01.vv
79 reference(s)		98-UlamSpiral.01.Ang
79 reference(s)
99-HommageBenoitMandelbrot.21
79 reference(s)		100-ExpV_VirE.21
79 reference(s)
101-ArtScience.01
79 reference(s)		102-ArtEtMathematiques.01
79 reference(s)
103-subject.01.
78 reference(s)		104-Kepler.02.
78 reference(s)
105-ExpV_VirE.11
78 reference(s)		106-CompressionDeCompression_ComplexiteStructurelle.PNG_Random.01
78 reference(s)
107-VirtualChaos.01.Ang
77 reference(s)		108-MathematiquesPhysiqueFractales.22
77 reference(s)
109-EntrelacsIntertwinings.01.Ang.DIAPO.0035
77 reference(s)		110-CompressionDeCompression_ComplexiteStructurelle.bzip2_R.02
77 reference(s)
111-An2000.04.Fra
77 reference(s)		112-infinity.01.vv.DIAPO
76 reference(s)
113-Galerie_Astrophysics.DIAPO.0006
76 reference(s)		114-EntrelacsIntertwinings.01.Ang.DIAPO.0071
76 reference(s)
115-An2000.06.Fra
76 reference(s)		116-T_DuReelAuVirtuel_MetaOrdinateur.02.Fra.0003
75 reference(s)
117-Pcatalogue.11
75 reference(s)		118-MathematiquesPhysiqueFractales.02
75 reference(s)
119-IllusionConnaissance.02
75 reference(s)		120-ConjectureDeSyracuse_0256.vv
75 reference(s)
121-verhulst.94.c.
74 reference(s)		122-ImpossibleStructures.01.Fra
74 reference(s)
123-EntrelacsIntertwinings.01.Ang.DIAPO.0509
74 reference(s)		124-Commentaires_Hyperboloide.01
74 reference(s)
125-xDarchivesG__SMC__sources__utilitaires_____SI_ASSYS
73 reference(s)		126-SyntheseComplexiteStructurelle.01
73 reference(s)
127-Polynomials_RationalNumbers.01.Fra
73 reference(s)		128-MorePages.Fra.
73 reference(s)

And now, enjoy visiting A Virtual Space-Time Travel Machine.




Copyright © Jean-François COLONNA, 2022-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2022-2024.