Monthly Best Of on 03/28/2009




Iterations in the complex plane

Jean-François COLONNA
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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 03/28/2009 and last updated on 11/14/2023 17:47:14 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The random walk of photons escaping the Sun
1-1200 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-531 reference(s)		 The scale invariance of the bidimensional Ising Model after 20000 iterations on a 5000x5000 lattice, with 2-state spins, random initial conditions and for a temperature equal to the critical temperature
3-421 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-355 reference(s)
The Scream -a Tribute to Edvard Munch-
5-316 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
6-297 reference(s)		 Quark and gluon structure of a nucleon
7-288 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
8-237 reference(s)
Happy new year 2000
9-192 reference(s)		 Autostereogram with an hidden ring and ghost bows
10-171 reference(s)		 The Lorenz attractor
11-171 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
12-163 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
13-156 reference(s)		 Autostereogram with an hidden volcano
14-146 reference(s)		 Hypercube
15-146 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
16-142 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
17-134 reference(s)		 Black dots (inside random white squares)on a square lattice
18-132 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
19-124 reference(s)		 Autostereogram with an hidden volcano
20-123 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
21-122 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
22-118 reference(s)		 Artistic view of the prime numbers
23-111 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
24-110 reference(s)
The random walk of photons escaping the Sun
25-100 reference(s)		 Intertwining
26-94 reference(s)		 From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
27-93 reference(s)		 Particles in a bidimensional box submitted to an attractive central field of gravity
28-93 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
29-85 reference(s)		 Mountains at sunrise
30-82 reference(s)		 Autostereogram with an hidden volcano
31-79 reference(s)		 Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
32-79 reference(s)
Autostereogram with an hidden volcano
33-78 reference(s)		 Quark and gluon structure of a nucleon
34-76 reference(s)		 Electron-positron scattering
35-76 reference(s)		 The random walk of photons escaping the Sun
36-71 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
37-67 reference(s)		 The Birth of the Universe
38-63 reference(s)		 The Möbius strip
39-62 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
40-60 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
41-59 reference(s)		 Tridimensional brownian motion -the colors used (magenta,red,yellow,green,cyan)are an increasing function of the time- and the 'external border' of its bidimensional projection -white-
42-59 reference(s)		 From Pluto to the Sun (non linear scales)
43-57 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
44-57 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold that can also be viewed as a set of 4x3 stereograms
45-55 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
46-55 reference(s)		 Autostereogram with an hidden volcano and an animated disguise texture
47-54 reference(s)		 Snowy multifractal mountains
48-53 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
49-53 reference(s)		 Along the border of the Mandelbrot set
50-52 reference(s)		 True colors autostereogram of a fractal landscape
51-52 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
52-51 reference(s)
The generalized Ulam spiral displaying 100 numbers
53-50 reference(s)		 The Eratosthene sieve displaying 100x100 numbers
54-50 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
55-50 reference(s)		 Quark and gluon dynamics of the nucleon
56-48 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
57-47 reference(s)		 The trajectories of bidimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to a vertical field of gravity
58-47 reference(s)		 Two multiplexed autostereograms by means of a pi/2 rotation
59-45 reference(s)		 Computation of the Lorenz attractor on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
60-45 reference(s)
Alien
61-44 reference(s)		 Botticelli anomaly on the Moon
62-44 reference(s)		 Tridimensional fractal structure
63-43 reference(s)		 Untitled 0115
64-42 reference(s)
A quaternionic Julia set -tridimensional cross-section-
65-42 reference(s)		 The Lorenz attractor
66-41 reference(s)		 Happy new year 2000
67-41 reference(s)		 The foggy Earth planet
68-41 reference(s)
Quantum vacuum fluctuations
69-40 reference(s)		 A bidimensional fern computed by means of an 'Iterated Function System' -IFS-
70-40 reference(s)		 Chessboard
71-39 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
72-38 reference(s)
From Pluto to the Sun -extrapolation 2- (non linear scales)
73-37 reference(s)		 Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
74-37 reference(s)		 A pyramidal Menger sponge computed by means of an 'Iterated Function System' -IFS-
75-37 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
76-37 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
77-36 reference(s)		 24 evenly distributed points on a sphere by means of simulated annealing
78-36 reference(s)		 N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed with 2 different optimization options on the same computer (sensitivity to rounding-off errors)
79-36 reference(s)		 Extended life game
80-36 reference(s)
Tridimensional heterogeneous fractal structure in a tridimensional torus
81-36 reference(s)		 Artistic view of a quadridimensional Calabi-Yau manifold
82-36 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
83-35 reference(s)		 Animation of a sunrise on mountains
84-35 reference(s)
La Génèse (1974)
85-35 reference(s)		 An Archimedes spiral displaying 1000 numbers
86-34 reference(s)		 Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
87-34 reference(s)		 Rotation about the X axis of a tridimensional brownian motion
88-34 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
89-33 reference(s)		 Autostereogram with an hidden volcano
90-32 reference(s)		 Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
91-32 reference(s)		 A bidimensional Sierpinski 'carpet' computed by means of an 'Iterated Function System' -IFS-
92-32 reference(s)
Electron diffraction
93-32 reference(s)		 Artistic view of the Big Bang
94-31 reference(s)		 Isotropic random walk of 4 particles on a bidimensional square lattice with display of their gravity center -white particle-
95-31 reference(s)		 The generalized Ulam spiral displaying 1024 numbers
96-31 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
97-31 reference(s)		 A shell (Jeener surface 1)in motion
98-31 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
99-31 reference(s)		 Recursive intertwining
100-30 reference(s)
A tridimensional Möbius-like manifold defined by means of three tridimensional fields
101-30 reference(s)		 Foggy island
102-30 reference(s)		 The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
103-29 reference(s)		 Foggy seaboard
104-29 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0]
105-28 reference(s)		 The first two iterations of the construction of the von Koch curve
106-28 reference(s)		 Chessboard based on the geometry of the Boy surface
107-28 reference(s)		 A 'fractal plane' with overhangings defined by means of three bidimensional fields
108-28 reference(s)
A fractal surface (five iterations)defined by means of three bidimensional fields
109-28 reference(s)		 The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
110-28 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
111-28 reference(s)		 The City and the Stars -a Tribute to Arthur C. Clarke-
112-27 reference(s)
Light clouds
113-27 reference(s)		 Happy new year 2000
114-27 reference(s)		 Earthquake with multifractal mountains
115-27 reference(s)		 Quantum vacuum fluctuation dynamics
116-26 reference(s)
Along the border of the Mandelbrot set
117-26 reference(s)		 Isotropic random walk of 4 particles on a bidimensional square lattice with display of their gravity center -white particle-
118-26 reference(s)		 The Eratosthene sieve displaying 10x10 numbers
119-26 reference(s)		 An arbitrary surface (Jeener surface 2)in motion
120-26 reference(s)
From the infinitely small to the infinitely big
121-26 reference(s)		 Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
122-26 reference(s)		 Intertwining
123-25 reference(s)		 Bidimensional abstract texture with random anthropomorphic patterns
124-25 reference(s)
The Lorenz attractor in motion
125-25 reference(s)		 White Hole
126-25 reference(s)		 Bidimensional visualization of a bidimensional turbulent flow -sensitivity to initial conditions-
127-25 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
128-25 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
1287 reference(s)		 2-AVirtualSpaceTimeTravelMachine.Ang
693 reference(s)
3-An2000.01.Fra
395 reference(s)		 4-AVirtualSpaceTimeTravelMachine.Fra
291 reference(s)
5-Galerie_ArtisticCreation.FV
287 reference(s)		 6-help.
268 reference(s)
7-Galerie_GeneralitiesVisualization.FV
265 reference(s)		 8-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
234 reference(s)
9-FloatingPointNumbers.01.Fra
234 reference(s)		 10-SurfaceProjector.01.Ang
230 reference(s)
11-EntrelacsIntertwinings.01.Fra
230 reference(s)		 12-FloatingPointNumbers.01.Ang
227 reference(s)
13-SurfaceProjector.01.Fra
225 reference(s)		 14-Galerie_ParticleSystems.FV
220 reference(s)
15-Fractal.01
219 reference(s)		 16-Galerie_NumberTheory.FV
218 reference(s)
17-Galerie_ArtAndScience.FV
213 reference(s)		 18-Autostereograms.01.
206 reference(s)
19-ExpV_VirE.11
201 reference(s)		 20-Informations_AboutPicturesAnimationsAndFiles.01.Ang
191 reference(s)
21-ImagesDuVirtuel.01.Fra
190 reference(s)		 22-Galerie_DeterministicFractalGeometry.FV
182 reference(s)
23-AProposSite.01.Fra
182 reference(s)		 24-copyright.01.
179 reference(s)
25-Galerie_NewPictures.DIAPO.0021
178 reference(s)		 26-Galerie_ArtisticCreation.DIAPO.0091
178 reference(s)
27-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0035
177 reference(s)		 28-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0044
175 reference(s)
29-Galerie_ArtisticCreation.DIAPO.0026
175 reference(s)		 30-Galerie_ArtisticCreation.DIAPO.0024
175 reference(s)
31-AVirtualSpaceTimeTravelMachine.Ang.FV
175 reference(s)		 32-mail.01.vv
174 reference(s)
33-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0038
174 reference(s)		 34-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0037
174 reference(s)
35-Galerie_NewPictures.DIAPO.0022
174 reference(s)		 36-EntrelacsIntertwinings.01.Ang
172 reference(s)
37-Galerie_NewPictures.FV
171 reference(s)		 38-Galerie_NewPictures.DIAPO.0030
171 reference(s)
39-EnsembleDesGaleries.DIAPO.0557
171 reference(s)		 40-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0045
170 reference(s)
41-Galerie_ArtisticCreation.DIAPO.0025
170 reference(s)		 42-EnsembleDesGaleries.DIAPO.0329
170 reference(s)
43-AQuoiServentLesMathematiques.01
170 reference(s)		 44-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0039
169 reference(s)
45-Galerie_GeneralitiesVisualization.DIAPO.0045
169 reference(s)		 46-EnsembleDesGaleries.DIAPO.0562
169 reference(s)
47-EnsembleDesGaleries.DIAPO.0560
169 reference(s)		 48-EnsembleDesGaleries.DIAPO.0558
169 reference(s)
49-EnsembleDesGaleries.DIAPO.0556
169 reference(s)		 50-Galerie_GeneralitiesVisualization.DIAPO.0041
168 reference(s)
51-Galerie_ArtisticCreation.DIAPO.0092
168 reference(s)		 52-EnsembleDesGaleries.DIAPO.0523
168 reference(s)
53-EnsembleDesGaleries.DIAPO.0522
168 reference(s)		 54-EnsembleDesGaleries.DIAPO.0214
168 reference(s)
55-MonodimensionalCellularAutomata.01.Fra
167 reference(s)		 56-ImagesDuVirtuel.01.Fra.FV
167 reference(s)
57-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0034
167 reference(s)		 58-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0026
167 reference(s)
59-EnsembleDesGaleries.DIAPO.0586
167 reference(s)		 60-EnsembleDesGaleries.DIAPO.0585
167 reference(s)
61-EnsembleDesGaleries.DIAPO.0230
167 reference(s)		 62-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0041
166 reference(s)
63-Galerie_NewPictures.DIAPO.0025
166 reference(s)		 64-EnsembleDesGaleries.DIAPO.0589
166 reference(s)
65-EnsembleDesGaleries.DIAPO.0587
166 reference(s)		 66-EnsembleDesGaleries.DIAPO.0583
166 reference(s)
67-EnsembleDesGaleries.DIAPO.0561
166 reference(s)		 68-EnsembleDesGaleries.DIAPO.0337
166 reference(s)
69-EnsembleDesGaleries.DIAPO.0330
166 reference(s)		 70-EnsembleDesGaleries.DIAPO.0225
166 reference(s)
71-EnsembleDesGaleries.DIAPO.0211
166 reference(s)		 72-EnsembleDesGaleries.DIAPO.0138
166 reference(s)
73-EnsembleDesGaleries.DIAPO.0137
166 reference(s)		 74-Galerie_NewPictures.DIAPO.0023
165 reference(s)
75-Galerie_GeneralitiesVisualization.DIAPO.0043
165 reference(s)		 76-EnsembleDesGaleries.DIAPO.0584
165 reference(s)
77-EnsembleDesGaleries.DIAPO.0328
165 reference(s)		 78-EnsembleDesGaleries.DIAPO.0326
165 reference(s)
79-EnsembleDesGaleries.DIAPO.0325
165 reference(s)		 80-EnsembleDesGaleries.DIAPO.0229
165 reference(s)
81-EnsembleDesGaleries.DIAPO.0224
165 reference(s)		 82-EnsembleDesGaleries.DIAPO.0210
165 reference(s)
83-EnsembleDesGaleries.DIAPO.0139
165 reference(s)		 84-Galerie_NewPictures.DIAPO.0068
164 reference(s)
85-EnsembleDesGaleries.DIAPO.0588
164 reference(s)		 86-EnsembleDesGaleries.DIAPO.0555
164 reference(s)
87-EnsembleDesGaleries.DIAPO.0338
164 reference(s)		 88-EnsembleDesGaleries.DIAPO.0327
164 reference(s)
89-EnsembleDesGaleries.DIAPO.0216
164 reference(s)		 90-EnsembleDesGaleries.DIAPO.0103
164 reference(s)
91-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0040
163 reference(s)		 92-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0036
163 reference(s)
93-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0027
163 reference(s)		 94-Galerie_NewPictures.DIAPO.0071
163 reference(s)
95-EnsembleDesGaleries.DIAPO.0590
163 reference(s)		 96-EnsembleDesGaleries.DIAPO.0563
163 reference(s)
97-EnsembleDesGaleries.DIAPO.0559
163 reference(s)		 98-EnsembleDesGaleries.DIAPO.0451
163 reference(s)
99-EnsembleDesGaleries.DIAPO.0340
163 reference(s)		 100-EnsembleDesGaleries.DIAPO.0146
163 reference(s)
101-EnsembleDesGaleries.DIAPO.0141
163 reference(s)		 102-EnsembleDesGaleries.DIAPO.0133
163 reference(s)
103-EnsembleDesGaleries.DIAPO.0105
163 reference(s)		 104-EnsembleDesGaleries.DIAPO.0102
163 reference(s)
105-EnsembleDesGaleries.DIAPO.0060
163 reference(s)		 106-Galerie_TextureSynthesis.DIAPO.0056
162 reference(s)
107-Galerie_TextureSynthesis.DIAPO.0022
162 reference(s)		 108-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0049
162 reference(s)
109-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0046
162 reference(s)		 110-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0042
162 reference(s)
111-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0030
162 reference(s)		 112-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0024
162 reference(s)
113-Galerie_NewPictures.DIAPO.0066
162 reference(s)		 114-Galerie_NewPictures.DIAPO.0033
162 reference(s)
115-Galerie_GeneralitiesVisualization.DIAPO.0047
162 reference(s)		 116-Galerie_GeneralitiesVisualization.DIAPO.0036
162 reference(s)
117-EnsembleDesGaleries.DIAPO.0594
162 reference(s)		 118-EnsembleDesGaleries.DIAPO.0231
162 reference(s)
119-EnsembleDesGaleries.DIAPO.0134
162 reference(s)		 120-EnsembleDesGaleries.DIAPO.0104
162 reference(s)
121-EnsembleDesGaleries.DIAPO.0101
162 reference(s)		 122-ArtScience.11.Ang.DIAPO.0022
162 reference(s)
123-Galerie_NewPictures.DIAPO.0027
161 reference(s)		 124-Galerie_NewPictures.DIAPO.0020
161 reference(s)
125-Galerie_GeneralitiesVisualization.DIAPO.0018
161 reference(s)		 126-Galerie_ArtisticCreation.DIAPO.0028
161 reference(s)
127-Galerie_ArtisticCreation.DIAPO.0027
161 reference(s)		 128-Galerie_ArtisticCreation.DIAPO.0022
161 reference(s)

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




Copyright © Jean-François COLONNA, 2009-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2009-2023.