Monthly Best Of on 12/28/2009




Iterations in the complex plane

Jean-François COLONNA

www.lactamme.polytechnique.fr

jean-francois.colonna@polytechnique.edu
CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, Ecole Polytechnique, CNRS, 91128 Palaiseau Cedex, France

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Contents of this page:


1-The 128 most referenced Pictures (*):

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



Happy new year 2000
1-1654 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-216 reference(s)		 Hypercube
3-201 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-176 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
5-174 reference(s)		 Autostereogram with an hidden ring and ghost bows
6-153 reference(s)		 Electron-positron scattering
7-150 reference(s)		 Autostereogram with an hidden volcano
8-137 reference(s)
Quark and gluon structure of a nucleon
9-134 reference(s)		 The Lorenz attractor
10-124 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
11-121 reference(s)		 The random walk of photons escaping the Sun
12-117 reference(s)
Autostereogram with an hidden volcano
13-109 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
14-109 reference(s)		 Quark and gluon structure of a nucleon
15-107 reference(s)		 The random walk of photons escaping the Sun
16-99 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
17-96 reference(s)		 Artistic view of the prime numbers
18-85 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
19-84 reference(s)		 Foggy Babel Tower -a tribute to Brueghel the Elder-
20-84 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
21-81 reference(s)		 Paradoxal Monument Valley at sunset
22-78 reference(s)		 2.pi rotation about the Y axis of a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
23-74 reference(s)		 Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
24-68 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
25-68 reference(s)		 Autostereogram with an hidden volcano
26-65 reference(s)		 The Scream -a Tribute to Edvard Munch-
27-63 reference(s)		 Artistic view of the Big Bang
28-62 reference(s)
The Möbius strip
29-62 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
30-59 reference(s)		 A tridimensional Möbius-like manifold defined by means of three tridimensional fields
31-58 reference(s)		 True colors autostereogram of a fractal landscape
32-58 reference(s)
From Pluto to the Sun (non linear scales)
33-58 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
34-57 reference(s)		 Intertwining
35-55 reference(s)		 Autostereogram with an hidden volcano
36-53 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
37-53 reference(s)		 The Jeener's triple Klein bottle
38-53 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
39-53 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
40-52 reference(s)
Happy new year 2000
41-52 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
42-50 reference(s)		 Jean-François Colonna
43-49 reference(s)		 The Birth of the Universe
44-46 reference(s)
Psychedelic hypercube
45-46 reference(s)		 Recursive intertwining
46-45 reference(s)		 Rotation about the X axis of the Lorenz attractor
47-45 reference(s)		 Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
48-44 reference(s)
Periodical earthquake with multifractal mountains
49-44 reference(s)		 Along the border of the Mandelbrot set
50-43 reference(s)		 Botticelli anomaly on the Moon
51-43 reference(s)		 Alien
52-42 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
53-42 reference(s)		 Quantum vacuum fluctuations
54-40 reference(s)		 Autostereogram with an hidden volcano
55-40 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)
56-40 reference(s)
A shell (Jeener surface 1)in motion
57-40 reference(s)		 Animation of a sunrise on mountains
58-39 reference(s)		 A bidimensional fern computed by means of an 'Iterated Function System' -IFS-
59-39 reference(s)		 Snowy multifractal mountains
60-38 reference(s)
The Möbius strip
61-38 reference(s)		 The generalized Ulam spiral displaying 100 numbers
62-37 reference(s)		 Quark and gluon dynamics of the nucleon
63-36 reference(s)		 Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
64-36 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
65-35 reference(s)		 The Eratosthene sieve displaying 100x100 numbers
66-35 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
67-35 reference(s)		 Intertwining based on the geometry of the sphere
68-35 reference(s)
The 5x5=25 patches of the tridimensional representation of a quadridimensional Calabi-Yau manifold
69-35 reference(s)		 Artistic view of a quadridimensional Calabi-Yau manifold
70-35 reference(s)		 32 points on a trigonometric circle
71-34 reference(s)		 Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
72-34 reference(s)
Self-Portrait with intertwining
73-33 reference(s)		 Isotropic random walk of 64 particles on a tridimensional square lattice
74-33 reference(s)		 A fractal surface (five iterations)defined by means of three bidimensional fields
75-33 reference(s)		 The surface of the Moon
76-33 reference(s)
Mountains and light clouds
77-32 reference(s)		 The sum of all '780x575' pictures on 08/30/2009
78-31 reference(s)		 Inside the Gate
79-31 reference(s)		 A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
80-31 reference(s)
Tridimensional heterogeneous fractal structure in a tridimensional torus
81-31 reference(s)		 Snowy Rocky Mountains
82-31 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
83-30 reference(s)		 Synthesis of tridimensional symmetrical geometrical textures
84-30 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
85-30 reference(s)		 The generalized Ulam spiral displaying 1024 numbers
86-30 reference(s)		 Mountains at sunrise
87-30 reference(s)		 An arbitrary surface (Jeener surface 2)
88-30 reference(s)
A quaternionic Julia set -tridimensional cross-section-
89-30 reference(s)		 Happy new year 2000
90-30 reference(s)		 A shell (Jeener surface 1)
91-30 reference(s)		 From the infinitely small to the infinitely big
92-30 reference(s)
Foggy steep island
93-30 reference(s)		 No Title 0072
94-29 reference(s)		 Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
95-29 reference(s)		 A variable Archimedes spiral displaying 1000 numbers
96-29 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
97-29 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
98-29 reference(s)		 Tridimensional fractal structure
99-29 reference(s)		 Synthesis of tridimensional textures by means of a fractal process
100-29 reference(s)
Tridimensional visualization of a bidimensional turbulent flow -sensitivity to initial conditions (the Red one, the Green one and the Blue one)-
101-29 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
102-29 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
103-29 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0]
104-28 reference(s)
The random walk of photons escaping the Sun
105-28 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
106-28 reference(s)		 The normal field of a fractal surface defined by means of three bidimensional fields
107-28 reference(s)		 From Pluto to the Sun -extrapolation 2- (non linear scales)
108-28 reference(s)
A bidimensional Sierpinski 'carpet' computed by means of an 'Iterated Function System' -IFS-
109-28 reference(s)		 Tridimensional visualization of a bidimensional turbulent flow
110-28 reference(s)		 The Klein bottle
111-28 reference(s)		 The self-similarity of the von Koch curve
112-27 reference(s)
Autostereogram of a quaternionic Julia set and fractal phenomenon -tridimensional cross-section-
113-27 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
114-27 reference(s)		 Quaternionic shell
115-27 reference(s)		 The Eratosthene sieve displaying 10x10 numbers
116-27 reference(s)
Circular worm
117-27 reference(s)		 The quaternionic Mandelbrot set -tridimensional cross-section-
118-27 reference(s)		 Artistic view of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0) -a Tribute to José Hernández- -tridimensional cross-section-
119-27 reference(s)		 A fractal landscape
120-27 reference(s)
Intertwining based on the geometry of the Boy surface
121-27 reference(s)		 Along the border of the Mandelbrot set
122-26 reference(s)		 The random walk of photons escaping the Sun
123-26 reference(s)		 An arbitrary geometrical texture
124-26 reference(s)
An Archimedes spiral displaying 1000 numbers
125-26 reference(s)		 Mystery mountain at sunrise
126-26 reference(s)		 A pyramidal Menger sponge computed by means of an 'Iterated Function System' -IFS-
127-26 reference(s)		 Snowy Rocky Mountains
128-26 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
1069 reference(s)		 2-An2000.01.Fra
484 reference(s)
3-AVirtualSpaceTimeTravelMachine.Ang
472 reference(s)		 4-Galerie_TextureSynthesis.FV
348 reference(s)
5-GenieLogiciel_VisualisationScientifique.01.vv
330 reference(s)		 6-help.
326 reference(s)
7-Galerie_GeneralitiesVisualization.FV
323 reference(s)		 8-Fractal.01
308 reference(s)
9-FloatingPointNumbers.01.Fra
302 reference(s)		 10-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
296 reference(s)
11-copyright.01.
295 reference(s)		 12-AQuoiServentLesMathematiques.01
294 reference(s)
13-mail.01.vv
288 reference(s)		 14-AProposSite.01.Fra
280 reference(s)
15-Informations_AboutPicturesAnimationsAndFiles.01.Ang
279 reference(s)		 16-FloatingPointNumbers.01.Ang
279 reference(s)
17-Galerie_ArtisticCreation.FV
276 reference(s)		 18-catalogue.11
268 reference(s)
19-Galerie_ParticleSystems.FV
262 reference(s)		 20-Galerie_DeterministicFractalGeometry.FV
260 reference(s)
21-SurfaceProjector.01.Ang
259 reference(s)		 22-AVirtualSpaceTimeTravelMachine.Fra
258 reference(s)
23-Galerie_CelestialMechanics.FV
252 reference(s)		 24-An2000.05.Fra
250 reference(s)
25-ExpV_VirE.Fra
248 reference(s)		 26-AnimFractal.01.
244 reference(s)
27-Informations_AboutPicturesAnimationsAndFiles.01.Fra
242 reference(s)		 28-ExpV_VirE.11
238 reference(s)
29-present.01.
236 reference(s)		 30-ImagesDuVirtuel.01.Fra
233 reference(s)
31-Galerie_NumberTheory.FV
233 reference(s)		 32-Galerie_ArtAndScience.FV
232 reference(s)
33-RealNumbers.01.Fra
231 reference(s)		 34-ImagesDuVirtuel.01.Fra.FV
230 reference(s)
35-Galerie_NewPictures.DIAPO.0022
225 reference(s)		 36-EnsembleDesGaleries.DIAPO.0064
225 reference(s)
37-EnsembleDesGaleries.DIAPO.0065
224 reference(s)		 38-EnsembleDesGaleries.DIAPO.0072
223 reference(s)
39-EnsembleDesGaleries.DIAPO.0067
223 reference(s)		 40-Galerie_NewPictures.DIAPO.0021
222 reference(s)
41-Galerie_NewPictures.DIAPO.0020
222 reference(s)		 42-EnsembleDesGaleries.DIAPO.0073
222 reference(s)
43-EnsembleDesGaleries.DIAPO.0070
222 reference(s)		 44-EnsembleDesGaleries.DIAPO.0069
222 reference(s)
45-EnsembleDesGaleries.DIAPO.0068
221 reference(s)		 46-Autostereograms.01.
221 reference(s)
47-Galerie_NewPictures.DIAPO.0019
220 reference(s)		 48-EnsembleDesGaleries.DIAPO.0071
220 reference(s)
49-EnsembleDesGaleries.DIAPO.0074
219 reference(s)		 50-Stereogrammes_AutoStereogrammes.01
218 reference(s)
51-EnsembleDesGaleries.DIAPO.0066
218 reference(s)		 52-EnsembleDesGaleries.DIAPO.0075
217 reference(s)
53-GenieLogiciel.01.Fra
215 reference(s)		 54-Galerie_NewPictures.DIAPO.0023
214 reference(s)
55-Galerie_NewPictures.DIAPO.0018
214 reference(s)		 56-EnsembleDesGaleries.DIAPO.0076
214 reference(s)
57-EnsembleDesGaleries.DIAPO.0001
214 reference(s)		 58-Galerie_QuantumMechanics.FV
213 reference(s)
59-SurfaceProjector.01.Fra
211 reference(s)		 60-EnsembleDesGaleries.DIAPO.0077
210 reference(s)
61-EnsembleDesGaleries.DIAPO.0063
210 reference(s)		 62-Galerie_DeterministicChaos.FV
209 reference(s)
63-EnsembleDesGaleries.DIAPO.0022
209 reference(s)		 64-Galerie_NewPictures.DIAPO.0024
207 reference(s)
65-EnsembleDesGaleries.DIAPO.0078
207 reference(s)		 66-EnsembleDesGaleries.DIAPO.0062
207 reference(s)
67-EnsembleDesGaleries.DIAPO.0003
207 reference(s)		 68-Galerie_NewPictures.DIAPO.0026
206 reference(s)
69-Galerie_NewPictures.DIAPO.0017
206 reference(s)		 70-Galerie_NewPictures.DIAPO.0016
206 reference(s)
71-EnsembleDesGaleries.DIAPO.0036
206 reference(s)		 72-Commentaires_NKleinBottle.01
206 reference(s)
73-EnsembleDesGaleries.DIAPO.0061
204 reference(s)		 74-EnsembleDesGaleries.DIAPO.0037
204 reference(s)
75-EnsembleDesGaleries.DIAPO.0035
204 reference(s)		 76-EnsembleDesGaleries.DIAPO.0018
204 reference(s)
77-Galerie_NewPictures.DIAPO.0015
203 reference(s)		 78-EnsembleDesGaleries.DIAPO.0021
203 reference(s)
79-An2000.02.Fra
203 reference(s)		 80-Kepler.02.
202 reference(s)
81-Galerie_NewPictures.DIAPO.0025
202 reference(s)		 82-EnsembleDesGaleries.DIAPO.0642
202 reference(s)
83-EnsembleDesGaleries.DIAPO.0080
202 reference(s)		 84-EnsembleDesGaleries.DIAPO.0043
202 reference(s)
85-EnsembleDesGaleries.DIAPO.0038
202 reference(s)		 86-EnsembleDesGaleries.DIAPO.0027
202 reference(s)
87-Vcatalogue.11
201 reference(s)		 88-EnsembleDesGaleries.DIAPO.0560
201 reference(s)
89-EnsembleDesGaleries.DIAPO.0020
201 reference(s)		 90-EnsembleDesGaleries.DIAPO.0019
201 reference(s)
91-EnsembleDesGaleries.DIAPO.0004
201 reference(s)		 92-Galerie_NewPictures.FV
200 reference(s)
93-EnsembleDesGaleries.DIAPO.0568
200 reference(s)		 94-EnsembleDesGaleries.DIAPO.0365
200 reference(s)
95-EnsembleDesGaleries.DIAPO.0349
200 reference(s)		 96-EnsembleDesGaleries.DIAPO.0079
200 reference(s)
97-EnsembleDesGaleries.DIAPO.0045
200 reference(s)		 98-EnsembleDesGaleries.DIAPO.0023
200 reference(s)
99-EnsembleDesGaleries.DIAPO.0017
200 reference(s)		 100-EnsembleDesGaleries.DIAPO.0007
200 reference(s)
101-EnsembleDesGaleries.DIAPO.0005
200 reference(s)		 102-Galerie_NewPictures.DIAPO.0027
199 reference(s)
103-EnsembleDesGaleries.DIAPO.0558
199 reference(s)		 104-EnsembleDesGaleries.DIAPO.0350
199 reference(s)
105-EnsembleDesGaleries.DIAPO.0047
199 reference(s)		 106-EnsembleDesGaleries.DIAPO.0044
199 reference(s)
107-EnsembleDesGaleries.DIAPO.0025
199 reference(s)		 108-EnsembleDesGaleries.DIAPO.0614
198 reference(s)
109-EnsembleDesGaleries.DIAPO.0572
198 reference(s)		 110-EnsembleDesGaleries.DIAPO.0046
198 reference(s)
111-EnsembleDesGaleries.DIAPO.0024
198 reference(s)		 112-EnsembleDesGaleries.DIAPO.0006
198 reference(s)
113-An2000.11.Fra
198 reference(s)		 114-EnsembleDesGaleries.DIAPO.0640
197 reference(s)
115-EnsembleDesGaleries.DIAPO.0639
197 reference(s)		 116-EnsembleDesGaleries.DIAPO.0638
197 reference(s)
117-EnsembleDesGaleries.DIAPO.0570
197 reference(s)		 118-EnsembleDesGaleries.DIAPO.0567
197 reference(s)
119-EnsembleDesGaleries.DIAPO.0559
197 reference(s)		 120-EnsembleDesGaleries.DIAPO.0081
197 reference(s)
121-EnsembleDesGaleries.DIAPO.0049
197 reference(s)		 122-EnsembleDesGaleries.DIAPO.0048
197 reference(s)
123-EnsembleDesGaleries.DIAPO.0042
197 reference(s)		 124-EnsembleDesGaleries.DIAPO.0039
197 reference(s)
125-EnsembleDesGaleries.DIAPO.0034
197 reference(s)		 126-EnsembleDesGaleries.DIAPO.0028
197 reference(s)
127-EnsembleDesGaleries.DIAPO.0002
197 reference(s)		 128-EnsembleDesGaleries.DIAPO.0571
196 reference(s)

And now, enjoy visiting A Virtual Machine for Exploring Space-Time and Beyond.




Copyright (c) Jean-François Colonna, 2009-2019.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2009-2019.