Monthly Best Of on 09/28/2007




Bidimensional display of the integration of the Lorenz attractor system for 448500 different initial conditions

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
france telecom, France Telecom R&D

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(CMAP28 WWW site: this page was created on 09/28/2007 and last updated on 11/14/2023 17:46:59 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
1-2417 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-1074 reference(s)		 Black dots (inside random white squares)on a square lattice
3-744 reference(s)		 Along the border of the Mandelbrot set
4-560 reference(s)
Hypercube
5-413 reference(s)		 Bidimensional abstract texture with random anthropomorphic patterns
6-385 reference(s)		 The random walk of photons escaping the Sun
7-381 reference(s)		 Bidimensional artistic view of the Verhulst dynamics
8-339 reference(s)
The Birth of the Universe
9-325 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
10-321 reference(s)		 The random walk of photons escaping the Sun
11-309 reference(s)		 The Lorenz attractor
12-284 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
13-281 reference(s)		 Artistic view of the prime numbers
14-279 reference(s)		 Welcome aboard a Virtual Space-Time Travel Machine
15-263 reference(s)		 Quark and gluon structure of a nucleon
16-253 reference(s)
The bottom of the sea
17-228 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
18-214 reference(s)		 Synthesis of tridimensional symmetrical geometrical textures
19-197 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
20-195 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
21-193 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
22-192 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
23-187 reference(s)		 Autostereogram with an hidden volcano
24-177 reference(s)
Quantum vacuum fluctuations
25-168 reference(s)		 From the infinitely small to the infinitely big
26-167 reference(s)		 Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
27-166 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
28-164 reference(s)
Animation of a sunrise on mountains
29-164 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
30-163 reference(s)		 From Pluto to the Sun (non linear scales)
31-163 reference(s)		 Animation of a natural form
32-160 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)
33-158 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
34-158 reference(s)		 Animation of a natural form
35-154 reference(s)		 Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
36-151 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
37-151 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
38-150 reference(s)		 Bidimensional abstract texture with random anthropomorphic patterns
39-149 reference(s)		 Two multiplexed autostereograms by means of a pi/2 rotation
40-147 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
41-142 reference(s)		 Psychedelic hypercube
42-139 reference(s)		 Quark and gluon dynamics of the nucleon
43-137 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
44-137 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)
45-136 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
46-134 reference(s)		 Artistic view of the Big Bang
47-132 reference(s)		 Quark and gluon structure of a nucleon
48-130 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
49-129 reference(s)		 Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
50-126 reference(s)		 Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
51-126 reference(s)		 Cauliflowers, seaweeds, shells,... with fog
52-125 reference(s)
Isotropic random walk of 64 particles on a tridimensional square lattice
53-124 reference(s)		 The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
54-124 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
55-124 reference(s)		 The wall-paper process
56-123 reference(s)
The Scream -a Tribute to Edvard Munch-
57-119 reference(s)		 A Tribute to Archimedes
58-117 reference(s)		 Autostereogram with an hidden volcano
59-116 reference(s)		 Cracks
60-115 reference(s)
The generalized Ulam spiral displaying 100 numbers
61-113 reference(s)		 Rotation about the X axis of the Lorenz attractor
62-113 reference(s)		 Fractal diffusion front in a bidimensional medium obtained by means of a random walk process
63-113 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
64-113 reference(s)
The Möbius strip
65-111 reference(s)		 24 evenly distributed points on a sphere by means of simulated annealing
66-109 reference(s)		 Mountains and light cloud dynamics -this sequence being periodical-
67-108 reference(s)		 From Pluto to the Sun -extrapolation 2- (non linear scales)
68-108 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
69-105 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
70-104 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
71-103 reference(s)		 Artistic view of a quadridimensional Calabi-Yau manifold
72-102 reference(s)
Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
73-102 reference(s)		 The random walk of photons escaping the Sun
74-101 reference(s)		 A shell (Jeener surface 1)in motion
75-101 reference(s)		 World Mathematical Year 2000
76-99 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
77-98 reference(s)		 The random walk of photons escaping the Sun
78-97 reference(s)		 The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
79-97 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
80-97 reference(s)
Rotation about X and Y axes of the Boy surface
81-94 reference(s)		 Non euclidian distance
82-94 reference(s)		 Autostereogram with an hidden volcano and an animated disguise texture
83-93 reference(s)		 The bidimensional field defining the three coordinates of a fractal surface
84-93 reference(s)
An Archimedes spiral displaying 1000 numbers
85-93 reference(s)		 The erection of the Babel Tower
86-93 reference(s)		 Intertwining based on the geometry of the sphere
87-93 reference(s)		 The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
88-92 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
89-92 reference(s)		 Botticelli anomaly on the Moon
90-90 reference(s)		 2 identical grey squares moving over a grey scale
91-90 reference(s)		 Black and white display of a tridimensional function
92-90 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
93-89 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -gravity center of the 9 planets point of view-
94-89 reference(s)		 N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)-sensitivity to initial conditions-
95-89 reference(s)		 Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
96-89 reference(s)
Zoom in on light clouds
97-89 reference(s)		 The normal field of a shell (Jeener surface 1)
98-89 reference(s)		 The numerical irreversibility of the bidimensional billiard
99-88 reference(s)		 Bidimensional domino effect
100-88 reference(s)
Alien
101-88 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
102-88 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-
103-88 reference(s)		 Texture animation by means of Fourier filtering of a random walk process
104-87 reference(s)
Animation of bidimensional symmetrical geometrical textures
105-87 reference(s)		 The non linear transformation of the coordinates in the Solar System
106-87 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
107-87 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
108-86 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
109-86 reference(s)		 Artistic view of the tridimensional integration of the phase rotation of the wavelet transform of a bidimensional fractal field
110-86 reference(s)		 Quantum vacuum fluctuation dynamics
111-85 reference(s)		 From Pluto to the Sun -extrapolation 1- (non linear scales)
112-85 reference(s)
N-body problem integration (N=4)with one yellow star and two planets (the red one being very heavy and the blue one and its white satellite being light)
113-85 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
114-85 reference(s)		 Archimedes spirals
115-85 reference(s)		 Golden ring
116-84 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
117-84 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
118-84 reference(s)		 An interpolation between the Möbius strip and a 'double sphere' defined by means of three sets of bidimensional fields
119-84 reference(s)		 The Eratosthene sieve displaying 100x100 numbers
120-84 reference(s)
Voronoi diagrams
121-83 reference(s)		 Autostereogram with an hidden ring and ghost bows
122-83 reference(s)		 Particle collisions without energy loss in a tridimensional space with display of the velocity histogram
123-83 reference(s)		 Self-transformation of the bidimensional field defining the three coordinates of the fractal interpolation between a 'double sphere' and the Bonan-Jeener-Klein triple bottle
124-83 reference(s)
N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation
125-83 reference(s)		 Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
126-83 reference(s)		 Mountains at sunrise
127-82 reference(s)		 Texture animation by means of Fourier interpolation
128-82 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
1800 reference(s)		 2-AVirtualSpaceTimeTravelMachine.Ang
971 reference(s)
3-An2000.01.Fra
896 reference(s)		 4-help.
560 reference(s)
5-Galerie_GeneralitiesVisualization.FV
364 reference(s)		 6-copyright.01.
358 reference(s)
7-Stereogrammes_AutoStereogrammes.01
356 reference(s)		 8-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
355 reference(s)
9-ImagesDuVirtuel.01.Fra
349 reference(s)		 10-Autostereograms.01.
338 reference(s)
11-FloatingPointNumbers.01.Fra
336 reference(s)		 12-AVirtualSpaceTimeTravelMachine.Fra
329 reference(s)
13-Informations_AboutPicturesAnimationsAndFiles.01.Ang
327 reference(s)		 14-Galerie_NumberTheory.FV
318 reference(s)
15-Galerie_ArtisticCreation.FV
314 reference(s)		 16-Fractal.01
310 reference(s)
17-ExpV_VirE.11
295 reference(s)		 18-FloatingPointNumbers.01.Ang
291 reference(s)
19-AQuoiServentLesMathematiques.01
278 reference(s)		 20-GenieLogiciel.01.Fra
275 reference(s)
21-mail.01.vv
272 reference(s)		 22-ImagesDuVirtuel.01.Fra.FV
271 reference(s)
23-Galerie_TextureSynthesis.FV
262 reference(s)		 24-Galerie_ArtAndScience.FV
261 reference(s)
25-ExpV_VirE.21
261 reference(s)		 26-AProposSite.01.Fra
259 reference(s)
27-Galerie_ParticleSystems.FV
254 reference(s)		 28-Galerie_DeterministicFractalGeometry.FV
253 reference(s)
29-Galerie_QuantumMechanics.FV
247 reference(s)		 30-RealNumbers.01.Fra
245 reference(s)
31-SurfaceProjector.01.Ang
243 reference(s)		 32-present.01.
234 reference(s)
33-Galerie_DeterministicChaos.FV
230 reference(s)		 34-AnimFractal.01.
229 reference(s)
35-AVirtualSpaceTimeTravelMachine.Fra.FV
224 reference(s)		 36-Commentaires_NKleinBottle.01
218 reference(s)
37-ExpV_VirE.Ang
217 reference(s)		 38-demo_14.FV
215 reference(s)
39-MathematiquesPhysiqueFractales.01
214 reference(s)		 40-AvantPropos.01.Ang
213 reference(s)
41-Informations_AboutPicturesAnimationsAndFiles.01.Fra
211 reference(s)		 42-Galerie_CelestialMechanics.FV
211 reference(s)
43-ExpV_VirE.Fra
211 reference(s)		 44-Commentaires_DefinitionQuaternions.01
211 reference(s)
45-SurfaceProjector.01.Fra
210 reference(s)		 46-Galerie_NewPictures.FV
201 reference(s)
47-VisSci_SciVis.01
198 reference(s)		 48-ExpV_VirE.01.Fra
198 reference(s)
49-LOG_xiMc.11
196 reference(s)		 50-create.03.
195 reference(s)
51-EnsembleDesGaleries.DIAPO.0001
194 reference(s)		 52-Galerie_SignalProcessing.FV
192 reference(s)
53-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
192 reference(s)		 54-An2000.02.Fra
191 reference(s)
55-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
188 reference(s)		 56-ArtScience.11.Fra
188 reference(s)
57-DuModeleALImage.01.Fra
185 reference(s)		 58-An2000.05.Fra
178 reference(s)
59-AVirtualSpaceTimeTravelMachine.Ang.FV
177 reference(s)		 60-Galerie_DeterministicChaos
176 reference(s)
61-Kepler.02.
174 reference(s)		 62-Commentaires_SystemeSolaire.01
174 reference(s)
63-Commentaires_DefinitionTransformeeDeFourier.01
174 reference(s)		 64-Galerie_NewPictures
173 reference(s)
65-subject.01.
172 reference(s)		 66-MonumentValley.01.Fra
169 reference(s)
67-MonumentValley.01.Ang
169 reference(s)		 68-Galerie_QuantumMechanics
169 reference(s)
69-infinity.01.vv
168 reference(s)		 70-VirtualChaos.01.Fra
168 reference(s)
71-Commentaires_SurfaceDeBoy.01
167 reference(s)		 72-Commentaires_DefinitionComplexes.01
167 reference(s)
73-DuReelAuVirtuel.01.Fra
165 reference(s)		 74-Vcatalogue.11
164 reference(s)
75-RemarquesCerveau.01
164 reference(s)		 76-ManyChaos.01.Fra
164 reference(s)
77-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
164 reference(s)		 78-ExpV_VirE.01.Ang
164 reference(s)
79-Commentaires_EnsembleMandelbrotComplexe.01
164 reference(s)		 80-Galerie_Astrophysics
163 reference(s)
81-An2000.11.Fra
163 reference(s)		 82-Galerie_SalonDAutomne.FV
162 reference(s)
83-Galerie_CelestialMechanics
162 reference(s)		 84-relativity.01.
161 reference(s)
85-catalogue.11
161 reference(s)		 86-Galeries.01.vv
161 reference(s)
87-Galerie_BestOf.FV
161 reference(s)		 88-Galerie_Astrophysics.FV
161 reference(s)
89-Galerie_FluidMechanics.FV
160 reference(s)		 90-AQuoiServentLesMathematiques.03
160 reference(s)
91-Informations_GoodNewsAndBadNews.01.Fra
159 reference(s)		 92-Galerie_NewPictures.DIAPO.0001
158 reference(s)
93-Galerie_BestOf.DIAPO.0001
158 reference(s)		 94-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
158 reference(s)
95-Galerie_GeneralitiesVisualization
157 reference(s)		 96-An2000.04.Fra
157 reference(s)
97-Commentaires_KleinBottle.01
156 reference(s)		 98-An2000.06.Fra
156 reference(s)
99-An2000.01.Ang
156 reference(s)		 100-Commentaires_RacinesNIemesUniteComplexes.01
155 reference(s)
101-Galerie_FluidMechanics
154 reference(s)		 102-Galerie_ArtAndScience
153 reference(s)
103-Galerie_AnthropomorphicPatterns.FV
153 reference(s)		 104-Commentaires_EspaceLyapunovComplexe.01
153 reference(s)
105-Galerie_SensitivityToRoundingOffErrors.FV
152 reference(s)		 106-Commentaires_StructuresVivantesRecursives.01
151 reference(s)
107-Spheres.01
150 reference(s)		 108-Galerie_ParticleSystems
149 reference(s)
109-real.01.vv.
148 reference(s)		 110-infinity.01.vv.DIAPO.0001
148 reference(s)
111-Galerie_TextureSynthesis
148 reference(s)		 112-Galerie_QuantumMechanics.DIAPO.0001
148 reference(s)
113-stereogra.01.c.
147 reference(s)		 114-ArtScience.01
147 reference(s)
115-An2000.03.Fra
147 reference(s)		 116-Commentaires_RacinesTroisiemesUniteComplexes.01
146 reference(s)
117-Commentaires_JeenerMobiusManifold.01
146 reference(s)		 118-Galerie_NumberTheory.DIAPO.0001
145 reference(s)
119-Galerie_Astrophysics.DIAPO.0001
145 reference(s)		 120-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
145 reference(s)
121-Commentaires_ProblemeDesNAimants.01
144 reference(s)		 122-ArtScience.11.Ang
144 reference(s)
123-ScienceEtVirtuel.01.Fra
143 reference(s)		 124-PerteDeLAssociativite.01
143 reference(s)
125-MathematiquesPhysiqueInformatiqueImages.01.Fra
143 reference(s)		 126-Galerie_CollaborativeWorks..FV
143 reference(s)
127-LumiereVirtuelleParadoxale.01
142 reference(s)		 128-Galerie_ArtAndScience.DIAPO.0001
142 reference(s)

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




Copyright © Jean-François COLONNA, 2007-2023.
Copyright © France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2007-2023.