Monthly Best Of on 04/24/2001




Bidimensional brownian motion with three different distribution laws regarding the radial coordinate -60 points starting from the white point at the picture center-

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 04/24/2001 and last updated on 11/14/2023 17:46:33 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Welcome aboard A VIRTUAL SPACE-TIME TRAVEL MACHINE
1-1516 reference(s)		 Jean-François COLONNA
2-1096 reference(s)		 Artistic view of the prime numbers
3-695 reference(s)		 The 16 most referenced pictures on 01/30/1996
4-541 reference(s)
Tridimensional domino effect
5-481 reference(s)		 Quark and gluon structure of a nucleon
6-479 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
7-452 reference(s)		 Quark and gluon dynamics of the nucleon
8-438 reference(s)
The Birth of the Universe
9-394 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)
10-367 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
11-359 reference(s)		 Cauliflowers, seaweeds, shells,... with fog
12-337 reference(s)
Mountains at sunrise
13-320 reference(s)		 Artistic view of the Big Bang
14-284 reference(s)		 The Lorenz attractor
15-275 reference(s)		 Beyond the Gate
16-274 reference(s)
Synthesis of bidimensional geometrical textures
17-273 reference(s)		 Tridimensional domino effect
18-265 reference(s)		 Zoom in on the von Koch curve
19-262 reference(s)		 From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
20-253 reference(s)
The bidimensional Ising Model with 2-state spins, temperature=0.2, a non-isotropic kernel and random initial conditions
21-253 reference(s)		 From the infinitely small to the infinitely big
22-251 reference(s)		 From Pluto to the Sun (non linear scales)
23-234 reference(s)		 A shell (Jeener surface 1)in motion
24-231 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
25-228 reference(s)		 Expansion of a gas inside a bidimensional rectangular box with display of velocity histograms
26-223 reference(s)		 Animation of a sunrise on mountains
27-222 reference(s)		 Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
28-218 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)
29-211 reference(s)		 Alien
30-206 reference(s)		 Triple impossible staircase
31-204 reference(s)		 Artistic view of Ph(Zeta)
32-196 reference(s)
The three pendulums and three magnets problem computed on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
33-192 reference(s)		 Zoom in on the von Koch curve
34-189 reference(s)		 Tridimensional zoom in on the Mandelbrot set
35-189 reference(s)		 Flames
36-184 reference(s)
The erection of the Babel Tower
37-182 reference(s)		 Tridimensional display of cross-sections inside a tridimensional fractal aggregate
38-181 reference(s)		 CMAP
39-180 reference(s)		 The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
40-178 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
41-177 reference(s)		 Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
42-177 reference(s)		 The Mandelbrot set computed for 1 to 16 iterations with display of the arguments
43-174 reference(s)		 The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
44-174 reference(s)
Texture animation by means of the generalized Fourier filtering process
45-171 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
46-170 reference(s)		 2 identical grey squares moving over a grey scale
47-170 reference(s)		 Botticelli anomaly on the Moon
48-169 reference(s)
Alien spacecrafts on the Moon
49-169 reference(s)		 Animation of a quaternionic Julia island
50-168 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
51-167 reference(s)		 2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
52-166 reference(s)
Rotation about the Y axis of the Boy surface with motion blur
53-165 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)
54-165 reference(s)		 Tridimensional visualization of a bidimensional turbulent flow
55-165 reference(s)		 Translation along the fourth axis of a quaternionic Julia set -tridimensional cross-sections-
56-164 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
57-163 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
58-162 reference(s)		 N-body problem integration (N=2)displaying a perfect Keplerian orbit
59-162 reference(s)		 The bidimensional Ising Model with 2-state spins, temperature=0.2, a non-isotropic kernel and regular initial conditions (a chessboard)
60-162 reference(s)
Real numbers do not exist for a computer
61-160 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
62-160 reference(s)		 A twisting rope
63-159 reference(s)		 The bidimensional Ising Model with 2-state spins, a centred gaussian temperature field (minimum=0.035,maximum=0.6)and regular initial conditions (a chessboard)
64-159 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)-sensitivity to initial conditions-
65-158 reference(s)		 An Archimedes spiral displaying 1000 numbers
66-153 reference(s)		 Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
67-153 reference(s)		 The 16 most referenced pictures on 07/26/1996
68-153 reference(s)
Bidimensional visualization of a bidimensional turbulent flow -sensitivity to initial conditions-
69-152 reference(s)		 16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
70-150 reference(s)		 Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
71-149 reference(s)		 Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
72-147 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
73-146 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
74-142 reference(s)		 Self-similar zoom in on tridimensional fractal structure
75-142 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)
76-141 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (tridimensional computation)
77-138 reference(s)		 The tower -a Tribute to Vladimir Tatline-
78-137 reference(s)		 Autostereogram with an hidden volcano and an animated disguise texture
79-136 reference(s)		 Carnival in motion
80-136 reference(s)
Electron-positron scattering
81-136 reference(s)		 Isotropic random walk of 64 particles on a bidimensional square lattice
82-135 reference(s)		 The Eratosthene sieve displaying 10x10 numbers
83-135 reference(s)		 More and more craters on the Moon
84-134 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)
85-134 reference(s)		 Tridimensional display of cross-sections inside a tridimensional fractal aggregate (bird's-eye view)
86-133 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
87-133 reference(s)		 Earthquake (bird's-eye view)
88-132 reference(s)
A variable Archimedes spiral displaying 1000 numbers
89-131 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
90-131 reference(s)		 Electron diffraction
91-131 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
92-129 reference(s)
The velocity vectors -with a common origin- of the 9 planets of the Solar System during one plutonian year
93-129 reference(s)		 N-body problem integration (N=3)with one yellow star and two planets (the red one being very heavy and the blue one being light)
94-129 reference(s)		 Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
95-128 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
96-128 reference(s)
Zoom in on mountains (with 3D clipping, bird's-eye view)
97-128 reference(s)		 Tridimensional visualization of a bidimensional turbulent flow
98-128 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
99-127 reference(s)		 Black and white display of a tridimensional function
100-126 reference(s)
Untitled 0017
101-125 reference(s)		 Zoom in on a quaternionic Julia set -tridimensional cross-sections-
102-125 reference(s)		 Texture animation by means of Fourier interpolation
103-125 reference(s)		 Liquid Jean-Francois COLONNA
104-124 reference(s)
The Gate
105-123 reference(s)		 Along the border of the Mandelbrot set
106-122 reference(s)		 The random walk of photons escaping the Sun
107-121 reference(s)		 The Eratosthene sieve displaying 100x100 numbers
108-121 reference(s)
Light cloud dynamics -this sequence being periodical-
109-120 reference(s)		 Mandelbrot set in the sky
110-120 reference(s)		 Rotation about the X axis of the Lorenz attractor (1000 iterations), computed simultaneously on two different computers
111-119 reference(s)		 Artistic view of a 2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
112-119 reference(s)
Waltzing snowy Rocky Mountains
113-119 reference(s)		 16 complex Julia sets along the border of the Mandelbrot set with display of the arguments
114-118 reference(s)		 Brownian motion of a few heavy slow particles inside a gaz of fast light particles
115-117 reference(s)		 Bidimensional zoom in on the Verhulst dynamics
116-117 reference(s)
The generalized Ulam spiral displaying 100 numbers
117-116 reference(s)		 Quaternionic UFO
118-116 reference(s)		 16 complex Julia sets
119-116 reference(s)		 Impossible structure
120-116 reference(s)
Fractal diffusion front in a bidimensional medium obtained by means of identical interacting particles
121-114 reference(s)		 16 earth-like planets initially on the same keplerian trajectory
122-114 reference(s)		 The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
123-113 reference(s)		 The eye of God -an artistic view of the Solar System-
124-113 reference(s)
Tridimensional display of one of the eigenstates (n=8,l=6)of the Hydrogen atom
125-113 reference(s)		 Zoom in on self-similar light clouds
126-113 reference(s)		 Synthesis of tridimensional textures
127-113 reference(s)		 Artistic view of the trajectories of bidimensional fractal aggregates obtained by means of pasting during collisions of particles submitted to an attractive central field of gravity
128-112 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
12417 reference(s)		 2-AVirtualSpaceTimeTravelMachine.Ang
5818 reference(s)
3-An2000.01.Fra
3702 reference(s)		 4-Galerie_ArtAndScience.FV
1376 reference(s)
5-Galerie_ArtisticCreation.FV
804 reference(s)		 6-ImagesDuVirtuel.01.Fra
780 reference(s)
7-Galerie_CelestialMechanics.FV
629 reference(s)		 8-Galerie_BestOf.FV
610 reference(s)
9-Galerie_Astrophysics.FV
603 reference(s)		 10-help.
597 reference(s)
11-display
577 reference(s)		 12-present.01.
524 reference(s)
13-Galerie_DeterministicChaos.FV
469 reference(s)		 14-Galerie_QuantumMechanics.FV
457 reference(s)
15-ExpV_VirE.Fra
451 reference(s)		 16-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
442 reference(s)
17-Galerie_NewPictures.FV
422 reference(s)		 18-Galerie_FluidMechanics.FV
417 reference(s)
19-Galerie_DeterministicFractalGeometry.FV
415 reference(s)		 20-Galerie_NumberTheory.FV
383 reference(s)
21-GenieLogiciel.01.Fra
382 reference(s)		 22-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
378 reference(s)
23-Galerie_GeneralitiesVisualization.FV
371 reference(s)		 24-copyright.01.
349 reference(s)
25-demo_14.FV
330 reference(s)		 26-Galerie_TextureSynthesis.FV
298 reference(s)
27-ImagesDuVirtuel.01.Fra.FV
294 reference(s)		 28-BEST.20010125
269 reference(s)
29-AVirtualSpaceTimeTravelMachine.Fra
258 reference(s)		 30-Galerie_SignalProcessing.FV
256 reference(s)
31-Galerie_SensitivityToRoundingOffErrors.FV
233 reference(s)		 32-AQuoiServentLesMathematiques.01
222 reference(s)
33-Fractal.01
211 reference(s)		 34-mail.01.vv
210 reference(s)
35-Galerie_SalonDAutomne.FV
195 reference(s)		 36-An2000.02.Fra
187 reference(s)
37-avirtualspacetimetravelmachine.ang
183 reference(s)		 38-create.03.
178 reference(s)
39-AProposSite.01.Fra
170 reference(s)		 40-RealNumbers.01.Fra
161 reference(s)
41-Autostereograms.01.
149 reference(s)		 42-VisSci_SciVis.01
143 reference(s)
43-hydrogene.61.K.
142 reference(s)		 44-AnimFractal.01.
138 reference(s)
45-An2000.01.Ang
138 reference(s)		 46-BEST.20000323
127 reference(s)
47-catalogue.11
126 reference(s)		 48-RemarquesCerveau.01
122 reference(s)
49-An2000.05.Fra
121 reference(s)		 50-stereogra.01.c.
116 reference(s)
51-ExpV_VirE.Ang
115 reference(s)		 52-Galerie_DeterministicChaos
113 reference(s)
53-An2000.06.Fra
104 reference(s)		 54-MonumentValley.01.Ang
99 reference(s)
55-subject.01.
98 reference(s)		 56-BEST.20000403
98 reference(s)
57-Vcatalogue.11
96 reference(s)		 58-ExpV_VirE.01.Fra
95 reference(s)
59-Informations_GoodNewsAndBadNews.01.Ang
94 reference(s)		 60-BEST.20000717
93 reference(s)
61-BEST.20001205
91 reference(s)		 62-LOG_xiMc.11
89 reference(s)
63-ArtScience.01
87 reference(s)		 64-BEST.20000905
86 reference(s)
65-An2000.04.Fra
85 reference(s)		 66-DuReelAuVirtuel.01.Fra
84 reference(s)
67-Commentaires_EnsembleMandelbrotComplexe.01
84 reference(s)		 68-Commentaires_DefinitionQuaternions.01
84 reference(s)
69-Ariane501.01.Fra
83 reference(s)		 70-BEST.20000517
80 reference(s)
71-MonumentValley.01.Fra
79 reference(s)		 72-Commentaires_DefinitionTransformeeDeFourier.01
79 reference(s)
73-ManyChaos.01.Ang
78 reference(s)		 74-Informations_AboutAnimationAndFiles.01.Ang
78 reference(s)
75-Kepler.02.
77 reference(s)		 76-Commentaires_DefinitionComplexes.01
77 reference(s)
77-JFC
76 reference(s)		 78-Galerie_CelestialMechanics
75 reference(s)
79-Galerie_SensitivityToRoundingOffErrors
74 reference(s)		 80-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
73 reference(s)
81-Commentaires_ProblemeDesNCorps.01
73 reference(s)		 82-PatrimoineHumanite.02.Fra
68 reference(s)
83-BEST.20001024
68 reference(s)		 84-Galerie_DeterministicFractalGeometry
66 reference(s)
85-Commentaires_ProblemeDesNAimants.01
65 reference(s)		 86-AvantPropos.01.Ang
65 reference(s)
87-An2000.03.Fra
65 reference(s)		 88-ImpossibleStructures.01.Ang
63 reference(s)
89-PourLaScience.01.Fra
62 reference(s)		 90-Commentaires_SystemeSolaire.01
60 reference(s)
91-ArtOrdinateur.01
60 reference(s)		 92-ExpV_VirE.01.Ang
59 reference(s)
93-Commentaires_FluideInstationnaireBidimensionnelIdeal.01
59 reference(s)		 94-An2000.11.Fra
58 reference(s)
95-infinity.01.vv
57 reference(s)		 96-relativity.01.
56 reference(s)
97-ManyChaos.01.Fra
56 reference(s)		 98-Commentaires_EnsembleJuliaComplexe.01
56 reference(s)
99-nCube.21.I.
54 reference(s)		 100-jfc
54 reference(s)
101-Commentaires_ModeleIsingTriDimensionnel.01
54 reference(s)		 102-demo_14..m4.
53 reference(s)
103-an2000.01.fra
53 reference(s)		 104-Commentaires_NKleinBottle.01
52 reference(s)
105-VisitesGaleriesEnfouies.01
51 reference(s)		 106-Galerie_GeneralitiesVisualization
51 reference(s)
107-Galerie_ArtisticCreation
50 reference(s)		 108-LumiereVirtuelleParadoxale.01
48 reference(s)
109-Galerie_ArtAndScience
48 reference(s)		 110-Commentaires_ModeleIsingBiDimensionnel.01
48 reference(s)
111-demo_14.FV..m4.
46 reference(s)		 112-Commentaires_RacineTroisiemeUniteComplexe.01
46 reference(s)
113-real.01.vv.
45 reference(s)		 114-Spheres.01
45 reference(s)
115-IllusionConnaissance.01
45 reference(s)		 116-Commentaires_EnsembleJuliaQuaternion.01
45 reference(s)
117-catalogue.11..m4.
44 reference(s)		 118-GenieLogiciel.01.Ang
44 reference(s)
119-nCube.22.c.
43 reference(s)		 120-PresidentRepublique.01.Fra
43 reference(s)
121-InformatiqueProfessionnelle.01.Fra
42 reference(s)		 122-Commentaires_EnsembleMandelbrotQuaternion.01
42 reference(s)
123-AVirtualSpaceTimeTravelMachine.Ang.FV
42 reference(s)		 124-T_DuReelAuVirtuel_recherche.01.Fra.0011
39 reference(s)
125-T_DuReelAuVirtuel_recherche.01.Fra.0009
38 reference(s)		 126-T_DuReelAuVirtuel_recherche.01.Fra.0006
38 reference(s)
127-T_DuReelAuVirtuel_ExpReelle.01.Fra.0002
38 reference(s)		 128-ImpossibleStructures.01.Fra
38 reference(s)

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




Copyright © Jean-François COLONNA, 2001-2023.
Copyright © France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2001-2023.