Monthly Best Of on 08/28/2002




The continuity

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
france telecom, France Telecom R&D

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[Please, visit A Virtual Machine for Exploring Space-Time and Beyond, the place where you can find more than 10.000 pictures and animations between Art and Science]
(CMAP28 WWW site: this page was created on 08/28/2002 and last updated on 10/03/2024 17:01:07 -CEST-)




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
1-1391 reference(s)		Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability -display of the Oxygen density-
2-799 reference(s)		Artistic view of the prime numbers
3-687 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
4-682 reference(s)
Synthesis of bidimensional geometrical textures
5-658 reference(s)		Quark and gluon structure of a nucleon
6-537 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
7-488 reference(s)		The Birth of the Universe
8-427 reference(s)
The foggy Earth planet
9-396 reference(s)		From Pluto to the Sun (non linear scales)
10-367 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)
11-360 reference(s)		Quark and gluon dynamics of the nucleon
12-359 reference(s)
Rattle snake
13-343 reference(s)		Tridimensional display of the integration of the Lorenz attractor system for 448500 different initial conditions (bird's-eye view)
14-325 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
15-320 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
16-318 reference(s)
Electron-positron scattering
17-309 reference(s)		The Lorenz attractor
18-297 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
19-297 reference(s)		The foggy Earth 'anti-planet'
20-283 reference(s)
The generalized Ulam spiral displaying 100 numbers
21-277 reference(s)		Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
22-265 reference(s)		Artistic view of the Big Bang
23-262 reference(s)		16 earth-like planets initially on the same keplerian trajectory
24-262 reference(s)
Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability -display of the Oxygen density-
25-254 reference(s)		Animation of a sunrise on mountains
26-253 reference(s)		Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
27-250 reference(s)		Foggy steep cliffs
28-241 reference(s)
Cauliflowers, seaweeds, shells,... with fog
29-238 reference(s)		Mountains at sunrise
30-232 reference(s)		Cracks
31-230 reference(s)		Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
32-218 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
33-210 reference(s)		Triple impossible staircase
34-204 reference(s)		Alien
35-187 reference(s)		The Eratosthene sieve displaying 10x10 numbers
36-183 reference(s)
Untitled 0036
37-179 reference(s)		Untitled 0034
38-178 reference(s)		Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
39-178 reference(s)		Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
40-177 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
41-175 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)
42-174 reference(s)		Very naive view (solar system-like)of the Hydrogen atom
43-173 reference(s)		N-body problem integration (N=2)displaying a perfect Keplerian orbit
44-170 reference(s)
The Möbius strip
45-170 reference(s)		An Archimedes spiral displaying 1000 numbers
46-168 reference(s)		Starship and black hole
47-164 reference(s)		Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
48-160 reference(s)
Alien spacecrafts on the Moon
49-159 reference(s)		Electron diffraction
50-159 reference(s)		Electron-neutrino scattering
51-159 reference(s)		Rotation about the X axis of the Lorenz attractor
52-158 reference(s)
A shell (Jeener surface 1)in motion
53-158 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
54-157 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
55-157 reference(s)		Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability -display of the Oxygen density-
56-155 reference(s)
Tridimensional zoom in on the Mandelbrot set
57-154 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
58-153 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
59-149 reference(s)		Zoom in on the von Koch curve
60-148 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
61-147 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
62-146 reference(s)		The Eratosthene sieve displaying 100x100 numbers
63-145 reference(s)		The generalized Ulam spiral displaying 1024 numbers
64-143 reference(s)
The erection of the Babel Tower
65-141 reference(s)		The random walk of photons escaping the Sun
66-140 reference(s)		An Archimedes spiral displaying 100 numbers
67-139 reference(s)		Mountains and light cloud dynamics -this sequence being periodical-
68-139 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)
69-139 reference(s)		Tridimensional display of 36 eigenstates of the Hydrogen atom (tridimensional computation)
70-138 reference(s)		Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability -display of the Oxygen density-
71-138 reference(s)		The Jeener's quadruple bilateral bottle
72-137 reference(s)
Translation along the fourth axis of a quaternionic Julia set -tridimensional cross-sections-
73-136 reference(s)		Psychedelic hypercube
74-136 reference(s)		Texture animation by means of the generalized Fourier filtering process
75-135 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)
76-133 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
77-133 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
78-131 reference(s)		Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
79-131 reference(s)		The iterative process used to generate bidimensional fractal fields (16 iterations)
80-131 reference(s)
Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
81-130 reference(s)		The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
82-129 reference(s)		Botticelli anomaly on the Moon
83-128 reference(s)		Zoom in on mountains (with 3D clipping, bird's-eye view)
84-126 reference(s)
Carnival in motion
85-125 reference(s)		The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
86-125 reference(s)		Tridimensional visualization of a bidimensional turbulent flow
87-124 reference(s)		The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
88-123 reference(s)
Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
89-122 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)
90-121 reference(s)		Hypercube
91-121 reference(s)		Reconstruction of a 2D structure -the map of France-
92-118 reference(s)
Artistic view of Ph(Zeta)
93-117 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
94-116 reference(s)		N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation
95-115 reference(s)		Rotation about the Y axis of the Boy surface with motion blur
96-113 reference(s)
A variable Archimedes spiral displaying 1000 numbers
97-113 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
98-109 reference(s)		The Gate
99-109 reference(s)		Zoom in on the von Koch curve
100-108 reference(s)
A twisting rope
101-108 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
102-108 reference(s)		More and more craters on the Moon
103-107 reference(s)		Artistic view of the Hydrogen atom
104-107 reference(s)
16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
105-106 reference(s)		Bidimensional zoom in on the Z=Zeta(Z)iteration with display of the arguments
106-105 reference(s)		Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability -display of the Oxygen density-
107-105 reference(s)		The first two iterations of the construction of the von Koch curve
108-104 reference(s)
Morning sun pool
109-104 reference(s)		The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
110-103 reference(s)		2 identical grey squares moving over a grey scale
111-103 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
112-101 reference(s)
The numerical irreversibility of the bidimensional billiard
113-101 reference(s)		Mandelbrot set in the sky
114-100 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
115-100 reference(s)		Impossible structure
116-100 reference(s)
The eye of God -an artistic view of the Solar System-
117-99 reference(s)		N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)-sensitivity to initial conditions-
118-99 reference(s)		display of the inclination of two elliptic trajectories
119-99 reference(s)		Artistic view of a nucleon
120-99 reference(s)
Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability -display of the Oxygen density-
121-98 reference(s)		The generalized Ulam spiral
122-96 reference(s)		La Génèse (1974)
123-96 reference(s)		Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
124-95 reference(s)
The Klein bottle in motion
125-95 reference(s)		Synthesis of bidimensional geometrical textures
126-94 reference(s)		Brownian motion of a few heavy slow particles inside a gaz of fast light particles
127-94 reference(s)		The same bidimensional scalar field displayed with 4 different color palettes
128-94 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
7004 reference(s)		2-An2000.01.Fra
1934 reference(s)
3-AVirtualSpaceTimeTravelMachine.Ang
1718 reference(s)		4-BEST.20000323
547 reference(s)
5-help.
455 reference(s)		6-AVirtualSpaceTimeTravelMachine.Fra
410 reference(s)
7-copyright.01.
360 reference(s)		8-present.01.
328 reference(s)
9-Informations_AboutPicturesAnimationsAndFiles.01.Ang
321 reference(s)		10-Galerie_ArtisticCreation.FV
311 reference(s)
11-demo_14.FV
281 reference(s)		12-An2000.02.Fra
276 reference(s)
13-GenieLogiciel.01.Fra
270 reference(s)		14-mail.01.vv
257 reference(s)
15-ImagesDuVirtuel.01.Fra
236 reference(s)		16-ExpV_VirE.Fra
235 reference(s)
17-AvantPropos.01.Ang
229 reference(s)		18-BEST.20000403
222 reference(s)
19-Galerie_TextureSynthesis.FV
208 reference(s)		20-BEST.20020515
206 reference(s)
21-Fractal.01
200 reference(s)		22-AProposSite.01.Fra
200 reference(s)
23-Informations_GoodNewsAndBadNews.01.Ang
196 reference(s)		24-Galerie_CelestialMechanics
196 reference(s)
25-BEST.20000517
196 reference(s)		26-Commentaires_DefinitionComplexes.01
191 reference(s)
27-subject.01.
188 reference(s)		28-An2000.01.Ang
188 reference(s)
29-hydrogene.61.K.
181 reference(s)		30-AVirtualSpaceTimeTravelMachine.Ang.FV
179 reference(s)
31-create.03.
178 reference(s)		32-Galerie_GeneralitiesVisualization.FV
177 reference(s)
33-Autostereograms.01.
177 reference(s)		34-Commentaires_DefinitionTransformeeDeFourier.01
176 reference(s)
35-MonumentValley.01.Ang
174 reference(s)		36-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
172 reference(s)
37-Galerie_DeterministicChaos
171 reference(s)		38-Commentaires_ProblemeDesNCorps.01
171 reference(s)
39-Galerie_QuantumMechanics
170 reference(s)		40-AnimFractal.01.
170 reference(s)
41-Galeries.01.vv
169 reference(s)		42-Commentaires_SystemeSolaire.01
168 reference(s)
43-Commentaires_EnsembleMandelbrotComplexe.01
167 reference(s)		44-Vcatalogue.11
166 reference(s)
45-Ariane501.01.Fra
165 reference(s)		46-BEST.20000717
158 reference(s)
47-An2000.11.Fra
158 reference(s)		48-BEST.20000905
157 reference(s)
49-RemarquesCerveau.01
154 reference(s)		50-Commentaires_DefinitionQuaternions.01
153 reference(s)
51-BEST.20010125
151 reference(s)		52-Galerie_SensitivityToRoundingOffErrors
150 reference(s)
53-BEST.20001024
149 reference(s)		54-An2000.05.Fra
148 reference(s)
55-Galerie_QuantumMechanics.FV
147 reference(s)		56-Galerie_ParticleSystems
147 reference(s)
57-Galerie_NumberTheory.FV
147 reference(s)		58-BEST.20010424
147 reference(s)
59-Galerie_DeterministicFractalGeometry.FV
146 reference(s)		60-AVirtualSpaceTimeTravelMachine.Fra.FV
146 reference(s)
61-Commentaires_ModeleIsingTriDimensionnel.01
144 reference(s)		62-BEST.20010529
143 reference(s)
63-BEST.20010925
142 reference(s)		64-BEST.20001205
142 reference(s)
65-Commentaires_ProblemeDesNAimants.01
139 reference(s)		66-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
139 reference(s)
67-Commentaires_ModeleIsingBiDimensionnel.01
138 reference(s)		68-stereogra.01.c.
137 reference(s)
69-BEST.20020116
137 reference(s)		70-AQuoiServentLesMathematiques.01
137 reference(s)
71-Galerie_CelestialMechanics.FV
135 reference(s)		72-RealNumbers.01.Fra
134 reference(s)
73-ManyChaos.01.Ang
133 reference(s)		74-Commentaires_EnsembleJuliaComplexe.01
133 reference(s)
75-JFC
130 reference(s)		76-Galerie_DeterministicFractalGeometry
129 reference(s)
77-Galerie_DeterministicChaos.FV
127 reference(s)		78-Commentaires_EnsembleMandelbrotQuaternion.01
127 reference(s)
79-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
124 reference(s)		80-Commentaires_StructuresVivantesRecursives.01
123 reference(s)
81-Commentaires_EnsembleJuliaQuaternion.01
122 reference(s)		82-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
121 reference(s)
83-ImagesDuVirtuel.01.Fra.FV
118 reference(s)		84-Galerie_NewPictures.FV
118 reference(s)
85-ImpossibleStructures.01.Ang
117 reference(s)		86-Galerie_ArtAndScience.FV
117 reference(s)
87-VisSci_SciVis.01
116 reference(s)		88-Galerie_ParticleSystems.FV
115 reference(s)
89-ExpV_VirE.Ang
115 reference(s)		90-An2000.03.Fra
115 reference(s)
91-Kepler.02.
114 reference(s)		92-Galerie_SignalProcessing.FV
114 reference(s)
93-Galerie_NewPictures
112 reference(s)		94-An2000.06.Fra
110 reference(s)
95-Galerie_SalonDAutomne.FV
108 reference(s)		96-Galerie_GeneralitiesVisualization
107 reference(s)
97-Galerie_Astrophysics.FV
105 reference(s)		98-ArtOrdinateur.01
105 reference(s)
99-ExpV_VirE.01.Fra
103 reference(s)		100-Galerie_SensitivityToRoundingOffErrors.FV
102 reference(s)
101-catalogue.11
100 reference(s)		102-Informations_AboutPicturesAnimationsAndFiles.01.Fra
100 reference(s)
103-Galerie_TextureSynthesis
100 reference(s)		104-Galerie_FluidMechanics.FV
100 reference(s)
105-An2000.04.Fra
98 reference(s)		106-ArtScience.01
95 reference(s)
107-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
94 reference(s)		108-MonumentValley.01.Fra
93 reference(s)
109-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
93 reference(s)		110-ManyChaos.01.Fra
92 reference(s)
111-Galerie_ArtisticCreation
92 reference(s)		112-ExpV_VirE.01.Ang
92 reference(s)
113-PresidentRepublique.01.Fra
90 reference(s)		114-Commentaires_NKleinBottle.01
90 reference(s)
115-Galerie_NumberTheory
89 reference(s)		116-DuReelAuVirtuel.01.Fra
89 reference(s)
117-Informations_GoodNewsAndBadNews.01.Fra
88 reference(s)		118-Galerie_BestOf
88 reference(s)
119-AvantPropos.01.Fra
88 reference(s)		120-LOG_xiMc.11
87 reference(s)
121-VisitesGaleriesEnfouies.01.Fra
85 reference(s)		122-PourLaScience.01.Fra
85 reference(s)
123-Galerie_ArtAndScience
85 reference(s)		124-PremierMinistre.01.Fra
82 reference(s)
125-PatrimoineHumanite.02.Fra
82 reference(s)		126-LumiereVirtuelleParadoxale.01
82 reference(s)
127-ImpossibleStructures.01.Fra
82 reference(s)		128-Galerie_SignalProcessing
82 reference(s)

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




Copyright © Jean-François COLONNA, 2002-2024.
Copyright © France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2002-2024.