Monthly Best Of on 01/27/2004




Intertwining

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
france telecom, France Telecom R&D

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(CMAP28 WWW site: this page was created on 01/27/2004 and last updated on 06/30/2018 14:02:31 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Welcome aboard A VIRTUAL SPACE-TIME TRAVEL MACHINE
1-1417 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-1030 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
3-813 reference(s)
The Lorenz attractor
4-601 reference(s)
Artistic view of the prime numbers
5-580 reference(s)
From Pluto to the Sun (non linear scales)
6-553 reference(s)
Quark and gluon structure of a nucleon
7-498 reference(s)
Happy new year 2000
8-496 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
9-462 reference(s)
The Birth of the Universe
10-438 reference(s)
Jean-François Colonna
11-399 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
12-394 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
13-391 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
14-367 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)
15-355 reference(s)
Paradoxal Monument Valley at sunset
16-341 reference(s)
Artistic view of the Big Bang
17-337 reference(s)
Double impossible staircase
18-325 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
19-315 reference(s)
Electron-positron scattering
20-309 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
21-308 reference(s)
Quark and gluon dynamics of the nucleon
22-288 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
23-285 reference(s)
Mountains at sunrise
24-279 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
25-274 reference(s)
Botticelli anomaly on the Moon
26-256 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
27-254 reference(s)
Linear landscape interpolation (bird's-eye view)
28-249 reference(s)
Animation of a sunrise on mountains
29-247 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
30-245 reference(s)
Tridimensional zoom in on the Mandelbrot set
31-245 reference(s)
Texture animation by means of the generalized Fourier filtering process
32-242 reference(s)
Psychedelic hypercube
33-237 reference(s)
The sum of all '512x512' pictures on 11/10/2003
34-234 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
35-232 reference(s)
The generalized Ulam spiral displaying 100 numbers
36-231 reference(s)
Electron diffraction
37-230 reference(s)
The erection of the Babel Tower
38-225 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
39-219 reference(s)
An Archimedes spiral displaying 1000 numbers
40-216 reference(s)
Cauliflowers, seaweeds, shells,... with fog
41-212 reference(s)
Starship and black hole
42-210 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
43-206 reference(s)
The Eratosthene sieve displaying 100x100 numbers
44-203 reference(s)
Hypercube
45-203 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
46-202 reference(s)
Tridimensional fractal structure
47-198 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
48-196 reference(s)
Fractal landscape interpolation
49-195 reference(s)
Synthesis of bidimensional geometrical textures
50-193 reference(s)
Jean-François Colonna
51-192 reference(s)
Autostereogram with an hidden volcano
52-190 reference(s)
The random walk of photons escaping the Sun
53-190 reference(s)
N-body problem integration (N=2)displaying a perfect Keplerian orbit
54-186 reference(s)
Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
55-185 reference(s)
Archimedes spirals
56-185 reference(s)
Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
57-184 reference(s)
Rotation about the X axis of the Lorenz attractor
58-183 reference(s)
The generalized Ulam spiral displaying 1024 numbers
59-181 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
60-181 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)
61-181 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (tridimensional computation)
62-177 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
63-177 reference(s)
2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
64-176 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)
65-172 reference(s)
Alien
66-169 reference(s)
Artistic view of 128 quaternionic Julia sets -tridimensional cross-sections-
67-166 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
68-164 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)
69-162 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
70-162 reference(s)
Zoom in on light clouds
71-158 reference(s)
Linear landscape interpolation (bird's-eye view)
72-155 reference(s)
Artistic view of the Hydrogen atom
73-154 reference(s)
Monument Valley at sunrise
74-153 reference(s)
Earthquake with multifractal mountains
75-153 reference(s)
Carnival in motion
76-151 reference(s)
Zoom in on mountains (with 3D clipping, bird's-eye view)
77-151 reference(s)
N-body problem integration (N=10)displaying the actual Solar System, our Earth being at the origin of the coordinates
78-150 reference(s)
The Klein bottle
79-149 reference(s)
Zollner optical illusion
80-148 reference(s)
Tridimensional zoom in on the Mandelbrot set
81-147 reference(s)
Morning sun pool
82-146 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
83-145 reference(s)
Autostereogram with an hidden volcano
84-145 reference(s)
A tridimensional periodical fluid with display of velocity histograms
85-145 reference(s)
The eye of God -an artistic view of the Solar System-
86-145 reference(s)
Electron-neutrino scattering
87-145 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)
88-144 reference(s)
Autostereogram with an hidden ring and ghost bows
89-143 reference(s)
Fractal landscape interpolation (bird's-eye view)
90-142 reference(s)
From Pluto to the Sun (linear scales)
91-141 reference(s)
Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
92-140 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
93-140 reference(s)
La Génèse (1974)
94-139 reference(s)
More and more craters on the Moon
95-138 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
96-138 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
97-137 reference(s)
The irreversibility of the numerical bidimensional billiard
98-137 reference(s)
Lorenz butterfly
99-137 reference(s)
Zoom in on a quaternionic Julia set -tridimensional cross-sections-
100-137 reference(s)
Brownian motion of a few heavy slow particles inside a gaz of fast light particles
101-136 reference(s)
Mountains and snowfall
102-136 reference(s)
Happy birthday
103-134 reference(s)
A twisting rope
104-134 reference(s)
Artistic view of the trajectories of tridimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to a vertical field of gravity
105-134 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
106-134 reference(s)
Hodograph of the velocity vectors of the 9 planets of the Solar System during one plutonian year
107-132 reference(s)
Along the border of the Mandelbrot set
108-131 reference(s)
Elliptical landscape interpolation (bird's-eye view)
109-131 reference(s)
The iterative process used to generate fractal mountains (16 iterations)
110-131 reference(s)
Fractal landscape interpolation
111-130 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
112-130 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
113-130 reference(s)
A quaternionic Julia set -tridimensional cross-section-
114-129 reference(s)
The complexity of this WWW site on 12/19/2003
115-129 reference(s)
Fractal landscape interpolation with fog
116-128 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
117-127 reference(s)
The Eratosthene sieve displaying 10x10 numbers
118-127 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
119-126 reference(s)
2 identical grey squares moving over a grey scale
120-124 reference(s)
Impossible structure
121-124 reference(s)
Bidimensional visualization of a bidimensional turbulent flow -sensitivity to initial conditions-
122-124 reference(s)
The sum of all '780x575' pictures on 11/10/2003
123-123 reference(s)
Fractal landscape interpolation
124-123 reference(s)
The first two iterations of the construction of the von Koch curve
125-120 reference(s)
Fractal landscape interpolation (bird's-eye view)
126-120 reference(s)
Convolution of a detail of the Mandelbrot set
127-120 reference(s)
Artistic view of the Solar System viewed from a virtual planet
128-119 reference(s)




2-The 128 most referenced Pages:



1-demo_14
6443 reference(s)
2-An2000.01.Fra
2859 reference(s)
3-AVirtualSpaceTimeTravelMachine.Ang
2187 reference(s)
4-Galerie_ArtisticCreation.FV
966 reference(s)
5-help.
941 reference(s)
6-AVirtualSpaceTimeTravelMachine.Fra
534 reference(s)
7-Stereogrammes_AutoStereogrammes.01
439 reference(s)
8-Galeries.01.vv
437 reference(s)
9-copyright.01.
420 reference(s)
10-BEST.20000905
409 reference(s)
11-ImagesDuVirtuel.01.Fra
408 reference(s)
12-mail.01.vv
402 reference(s)
13-Galerie_BestOf.FV
399 reference(s)
14-Galerie_DeterministicChaos
376 reference(s)
15-Commentaires_DefinitionTransformeeDeFourier.01
366 reference(s)
16-present.01.
365 reference(s)
17-Galerie_QuantumMechanics.FV
360 reference(s)
18-Galerie_DeterministicFractalGeometry.FV
355 reference(s)
19-Galerie_CelestialMechanics.FV
347 reference(s)
20-ImagesDuVirtuel.01.Fra.FV
345 reference(s)
21-Commentaires_SystemeSolaire.01
345 reference(s)
22-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
336 reference(s)
23-Galerie_GeneralitiesVisualization.FV
334 reference(s)
24-Fractal.01
331 reference(s)
25-Galerie_CelestialMechanics
326 reference(s)
26-AVirtualSpaceTimeTravelMachine.Ang.FV
325 reference(s)
27-demo_14.FV
322 reference(s)
28-Galerie_NewPictures.FV
318 reference(s)
29-MOSA.PAYS.u9.M.20031207
311 reference(s)
30-MOSA.LYAP.33.10000.20031207
306 reference(s)
31-GenieLogiciel.01.Fra
301 reference(s)
32-Galerie_NumberTheory.FV
296 reference(s)
33-ExpV_VirE.Fra
289 reference(s)
34-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
285 reference(s)
35-MOSA.JFC.F1.F2.20031207
282 reference(s)
36-hydrogene.61.K.
280 reference(s)
37-Galerie_DeterministicChaos.FV
280 reference(s)
38-ExpV_VirE.11
278 reference(s)
39-Informations_AboutPicturesAnimationsAndFiles.01.Ang
277 reference(s)
40-AVirtualSpaceTimeTravelMachine.Fra.FV
276 reference(s)
41-AvantPropos.01.Ang
274 reference(s)
42-AProposSite.01.Fra
268 reference(s)
43-Galerie_ParticleSystems.FV
256 reference(s)
44-Galerie_QuantumMechanics
249 reference(s)
45-Galerie_DeterministicFractalGeometry
244 reference(s)
46-AQuoiServentLesMathematiques.01
244 reference(s)
47-Galerie_Astrophysics.FV
237 reference(s)
48-Galerie_TextureSynthesis.FV
236 reference(s)
49-Galerie_FluidMechanics.FV
233 reference(s)
50-Galerie_ArtAndScience.FV
232 reference(s)
51-BEST.20010925
230 reference(s)
52-ArtScience.01
230 reference(s)
53-BEST.20020828
229 reference(s)
54-An2000.05.Fra
227 reference(s)
55-BEST.20031126
225 reference(s)
56-Commentaires_ModeleIsingBiDimensionnel.01
224 reference(s)
57-Commentaires_ProblemeDesNCorps.01
219 reference(s)
58-Commentaires_DefinitionQuaternions.01
219 reference(s)
59-Commentaires_DefinitionComplexes.01
215 reference(s)
60-Commentaires_EnsembleMandelbrotComplexe.01
213 reference(s)
61-RealNumbers.01.Fra
211 reference(s)
62-Ariane501.01.Fra
211 reference(s)
63-Galerie_ParticleSystems
206 reference(s)
64-Vcatalogue.11
205 reference(s)
65-RemarquesCerveau.01
202 reference(s)
66-Galerie_SensitivityToRoundingOffErrors.FV
202 reference(s)
67-Autostereograms.01.
202 reference(s)
68-AnimFractal.01.
200 reference(s)
69-subject.01.
198 reference(s)
70-An2000.02.Fra
198 reference(s)
71-Galerie_NewPictures.DIAPO.0001
197 reference(s)
72-BEST.20000323
197 reference(s)
73-BEST.20030327
195 reference(s)
74-Informations_GoodNewsAndBadNews.01.Ang
192 reference(s)
75-BEST.20030822
192 reference(s)
76-create.03.
190 reference(s)
77-Galerie_SignalProcessing.FV
189 reference(s)
78-ExpV_VirE.01.Fra
189 reference(s)
79-BEST.20030604
188 reference(s)
80-VirtualChaos.01.Fra
186 reference(s)
81-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
186 reference(s)
82-Commentaires_EspaceLyapunovComplexe.01
181 reference(s)
83-VisitesGaleriesEnfouies.01.Ang
179 reference(s)
84-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
175 reference(s)
85-An2000.11.Fra
173 reference(s)
86-Galerie_ArtisticCreation
170 reference(s)
87-Commentaires_ProblemeDesNAimants.01
167 reference(s)
88-LOG_xiMc.11
166 reference(s)
89-Commentaires_KleinBottle.01
166 reference(s)
90-ArtOrdinateur.01
166 reference(s)
91-Galerie_GeneralitiesVisualization
165 reference(s)
92-VisSci_SciVis.01
164 reference(s)
93-Kepler.02.
164 reference(s)
94-Galerie_SalonDAutomne.FV
163 reference(s)
95-Galerie_QuantumMechanics.DIAPO.0001
163 reference(s)
96-ExpV_VirE.Ang
162 reference(s)
97-Commentaires_ModeleIsingTriDimensionnel.01
161 reference(s)
98-Galerie_TextureSynthesis
160 reference(s)
99-Commentaires_NKleinBottle.01
160 reference(s)
100-DuReelAuVirtuel.01.Fra
155 reference(s)
101-An2000.04.Fra
155 reference(s)
102-Galerie_NewPictures.DIAPO.0002
154 reference(s)
103-Galerie_ArtAndScience.DIAPO.0001
152 reference(s)
104-Galerie_ArtAndScience
152 reference(s)
105-JFC
151 reference(s)
106-Galerie_ArtisticCreation.DIAPO.0001
151 reference(s)
107-Commentaires_EnsembleMandelbrotQuaternion.01
151 reference(s)
108-An2000.01.Ang
151 reference(s)
109-Galerie_NewPictures
150 reference(s)
110-VisitesGaleriesEnfouies.01.Fra
149 reference(s)
111-Galerie_DeterministicChaos.DIAPO.0001
149 reference(s)
112-An2000.06.Fra
149 reference(s)
113-Commentaires_RacinesNIemesUniteComplexes.01
148 reference(s)
114-Galerie_DeterministicFractalGeometry.DIAPO.0001
146 reference(s)
115-AvantPropos.01.Fra
146 reference(s)
116-verhulst.94.c.
145 reference(s)
117-stereogra.01.c.
145 reference(s)
118-Commentaires_EnsembleJuliaComplexe.01
145 reference(s)
119-relativity.01.
144 reference(s)
120-catalogue.11
144 reference(s)
121-Galerie_BestOf
144 reference(s)
122-Commentaires_RacinesTroisiemesUniteComplexes.01
144 reference(s)
123-ImpossibleStructures.01.Ang
142 reference(s)
124-ExpV_VirE.01.Ang
142 reference(s)
125-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
142 reference(s)
126-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
142 reference(s)
127-Galerie_NumberTheory
141 reference(s)
128-An2000.03.Fra
141 reference(s)

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




Copyright (c) Jean-François Colonna, 2004-2018.
Copyright (c) France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2004-2018.