Monthly Best Of on 06/29/2004




Paradoxal islands at sunset

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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(CMAP28 WWW site: this page was created on 06/29/2004 and last updated on 11/14/2023 17:46:42 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Tridimensional representation of a quadridimensional Calabi-Yau manifold
1-1008 reference(s)		 Light clouds
2-876 reference(s)		 Welcome aboard A VIRTUAL SPACE-TIME TRAVEL MACHINE
3-816 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
4-750 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
5-579 reference(s)		 Artistic view of the prime numbers
6-466 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
7-426 reference(s)		 The Lorenz attractor
8-405 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)
9-388 reference(s)		 Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
10-378 reference(s)		 From Pluto to the Sun (non linear scales)
11-376 reference(s)		 Quark and gluon structure of a nucleon
12-352 reference(s)
Happy birthday
13-349 reference(s)		 Alien
14-336 reference(s)		 Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
15-318 reference(s)		 The Earth, the Life and the Sun
16-302 reference(s)
Psychedelic hypercube
17-293 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
18-285 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
19-282 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
20-282 reference(s)
A Jeener-Möbius tridimensional manifold
21-271 reference(s)		 Mountains at sunrise
22-262 reference(s)		 Triple impossible staircase
23-259 reference(s)		 Electron-positron scattering
24-250 reference(s)
Snowy multifractal mountains
25-248 reference(s)		 Tridimensional texture animation by means of the Generalized Product (bird's-eye view)
26-247 reference(s)		 The Birth of the Universe
27-238 reference(s)		 Tridimensional zoom in on the Mandelbrot set
28-229 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
29-228 reference(s)		 Rotation about the Y (vertical)axis of a Jeener-Möbius tridimensional manifold that can also be viewed as a set of 4x3 stereograms
30-223 reference(s)		 Cauliflowers, seaweeds, shells,... with fog
31-221 reference(s)		 Mountains and light cloud dynamics -this sequence being periodical-
32-221 reference(s)
Quark and gluon dynamics of the nucleon
33-213 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
34-211 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)
35-211 reference(s)		 Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
36-209 reference(s)
Flower
37-208 reference(s)		 Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
38-208 reference(s)		 Autostereogram with an hidden volcano
39-206 reference(s)		 The Eratosthene sieve displaying 100x100 numbers
40-206 reference(s)
Hypercube
41-206 reference(s)		 Synthesis of bidimensional textures
42-204 reference(s)		 Autostereogram with an hidden volcano
43-199 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
44-199 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
45-197 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
46-195 reference(s)		 Alien
47-192 reference(s)		 Botticelli anomaly on the Moon
48-191 reference(s)
Animation of a sunrise on mountains
49-187 reference(s)		 Alien
50-186 reference(s)		 The generalized Ulam spiral displaying 100 numbers
51-183 reference(s)		 Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
52-183 reference(s)
Rotation about the X axis of the Lorenz attractor
53-181 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)
54-180 reference(s)		 A dynamics of the coordinate grid of a Jeener-Möbius tridimensional manifold
55-178 reference(s)		 Autostereogram with an hidden volcano
56-176 reference(s)
An Archimedes spiral displaying 1000 numbers
57-176 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
58-176 reference(s)		 Texture animation by means of the generalized Fourier filtering process
59-176 reference(s)		 Electron diffraction
60-174 reference(s)
Untitled 0040
61-171 reference(s)		 The Jeener-Klein quintuple bottle
62-171 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
63-169 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
64-168 reference(s)
Alien
65-167 reference(s)		 Snowy multifractal mountains
66-166 reference(s)		 From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
67-164 reference(s)		 Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
68-163 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)
69-160 reference(s)		 Artistic view of a the Jeener-Möbius tridimensional manifold
70-159 reference(s)		 Starship and black hole
71-159 reference(s)		 The random walk of photons escaping the Sun
72-158 reference(s)
Artistic view of the Big Bang
73-156 reference(s)		 Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
74-156 reference(s)		 Tridimensional Mondrian -a Tribute to Piet Mondrian-
75-156 reference(s)		 An arbitrary surface (Jeener surface 2)in motion
76-155 reference(s)
La Génèse (1974)
77-155 reference(s)		 Synthesis of tridimensional textures by means of a fractal process
78-153 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
79-153 reference(s)		 The complexity of this WWW site on 03/09/2004
80-153 reference(s)
Snowy multifractal mountains
81-152 reference(s)		 Lorenz butterfly
82-152 reference(s)		 Synthesis of tridimensional textures by means of a fractal process
83-151 reference(s)		 Translation along the fourth axis of a quaternionic Julia set -tridimensional cross-sections-
84-151 reference(s)
Tridimensional fractal structure
85-151 reference(s)		 The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
86-149 reference(s)		 Snowy multifractal mountains
87-148 reference(s)		 Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
88-147 reference(s)
Archimedes spirals
89-147 reference(s)		 Convolution of a detail of the Mandelbrot set
90-146 reference(s)		 The generalized Ulam spiral displaying 1024 numbers
91-145 reference(s)		 Bidimensional visualization of a bidimensional turbulent flow -sensitivity to initial conditions-
92-145 reference(s)
Jean-François COLONNA
93-144 reference(s)		 The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
94-142 reference(s)		 Brownian motion of a few heavy slow particles inside a gaz of fast light particles
95-141 reference(s)		 A Jeener-Möbius tridimensional manifold
96-141 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
97-140 reference(s)		 Animation of a natural form
98-140 reference(s)		 Artistic view of 128 quaternionic Julia sets -tridimensional cross-sections-
99-140 reference(s)		 Along the border of the Mandelbrot set
100-139 reference(s)
Interpolation between the Jeener-Klein quintuple bottle and the Bonan-Jeener-Klein triple bottle
101-139 reference(s)		 A twisting rope
102-138 reference(s)		 The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
103-137 reference(s)		 Synthesis of bidimensional textures
104-134 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)
105-134 reference(s)		 Electron-neutrino scattering
106-134 reference(s)		 The Bonan-Jeener-Klein triple bottle
107-134 reference(s)		 The Klein bottle
108-134 reference(s)
The eye of God -an artistic view of the Solar System-
109-133 reference(s)		 Artistic view of the Hydrogen atom
110-133 reference(s)		 N-body problem integration (N=2)displaying a perfect Keplerian orbit
111-132 reference(s)		 Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
112-131 reference(s)
Earthquake with multifractal mountains
113-130 reference(s)		 The complexity of this WWW site on 03/12/2004
114-129 reference(s)		 Artistic view of the interpolation between the Jeener-Klein quintuple bottle and the Bonan-Jeener-Klein triple bottle
115-129 reference(s)		 Synthesis of bidimensional textures
116-128 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
117-128 reference(s)		 The erection of the Babel Tower
118-128 reference(s)		 A higly symmetrical system (a bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle)can lost very fast the memory of its initial symmetry -with display of velocity histograms-
119-127 reference(s)		 Bidimensional domino effect
120-127 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
121-127 reference(s)		 Tridimensional display of 36 eigenstates of the Hydrogen atom (tridimensional computation)
122-125 reference(s)		 Along the border of the Mandelbrot set
123-124 reference(s)		 Rotation about the Y (vertical)axis of a Jeener-Möbius tridimensional manifold that can also be viewed as a set of 4x3 stereograms
124-123 reference(s)
A quaternionic Julia set -tridimensional cross-section-
125-122 reference(s)		 Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
126-122 reference(s)		 Artistic view of the Bonan-Jeener-Klein triple bottle
127-122 reference(s)		 Bidimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to a vertical field of gravity
128-121 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
4586 reference(s)		 2-An2000.01.Fra
2626 reference(s)
3-AVirtualSpaceTimeTravelMachine.Ang
1903 reference(s)		 4-Galerie_ArtisticCreation.FV
1128 reference(s)
5-Galerie_GeneralitiesVisualization.FV
1033 reference(s)		 6-help.
838 reference(s)
7-AVirtualSpaceTimeTravelMachine.Fra
569 reference(s)		 8-Galerie_CelestialMechanics.FV
480 reference(s)
9-ImagesDuVirtuel.01.Fra
479 reference(s)		 10-Fractal.01
453 reference(s)
11-Galeries.01.vv
443 reference(s)		 12-copyright.01.
433 reference(s)
13-mail.01.vv
410 reference(s)		 14-Stereogrammes_AutoStereogrammes.01
408 reference(s)
15-present.01.
399 reference(s)		 16-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
396 reference(s)
17-Galerie_BestOf.FV
393 reference(s)		 18-Commentaires_SystemeSolaire.01
393 reference(s)
19-BEST.20000905
392 reference(s)		 20-GenieLogiciel.01.Fra
390 reference(s)
21-demo_14.FV
389 reference(s)		 22-Galerie_DeterministicFractalGeometry.FV
384 reference(s)
23-AVirtualSpaceTimeTravelMachine.Ang.FV
380 reference(s)		 24-Galerie_QuantumMechanics.FV
348 reference(s)
25-Galerie_ParticleSystems.FV
344 reference(s)		 26-Galerie_TextureSynthesis.FV
341 reference(s)
27-Galerie_NumberTheory.FV
334 reference(s)		 28-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
332 reference(s)
29-FloatingPointNumbers.01.Ang
331 reference(s)		 30-Galerie_NewPictures.FV
323 reference(s)
31-ExpV_VirE.Fra
319 reference(s)		 32-hydrogene.61.K.
316 reference(s)
33-Galerie_DeterministicChaos
314 reference(s)		 34-Commentaires_DefinitionTransformeeDeFourier.01
311 reference(s)
35-Informations_AboutPicturesAnimationsAndFiles.01.Ang
299 reference(s)		 36-Galerie_DeterministicChaos.FV
298 reference(s)
37-Vcatalogue.11
294 reference(s)		 38-AProposSite.01.Fra
289 reference(s)
39-MOSA.PAYS.u9.M.20031207
288 reference(s)		 40-ExpV_VirE.11
288 reference(s)
41-An2000.02.Fra
282 reference(s)		 42-Galerie_NewPictures.DIAPO.0001
280 reference(s)
43-BEST.20040127
280 reference(s)		 44-Galerie_CelestialMechanics
277 reference(s)
45-AVirtualSpaceTimeTravelMachine.Fra.FV
273 reference(s)		 46-MOSA.LYAP.33.10000.20031207
272 reference(s)
47-ImagesDuVirtuel.01.Fra.FV
271 reference(s)		 48-FloatingPointNumbers.01.Fra
270 reference(s)
49-BEST.20010925
269 reference(s)		 50-MOSA.JFC.F1.F2.20031207
268 reference(s)
51-Commentaires_EspaceLyapunovComplexe.01
264 reference(s)		 52-Kepler.02.
263 reference(s)
53-AvantPropos.01.Ang
263 reference(s)		 54-Galerie_ArtAndScience.FV
262 reference(s)
55-RealNumbers.01.Fra
261 reference(s)		 56-AnimFractal.01.
260 reference(s)
57-Galerie_FluidMechanics.FV
258 reference(s)		 58-Galerie_DeterministicFractalGeometry
258 reference(s)
59-create.03.
256 reference(s)		 60-Galerie_NewPictures.DIAPO.0002
255 reference(s)
61-BEST.20000323
255 reference(s)		 62-Commentaires_ProblemeDesNCorps.01
253 reference(s)
63-BEST.20020828
253 reference(s)		 64-Galerie_Astrophysics.FV
252 reference(s)
65-Commentaires_NKleinBottle.01
252 reference(s)		 66-LOG_xiMc.11
251 reference(s)
67-BEST.20030604
247 reference(s)		 68-Galerie_ParticleSystems
245 reference(s)
69-BEST.20030822
245 reference(s)		 70-Galerie_SignalProcessing.FV
244 reference(s)
71-Autostereograms.01.
244 reference(s)		 72-An2000.05.Fra
244 reference(s)
73-BEST.20030327
243 reference(s)		 74-Galerie_SensitivityToRoundingOffErrors.FV
242 reference(s)
75-BEST.20031126
242 reference(s)		 76-subject.01.
240 reference(s)
77-Commentaires_DefinitionQuaternions.01
238 reference(s)		 78-Galerie_QuantumMechanics
237 reference(s)
79-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0001
237 reference(s)		 80-An2000.11.Fra
237 reference(s)
81-Galerie_NewPictures.DIAPO.0003
236 reference(s)		 82-Galerie_ArtisticCreation
236 reference(s)
83-Informations_GoodNewsAndBadNews.01.Ang
234 reference(s)		 84-Commentaires_ModeleIsingTriDimensionnel.01
234 reference(s)
85-Commentaires_ModeleIsingBiDimensionnel.01
233 reference(s)		 86-An2000.01.Ang
233 reference(s)
87-Commentaires_KleinBottle.01
231 reference(s)		 88-catalogue.11
230 reference(s)
89-Galerie_QuantumMechanics.DIAPO.0001
227 reference(s)		 90-Ariane501.01.Fra
227 reference(s)
91-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
226 reference(s)		 92-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
226 reference(s)
93-Galerie_NewPictures.DIAPO.0004
225 reference(s)		 94-ArtScience.01
225 reference(s)
95-Galerie_DeterministicFractalGeometry.DIAPO.0001
224 reference(s)		 96-ExpV_VirE.01.Fra
222 reference(s)
97-Galerie_Astrophysics.DIAPO.0001
221 reference(s)		 98-Commentaires_EnsembleMandelbrotComplexe.01
221 reference(s)
99-AQuoiServentLesMathematiques.01
221 reference(s)		 100-Galerie_NewPictures.DIAPO.0005
219 reference(s)
101-stereogra.01.c.
218 reference(s)		 102-Galerie_ArtisticCreation.DIAPO.0001
218 reference(s)
103-ExpV_VirE.Ang
217 reference(s)		 104-Galerie_NumberTheory.DIAPO.0001
216 reference(s)
105-Galerie_NewPictures
216 reference(s)		 106-RemarquesCerveau.01
215 reference(s)
107-MinistreEducationNationale.01.Fra
215 reference(s)		 108-Galerie_TextureSynthesis
214 reference(s)
109-An2000.04.Fra
214 reference(s)		 110-JFC
213 reference(s)
111-Galerie_GeneralitiesVisualization
213 reference(s)		 112-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
213 reference(s)
113-BEST.20000403
212 reference(s)		 114-An2000.06.Fra
212 reference(s)
115-VirtualChaos.01.Fra
211 reference(s)		 116-Galerie_FluidMechanics.DIAPO.0001
211 reference(s)
117-Commentaires_DefinitionComplexes.01
211 reference(s)		 118-ImpossibleStructures.01.Ang
210 reference(s)
119-Galerie_DeterministicChaos.DIAPO.0001
210 reference(s)		 120-An2000.03.Fra
210 reference(s)
121-Commentaires_EnsembleMandelbrotQuaternion.01
209 reference(s)		 122-Commentaires_SurfaceDeBoy.01
208 reference(s)
123-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
207 reference(s)		 124-Commentaires_ProblemeDesNAimants.01
207 reference(s)
125-Galerie_SalonDAutomne.FV
206 reference(s)		 126-Galerie_GeneralitiesVisualization.DIAPO.0001
206 reference(s)
127-Galerie_ArtAndScience
205 reference(s)		 128-infinity.01.vv
204 reference(s)

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




Copyright © Jean-François COLONNA, 2004-2023.
Copyright © France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2004-2023.