Monthly Best Of on 01/28/2005




A 'double sphere' defined by means of three bidimensional fields

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 01/28/2005 and last updated on 06/30/2018 14:02:31 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Hypercube
1-2292 reference(s)
Psychedelic hypercube
2-1896 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
3-1562 reference(s)
Black dots (inside random white squares)on a square lattice
4-1350 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
5-1158 reference(s)
Impossible structure
6-1092 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
7-1076 reference(s)
Vibrations 0001
8-1051 reference(s)
Snowy multifractal mountains
9-919 reference(s)
Welcome aboard A VIRTUAL SPACE-TIME TRAVEL MACHINE
10-895 reference(s)
Artistic view of the prime numbers
11-588 reference(s)
Two identical grey rectangles in front of a grey scale
12-532 reference(s)
Quark and gluon structure of a nucleon
13-527 reference(s)
The random walk of photons escaping the Sun
14-525 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
15-486 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
16-486 reference(s)
The Lorenz attractor
17-475 reference(s)
Happy birthday
18-457 reference(s)
From Pluto to the Sun (non linear scales)
19-431 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
20-415 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
21-414 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)
22-407 reference(s)
Mountains at sunrise
23-405 reference(s)
Synthesis of bidimensional symmetrical geometrical textures
24-393 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
25-385 reference(s)
Quark and gluon structure of a nucleon
26-385 reference(s)
Light clouds
27-384 reference(s)
Jean-François Colonna
28-381 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
29-371 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
30-369 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
31-355 reference(s)
Electron-positron scattering
32-350 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
33-348 reference(s)
Quark and gluon dynamics of the nucleon
34-338 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
35-331 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
36-325 reference(s)
Along the border of the Mandelbrot set
37-322 reference(s)
The Birth of the Universe
38-318 reference(s)
Cauliflowers, seaweeds, shells,... with fog
39-315 reference(s)
Autostereogram with an hidden volcano
40-311 reference(s)
A shell (Jeener surface 1)in motion
41-303 reference(s)
Paradoxal Monument Valley at sunset
42-301 reference(s)
Autostereogram with an hidden ring and ghost bows
43-291 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
44-291 reference(s)
Alien
45-279 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
46-276 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
47-275 reference(s)
Double impossible staircase
48-272 reference(s)
Artistic view of the Big Bang
49-264 reference(s)
Happy new year 2000
50-259 reference(s)
A sphere defined by means of three bidimensional fields
51-253 reference(s)
The generalized Ulam spiral displaying 100 numbers
52-244 reference(s)
From Pluto to the Sun -extrapolation 2- (non linear scales)
53-244 reference(s)
Electron diffraction
54-243 reference(s)
Autostereogram with an hidden volcano
55-242 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
56-236 reference(s)
Happy new year 2000
57-234 reference(s)
Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
58-231 reference(s)
A twisting rope
59-228 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
60-227 reference(s)
La Génèse (1974)
61-221 reference(s)
Botticelli anomaly on the Moon
62-219 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
63-218 reference(s)
Synthesis of tridimensional textures by means of a fractal process
64-218 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
65-213 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
66-213 reference(s)
Mountains and snowfall
67-211 reference(s)
A fractal surface defined by means of three bidimensional fields
68-202 reference(s)
Tridimensional zoom in on the Mandelbrot set
69-201 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
70-199 reference(s)
The bidimensional field defining the 'Z' coordinate of a sphere
71-198 reference(s)
Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
72-197 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
73-194 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
74-194 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
75-193 reference(s)
Texture animation by means of the generalized Fourier filtering process
76-190 reference(s)
Jean-François Colonna
77-187 reference(s)
A 'crumpled' sphere defined by means of three bidimensional fields
78-185 reference(s)
The Eratosthene sieve displaying 100x100 numbers
79-185 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)
80-185 reference(s)
Happy new year 2000
81-185 reference(s)
Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
82-185 reference(s)
Cracks
83-185 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
84-183 reference(s)
The Scream -a Tribute to Edvard Munch-
85-183 reference(s)
N-body problem integration (N=2)displaying a perfect Keplerian orbit
86-183 reference(s)
Artistic view of 128 quaternionic Julia sets -tridimensional cross-sections-
87-183 reference(s)
Autostereogram with an hidden volcano
88-181 reference(s)
Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
89-179 reference(s)
Carnival
90-177 reference(s)
Convolution of a detail of the Mandelbrot set
91-177 reference(s)
Rotation about the X axis of the Lorenz attractor
92-177 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
93-176 reference(s)
Golden ring
94-173 reference(s)
The generalized Ulam spiral displaying 1024 numbers
95-173 reference(s)
An Archimedes spiral displaying 1000 numbers
96-173 reference(s)
Earthquake with multifractal mountains
97-170 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)
98-169 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
99-168 reference(s)
Starship and black hole
100-167 reference(s)
Zollner optical illusion
101-166 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
102-166 reference(s)
The first two iterations of the construction of the von Koch curve
103-165 reference(s)
Animation of a sunrise on mountains
104-165 reference(s)
Earthquake
105-165 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (tridimensional computation)
106-165 reference(s)
Animation of a natural form
107-164 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
108-164 reference(s)
A 'crumpled' sphere defined by means of three bidimensional fields
109-163 reference(s)
The iterative process used to generate fractal mountains (16 iterations)
110-163 reference(s)
Along the border of the Mandelbrot set
111-162 reference(s)
Zoom in on light clouds
112-161 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
113-160 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)
114-159 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
115-159 reference(s)
Cauliflowers, seaweeds, shells,...
116-158 reference(s)
Monument Valley at sunrise
117-155 reference(s)
The Klein bottle
118-155 reference(s)
Tridimensional fractal structure
119-154 reference(s)
Electron-neutrino scattering
120-153 reference(s)
Computer crash
121-151 reference(s)
Bidimensional zoom in on the Z=Zeta(Z)iteration with display of the arguments
122-151 reference(s)
Fractal diffusion front in a bidimensional medium obtained by means of identical interacting particles
123-150 reference(s)
Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
124-149 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
125-148 reference(s)
Brownian motion of a few heavy slow particles inside a gaz of fast light particles with increasing mass ratio (heavy/light=1,10,100,1000)
126-148 reference(s)
Foggy Brittany
127-148 reference(s)
Brownian motion of a few heavy slow particles inside a gaz of fast light particles
128-146 reference(s)




2-The 128 most referenced Pages:



1-demo_14
4273 reference(s)
2-An2000.01.Fra
3320 reference(s)
3-Galerie_GeneralitiesVisualization.FV
2136 reference(s)
4-AVirtualSpaceTimeTravelMachine.Ang
1816 reference(s)
5-Galerie_CelestialMechanics.FV
1522 reference(s)
6-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
1193 reference(s)
7-Galerie_QuantumMechanics.FV
1056 reference(s)
8-help.
1046 reference(s)
9-Galerie_ArtisticCreation.FV
911 reference(s)
10-AVirtualSpaceTimeTravelMachine.Fra
721 reference(s)
11-Galerie_BestOf.FV
629 reference(s)
12-Galerie_DeterministicFractalGeometry.FV
617 reference(s)
13-Fractal.01
563 reference(s)
14-AVirtualSpaceTimeTravelMachine.Fra.FV
542 reference(s)
15-ExpV_VirE.11
529 reference(s)
16-mail.01.vv
519 reference(s)
17-copyright.01.
519 reference(s)
18-Galerie_ParticleSystems.FV
496 reference(s)
19-present.01.
495 reference(s)
20-Galerie_NumberTheory.FV
494 reference(s)
21-Informations_AboutPicturesAnimationsAndFiles.01.Ang
482 reference(s)
22-Galerie_ArtAndScience.FV
480 reference(s)
23-demo_14.FV
465 reference(s)
24-Commentaires_SystemeSolaire.01
462 reference(s)
25-BEST.20000905
436 reference(s)
26-FloatingPointNumbers.01.Ang
433 reference(s)
27-AVirtualSpaceTimeTravelMachine.Ang.FV
431 reference(s)
28-AProposSite.01.Fra
417 reference(s)
29-Stereogrammes_AutoStereogrammes.01
411 reference(s)
30-ExpV_VirE.Fra
406 reference(s)
31-FloatingPointNumbers.01.Fra
403 reference(s)
32-ImagesDuVirtuel.01.Fra
397 reference(s)
33-Galeries.01.vv
394 reference(s)
34-GenieLogiciel.01.Fra
384 reference(s)
35-Galerie_DeterministicChaos.FV
365 reference(s)
36-Galerie_TextureSynthesis.FV
351 reference(s)
37-Galerie_NewPictures.FV
344 reference(s)
38-ImagesDuVirtuel.01.Fra.FV
339 reference(s)
39-hydrogene.61.K.
325 reference(s)
40-Vcatalogue.11
325 reference(s)
41-Galerie_GeneralitiesVisualization.DIAPO.0001
319 reference(s)
42-Commentaires_DefinitionTransformeeDeFourier.01
302 reference(s)
43-BEST.20010925
302 reference(s)
44-BEST.20041029
298 reference(s)
45-AQuoiServentLesMathematiques.01
297 reference(s)
46-RemarquesCerveau.01
295 reference(s)
47-Galerie_FluidMechanics.FV
295 reference(s)
48-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
294 reference(s)
49-An2000.02.Fra
290 reference(s)
50-Galerie_Astrophysics.FV
288 reference(s)
51-RealNumbers.01.Fra
278 reference(s)
52-Galerie_SignalProcessing.FV
276 reference(s)
53-Commentaires_ProblemeDesNCorps.01
273 reference(s)
54-Galerie_SensitivityToRoundingOffErrors.FV
271 reference(s)
55-MOSA.JFC.F1.F2.20031207
269 reference(s)
56-Galerie_NewPictures.DIAPO.0001
267 reference(s)
57-MOSA.LYAP.33.10000.20031207
266 reference(s)
58-Commentaires_EspaceLyapunovComplexe.01
266 reference(s)
59-Galerie_DeterministicChaos
263 reference(s)
60-Galerie_Astrophysics.DIAPO.0001
262 reference(s)
61-Commentaires_ModeleIsingBiDimensionnel.01
260 reference(s)
62-AvantPropos.01.Ang
260 reference(s)
63-BEST.20020828
259 reference(s)
64-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
254 reference(s)
65-Kepler.02.
253 reference(s)
66-ExpV_VirE.21
252 reference(s)
67-Galerie_GeneralitiesVisualization.DIAPO.0002
251 reference(s)
68-AnimFractal.01.
251 reference(s)
69-An2000.11.Fra
249 reference(s)
70-LOG_xiMc.11
248 reference(s)
71-Galerie_BestOf.DIAPO.0001
247 reference(s)
72-Commentaires_DefinitionQuaternions.01
246 reference(s)
73-MOSA.PAYS.u9.M.20031207
245 reference(s)
74-VirtualChaos.01.Fra
243 reference(s)
75-Commentaires_NKleinBottle.01
242 reference(s)
76-An2000.05.Fra
242 reference(s)
77-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
241 reference(s)
78-Commentaires_DefinitionComplexes.01
241 reference(s)
79-Ariane501.01.Fra
241 reference(s)
80-create.03.
236 reference(s)
81-BEST.20030822
236 reference(s)
82-Galerie_ParticleSystems
235 reference(s)
83-BEST.20040127
235 reference(s)
84-ArtScience.01
234 reference(s)
85-BEST.20000323
232 reference(s)
86-Galerie_CelestialMechanics
230 reference(s)
87-Galerie_FluidMechanics.DIAPO.0001
229 reference(s)
88-BEST.20040629
229 reference(s)
89-BEST.20030327
229 reference(s)
90-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0001
228 reference(s)
91-Commentaires_EnsembleMandelbrotComplexe.01
228 reference(s)
92-Autostereograms.01.
228 reference(s)
93-An2000.06.Fra
228 reference(s)
94-subject.01.
226 reference(s)
95-Galerie_NumberTheory.DIAPO.0001
225 reference(s)
96-Galerie_SalonDAutomne.FV
222 reference(s)
97-Galerie_QuantumMechanics.DIAPO.0001
221 reference(s)
98-Galerie_GeneralitiesVisualization.DIAPO.0003
220 reference(s)
99-ExpV_VirE.Ang
220 reference(s)
100-Commentaires_EnsembleJuliaComplexe.01
220 reference(s)
101-Galerie_GeneralitiesVisualization.DIAPO.0004
218 reference(s)
102-ArtOrdinateur.01
218 reference(s)
103-An2000.01.Ang
218 reference(s)
104-Galerie_Astrophysics.DIAPO.0002
217 reference(s)
105-BEST.20031126
217 reference(s)
106-BEST.20030604
216 reference(s)
107-Galerie_NewPictures.DIAPO.0002
214 reference(s)
108-Galerie_CollaborativeWorks..FV
213 reference(s)
109-catalogue.11
211 reference(s)
110-stereogra.01.c.
210 reference(s)
111-VisSci_SciVis.01
210 reference(s)
112-MinistreEducationNationale.01.Fra
210 reference(s)
113-Galerie_QuantumMechanics
210 reference(s)
114-Galerie_GeneralitiesVisualization
210 reference(s)
115-Galerie_ArtisticCreation.DIAPO.0001
210 reference(s)
116-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
210 reference(s)
117-Galerie_ParticleSystems.DIAPO.0001
209 reference(s)
118-MonumentValley.01.Fra
208 reference(s)
119-Galerie_DeterministicChaos.DIAPO.0001
208 reference(s)
120-Commentaires_EnsembleMandelbrotQuaternion.01
208 reference(s)
121-Galerie_DeterministicFractalGeometry.DIAPO.0001
207 reference(s)
122-ExpV_VirE.01.Fra
207 reference(s)
123-JFC
206 reference(s)
124-Galerie_DeterministicFractalGeometry
206 reference(s)
125-Commentaires_RacinesNIemesUniteComplexes.01
206 reference(s)
126-Informations_GoodNewsAndBadNews.01.Ang
204 reference(s)
127-Galerie_FluidMechanics.DIAPO.0002
204 reference(s)
128-ExpV_VirE.01.Ang
204 reference(s)

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Copyright (c) Jean-François Colonna, 2005-2018.
Copyright (c) France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2005-2018.