Monthly Best Of on 03/27/2003




A 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.58...,+0.63...,0,0)-tridimensional cross-section-

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 03/27/2003 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
1-1178 reference(s)
Artistic view of the prime numbers
2-792 reference(s)
Jean-François Colonna
3-759 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
4-718 reference(s)
Color display of a tridimensional function
5-630 reference(s)
Rotation about X and Y axes of the Jeener bottle
6-565 reference(s)
The Lorenz attractor
7-563 reference(s)
Quark and gluon structure of a nucleon
8-528 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
9-517 reference(s)
From Pluto to the Sun (non linear scales)
10-429 reference(s)
Artistic view of the Big Bang
11-411 reference(s)
The Birth of the Universe
12-410 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
13-379 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
14-366 reference(s)
The bidimensional John Conway's life game
15-350 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)
16-336 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
17-334 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
18-329 reference(s)
The Jeener bottle
19-318 reference(s)
Tridimensional display of the evolution of a bidimensional binary cellular automaton with 1 white starting central point
20-315 reference(s)
Electron-positron scattering
21-308 reference(s)
Paradoxal Monument Valley at sunset
22-302 reference(s)
The generalized Ulam spiral displaying 100 numbers
23-297 reference(s)
Synthesis of bidimensional symmetrical geometrical textures
24-291 reference(s)
Double impossible staircase
25-289 reference(s)
Quark and gluon dynamics of the nucleon
26-283 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
27-283 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
28-279 reference(s)
Mountains at sunrise
29-277 reference(s)
Synthesis of bidimensional geometrical textures
30-273 reference(s)
Archimedes spirals
31-263 reference(s)
Botticelli anomaly on the Moon
32-262 reference(s)
An Archimedes spiral displaying 1000 numbers
33-256 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
34-256 reference(s)
Rotation about the X axis of the Lorenz attractor
35-255 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
36-253 reference(s)
Cauliflowers, seaweeds, shells,... with fog
37-246 reference(s)
Animation of bidimensional symmetrical geometrical textures
38-244 reference(s)
Kasner billiard: Time-dependent billiard (from negative curvatures to positive curvature)with one accelerated particle
39-243 reference(s)
Texture animation by means of the generalized Fourier filtering process
40-242 reference(s)
The Eratosthene sieve displaying 100x100 numbers
41-239 reference(s)
Electron diffraction
42-236 reference(s)
Tridimensional zoom in on the Mandelbrot set
43-231 reference(s)
Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
44-225 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)
45-221 reference(s)
Animation of bidimensional symmetrical geometrical textures
46-220 reference(s)
Evolution of a bidimensional binary cellular automaton with 1 white starting central point
47-215 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
48-214 reference(s)
Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
49-209 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
50-203 reference(s)
The erection of the Babel Tower
51-198 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)
52-198 reference(s)
N-body problem integration (N=2)displaying a perfect Keplerian orbit
53-196 reference(s)
The random walk of photons escaping the Sun
54-194 reference(s)
Along the border of the Mandelbrot set
55-190 reference(s)
Electron-neutrino scattering
56-188 reference(s)
The generalized Ulam spiral displaying 1024 numbers
57-187 reference(s)
Psychedelic hypercube
58-187 reference(s)
Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
59-186 reference(s)
The iterative process used to generate fractal mountains (16 iterations)
60-186 reference(s)
Artistic view of 128 quaternionic Julia sets -tridimensional cross-sections-
61-184 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
62-184 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (tridimensional computation)
63-181 reference(s)
Tridimensional fractal structure
64-178 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
65-177 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold in motion
66-175 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
67-174 reference(s)
Zoom in on mountains (with 3D clipping, bird's-eye view)
68-172 reference(s)
Earthquake with multifractal mountains
69-171 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
70-170 reference(s)
No Title 0037
71-170 reference(s)
No Title 0019
72-170 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold in motion
73-170 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
74-169 reference(s)
Synthesis of bidimensional symmetrical geometrical textures
75-168 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)
76-168 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
77-168 reference(s)
Rotation about X and Y axes of the Klein bottle
78-168 reference(s)
Alien
79-167 reference(s)
Bidimensional zoom in on the Z=Zeta(Z)iteration with display of the arguments
80-165 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)
81-163 reference(s)
Artistic view of the Hydrogen atom
82-159 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
83-158 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
84-153 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
85-153 reference(s)
Starship and black hole
86-153 reference(s)
A twisting rope
87-152 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
88-152 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-
89-151 reference(s)
Tridimensional display of the particle density of a bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
90-149 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
91-149 reference(s)
A tridimensional periodical fluid with display of velocity histograms
92-147 reference(s)
Zollner optical illusion
93-147 reference(s)
Waltzing snowy Rocky Mountains
94-147 reference(s)
The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
95-146 reference(s)
Hypercube
96-145 reference(s)
The first two iterations of the construction of the von Koch curve
97-144 reference(s)
Synthesis of tridimensional symmetrical geometrical textures
98-144 reference(s)
Along the border of the Mandelbrot set
99-143 reference(s)
The Eratosthene sieve displaying 10x10 numbers
100-142 reference(s)
Mandelbrot set in the sky
101-141 reference(s)
Artistic view of the Solar System viewed from a virtual planet
102-140 reference(s)
Animation of a sunrise on mountains
103-137 reference(s)
The eye of God -an artistic view of the Solar System-
104-136 reference(s)
Pan on a quaternionic Julia set -tridimensional cross-sections-
105-133 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
106-133 reference(s)
Happy birthday
107-132 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
108-132 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
109-132 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
110-130 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
111-128 reference(s)
Synthesis of tridimensional symmetrical geometrical textures
112-127 reference(s)
Morning sun pool
113-127 reference(s)
Zoom in on light clouds
114-127 reference(s)
256 elementary monodimensional binary cellular automata with 1 white starting point (bottom left is the automata number 0 when top right is the number 255)
115-127 reference(s)
Lorenz butterfly
116-126 reference(s)
Zoom in on a quaternionic Julia set -tridimensional cross-sections-
117-126 reference(s)
Peace
118-124 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
119-122 reference(s)
Monument Valley at sunrise
120-121 reference(s)
Impossible structure
121-120 reference(s)
16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
122-119 reference(s)
The irreversibility of the numerical bidimensional billiard
123-118 reference(s)
Animation of a natural form
124-118 reference(s)
An Archimedes spiral displaying 100 numbers
125-117 reference(s)
Bidimensional visualization of a bidimensional turbulent flow -sensitivity to initial conditions-
126-117 reference(s)
More and more craters on the Moon
127-116 reference(s)
Bidimensional domino effect
128-115 reference(s)




2-The 128 most referenced Pages:



1-demo_14
5480 reference(s)
2-AVirtualSpaceTimeTravelMachine.Ang
1862 reference(s)
3-An2000.01.Fra
1585 reference(s)
4-help.
869 reference(s)
5-AVirtualSpaceTimeTravelMachine.Fra
662 reference(s)
6-Commentaires_DefinitionTransformeeDeFourier.01
435 reference(s)
7-AVirtualSpaceTimeTravelMachine.Fra.FV
422 reference(s)
8-Galeries.01.vv
413 reference(s)
9-AVirtualSpaceTimeTravelMachine.Ang.FV
400 reference(s)
10-GenieLogiciel.01.Fra
396 reference(s)
11-Galerie_ArtisticCreation.FV
392 reference(s)
12-Galerie_DeterministicFractalGeometry.FV
386 reference(s)
13-Galerie_NewPictures.FV
383 reference(s)
14-ImagesDuVirtuel.01.Fra
378 reference(s)
15-Galerie_BestOf.FV
356 reference(s)
16-present.01.
352 reference(s)
17-Commentaires_SystemeSolaire.01
345 reference(s)
18-copyright.01.
341 reference(s)
19-ExpV_VirE.Fra
317 reference(s)
20-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
316 reference(s)
21-Galerie_GeneralitiesVisualization.FV
316 reference(s)
22-Galerie_QuantumMechanics.FV
310 reference(s)
23-Galerie_QuantumMechanics
300 reference(s)
24-AProposSite.01.Fra
297 reference(s)
25-BEST.20000905
293 reference(s)
26-mail.01.vv
292 reference(s)
27-hydrogene.61.K.
285 reference(s)
28-demo_14.FV
283 reference(s)
29-Fractal.01
283 reference(s)
30-Galerie_CelestialMechanics.FV
282 reference(s)
31-An2000.02.Fra
278 reference(s)
32-ImagesDuVirtuel.01.Fra.FV
277 reference(s)
33-ExpV_VirE.11
270 reference(s)
34-Galerie_NumberTheory.FV
267 reference(s)
35-Galerie_DeterministicChaos
267 reference(s)
36-Galerie_DeterministicFractalGeometry
264 reference(s)
37-Galerie_TextureSynthesis.FV
262 reference(s)
38-Commentaires_DefinitionComplexes.01
262 reference(s)
39-RemarquesCerveau.01
253 reference(s)
40-Galerie_NewPictures
252 reference(s)
41-Galerie_CelestialMechanics
252 reference(s)
42-Galerie_ArtAndScience.FV
249 reference(s)
43-Galerie_DeterministicChaos.FV
248 reference(s)
44-AQuoiServentLesMathematiques.01
246 reference(s)
45-Galerie_FluidMechanics.FV
242 reference(s)
46-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
239 reference(s)
47-Galerie_ParticleSystems.FV
237 reference(s)
48-Informations_AboutPicturesAnimationsAndFiles.01.Ang
236 reference(s)
49-BEST.20020828
230 reference(s)
50-Commentaires_EnsembleMandelbrotComplexe.01
228 reference(s)
51-AvantPropos.01.Ang
223 reference(s)
52-Galerie_SignalProcessing.FV
221 reference(s)
53-Galerie_ParticleSystems
220 reference(s)
54-RealNumbers.01.Fra
213 reference(s)
55-BEST.20000323
213 reference(s)
56-ExpV_VirE.01.Fra
212 reference(s)
57-Galerie_Astrophysics.FV
211 reference(s)
58-BEST.20010925
209 reference(s)
59-AnimFractal.01.
207 reference(s)
60-Commentaires_ModeleIsingBiDimensionnel.01
205 reference(s)
61-An2000.05.Fra
198 reference(s)
62-subject.01.
196 reference(s)
63-Commentaires_DefinitionQuaternions.01
194 reference(s)
64-JFC
191 reference(s)
65-MonumentValley.01.Ang
190 reference(s)
66-Commentaires_NKleinBottle.01
190 reference(s)
67-Autostereograms.01.
190 reference(s)
68-Informations_GoodNewsAndBadNews.01.Ang
188 reference(s)
69-ExpV_VirE.Ang
188 reference(s)
70-An2000.11.Fra
185 reference(s)
71-create.03.
182 reference(s)
72-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
181 reference(s)
73-Galerie_SensitivityToRoundingOffErrors.FV
179 reference(s)
74-ExpV_VirE.01.Ang
179 reference(s)
75-Ariane501.01.Fra
179 reference(s)
76-An2000.01.Ang
177 reference(s)
77-ArtScience.01
176 reference(s)
78-Galerie_GeneralitiesVisualization
175 reference(s)
79-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
175 reference(s)
80-Commentaires_ProblemeDesNCorps.01
174 reference(s)
81-VisSci_SciVis.01
173 reference(s)
82-Commentaires_ProblemeDesNAimants.01
172 reference(s)
83-Kepler.02.
171 reference(s)
84-Galerie_SalonDAutomne.FV
167 reference(s)
85-ArtOrdinateur.01
167 reference(s)
86-An2000.03.Fra
166 reference(s)
87-stereogra.01.c.
163 reference(s)
88-VisitesGaleriesEnfouies.01.Fra
163 reference(s)
89-Galerie_BestOf
163 reference(s)
90-An2000.04.Fra
162 reference(s)
91-Galerie_NumberTheory
161 reference(s)
92-Galerie_ArtisticCreation
161 reference(s)
93-Commentaires_KleinBottle.01
161 reference(s)
94-ManyChaos.01.Fra
160 reference(s)
95-Galerie_ArtAndScience
159 reference(s)
96-Commentaires_ModeleIsingTriDimensionnel.01
159 reference(s)
97-BEST.20000403
158 reference(s)
98-MonumentValley.01.Fra
157 reference(s)
99-DuReelAuVirtuel.01.Fra
157 reference(s)
100-catalogue.11
156 reference(s)
101-Galerie_FromTheInfinitelySmallToTheInfinitelyBig
156 reference(s)
102-Galerie_TextureSynthesis
155 reference(s)
103-Galerie_SignalProcessing
155 reference(s)
104-Galerie_SalonDAutomne
155 reference(s)
105-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
155 reference(s)
106-VisitesGaleriesEnfouies.01.Ang
154 reference(s)
107-Commentaires_SurfaceDeBoy.01
154 reference(s)
108-LOG_xiMc.11
151 reference(s)
109-An2000.06.Fra
151 reference(s)
110-Galerie_NewPictures.DIAPO.0001
149 reference(s)
111-Galerie_FluidMechanics
149 reference(s)
112-Commentaires_StructuresVivantesRecursives.01
149 reference(s)
113-ManyChaos.01.Ang
148 reference(s)
114-ImpossibleStructures.01.Fra
148 reference(s)
115-ImpossibleStructures.01.Ang
147 reference(s)
116-Commentaires_EnsembleMandelbrotQuaternion.01
147 reference(s)
117-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
146 reference(s)
118-Commentaires_RacinesNIemesUniteComplexes.01
146 reference(s)
119-Commentaires_EnsembleJuliaComplexe.01
146 reference(s)
120-BEST.20001205
146 reference(s)
121-Galerie_QuantumMechanics.DIAPO.0001
144 reference(s)
122-Vcatalogue.11
143 reference(s)
123-Galerie_SensitivityToRoundingOffErrors
143 reference(s)
124-infinity.01.vv
141 reference(s)
125-AvantPropos.01.Fra
141 reference(s)
126-relativity.01.
139 reference(s)
127-BEST.20000517
139 reference(s)
128-PatrimoineHumanite.02.Fra
138 reference(s)

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Copyright (c) Jean-François Colonna, 2003-2018.
Copyright (c) France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2003-2018.