Monthly Best Of on 10/29/2004




A pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-

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

[Site Map, Help and Search [Plan du Site, Aide et Recherche]]
[The Y2K Bug [Le bug de l'an 2000]]
[Real Numbers don't exist in Computers and Floating Point Computations aren't safe. [Les Nombres Réels n'existent pas dans les Ordinateurs et les Calculs Flottants ne sont pas sûrs.]]
[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 10/29/2004 and last updated on 10/03/2024 17:01:17 -CEST-)




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
1-1559 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
2-1361 reference(s)		Psychedelic hypercube
3-1167 reference(s)		Hypercube
4-1122 reference(s)
N-body problem integration (N=9)with a simultaneous 2.pi rotation of the observer
5-1076 reference(s)		Welcome aboard A VIRTUAL SPACE-TIME TRAVEL MACHINE
6-822 reference(s)		Happy birthday
7-685 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
8-685 reference(s)
Artistic view of the prime numbers
9-616 reference(s)		Black dots (inside random white squares)on a square lattice
10-611 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
11-606 reference(s)		Fractal synthesis of mountains with vegetation and stormy clouds
12-537 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)
13-536 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
14-499 reference(s)		The random walk of photons escaping the Sun
15-486 reference(s)		Quark and gluon structure of a nucleon
16-459 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
17-437 reference(s)		Light clouds
18-435 reference(s)		From Pluto to the Sun (non linear scales)
19-430 reference(s)		The Lorenz attractor
20-430 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
21-428 reference(s)		Mountains at sunrise
22-413 reference(s)		Vibrations 0001
23-364 reference(s)		Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
24-363 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
25-338 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
26-337 reference(s)		Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
27-318 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
28-311 reference(s)
A shell (Jeener surface 1)in motion
29-301 reference(s)		Electron-positron scattering
30-288 reference(s)		Autostereogram with an hidden volcano
31-285 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
32-284 reference(s)
Artistic view of the Big Bang
33-281 reference(s)		Along the border of the Mandelbrot set
34-281 reference(s)		Alien
35-268 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
36-268 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
37-266 reference(s)		Synthesis of tridimensional textures by means of a fractal process
38-266 reference(s)		Cauliflowers, seaweeds, shells,... with fog
39-264 reference(s)		Synthesis of bidimensional symmetrical geometrical textures
40-264 reference(s)
Quark and gluon dynamics of the nucleon
41-263 reference(s)		Triple impossible staircase
42-263 reference(s)		The Scream -a Tribute to Edvard Munch-
43-261 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
44-252 reference(s)
Electron diffraction
45-251 reference(s)		Animation of a natural form
46-250 reference(s)		Quark and gluon structure of a nucleon
47-246 reference(s)		Mountains and light cloud dynamics -this sequence being periodical-
48-245 reference(s)
Animation of a sunrise on mountains
49-238 reference(s)		Autostereogram with an hidden ring and ghost bows
50-237 reference(s)		Tridimensional zoom in on the Mandelbrot set
51-234 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
52-230 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
53-228 reference(s)		2 identical grey squares moving over a grey scale
54-228 reference(s)		The Birth of the Universe
55-228 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
56-222 reference(s)
Carnival
57-221 reference(s)		The generalized Ulam spiral displaying 100 numbers
58-219 reference(s)		A Jeener-Möbius tridimensional manifold
59-219 reference(s)		The Klein bottle
60-219 reference(s)
Autostereogram with an hidden volcano
61-216 reference(s)		Tridimensional Mondrian -a Tribute to Piet Mondrian-
62-215 reference(s)		A Jeener-Möbius tridimensional manifold
63-213 reference(s)		An Archimedes spiral displaying 1000 numbers
64-212 reference(s)
The Eratosthene sieve displaying 100x100 numbers
65-207 reference(s)		Botticelli anomaly on the Moon
66-204 reference(s)		Carnival in motion
67-204 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
68-194 reference(s)
Happy new year 2000
69-191 reference(s)		Zollner optical illusion
70-191 reference(s)		Brownian motion of a few heavy slow particles inside a gaz of fast light particles
71-190 reference(s)		Electron-neutrino scattering
72-190 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
73-190 reference(s)		Voronoi diagrams
74-186 reference(s)		A twisting rope
75-186 reference(s)		Fractal diffusion front in a bidimensional medium obtained by means of identical interacting particles
76-186 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
77-184 reference(s)		Texture animation by means of the generalized Fourier filtering process
78-184 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
79-183 reference(s)		Jean-François COLONNA
80-182 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
81-180 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
82-179 reference(s)		Archimedes spirals
83-179 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
84-175 reference(s)
Snowy multifractal mountains
85-175 reference(s)		Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
86-175 reference(s)		Animation of a natural form
87-173 reference(s)		The generalized Ulam spiral displaying 1024 numbers
88-172 reference(s)
Cracks
89-172 reference(s)		Synthesis of tridimensional symmetrical geometrical textures
90-171 reference(s)		La Génèse (1974)
91-169 reference(s)		Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
92-168 reference(s)
Foggy Brittany
93-168 reference(s)		Artistic view of the interpolation between the Jeener-Klein quintuple bottle and the Bonan-Jeener-Klein triple bottle
94-167 reference(s)		Artistic view of the Bonan-Jeener-Klein triple bottle
95-166 reference(s)		Autostereogram with an hidden volcano
96-165 reference(s)
The erection of the Babel Tower
97-165 reference(s)		Zoom in on mountains (with 3D clipping, bird's-eye view)
98-165 reference(s)		The Jeener-Klein triple bottle
99-165 reference(s)		Tridimensional fractal structure
100-163 reference(s)
N-body problem integration (N=2)displaying a perfect Keplerian orbit
101-161 reference(s)		Interpolation between the Jeener-Klein quintuple bottle and the Bonan-Jeener-Klein triple bottle
102-161 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
103-160 reference(s)		Fractal Brittany
104-160 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)
105-159 reference(s)		The iterative process used to generate fractal mountains (16 iterations)
106-158 reference(s)		The Jeener-Klein quintuple bottle
107-158 reference(s)		Untitled 0040
108-157 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
109-156 reference(s)		Tridimensional visualization of a bidimensional turbulent flow
110-156 reference(s)		Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
111-155 reference(s)		Voronoi diagram
112-154 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
113-154 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)
114-153 reference(s)		Rotation about the X axis of the Lorenz attractor
115-151 reference(s)		From Pluto to the Sun -extrapolation 2- (non linear scales)
116-150 reference(s)
Synthesis of bidimensional geometrical textures
117-150 reference(s)		The first two iterations of the construction of the von Koch curve
118-149 reference(s)		The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
119-147 reference(s)		Jean-Francois COLONNA meets Georgii Fedeorovitch Voronoi (non euclidian distance)
120-146 reference(s)
Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
121-145 reference(s)		The random walk of photons escaping the Sun
122-144 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
123-143 reference(s)		Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
124-142 reference(s)
Artistic view of 128 quaternionic Julia sets -tridimensional cross-sections-
125-141 reference(s)		Tridimensional domino effect
126-140 reference(s)		Zoom in on light clouds
127-139 reference(s)		Synthesis of tridimensional textures by means of a fractal process and of a fourth degree Verhulst-like dynamics
128-137 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
4419 reference(s)		2-An2000.01.Fra
3137 reference(s)
3-Galerie_GeneralitiesVisualization.FV
2029 reference(s)		4-AVirtualSpaceTimeTravelMachine.Ang
1759 reference(s)
5-Galerie_CelestialMechanics.FV
1577 reference(s)		6-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
1092 reference(s)
7-Galerie_QuantumMechanics.FV
1040 reference(s)		8-help.
981 reference(s)
9-AVirtualSpaceTimeTravelMachine.Fra
720 reference(s)		10-Galerie_ArtisticCreation.FV
682 reference(s)
11-Galerie_BestOf.FV
617 reference(s)		12-Informations_AboutPicturesAnimationsAndFiles.01.Ang
524 reference(s)
13-Galerie_DeterministicFractalGeometry.FV
492 reference(s)		14-Commentaires_SystemeSolaire.01
489 reference(s)
15-copyright.01.
460 reference(s)		16-Galerie_ParticleSystems.FV
454 reference(s)
17-mail.01.vv
446 reference(s)		18-BEST.20000905
443 reference(s)
19-AVirtualSpaceTimeTravelMachine.Ang.FV
420 reference(s)		20-Galeries.01.vv
417 reference(s)
21-present.01.
416 reference(s)		22-demo_14.FV
412 reference(s)
23-FloatingPointNumbers.01.Ang
402 reference(s)		24-Galerie_NumberTheory.FV
391 reference(s)
25-Galerie_ArtAndScience.FV
388 reference(s)		26-ExpV_VirE.11
388 reference(s)
27-Stereogrammes_AutoStereogrammes.01
379 reference(s)		28-Fractal.01
372 reference(s)
29-ExpV_VirE.Fra
370 reference(s)		30-GenieLogiciel.01.Fra
363 reference(s)
31-AVirtualSpaceTimeTravelMachine.Fra.FV
358 reference(s)		32-FloatingPointNumbers.01.Fra
346 reference(s)
33-AProposSite.01.Fra
343 reference(s)		34-Galerie_DeterministicChaos.FV
341 reference(s)
35-Galerie_NewPictures.DIAPO.0001
338 reference(s)		36-Galerie_NewPictures.FV
331 reference(s)
37-ImagesDuVirtuel.01.Fra
330 reference(s)		38-Galerie_GeneralitiesVisualization.DIAPO.0001
327 reference(s)
39-hydrogene.61.K.
315 reference(s)		40-Vcatalogue.11
315 reference(s)
41-RealNumbers.01.Fra
305 reference(s)		42-Galerie_TextureSynthesis.FV
304 reference(s)
43-BEST.20040629
300 reference(s)		44-BEST.20010925
293 reference(s)
45-Galerie_SensitivityToRoundingOffErrors.FV
289 reference(s)		46-ImagesDuVirtuel.01.Fra.FV
286 reference(s)
47-Galerie_GeneralitiesVisualization.DIAPO.0002
282 reference(s)		48-AQuoiServentLesMathematiques.01
282 reference(s)
49-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
281 reference(s)		50-Galerie_FluidMechanics.FV
280 reference(s)
51-Commentaires_DefinitionTransformeeDeFourier.01
277 reference(s)		52-MOSA.JFC.F1.F2.20031207
273 reference(s)
53-Galerie_DeterministicChaos
271 reference(s)		54-MOSA.LYAP.33.10000.20031207
269 reference(s)
55-LOG_xiMc.11
265 reference(s)		56-Galerie_GeneralitiesVisualization.DIAPO.0003
262 reference(s)
57-An2000.02.Fra
262 reference(s)		58-Galerie_ParticleSystems
261 reference(s)
59-Commentaires_ProblemeDesNCorps.01
260 reference(s)		60-Galerie_SignalProcessing.FV
259 reference(s)
61-Galerie_Astrophysics.FV
259 reference(s)		62-BEST.20020828
251 reference(s)
63-MOSA.PAYS.u9.M.20031207
250 reference(s)		64-Galerie_GeneralitiesVisualization.DIAPO.0004
250 reference(s)
65-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
250 reference(s)		66-AnimFractal.01.
248 reference(s)
67-subject.01.
247 reference(s)		68-Autostereograms.01.
247 reference(s)
69-BEST.20030327
245 reference(s)		70-AvantPropos.01.Ang
245 reference(s)
71-ExpV_VirE.Ang
244 reference(s)		72-Commentaires_DefinitionQuaternions.01
244 reference(s)
73-Kepler.02.
243 reference(s)		74-VisitesGaleriesEnfouies.01.Ang
242 reference(s)
75-Ariane501.01.Fra
242 reference(s)		76-catalogue.11
241 reference(s)
77-Galerie_Astrophysics.DIAPO.0001
240 reference(s)		78-Commentaires_DefinitionComplexes.01
240 reference(s)
79-RemarquesCerveau.01
237 reference(s)		80-BEST.20000323
237 reference(s)
81-Commentaires_NKleinBottle.01
234 reference(s)		82-VirtualChaos.01.Fra
231 reference(s)
83-An2000.05.Fra
231 reference(s)		84-Galerie_SalonDAutomne.FV
230 reference(s)
85-Galerie_CelestialMechanics
230 reference(s)		86-create.03.
228 reference(s)
87-Galerie_GeneralitiesVisualization.DIAPO.0005
228 reference(s)		88-BEST.20030604
228 reference(s)
89-BEST.20040127
227 reference(s)		90-ExpV_VirE.01.Fra
226 reference(s)
91-BEST.20031126
226 reference(s)		92-BEST.20030822
226 reference(s)
93-stereogra.01.c.
225 reference(s)		94-Commentaires_ModeleIsingBiDimensionnel.01
225 reference(s)
95-Galerie_GeneralitiesVisualization
223 reference(s)		96-Galerie_FluidMechanics.DIAPO.0001
223 reference(s)
97-Commentaires_ProblemeDesNAimants.01
223 reference(s)		98-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0001
222 reference(s)
99-Galerie_NewPictures.DIAPO.0002
222 reference(s)		100-Commentaires_JeenerMobiusManifold.01
222 reference(s)
101-Commentaires_EspaceLyapunovComplexe.01
221 reference(s)		102-Informations_GoodNewsAndBadNews.01.Ang
220 reference(s)
103-Galerie_QuantumMechanics
220 reference(s)		104-ExpV_VirE.01.Ang
220 reference(s)
105-Galerie_DeterministicFractalGeometry
218 reference(s)		106-Commentaires_RacinesNIemesUniteComplexes.01
217 reference(s)
107-An2000.01.Ang
217 reference(s)		108-Commentaires_EnsembleMandelbrotComplexe.01
214 reference(s)
109-Galerie_DeterministicFractalGeometry.DIAPO.0001
213 reference(s)		110-Galerie_ArtisticCreation.DIAPO.0001
213 reference(s)
111-Galerie_BestOf.DIAPO.0001
212 reference(s)		112-ArtScience.01
212 reference(s)
113-Galerie_Astrophysics.DIAPO.0002
211 reference(s)		114-VisSci_SciVis.01
209 reference(s)
115-Galerie_NumberTheory.DIAPO.0001
209 reference(s)		116-Galerie_FluidMechanics.DIAPO.0002
209 reference(s)
117-An2000.06.Fra
208 reference(s)		118-Galerie_QuantumMechanics.DIAPO.0001
207 reference(s)
119-Galerie_NewPictures.DIAPO.0004
207 reference(s)		120-Galerie_NewPictures.DIAPO.0003
207 reference(s)
121-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
207 reference(s)		122-Galerie_TextureSynthesis.DIAPO.0001
205 reference(s)
123-Galerie_GeneralitiesVisualization.DIAPO.0008
205 reference(s)		124-Galerie_GeneralitiesVisualization.DIAPO.0007
205 reference(s)
125-Galerie_DeterministicChaos.DIAPO.0001
205 reference(s)		126-An2000.04.Fra
205 reference(s)
127-infinity.01.vv
203 reference(s)		128-Galerie_ParticleSystems.DIAPO.0001
203 reference(s)

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




Copyright © Jean-François COLONNA, 2004-2024.
Copyright © France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2004-2024.