Monthly Best Of on 09/28/2009




A pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0) -tridimensional cross-section-

Jean-François COLONNA
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www.lactamme.polytechnique.fr

CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, École polytechnique, Institut Polytechnique de Paris, CNRS, France

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(CMAP28 WWW site: this page was created on 09/28/2009 and last updated on 11/14/2023 17:47:26 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Happy new year 2000
1-812 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-408 reference(s)		 The random walk of photons escaping the Sun
3-236 reference(s)		 The Lorenz attractor
4-218 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
5-206 reference(s)		 Intertwining
6-169 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
7-155 reference(s)		 Autostereogram with an hidden volcano
8-145 reference(s)
Quark and gluon structure of a nucleon
9-142 reference(s)		 Quark and gluon structure of a nucleon
10-129 reference(s)		 Electron-positron scattering
11-128 reference(s)		 Welcome aboard a Virtual Space-Time Travel Machine
12-103 reference(s)
Hypercube
13-101 reference(s)		 Artistic view of the prime numbers
14-96 reference(s)		 Autostereogram with an hidden volcano
15-95 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
16-95 reference(s)
Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
17-89 reference(s)		 Autostereogram with an hidden volcano
18-88 reference(s)		 From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
19-85 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
20-84 reference(s)
The generalized Ulam spiral
21-80 reference(s)		 Particles in a bidimensional box submitted to an attractive central field of gravity
22-79 reference(s)		 Psychedelic hypercube
23-75 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
24-68 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
25-66 reference(s)		 Artistic view of the Big Bang
26-64 reference(s)		 Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
27-64 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
28-62 reference(s)
Jean-François COLONNA (on 11/17/1994)with its fractal mountains
29-61 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
30-60 reference(s)		 Autostereogram with an hidden volcano
31-59 reference(s)		 LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
32-57 reference(s)
From Pluto to the Sun (non linear scales)
33-56 reference(s)		 The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
34-55 reference(s)		 Black dots (inside random white squares)on a square lattice
35-55 reference(s)		 The Birth of the Universe
36-53 reference(s)
Along the border of the Mandelbrot set
37-52 reference(s)		 True colors autostereogram of a fractal landscape
38-52 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
39-52 reference(s)		 From the infinitely small to the infinitely big
40-50 reference(s)
The Scream -a Tribute to Edvard Munch-
41-48 reference(s)		 Autostereogram with an hidden ring and ghost bows
42-46 reference(s)		 Autostereogram with an hidden volcano
43-46 reference(s)		 The random walk of photons escaping the Sun
44-45 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)
45-45 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
46-43 reference(s)		 16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
47-41 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
48-41 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
49-41 reference(s)		 Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
50-40 reference(s)		 Cliffs at sunset
51-40 reference(s)		 The random walk of photons escaping the Sun
52-39 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
53-39 reference(s)		 Intertwining
54-38 reference(s)		 The Möbius strip
55-38 reference(s)		 Rotation about the X axis of the Lorenz attractor
56-38 reference(s)
A shell (Jeener surface 1)in motion
57-38 reference(s)		 Along the border of the Mandelbrot set
58-37 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
59-37 reference(s)		 A tridimensional Möbius-like manifold defined by means of three tridimensional fields
60-36 reference(s)
Intertwining
61-35 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
62-35 reference(s)		 Intertwining
63-34 reference(s)		 The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
64-34 reference(s)
32 points on a trigonometric circle
65-34 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
66-34 reference(s)		 Intertwining
67-33 reference(s)		 An Archimedes spiral displaying 100 numbers
68-32 reference(s)
The Jeener-Klein triple bottle
69-31 reference(s)		 Autostereogram with an hidden volcano
70-30 reference(s)		 Alien
71-30 reference(s)		 The normal field of a fractal surface defined by means of three bidimensional fields
72-30 reference(s)
The generalized Ulam spiral displaying 1024 numbers
73-30 reference(s)		 The Eratosthene sieve displaying 100x100 numbers
74-30 reference(s)		 A set of 4x3 stereograms of a few Babel Towers
75-30 reference(s)		 Autostereogram of Monument Valley
76-30 reference(s)
A quaternionic Julia set -tridimensional cross-section-
77-30 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
78-28 reference(s)		 Isotropic random walk of 64 particles on a tridimensional square lattice
79-28 reference(s)		 A set of 4x3 stereograms of a few Monument Valleys at sunset
80-28 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
81-27 reference(s)		 Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
82-27 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
83-27 reference(s)		 Two multiplexed autostereograms by means of a pi/2 rotation
84-26 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
85-26 reference(s)		 The Solar System with a dark blue virtual planet -virtual planet point of view-
86-26 reference(s)		 The Möbius strip
87-26 reference(s)		 Tridimensional integration of the anisotropic gaussian Fourier filtering of a random field with a 2.pi rotation of the kernel
88-26 reference(s)
Untitled 0125
89-26 reference(s)		 A set of 4x3 stereograms of the quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
90-26 reference(s)		 The normal field of the Klein bottle
91-26 reference(s)		 Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
92-25 reference(s)
Mountains at sunrise
93-25 reference(s)		 The same bidimensional scalar field displayed with 4 different color palettes
94-25 reference(s)		 The 16 vertices of a 4-cube
95-25 reference(s)		 Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
96-25 reference(s)
The Lorenz attractor
97-25 reference(s)		 Tridimensional heterogeneous fractal structure in a tridimensional torus
98-25 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
99-25 reference(s)		 Volcano
100-25 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
101-25 reference(s)		 Intertwining
102-24 reference(s)		 A fractal surface (five iterations)defined by means of three bidimensional fields
103-24 reference(s)		 The generalized Ulam spiral displaying 100 numbers
104-24 reference(s)
Botticelli anomaly on the Moon
105-24 reference(s)		 2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
106-24 reference(s)		 Extended life game
107-24 reference(s)		 Intertwining based on the geometry of the sphere
108-24 reference(s)
The foggy Earth planet
109-24 reference(s)		 The Eratosthene sieve displaying 10x10 numbers
110-23 reference(s)		 An arbitrary surface (Jeener surface 2)
111-23 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
112-23 reference(s)
Tridimensional brownian motion -the colors used (magenta,red,yellow,green,cyan)are an increasing function of the time- and the 'external border' of its bidimensional projection -white-
113-23 reference(s)		 A tridimensional fractal structure
114-22 reference(s)		 The sum of all '780x575' pictures on 08/30/2009
115-22 reference(s)		 Recursive intertwining
116-22 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
117-22 reference(s)		 Cauliflowers, seaweeds, shells,... with fog
118-22 reference(s)		 Quaternionic shell fossil
119-22 reference(s)		 Synthesis of bidimensional textures by means of the self-transformation of a fractal process
120-22 reference(s)
Mountains and light clouds
121-22 reference(s)		 From Pluto to the Sun -extrapolation 2- (non linear scales)
122-22 reference(s)		 La Génèse (1974)
123-22 reference(s)		 Tridimensional visualization of a bidimensional turbulent flow
124-22 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
125-22 reference(s)		 Intertwining based on the geometry of a Möbius strip
126-22 reference(s)		 Archimedes spirals
127-22 reference(s)		 Quantum vacuum fluctuations
128-21 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
1134 reference(s)		 2-EnsembleDesGaleries.DIAPO.0446
1026 reference(s)
3-EnsembleDesGaleries.DIAPO.0445
691 reference(s)		 4-Galerie_ArtisticCreation.DIAPO.0120
686 reference(s)
5-AVirtualSpaceTimeTravelMachine.Ang
537 reference(s)		 6-An2000.01.Fra
483 reference(s)
7-EnsembleDesGaleries.DIAPO.0444
454 reference(s)		 8-Galerie_ArtisticCreation.DIAPO.0119
452 reference(s)
9-Galerie_GeneralitiesVisualization.FV
343 reference(s)		 10-help.
307 reference(s)
11-AQuoiServentLesMathematiques.01
296 reference(s)		 12-Galerie_ArtisticCreation.DIAPO.0118
295 reference(s)
13-EnsembleDesGaleries.DIAPO.0443
294 reference(s)		 14-FloatingPointNumbers.01.Fra
291 reference(s)
15-mail.01.vv
290 reference(s)		 16-GenieLogiciel_VisualisationScientifique.01.vv
286 reference(s)
17-Fractal.01
281 reference(s)		 18-FloatingPointNumbers.01.Ang
278 reference(s)
19-SurfaceProjector.01.Ang
276 reference(s)		 20-AProposSite.01.Fra
276 reference(s)
21-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
271 reference(s)		 22-Galerie_TextureSynthesis.FV
266 reference(s)
23-copyright.01.
262 reference(s)		 24-Galerie_ArtisticCreation.FV
261 reference(s)
25-Galerie_DeterministicFractalGeometry.FV
252 reference(s)		 26-Stereogrammes_AutoStereogrammes.01
250 reference(s)
27-catalogue.11
249 reference(s)		 28-Informations_AboutPicturesAnimationsAndFiles.01.Ang
248 reference(s)
29-ExpV_VirE.11
245 reference(s)		 30-Galerie_ParticleSystems.FV
241 reference(s)
31-Galerie_ArtAndScience.FV
240 reference(s)		 32-ImagesDuVirtuel.01.Fra.FV
239 reference(s)
33-SurfaceProjector.01.Fra
238 reference(s)		 34-ImagesDuVirtuel.01.Fra
235 reference(s)
35-AVirtualSpaceTimeTravelMachine.Fra
234 reference(s)		 36-Autostereograms.01.
233 reference(s)
37-Galerie_CelestialMechanics.FV
227 reference(s)		 38-RealNumbers.01.Fra
220 reference(s)
39-present.01.
219 reference(s)		 40-GenieLogiciel.01.Fra
215 reference(s)
41-ExpV_VirE.Fra
212 reference(s)		 42-Vcatalogue.11
211 reference(s)
43-EntrelacsIntertwinings.01.Ang
209 reference(s)		 44-Commentaires_NKleinBottle.01
209 reference(s)
45-AQuoiServentLesMathematiques.03
209 reference(s)		 46-An2000.05.Fra
208 reference(s)
47-Galerie_NumberTheory.FV
207 reference(s)		 48-AnimFractal.01.
203 reference(s)
49-EntrelacsIntertwinings.01.Fra
202 reference(s)		 50-Informations_AboutPicturesAnimationsAndFiles.01.Fra
200 reference(s)
51-Kepler.02.
199 reference(s)		 52-Galerie_QuantumMechanics.FV
199 reference(s)
53-Galerie_BestOf.FV
198 reference(s)		 54-AVirtualSpaceTimeTravelMachine.Ang.FV
198 reference(s)
55-infinity.02.vv
197 reference(s)		 56-Galeries.01.vv
197 reference(s)
57-Galerie_ArtisticCreation.DIAPO.0117
195 reference(s)		 58-EnsembleDesGaleries.DIAPO.0442
193 reference(s)
59-An2000.02.Fra
193 reference(s)		 60-subject.01.
191 reference(s)
61-Galerie_DeterministicChaos.FV
191 reference(s)		 62-ExpV_VirE.21
191 reference(s)
63-Galerie_NewPictures.FV
189 reference(s)		 64-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
188 reference(s)
65-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
188 reference(s)		 66-AVirtualSpaceTimeTravelMachine.Fra.FV
187 reference(s)
67-Commentaires_SystemeSolaire.01
182 reference(s)		 68-Galerie_SensitivityToRoundingOffErrors.FV
181 reference(s)
69-ArtOrdinateur.01
180 reference(s)		 70-hydrogene.61.K.
179 reference(s)
71-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
179 reference(s)		 72-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
177 reference(s)
73-An2000.01.Ang
177 reference(s)		 74-ManyChaos.01.Fra
176 reference(s)
75-Galerie_SignalProcessing.FV
176 reference(s)		 76-Galerie_Astrophysics.FV
175 reference(s)
77-Galerie_AnthropomorphicPatterns.FV
175 reference(s)		 78-Commentaires_DefinitionTransformeeDeFourier.01
175 reference(s)
79-MonumentValley.01.Ang
174 reference(s)		 80-Commentaires_EnsembleMandelbrotComplexe.01
174 reference(s)
81-An2000.06.Fra
174 reference(s)		 82-An2000.03.Fra
174 reference(s)
83-RemarquesCerveau.01
172 reference(s)		 84-ExpV_VirE.01.Fra
172 reference(s)
85-Commentaires_DefinitionComplexes.01
172 reference(s)		 86-VirtualChaos.01.Fra
171 reference(s)
87-MonumentValley.01.Fra
170 reference(s)		 88-MonodimensionalCellularAutomata.01.Fra
170 reference(s)
89-MonodimensionalCellularAutomata.01.Ang
170 reference(s)		 90-Commentaires_DefinitionQuaternions.01
170 reference(s)
91-AQuoiServentLesMathematiques.02
170 reference(s)		 92-infinity.01.vv
169 reference(s)
93-Galerie_SalonDAutomne.FV
169 reference(s)		 94-Galerie_NewPictures
169 reference(s)
95-Galerie_DeterministicFractalGeometry
169 reference(s)		 96-Commentaires_EspaceLyapunovComplexe.01
169 reference(s)
97-Galerie_CollaborativeWorks..FV
168 reference(s)		 98-An2000.04.Fra
168 reference(s)
99-MathematiquesPhysiqueFractales.01
167 reference(s)		 100-Galerie_FluidMechanics.FV
167 reference(s)
101-AvantPropos.01.Ang
166 reference(s)		 102-PerteDeLAssociativite.01
165 reference(s)
103-Galerie_CelestialMechanics
165 reference(s)		 104-Informations_GoodNewsAndBadNews.01.Fra
164 reference(s)
105-Commentaires_Tore.01
164 reference(s)		 106-Commentaires_ModeleIsingBiDimensionnel.01
164 reference(s)
107-ExpV_VirE.Ang
163 reference(s)		 108-ExpV_VirE.01.Ang
163 reference(s)
109-Commentaires_RacinesTroisiemesUniteComplexes.01
163 reference(s)		 110-Commentaires_ProblemeDesNAimants.01
163 reference(s)
111-ArtScience.01
163 reference(s)		 112-An2000.11.Fra
163 reference(s)
113-Galerie_DeterministicChaos
162 reference(s)		 114-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
162 reference(s)
115-ManyChaos.01.Ang
161 reference(s)		 116-Galerie_QuantumMechanics
161 reference(s)
117-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
161 reference(s)		 118-Commentaires_Sphere.01
161 reference(s)
119-Commentaires_EnsembleJuliaComplexe.01
161 reference(s)		 120-Commentaires_DoubleJeenerBottle.01
161 reference(s)
121-Commentaires_Cylindre.01
161 reference(s)		 122-PatrimoineHumanite.02.Fra
160 reference(s)
123-Commentaires_EnsembleJuliaQuaternion.01
160 reference(s)		 124-ArtScience.11.Ang
160 reference(s)
125-VisSci_SciVis.01
159 reference(s)		 126-Galerie_SalonDAutomne
159 reference(s)
127-Galerie_GeneralitiesVisualization
159 reference(s)		 128-EnsembleDesGaleries.DIAPO.0001
159 reference(s)

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




Copyright © Jean-François COLONNA, 2009-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2009-2023.