Monthly Best Of on 01/28/2008




A pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')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

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(CMAP28 WWW site: this page was created on 01/28/2008 and last updated on 06/30/2018 14:03:36 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Bidimensional abstract texture with random anthropomorphic patterns
1-1046 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-758 reference(s)
Black dots (inside random white squares)on a square lattice
3-696 reference(s)
Hypercube
4-612 reference(s)
The random walk of photons escaping the Sun
5-594 reference(s)
Quark and gluon structure of a nucleon
6-332 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0) (bird's-eye view)
7-327 reference(s)
Artistic view of the prime numbers
8-286 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
9-262 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
10-259 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
11-251 reference(s)
Paradoxal Monument Valley at sunset
12-245 reference(s)
Animation of a sunrise on mountains
13-244 reference(s)
The random walk of photons escaping the Sun
14-242 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
15-241 reference(s)
N-body problem integration (N=3)with one yellow star and two planets (the red one being very heavy and the blue one being light)
16-236 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
17-211 reference(s)
The Lorenz attractor
18-210 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
19-200 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
20-196 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
21-196 reference(s)
From Pluto to the Sun -extrapolation 2- (non linear scales)
22-190 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
23-186 reference(s)
The Birth of the Universe
24-185 reference(s)
Along the border of the Mandelbrot set
25-182 reference(s)
The Möbius strip
26-181 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
27-179 reference(s)
Rotation about the X axis of the Lorenz attractor
28-177 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
29-175 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
30-165 reference(s)
Artistic view of the Big Bang
31-160 reference(s)
Quark and gluon dynamics of the nucleon
32-160 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)
33-160 reference(s)
From Pluto to the Sun (non linear scales)
34-160 reference(s)
Quark and gluon structure of a nucleon
35-155 reference(s)
The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
36-155 reference(s)
The irreversibility of the numerical bidimensional billiard
37-152 reference(s)
Quantum vacuum fluctuations
38-148 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
39-148 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
40-147 reference(s)
Autostereogram with an hidden volcano
41-146 reference(s)
Rotation about the X axis of the Lorenz attractor (1000 iterations), computed simultaneously on two different computers
42-144 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
43-140 reference(s)
Earthquake
44-138 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
45-137 reference(s)
Animation of bidimensional textures by means of the self-transformation of a fractal process
46-137 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
47-137 reference(s)
Bidimensional zoom in on the Verhulst dynamics
48-135 reference(s)
Self-transformation of a simple dynamical geometric texture
49-134 reference(s)
16 earth-like planets initially on the same keplerian trajectory
50-134 reference(s)
The iterative process used to generate bidimensional fractal fields (16 iterations)
51-134 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
52-132 reference(s)
2.pi rotation about the Y axis of a quaternionic Julia set with motion blur -tridimensional cross-section-
53-131 reference(s)
N-body problem integration (N=2)displaying a perfect Keplerian orbit
54-130 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
55-126 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
56-126 reference(s)
Rotation about the X axis of the Lorenz attractor
57-125 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed with 2 slightly different sets of initial conditions (sensitivity to initial conditions)
58-122 reference(s)
Jean-François Colonna
59-121 reference(s)
The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
60-120 reference(s)
Spreading of an epidemic -color changes by means of contacts-
61-119 reference(s)
Dynamics of the even distribution of 12 points on a sphere -an Icosahedron- by means of simulated annealing
62-119 reference(s)
2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
63-119 reference(s)
Autostereogram with an hidden volcano
64-118 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
65-118 reference(s)
Computation of the roots of Q^3=1 using Newton's method with translation along the third axis of the quaternionic space
66-117 reference(s)
Self-transformation of a simple dynamical geometric texture
67-117 reference(s)
Bidimensional fractal aggregates obtained by means of pasting during collisions with display of the velocity histogram
68-114 reference(s)
Isotropic random walk of 64 particles on a tridimensional square lattice
69-114 reference(s)
Cauliflowers, seaweeds, shells,... with fog
70-112 reference(s)
From the infinitely small to the infinitely big
71-111 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
72-108 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
73-107 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
74-106 reference(s)
Expansion of a gas inside a bidimensional circular box with display of velocity histograms
75-105 reference(s)
Artistic view of a quadridimensional Calabi-Yau manifold
76-105 reference(s)
16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
77-104 reference(s)
Synthesis of tridimensional symmetrical geometrical textures
78-104 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
79-104 reference(s)
Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
80-104 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
81-102 reference(s)
The random walk of photons escaping the Sun
82-102 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
83-101 reference(s)
Bidimensional domino effect
84-101 reference(s)
A variable Archimedes spiral displaying 1000 numbers
85-101 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)
86-101 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
87-101 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -gravity center of the 9 planets point of view-
88-100 reference(s)
The generalized Ulam spiral displaying 100 numbers
89-99 reference(s)
The non linear transformation of the coordinates in the Solar System
90-99 reference(s)
White Hole
91-97 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)
92-96 reference(s)
Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
93-95 reference(s)
A shell (Jeener surface 1)in motion
94-94 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
95-94 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
96-93 reference(s)
Particle collisions without energy loss in a tridimensional space with display of the velocity histogram
97-91 reference(s)
The Scream -a Tribute to Edvard Munch-
98-91 reference(s)
Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
99-91 reference(s)
Animation of bidimensional symmetrical geometrical textures
100-89 reference(s)
Along the border of the Mandelbrot set
101-88 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
102-88 reference(s)
Animation of a natural form
103-87 reference(s)
Autostereogram with an hidden ring and ghost bows
104-86 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)-sensitivity to initial conditions-
105-86 reference(s)
The tridimensional field defining the three coordinates of a tridimensional fractal manifold
106-85 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
107-85 reference(s)
Fractal diffusion front in a bidimensional medium obtained by means of identical interacting particles
108-84 reference(s)
The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
109-84 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)
110-83 reference(s)
A Tribute to Archimedes
111-82 reference(s)
The tridimensional field defining the 'Z' coordinate of a tridimensional twisted torus-like manifold
112-82 reference(s)
Animation of a natural form
113-81 reference(s)
Animation of bidimensional textures by means of the self-transformation of a fractal process
114-81 reference(s)
N-body problem integration (N=10)displaying the actual Solar System
115-81 reference(s)
Bidimensional visualization of a bidimensional turbulent flow -sensitivity to initial conditions-
116-81 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
117-80 reference(s)
No Title 0093
118-80 reference(s)
Earthquake with multifractal mountains
119-80 reference(s)
Rotation about X and Y axes of the Boy surface
120-79 reference(s)
A perfect bidimensional piston with following initial conditions: still piston, high temperature particles at left and low temperature particles at right, in a bidimensional box submitted to a vertical field of gravity
121-79 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)
122-79 reference(s)
Extended life game
123-79 reference(s)
From Mars to the Sun
124-78 reference(s)
Tridimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to a vertical field of gravity
125-77 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
126-77 reference(s)
Bidimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
127-77 reference(s)
From Pluto to the Sun -extrapolation 1- (non linear scales)
128-77 reference(s)




2-The 128 most referenced Pages:



1-demo_14
1751 reference(s)
2-AVirtualSpaceTimeTravelMachine.Ang
1020 reference(s)
3-An2000.01.Fra
921 reference(s)
4-help.
529 reference(s)
5-ImagesDuVirtuel.01.Fra
413 reference(s)
6-Galerie_GeneralitiesVisualization.FV
396 reference(s)
7-Fractal.01
391 reference(s)
8-FloatingPointNumbers.01.Fra
368 reference(s)
9-ExpV_VirE.11
350 reference(s)
10-Autostereograms.01.
350 reference(s)
11-subject.01.
346 reference(s)
12-AVirtualSpaceTimeTravelMachine.Fra
341 reference(s)
13-Stereogrammes_AutoStereogrammes.01
333 reference(s)
14-Galerie_NumberTheory.FV
333 reference(s)
15-Galerie_ArtisticCreation.FV
330 reference(s)
16-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
324 reference(s)
17-ImagesDuVirtuel.01.Fra.FV
322 reference(s)
18-AQuoiServentLesMathematiques.01
319 reference(s)
19-demo_14.FV
298 reference(s)
20-Informations_AboutPicturesAnimationsAndFiles.01.Ang
297 reference(s)
21-Galerie_Astrophysics.DIAPO.0001
296 reference(s)
22-copyright.01.
289 reference(s)
23-GenieLogiciel.01.Fra
282 reference(s)
24-FloatingPointNumbers.01.Ang
267 reference(s)
25-Galerie_QuantumMechanics.FV
265 reference(s)
26-AProposSite.01.Fra
263 reference(s)
27-ExpV_VirE.Fra
261 reference(s)
28-mail.01.vv
259 reference(s)
29-ExpV_VirE.21
253 reference(s)
30-Galerie_DeterministicFractalGeometry.FV
251 reference(s)
31-RealNumbers.01.Fra
242 reference(s)
32-Galerie_TextureSynthesis.FV
240 reference(s)
33-SurfaceProjector.01.Fra
239 reference(s)
34-present.01.
233 reference(s)
35-VisSci_SciVis.01
233 reference(s)
36-SurfaceProjector.01.Ang
230 reference(s)
37-Galerie_CelestialMechanics.FV
230 reference(s)
38-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
227 reference(s)
39-Informations_GoodNewsAndBadNews.01.Fra
226 reference(s)
40-Galerie_ParticleSystems.FV
223 reference(s)
41-ArtScience.11.Fra
223 reference(s)
42-AnimFractal.01.
222 reference(s)
43-AVirtualSpaceTimeTravelMachine.Ang.FV
220 reference(s)
44-AVirtualSpaceTimeTravelMachine.Fra.FV
219 reference(s)
45-ExpV_VirE.Ang
214 reference(s)
46-Galerie_DeterministicChaos.FV
213 reference(s)
47-Galerie_ArtAndScience.FV
210 reference(s)
48-ExpV_VirE.01.Fra
206 reference(s)
49-Commentaires_DefinitionTransformeeDeFourier.01
205 reference(s)
50-Galerie_NewPictures.FV
204 reference(s)
51-AvantPropos.01.Ang
204 reference(s)
52-create.03.
203 reference(s)
53-EnsembleDesGaleries.DIAPO.0001
203 reference(s)
54-VisSci_SciVis.02
201 reference(s)
55-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
200 reference(s)
56-Commentaires_EspaceLyapunovComplexe.01
200 reference(s)
57-Commentaires_DefinitionQuaternions.01
200 reference(s)
58-LOG_xiMc.11
197 reference(s)
59-Vcatalogue.11
190 reference(s)
60-Galerie_Astrophysics.DIAPO.0002
190 reference(s)
61-An2000.02.Fra
190 reference(s)
62-Commentaires_SystemeSolaire.01
189 reference(s)
63-Commentaires_DefinitionComplexes.01
187 reference(s)
64-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
186 reference(s)
65-VirtualChaos.01.Fra
184 reference(s)
66-ManyChaos.01.Fra
183 reference(s)
67-An2000.05.Fra
183 reference(s)
68-MathematiquesPhysiqueFractales.01
181 reference(s)
69-Galerie_SignalProcessing.FV
181 reference(s)
70-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
181 reference(s)
71-Commentaires_NKleinBottle.01
179 reference(s)
72-AQuoiServentLesMathematiques.03
178 reference(s)
73-ArtOrdinateur.01
177 reference(s)
74-EnsembleDesGaleries.DIAPO.0038
175 reference(s)
75-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
174 reference(s)
76-avirtualspacetimetravelmachine.ang
173 reference(s)
77-Kepler.02.
173 reference(s)
78-Informations_AboutPicturesAnimationsAndFiles.01.Fra
172 reference(s)
79-An2000.06.Fra
171 reference(s)
80-ArtScience.01
170 reference(s)
81-ExpV_VirE.01.Ang
168 reference(s)
82-DuModeleALImage.01.Fra
168 reference(s)
83-An2000.11.Fra
167 reference(s)
84-RemarquesCerveau.01
166 reference(s)
85-Galerie_NewPictures.DIAPO.0001
166 reference(s)
86-Commentaires_EnsembleMandelbrotComplexe.01
166 reference(s)
87-catalogue.11
163 reference(s)
88-An2000.04.Fra
162 reference(s)
89-An2000.01.Ang
162 reference(s)
90-Galerie_DeterministicChaos
158 reference(s)
91-Commentaires_SurfaceDeBoy.01
158 reference(s)
92-Commentaires_ModeleIsingBiDimensionnel.01
158 reference(s)
93-Galerie_QuantumMechanics
156 reference(s)
94-Galerie_CelestialMechanics
156 reference(s)
95-AvantPropos.01.Fra
156 reference(s)
96-Commentaires_ProblemeDesNCorps.01
155 reference(s)
97-infinity.01.vv
154 reference(s)
98-PerteDeLAssociativite.01
154 reference(s)
99-FaireDeLaRecherche.01.vv
154 reference(s)
100-hydrogene.61.K.
153 reference(s)
101-Galerie_FluidMechanics.FV
153 reference(s)
102-Galerie_NewPictures
152 reference(s)
103-Galerie_FluidMechanics.DIAPO.0001
152 reference(s)
104-Galerie_CollaborativeWorks..FV
152 reference(s)
105-Commentaires_Tore.01
152 reference(s)
106-Commentaires_RacinesTroisiemesUniteComplexes.01
152 reference(s)
107-MathematiquesEtCinematographe.01.vv
151 reference(s)
108-Commentaires_RacinesNIemesUniteComplexes.01
151 reference(s)
109-AQuoiServentLesMathematiques.02
151 reference(s)
110-MonumentValley.01.Ang
150 reference(s)
111-Galerie_QuantumMechanics.DIAPO.0001
150 reference(s)
112-Commentaires_EnsembleJuliaComplexe.01
150 reference(s)
113-ImpossibleStructures.01.Ang
149 reference(s)
114-Galerie_Astrophysics.DIAPO.0003
149 reference(s)
115-ManyChaos.01.Ang
147 reference(s)
116-Galerie_ArtisticCreation.DIAPO.0001
147 reference(s)
117-IllusionConnaissance.01
145 reference(s)
118-stereogra.01.c.
144 reference(s)
119-Galeries.01.vv
144 reference(s)
120-Galerie_SalonDAutomne.FV
144 reference(s)
121-Galerie_GeneralitiesVisualization
144 reference(s)
122-Commentaires_ProblemeDesNAimants.01
144 reference(s)
123-An2000.03.Fra
144 reference(s)
124-ScienceEtVirtuel.01.Fra
143 reference(s)
125-Galerie_BestOf.FV
143 reference(s)
126-Commentaires_Sphere.01
143 reference(s)
127-Commentaires_EnsembleMandelbrotQuaternion.01
143 reference(s)
128-Galerie_TextureSynthesis
142 reference(s)

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




Copyright (c) Jean-François Colonna, 2008-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2008-2018.