Monthly Best Of on 12/28/2008




A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) -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

[Site Map, Help and Search [Plan du Site, Aide et Recherche]]
[The Y2K bug [Le bug de l'an 2000]]
[Do you believe that Real Numbers exist for a computer and that floating point computations are safe?]
[Please, visit A Virtual Machine for Exploring Space-Time and Beyond, the place where you can find thousands of pictures and animations between Art and Science]
(CMAP28 WWW site: this page was created on 12/28/2008 and last updated on 04/15/2019 11:10:42 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The random walk of photons escaping the Sun
1-697 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-603 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-245 reference(s)		 Paradoxal Monument Valley at sunset
4-208 reference(s)
Black dots (inside random white squares)on a square lattice
5-206 reference(s)		 Quark and gluon structure of a nucleon
6-198 reference(s)		 The random walk of photons escaping the Sun
7-197 reference(s)		 Foggy Babel Tower -a tribute to Brueghel the Elder-
8-194 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
9-159 reference(s)		 The Lorenz attractor
10-148 reference(s)		 High temperature particles in a bidimensional box submitted to a vertical field of gravity
11-147 reference(s)		 Autostereogram with an hidden ring and ghost bows
12-146 reference(s)
Autostereogram with an hidden volcano
13-146 reference(s)		 The Scream -a Tribute to Edvard Munch-
14-140 reference(s)		 Particles in a bidimensional box submitted to a repulsive central field of gravity
15-139 reference(s)		 Particles in a bidimensional box submitted to an attractive central field of gravity
16-138 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
17-137 reference(s)		 Artistic view of the prime numbers
18-132 reference(s)		 From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
19-128 reference(s)		 No Title 0031
20-117 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
21-117 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
22-112 reference(s)		 Perfect impact between 2 particles (yellow and blue)-display with respect of the gravity center (white particle)-
23-110 reference(s)		 Hypercube
24-104 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
25-98 reference(s)		 Synthesis of bidimensional textures by means of the self-transformation of a fractal process
26-93 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
27-92 reference(s)		 Mountains at sunrise
28-91 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
29-91 reference(s)		 No Title 0058
30-90 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)
31-89 reference(s)		 From Pluto to the Sun (non linear scales)
32-87 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
33-87 reference(s)		 Autostereogram with an hidden volcano
34-85 reference(s)		 Intertwining
35-81 reference(s)		 Quark and gluon structure of a nucleon
36-81 reference(s)
Quark and gluon dynamics of the nucleon
37-80 reference(s)		 Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
38-78 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
39-76 reference(s)		 Internet
40-75 reference(s)
From Pluto to the Sun
41-75 reference(s)		 Self-transformation of an arbitrary geometrical texture
42-73 reference(s)		 No Title 0084
43-73 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
44-72 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
45-71 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
46-70 reference(s)		 Two alternative monodimensional 'quasi-continuous' cellular automata
47-68 reference(s)		 Autostereogram with an hidden volcano
48-66 reference(s)
Synthesis of bidimensional textures by means of a fractal process
49-65 reference(s)		 An elementary monodimensional binary cellular automaton -110- with 49 white starting points -on the bottom line-
50-65 reference(s)		 N-dimensional random structure
51-64 reference(s)		 Voronoi diagrams
52-63 reference(s)
Jean-François Colonna
53-62 reference(s)		 From Pluto to the Sun -extrapolation 2- (non linear scales)
54-61 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
55-61 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
56-61 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
57-60 reference(s)		 Vibrations 0001
58-59 reference(s)		 Along the border of the Mandelbrot set
59-59 reference(s)		 The random walk of photons escaping the Sun
60-59 reference(s)
Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
61-59 reference(s)		 True colors autostereogram of a fractal landscape
62-59 reference(s)		 From Pluto to the Sun -extrapolation 1- (non linear scales)
63-59 reference(s)		 Autostereogram with an hidden volcano and an animated disguise texture
64-58 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
65-57 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
66-57 reference(s)		 The Eratosthene sieve displaying 100x100 numbers
67-56 reference(s)		 Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
68-56 reference(s)
Earthquake with multifractal mountains
69-56 reference(s)		 The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
70-55 reference(s)		 The Birth of the Universe
71-55 reference(s)		 The foggy Earth planet
72-55 reference(s)
Botticelli anomaly on the Moon
73-54 reference(s)		 Vibrations 0003
74-53 reference(s)		 Electron-positron scattering
75-53 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
76-52 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
77-52 reference(s)		 Artistic view of a quadridimensional Calabi-Yau manifold
78-52 reference(s)		 Artistic view of the Big Bang
79-51 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)
80-51 reference(s)
A quaternionic Julia set -tridimensional cross-section-
81-51 reference(s)		 Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
82-50 reference(s)		 The Möbius strip
83-49 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
84-48 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
85-48 reference(s)		 Rotation about the X axis of the Lorenz attractor
86-48 reference(s)		 The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
87-46 reference(s)		 Self-transformation of an arbitrary geometrical texture
88-45 reference(s)
Animation of a sunrise on mountains
89-45 reference(s)		 Tridimensional fractal structure
90-44 reference(s)		 24 evenly distributed points on a sphere by means of simulated annealing
91-43 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-
92-43 reference(s)
The first two iterations of the construction of the von Koch curve
93-42 reference(s)		 An interpolation between a cylinder and a torus
94-42 reference(s)		 White Hole
95-41 reference(s)		 The irreversibility of the numerical bidimensional billiard
96-40 reference(s)
Quantum vacuum fluctuations
97-39 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
98-39 reference(s)		 Animation of a natural form
99-39 reference(s)		 Cauliflowers, seaweeds, shells,... with fog
100-39 reference(s)
Earthquake
101-39 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
102-39 reference(s)		 The Lorenz attractor
103-39 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
104-38 reference(s)
Bidimensional abstract texture with random anthropomorphic patterns
105-38 reference(s)		 The generalized Ulam spiral displaying 100 numbers
106-38 reference(s)		 Waltzing Monument Valley
107-38 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)
108-38 reference(s)
Alien
109-37 reference(s)		 N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)-sensitivity to initial conditions-
110-37 reference(s)		 A shell (Jeener surface 1)in motion
111-37 reference(s)		 Animation of a natural form
112-36 reference(s)
The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
113-36 reference(s)		 Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
114-36 reference(s)		 Intertwining based on the geometry of the sphere
115-36 reference(s)		 The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
116-36 reference(s)
Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
117-35 reference(s)		 Electron diffraction
118-35 reference(s)		 Quantum vacuum fluctuation dynamics
119-34 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
120-34 reference(s)
No Title 0056
121-34 reference(s)		 The generalized Ulam spiral displaying 1024 numbers
122-34 reference(s)		 Dynamics of archimedian mountains (bird's-eye view)
123-34 reference(s)		 The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
124-34 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
125-34 reference(s)		 Autostereogram with an hidden volcano
126-33 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
127-33 reference(s)		 Bidimensional domino effect
128-33 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
1107 reference(s)		 2-AVirtualSpaceTimeTravelMachine.Ang
455 reference(s)
3-An2000.01.Fra
352 reference(s)		 4-help.
276 reference(s)
5-Fractal.01
233 reference(s)		 6-Galerie_ArtisticCreation.FV
216 reference(s)
7-Galerie_NumberTheory.FV
210 reference(s)		 8-EnsembleDesGaleries.DIAPO.0001
208 reference(s)
9-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
196 reference(s)		 10-AProposSite.01.Fra
179 reference(s)
11-FloatingPointNumbers.01.Fra
178 reference(s)		 12-ImagesDuVirtuel.01.Fra
174 reference(s)
13-EnsembleDesGaleries.DIAPO.0002
174 reference(s)		 14-Galerie_GeneralitiesVisualization.FV
173 reference(s)
15-copyright.01.
169 reference(s)		 16-SurfaceProjector.01.Ang
169 reference(s)
17-AQuoiServentLesMathematiques.01
168 reference(s)		 18-Galerie_DeterministicFractalGeometry.FV
165 reference(s)
19-ExpV_VirE.11
163 reference(s)		 20-Autostereograms.01.
162 reference(s)
21-FloatingPointNumbers.01.Ang
158 reference(s)		 22-mail.01.vv
157 reference(s)
23-Stereogrammes_AutoStereogrammes.01
156 reference(s)		 24-Informations_AboutPicturesAnimationsAndFiles.01.Ang
149 reference(s)
25-present.01.
148 reference(s)		 26-EnsembleDesGaleries.DIAPO.0003
146 reference(s)
27-ImagesDuVirtuel.01.Fra.FV
143 reference(s)		 28-Galerie_ParticleSystems.FV
143 reference(s)
29-RealNumbers.01.Fra
141 reference(s)		 30-Galerie_TextureSynthesis.FV
140 reference(s)
31-Galerie_QuantumMechanics.FV
140 reference(s)		 32-AVirtualSpaceTimeTravelMachine.Fra
140 reference(s)
33-demo_14.FV
133 reference(s)		 34-AQuoiServentLesMathematiques.03
133 reference(s)
35-EnsembleDesGaleries.DIAPO.0004
132 reference(s)		 36-EnsembleDesGaleries.DIAPO.0005
130 reference(s)
37-MonumentValley.01.Fra
129 reference(s)		 38-AnimFractal.01.
129 reference(s)
39-GenieLogiciel.01.Fra
128 reference(s)		 40-Galerie_NewPictures.FV
125 reference(s)
41-Galerie_DeterministicChaos.FV
125 reference(s)		 42-Commentaires_EspaceLyapunovComplexe.01
125 reference(s)
43-Galerie_CelestialMechanics.FV
124 reference(s)		 44-Galerie_SignalProcessing.FV
123 reference(s)
45-SurfaceProjector.01.Fra
122 reference(s)		 46-Commentaires_SystemeSolaire.01
122 reference(s)
47-ExpV_VirE.21
121 reference(s)		 48-Kepler.02.
120 reference(s)
49-ExpV_VirE.Fra
120 reference(s)		 50-Commentaires_DefinitionTransformeeDeFourier.01
120 reference(s)
51-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
117 reference(s)		 52-Galerie_ArtAndScience.FV
115 reference(s)
53-ExpV_VirE.01.Ang
115 reference(s)		 54-EnsembleDesGaleries.DIAPO.0006
115 reference(s)
55-Commentaires_NKleinBottle.01
114 reference(s)		 56-MonumentValley.01.Ang
111 reference(s)
57-AvantPropos.01.Ang
111 reference(s)		 58-catalogue.11
110 reference(s)
59-EnsembleDesGaleries.DIAPO.0007
110 reference(s)		 60-AVirtualSpaceTimeTravelMachine.Fra.FV
108 reference(s)
61-An2000.02.Fra
106 reference(s)		 62-MonodimensionalCellularAutomata.01.Fra
104 reference(s)
63-Galerie_SalonDAutomne.FV
104 reference(s)		 64-Commentaires_ProblemeDesNAimants.01
104 reference(s)
65-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
103 reference(s)		 66-AVirtualSpaceTimeTravelMachine.Ang.FV
103 reference(s)
67-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
102 reference(s)		 68-VisSci_SciVis.02
101 reference(s)
69-Vcatalogue.11
101 reference(s)		 70-Commentaires_EnsembleMandelbrotComplexe.01
101 reference(s)
71-AQuoiServentLesMathematiques.02
101 reference(s)		 72-ManyChaos.01.Fra
100 reference(s)
73-ManyChaos.01.Ang
99 reference(s)		 74-Galerie_BestOf.FV
99 reference(s)
75-Commentaires_DefinitionQuaternions.01
99 reference(s)		 76-ArtOrdinateur.01
99 reference(s)
77-Informations_AboutPicturesAnimationsAndFiles.01.Fra
98 reference(s)		 78-Galerie_FluidMechanics.DIAPO.0001
98 reference(s)
79-An2000.04.Fra
98 reference(s)		 80-Commentaires_ModeleIsingBiDimensionnel.01
97 reference(s)
81-Galerie_CollaborativeWorks..FV
96 reference(s)		 82-ArtScience.01
96 reference(s)
83-create.03.
95 reference(s)		 84-Galerie_CollaborativeWorks.
95 reference(s)
85-EntrelacsIntertwinings.01.Fra
95 reference(s)		 86-An2000.05.Fra
95 reference(s)
87-Galerie_DeterministicChaos
94 reference(s)		 88-An2000.06.Fra
94 reference(s)
89-Galerie_Astrophysics.FV
93 reference(s)		 90-ExpV_VirE.01.Fra
93 reference(s)
91-DuModeleALImage.01.Fra
93 reference(s)		 92-Commentaires_EnsembleJuliaComplexe.01
93 reference(s)
93-Commentaires_DefinitionComplexes.01
93 reference(s)		 94-ArtScience.11.Fra
93 reference(s)
95-PerteDeLAssociativite.01
92 reference(s)		 96-Galerie_QuantumMechanics
92 reference(s)
97-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
92 reference(s)		 98-Commentaires_JeenerMobuisManifold.01
92 reference(s)
99-VisitesGaleriesEnfouies.01.Ang
91 reference(s)		 100-Spheres.01
91 reference(s)
101-Galerie_SensitivityToRoundingOffErrors.FV
91 reference(s)		 102-Galerie_FluidMechanics.FV
91 reference(s)
103-Galerie_ArtAndScience.DIAPO.0001
91 reference(s)		 104-Commentaires_KleinBottle.01
91 reference(s)
105-infinity.01.vv
90 reference(s)		 106-Galerie_QuantumMechanics.DIAPO.0001
90 reference(s)
107-Galerie_NewPictures
90 reference(s)		 108-Galerie_DeterministicFractalGeometry.DIAPO.0001
90 reference(s)
109-Galeries.01.vv
89 reference(s)		 110-AvantPropos.01.Fra
89 reference(s)
111-ArtScience.11.Ang
89 reference(s)		 112-VisSci_SciVis.01
88 reference(s)
113-Galerie_DeterministicChaos.DIAPO.0001
88 reference(s)		 114-EnsembleDesGaleries.DIAPO.0008
88 reference(s)
115-Commentaires_RacinesNIemesUniteComplexes.01
88 reference(s)		 116-Commentaires_EnsembleMandelbrotQuaternion.01
88 reference(s)
117-ScienceEtVirtuel.01.Fra
87 reference(s)		 118-PerteDeLAssociativite.01.ADD3
87 reference(s)
119-MathematiquesPhysiqueInformatiqueImages.01.Fra
87 reference(s)		 120-Galerie_ArtisticCreation.DIAPO.0001
87 reference(s)
121-Galerie_ArtisticCreation
87 reference(s)		 122-real.01.vv.
86 reference(s)
123-RemarquesCerveau.01
86 reference(s)		 124-Galerie_Astrophysics.DIAPO.0001
86 reference(s)
125-FaireDeLaRecherche.01.vv
86 reference(s)		 126-ExpV_VirE.Ang
86 reference(s)
127-Commentaires_KleinBottle.02
86 reference(s)		 128-PerteDeLAssociativite.01.MUL3
85 reference(s)

And now, enjoy visiting A Virtual Machine for Exploring Space-Time and Beyond.




Copyright (c) Jean-François Colonna, 2008-2019.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2008-2019.