Monthly Best Of on 03/28/2008




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 03/28/2008 and last updated on 06/30/2018 14:03:37 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Tridimensional representation of a quadridimensional Calabi-Yau manifold
1-1407 reference(s)
Hypercube
2-330 reference(s)
Black dots (inside random white squares)on a square lattice
3-210 reference(s)
Quark and gluon dynamics of the nucleon
4-174 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
5-162 reference(s)
Autostereogram with an hidden volcano
6-150 reference(s)
Electron diffraction
7-144 reference(s)
Autostereogram with an hidden volcano and fractal phenomenon
8-135 reference(s)
Quark and gluon structure of a nucleon
9-86 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)
10-77 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
11-76 reference(s)
The random walk of photons escaping the Sun
12-70 reference(s)
Artistic view of the prime numbers
13-69 reference(s)
The random walk of photons escaping the Sun
14-65 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
15-62 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0) (bird's-eye view)
16-59 reference(s)
Quark and gluon structure of a nucleon
17-55 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
18-53 reference(s)
The Lorenz attractor
19-52 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
20-50 reference(s)
Paradoxal Monument Valley at sunset
21-46 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
22-46 reference(s)
The Birth of the Universe
23-41 reference(s)
The rain (or the snow)is falling
24-39 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)
25-39 reference(s)
Artistic view of the Big Bang
26-38 reference(s)
Jean-François Colonna
27-37 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
28-36 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
29-34 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
30-33 reference(s)
Isotropic random walk of 64 particles on a tridimensional square lattice
31-32 reference(s)
Rotation about the Y (vertical)axis of the CMAP logo that can also be viewed as a set of 4x3 stereograms
32-32 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
33-31 reference(s)
White Hole
34-30 reference(s)
Texture animation by means of the generalized Fourier filtering process
35-30 reference(s)
No Title 0101
36-29 reference(s)
From Pluto to the Sun (non linear scales)
37-29 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
38-29 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
39-29 reference(s)
Rotation about the X axis of the Lorenz attractor
40-28 reference(s)
Rotation about the Y (vertical)axis of a tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
41-28 reference(s)
No Title 0098
42-27 reference(s)
A Tribute to Archimedes
43-27 reference(s)
A variable Archimedes spiral displaying 1000 numbers
44-27 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
45-27 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
46-27 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
47-25 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)
48-25 reference(s)
Bloody mountain
49-24 reference(s)
From Pluto to the Sun -extrapolation 2- (non linear scales)
50-24 reference(s)
Autostereogram with an hidden volcano
51-23 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
52-23 reference(s)
Artistic view of the Klein bottle
53-23 reference(s)
Vibrations 0003
54-22 reference(s)
The random walk of photons escaping the Sun
55-22 reference(s)
Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
56-22 reference(s)
A shell (Jeener surface 1)in motion
57-22 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
58-21 reference(s)
The Scream -a Tribute to Edvard Munch-
59-21 reference(s)
Mountains and light clouds
60-21 reference(s)
The Möbius strip
61-21 reference(s)
Tridimensional fractal structure
62-21 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
63-21 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
64-20 reference(s)
Animation of a sunrise on mountains
65-20 reference(s)
The journey of an Earth-like planet (blue)from Mars (red) to the Sun (yellow) -extrapolation-
66-20 reference(s)
Autostereogram with an hidden volcano
67-19 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
68-19 reference(s)
Self-transformation of a simple dynamical geometric texture
69-19 reference(s)
The irreversibility of the numerical bidimensional billiard
70-18 reference(s)
Cauliflowers, seaweeds, shells,... with fog
71-18 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
72-18 reference(s)
From Pluto to the Sun -extrapolation 1- (non linear scales)
73-18 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
74-18 reference(s)
Artistic view of a quadridimensional Calabi-Yau manifold
75-18 reference(s)
Archimedes spirals
76-18 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
77-18 reference(s)
Fractal new Moon
78-17 reference(s)
Quantum vacuum fluctuations
79-17 reference(s)
Along the border of the Mandelbrot set
80-17 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
81-17 reference(s)
Botticelli anomaly on the Moon
82-17 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
83-17 reference(s)
Periodical earthquake with multifractal mountains
84-17 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
85-17 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
86-16 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
87-16 reference(s)
Self-transformation of a simple dynamical geometric texture
88-16 reference(s)
The generalized Ulam spiral displaying 1024 numbers
89-16 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
90-16 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)-sensitivity to initial conditions-
91-16 reference(s)
Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
92-16 reference(s)
Intertwining based on the geometry of the sphere
93-16 reference(s)
Tridimensional display of the evolution of a bidimensional binary cellular automaton with 1 white starting central point
94-16 reference(s)
Quantum vacuum fluctuation dynamics
95-15 reference(s)
Texture animation by means of the Generalized Product
96-15 reference(s)
Erosion in Monument Valley with fog
97-15 reference(s)
Tridimensional artistic view of the Verhulst dynamics
98-15 reference(s)
No Title 0025
99-15 reference(s)
A quaternionic Julia set -tridimensional cross-section-
100-15 reference(s)
Double impossible staircase
101-15 reference(s)
From the infinitely small to the infinitely big
102-15 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
103-15 reference(s)
Fractal new Moon
104-14 reference(s)
Alien
105-14 reference(s)
Synthesis of tridimensional symmetrical geometrical textures
106-14 reference(s)
No Title 0086
107-14 reference(s)
26 evenly distributed points on a sphere by means of simulated annealing displayed upon the (PHI,TETA)plane
108-14 reference(s)
The tridimensional field defining the three coordinates of a tridimensional twisted torus-like manifold
109-14 reference(s)
The Eratosthene sieve displaying 100x100 numbers
110-14 reference(s)
An Archimedes spiral displaying 1000 numbers
111-14 reference(s)
Animation of bidimensional textures by means of the self-transformation of a fractal process
112-14 reference(s)
Mountains and cloud dynamics -this sequence being periodical-
113-14 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
114-14 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)
115-14 reference(s)
Tridimensional display of the integration of the Lorenz attractor system for 448500 different initial conditions
116-14 reference(s)
Electron-positron scattering
117-14 reference(s)
The bottom of the sea
118-14 reference(s)
Foggy seaboard
119-14 reference(s)
No Title 0091
120-13 reference(s)
Bidimensional geometrical texture animation
121-13 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle and with display of velocity histograms
122-13 reference(s)
Particle collisions without energy loss in a tridimensional space with display of the velocity histogram
123-13 reference(s)
Tridimensional display of cross-sections inside a tridimensional fractal aggregate
124-13 reference(s)
Artistic variation on the bidimensional Sierpinski billiard with 64 isotropic particles and with collisions
125-13 reference(s)
26 evenly distributed points on a sphere by means of simulated annealing
126-13 reference(s)
Self-transformation of a simple dynamical geometric texture
127-13 reference(s)
Texture animation by means of inertia momentum computation
128-13 reference(s)




2-The 128 most referenced Pages:



1-demo_14
477 reference(s)
2-AVirtualSpaceTimeTravelMachine.Ang
232 reference(s)
3-An2000.01.Fra
158 reference(s)
4-help.
131 reference(s)
5-demo_14.FV
106 reference(s)
6-ImagesDuVirtuel.01.Fra
92 reference(s)
7-copyright.01.
88 reference(s)
8-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
85 reference(s)
9-Fractal.01
85 reference(s)
10-Galerie_ArtisticCreation.FV
84 reference(s)
11-ExpV_VirE.11
83 reference(s)
12-Stereogrammes_AutoStereogrammes.01
82 reference(s)
13-Galerie_Astrophysics.DIAPO.0001
80 reference(s)
14-GenieLogiciel.01.Fra
79 reference(s)
15-Galerie_DeterministicFractalGeometry.FV
79 reference(s)
16-AQuoiServentLesMathematiques.01
79 reference(s)
17-subject.01.
73 reference(s)
18-AVirtualSpaceTimeTravelMachine.Fra
73 reference(s)
19-AProposSite.01.Fra
73 reference(s)
20-Galerie_GeneralitiesVisualization.FV
69 reference(s)
21-SurfaceProjector.01.Ang
68 reference(s)
22-FloatingPointNumbers.01.Fra
68 reference(s)
23-FloatingPointNumbers.01.Ang
68 reference(s)
24-Autostereograms.01.
67 reference(s)
25-Galerie_NumberTheory.FV
66 reference(s)
26-Galerie_CelestialMechanics.FV
65 reference(s)
27-Galerie_DeterministicChaos.FV
64 reference(s)
28-present.01.
63 reference(s)
29-mail.01.vv
62 reference(s)
30-Informations_AboutPicturesAnimationsAndFiles.01.Ang
61 reference(s)
31-Galerie_QuantumMechanics.FV
60 reference(s)
32-AVirtualSpaceTimeTravelMachine.Ang.FV
58 reference(s)
33-MathematiquesPhysiqueFractales.01
56 reference(s)
34-ExpV_VirE.Fra
56 reference(s)
35-AnimFractal.01.
56 reference(s)
36-AVirtualSpaceTimeTravelMachine.Fra.FV
56 reference(s)
37-Galerie_ParticleSystems.FV
55 reference(s)
38-Galerie_TextureSynthesis.FV
53 reference(s)
39-ExpV_VirE.21
53 reference(s)
40-VisSci_SciVis.02
52 reference(s)
41-ImagesDuVirtuel.01.Fra.FV
52 reference(s)
42-AQuoiServentLesMathematiques.03
52 reference(s)
43-LOG_xiMc.11
51 reference(s)
44-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
51 reference(s)
45-Galerie_ArtAndScience.FV
51 reference(s)
46-Commentaires_NKleinBottle.01
51 reference(s)
47-An2000.02.Fra
51 reference(s)
48-An2000.03.Fra
49 reference(s)
49-Galerie_NewPictures.DIAPO.0001
47 reference(s)
50-SurfaceProjector.01.Fra
46 reference(s)
51-Galerie_BestOf.FV
46 reference(s)
52-AQuoiServentLesMathematiques.02
46 reference(s)
53-catalogue.11
45 reference(s)
54-Galerie_SensitivityToRoundingOffErrors.FV
45 reference(s)
55-ArtScience.11.Fra
45 reference(s)
56-ArtOrdinateur.01
45 reference(s)
57-An2000.01.Ang
45 reference(s)
58-VisSci_SciVis.01
44 reference(s)
59-Galerie_QuantumMechanics.DIAPO.0001
44 reference(s)
60-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
44 reference(s)
61-EnsembleDesGaleries.DIAPO.0001
44 reference(s)
62-VirtualChaos.01.Fra
43 reference(s)
63-AvantPropos.01.Ang
43 reference(s)
64-An2000.05.Fra
43 reference(s)
65-RealNumbers.01.Fra
42 reference(s)
66-Galerie_NewPictures.FV
42 reference(s)
67-Galerie_DeterministicChaos.DIAPO.0001
41 reference(s)
68-Commentaires_SystemeSolaire.01
41 reference(s)
69-Commentaires_DefinitionComplexes.01
41 reference(s)
70-ExpV_VirE.Ang
40 reference(s)
71-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
40 reference(s)
72-Commentaires_KleinBottle.01
40 reference(s)
73-Commentaires_DefinitionQuaternions.01
40 reference(s)
74-Galeries.01.vv
39 reference(s)
75-Galerie_FluidMechanics.FV
39 reference(s)
76-Galerie_Astrophysics.FV
39 reference(s)
77-Galerie_Astrophysics.DIAPO.0002
39 reference(s)
78-Galerie_ArtisticCreation.DIAPO.0001
39 reference(s)
79-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
39 reference(s)
80-ArtScience.01
39 reference(s)
81-An2000.06.Fra
39 reference(s)
82-An2000.04.Fra
39 reference(s)
83-Vcatalogue.11
38 reference(s)
84-Galerie_QuantumMechanics
38 reference(s)
85-Galerie_CollaborativeWorks..FV
38 reference(s)
86-Commentaires_ModeleIsingBiDimensionnel.01
38 reference(s)
87-ManyChaos.01.Ang
37 reference(s)
88-Kepler.02.
37 reference(s)
89-Informations_GoodNewsAndBadNews.01.Fra
36 reference(s)
90-Informations_AboutPicturesAnimationsAndFiles.01.Fra
36 reference(s)
91-Galerie_BestOf.DIAPO.0001
36 reference(s)
92-ExpV_VirE.01.Fra
36 reference(s)
93-Commentaires_EnsembleMandelbrotComplexe.01
36 reference(s)
94-real.01.vv.
35 reference(s)
95-Galerie_SalonDAutomne.FV
35 reference(s)
96-ExpV_VirE.01.Ang
35 reference(s)
97-Commentaires_ProblemeDesNCorps.01
35 reference(s)
98-Commentaires_EspaceLyapunovComplexe.01
35 reference(s)
99-Commentaires_DefinitionTransformeeDeFourier.01
35 reference(s)
100-Galerie_ParticleSystems.DIAPO.0001
34 reference(s)
101-DuModeleALImage.01.Fra
34 reference(s)
102-Commentaires_KleinBottle.02
34 reference(s)
103-Commentaires_EnsembleJuliaComplexe.01
34 reference(s)
104-Commentaires_DoubleJeenerBottle.01
34 reference(s)
105-ArtScience.11.Ang.DIAPO.0001
34 reference(s)
106-infinity.01.vv.DIAPO.0001
33 reference(s)
107-VisitesGaleriesEnfouies.01.Ang
33 reference(s)
108-RemarquesCerveau.01
33 reference(s)
109-Galerie_SignalProcessing.FV
33 reference(s)
110-Galerie_NumberTheory
33 reference(s)
111-Galerie_GeneralitiesVisualization.DIAPO.0001
33 reference(s)
112-Galerie_AnthropomorphicPatterns.FV
33 reference(s)
113-Commentaires_JeenerMobuisManifold.01
33 reference(s)
114-Commentaires_EnsembleJuliaQuaternion.01
33 reference(s)
115-create.03.
32 reference(s)
116-MonumentValley.01.Fra
32 reference(s)
117-MonumentValley.01.Ang
32 reference(s)
118-Galerie_GeneralitiesVisualization
32 reference(s)
119-Galerie_FluidMechanics.DIAPO.0001
32 reference(s)
120-Galerie_CelestialMechanics.DIAPO.0001
32 reference(s)
121-AvantPropos.01.Fra
32 reference(s)
122-infinity.01.vv
31 reference(s)
123-hydrogene.61.K.
31 reference(s)
124-PatrimoineHumanite.02.Fra
31 reference(s)
125-Galerie_DeterministicFractalGeometry.DIAPO.0001
31 reference(s)
126-Galerie_ArtAndScience.DIAPO.0001
31 reference(s)
127-Commentaires_Tore.01
31 reference(s)
128-Commentaires_RacinesNIemesUniteComplexes.01
31 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.