Monthly Best Of on 12/28/2008




A pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,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 12/28/2008 and last updated on 10/03/2024 17:01:46 -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, 'World of Tiers' -a Tribute to Philip José Farmer-
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)		The 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)		Untitled 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)		Untitled 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)		Untitled 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 (on 11/17/1994)with its fractal mountains
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 numerical irreversibility of the 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)
Untitled 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_JeenerMobiusManifold.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 Space-Time Travel Machine.




Copyright © Jean-François COLONNA, 2008-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2008-2024.