Monthly Best Of on 04/28/2012




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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Contents of this page:


1-The 128 most referenced Pictures:



The random walk of photons escaping the Sun
1-328 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-185 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
3-88 reference(s)
Zoom in on the von Koch curve
4-85 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
5-84 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
6-83 reference(s)
Artistic view of the prime numbers
7-79 reference(s)
Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
8-75 reference(s)
The Lorenz attractor
9-65 reference(s)
Mystery cliffs at sunrise
10-57 reference(s)
Mystery mountain at sunrise
11-57 reference(s)
Mountains at sunrise
12-57 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)
13-55 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
14-46 reference(s)
From the infinitely small to the infinitely big
15-40 reference(s)
Quark and gluon structure of a nucleon
16-39 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
17-38 reference(s)
From Pluto to the Sun (non linear scales)
18-37 reference(s)
Quark and gluon structure of a nucleon
19-36 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
20-36 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
21-35 reference(s)
A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
22-34 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
23-34 reference(s)
The random walk of photons escaping the Sun
24-33 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
25-33 reference(s)
Intertwining
26-31 reference(s)
The generalized Ulam spiral displaying 100 numbers
27-31 reference(s)
The Jeener's triple Klein bottle
28-31 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
29-30 reference(s)
No Title 0146
30-29 reference(s)
Tridimensional Hilbert Curve -iteration 4-
31-28 reference(s)
Quantum vacuum fluctuations
32-27 reference(s)
Along the border of the Mandelbrot set
33-27 reference(s)
Artistic variation on the generalized Ulam spiral displaying 81 numbers
34-27 reference(s)
The generalized Ulam spiral displaying 1024 numbers
35-26 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
36-26 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
37-26 reference(s)
Fractal structure of a nucleon
38-25 reference(s)
A 'fractal plane' with overhangings defined by means of three bidimensional fields
39-25 reference(s)
Mountains at sunrise
40-25 reference(s)
A shell (Jeener surface 1)in motion
41-24 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of quadridimensional Calabi-Yau manifolds that can also be viewed as a set of 4x3 stereograms -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
42-24 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
43-24 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
44-23 reference(s)
Tridimensional Hilbert Curve -iteration 3-
45-23 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
46-23 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
47-22 reference(s)
An arbitrary surface (Jeener surface 2)in motion
48-22 reference(s)
Hypercube
49-22 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
50-22 reference(s)
Autostereogram with an hidden volcano
51-21 reference(s)
The Solar System with a dark blue virtual planet -heliocentric point of view-
52-21 reference(s)
The Solar System with a dark blue virtual planet -virtual planet point of view-
53-21 reference(s)
A shell (Jeener surface 1)
54-21 reference(s)
Electron-positron scattering
55-21 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
56-20 reference(s)
The tridimensional John Conway's life game with random initial conditions -1.6% of occupied cells-
57-20 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
58-20 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
59-19 reference(s)
Recursive intertwining
60-19 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
61-19 reference(s)
Tridimensional display of the dynamics of the bidimensional John Conway's life game
62-19 reference(s)
Artistic view of the Big Bang
63-18 reference(s)
Autostereogram with an hidden ring and ghost bows
64-18 reference(s)
The Bonan-Jeener's 12-bottle before a paradoxal field
65-18 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0)
66-17 reference(s)
Quantum vacuum fluctuations
67-17 reference(s)
Alien
68-17 reference(s)
The Möbius strip
69-17 reference(s)
The Möbius strip
70-17 reference(s)
Tridimensional visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
71-17 reference(s)
A quaternionic Julia set -tridimensional cross-section-
72-17 reference(s)
The Birth of the Universe
73-17 reference(s)
Autostereogram with an hidden volcano and an animated disguise texture
74-16 reference(s)
Autostereogram with an hidden volcano
75-16 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
76-16 reference(s)
Autostereogram with an hidden volcano
77-16 reference(s)
Quark and gluon dynamics of the nucleon
78-16 reference(s)
An arbitrary surface (Jeener surface 2)
79-16 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')transformed using the tridimensional life game -tridimensional cross-section-
80-16 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
81-16 reference(s)
Tridimensional fractal structure
82-16 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
83-16 reference(s)
Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
84-16 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
85-15 reference(s)
Autostereogram with an hidden ring and ghost bows
86-15 reference(s)
Botticelli anomaly on the Moon
87-15 reference(s)
An arbitrary surface (Jeener surface 2)in motion
88-15 reference(s)
Artistic view of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0) -a Tribute to José Hernández- -tridimensional cross-section-
89-15 reference(s)
The Scream -a Tribute to Edvard Munch-
90-14 reference(s)
Snowy Monument Valley
91-14 reference(s)
Foggy Monument Valley
92-14 reference(s)
Animation of a sunrise on mountains
93-14 reference(s)
An interpolation between the tridimensional Hilbert Curve -iteration 4- and a detail of a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
94-14 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
95-14 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
96-14 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
97-13 reference(s)
Paradoxal Monument Valley at sunset
98-13 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
99-13 reference(s)
Jean-François Colonna
100-13 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
101-13 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
102-13 reference(s)
Autostereogram with an hidden volcano
103-12 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
104-12 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
105-12 reference(s)
The Eratosthene sieve displaying 100x100 numbers
106-12 reference(s)
Two identical grey rectangles in front of a grey scale
107-12 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
108-12 reference(s)
Bidimensional Hilbert Curve -iteration 4-
109-12 reference(s)
Bidimensional clouds or height field
110-12 reference(s)
Double impossible staircase
111-12 reference(s)
Rotation about the Y (vertical)axis of the Jeener's triple Klein bottle that can also be viewed as a set of 4x3 stereograms
112-12 reference(s)
The construction process of the von Koch curve
113-11 reference(s)
No Title 0144
114-11 reference(s)
The generalized Ulam spiral displaying 81 numbers
115-11 reference(s)
The generalized Ulam spiral
116-11 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
117-11 reference(s)
Quark and gluon structure of the nucleon
118-11 reference(s)
The Klein bottle
119-11 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
120-11 reference(s)
Along the border of the Mandelbrot set
121-10 reference(s)
Recursive intertwining
122-10 reference(s)
Exploding tridimensional fractal aggregate
123-10 reference(s)
Foggy Monument Valley
124-10 reference(s)
Monument Valley at sunrise
125-10 reference(s)
Autostereogram of Monument Valley
126-10 reference(s)
No Title 0137 -'Jour de Lenteur', a tribute to Yves Tanguy-
127-10 reference(s)
Different modes of representation of a tridimensional cross-section of a Quaternionic Julia set
128-10 reference(s)




2-The 128 most referenced Pages:



1-demo_14
942 reference(s)
2-An2000.01.Fra
482 reference(s)
3-AVirtualSpaceTimeTravelMachine.Ang
436 reference(s)
4-Fractal.01
359 reference(s)
5-help.
357 reference(s)
6-Galerie_GeneralitiesVisualization.FV
311 reference(s)
7-FloatingPointNumbers.01.Ang
290 reference(s)
8-MonodimensionalCellularAutomata.01.Fra
285 reference(s)
9-FloatingPointNumbers.01.Fra
285 reference(s)
10-SurfaceProjector.01.Fra
279 reference(s)
11-Galerie_DeterministicFractalGeometry.FV
276 reference(s)
12-NDimensionalDeterministicFractalSets.01.Ang
274 reference(s)
13-GenieLogiciel_VisualisationScientifique.01.vv
266 reference(s)
14-AQuoiServentLesMathematiques.01
261 reference(s)
15-Galerie_ArtAndScience.FV
259 reference(s)
16-ImagesDuVirtuel.01.Fra.FV
258 reference(s)
17-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
251 reference(s)
18-Galerie_NumberTheory.FV
246 reference(s)
19-Galerie_ArtisticCreation.FV
246 reference(s)
20-AVirtualSpaceTimeTravelMachine.Fra
240 reference(s)
21-copyright.01.
237 reference(s)
22-MathematiquesPhysiqueFractales.02
237 reference(s)
23-Galerie_NewPictures.FV
237 reference(s)
24-FaireDeLaRecherche.01.vv
235 reference(s)
25-NDimensionalDeterministicFractalSets.01.Fra
229 reference(s)
26-AnimFractal.01.
227 reference(s)
27-mail.01.vv
226 reference(s)
28-EntrelacsIntertwinings.01.Fra
226 reference(s)
29-SurfaceProjector.01.Ang
224 reference(s)
30-Stereogrammes_AutoStereogrammes.01
219 reference(s)
31-AProposSite.01.Fra
218 reference(s)
32-infinity.01.vv
216 reference(s)
33-Kepler.02.
214 reference(s)
34-RealNumbers.01.Fra
213 reference(s)
35-Informations_AboutPicturesAnimationsAndFiles.01.Ang
213 reference(s)
36-ExpV_VirE.11
213 reference(s)
37-Galerie_ParticleSystems.FV
212 reference(s)
38-Galerie_CelestialMechanics.FV
212 reference(s)
39-Fractal.11
212 reference(s)
40-NatureDesMathematiques.01.vv.Fra
211 reference(s)
41-IllusionConnaissance.02
209 reference(s)
42-aquoiserventlesmathematiques.01
206 reference(s)
43-Galerie_DeterministicChaos.FV
206 reference(s)
44-Galerie_QuantumMechanics.FV
205 reference(s)
45-OrdinateurMathematiquesArt.01.Fra
201 reference(s)
46-DieuScience.01.Fra
201 reference(s)
47-fractal.01
197 reference(s)
48-MonodimensionalCellularAutomata.01.Ang
197 reference(s)
49-EntrelacsIntertwinings.01.Ang
197 reference(s)
50-ImpossibleStructures.01.Ang
194 reference(s)
51-subject.01.
193 reference(s)
52-VirtualChaos.01.Fra
193 reference(s)
53-ImpossibleStructures.01.Fra
193 reference(s)
54-GenieLogiciel.01.Fra
193 reference(s)
55-Autostereograms.01.
193 reference(s)
56-PatrimoineHumanite.02.Fra
190 reference(s)
57-Galerie_Astrophysics.FV
190 reference(s)
58-Galerie_BestOf.FV
188 reference(s)
59-Spheres.01
187 reference(s)
60-catalogue.11
186 reference(s)
61-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
186 reference(s)
62-ManyChaos.01.Ang
186 reference(s)
63-Galerie_TextureSynthesis.FV
186 reference(s)
64-RemarquesCerveau.01
185 reference(s)
65-present.01.
184 reference(s)
66-OrdinateursEtCalculs.01.Fra
184 reference(s)
67-MathematiquesModeleOutilArtiste.02.Ang
182 reference(s)
68-Galerie_SignalProcessing.FV
182 reference(s)
69-infinity.02.vv
180 reference(s)
70-NombresEtLumiere.01.vv.Fra
179 reference(s)
71-Galerie_FluidMechanics.FV
179 reference(s)
72-AvantPropos.01.Fra
179 reference(s)
73-Galerie_SensitivityToRoundingOffErrors.FV
178 reference(s)
74-ExpV_VirE.Ang
178 reference(s)
75-create.03.
175 reference(s)
76-PerteDeLAssociativite.01
175 reference(s)
77-ManyChaos.01.Fra
175 reference(s)
78-VisitesGaleriesEnfouies.01.Ang
174 reference(s)
79-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
173 reference(s)
80-LOG_xiMc.11
172 reference(s)
81-VirtualChaos.01.Ang
171 reference(s)
82-VisitesGaleriesEnfouies.01.Fra
170 reference(s)
83-Fractal.02
167 reference(s)
84-MathematiquesEtCinematographe.01.vv
166 reference(s)
85-QuelquesQuestionsSurLaRecherche.01.Fra
164 reference(s)
86-AvantPropos.01.Ang
164 reference(s)
87-Informations_AboutPicturesAnimationsAndFiles.01.Fra
163 reference(s)
88-EnsembleDesGaleriesFractales.DIAPO.0001
162 reference(s)
89-ExpV_VirE.Fra
161 reference(s)
90-EnsembleDesGaleries.DIAPO.0001
160 reference(s)
91-OrdinateursEtCalculs.01.Ang
158 reference(s)
92-MathematiquesEtRepresentations.01.vv.Ang
157 reference(s)
93-ExpV_VirE.01.Fra
153 reference(s)
94-Commentaires_DefinitionOctonions.01
151 reference(s)
95-An2000.02.Fra
151 reference(s)
96-fairedelarecherche.01.vv
149 reference(s)
97-Commentaires_ProblemeDesNCorps.01
149 reference(s)
98-Vcatalogue.11
148 reference(s)
99-PerteDeLAssociativite.01.MUL3
148 reference(s)
100-PerteDeLAssociativite.01.ADD3
148 reference(s)
101-An2000.06.Fra
147 reference(s)
102-An2000.01.Ang
147 reference(s)
103-HommageBenoitMandelbrot.21
146 reference(s)
104-Commentaires_ProblemeDesNAimants.01
145 reference(s)
105-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
144 reference(s)
106-Commentaires_NKleinBottle.01
144 reference(s)
107-Commentaires_DefinitionComplexes.01
144 reference(s)
108-ExpV_VirE.21
143 reference(s)
109-Commentaires_DefinitionTransformeeDeFourier.01
143 reference(s)
110-ArtScience.11.Fra
143 reference(s)
111-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
142 reference(s)
112-ArtEtMathematiques.01
142 reference(s)
113-An2000.04.Fra
142 reference(s)
114-AQuoiServentLesMathematiques.03
142 reference(s)
115-real.01.vv.
141 reference(s)
116-ImagesDuVirtuel.01.Fra
140 reference(s)
117-Commentaires_ModeleIsingBiDimensionnel.01
140 reference(s)
118-Commentaires_DefinitionQuaternions.01
140 reference(s)
119-MathematiquesPhysiqueFractales.01
139 reference(s)
120-Commentaires_EnsembleMandelbrotComplexe.01
139 reference(s)
121-ArtScience.01
139 reference(s)
122-An2000.03.Fra
138 reference(s)
123-stereogra.01.c.
137 reference(s)
124-VisSci_SciVis.01
137 reference(s)
125-Galerie_QuantumMechanics.DIAPO.0001
137 reference(s)
126-Commentaires_KleinBottle.01
137 reference(s)
127-VisSci_SciVis.02
136 reference(s)
128-Informations_GoodNewsAndBadNews.01.Fra
136 reference(s)

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Copyright (c) Jean-François Colonna, 2012-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2012-2018.