Monthly Best Of on 06/28/2014




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 tridimensional Ising Model with 2-state spins, temperature=0.2, random initial conditions and an increasing number of iterations -from 100 to 4000-
1-1360 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
2-1307 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
3-459 reference(s)
The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
4-317 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
5-308 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
6-285 reference(s)
Bidimensional Hilbert Curve -iteration 4-
7-251 reference(s)
Happy new year 2000
8-250 reference(s)
Tridimensional Hilbert Curve -iteration 3-
9-211 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
10-167 reference(s)
The random walk of photons escaping the Sun
11-158 reference(s)
Autostereogram with an hidden volcano
12-153 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
13-147 reference(s)
Sixteen interlaced torus
14-145 reference(s)
The random walk of photons escaping the Sun
15-136 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
16-133 reference(s)
Autostereogram with an hidden volcano
17-125 reference(s)
Zoom in on the von Koch curve
18-121 reference(s)
Autostereogram with an hidden volcano
19-121 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
20-115 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
21-114 reference(s)
Artistic view of the prime numbers
22-109 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
23-99 reference(s)
Quantum vacuum fluctuations
24-96 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)
25-86 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
26-78 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
27-77 reference(s)
The Jeener's triple Klein bottle
28-72 reference(s)
Hypercube
29-71 reference(s)
The 126.646 first digits -base 6- of 'phi' -the golden ratio- displayed as an 'absolute' tridimensional random walk
30-66 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
31-61 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
32-61 reference(s)
Tridimensional display of the Riemann Zeta function inside (+0.1,+0.9)x(0,+50)
33-60 reference(s)
Fractal structure of a nucleon
34-58 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
35-58 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
36-58 reference(s)
The Lorenz attractor
37-57 reference(s)
Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
38-57 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
39-57 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
40-57 reference(s)
The generalized Ulam spiral
41-55 reference(s)
Quark and gluon structure of a nucleon
42-54 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
43-53 reference(s)
A set of 4x3 stereograms of a fractal hypercube
44-52 reference(s)
Tridimensional fractal structure -the space-time foam?-
45-52 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
46-51 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
47-51 reference(s)
From Pluto to the Sun (non linear scales)
48-51 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
49-49 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
50-48 reference(s)
A dynamics of four interlaced torus defined by means of three sets of bidimensional fields
51-47 reference(s)
A punched paper tape
52-46 reference(s)
Autostereogram with an hidden ring and ghost bows
53-45 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
54-44 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
55-43 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
56-43 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
57-43 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
58-43 reference(s)
No Title 0207
59-43 reference(s)
Sixteen interlaced fractal torus
60-42 reference(s)
The multiplicative persistence of the 65536 first integer numbers for the bases 2 -lower left- to 17 -upper right-
61-41 reference(s)
Artistic view of the Big Bang
62-40 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
63-40 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
64-39 reference(s)
The Scream -a Tribute to Edvard Munch-
65-38 reference(s)
Quantum vacuum fluctuations
66-37 reference(s)
True colors autostereogram of a fractal landscape
67-37 reference(s)
A pseudo-periodical Penrose tiling of the plane
68-36 reference(s)
Rotation about the Y (vertical)axis of the 1-foil torus knot on its torus and its asociated Möbius strip, that can also be viewed as a set of 4x3 stereograms
69-36 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
70-36 reference(s)
An Archimedes spiral displaying 1000 numbers
71-35 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
72-35 reference(s)
The non linear transformation of the coordinates in the Solar System
73-35 reference(s)
display of the Lyapunov exponent computed for different iteration numbers of a Julia set
74-35 reference(s)
Autostereogram with an hidden volcano
75-34 reference(s)
The random walk of photons escaping the Sun
76-34 reference(s)
Autostereogram of Monument Valley
77-34 reference(s)
A twisting rope
78-33 reference(s)
The Borromean Rings
79-33 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
80-32 reference(s)
Monument Valley à la David Hockney
81-32 reference(s)
A fractal hypercube
82-32 reference(s)
Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
83-32 reference(s)
Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
84-32 reference(s)
Along the border of the Mandelbrot set
85-31 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
86-31 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
87-31 reference(s)
Rotation about the Y (vertical)axis of the 5-foil torus knot on its torus, that can also be viewed as a set of 4x3 stereograms
88-31 reference(s)
Fractal 7-foil torus knot
89-31 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
90-31 reference(s)
The Jeener's triple Klein bottle
91-31 reference(s)
The Universe at the heart of a Calabi-Yau manifold
92-30 reference(s)
A bidimensional field
93-30 reference(s)
Autostereogram with an hidden volcano
94-30 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
95-30 reference(s)
Autostereogram with an hidden volcano and an animated disguise texture
96-29 reference(s)
Animation of bidimensional textures by means of the self-transformation of a gaussian field
97-29 reference(s)
Self-transformation of the bidimensional field defining the three coordinates of an interpolation between the Möbius strip and the Klein bottle
98-29 reference(s)
Paradoxal Monument Valley at sunset
99-29 reference(s)
The Lorenz attractor
100-29 reference(s)
Electron-positron scattering
101-29 reference(s)
From the infinitely small to the infinitely big
102-29 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
103-29 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+20.0)x(-15.0,+15.0) (bird's-eye view)
104-28 reference(s)
Autostereogram with an hidden ring and ghost bows
105-28 reference(s)
No Title 0206
106-28 reference(s)
A dynamic 'crumpled' Klein bottle defined by means of three sets of bidimensional fields
107-28 reference(s)
Quark and gluon structure of a nucleon
108-28 reference(s)
A set of 4x3 stereograms of a tridimensional visualization of the Verhulst dynamics
109-28 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
110-28 reference(s)
Rotation about the Y (vertical)axis of the 3-foil torus knot on its torus, that can also be viewed as a set of 4x3 stereograms
111-28 reference(s)
A quaternionic Julia set -tridimensional cross-section-
112-28 reference(s)
A set of 4x3 stereograms of a tridimensional interpolation between a fractal structure and a cubic mesh
113-28 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
114-27 reference(s)
Double bidimensional rectangular billiard with 64 isotropic particles and without collisions
115-27 reference(s)
The extended Borromean Rings
116-27 reference(s)
Monument Valley à la David Hockney
117-27 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
118-27 reference(s)
The 126.646 first digits -base 6- of the square root of 2 - displayed as an 'absolute' tridimensional random walk
119-27 reference(s)
A twisting Lissajous surface
120-26 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Sun point of view-
121-26 reference(s)
A set of 4x3 stereograms of a tridimensional visualization of the Verhulst dynamics
122-26 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
123-26 reference(s)
The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 411678
124-26 reference(s)
The wall-paper process
125-26 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
126-26 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
127-25 reference(s)
Pseudo Olympic Rings
128-25 reference(s)




2-The 128 most referenced Pages:



1-demo_14
489 reference(s)
2-An2000.01.Fra
470 reference(s)
3-help.
370 reference(s)
4-Fractal.01
370 reference(s)
5-AVirtualSpaceTimeTravelMachine.Ang
345 reference(s)
6-Galerie_Tributes.FV
319 reference(s)
7-FloatingPointNumbers.01.Fra
317 reference(s)
8-AQuoiServentLesMathematiques.01
290 reference(s)
9-Stereogrammes_AutoStereogrammes.01
276 reference(s)
10-RealNumbers.01.Fra
275 reference(s)
11-FaireDeLaRecherche.01.vv
269 reference(s)
12-Galerie_NewPictures.FV
256 reference(s)
13-Galerie_NumberTheory.FV
254 reference(s)
14-Galerie_GeneralitiesVisualization.FV
253 reference(s)
15-Galerie_DeterministicFractalGeometry.FV
251 reference(s)
16-AVirtualSpaceTimeTravelMachine.Fra
233 reference(s)
17-MathematiquesPhysiqueFractales.02
229 reference(s)
18-fractal.01
227 reference(s)
19-copyright.01.
227 reference(s)
20-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
224 reference(s)
21-Galerie_ArtAndScience.FV
223 reference(s)
22-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
220 reference(s)
23-GenieLogiciel_VisualisationScientifique.01.vv
219 reference(s)
24-MorePages.
214 reference(s)
25-Galerie_CelestialMechanics.FV
212 reference(s)
26-mail.01.vv
211 reference(s)
27-aquoiserventlesmathematiques.01
211 reference(s)
28-Galerie_ArtisticCreation.FV
211 reference(s)
29-catalogue.11
207 reference(s)
30-UlamSpiral.01.Fra
204 reference(s)
31-ImagesDuVirtuel.01.Fra.FV
204 reference(s)
32-GoldenTriangle.01.Fra
203 reference(s)
33-SurfaceProjector.01.Ang
202 reference(s)
34-ExpV_VirE.11
202 reference(s)
35-SurfaceProjector.01.Fra
201 reference(s)
36-MonodimensionalCellularAutomata.01.Ang
197 reference(s)
37-NDimensionalDeterministicFractalSets.01.Ang
195 reference(s)
38-Galerie_ParticleSystems.FV
195 reference(s)
39-AProposSite.01.Fra
195 reference(s)
40-Galerie_Astrophysics.FV
193 reference(s)
41-ExpV_VirE.Ang
193 reference(s)
42-AnimFractal.01.
193 reference(s)
43-MathematiquesPhysiqueFractales.22
192 reference(s)
44-Galerie_TextureSynthesis.FV
191 reference(s)
45-Galerie_BestOf.FV
191 reference(s)
46-DieuScience.01.Fra
191 reference(s)
47-LOG_xiMc.11
189 reference(s)
48-Autostereograms.01.
189 reference(s)
49-infinity.01.vv
188 reference(s)
50-EntrelacsIntertwinings.01.Ang
188 reference(s)
51-Galerie_QuantumMechanics.FV
187 reference(s)
52-fairedelarecherche.01.vv
186 reference(s)
53-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
186 reference(s)
54-Galerie_SignalProcessing.FV
186 reference(s)
55-Fractal.11
186 reference(s)
56-FloatingPointNumbers.01.Ang
186 reference(s)
57-Galerie_DeterministicChaos.FV
185 reference(s)
58-MonodimensionalCellularAutomata.01.Fra
184 reference(s)
59-create.03.
181 reference(s)
60-Kepler.02.
181 reference(s)
61-IllusionConnaissance.02
181 reference(s)
62-OrdinateursEtCalculs.01.Fra
180 reference(s)
63-NDimensionalDeterministicFractalSets.01.Fra
179 reference(s)
64-ImpossibleStructures.01.Fra
179 reference(s)
65-subject.01.
178 reference(s)
66-Informations_AboutPicturesAnimationsAndFiles.01.Ang
178 reference(s)
67-Galerie_SensitivityToRoundingOffErrors.FV
178 reference(s)
68-AvantPropos.01.Ang
178 reference(s)
69-infinity.02.vv
177 reference(s)
70-NatureDesMathematiques.01.vv.Fra
176 reference(s)
71-DuModeleALImage.02.Fra
176 reference(s)
72-OrdinateurMathematiquesArt.01.Fra
175 reference(s)
73-MathematiquesModeleOutilArtiste.02.Ang
174 reference(s)
74-GenieLogiciel.01.Fra
174 reference(s)
75-LesApprentisDieux.01
173 reference(s)
76-EntrelacsIntertwinings.01.Fra
173 reference(s)
77-GoldenTriangle.01.Ang
172 reference(s)
78-ExpV_VirE.21
172 reference(s)
79-OrdinateursEtCalculs.01.Ang
170 reference(s)
80-realnumbers
169 reference(s)
81-VirtualChaos.01.Ang
169 reference(s)
82-UlamSpiral.01.Ang
168 reference(s)
83-Fractal.03
168 reference(s)
84-nombresreels
167 reference(s)
85-demo.14
167 reference(s)
86-EnsembleDesGaleries.DIAPO.0001
167 reference(s)
87-genielogiciel
166 reference(s)
88-demo
166 reference(s)
89-an2000
166 reference(s)
90-demo14
165 reference(s)
91-Spheres.01
165 reference(s)
92-ManyChaos.01.Fra
165 reference(s)
93-logiciel
164 reference(s)
94-ImpossibleStructures.01.Ang
164 reference(s)
95-AvantPropos.01.Fra
164 reference(s)
96-MathematiquesEtRepresentations.01.vv.Ang
162 reference(s)
97-QuelquesQuestionsSurLaRecherche.01.Fra
161 reference(s)
98-ManyChaos.01.Ang
161 reference(s)
99-EnsembleDesGaleriesFractales.DIAPO.0001
161 reference(s)
100-RemarquesCerveau.01
160 reference(s)
101-Informations_GoodNewsAndBadNews.01.Fra
160 reference(s)
102-Galerie_FluidMechanics.FV
159 reference(s)
103-PerteDeLAssociativite.01
157 reference(s)
104-MathematiquesEtCinematographe.01.vv
156 reference(s)
105-NombresEtLumiere.01.vv.Fra
155 reference(s)
106-VirtualChaos.01.Fra
154 reference(s)
107-Fractal.02
154 reference(s)
108-present.01.
153 reference(s)
109-VisitesGaleriesEnfouies.01.Fra
151 reference(s)
110-PatrimoineHumanite.02.Fra
149 reference(s)
111-ArtEtMathematiques.01
149 reference(s)
112-Informations_AboutPicturesAnimationsAndFiles.01.Fra
146 reference(s)
113-VisitesGaleriesEnfouies.01.Ang
145 reference(s)
114-MathematiquesPhysiqueFractales.01
142 reference(s)
115-ExpV_VirE.01.Fra
141 reference(s)
116-Vcatalogue.11
140 reference(s)
117-Galerie_ImagesDesMathematiques.FV
135 reference(s)
118-ComplexiteStructurelleClassements.01
135 reference(s)
119-AQuoiServentLesMathematiques.03
135 reference(s)
120-Commentaires_Plan.01
134 reference(s)
121-MathematiquesPhysiqueFractales.12
133 reference(s)
122-Galerie_CollaborativeWorks..FV
132 reference(s)
123-Commentaires_NKleinBottle.01
132 reference(s)
124-ExpV_VirE.Fra
131 reference(s)
125-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
130 reference(s)
126-ExpV_VirE.01.Ang
130 reference(s)
127-An2000.04.Fra
130 reference(s)
128-Informations_GoodNewsAndBadNews.01.Ang
129 reference(s)

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Copyright (c) Jean-François Colonna, 2014-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2014-2018.