Monthly Best Of on 02/28/2015




Tridimensional visualization of the Mandelbrot set

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 (*):

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



Quantum vacuum fluctuations
1-1321 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
2-1031 reference(s)		 Bidimensional Hilbert Curve -iteration 4-
3-799 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
4-515 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
5-456 reference(s)		 Tridimensional Hilbert Curve -iteration 3-
6-376 reference(s)		 The random walk of photons escaping the Sun
7-331 reference(s)		 The random walk of photons escaping the Sun
8-310 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
9-271 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
10-264 reference(s)		 Autostereogram with an hidden volcano
11-245 reference(s)		 Happy new year 2000
12-217 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
13-209 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
14-197 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
15-174 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
16-165 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
17-163 reference(s)		 A Peano 'fractal plane' defined by means of three bidimensional fields
18-158 reference(s)		 Autostereogram with an hidden volcano
19-148 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
20-135 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
21-111 reference(s)		 Sixteen interlaced torus
22-110 reference(s)		 Quark and gluon structure of a nucleon
23-107 reference(s)		 The Jeener's triple Klein bottle
24-106 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
25-105 reference(s)		 A pseudo-periodical Penrose tiling of the plane
26-99 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
27-99 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
28-99 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
29-97 reference(s)		 Sixteen interlaced fractal torus
30-96 reference(s)		 An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
31-84 reference(s)		 A fractal hypercube
32-84 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
33-83 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
34-82 reference(s)		 The generalized Ulam spiral
35-79 reference(s)		 Autostereogram with an hidden volcano
36-76 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
37-76 reference(s)		 Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
38-70 reference(s)		 The Scream -a Tribute to Edvard Munch-
39-70 reference(s)		 Autostereogram of Monument Valley
40-70 reference(s)
True colors autostereogram of a fractal landscape
41-69 reference(s)		 Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
42-69 reference(s)		 Paradoxal Monument Valley at sunset
43-65 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
44-63 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
45-63 reference(s)		 The Lorenz attractor
46-61 reference(s)		 Artistic view of the prime numbers
47-60 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
48-60 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
49-59 reference(s)		 Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
50-59 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
51-58 reference(s)		 The Bonan-Jeener's triple Klein bottle
52-57 reference(s)
Hypercube
53-54 reference(s)		 Autostereogram with an hidden volcano
54-53 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)
55-53 reference(s)		 Tridimensional fractal structure -the space-time foam?-
56-53 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
57-53 reference(s)		 Autostereogram with an hidden ring and ghost bows
58-52 reference(s)		 The random walk of photons escaping the Sun
59-49 reference(s)		 An Archimedes spiral displaying 5000 numbers
60-49 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
61-49 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
62-47 reference(s)		 No Title 0226
63-46 reference(s)		 From the infinitely small to the infinitely big
64-45 reference(s)
The third 'power' of a torus defined by means of three bidimensional fields
65-44 reference(s)		 Artistic view of the Big Bang
66-42 reference(s)		 Recursive intertwining
67-41 reference(s)		 Quark and gluon structure of a nucleon
68-41 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
69-41 reference(s)		 Autostereogram with an hidden volcano
70-39 reference(s)		 A linear mixing of a sphere and of a torus defined by means of three bidimensional fields
71-39 reference(s)		 Pseudo Olympic Rings
72-39 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
73-39 reference(s)		 Along the border of the Mandelbrot set
74-38 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
75-37 reference(s)		 Pseudo Olympic Rings
76-37 reference(s)
The bidimensional John Conway's life game
77-37 reference(s)		 Jean-François Colonna
78-37 reference(s)		 A shell (Jeener surface 1)in motion
79-37 reference(s)		 Quantum vacuum fluctuations
80-36 reference(s)
Fractal natural form
81-36 reference(s)		 A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) and with a rotation about the X axis -tridimensional cross-section-
82-36 reference(s)		 Quantum vacuum fluctuation dynamics
83-35 reference(s)		 A punched paper tape
84-35 reference(s)
The generalized Ulam spiral displaying 2025 numbers
85-35 reference(s)		 A tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
86-35 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
87-35 reference(s)		 The Jeener's triple Klein bottle
88-35 reference(s)
Sunny Monument Valley
89-34 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Sun point of view-
90-34 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
91-34 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System
92-34 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
93-34 reference(s)		 A set of 4x3 stereograms of a fractal hypercube
94-34 reference(s)		 Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
95-34 reference(s)		 24 evenly distributed points on a sphere by means of simulated annealing
96-33 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
97-33 reference(s)		 Mountains at sunrise
98-33 reference(s)		 From Pluto to the Sun (non linear scales)
99-33 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
100-32 reference(s)
The generalized Ulam spiral displaying 100 numbers
101-32 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
102-32 reference(s)		 Anaglyph -blue=right, red=left- of a fractal-fractal tree
103-32 reference(s)		 Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
104-31 reference(s)
Botticelli anomaly on the Moon
105-31 reference(s)		 No Title 0155 -a tribute to Yves Tanguy-
106-31 reference(s)		 The personal liberty
107-31 reference(s)		 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-
108-31 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
109-31 reference(s)		 A pseudo-periodical Penrose tiling of the plane
110-30 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
111-30 reference(s)		 The multiplicative persistence of the 65536 first integer numbers for the bases 2 -lower left- to 17 -upper right-
112-30 reference(s)
Monument Valley à la David Hockney
113-30 reference(s)		 A set of 4x3 stereograms of a tridimensional interpolation between a fractal structure and a cubic mesh
114-30 reference(s)		 Synthesis of tridimensional textures
115-30 reference(s)		 Generation of the 63x63 first Conway's surreal complex numbers
116-29 reference(s)
Fractal natural form
117-29 reference(s)		 The 126.646 first digits -base 6- of 'phi' -the golden ratio- displayed as an 'absolute' tridimensional random walk
118-29 reference(s)		 A fractal polyhedron
119-29 reference(s)		 Rotation about the Y (vertical)axis of the CMAP logo that can also be viewed as a set of 4x3 stereograms
120-29 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
121-28 reference(s)		 Generation of the 63 first Conway's surreal numbers
122-28 reference(s)		 Artistic display of a Sudoku grid
123-28 reference(s)		 Synthesis of bidimensional geometrical textures
124-27 reference(s)
A tridimensional Möbius-like manifold defined by means of three tridimensional fields
125-27 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation
126-27 reference(s)		 The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
127-27 reference(s)		 The Birth of the Universe
128-27 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
546 reference(s)		 2-An2000.01.Fra
466 reference(s)
3-Stereogrammes_AutoStereogrammes.01
436 reference(s)		 4-Informations_GoodNewsAndBadNews.01.Fra
396 reference(s)
5-FloatingPointNumbers.01.Fra
392 reference(s)		 6-Fractal.01
388 reference(s)
7-help.
348 reference(s)		 8-GenieLogiciel_VisualisationScientifique.01.vv
342 reference(s)
9-AQuoiServentLesMathematiques.01
325 reference(s)		 10-AVirtualSpaceTimeTravelMachine.Ang
322 reference(s)
11-Galerie_Tributes.FV
312 reference(s)		 12-Galerie_DeterministicFractalGeometry.FV
307 reference(s)
13-Galerie_NumberTheory.FV
295 reference(s)		 14-FaireDeLaRecherche.01.vv
292 reference(s)
15-MathematiquesPhysiqueFractales.02
286 reference(s)		 16-AVirtualSpaceTimeTravelMachine.Fra
273 reference(s)
17-RealNumbers.01.Fra
269 reference(s)		 18-fractal.01
256 reference(s)
19-MorePages.
248 reference(s)		 20-SurfaceProjector.01.Fra
244 reference(s)
21-AnimFractal.01.
237 reference(s)		 22-copyright.01.
232 reference(s)
23-UlamSpiral.01.Fra
232 reference(s)		 24-mail.01.vv
230 reference(s)
25-Galerie_NewPictures.FV
230 reference(s)		 26-NDimensionalDeterministicFractalSets.01.Fra
227 reference(s)
27-NombresEtLumiere.01.vv.Fra
226 reference(s)		 28-Galerie_CelestialMechanics.FV
223 reference(s)
29-GoldenTriangle.01.Fra
222 reference(s)		 30-Galerie_QuantumMechanics.FV
219 reference(s)
31-Galerie_GeneralitiesVisualization.FV
218 reference(s)		 32-MathematiquesPhysiqueFractales.22
216 reference(s)
33-AProposSite.01.Fra
214 reference(s)		 34-Galerie_ArtisticCreation.FV
211 reference(s)
35-DieuScience.01.Fra
209 reference(s)		 36-ExpV_VirE.11
208 reference(s)
37-fairedelarecherche.01.vv
207 reference(s)		 38-MonodimensionalCellularAutomata.01.Ang
203 reference(s)
39-Fractal.11
203 reference(s)		 40-NDimensionalDeterministicFractalSets.01.Ang
201 reference(s)
41-MonodimensionalCellularAutomata.01.Fra
201 reference(s)		 42-SurfaceProjector.01.Ang
200 reference(s)
43-Galerie_Astrophysics.FV
200 reference(s)		 44-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
196 reference(s)
45-Autostereograms.01.
196 reference(s)		 46-ImagesDuVirtuel.01.Fra.FV
194 reference(s)
47-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
193 reference(s)		 48-Kepler.02.
193 reference(s)
49-LOG_xiMc.11
192 reference(s)		 50-EntrelacsIntertwinings.01.Ang
192 reference(s)
51-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
192 reference(s)		 52-Galerie_TextureSynthesis.FV
190 reference(s)
53-DuModeleALImage.02.Fra
190 reference(s)		 54-Galerie_BestOf.FV
189 reference(s)
55-catalogue.11
186 reference(s)		 56-GenieLogiciel.01.Fra
185 reference(s)
57-infinity.01.vv
184 reference(s)		 58-EntrelacsIntertwinings.01.Fra
184 reference(s)
59-Galerie_DeterministicChaos.FV
183 reference(s)		 60-Galerie_ArtAndScience.FV
183 reference(s)
61-present.01.
182 reference(s)		 62-Galerie_ParticleSystems.FV
181 reference(s)
63-PatrimoineHumanite.02.Fra
178 reference(s)		 64-subject.01.
177 reference(s)
65-FloatingPointNumbers.01.Ang
176 reference(s)		 66-OrdinateurMathematiquesArt.01.Fra
175 reference(s)
67-ImpossibleStructures.01.Ang
175 reference(s)		 68-NatureDesMathematiques.01.vv.Fra
174 reference(s)
69-an2000
173 reference(s)		 70-ImpossibleStructures.01.Fra
173 reference(s)
71-realnumbers
172 reference(s)		 72-logiciel
172 reference(s)
73-infinity.02.vv
172 reference(s)		 74-demo14
172 reference(s)
75-OrdinateursEtCalculs.01.Fra
172 reference(s)		 76-IllusionConnaissance.02
172 reference(s)
77-nombresreels
171 reference(s)		 78-genielogiciel
171 reference(s)
79-demo
171 reference(s)		 80-Fractal.03
170 reference(s)
81-demo.14
168 reference(s)		 82-ExpV_VirE.Ang
168 reference(s)
83-EnsembleDesGaleriesFractales.DIAPO.0001
168 reference(s)		 84-Informations_AboutPicturesAnimationsAndFiles.01.Ang
167 reference(s)
85-Galerie_SignalProcessing.FV
166 reference(s)		 86-PerteDeLAssociativite.01
165 reference(s)
87-ManyChaos.01.Fra
164 reference(s)		 88-MathematiquesModeleOutilArtiste.02.Ang
163 reference(s)
89-GoldenTriangle.01.Ang
163 reference(s)		 90-aquoiserventlesmathematiques.01
162 reference(s)
91-UlamSpiral.01.Ang
162 reference(s)		 92-ExpV_VirE.21
162 reference(s)
93-AvantPropos.01.Fra
162 reference(s)		 94-LesApprentisDieux.01
161 reference(s)
95-create.03.
160 reference(s)		 96-VisitesGaleriesEnfouies.01.Fra
159 reference(s)
97-ManyChaos.01.Ang
159 reference(s)		 98-OrdinateursEtCalculs.01.Ang
157 reference(s)
99-Galerie_FluidMechanics.FV
157 reference(s)		 100-VirtualChaos.01.Fra
156 reference(s)
101-Galerie_SensitivityToRoundingOffErrors.FV
156 reference(s)		 102-EnsembleDesGaleries.DIAPO.0001
156 reference(s)
103-VirtualChaos.01.Ang
154 reference(s)		 104-RemarquesCerveau.01
154 reference(s)
105-AvantPropos.01.Ang
154 reference(s)		 106-Spheres.01
153 reference(s)
107-QuelquesQuestionsSurLaRecherche.01.Fra
153 reference(s)		 108-Fractal.02
153 reference(s)
109-Vcatalogue.11
152 reference(s)		 110-MathematiquesEtCinematographe.01.vv
152 reference(s)
111-VisitesGaleriesEnfouies.01.Ang
149 reference(s)		 112-Informations_GoodNewsAndBadNews.01.Ang
146 reference(s)
113-Informations_AboutPicturesAnimationsAndFiles.01.Fra
146 reference(s)		 114-MathematiquesPhysiqueFractales.01
142 reference(s)
115-Galerie_ImagesDesMathematiques.FV
142 reference(s)		 116-ExpV_VirE.01.Fra
142 reference(s)
117-MathematiquesEtRepresentations.01.vv.Ang
139 reference(s)		 118-An2000.01.Ang
139 reference(s)
119-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
135 reference(s)		 120-ArtEtMathematiques.01
135 reference(s)
121-ExpV_VirE.Fra
132 reference(s)		 122-Commentaires_NKleinBottle.01
130 reference(s)
123-AQuoiServentLesMathematiques.03
129 reference(s)		 124-Galeries.01.vv
128 reference(s)
125-expv_vire.11
127 reference(s)		 126-ScienceEtVirtuel.01.Fra
126 reference(s)
127-VisSci_SciVis.02
125 reference(s)		 128-Commentaires_ProblemeDesNCorps.01
125 reference(s)

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Copyright (c) Jean-François Colonna, 2015-2019.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2015-2019.