Monthly Best Of on 05/28/2011




Tridimensional visualization of the Mandelbrot set with mapping of the arguments

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:



From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
1-65 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-62 reference(s)
Mountains at sunrise
3-50 reference(s)
Quark and gluon structure of a nucleon
4-48 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
5-45 reference(s)
Autostereogram with an hidden volcano
6-44 reference(s)
The random walk of photons escaping the Sun
7-40 reference(s)
Zoom in on the von Koch curve
8-39 reference(s)
The Lorenz attractor
9-35 reference(s)
Texture animation by means of the generalized Fourier filtering process
10-35 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
11-35 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
12-33 reference(s)
The Möbius strip
13-30 reference(s)
Quantum vacuum fluctuations
14-28 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
15-28 reference(s)
Artistic view of the prime numbers
16-27 reference(s)
Universe or Multiverse -The fractal Universe-?
17-26 reference(s)
Intertwining
18-25 reference(s)
Autostereogram with an hidden volcano
19-25 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
20-23 reference(s)
True colors autostereogram of a fractal landscape
21-22 reference(s)
Hypercube
22-22 reference(s)
The random walk of photons escaping the Sun
23-21 reference(s)
The random walk of photons escaping the Sun
24-21 reference(s)
A foggy 'MandelBox' -tridimensional cross-section-
25-21 reference(s)
Autostereogram with an hidden volcano
26-20 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
27-19 reference(s)
A fractal surface (eight iterations)defined by means of three bidimensional fields
28-19 reference(s)
The generalized Ulam spiral
29-19 reference(s)
Triple impossible staircase built by means of a paradoxal structure -a tribute to M.C. Escher-
30-19 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
31-19 reference(s)
Paradoxal Monument Valley at sunset
32-17 reference(s)
From the infinitely small to the infinitely big
33-17 reference(s)
The Jeener's triple Klein bottle
34-17 reference(s)
Intertwining
35-16 reference(s)
Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
36-16 reference(s)
Autostereogram of Monument Valley
37-16 reference(s)
Quark and gluon structure of a nucleon
38-15 reference(s)
A shell (Jeener surface 1)in motion
39-15 reference(s)
Along the border of the Mandelbrot set
40-14 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
41-14 reference(s)
The Bonan-Jeener's triple Klein bottle
42-14 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
43-13 reference(s)
The Klein bottle
44-13 reference(s)
Artistic view of the Big Bang
45-12 reference(s)
Fractal natural form
46-12 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
47-12 reference(s)
The Scream -a Tribute to Edvard Munch-
48-12 reference(s)
The generalized Ulam spiral displaying 100 numbers
49-12 reference(s)
An arbitrary surface (Jeener surface 2)in motion
50-12 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
51-12 reference(s)
The Birth of the Universe
52-12 reference(s)
Intertwining based on the geometry of the sphere
53-12 reference(s)
Quark and gluon dynamics of the nucleon
54-11 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
55-11 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
56-11 reference(s)
The Jeener's triple Klein bottle
57-11 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0) (bird's-eye view)
58-10 reference(s)
Zoom in on the von Koch curve
59-10 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
60-10 reference(s)
Paradoxal black hole
61-10 reference(s)
Recursive intertwining
62-10 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
63-10 reference(s)
Autostereogram with an hidden ring and ghost bows
64-10 reference(s)
Autostereogram with an hidden volcano
65-10 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
66-10 reference(s)
Pinky mystery mountain
67-10 reference(s)
Tridimensional visualization of the Verhulst dynamics
68-10 reference(s)
The 'peeling' of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')-tridimensional cross-section-
69-10 reference(s)
A quaternionic Julia set -tridimensional cross-section-
70-10 reference(s)
Integration of 128 tridimensional cross-sections of a quaternionic Julia set computed along its fourth axis
71-10 reference(s)
Jean-François Colonna
72-10 reference(s)
La Génèse (1974)
73-10 reference(s)
Fractal diffusion front in a bidimensional medium obtained by means of a random walk process
74-10 reference(s)
The tower -a tribute to Vladimir Tatline-
75-10 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
76-10 reference(s)
Artistic view of the Big Bang
77-9 reference(s)
Paradoxal structure based on the geometry of the Boy surface
78-9 reference(s)
No Title 0031
79-9 reference(s)
Fractal natural form
80-9 reference(s)
Texture animation by means of Fourier filtering of a random walk process
81-9 reference(s)
Texture animation by means of the Generalized Product with Fourier filtering
82-9 reference(s)
The generalized Ulam spiral displaying 1024 numbers
83-9 reference(s)
32 points on a trigonometric circle
84-9 reference(s)
Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
85-9 reference(s)
Tridimensional visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
86-9 reference(s)
3-foil knot
87-9 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
88-9 reference(s)
A shell (Jeener surface 1)
89-9 reference(s)
The first two iterations of the construction of the von Koch curve
90-8 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
91-8 reference(s)
16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
92-8 reference(s)
Intertwining
93-8 reference(s)
Recursive intertwining
94-8 reference(s)
Chessboard
95-8 reference(s)
The Boy surface
96-8 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
97-8 reference(s)
Synthesis of tridimensional symmetrical geometrical textures
98-8 reference(s)
A tridimensional twisted torus-like manifold defined by means of three tridimensional fields
99-8 reference(s)
'There is a war' -a Tribute to Leonard Cohen-
100-8 reference(s)
Synthesis of bidimensional textures by means of a fractal process
101-8 reference(s)
An Archimedes spiral displaying 1000 numbers
102-8 reference(s)
Foggy Archimedes mountains
103-8 reference(s)
Botticelli anomaly on the Moon
104-8 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
105-8 reference(s)
From Pluto to the Sun -extrapolation 2- (non linear scales)
106-8 reference(s)
A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
107-8 reference(s)
Tridimensional zoom in on the Mandelbrot set with mapping of the arguments
108-8 reference(s)
The Lorenz attractor in motion
109-8 reference(s)
The Lorenz attractor
110-8 reference(s)
Consciousness exploring Mathematics
111-8 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-
112-8 reference(s)
Jean-François Colonna
113-8 reference(s)
Happy new year 2000
114-8 reference(s)
Double impossible staircase painting a paradoxal structure
115-8 reference(s)
Electron-positron scattering
116-8 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
117-8 reference(s)
Two alternative monodimensional 'quasi-continuous' cellular automata
118-8 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
119-7 reference(s)
Vibrations 0002
120-7 reference(s)
No Title 0038
121-7 reference(s)
No Title 0099
122-7 reference(s)
Along the border of the Mandelbrot set
123-7 reference(s)
Paradoxal structure
124-7 reference(s)
Fractal network
125-7 reference(s)
Network
126-7 reference(s)
Intertwining
127-7 reference(s)
Autostereogram with an hidden volcano
128-7 reference(s)




2-The 128 most referenced Pages:



1-demo_14
484 reference(s)
2-NDimensionalDeterministicFractalSets.01.Ang
231 reference(s)
3-AVirtualSpaceTimeTravelMachine.Ang
227 reference(s)
4-help.
203 reference(s)
5-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
189 reference(s)
6-An2000.01.Fra
171 reference(s)
7-Fractal.01
164 reference(s)
8-SurfaceProjector.01.Ang
162 reference(s)
9-Galerie_DeterministicFractalGeometry.FV
155 reference(s)
10-ExpV_VirE.11
146 reference(s)
11-MathematiquesPhysiqueFractales.02
142 reference(s)
12-Vcatalogue.11
139 reference(s)
13-NatureDesMathematiques.01.vv.Fra
137 reference(s)
14-NDimensionalDeterministicFractalSets.01.Fra
136 reference(s)
15-Galerie_GeneralitiesVisualization.FV
136 reference(s)
16-ImagesDuVirtuel.01.Fra.FV
132 reference(s)
17-SurfaceProjector.01.Fra
130 reference(s)
18-Galerie_ArtisticCreation.FV
129 reference(s)
19-FaireDeLaRecherche.01.vv
127 reference(s)
20-AVirtualSpaceTimeTravelMachine.Fra
124 reference(s)
21-GenieLogiciel_VisualisationScientifique.01.vv
123 reference(s)
22-FloatingPointNumbers.01.Fra
121 reference(s)
23-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
118 reference(s)
24-ImpossibleStructures.01.Ang
115 reference(s)
25-Autostereograms.01.
114 reference(s)
26-MonodimensionalCellularAutomata.01.Fra
113 reference(s)
27-mail.01.vv
112 reference(s)
28-Galerie_ParticleSystems.FV
111 reference(s)
29-Stereogrammes_AutoStereogrammes.01
110 reference(s)
30-Galerie_TextureSynthesis.FV
110 reference(s)
31-Galerie_DeterministicChaos.FV
110 reference(s)
32-Galerie_ArtAndScience.FV
110 reference(s)
33-infinity.01.vv
109 reference(s)
34-Galerie_QuantumMechanics.FV
109 reference(s)
35-Galerie_NewPictures.FV
109 reference(s)
36-AProposSite.01.Fra
108 reference(s)
37-FloatingPointNumbers.01.Ang
106 reference(s)
38-infinity.02.vv
105 reference(s)
39-MonodimensionalCellularAutomata.01.Ang
105 reference(s)
40-GenieLogiciel.01.Fra
105 reference(s)
41-EntrelacsIntertwinings.01.Ang.DIAPO.0473
103 reference(s)
42-EntrelacsIntertwinings.01.Ang
103 reference(s)
43-AnimFractal.01.
103 reference(s)
44-RealNumbers.01.Fra
102 reference(s)
45-IllusionConnaissance.02
102 reference(s)
46-AQuoiServentLesMathematiques.01
102 reference(s)
47-copyright.01.
101 reference(s)
48-EntrelacsIntertwinings.01.Ang.DIAPO.0472
101 reference(s)
49-Informations_AboutPicturesAnimationsAndFiles.01.Ang
100 reference(s)
50-Galerie_SignalProcessing.FV
100 reference(s)
51-Galerie_FluidMechanics.FV
100 reference(s)
52-Galerie_Astrophysics.FV
100 reference(s)
53-Galerie_ArtisticCreation.DIAPO.0187
100 reference(s)
54-EntrelacsIntertwinings.01.Ang.DIAPO.0475
100 reference(s)
55-EntrelacsIntertwinings.01.Ang.DIAPO.0474
100 reference(s)
56-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
100 reference(s)
57-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0379
99 reference(s)
58-ImagesDuVirtuel.01.Fra
99 reference(s)
59-Commentaires_NKleinBottle.01
99 reference(s)
60-PatrimoineHumanite.02.Fra
98 reference(s)
61-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0378
98 reference(s)
62-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0377
98 reference(s)
63-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0376
98 reference(s)
64-Galerie_SensitivityToRoundingOffErrors.FV
98 reference(s)
65-Galerie_DeterministicFractalGeometry.DIAPO.0064
98 reference(s)
66-Galerie_ArtisticCreation.DIAPO.0192
98 reference(s)
67-Galerie_ArtisticCreation.DIAPO.0188
98 reference(s)
68-present.01.
97 reference(s)
69-catalogue.11
97 reference(s)
70-ManyChaos.01.Ang
97 reference(s)
71-Galerie_SalonDAutomne.FV
97 reference(s)
72-Galerie_NumberTheory.FV
97 reference(s)
73-Galerie_CelestialMechanics.FV
97 reference(s)
74-Galerie_ArtisticCreation.DIAPO.0191
97 reference(s)
75-Galerie_ArtisticCreation.DIAPO.0189
97 reference(s)
76-Galerie_ArtisticCreation.DIAPO.0183
97 reference(s)
77-EntrelacsIntertwinings.01.Ang.DIAPO.0471
97 reference(s)
78-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0380
96 reference(s)
79-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0375
96 reference(s)
80-EntrelacsIntertwinings.01.Ang.DIAPO.0468
96 reference(s)
81-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0382
95 reference(s)
82-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0381
95 reference(s)
83-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0374
95 reference(s)
84-MathematiquesPhysiqueFractales.01
95 reference(s)
85-Galerie_DeterministicFractalGeometry.DIAPO.0063
95 reference(s)
86-Galerie_CollaborativeWorks..FV
95 reference(s)
87-Galerie_ArtisticCreation.DIAPO.0193
95 reference(s)
88-Galerie_ArtisticCreation.DIAPO.0190
95 reference(s)
89-Galerie_ArtisticCreation.DIAPO.0186
95 reference(s)
90-Galerie_ArtisticCreation.DIAPO.0182
95 reference(s)
91-Galerie_ArtisticCreation.DIAPO.0180
95 reference(s)
92-ExpV_VirE.21
95 reference(s)
93-EntrelacsIntertwinings.01.Ang.DIAPO.0476
95 reference(s)
94-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0373
94 reference(s)
95-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0368
94 reference(s)
96-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0367
94 reference(s)
97-Informations_AboutPicturesAnimationsAndFiles.01.Fra
94 reference(s)
98-Galerie_ArtisticCreation.DIAPO.0194
94 reference(s)
99-Galerie_ArtisticCreation.DIAPO.0184
94 reference(s)
100-Galerie_ArtisticCreation.DIAPO.0181
94 reference(s)
101-Galerie_ArtisticCreation.DIAPO.0179
94 reference(s)
102-EntrelacsIntertwinings.01.Ang.DIAPO.0477
94 reference(s)
103-EntrelacsIntertwinings.01.Ang.DIAPO.0470
94 reference(s)
104-EntrelacsIntertwinings.01.Ang.DIAPO.0469
94 reference(s)
105-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0383
93 reference(s)
106-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0372
93 reference(s)
107-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0370
93 reference(s)
108-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0369
93 reference(s)
109-Kepler.02.
93 reference(s)
110-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
93 reference(s)
111-Galerie_DeterministicFractalGeometry.DIAPO.0062
93 reference(s)
112-Galerie_DeterministicFractalGeometry.DIAPO.0061
93 reference(s)
113-EntrelacsIntertwinings.01.Ang.DIAPO.0467
93 reference(s)
114-DieuScience.01.Fra
93 reference(s)
115-PerteDeLAssociativite.01
92 reference(s)
116-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0371
92 reference(s)
117-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0366
92 reference(s)
118-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0365
92 reference(s)
119-HommageBenoitMandelbrot.21
92 reference(s)
120-Galerie_ArtisticCreation.DIAPO.0195
92 reference(s)
121-Galerie_ArtisticCreation.DIAPO.0185
92 reference(s)
122-EntrelacsIntertwinings.01.Ang.DIAPO.0478
92 reference(s)
123-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0363
91 reference(s)
124-LOG_xiMc.11
91 reference(s)
125-Galerie_DeterministicFractalGeometry.DIAPO.0054
91 reference(s)
126-Galerie_ArtisticCreation.DIAPO.0176
91 reference(s)
127-EntrelacsIntertwinings.01.Fra
91 reference(s)
128-EntrelacsIntertwinings.01.Ang.DIAPO.0466
91 reference(s)

And now, enjoy visiting A Virtual Space-Time Travel Machine.




Copyright (c) Jean-François Colonna, 2011-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2011-2018.