Monthly Best Of on 09/28/2011




Fractal diffusion front in a bidimensional medium obtained by means of identical interacting particles

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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(CMAP28 WWW site: this page was created on 09/28/2011 and last updated on 06/30/2018 14:05:29 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Tridimensional representation of a quadridimensional Calabi-Yau manifold
1-158 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
2-131 reference(s)
The Lorenz attractor
3-82 reference(s)
Artistic view of the prime numbers
4-79 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
5-75 reference(s)
Jean-François Colonna
6-66 reference(s)
The random walk of photons escaping the Sun
7-63 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
8-62 reference(s)
Quark and gluon structure of a nucleon
9-61 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
10-61 reference(s)
The random walk of photons escaping the Sun
11-59 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
12-55 reference(s)
Zoom in on the von Koch curve
13-54 reference(s)
Quantum vacuum fluctuations
14-52 reference(s)
Intertwining
15-48 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
16-45 reference(s)
Octonionic archimedian spirals with extended arithmetics
17-40 reference(s)
Quark and gluon structure of a nucleon
18-39 reference(s)
Octonionic clovers with extended arithmetics
19-38 reference(s)
The Möbius strip
20-38 reference(s)
Hypercube
21-38 reference(s)
Paradoxal Monument Valley at sunset
22-36 reference(s)
From the infinitely small to the infinitely big
23-36 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
24-35 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)
25-34 reference(s)
Mountains at sunrise
26-33 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-
27-32 reference(s)
Along the border of the Mandelbrot set
28-31 reference(s)
Autostereogram with an hidden volcano
29-31 reference(s)
Fractal structure of a nucleon
30-31 reference(s)
The generalized Ulam spiral displaying 100 numbers
31-31 reference(s)
A tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
32-30 reference(s)
The random walk of photons escaping the Sun
33-28 reference(s)
Artistic view of the Big Bang
34-27 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
35-27 reference(s)
Recursive intertwining
36-26 reference(s)
Double impossible staircase
37-26 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
38-26 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
39-25 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
40-25 reference(s)
2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
41-25 reference(s)
The Birth of the Universe
42-25 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
43-25 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
44-24 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
45-24 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
46-24 reference(s)
The generalized Ulam spiral displaying 1024 numbers
47-23 reference(s)
Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
48-23 reference(s)
The Lorenz attractor
49-23 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-
50-23 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
51-23 reference(s)
No Title 0137 -'Jour de Lenteur', a tribute to Yves Tanguy-
52-22 reference(s)
Octonionic mountains with extended arithmetics
53-22 reference(s)
Happy new year 2000
54-22 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
55-22 reference(s)
Autostereogram with an hidden volcano
56-21 reference(s)
The Jeener's triple Klein bottle
57-21 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
58-20 reference(s)
Alien
59-20 reference(s)
Botticelli anomaly on the Moon
60-20 reference(s)
Close-up on 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-
61-20 reference(s)
Jean-Francois Colonna meets Georgii Fedeorovitch Voronoi (non euclidian distance)
62-20 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
63-19 reference(s)
Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
64-19 reference(s)
True colors autostereogram of a fractal landscape
65-19 reference(s)
From Pluto to the Sun
66-19 reference(s)
Tridimensional visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
67-19 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
68-19 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
69-19 reference(s)
Autostereogram with an hidden volcano
70-18 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
71-18 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
72-18 reference(s)
Animation of a sunrise on mountains
73-18 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
74-18 reference(s)
A shell (Jeener surface 1)in motion
75-18 reference(s)
256 elementary monodimensional binary cellular automata with 56% of white starting points (bottom left is the automata number 0 when top right is the number 255)
76-18 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0) (bird's-eye view)
77-17 reference(s)
The Scream -a Tribute to Edvard Munch-
78-17 reference(s)
The octonionic Julia set computed with A=(-0.58...,+0.63...,0,0,0,0,0,0)-tridimensional cross-section-
79-17 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
80-17 reference(s)
Electron-positron scattering
81-17 reference(s)
Autostereogram with an hidden ring and ghost bows
82-16 reference(s)
Autostereogram of Monument Valley
83-16 reference(s)
Mountains at sunrise
84-16 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
85-16 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
86-16 reference(s)
A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-'the children round' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
87-16 reference(s)
Tridimensional visualization of the Verhulst dynamics
88-16 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
89-16 reference(s)
Close-up on 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-
90-16 reference(s)
Impossible structure
91-16 reference(s)
Bidimensional clouds or height field
92-16 reference(s)
Triple impossible staircase built by means of a paradoxal structure -a tribute to M.C. Escher-
93-16 reference(s)
Cliffs at sunset
94-16 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
95-16 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
96-15 reference(s)
12 evenly distributed points on a sphere -an Icosahedron- by means of simulated annealing
97-15 reference(s)
Mystery mountain at sunrise
98-15 reference(s)
Monument Valley at sunrise
99-15 reference(s)
Different modes of representation of a tridimensional cross-section of a Quaternionic Julia set
100-15 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
101-15 reference(s)
A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
102-15 reference(s)
The quaternionic Mandelbrot set -tridimensional cross-section-
103-15 reference(s)
Tridimensional visualization of the Verhulst dynamics
104-15 reference(s)
The monsters of the lily pond
105-15 reference(s)
A quaternionic Julia set -tridimensional cross-section-
106-15 reference(s)
Artistic view of a quaternionic Julia set -tridimensional cross-section-
107-15 reference(s)
A quaternionic Julia set -tridimensional cross-section-
108-15 reference(s)
The Bonan-Jeener's triple Klein bottle
109-15 reference(s)
Paradoxal structure
110-14 reference(s)
Bidimensional fractal aggregate obtained by means of a 50% pasting process during collisions of particles submitted to a vertical field of gravity
111-14 reference(s)
Brownian motion of a few heavy slow particles inside a gaz of fast light particles with increasing mass ratio (heavy/light=1,10,100,1000)
112-14 reference(s)
Recursive pentagon
113-14 reference(s)
'There is a war' -a Tribute to Leonard Cohen-
114-14 reference(s)
A set of 4x3 stereograms of a fractal mountain
115-14 reference(s)
Light clouds
116-14 reference(s)
The Solar System with a dark blue virtual planet -virtual planet point of view-
117-14 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
118-14 reference(s)
A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(0,1,0,0,0,0,0,0) -tridimensional cross-section-
119-14 reference(s)
A set of 4x3 stereograms of the quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
120-14 reference(s)
Happy new year 2000
121-14 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
122-14 reference(s)
A gradient of 128312 particles obtains by means of a tridimensional diffusion process
123-14 reference(s)
Electron-neutrino scattering
124-14 reference(s)
Light clouds at sunset
125-14 reference(s)
Bidimensional brownian motion with a gaussian distribution law regarding the radial coordinate
126-14 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0)
127-13 reference(s)
Universe or Multiverse -The fractal Universe-?
128-13 reference(s)




2-The 128 most referenced Pages:



1-demo_14
1064 reference(s)
2-Galerie_GeneralitiesVisualization.FV
436 reference(s)
3-help.
426 reference(s)
4-AVirtualSpaceTimeTravelMachine.Ang
406 reference(s)
5-An2000.01.Fra
388 reference(s)
6-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
366 reference(s)
7-FloatingPointNumbers.01.Fra
339 reference(s)
8-Galerie_DeterministicFractalGeometry.FV
317 reference(s)
9-AQuoiServentLesMathematiques.01
316 reference(s)
10-ImagesDuVirtuel.01.Fra.FV
289 reference(s)
11-SurfaceProjector.01.Ang
284 reference(s)
12-NDimensionalDeterministicFractalSets.01.Fra
281 reference(s)
13-Fractal.01
279 reference(s)
14-NDimensionalDeterministicFractalSets.01.Ang
273 reference(s)
15-AVirtualSpaceTimeTravelMachine.Fra
270 reference(s)
16-MathematiquesPhysiqueFractales.02
252 reference(s)
17-Galerie_NewPictures.FV
252 reference(s)
18-Galerie_ArtisticCreation.FV
252 reference(s)
19-EntrelacsIntertwinings.01.Ang.DIAPO.0516
252 reference(s)
20-SurfaceProjector.01.Fra
248 reference(s)
21-aquoiserventlesmathematiques.01
242 reference(s)
22-GenieLogiciel_VisualisationScientifique.01.vv
242 reference(s)
23-Galerie_NumberTheory.FV
241 reference(s)
24-Stereogrammes_AutoStereogrammes.01
237 reference(s)
25-MonodimensionalCellularAutomata.01.Fra
237 reference(s)
26-ExpV_VirE.11
235 reference(s)
27-EntrelacsIntertwinings.01.Ang.DIAPO.0515
235 reference(s)
28-NatureDesMathematiques.01.vv.Fra
233 reference(s)
29-EntrelacsIntertwinings.01.Ang.DIAPO.0514
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30-EntrelacsIntertwinings.01.Ang.DIAPO.0473
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31-EntrelacsIntertwinings.01.Ang.DIAPO.0472
233 reference(s)
32-ImpossibleStructures.01.Ang
232 reference(s)
33-EntrelacsIntertwinings.01.Ang.DIAPO.0471
226 reference(s)
34-EntrelacsIntertwinings.01.Ang.DIAPO.0474
224 reference(s)
35-EntrelacsIntertwinings.01.Ang.DIAPO.0475
223 reference(s)
36-Galerie_CelestialMechanics.FV
222 reference(s)
37-FloatingPointNumbers.01.Ang
222 reference(s)
38-EntrelacsIntertwinings.01.Ang.DIAPO.0513
222 reference(s)
39-Galerie_ParticleSystems.FV
221 reference(s)
40-Galerie_ArtAndScience.DIAPO.0157
221 reference(s)
41-FaireDeLaRecherche.01.vv
221 reference(s)
42-Galerie_ArtAndScience.DIAPO.0158
220 reference(s)
43-Galerie_ArtAndScience.FV
219 reference(s)
44-EntrelacsIntertwinings.01.Ang.DIAPO.0470
219 reference(s)
45-Autostereograms.01.
219 reference(s)
46-Galerie_ArtisticCreation.DIAPO.0203
218 reference(s)
47-Galerie_ArtAndScience.DIAPO.0156
218 reference(s)
48-Galerie_ArtisticCreation.DIAPO.0198
217 reference(s)
49-EntrelacsIntertwinings.01.Ang.DIAPO.0476
217 reference(s)
50-Galerie_ArtisticCreation.DIAPO.0199
216 reference(s)
51-Galerie_ArtisticCreation.DIAPO.0189
216 reference(s)
52-Galerie_ArtAndScience.DIAPO.0155
216 reference(s)
53-EntrelacsIntertwinings.01.Ang.DIAPO.0512
216 reference(s)
54-GenieLogiciel.01.Fra
215 reference(s)
55-Galerie_DeterministicFractalGeometry.DIAPO.0053
215 reference(s)
56-Galerie_DeterministicFractalGeometry.DIAPO.0052
215 reference(s)
57-Galerie_ArtisticCreation.DIAPO.0201
215 reference(s)
58-Galerie_ArtisticCreation.DIAPO.0200
215 reference(s)
59-Galerie_ArtisticCreation.DIAPO.0188
215 reference(s)
60-Galerie_ArtisticCreation.DIAPO.0187
215 reference(s)
61-Galerie_ArtAndScience.DIAPO.0167
215 reference(s)
62-Galerie_ArtAndScience.DIAPO.0165
215 reference(s)
63-EntrelacsIntertwinings.01.Ang.DIAPO.0469
215 reference(s)
64-EntrelacsIntertwinings.01.Ang.DIAPO.0468
215 reference(s)
65-Galerie_DeterministicChaos.FV
214 reference(s)
66-Galerie_ArtisticCreation.DIAPO.0176
214 reference(s)
67-Galerie_ArtAndScience.DIAPO.0161
214 reference(s)
68-Galerie_ArtAndScience.DIAPO.0160
214 reference(s)
69-Galerie_ArtAndScience.DIAPO.0159
214 reference(s)
70-Galerie_ArtAndScience.DIAPO.0154
214 reference(s)
71-Galerie_DeterministicFractalGeometry.DIAPO.0044
213 reference(s)
72-Galerie_ArtisticCreation.DIAPO.0182
213 reference(s)
73-EntrelacsIntertwinings.01.Ang.DIAPO.0477
213 reference(s)
74-Galerie_ArtisticCreation.DIAPO.0202
212 reference(s)
75-Galerie_ArtisticCreation.DIAPO.0177
212 reference(s)
76-Galerie_ArtAndScience.DIAPO.0166
212 reference(s)
77-EntrelacsIntertwinings.01.Ang.DIAPO.0467
212 reference(s)
78-AProposSite.01.Fra
212 reference(s)
79-Galerie_DeterministicFractalGeometry.DIAPO.0063
211 reference(s)
80-Galerie_DeterministicFractalGeometry.DIAPO.0051
211 reference(s)
81-Galerie_ArtisticCreation.DIAPO.0191
211 reference(s)
82-Galerie_ArtisticCreation.DIAPO.0190
211 reference(s)
83-Galerie_ArtisticCreation.DIAPO.0184
211 reference(s)
84-Galerie_ArtisticCreation.DIAPO.0183
211 reference(s)
85-Galerie_ArtisticCreation.DIAPO.0175
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86-Galerie_ArtAndScience.DIAPO.0164
211 reference(s)
87-Galerie_ArtAndScience.DIAPO.0152
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88-Galerie_DeterministicFractalGeometry.DIAPO.0047
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89-Galerie_ArtisticCreation.DIAPO.0196
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90-Galerie_ArtisticCreation.DIAPO.0186
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91-Galerie_ArtisticCreation.DIAPO.0179
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92-Galerie_ArtisticCreation.DIAPO.0178
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93-Galerie_ArtAndScience.DIAPO.0151
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94-EntrelacsIntertwinings.01.Ang.DIAPO.0511
210 reference(s)
95-RealNumbers.01.Fra
209 reference(s)
96-ImpossibleStructures.01.Fra
209 reference(s)
97-Galerie_QuantumMechanics.FV
209 reference(s)
98-Galerie_ArtisticCreation.DIAPO.0181
209 reference(s)
99-Galerie_ArtisticCreation.DIAPO.0180
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100-Galerie_ArtAndScience.DIAPO.0162
209 reference(s)
101-Galerie_ArtAndScience.DIAPO.0147
209 reference(s)
102-DieuScience.01.Fra
209 reference(s)
103-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0388
208 reference(s)
104-Galerie_ParticleSystems.DIAPO.0070
208 reference(s)
105-Galerie_DeterministicFractalGeometry.DIAPO.0064
208 reference(s)
106-Galerie_DeterministicFractalGeometry.DIAPO.0061
208 reference(s)
107-Galerie_DeterministicFractalGeometry.DIAPO.0050
208 reference(s)
108-Galerie_DeterministicFractalGeometry.DIAPO.0046
208 reference(s)
109-Galerie_BestOf.DIAPO.0028
208 reference(s)
110-Galerie_ArtisticCreation.DIAPO.0197
208 reference(s)
111-Galerie_ArtAndScience.DIAPO.0153
208 reference(s)
112-Galerie_ArtAndScience.DIAPO.0150
208 reference(s)
113-Galerie_ArtAndScience.DIAPO.0148
208 reference(s)
114-AnimFractal.01.
208 reference(s)
115-Galerie_ParticleSystems.DIAPO.0072
207 reference(s)
116-Galerie_DeterministicFractalGeometry.DIAPO.0060
207 reference(s)
117-Galerie_DeterministicFractalGeometry.DIAPO.0054
207 reference(s)
118-Galerie_DeterministicFractalGeometry.DIAPO.0043
207 reference(s)
119-Galerie_ArtisticCreation.DIAPO.0195
207 reference(s)
120-Galerie_ArtAndScience.DIAPO.0149
207 reference(s)
121-Galerie_ParticleSystems.DIAPO.0071
206 reference(s)
122-Galerie_DeterministicFractalGeometry.DIAPO.0059
206 reference(s)
123-Galerie_DeterministicFractalGeometry.DIAPO.0055
206 reference(s)
124-Galerie_DeterministicFractalGeometry.DIAPO.0045
206 reference(s)
125-Galerie_CelestialMechanics.DIAPO.0026
206 reference(s)
126-Galerie_ArtisticCreation.DIAPO.0185
206 reference(s)
127-Galerie_ArtisticCreation.DIAPO.0174
206 reference(s)
128-Galerie_ArtAndScience.DIAPO.0163
206 reference(s)

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