Monthly Best Of on 07/28/2010




Bidimensional brownian motion with a uniform distribution law regarding the radial coordinate

Jean-François COLONNA
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www.lactamme.polytechnique.fr

CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, École polytechnique, Institut Polytechnique de Paris, CNRS, France

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(CMAP28 WWW site: this page was created on 07/28/2010 and last updated on 10/03/2024 17:02:03 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Tridimensional representation of a quadridimensional Calabi-Yau manifold
1-313 reference(s)		Autostereogram with an hidden volcano
2-230 reference(s)		From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
3-178 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-125 reference(s)
Quark and gluon structure of a nucleon
5-100 reference(s)		The Lorenz attractor
6-94 reference(s)		Quark and gluon structure of a nucleon
7-88 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
8-85 reference(s)
The random walk of photons escaping the Sun
9-83 reference(s)		The random walk of photons escaping the Sun
10-82 reference(s)		Hypercube
11-80 reference(s)		From the infinitely small to the infinitely big
12-80 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
13-75 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
14-70 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
15-65 reference(s)		The random walk of photons escaping the Sun
16-62 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
17-58 reference(s)		From Pluto to the Sun (non linear scales)
18-58 reference(s)		Autostereogram with an hidden volcano
19-55 reference(s)		Welcome aboard a Virtual Space-Time Travel Machine
20-54 reference(s)
The Klein bottle
21-53 reference(s)		Artistic view of the prime numbers
22-52 reference(s)		Happy new year 2000
23-51 reference(s)		Autostereogram with an hidden volcano
24-50 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
25-47 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
26-47 reference(s)		Autostereogram with an hidden volcano
27-46 reference(s)		Electron-positron scattering
28-46 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
29-44 reference(s)		Autostereogram of Monument Valley
30-43 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
31-43 reference(s)		Intertwining
32-41 reference(s)
Quark and gluon dynamics of the nucleon
33-40 reference(s)		A tridimensional Möbius-like manifold defined by means of three tridimensional fields
34-40 reference(s)		Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
35-40 reference(s)		Artistic view of the Big Bang
36-39 reference(s)
The Scream -a Tribute to Edvard Munch-
37-39 reference(s)		Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
38-39 reference(s)		Autostereogram with an hidden volcano
39-38 reference(s)		Along the border of the Mandelbrot set
40-37 reference(s)
Close-up on a foggy 'MandelBox' -tridimensional cross-section-
41-36 reference(s)		Rotation about the X axis of the Lorenz attractor
42-36 reference(s)		24 evenly distributed points on a sphere by means of simulated annealing
43-35 reference(s)		Happy new year 2000
44-35 reference(s)
Fractal intertwining
45-34 reference(s)		The same bidimensional scalar field displayed with 4 different color palettes
46-34 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)
47-34 reference(s)		Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
48-34 reference(s)
A shell (Jeener surface 1)in motion
49-34 reference(s)		Fractal structure of a nucleon
50-33 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
51-33 reference(s)		Along the border of the Mandelbrot set
52-32 reference(s)
A perfect bidimensional piston with following initial conditions: still piston, high temperature particles at left and low temperature particles at right, in a bidimensional box submitted to a vertical field of gravity
53-32 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
54-31 reference(s)		Autostereogram with an hidden volcano
55-30 reference(s)		Autostereogram with an hidden volcano
56-30 reference(s)
Alien
57-30 reference(s)		True colors autostereogram of a fractal landscape
58-30 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
59-30 reference(s)		Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
60-30 reference(s)
Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
61-29 reference(s)		Artistic view of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0) -tridimensional cross-section-
62-29 reference(s)		A quaternionic Julia set -tridimensional cross-section-
63-29 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
64-29 reference(s)
Tridimensional fractal structure
65-29 reference(s)		The Jeener-Klein triple bottle
66-29 reference(s)		Autostereogram with an hidden ring and ghost bows
67-28 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
68-28 reference(s)
An extended foggy 'MandelBox' -tridimensional cross-section-
69-28 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
70-28 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
71-26 reference(s)		The Eratosthene sieve displaying 100x100 numbers
72-26 reference(s)
Botticelli anomaly on the Moon
73-26 reference(s)		An Archimedes spiral displaying 1000 numbers
74-25 reference(s)		The Birth of the Universe
75-25 reference(s)		Intertwining based on the geometry of the Boy surface
76-25 reference(s)
Cloudy Monument Valley
77-24 reference(s)		From Pluto to the Sun -extrapolation 2- (non linear scales)
78-24 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
79-24 reference(s)		The Möbius strip
80-24 reference(s)
Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
81-24 reference(s)		Computation of the Lorenz attractor on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
82-24 reference(s)		Erosion in Monument Valley with fog
83-23 reference(s)		Waltzing Monument Valley
84-23 reference(s)
Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
85-23 reference(s)		Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
86-23 reference(s)		Cliffs at sunset
87-23 reference(s)		Artistic view of a quadridimensional Calabi-Yau manifold
88-23 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
89-22 reference(s)		'There is a war' -a Tribute to Leonard Cohen-
90-22 reference(s)		The normal field of a fractal surface defined by means of three bidimensional fields
91-22 reference(s)		Monument Valley at sunrise
92-22 reference(s)
The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
93-22 reference(s)		La Génèse (1974)
94-22 reference(s)		A fractal landscape
95-22 reference(s)		Recursive intertwining
96-21 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
97-21 reference(s)		The generalized Ulam spiral displaying 100 numbers
98-21 reference(s)		Inside the Gate
99-21 reference(s)		Forward tridimensional integration of the wavelet filtering of a bidimensional fractal field with cross-section
100-21 reference(s)
A quaternionic Julia set -tridimensional cross-section-
101-21 reference(s)		A distorted fractal height field
102-21 reference(s)		LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
103-21 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
104-20 reference(s)
Beyond the Gate
105-20 reference(s)		Artistic view of Monument Valley
106-20 reference(s)		Time-integration of the bidimensional Ising Model with 2-state spins, temperature=0.2 and random initial conditions
107-20 reference(s)		A fractal height field
108-20 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
109-20 reference(s)		Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
110-20 reference(s)		Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
111-19 reference(s)		Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
112-19 reference(s)
A fractal surface (four iterations)defined by means of three bidimensional fields
113-19 reference(s)		The Gate
114-19 reference(s)		Waltzing Monument Valley (bird's-eye view)
115-19 reference(s)		Mountains and light cloud dynamics -this sequence being periodical-
116-19 reference(s)
Mountains at sunrise
117-19 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
118-19 reference(s)		The normal field of the Klein bottle
119-19 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
120-18 reference(s)
The generalized Ulam spiral displaying 1024 numbers
121-18 reference(s)		N-body problem integration (N=4)with one yellow star and two planets (the red one being very heavy and the blue one and its white satellite being light)
122-18 reference(s)		Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
123-18 reference(s)		Untitled 0132
124-18 reference(s)
The peeling of a 'MandelBox' -tridimensional cross-sections-
125-18 reference(s)		Consciousness exploring Mathematics
126-18 reference(s)		The iterative process used to generate bidimensional fractal height fields (16 iterations)
127-18 reference(s)		The Bonan-Jeener-Klein triple bottle
128-18 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
977 reference(s)		2-AVirtualSpaceTimeTravelMachine.Ang
372 reference(s)
3-An2000.01.Fra
363 reference(s)		4-FloatingPointNumbers.01.Fra
265 reference(s)
5-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
261 reference(s)		6-Fractal.01
261 reference(s)
7-SurfaceProjector.01.Fra
254 reference(s)		8-GenieLogiciel_VisualisationScientifique.01.vv
239 reference(s)
9-SurfaceProjector.01.Ang
234 reference(s)		10-AProposSite.01.Fra
233 reference(s)
11-Galerie_TextureSynthesis.DIAPO.0200
232 reference(s)		12-Galerie_GeneralitiesVisualization.DIAPO.0111
232 reference(s)
13-Galerie_TextureSynthesis.DIAPO.0199
231 reference(s)		14-Galerie_DeterministicFractalGeometry.FV
231 reference(s)
15-Galerie_NewPictures.DIAPO.0024
230 reference(s)		16-Galerie_BestOf.DIAPO.0029
230 reference(s)
17-AVirtualSpaceTimeTravelMachine.Fra
230 reference(s)		18-Galerie_ArtisticCreation.DIAPO.0027
229 reference(s)
19-Galerie_AnthropomorphicPatterns.DIAPO.0064
229 reference(s)		20-Galerie_TextureSynthesis.DIAPO.0197
228 reference(s)
21-Galerie_TextureSynthesis.DIAPO.0019
228 reference(s)		22-Galerie_TextureSynthesis.DIAPO.0018
228 reference(s)
23-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0022
228 reference(s)		24-Galerie_ArtisticCreation.DIAPO.0029
228 reference(s)
25-Galerie_TextureSynthesis.DIAPO.0198
227 reference(s)		26-Galerie_NewPictures.DIAPO.0028
227 reference(s)
27-Galerie_BestOf.DIAPO.0028
227 reference(s)		28-Galerie_ArtisticCreation.FV
227 reference(s)
29-Galerie_ArtisticCreation.DIAPO.0036
227 reference(s)		30-Galerie_ArtisticCreation.DIAPO.0028
227 reference(s)
31-Galerie_NumberTheory.DIAPO.0029
226 reference(s)		32-Galerie_NewPictures.DIAPO.0022
226 reference(s)
33-Galerie_GeneralitiesVisualization.DIAPO.0102
226 reference(s)		34-Galerie_BestOf.DIAPO.0032
226 reference(s)
35-Galerie_BestOf.DIAPO.0030
226 reference(s)		36-Galerie_ArtisticCreation.DIAPO.0184
226 reference(s)
37-Galerie_ArtisticCreation.DIAPO.0037
226 reference(s)		38-Galerie_ArtisticCreation.DIAPO.0033
226 reference(s)
39-Galerie_ArtisticCreation.DIAPO.0032
226 reference(s)		40-Galerie_ArtisticCreation.DIAPO.0030
226 reference(s)
41-Galerie_ArtisticCreation.DIAPO.0026
226 reference(s)		42-Galerie_ArtisticCreation.DIAPO.0024
226 reference(s)
43-Galerie_NumberTheory.DIAPO.0061
225 reference(s)		44-Galerie_NumberTheory.DIAPO.0030
225 reference(s)
45-Galerie_NumberTheory.DIAPO.0026
225 reference(s)		46-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0019
225 reference(s)
47-Galerie_GeneralitiesVisualization.DIAPO.0109
225 reference(s)		48-Galerie_GeneralitiesVisualization.DIAPO.0104
225 reference(s)
49-Galerie_GeneralitiesVisualization.DIAPO.0100
225 reference(s)		50-Galerie_GeneralitiesVisualization.DIAPO.0099
225 reference(s)
51-Galerie_BestOf.DIAPO.0031
225 reference(s)		52-present.01.
224 reference(s)
53-Galerie_TextureSynthesis.DIAPO.0022
224 reference(s)		54-Galerie_TextureSynthesis.DIAPO.0021
224 reference(s)
55-Galerie_NumberTheory.DIAPO.0033
224 reference(s)		56-Galerie_NewPictures.DIAPO.0021
224 reference(s)
57-Galerie_GeneralitiesVisualization.FV
224 reference(s)		58-Galerie_DeterministicFractalGeometry.DIAPO.0033
224 reference(s)
59-Galerie_CelestialMechanics.DIAPO.0026
224 reference(s)		60-Galerie_CelestialMechanics.DIAPO.0024
224 reference(s)
61-Galerie_ArtisticCreation.DIAPO.0183
224 reference(s)		62-Galerie_ArtisticCreation.DIAPO.0031
224 reference(s)
63-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0020
223 reference(s)		64-Galerie_NewPictures.DIAPO.0026
223 reference(s)
65-Galerie_GeneralitiesVisualization.DIAPO.0101
223 reference(s)		66-Galerie_DeterministicFractalGeometry.DIAPO.0022
223 reference(s)
67-Galerie_ArtisticCreation.DIAPO.0182
223 reference(s)		68-Galerie_ArtisticCreation.DIAPO.0181
223 reference(s)
69-Galerie_NumberTheory.DIAPO.0059
222 reference(s)		70-Galerie_NumberTheory.DIAPO.0031
222 reference(s)
71-Galerie_NumberTheory.DIAPO.0028
222 reference(s)		72-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0068
222 reference(s)
73-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0021
222 reference(s)		74-Galerie_NewPictures.DIAPO.0025
222 reference(s)
75-Galerie_GeneralitiesVisualization.DIAPO.0108
222 reference(s)		76-Galerie_BestOf.DIAPO.0027
222 reference(s)
77-Galerie_BestOf.DIAPO.0024
222 reference(s)		78-Galerie_ArtisticCreation.DIAPO.0025
222 reference(s)
79-Galerie_ArtisticCreation.DIAPO.0022
222 reference(s)		80-Galerie_AnthropomorphicPatterns.DIAPO.0062
222 reference(s)
81-EnsembleDesGaleries.DIAPO.0522
222 reference(s)		82-EnsembleDesGaleries.DIAPO.0001
222 reference(s)
83-help.
221 reference(s)		84-Galerie_TextureSynthesis.DIAPO.0020
221 reference(s)
85-Galerie_ParticleSystems.DIAPO.0059
221 reference(s)		86-Galerie_NumberTheory.DIAPO.0024
221 reference(s)
87-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0023
221 reference(s)		88-Galerie_NewPictures.DIAPO.0027
221 reference(s)
89-Galerie_NewPictures.DIAPO.0023
221 reference(s)		90-Galerie_NewPictures.DIAPO.0020
221 reference(s)
91-Galerie_NewPictures.DIAPO.0019
221 reference(s)		92-Galerie_GeneralitiesVisualization.DIAPO.0110
221 reference(s)
93-Galerie_GeneralitiesVisualization.DIAPO.0105
221 reference(s)		94-Galerie_GeneralitiesVisualization.DIAPO.0103
221 reference(s)
95-Galerie_DeterministicFractalGeometry.DIAPO.0032
221 reference(s)		96-Galerie_DeterministicFractalGeometry.DIAPO.0028
221 reference(s)
97-Galerie_BestOf.DIAPO.0026
221 reference(s)		98-Galerie_ArtisticCreation.DIAPO.0034
221 reference(s)
99-EnsembleDesGaleries.DIAPO.0525
221 reference(s)		100-Autostereograms.01.
221 reference(s)
101-Galerie_TextureSynthesis.DIAPO.0023
220 reference(s)		102-Galerie_ParticleSystems.DIAPO.0065
220 reference(s)
103-Galerie_NumberTheory.DIAPO.0060
220 reference(s)		104-Galerie_NumberTheory.DIAPO.0034
220 reference(s)
105-Galerie_NumberTheory.DIAPO.0032
220 reference(s)		106-Galerie_NumberTheory.DIAPO.0025
220 reference(s)
107-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0146
220 reference(s)		108-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0070
220 reference(s)
109-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0066
220 reference(s)		110-Galerie_NewPictures.DIAPO.0032
220 reference(s)
111-Galerie_CelestialMechanics.DIAPO.0025
220 reference(s)		112-Galerie_CelestialMechanics.DIAPO.0022
220 reference(s)
113-Galerie_BestOf.DIAPO.0022
220 reference(s)		114-Galerie_ArtisticCreation.DIAPO.0023
220 reference(s)
115-Galerie_AnthropomorphicPatterns.DIAPO.0063
220 reference(s)		116-ArtScience.11.Ang.DIAPO.0034
220 reference(s)
117-ArtScience.11.Ang.DIAPO.0031
220 reference(s)		118-Galerie_TextureSynthesis.DIAPO.0196
219 reference(s)
119-Galerie_NumberTheory.DIAPO.0057
219 reference(s)		120-Galerie_NumberTheory.DIAPO.0023
219 reference(s)
121-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0145
219 reference(s)		122-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0069
219 reference(s)
123-Galerie_NewPictures.DIAPO.0031
219 reference(s)		124-Galerie_GeneralitiesVisualization.DIAPO.0098
219 reference(s)
125-Galerie_GeneralitiesVisualization.DIAPO.0096
219 reference(s)		126-Galerie_GeneralitiesVisualization.DIAPO.0094
219 reference(s)
127-Galerie_BestOf.DIAPO.0025
219 reference(s)		128-Galerie_BestOf.DIAPO.0023
219 reference(s)

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




Copyright © Jean-François COLONNA, 2010-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2010-2024.