Monthly Best Of on 03/28/2010




The 'Earth' of a diffusion process obtained by means of a random walk process

Jean-François COLONNA
[Contact me]

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 03/28/2010 and last updated on 10/03/2024 17:01:57 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The random walk of photons escaping the Sun
1-476 reference(s)		Happy new year 2000
2-392 reference(s)		Hypercube
3-308 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-281 reference(s)
Quark and gluon structure of a nucleon
5-260 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
6-220 reference(s)		Autostereogram with an hidden ring and ghost bows
7-191 reference(s)		Quark and gluon structure of a nucleon
8-181 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
9-180 reference(s)		The Lorenz attractor
10-179 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
11-165 reference(s)		Autostereogram with an hidden volcano
12-162 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
13-160 reference(s)		Artistic view of the prime numbers
14-149 reference(s)		The random walk of photons escaping the Sun
15-148 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
16-145 reference(s)
Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
17-138 reference(s)		Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
18-122 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
19-106 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
20-103 reference(s)
Artistic view of the Big Bang
21-100 reference(s)		Fractal synthesis of mountains with vegetation and stormy clouds
22-99 reference(s)		The Birth of the Universe
23-93 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
24-90 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
25-88 reference(s)		Autostereogram of Monument Valley
26-87 reference(s)		From Pluto to the Sun (non linear scales)
27-87 reference(s)		Happy new year 2000
28-87 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
29-85 reference(s)		Autostereogram with an hidden volcano
30-83 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
31-81 reference(s)		The Möbius strip
32-80 reference(s)
The pseudo-quaternionic fractal set obtained when computing the roots of Q^3=1 using Newton's method with translation along the third axis of the pseudo-quaternionic space (a 'NewtonBulb') -tridimensional cross-section-
33-78 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
34-78 reference(s)		Along the border of the Mandelbrot set
35-77 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
36-77 reference(s)
The generalized Ulam spiral displaying 100 numbers
37-76 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
38-75 reference(s)		Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
39-72 reference(s)		Electron-positron scattering
40-72 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
41-70 reference(s)		Animation of a sunrise on mountains
42-68 reference(s)		24 evenly distributed points on a sphere by means of simulated annealing
43-67 reference(s)		Rotation about the X axis of the Lorenz attractor
44-67 reference(s)
Artistic view of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0) -a Tribute to José Hernández- -tridimensional cross-section-
45-67 reference(s)		The Scream -a Tribute to Edvard Munch-
46-64 reference(s)		Mountains at sunrise
47-64 reference(s)		A shell (Jeener surface 1)in motion
48-64 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
49-63 reference(s)		Recursive intertwining
50-63 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
51-63 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
52-61 reference(s)
Self-Portrait with intertwining
53-57 reference(s)		Botticelli anomaly on the Moon
54-57 reference(s)		The random walk of photons escaping the Sun
55-56 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
56-56 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
57-55 reference(s)		A foggy pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(0,1,0,0) and with a locally variable exponent between 2 and 12 -tridimensional cross-section-
58-55 reference(s)		An Archimedes spiral displaying 1000 numbers
59-54 reference(s)		The same bidimensional scalar field displayed with 4 different color palettes
60-54 reference(s)
Autostereogram with an hidden volcano
61-53 reference(s)		Fractal texture dynamics
62-53 reference(s)		A bidimensional fern computed by means of an 'Iterated Function System' -IFS-
63-53 reference(s)		Intertwining
64-52 reference(s)
A quaternionic Julia set -tridimensional cross-section-
65-52 reference(s)		16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
66-51 reference(s)		LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
67-51 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)
68-50 reference(s)
The Jeener-Klein triple bottle
69-50 reference(s)		Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
70-49 reference(s)		The Lorenz attractor in motion
71-48 reference(s)		Alien
72-47 reference(s)
32 points on a trigonometric circle
73-46 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
74-46 reference(s)		Artistic view of the trajectories of bidimensional fractal aggregates obtained by means of pasting during collisions of particles submitted to an attractive central field of gravity
75-45 reference(s)		Foggy cliffs
76-45 reference(s)
Exploding tridimensional fractal aggregate
77-44 reference(s)		Synthesis of tridimensional symmetrical geometrical textures
78-44 reference(s)		6 evenly distributed points on a sphere -an Octahedron- by means of simulated annealing
79-44 reference(s)		Quark and gluon dynamics of the nucleon
80-44 reference(s)
Mystery mountain at sunrise
81-44 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)
82-44 reference(s)		Light cloud dynamics -this sequence being periodical-
83-43 reference(s)		A quaternionic Julia set -tridimensional cross-section-
84-43 reference(s)
Along the border of the Mandelbrot set
85-42 reference(s)		Isotropic random walk of 64 particles on a tridimensional square lattice
86-42 reference(s)		Quantum vacuum fluctuations
87-41 reference(s)		Bidimensional abstract texture with random anthropomorphic patterns
88-41 reference(s)
A 'cloudy' pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
89-41 reference(s)		Artistic view of the bidimensional Ising Model with 2-state spins, temperature=0.2 and regular initial conditions (a chessboard)
90-41 reference(s)		Tridimensional fractal structure
91-41 reference(s)		Random intertwining
92-41 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
93-41 reference(s)		N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
94-40 reference(s)		The Lorenz attractor
95-40 reference(s)		Tridimensional visualization of a bidimensional turbulent flow -sensitivity to initial conditions (the Red one, the Green one and the Blue one)-
96-40 reference(s)
The Bonan-Jeener-Klein triple bottle
97-40 reference(s)		An arbitrary surface (Jeener surface 2)in motion
98-39 reference(s)		Light cloud dynamics
99-39 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
100-39 reference(s)
Psychedelic hypercube
101-39 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
102-38 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
103-38 reference(s)		A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
104-38 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
105-38 reference(s)		Triple impossible staircase
106-38 reference(s)		Artistic view of a quadridimensional Calabi-Yau manifold
107-38 reference(s)		Autostereogram with an hidden volcano
108-37 reference(s)
'There is a war' -a Tribute to Leonard Cohen-
109-37 reference(s)		Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
110-37 reference(s)		The special Liouville function displayed as a bidimensional random walk for the integer numbers from 2 to 400001... (Red), 2 to 800001... (Green) and 2 to 160000... (Blue)
111-37 reference(s)		Beyond the Gate
112-37 reference(s)
Erosion in Monument Valley
113-37 reference(s)		A 'mixing' between a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')and a tridimensional fractal structure -tridimensional cross-section-
114-37 reference(s)		Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
115-36 reference(s)		Chessboard
116-36 reference(s)
Untitled 0031
117-36 reference(s)		A set of 4x3 stereograms of a few Monument Valleys at sunset
118-36 reference(s)		Mountains and light cloud dynamics -this sequence being periodical-
119-36 reference(s)		2 identical grey squares moving over a grey scale
120-36 reference(s)
The Solar System with a dark blue virtual planet -virtual planet point of view-
121-36 reference(s)		The 8 vertices of a 3-cube
122-36 reference(s)		Visualization by means of a set of 4x3 stereograms of the density iso-surfaces (density=0.42)during a tridimensional diffusion process of 128312 particles
123-36 reference(s)		A dynamic 'crumpled' Klein bottle defined by means of three sets of bidimensional fields
124-35 reference(s)
True colors autostereogram of a fractal landscape
125-35 reference(s)		Periodical earthquake with multifractal mountains
126-35 reference(s)		Intertwining based on the geometry of the sphere
127-35 reference(s)		Synthesis of tridimensional textures
128-35 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
1352 reference(s)		2-AVirtualSpaceTimeTravelMachine.Ang
811 reference(s)
3-An2000.01.Fra
635 reference(s)		4-NDimensionalDeterministicFractalSets.01.Fra
447 reference(s)
5-Fractal.01
420 reference(s)		6-FloatingPointNumbers.01.Fra
410 reference(s)
7-AQuoiServentLesMathematiques.01
391 reference(s)		8-GenieLogiciel_VisualisationScientifique.01.vv
382 reference(s)
9-AVirtualSpaceTimeTravelMachine.Fra
381 reference(s)		10-Galerie_GeneralitiesVisualization.FV
372 reference(s)
11-help.
371 reference(s)		12-mail.01.vv
325 reference(s)
13-Galerie_DeterministicFractalGeometry.FV
321 reference(s)		14-Galerie_ArtisticCreation.FV
318 reference(s)
15-Stereogrammes_AutoStereogrammes.01
316 reference(s)		16-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
315 reference(s)
17-SurfaceProjector.01.Fra
306 reference(s)		18-Galerie_ParticleSystems.FV
306 reference(s)
19-AProposSite.01.Fra
303 reference(s)		20-Galerie_CelestialMechanics.FV
301 reference(s)
21-SurfaceProjector.01.Ang
299 reference(s)		22-FloatingPointNumbers.01.Ang
299 reference(s)
23-NDimensionalDeterministicFractalSets.01.Ang
292 reference(s)		24-copyright.01.
291 reference(s)
25-Informations_AboutPicturesAnimationsAndFiles.01.Ang
290 reference(s)		26-RealNumbers.01.Fra
282 reference(s)
27-Galerie_DeterministicChaos.FV
282 reference(s)		28-Galerie_NewPictures.FV
278 reference(s)
29-ImagesDuVirtuel.01.Fra.FV
277 reference(s)		30-GenieLogiciel.01.Fra
276 reference(s)
31-EnsembleDesGaleries.DIAPO.0001
272 reference(s)		32-Galerie_TextureSynthesis.FV
271 reference(s)
33-Galerie_BestOf.FV
271 reference(s)		34-MathematiquesPhysiqueFractales.02
269 reference(s)
35-Galerie_NumberTheory.FV
269 reference(s)		36-EntrelacsIntertwinings.01.Fra
268 reference(s)
37-Galerie_QuantumMechanics.FV
265 reference(s)		38-ExpV_VirE.Fra
263 reference(s)
39-present.01.
262 reference(s)		40-ImagesDuVirtuel.01.Fra
262 reference(s)
41-AnimFractal.01.
262 reference(s)		42-Galerie_ArtisticCreation.DIAPO.0027
261 reference(s)
43-catalogue.11
260 reference(s)		44-ExpV_VirE.11
260 reference(s)
45-Galerie_ArtisticCreation.DIAPO.0030
258 reference(s)		46-Galerie_ArtisticCreation.DIAPO.0029
257 reference(s)
47-Galerie_ArtisticCreation.DIAPO.0025
257 reference(s)		48-Galerie_ArtAndScience.FV
257 reference(s)
49-Galerie_ArtisticCreation.DIAPO.0024
256 reference(s)		50-Galeries.01.vv
254 reference(s)
51-Galerie_NewPictures.DIAPO.0027
253 reference(s)		52-Vcatalogue.11
252 reference(s)
53-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
252 reference(s)		54-Galerie_ArtisticCreation.DIAPO.0036
252 reference(s)
55-Galerie_ArtisticCreation.DIAPO.0026
252 reference(s)		56-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0020
251 reference(s)
57-Galerie_ArtisticCreation.DIAPO.0032
251 reference(s)		58-MonodimensionalCellularAutomata.01.Fra
250 reference(s)
59-Galerie_NewPictures.DIAPO.0030
250 reference(s)		60-Galerie_NewPictures.DIAPO.0026
250 reference(s)
61-Galerie_ArtisticCreation.DIAPO.0028
250 reference(s)		62-Galerie_ArtisticCreation.DIAPO.0022
250 reference(s)
63-Galerie_ArtisticCreation.DIAPO.0020
250 reference(s)		64-Autostereograms.01.
250 reference(s)
65-AQuoiServentLesMathematiques.03
249 reference(s)		66-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0019
248 reference(s)
67-Galerie_ArtisticCreation.DIAPO.0035
247 reference(s)		68-Galerie_ArtisticCreation.DIAPO.0021
247 reference(s)
69-Galerie_ArtisticCreation.DIAPO.0031
246 reference(s)		70-Galerie_ArtisticCreation.DIAPO.0023
246 reference(s)
71-Kepler.02.
245 reference(s)		72-Galerie_ArtisticCreation.DIAPO.0038
245 reference(s)
73-Galerie_ArtisticCreation.DIAPO.0037
245 reference(s)		74-Galerie_ArtisticCreation.DIAPO.0033
245 reference(s)
75-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0018
244 reference(s)		76-Galerie_NewPictures.DIAPO.0024
244 reference(s)
77-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0027
243 reference(s)		78-Galerie_NewPictures.DIAPO.0080
243 reference(s)
79-Galerie_NewPictures.DIAPO.0029
243 reference(s)		80-Galerie_NewPictures.DIAPO.0028
243 reference(s)
81-Galerie_NewPictures.DIAPO.0025
243 reference(s)		82-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0021
242 reference(s)
83-Galerie_NewPictures.DIAPO.0072
242 reference(s)		84-Galerie_NewPictures.DIAPO.0022
242 reference(s)
85-Galerie_NewPictures.DIAPO.0079
241 reference(s)		86-Galerie_NewPictures.DIAPO.0031
241 reference(s)
87-An2000.05.Fra
241 reference(s)		88-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0024
240 reference(s)
89-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0023
240 reference(s)		90-Galerie_NewPictures.DIAPO.0076
240 reference(s)
91-Galerie_NewPictures.DIAPO.0062
240 reference(s)		92-Galerie_NewPictures.DIAPO.0023
240 reference(s)
93-Commentaires_NKleinBottle.01
240 reference(s)		94-Galerie_NumberTheory.DIAPO.0036
239 reference(s)
95-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0026
239 reference(s)		96-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0025
239 reference(s)
97-Galerie_NewPictures.DIAPO.0077
239 reference(s)		98-Galerie_NewPictures.DIAPO.0074
239 reference(s)
99-Galerie_ArtisticCreation.DIAPO.0034
239 reference(s)		100-EnsembleDesGaleries.DIAPO.0050
239 reference(s)
101-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0029
238 reference(s)		102-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0022
238 reference(s)
103-Galerie_NewPictures.DIAPO.0075
238 reference(s)		104-Galerie_NewPictures.DIAPO.0073
238 reference(s)
105-Galerie_NewPictures.DIAPO.0066
238 reference(s)		106-Galerie_NewPictures.DIAPO.0058
238 reference(s)
107-Galerie_NewPictures.DIAPO.0032
238 reference(s)		108-Galerie_NewPictures.DIAPO.0021
238 reference(s)
109-An2000.02.Fra
238 reference(s)		110-Galerie_NumberTheory.DIAPO.0021
237 reference(s)
111-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0030
237 reference(s)		112-Galerie_NewPictures.DIAPO.0059
237 reference(s)
113-Galerie_NewPictures.DIAPO.0056
237 reference(s)		114-Galerie_ArtisticCreation.DIAPO.0044
237 reference(s)
115-Galerie_ArtisticCreation.DIAPO.0042
237 reference(s)		116-Galerie_ArtisticCreation.DIAPO.0039
237 reference(s)
117-Galerie_ArtisticCreation.DIAPO.0019
237 reference(s)		118-Galerie_ArtAndScience.DIAPO.0022
237 reference(s)
119-ExpV_VirE.01.Fra
237 reference(s)		120-EntrelacsIntertwinings.01.Ang
237 reference(s)
121-Commentaires_SystemeSolaire.01
237 reference(s)		122-Galerie_NumberTheory.DIAPO.0037
236 reference(s)
123-Galerie_NumberTheory.DIAPO.0035
236 reference(s)		124-Galerie_NumberTheory.DIAPO.0022
236 reference(s)
125-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0033
236 reference(s)		126-Galerie_NewPictures.DIAPO.0078
236 reference(s)
127-Galerie_NewPictures.DIAPO.0065
236 reference(s)		128-Galerie_NewPictures.DIAPO.0064
236 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.