Monthly Best Of on 05/28/2021




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

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 05/28/2021 and last updated on 10/03/2024 17:04:18 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Random quadrangulation of the volume of a sphere -18x18x18-
1-180 reference(s)		Autostereogram with an hidden volcano
2-73 reference(s)		The random walk of photons escaping the Sun
3-60 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
4-58 reference(s)
Untitled 0004
5-56 reference(s)		The bidimensional John Conway's life game
6-54 reference(s)		Artistic view of the prime numbers
7-54 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
8-51 reference(s)
The random walk of photons escaping the Sun
9-49 reference(s)		Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
10-46 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
11-43 reference(s)		Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
12-43 reference(s)
The 'exponential' spreading of a tridimensional epidemic -the COVID-19 coronavirus?- without confinement -1430 particles-, with a zero death rate and with a 100% infection, starting with just one infected person -red particle on bottom left picture-
13-42 reference(s)		The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- with partial confinement -201 particles-, with a zero death rate and a 50% infection, starting with just one infected person -red particle on bottom left picture-
14-42 reference(s)		The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- without confinement -300 particles-, with a zero death rate and with a 50% infection, starting with just one infected person -red particle on bottom left picture-
15-42 reference(s)		The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- without confinement -300 particles-, with a zero death rate and with a 100% infection, starting with just one infected person -red particle on bottom left picture-
16-42 reference(s)
Bidimensional geometrical texture animation
17-41 reference(s)		The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- with partial confinement -201 particles-, with a zero death rate and a 100% infection, starting with just one infected person -red particle on bottom left picture-
18-41 reference(s)		Bidimensional quasi-symmetrical fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
19-41 reference(s)		Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
20-41 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
21-41 reference(s)		The Möbius strip
22-41 reference(s)		Tridimensional zoom in on the Mandelbrot set
23-41 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
24-41 reference(s)
The front of a forest fire -white- obtained by means of a bidimensional random walk process (bird's-eye view, zoom in on the first steps)
25-41 reference(s)		Fractal diffusion front in a bidimensional medium obtained by means of a random walk process (zoom in on the first steps)
26-41 reference(s)		A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
27-40 reference(s)		Tridimensional texture animation by means of the Generalized Product
28-40 reference(s)
Bidimensional texture animation by means of the Generalized Product
29-40 reference(s)		The journey of an Earth-like virtuel planet (green)from Pluto (grey) to the Sun (yellow) -point of view of the virtual planet-
30-40 reference(s)		From Mars to the Sun
31-40 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
32-40 reference(s)
Autostereogram with an hidden volcano
33-36 reference(s)		The Universe at the heart of a Calabi-Yau manifold
34-35 reference(s)		The random walk of photons escaping the Sun
35-34 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
36-33 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
37-32 reference(s)		Autostereogram with an hidden volcano
38-32 reference(s)		Happy new year 2000
39-31 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
40-31 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
41-29 reference(s)		Along the border of the Mandelbrot set
42-28 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
43-28 reference(s)		Quantum vacuum fluctuations
44-26 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
45-25 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
46-25 reference(s)		Tridimensional Hilbert Curve -iterations 1 to 3-
47-25 reference(s)		Autostereogram with an hidden ring and ghost bows
48-24 reference(s)
The Sierpinski Carpet -iteration 5-
49-24 reference(s)		Black dots on a square lattice
50-23 reference(s)		The Lorenz attractor
51-22 reference(s)		Isle of the Dead -a Tribute to Arnold Böcklin-
52-22 reference(s)
Autostereogram with an hidden volcano
53-21 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
54-21 reference(s)		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
55-21 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
56-21 reference(s)
The Bonan-Jeener-Klein triple bottle
57-21 reference(s)		An aperiodic Penrose tiling of the plane
58-20 reference(s)		An aperiodic Penrose tiling of the plane
59-20 reference(s)		The generalized Ulam spiral displaying 1024 numbers
60-20 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
61-20 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
62-20 reference(s)		The first four iterations of the construction of the von Koch snowflake
63-19 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
64-19 reference(s)
An aperiodic Penrose tiling of the plane
65-19 reference(s)		Fractal natural form
66-19 reference(s)		A tridimensional distorted cubic mesh defined by means of three tridimensional fields
67-19 reference(s)		The generalized Ulam spiral displaying 100 numbers
68-19 reference(s)
Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
69-19 reference(s)		Tridimensional Hilbert Curve -iteration 3-
70-19 reference(s)		The Jeener-Klein triple bottle
71-19 reference(s)		Two multiplexed autostereograms by means of a pi/2 rotation
72-18 reference(s)
The Boy surface
73-18 reference(s)		Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
74-18 reference(s)		A blue Sponge-tree -a Tribute to Yves Klein-
75-18 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
76-18 reference(s)
The Jeener-Klein triple bottle
77-18 reference(s)		The 64 first lines of the Pascal's Triangle -modulo 3-
78-17 reference(s)		A variable Archimedes spiral displaying 1000 numbers
79-17 reference(s)		Happy new year 2000
80-17 reference(s)
Sixteen interlaced fractal torus
81-17 reference(s)		Untitled 0353
82-17 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
83-17 reference(s)		4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
84-16 reference(s)
The generalized Ulam spiral
85-16 reference(s)		True colors autostereogram of a fractal landscape
86-16 reference(s)		From Pluto to the Sun (non linear scales)
87-16 reference(s)		Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
88-16 reference(s)
A shell (Jeener surface 1)
89-16 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
90-16 reference(s)		The 64 first lines of the Pascal's Triangle -modulo 2-
91-15 reference(s)		An aperiodic Penrose tiling of the plane
92-15 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
93-15 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
94-15 reference(s)		IMAGE_INEXISTANTE=OBJC.R1___1_______.11.1.RLE1
95-15 reference(s)		Pseudo Olympic Rings
96-14 reference(s)
From a torus to a cylinder
97-14 reference(s)		The Klein bottle defined by means of three bidimensional fields
98-14 reference(s)		Apple Blossoms -a Tribute to Piet Mondrian-
99-14 reference(s)		Botticelli anomaly on the Moon
100-14 reference(s)
A shell (Jeener surface 1)in motion
101-14 reference(s)		Quantum vacuum fluctuations
102-13 reference(s)		Autostereogram of the CMAP
103-13 reference(s)		A tridimensional cubic mesh with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
104-13 reference(s)
The Simpson paradox
105-13 reference(s)		Color palette 'dentscie.C4'
106-13 reference(s)		The Master of the Universe
107-13 reference(s)		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 1/O conformal transformation in the pseudo-octonionic space -tridimensional cross-section-
108-13 reference(s)
A bidimensional field
109-13 reference(s)		Hypercube
110-13 reference(s)		Tridimensional fractal structure in a tridimensional torus
111-13 reference(s)		A distorded -for the sake of display- 5-cube -an hyperhypercube-
112-13 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
113-13 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
114-13 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
115-13 reference(s)		A special Klein bottle
116-13 reference(s)
An aperiodic Penrose tiling of the Golden Decagon
117-12 reference(s)		An aperiodic Penrose tiling of the plane -a Tribute to Piet Mondrian and Roger Penrose-
118-12 reference(s)		The Sierpinski Carpet -iteration 1 to 5-
119-12 reference(s)		A pay slip
120-12 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
121-12 reference(s)		Bidimensional fractal aggregate obtained by means of pasting during collisions of particles submitted to an attractive central field of gravity
122-12 reference(s)		A regular 7-gon -an heptagon-
123-12 reference(s)		Color palette 'fractal.03'
124-12 reference(s)
Color palette 'bleue.02'
125-12 reference(s)		N-body problem integration (N=10)displaying the actual Solar System
126-12 reference(s)		An extended Menger Sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
127-12 reference(s)		The intersection of the Menger Sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation-
128-12 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
1165 reference(s)		2-AVirtualSpaceTimeTravelMachine.Ang
476 reference(s)
3-An2000.01.Fra
326 reference(s)		4-Galerie_NumberTheory.FV
266 reference(s)
5-RealNumbers.01.Fra
227 reference(s)		6-Vcatalogue.11
215 reference(s)
7-MathematiquesPhysiqueFractales.02
208 reference(s)		8-help.
198 reference(s)
9-Galerie_ArtAndScience.FV
187 reference(s)		10-Stereogrammes_AutoStereogrammes.01
184 reference(s)
11-Fractal.01
183 reference(s)		12-mail.01.vv
181 reference(s)
13-logiciel
181 reference(s)		14-demo
180 reference(s)
15-an2000
179 reference(s)		16-realnumbers
178 reference(s)
17-demo14
178 reference(s)		18-demo.14
178 reference(s)
19-nombresreels
177 reference(s)		20-EntrelacsIntertwinings.01.Fra
177 reference(s)
21-genielogiciel
176 reference(s)		22-Fractal.21
174 reference(s)
23-Galerie_TextureSynthesis.FV
173 reference(s)		24-Galerie_GeneralitiesVisualization.FV
172 reference(s)
25-FloatingPointNumbers.01.Ang
164 reference(s)		26-SurfaceProjector.01.Fra
163 reference(s)
27-AProposSite.01.Fra
163 reference(s)		28-GenieLogiciel_VisualisationScientifique.01.vv
161 reference(s)
29-Galerie_NewPictures
161 reference(s)		30-copyright.01.
160 reference(s)
31-Fractal.11
159 reference(s)		32-OrdinateursEtCalculs.01.Ang
158 reference(s)
33-Pcatalogue.11
157 reference(s)		34-NDimensionalDeterministicFractalSets.01.Fra
155 reference(s)
35-GoldenTriangle.01.Fra
155 reference(s)		36-Galerie_NewPictures.FV
154 reference(s)
37-Galerie_ArtisticCreation.FV
154 reference(s)		38-UlamSpiral.01.Fra
153 reference(s)
39-Fractal.03
151 reference(s)		40-Exposition_EcolePolytechnique_FeteDeLaScience_201910
151 reference(s)
41-SurfaceProjector.01.Ang
150 reference(s)		42-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
150 reference(s)
43-FloatingPointNumbers.01.Fra
150 reference(s)		44-MathematiquesPhysiqueFractales.02.27
148 reference(s)
45-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
148 reference(s)		46-MathematiquesPhysiqueFractales.12
145 reference(s)
47-Informations_GoodNewsAndBadNews.01.Ang
145 reference(s)		48-Galerie_ImagesDesMathematiques.FV
145 reference(s)
49-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
144 reference(s)		50-AnimFractal.01.
144 reference(s)
51-AVirtualSpaceTimeTravelMachine.Fra
143 reference(s)		52-Informations_GoodNewsAndBadNews.01.Fra
142 reference(s)
53-Galerie_DeterministicFractalGeometry.FV
142 reference(s)		54-FaireDeLaRecherche.01.vv
142 reference(s)
55-Informations_AboutPicturesAnimationsAndFiles.01.Ang
140 reference(s)		56-MonodimensionalCellularAutomata.01.Fra
139 reference(s)
57-GenieLogiciel.01.Fra
139 reference(s)		58-Galerie_QuantumMechanics.FV
139 reference(s)
59-subject.01.
138 reference(s)		60-LOG_xiMc.11
138 reference(s)
61-BEST.20170528
138 reference(s)		62-Galerie_ParticleSystems.FV
137 reference(s)
63-EntrelacsIntertwinings.01.Ang
137 reference(s)		64-BEST.20130628
137 reference(s)
65-ManyChaos.01.Ang
136 reference(s)		66-BEST.20141228
136 reference(s)
67-BEST.20171028
135 reference(s)		68-BEST.20160228
135 reference(s)
69-BEST.20140828
135 reference(s)		70-BEST.20140128
135 reference(s)
71-present.01.
134 reference(s)		72-Galerie_DeterministicChaos.FV
134 reference(s)
73-DieuScience.01.Fra
134 reference(s)		74-BEST.20150628
134 reference(s)
75-PerteDeLAssociativite.01
133 reference(s)		76-NDimensionalDeterministicFractalSets.01.Ang
133 reference(s)
77-Galerie_CelestialMechanics.FV
133 reference(s)		78-BEST.20170828
133 reference(s)
79-BEST.20170228
133 reference(s)		80-BEST.20170128
133 reference(s)
81-BEST.20151028
133 reference(s)		82-BEST.20140628
133 reference(s)
83-catalogue.11
132 reference(s)		84-Kepler.02.
132 reference(s)
85-DecimalesPi_100000.vv
132 reference(s)		86-BEST.20160128
132 reference(s)
87-BEST.20150828
132 reference(s)		88-BEST.20130828
132 reference(s)
89-NatureDesMathematiques.01.vv.Fra
131 reference(s)		90-GoldenTriangle.01.Ang
131 reference(s)
91-BEST.20160728
131 reference(s)		92-BEST.20141028
131 reference(s)
93-BEST.20130428
131 reference(s)		94-BEST.20071128
131 reference(s)
95-Web_Mail.01.vv
130 reference(s)		96-ImpossibleStructures.01.Ang
130 reference(s)
97-ImagesDuVirtuel.01.Fra.FV
130 reference(s)		98-BEST.20160928
130 reference(s)
99-BEST.20150928
130 reference(s)		100-infinity.01.vv
129 reference(s)
101-RemarquesCerveau.01
129 reference(s)		102-IllusionConnaissance.02
129 reference(s)
103-Galerie_Astrophysics.FV
129 reference(s)		104-ExpV_VirE.21
129 reference(s)
105-BEST.20170928
129 reference(s)		106-BEST.20140728
129 reference(s)
107-Autostereograms.01.
129 reference(s)		108-Galerie_Tributes.FV
128 reference(s)
109-ArithmetiqueEtOrdinateur.01.vv.Fra
128 reference(s)		110-NombresEtLumiere.01.vv.Fra
126 reference(s)
111-MonodimensionalCellularAutomata.01.Ang
126 reference(s)		112-ExpV_VirE.11
126 reference(s)
113-DuModeleALImage.02.Fra
126 reference(s)		114-BEST.20170428
126 reference(s)
115-UlamSpiral.01.Ang
125 reference(s)		116-MorePages.
125 reference(s)
117-MathematiquesPhysiqueFractales.02.1
125 reference(s)		118-ImagesDuVirtuel.01.Fra
125 reference(s)
119-Galerie_SignalProcessing.FV
125 reference(s)		120-Galerie_NumbersAndLight.FV
125 reference(s)
121-Commentaires_NKleinBottle.01
125 reference(s)		122-VirtualChaos.01.Fra
124 reference(s)
123-VirtualChaos.01.Ang
124 reference(s)		124-ManyChaos.01.Fra
124 reference(s)
125-Galerie_SensitivityToRoundingOffErrors.FV
124 reference(s)		126-ExpV_VirE.Ang
124 reference(s)
127-DecimalesPi_1_100.vv
124 reference(s)		128-infinity.02.vv
123 reference(s)

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




Copyright © Jean-François COLONNA, 2021-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2021-2024.