Monthly Best Of on 05/28/2020




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 05/28/2020 and last updated on 11/14/2023 17:49:56 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
1-603 reference(s)		 Autostereogram of the CMAP
2-137 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
3-100 reference(s)		 Autostereogram with an hidden volcano
4-89 reference(s)
4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
5-88 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
6-83 reference(s)		 The random walk of photons escaping the Sun
7-76 reference(s)		 The random walk of photons escaping the Sun
8-74 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-
9-52 reference(s)		 A blue sponge-tree -a Tribute to Yves Klein-
10-52 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
11-52 reference(s)		 Autostereogram with an hidden volcano
12-51 reference(s)
The bidimensional John Conway's life game
13-51 reference(s)		 The random walk of photons escaping the Sun
14-50 reference(s)		 Artistic view of the prime numbers
15-49 reference(s)		 Happy new year 2000
16-48 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-
17-47 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-
18-46 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
19-45 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-
20-45 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-
21-45 reference(s)		 Autostereogram with an hidden volcano
22-44 reference(s)		 Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
23-44 reference(s)		 The first four iterations of the construction of the von Koch snowflake
24-43 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
25-43 reference(s)		 A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
26-42 reference(s)		 Bidimensional geometrical texture animation
27-41 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
28-41 reference(s)
Bidimensional texture animation by means of the Generalized Product
29-41 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-
30-41 reference(s)		 Tridimensional zoom in on the Mandelbrot set
31-41 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
32-41 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
33-41 reference(s)		 Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
34-40 reference(s)		 Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
35-40 reference(s)		 Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
36-40 reference(s)
From Mars to the Sun
37-40 reference(s)		 The Möbius strip
38-40 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
39-39 reference(s)		 Tridimensional texture animation by means of the Generalized Product
40-39 reference(s)
The generalized Ulam spiral displaying 100 numbers
41-35 reference(s)		 The Bonan-Jeener-Klein triple bottle
42-34 reference(s)		 An aperiodic Penrose tiling of the plane
43-33 reference(s)		 Autostereogram with an hidden volcano
44-33 reference(s)
Color palette 'jaune'
45-32 reference(s)		 Quantum vacuum fluctuations
46-31 reference(s)		 Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
47-31 reference(s)		 The generalized Ulam spiral
48-31 reference(s)
Untitled 0294 -a Tribute to Victor Vasarely
49-30 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
50-29 reference(s)		 The Sierpinski carpet -iteration 1 to 5-
51-29 reference(s)		 Untitled 0265 -a Tribute to Vassily Kandinsky-
52-29 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
53-28 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
54-27 reference(s)		 Metropolis -a Tribute to Fritz Lang-
55-27 reference(s)		 A distorded -for the sake of display- 5-cube -an hyperhypercube-
56-27 reference(s)
The Jeener-Klein triple bottle
57-26 reference(s)		 Pseudo Olympic Rings
58-24 reference(s)		 Artistic view of gravitational waves
59-24 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
60-24 reference(s)
Bidimensional Hilbert Curve -iteration 4-
61-24 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
62-24 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
63-23 reference(s)		 Untitled 0271 -a Tribute to Vassily Kandinsky-
64-23 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
65-23 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
66-22 reference(s)		 A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
67-22 reference(s)		 Autostereogram with an hidden ring and ghost bows
68-22 reference(s)
Autostereogram of Monument Valley
69-22 reference(s)		 The Jeener opera -10-Sydney-
70-22 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
71-22 reference(s)		 An aperiodic Penrose tiling of the plane
72-21 reference(s)
An aperiodic Penrose tiling of the plane
73-21 reference(s)		 A pay slip
74-21 reference(s)		 Fractal natural form
75-21 reference(s)		 Color palette 'orange'
76-21 reference(s)
Hodographs -with display of a few velocity vectors- of 5 of the 9 planets of the Solar System during three plutonian years
77-21 reference(s)		 A shell (Jeener surface 1)
78-21 reference(s)		 Autostereogram with an hidden volcano
79-20 reference(s)		 The Sierpinski carpet -iteration 5-
80-20 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
81-20 reference(s)		 The Universe at the heart of a Calabi-Yau manifold
82-19 reference(s)		 The 64 first lines of the Pascal's Triangle
83-19 reference(s)		 Victor Vasarely meets Piet Mondrian
84-19 reference(s)
Quark and gluon structure of a nucleon
85-19 reference(s)		 The construction process of the Menger sponge
86-19 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
87-19 reference(s)		 Black dots on a square lattice
88-19 reference(s)
Sixteen interlaced fractal torus
89-19 reference(s)		 The Boy surface
90-18 reference(s)		 The Scream -a Tribute to Edvard Munch-
91-18 reference(s)		 The Menger sponge -iteration 5-
92-18 reference(s)
Bidimensional zoom in on the Mandelbrot set
93-18 reference(s)		 The Lorenz attractor
94-18 reference(s)		 Isle of the Dead -a Tribute to Arnold Böcklin-
95-18 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
96-17 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
97-17 reference(s)		 Hypercube
98-17 reference(s)		 A shell (Jeener surface 1)in motion
99-17 reference(s)		 Untitled 0336
100-16 reference(s)
The Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
101-16 reference(s)		 Tridimensional Hilbert Curve -iteration 3-
102-16 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
103-16 reference(s)		 Quadruple impossible staircase built by means of a paradoxal structure -a Tribute to Maurits Cornelis Escher-
104-16 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
105-16 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
106-16 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
107-16 reference(s)		 LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
108-16 reference(s)
A random tridimensional binary tree
109-15 reference(s)		 A random tridimensional binary tree
110-15 reference(s)		 The Boy surface
111-15 reference(s)		 The Ulam spiral
112-15 reference(s)
N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation
113-15 reference(s)		 An amazing cross-section inside the Menger sponge -iteration 5-
114-15 reference(s)		 A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
115-15 reference(s)		 Untitled 0322
116-15 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
117-15 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
118-15 reference(s)		 The 64 first lines of the Pascal's Triangle -modulo 7-
119-14 reference(s)		 Along the border of the Mandelbrot set
120-14 reference(s)
A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
121-14 reference(s)		 Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
122-14 reference(s)		 Sunny Monument Valley
123-14 reference(s)		 Monument Valley à la David Hockney
124-14 reference(s)
Quark and gluon structure of a nucleon
125-14 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)
126-14 reference(s)		 From 'geocentrism' to 'heliocentrism'
127-14 reference(s)		 From Pluto to the Sun (non linear scales)
128-14 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
799 reference(s)		 2-AVirtualSpaceTimeTravelMachine.Ang
771 reference(s)
3-Vcatalogue.11
580 reference(s)		 4-Galerie_NumberTheory.FV
323 reference(s)
5-An2000.01.Fra
305 reference(s)		 6-help.
234 reference(s)
7-RealNumbers.01.Fra
217 reference(s)		 8-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
210 reference(s)
9-Galerie_ArtisticCreation.FV
210 reference(s)		 10-Galerie_GeneralitiesVisualization.FV
209 reference(s)
11-Commentaires_NKleinBottle.01
197 reference(s)		 12-LOG_xiMc.11
187 reference(s)
13-Galerie_ParticleSystems.FV
185 reference(s)		 14-Galerie_ArtAndScience.FV
185 reference(s)
15-Fractal.01
184 reference(s)		 16-AVirtualSpaceTimeTravelMachine.Fra
182 reference(s)
17-FloatingPointNumbers.01.Fra
175 reference(s)		 18-AProposSite.01.Fra
174 reference(s)
19-Galerie_NewPictures.FV
171 reference(s)		 20-SurfaceProjector.01.Ang
169 reference(s)
21-nombresreels
166 reference(s)		 22-Galerie_CelestialMechanics.FV
166 reference(s)
23-MorePages.
164 reference(s)		 24-Galerie_TextureSynthesis.FV
164 reference(s)
25-logiciel
163 reference(s)		 26-demo14
163 reference(s)
27-demo.14
163 reference(s)		 28-demo
163 reference(s)
29-an2000
163 reference(s)		 30-GoldenTriangle.01.Fra
163 reference(s)
31-Galerie_DeterministicFractalGeometry.FV
163 reference(s)		 32-realnumbers
162 reference(s)
33-genielogiciel
162 reference(s)		 34-copyright.01.
159 reference(s)
35-mail.01.vv
158 reference(s)		 36-ExpV_VirE.11
156 reference(s)
37-Galerie_SensitivityToRoundingOffErrors.FV
155 reference(s)		 38-Galerie_Astrophysics.FV
155 reference(s)
39-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
154 reference(s)		 40-UlamSpiral.01.Fra
152 reference(s)
41-SurfaceProjector.01.Fra
152 reference(s)		 42-Fractal.11
152 reference(s)
43-Stereogrammes_AutoStereogrammes.01
151 reference(s)		 44-GenieLogiciel_VisualisationScientifique.01.vv
151 reference(s)
45-Galerie_QuantumMechanics.FV
151 reference(s)		 46-Galerie_Tributes.FV
150 reference(s)
47-Galerie_DeterministicChaos.FV
149 reference(s)		 48-BEST.20171028
149 reference(s)
49-NDimensionalDeterministicFractalSets.01.Ang
148 reference(s)		 50-MathematiquesPhysiqueFractales.12
148 reference(s)
51-MathematiquesPhysiqueFractales.02
148 reference(s)		 52-EntrelacsIntertwinings.01.Fra
148 reference(s)
53-Galerie_ImagesDidactiques.FV
146 reference(s)		 54-Autostereograms.01.
145 reference(s)
55-Informations_AboutPicturesAnimationsAndFiles.01.Ang
144 reference(s)		 56-Exposition_EcolePolytechnique_FeteDeLaScience_201910
144 reference(s)
57-AnimFractal.01.
144 reference(s)		 58-Galerie_SignalProcessing.FV
143 reference(s)
59-FloatingPointNumbers.01.Ang
143 reference(s)		 60-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
142 reference(s)
61-MonodimensionalCellularAutomata.01.Fra
141 reference(s)		 62-ImpossibleStructures.01.Ang
140 reference(s)
63-ImagesDuVirtuel.01.Fra.FV
140 reference(s)		 64-present.01.
138 reference(s)
65-Fractal.21
138 reference(s)		 66-Informations_GoodNewsAndBadNews.01.Fra
137 reference(s)
67-EntrelacsIntertwinings.01.Ang
137 reference(s)		 68-DieuScience.01.Fra
135 reference(s)
69-NDimensionalDeterministicFractalSets.01.Fra
134 reference(s)		 70-Kepler.02.
134 reference(s)
71-Galerie_ImagesDesMathematiques.FV
134 reference(s)		 72-Galerie_BestOf.FV
134 reference(s)
73-PerteDeLAssociativite.01
133 reference(s)		 74-GoldenTriangle.01.Ang
133 reference(s)
75-MonodimensionalCellularAutomata.01.Ang
132 reference(s)		 76-BEST.20170528
132 reference(s)
77-infinity.01.vv
131 reference(s)		 78-OrdinateursEtCalculs.01.Fra
131 reference(s)
79-GenieLogiciel.01.Fra
131 reference(s)		 80-IllusionConnaissance.02
130 reference(s)
81-ExpV_VirE.21
130 reference(s)		 82-BEST.20140128
129 reference(s)
83-UlamSpiral.01.Ang
127 reference(s)		 84-BEST.20141228
127 reference(s)
85-catalogue.11
126 reference(s)		 86-FaireDeLaRecherche.01.vv
126 reference(s)
87-BEST.20160228
126 reference(s)		 88-Pcatalogue.11
125 reference(s)
89-NatureDesMathematiques.01.vv.Fra
125 reference(s)		 90-Galerie_FluidMechanics.FV
125 reference(s)
91-Commentaires_BourgeonDeJeener.01
125 reference(s)		 92-ImpossibleStructures.01.Fra
124 reference(s)
93-FaireDesMathematiques.01.Fra
124 reference(s)		 94-NombresEtLumiere.01.vv.Fra
123 reference(s)
95-subject.01.
122 reference(s)		 96-BEST.20130628
122 reference(s)
97-infinity.02.vv
121 reference(s)		 98-RasoirDOccamEtMathematiques.01.vv.Fra
121 reference(s)
99-Informations_GoodNewsAndBadNews.01.Ang
121 reference(s)		 100-DuModeleALImage.02.Fra
121 reference(s)
101-Commentaires_CoquillageDeJeener.02
121 reference(s)		 102-OrdinateursEtCalculs.01.Ang
120 reference(s)
103-Commentaires_BoucleJeenerBottle.01
120 reference(s)		 104-BEST.20130428
120 reference(s)
105-create.03.
119 reference(s)		 106-MathematiquesPhysiqueFractales.02.1
119 reference(s)
107-ManyChaos.01.Fra
118 reference(s)		 108-Exposition_EcolePolytechnique_FeteDeLaScience_201810
118 reference(s)
109-BEST.20140828
118 reference(s)		 110-MathematiquesPhysiqueFractales.22
117 reference(s)
111-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
117 reference(s)		 112-Fractal.03
117 reference(s)
113-Fractal.02
117 reference(s)		 114-BEST.20170828
117 reference(s)
115-BEST.20170128
117 reference(s)		 116-BEST.20150828
117 reference(s)
117-BEST.20141028
117 reference(s)		 118-AQuoiServentLesMathematiques.01
117 reference(s)
119-VirtualChaos.01.Ang
116 reference(s)		 120-RemarquesCerveau.01
116 reference(s)
121-OrdinateurMathematiquesArt.01.Fra
116 reference(s)		 122-Informations_AboutPicturesAnimationsAndFiles.01.Fra
116 reference(s)
123-Exposition_EcolePolytechnique_FeteDeLaScience_201510
116 reference(s)		 124-VirtualChaos.01.Fra
115 reference(s)
125-PerteDeLAssociativite.01.MUL3
115 reference(s)		 126-PatrimoineHumanite.02.Fra
115 reference(s)
127-ArtScience.01
115 reference(s)		 128-MiseEnSceneDesNombres.01.vv.Fra
114 reference(s)

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




Copyright © Jean-François COLONNA, 2020-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2020-2023.