Monthly Best Of on 05/28/2019




The 'island-peninsula' phenomenon of the fractal diffusion front in a bidimensional medium 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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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
1-208 reference(s)		Autostereogram with an hidden volcano
2-189 reference(s)		Erosion of a bidimensional random (with small and large scale correlations)medium
3-166 reference(s)		Victor Vasarely meets Piet Mondrian
4-111 reference(s)
The random walk of photons escaping the Sun
5-111 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
6-103 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
7-102 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
8-101 reference(s)
An aperiodic Penrose tiling of the plane
9-99 reference(s)		Happy new year 2000
10-94 reference(s)		The Bonan-Jeener-Klein triple bottle
11-85 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
12-83 reference(s)
Gravitation and space-time curvature
13-79 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
14-79 reference(s)		Autostereogram with an hidden volcano
15-75 reference(s)		Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
16-71 reference(s)
From 'geocentrism' to 'heliocentrism'
17-71 reference(s)		Hypercube
18-70 reference(s)		The bidimensional John Conway's life game
19-67 reference(s)		The random walk of photons escaping the Sun
20-59 reference(s)
The Jeener-Klein triple bottle
21-58 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
22-56 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
23-55 reference(s)		Pseudo Olympic Rings
24-53 reference(s)
Artistic view of the prime numbers
25-52 reference(s)		A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) -tridimensional cross-section-
26-48 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
27-46 reference(s)		Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
28-42 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
29-41 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
30-41 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
31-41 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-
32-40 reference(s)
The Möbius strip
33-40 reference(s)		Bidimensional geometrical texture animation
34-39 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
35-39 reference(s)		A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
36-39 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
37-39 reference(s)		From Mars to the Sun
38-39 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
39-39 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
40-39 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
41-38 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
42-38 reference(s)		Tridimensional texture animation by means of the Generalized Product
43-38 reference(s)		A spherical cross-section inside the Menger Sponge -iteration 5-
44-38 reference(s)
Tridimensional zoom in on the Mandelbrot set
45-38 reference(s)		Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
46-37 reference(s)		Bidimensional texture animation by means of the Generalized Product
47-37 reference(s)		Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
48-37 reference(s)
My own quadruple impossible staircase -a Tribute to Maurits Cornelis Escher-
49-37 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
50-37 reference(s)		Autostereogram with an hidden volcano
51-36 reference(s)		Autostereogram of the CMAP
52-36 reference(s)
The Menger Sponge -iteration 5-
53-36 reference(s)		Two multiplexed autostereograms by means of a pi/2 rotation
54-35 reference(s)		Tridimensional Hilbert Curve -iteration 3-
55-35 reference(s)		The Sierpinski Carpet -iteration 3-
56-34 reference(s)
Metropolis -a Tribute to Fritz Lang-
57-33 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
58-32 reference(s)		Sixteen interlaced fractal torus
59-31 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
60-29 reference(s)
An aperiodic Penrose tiling of the plane
61-29 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
62-28 reference(s)		Quantum vacuum fluctuations
63-27 reference(s)		A fractal vegetal structure
64-27 reference(s)
Color palette 'jaune'
65-27 reference(s)		Notre-Dame de Paris on fire -the hell fire-
66-26 reference(s)		A fractal Klein bottle
67-25 reference(s)		A fractal Möbius strip
68-25 reference(s)
The Universe at the heart of a Calabi-Yau manifold
69-24 reference(s)		A fractal vegetal structure -'the Knowledge Tree'-
70-24 reference(s)		Bidimensional Hilbert Curve -iteration 4-
71-24 reference(s)		Notre-Dame de Paris -a tribute-
72-24 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
73-24 reference(s)		An aperiodic Penrose tiling of the plane
74-23 reference(s)		Autostereogram with an hidden volcano
75-23 reference(s)		Untitled 0265 -a Tribute to Vassily Kandinsky-
76-23 reference(s)
Notre-Dame de Paris -a tribute-
77-22 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
78-22 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
79-21 reference(s)		Dissonance chaude/Dissonance froide -a Tribute to Paul Sérusier-
80-21 reference(s)
The generalized Ulam spiral
81-21 reference(s)		Monument Valley at sunrise
82-21 reference(s)		A quaternionic Julia set -tridimensional cross-section-
83-21 reference(s)		Fractal Self-Portrait -'Décalcomanie', a Tribute to René Magritte-
84-21 reference(s)
Fractal Notre-Dame de Paris -a tribute-
85-21 reference(s)		A fractal Möbius strip
86-21 reference(s)		An aperiodic Penrose tiling of the plane
87-20 reference(s)		The Sierpinski Carpet -iteration 5-
88-20 reference(s)
A pay slip
89-20 reference(s)		Fractal natural form
90-20 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
91-20 reference(s)		Isle of the Dead -a Tribute to Arnold Böcklin-
92-20 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
93-19 reference(s)		Fractal natural form
94-19 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
95-19 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
96-19 reference(s)
The first four iterations of the construction of the von Koch snowflake
97-18 reference(s)		An aperiodic Penrose tiling of the plane -a Tribute to Piet Mondrian and Roger Penrose-
98-18 reference(s)		An aperiodic Penrose tiling of the plane
99-18 reference(s)		The Boy surface
100-18 reference(s)
An Archimedes spiral displaying 100000 numbers
101-18 reference(s)		Anaglyph -blue=right, red=left- of a fractal hypercube
102-18 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
103-18 reference(s)		The Klein bottle
104-18 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
105-17 reference(s)		Quantum vacuum fluctuations
106-17 reference(s)		Autostereogram with an hidden ring and ghost bows
107-17 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
108-17 reference(s)
The Scream -a Tribute to Edvard Munch-
109-17 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
110-17 reference(s)		An extended Menger Sponge -iteration 5-
111-17 reference(s)		The Jeener-Klein triple bottle
112-17 reference(s)
An aperiodic non linear Penrose tiling of the plane
113-16 reference(s)		The Sierpinski Carpet -iteration 1 to 5-
114-16 reference(s)		4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
115-16 reference(s)		The Borromean Rings
116-16 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
117-16 reference(s)		The Simpson paradox
118-16 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
119-16 reference(s)		Fractal Self-Portrait -a Tribute to René Magritte-
120-16 reference(s)
A 4-cube -an hypercube-
121-16 reference(s)		The Jeener-Klein quintuple bottle
122-16 reference(s)		Dissonance chaude/Dissonance froide -a Tribute to Paul Sérusier-
123-15 reference(s)		The pseudo-sphere
124-15 reference(s)
Autostereogram of Monument Valley
125-15 reference(s)		Color palette 'cercle.G5'
126-15 reference(s)		Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
127-15 reference(s)		The Lorenz attractor
128-15 reference(s)




2-The 128 most referenced Pages (*):

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



1-An2000.01.Fra
905 reference(s)		2-demo_14
802 reference(s)
3-ComplexiteStructurelleClassements.11
455 reference(s)		4-help.
429 reference(s)
5-AVirtualSpaceTimeTravelMachine.Ang
419 reference(s)		6-Vcatalogue.11
327 reference(s)
7-GenieLogiciel_VisualisationScientifique.01.vv
272 reference(s)		8-Fractal.01
263 reference(s)
9-Informations_GoodNewsAndBadNews.01.Fra
259 reference(s)		10-MorePages.
233 reference(s)
11-Informations_GoodNewsAndBadNews.01.Ang
231 reference(s)		12-RealNumbers.01.Fra
201 reference(s)
13-GoldenTriangle.01.Fra
196 reference(s)		14-AVirtualSpaceTimeTravelMachine.Fra
194 reference(s)
15-SurfaceProjector.01.Fra
183 reference(s)		16-Stereogrammes_AutoStereogrammes.01
177 reference(s)
17-Fractal.11
175 reference(s)		18-MathematiquesPhysiqueFractales.02
173 reference(s)
19-SurfaceProjector.01.Ang
169 reference(s)		20-Galerie_ArtAndScience.FV
169 reference(s)
21-AProposSite.01.Fra
169 reference(s)		22-UlamSpiral.01.Fra
168 reference(s)
23-Galerie_DeterministicFractalGeometry.FV
168 reference(s)		24-mail.01.vv
165 reference(s)
25-FloatingPointNumbers.01.Fra
163 reference(s)		26-LOG_xiMc.11
162 reference(s)
27-Galerie_NumberTheory.FV
161 reference(s)		28-demo
160 reference(s)
29-Galerie_NewPictures.FV
160 reference(s)		30-Galerie_ArtisticCreation.FV
160 reference(s)
31-realnumbers
159 reference(s)		32-demo14
159 reference(s)
33-nombresreels
158 reference(s)		34-demo.14
158 reference(s)
35-Galerie_GeneralitiesVisualization.FV
158 reference(s)		36-genielogiciel
157 reference(s)
37-an2000
157 reference(s)		38-FaireDeLaRecherche.01.vv
157 reference(s)
39-logiciel
156 reference(s)		40-DieuScience.01.Fra
156 reference(s)
41-present.01.
155 reference(s)		42-copyright.01.
155 reference(s)
43-MathematiquesPhysiqueFractales.22
152 reference(s)		44-NDimensionalDeterministicFractalSets.01.Fra
149 reference(s)
45-GenieLogiciel.01.Fra
149 reference(s)		46-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
148 reference(s)
47-Commentaires_NKleinBottle.01
148 reference(s)		48-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
147 reference(s)
49-Fractal.03
147 reference(s)		50-ExpV_VirE.11
147 reference(s)
51-MathematiquesPhysiqueFractales.12
146 reference(s)		52-Fractal.21
145 reference(s)
53-EntrelacsIntertwinings.01.Fra
144 reference(s)		54-Kepler.02.
143 reference(s)
55-Galerie_TextureSynthesis.FV
142 reference(s)		56-MonodimensionalCellularAutomata.01.Fra
139 reference(s)
57-catalogue.11
138 reference(s)		58-Galerie_ParticleSystems.FV
138 reference(s)
59-Galerie_BestOf.FV
138 reference(s)		60-IllusionConnaissance.02
137 reference(s)
61-Galerie_Tributes.FV
135 reference(s)		62-Autostereograms.01.
135 reference(s)
63-FloatingPointNumbers.01.Ang
133 reference(s)		64-EntrelacsIntertwinings.01.Ang
133 reference(s)
65-GoldenTriangle.01.Ang
131 reference(s)		66-Fractal.02
131 reference(s)
67-ConjectureDeSyracuse_0128.Parity.vv
131 reference(s)		68-Galerie_ImagesDesMathematiques.FV
130 reference(s)
69-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
128 reference(s)		70-infinity.01.vv
127 reference(s)
71-OrdinateursEtCalculs.01.Ang
127 reference(s)		72-NDimensionalDeterministicFractalSets.01.Ang
127 reference(s)
73-ImagesDuVirtuel.01.Fra.FV
127 reference(s)		74-AnimFractal.01.
127 reference(s)
75-Galerie_QuantumMechanics.FV
126 reference(s)		76-ImpossibleStructures.01.Ang
124 reference(s)
77-Galerie_Astrophysics.FV
124 reference(s)		78-DuModeleALImage.02.Fra
124 reference(s)
79-infinity.02.vv
123 reference(s)		80-NatureDesMathematiques.01.vv.Fra
123 reference(s)
81-LesApprentisDieux.01
123 reference(s)		82-Galerie_SignalProcessing.FV
123 reference(s)
83-Galerie_CelestialMechanics.FV
123 reference(s)		84-AQuoiServentLesMathematiques.01
123 reference(s)
85-PerteDeLAssociativite.01
122 reference(s)		86-MathematiquesPhysiqueFractales.01
121 reference(s)
87-Informations_AboutPicturesAnimationsAndFiles.01.Ang
121 reference(s)		88-create.03.
120 reference(s)
89-OrdinateursEtCalculs.01.Fra
120 reference(s)		90-UlamSpiral.01.Ang
119 reference(s)
91-ExpV_VirE.Ang
119 reference(s)		92-Commentaires_EscargotDeJeener.01
119 reference(s)
93-ArtScience.01
119 reference(s)		94-VirtualChaos.01.Fra
118 reference(s)
95-RasoirDOccamEtMathematiques.01.vv.Fra
118 reference(s)		96-Galerie_DeterministicChaos.FV
118 reference(s)
97-Commentaires_DefinitionPseudoQuaternions.01
118 reference(s)		98-VirtualChaos.01.Ang
117 reference(s)
99-RemarquesCerveau.01
117 reference(s)		100-NombresPremiers_10000.vv
117 reference(s)
101-MonodimensionalCellularAutomata.01.Ang
117 reference(s)		102-ManyChaos.01.Ang
117 reference(s)
103-DecimalesPi_100000.vv
117 reference(s)		104-OrdinateurMathematiquesArt.01.Fra
116 reference(s)
105-MiseEnSceneDesNombres.01.vv.Fra
116 reference(s)		106-ManyChaos.01.Fra
116 reference(s)
107-Galerie_FluidMechanics.FV
116 reference(s)		108-NombresEtLumiere.01.vv.Fra
115 reference(s)
109-MathematiquesModeleOutilArtiste.02.Ang
115 reference(s)		110-ImpossibleStructures.01.Fra
115 reference(s)
111-IllusionConnaissance.01
115 reference(s)		112-Galerie_SensitivityToRoundingOffErrors.FV
115 reference(s)
113-EnsembleDesGaleriesFractales.DIAPO.0001
115 reference(s)		114-Spheres.01
114 reference(s)
115-EnsembleDesGaleries.DIAPO.0001
114 reference(s)		116-xrq_____hydrogene.61.K.
113 reference(s)
117-Commentaires_DefinitionOperateursCorpsR.01
113 reference(s)		118-An2000.02.Fra
113 reference(s)
119-subject.01.
112 reference(s)		120-VisSci_SciVis.02
112 reference(s)
121-PatrimoineHumanite.02.Fra
112 reference(s)		122-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
112 reference(s)
123-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
112 reference(s)		124-Commentaires_DefinitionQuaternions.01
112 reference(s)
125-AvantPropos.01.Fra
112 reference(s)		126-MathematiquesPhysiqueFractales.02.1
111 reference(s)
127-MathematiquesLangageDuGrandLivreDeLaNature.12
111 reference(s)		128-ExpV_VirE.21
111 reference(s)

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Copyright © Jean-François COLONNA, 2019-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2019-2024.