Monthly Best Of on 04/28/2021




The bidimensional Ising Model after 1000 iterations, with 2-state spins, random initial conditions and for a temperature equal to the critical temperature

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 04/28/2021 and last updated on 11/14/2023 17:50:09 -CET-)




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-
1-135 reference(s)		 Autostereogram with an hidden volcano
2-82 reference(s)		 The random walk of photons escaping the Sun
3-62 reference(s)		 Artistic view of the prime numbers
4-51 reference(s)
The random walk of photons escaping the Sun
5-50 reference(s)		 The bidimensional John Conway's life game
6-47 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
7-45 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
8-42 reference(s)
The Universe at the heart of a Calabi-Yau manifold
9-42 reference(s)		 Untitled 0004
10-42 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
11-42 reference(s)		 From Mars to the Sun
12-41 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
13-40 reference(s)		 Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
14-40 reference(s)		 Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
15-40 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-
16-39 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-
17-39 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-
18-39 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
19-39 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
20-39 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
21-39 reference(s)		 Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
22-39 reference(s)		 Tridimensional texture animation by means of the Generalized Product
23-39 reference(s)		 Tridimensional zoom in on the Mandelbrot set
24-39 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
25-39 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)
26-39 reference(s)		 Fractal diffusion front in a bidimensional medium obtained by means of a random walk process (zoom in on the first steps)
27-39 reference(s)		 Bidimensional geometrical texture animation
28-38 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-
29-38 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-
30-38 reference(s)		 Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
31-38 reference(s)		 Bidimensional texture animation by means of the Generalized Product
32-38 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-
33-38 reference(s)		 The Möbius strip
34-38 reference(s)		 Autostereogram with an hidden volcano
35-33 reference(s)		 The random walk of photons escaping the Sun
36-33 reference(s)
Autostereogram with an hidden volcano
37-31 reference(s)		 The Master of the Universe
38-28 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
39-28 reference(s)		 Autostereogram with an hidden volcano
40-27 reference(s)
A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
41-27 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
42-27 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
43-25 reference(s)		 Along the border of the Mandelbrot set
44-25 reference(s)
A blue sponge-tree -a Tribute to Yves Klein-
45-25 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
46-24 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
47-24 reference(s)		 Happy new year 2000
48-24 reference(s)
Black dots on a square lattice
49-24 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
50-23 reference(s)		 An aperiodic Penrose tiling of the plane
51-22 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
52-22 reference(s)
An aperiodic Penrose tiling of the plane
53-21 reference(s)		 Autostereogram of a quaternionic Julia set -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 Lorenz attractor
57-21 reference(s)		 Quantum vacuum fluctuations
58-20 reference(s)		 2000 evenly distributed points on a sphere by means of the Fibonacci spiral
59-20 reference(s)		 Composition sans objet numéro 61 -a Tribute to Alexander Rodtchenko-
60-20 reference(s)
A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
61-20 reference(s)		 The Jeener-Klein triple bottle
62-20 reference(s)		 Quantum vacuum fluctuations
63-19 reference(s)		 An aperiodic Penrose tiling of the plane
64-19 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
65-19 reference(s)		 Autostereogram with an hidden ring and ghost bows
66-19 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
67-19 reference(s)		 Bidimensional zoom in on the Mandelbrot set
68-19 reference(s)
Jean-François COLONNA (on 11/17/1994)with its fractal mountains
69-19 reference(s)		 Isle of the Dead -a Tribute to Arnold Böcklin-
70-19 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
71-19 reference(s)		 The Simpson paradox
72-18 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
73-18 reference(s)		 Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
74-17 reference(s)		 A tridimensional distorted cubic mesh defined by means of three tridimensional fields
75-17 reference(s)		 A tridimensional cubic mesh with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
76-17 reference(s)
The Ulam spiral
77-17 reference(s)		 A spherical cross-section inside the Menger sponge -iteration 5-
78-17 reference(s)		 The Menger sponge -iteration 5-
79-17 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
80-17 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
81-17 reference(s)		 The Jeener-Klein triple bottle
82-17 reference(s)		 The first four iterations of the construction of the von Koch snowflake
83-16 reference(s)		 The 64 first lines of the Pascal's Triangle -modulo 2-
84-16 reference(s)
An aperiodic Penrose tiling of the plane
85-16 reference(s)		 Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
86-16 reference(s)		 The generalized Ulam spiral displaying 100 numbers
87-16 reference(s)		 Quark and gluon structure of a nucleon
88-16 reference(s)
An extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
89-16 reference(s)		 The intersection of the Menger sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation-
90-16 reference(s)		 A pseudo-octonionic Mandelbrot set -tridimensional cross-section-
91-16 reference(s)		 Tridimensional Hilbert Curve -iteration 3-
92-16 reference(s)
The Sierpinski carpet -iteration 5-
93-15 reference(s)		 The Sierpinski carpet -iteration 1 to 5-
94-15 reference(s)		 Dissonance chaude/Dissonance froide -a Tribute to Paul Sérusier-
95-15 reference(s)		 4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
96-15 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
97-15 reference(s)		 Bidimensional zoom in on the Mandelbrot set
98-15 reference(s)		 A fractal Möbius strip
99-15 reference(s)		 Untitled 0353
100-15 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
101-15 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
102-15 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
103-14 reference(s)		 Sunny Monument Valley
104-14 reference(s)
Botticelli anomaly on the Moon
105-14 reference(s)		 Sixteen interlaced fractal torus
106-14 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
107-14 reference(s)		 Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 637.312 galaxies)obtained by means of a non deterministic fractal process
108-14 reference(s)
Universe or Multiverse -The fractal Universe-?
109-13 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
110-13 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
111-13 reference(s)		 The generalized Ulam spiral displaying 1024 numbers
112-13 reference(s)
An Archimedes spiral displaying 1000 numbers
113-13 reference(s)		 Untitled 0370
114-13 reference(s)		 The Birth of the Universe
115-13 reference(s)		 Happy new year 2000
116-13 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
117-13 reference(s)		 Bidimensional cross-sections inside a fractal structure
118-13 reference(s)		 The 64 first lines of the Pascal's Triangle -modulo 3-
119-12 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
120-12 reference(s)
Pseudo Olympic Rings
121-12 reference(s)		 The Borromean Rings
122-12 reference(s)		 The Klein bottle defined by means of three bidimensional fields
123-12 reference(s)		 A variable Archimedes spiral displaying 1000 numbers
124-12 reference(s)
A regular 7-gon -an heptagon-
125-12 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
126-12 reference(s)		 The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
127-12 reference(s)		 The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
128-12 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
781 reference(s)		 2-AVirtualSpaceTimeTravelMachine.Ang
450 reference(s)
3-An2000.01.Fra
336 reference(s)		 4-Galerie_NumberTheory.FV
290 reference(s)
5-Vcatalogue.11
225 reference(s)		 6-help.
215 reference(s)
7-RealNumbers.01.Fra
208 reference(s)		 8-Galerie_GeneralitiesVisualization.FV
204 reference(s)
9-Galerie_ArtAndScience.FV
191 reference(s)		 10-Fractal.01
186 reference(s)
11-FloatingPointNumbers.01.Ang
186 reference(s)		 12-mail.01.vv
184 reference(s)
13-Galerie_ArtisticCreation.FV
181 reference(s)		 14-Stereogrammes_AutoStereogrammes.01
177 reference(s)
15-AProposSite.01.Fra
176 reference(s)		 16-FloatingPointNumbers.01.Fra
174 reference(s)
17-Galerie_TextureSynthesis.FV
171 reference(s)		 18-nombresreels
170 reference(s)
19-logiciel
167 reference(s)		 20-demo.14
167 reference(s)
21-genielogiciel
165 reference(s)		 22-Fractal.21
165 reference(s)
23-realnumbers
164 reference(s)		 24-demo14
164 reference(s)
25-GoldenTriangle.01.Fra
164 reference(s)		 26-Galerie_NewPictures.FV
164 reference(s)
27-demo
162 reference(s)		 28-an2000
162 reference(s)
29-copyright.01.
159 reference(s)		 30-GenieLogiciel_VisualisationScientifique.01.vv
158 reference(s)
31-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
157 reference(s)		 32-Galerie_DeterministicFractalGeometry.FV
157 reference(s)
33-EntrelacsIntertwinings.01.Fra
157 reference(s)		 34-Galerie_ParticleSystems.FV
156 reference(s)
35-Fractal.11
156 reference(s)		 36-LOG_xiMc.11
153 reference(s)
37-ExpV_VirE.11
151 reference(s)		 38-SurfaceProjector.01.Fra
150 reference(s)
39-Galerie_CelestialMechanics.FV
150 reference(s)		 40-SurfaceProjector.01.Ang
149 reference(s)
41-Galerie_Astrophysics.FV
149 reference(s)		 42-subject.01.
145 reference(s)
43-Galerie_QuantumMechanics.FV
145 reference(s)		 44-EntrelacsIntertwinings.01.Ang
145 reference(s)
45-Informations_AboutPicturesAnimationsAndFiles.01.Ang
144 reference(s)		 46-AnimFractal.01.
144 reference(s)
47-AVirtualSpaceTimeTravelMachine.Fra
144 reference(s)		 48-MonodimensionalCellularAutomata.01.Fra
143 reference(s)
49-DieuScience.01.Fra
143 reference(s)		 50-Autostereograms.01.
143 reference(s)
51-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
142 reference(s)		 52-Galerie_BestOf.FV
142 reference(s)
53-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
142 reference(s)		 54-MorePages.
141 reference(s)
55-GenieLogiciel.01.Fra
141 reference(s)		 56-MathematiquesPhysiqueFractales.12
140 reference(s)
57-NDimensionalDeterministicFractalSets.01.Fra
139 reference(s)		 58-MathematiquesPhysiqueFractales.02
139 reference(s)
59-Galerie_ImagesDesMathematiques.FV
138 reference(s)		 60-Kepler.02.
137 reference(s)
61-UlamSpiral.01.Fra
136 reference(s)		 62-Galerie_ImagesDidactiques.FV
136 reference(s)
63-GoldenTriangle.01.Ang
135 reference(s)		 64-FaireDeLaRecherche.01.vv
135 reference(s)
65-NDimensionalDeterministicFractalSets.01.Ang
134 reference(s)		 66-Galerie_DeterministicChaos.FV
134 reference(s)
67-Exposition_EcolePolytechnique_FeteDeLaScience_201910
134 reference(s)		 68-ImagesDuVirtuel.01.Fra
132 reference(s)
69-OrdinateursEtCalculs.01.Ang
130 reference(s)		 70-NatureDesMathematiques.01.vv.Fra
130 reference(s)
71-DuModeleALImage.02.Fra
130 reference(s)		 72-MathematiquesPhysiqueFractales.02.27
129 reference(s)
73-AQuoiServentLesMathematiques.01
129 reference(s)		 74-present.01.
127 reference(s)
75-infinity.01.vv
127 reference(s)		 76-ImagesDuVirtuel.01.Fra.FV
127 reference(s)
77-Galerie_SensitivityToRoundingOffErrors.FV
127 reference(s)		 78-ArithmetiqueEtOrdinateur.01.vv.Fra
127 reference(s)
79-RemarquesCerveau.01
126 reference(s)		 80-NombresEtLumiere.01.vv.Fra
125 reference(s)
81-MonodimensionalCellularAutomata.01.Ang
125 reference(s)		 82-Galerie_Tributes.FV
125 reference(s)
83-Fractal.03
125 reference(s)		 84-DecimalesPi_100000.vv
125 reference(s)
85-MathematiquesPhysiqueFractales.22
124 reference(s)		 86-Pcatalogue.11
123 reference(s)
87-Galerie_NewPictures
123 reference(s)		 88-ImpossibleStructures.01.Ang
122 reference(s)
89-Exposition_EcolePolytechnique_FeteDeLaScience_201810
122 reference(s)		 90-DecimalesPi_1_100.vv
122 reference(s)
91-MathematiquesModeleOutilArtiste.02.Ang
121 reference(s)		 92-ImpossibleStructures.01.Fra
121 reference(s)
93-Galerie_FluidMechanics.FV
121 reference(s)		 94-AvantPropos.01.Fra
121 reference(s)
95-infinity.02.vv
120 reference(s)		 96-VirtualChaos.01.Fra
120 reference(s)
97-ManyChaos.01.Ang
120 reference(s)		 98-Informations_GoodNewsAndBadNews.01.Fra
120 reference(s)
99-IllusionConnaissance.02
120 reference(s)		 100-ExpV_VirE.21
120 reference(s)
101-BEST.20141228
120 reference(s)		 102-VirtualChaos.01.Ang
119 reference(s)
103-OrdinateursEtCalculs.01.Fra
119 reference(s)		 104-Multivers.01.Fra
119 reference(s)
105-Galerie_SignalProcessing.FV
119 reference(s)		 106-FaireDesMathematiques.01.Fra
119 reference(s)
107-RasoirDOccamEtMathematiques.01.vv.Fra
118 reference(s)		 108-Exposition_EcolePolytechnique_AnneeMondialeDeLaPhysique_2005
118 reference(s)
109-Commentaires_Hyperboloide.02
118 reference(s)		 110-BEST.20140828
118 reference(s)
111-An2000.02.Fra
118 reference(s)		 112-create.03.
117 reference(s)
113-PerteDeLAssociativite.01
117 reference(s)		 114-Exposition_OperaDeMassy_201912_202001
117 reference(s)
115-ExpV_VirE.Fra
117 reference(s)		 116-DecimalesDePi.01.Fra
117 reference(s)
117-BEST.20171028
117 reference(s)		 118-BEST.20140128
117 reference(s)
119-BEST.20130828
117 reference(s)		 120-ArtScience.01
117 reference(s)
121-Informations_GoodNewsAndBadNews.01.Ang
116 reference(s)		 122-Exposition_MairieCinquiemeArrondissementParis_202001_202002
116 reference(s)
123-BEST.20170828
116 reference(s)		 124-BEST.20170128
116 reference(s)
125-BEST.20130628
116 reference(s)		 126-BEST.20071128
116 reference(s)
127-An2000.06.Fra
116 reference(s)		 128-UlamSpiral.01.Ang
115 reference(s)

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Copyright © Jean-François COLONNA, 2021-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2021-2023.