Monthly Best Of on 08/28/2017




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 08/28/2017 and last updated on 11/14/2023 17:49:19 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Erosion of a bidimensional random (with small and large scale correlations)medium
1-258 reference(s)		 The Sierpinski carpet -iteration 1-
2-238 reference(s)		 Hypercube
3-213 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-194 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
5-178 reference(s)		 Portrait (Lena)-7x7 square-
6-160 reference(s)		 Happy new year 2000
7-155 reference(s)		 Autostereogram with an hidden volcano
8-152 reference(s)
Bidimensional Hilbert Curve -iteration 4-
9-147 reference(s)		 Autostereogram with an hidden volcano
10-146 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
11-132 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
12-119 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
13-116 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
14-97 reference(s)		 The Bonan-Jeener-Klein triple bottle
15-92 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
16-85 reference(s)
Autostereogram with an hidden ring and ghost bows
17-81 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
18-80 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
19-74 reference(s)		 Artistic view of the prime numbers
20-71 reference(s)
The generalized Ulam spiral
21-64 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
22-62 reference(s)		 The random walk of photons escaping the Sun
23-57 reference(s)		 Sixteen interlaced fractal torus
24-56 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
25-55 reference(s)		 The bidimensional John Conway's life game
26-54 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
27-52 reference(s)		 Anaglyph -blue=right, red=left- of a fractal hypercube
28-49 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
29-45 reference(s)		 Autostereogram with an hidden volcano
30-44 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
31-44 reference(s)		 Fractal natural form
32-43 reference(s)
The random walk of photons escaping the Sun
33-42 reference(s)		 Autostereogram with an hidden ring and ghost bows
34-41 reference(s)		 Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
35-40 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
36-40 reference(s)
Quantum vacuum fluctuations
37-39 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
38-39 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
39-39 reference(s)		 An aperiodic Penrose tiling of the plane
40-38 reference(s)
Autostereogram with an hidden volcano
41-38 reference(s)		 Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
42-38 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
43-38 reference(s)		 Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
44-38 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
45-37 reference(s)		 Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
46-37 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-
47-37 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
48-37 reference(s)
Bidimensional geometrical texture animation
49-36 reference(s)		 The random walk of photons escaping the Sun
50-36 reference(s)		 A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
51-36 reference(s)		 Tridimensional texture animation by means of the Generalized Product
52-36 reference(s)
Bidimensional texture animation by means of the Generalized Product
53-36 reference(s)		 From Mars to the Sun
54-36 reference(s)		 The Möbius strip
55-36 reference(s)		 Tridimensional zoom in on the Mandelbrot set
56-36 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
57-36 reference(s)		 The Jeener-Klein triple bottle
58-35 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
59-34 reference(s)		 The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
60-34 reference(s)
Tridimensional Hilbert Curve -iteration 3-
61-33 reference(s)		 Tridimensional fractal structure
62-32 reference(s)		 Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
63-31 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
64-30 reference(s)
Autostereogram with an hidden volcano
65-30 reference(s)		 An Archimedes spiral displaying 10000 numbers
66-30 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
67-30 reference(s)		 The Universe at the heart of a Calabi-Yau manifold
68-29 reference(s)
True colors autostereogram of a fractal landscape
69-27 reference(s)		 Quark and gluon structure of a nucleon
70-27 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
71-26 reference(s)		 Pseudo Olympic Rings
72-25 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
73-25 reference(s)		 Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
74-25 reference(s)		 An aperiodic Penrose tiling of the plane
75-23 reference(s)		 Fractal structure of a nucleon
76-23 reference(s)
An Archimedes spiral displaying 100000 numbers
77-23 reference(s)		 A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
78-23 reference(s)		 Isle of the Dead -a Tribute to Arnold Böcklin-
79-23 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
80-22 reference(s)
Quark and gluon structure of a nucleon
81-22 reference(s)		 From 'geocentrism' to 'heliocentrism'
82-22 reference(s)		 Bidimensional zoom in on the Mandelbrot set
83-22 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
84-21 reference(s)
A 'triple stack' of two aperiodic Penrose tilings of the plane
85-21 reference(s)		 Generation of the 63 first Conway's surreal numbers
86-21 reference(s)		 The end of the World
87-21 reference(s)		 Portrait (Lena)-with a 'OY' symmetry-
88-21 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
89-21 reference(s)		 Close-up on a foggy pseudo-quaternionic Mandelbrot set with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
90-21 reference(s)		 Autostereogram of Monument Valley
91-20 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
92-20 reference(s)
From Pluto to the Sun -extrapolation 2-
93-20 reference(s)		 The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
94-20 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
95-20 reference(s)		 The Penrose city
96-19 reference(s)
The generalized Ulam spiral displaying 100 numbers
97-19 reference(s)		 A fractal vegetal structure -'the Knowledge Tree'-
98-18 reference(s)		 Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
99-18 reference(s)		 A fractal hypercube
100-18 reference(s)
A tridimensionally distorded aperiodic Penrose tiling of the plane
101-17 reference(s)		 The Sierpinski carpet -iteration 1-
102-17 reference(s)		 An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
103-17 reference(s)		 Close-up on a foggy pseudo-quaternionic Mandelbrot set with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
104-17 reference(s)
Close-up on a foggy pseudo-quaternionic Mandelbrot set with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
105-17 reference(s)		 Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
106-17 reference(s)		 The Jeener-Klein triple bottle
107-17 reference(s)		 The 64 first lines of the Pascal's Triangle -modulo 7-
108-16 reference(s)
An aperiodic Penrose tiling of the plane
109-16 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
110-16 reference(s)		 24 evenly distributed points on a sphere by means of simulated annealing
111-16 reference(s)		 An Archimedes spiral displaying 5000 numbers
112-16 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
113-16 reference(s)		 Tridimensional display of the inflationary Universe
114-16 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
115-16 reference(s)		 The first four iterations of the construction of the von Koch snowflake
116-15 reference(s)
An aperiodic Penrose tiling of the plane
117-15 reference(s)		 2000 evenly distributed points on a sphere by means of the Fibonacci spiral
118-15 reference(s)		 Fractal natural form
119-15 reference(s)		 The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
120-15 reference(s)
A perfect bidimensional fractal tree and the self-similarity
121-14 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
122-14 reference(s)		 Untitled 0264
123-14 reference(s)		 Mountains and clouds
124-14 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
125-14 reference(s)		 Close-up on a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
126-14 reference(s)		 A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
127-14 reference(s)		 The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
128-14 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
957 reference(s)		 2-An2000.01.Fra
883 reference(s)
3-ComplexiteStructurelleClassements.11
409 reference(s)		 4-Galerie_GeneralitiesVisualization.FV
367 reference(s)
5-AVirtualSpaceTimeTravelMachine.Ang
324 reference(s)		 6-Vcatalogue.11
293 reference(s)
7-Galerie_ArtAndScience.FV
290 reference(s)		 8-help.
261 reference(s)
9-Galerie_NumberTheory.FV
243 reference(s)		 10-RealNumbers.01.Fra
242 reference(s)
11-GenieLogiciel_VisualisationScientifique.01.vv
241 reference(s)		 12-Fractal.01
237 reference(s)
13-FloatingPointNumbers.01.Ang
233 reference(s)		 14-FaireDeLaRecherche.01.vv
229 reference(s)
15-AVirtualSpaceTimeTravelMachine.Fra
229 reference(s)		 16-Stereogrammes_AutoStereogrammes.01
225 reference(s)
17-MathematiquesPhysiqueFractales.02
218 reference(s)		 18-Galerie_ArtisticCreation.FV
218 reference(s)
19-AProposSite.01.Fra
216 reference(s)		 20-Galerie_QuantumMechanics.FV
215 reference(s)
21-Galerie_DeterministicFractalGeometry.FV
215 reference(s)		 22-FloatingPointNumbers.01.Fra
213 reference(s)
23-mail.01.vv
209 reference(s)		 24-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
209 reference(s)
25-Galerie_ParticleSystems.FV
205 reference(s)		 26-SurfaceProjector.01.Fra
204 reference(s)
27-MorePages.
204 reference(s)		 28-MathematiquesPhysiqueFractales.22
204 reference(s)
29-GenieLogiciel.01.Fra
203 reference(s)		 30-Galerie_CelestialMechanics.FV
203 reference(s)
31-NDimensionalDeterministicFractalSets.01.Fra
201 reference(s)		 32-Galerie_NewPictures.FV
201 reference(s)
33-Galerie_BestOf.FV
200 reference(s)		 34-SurfaceProjector.01.Ang
199 reference(s)
35-AnimFractal.01.
199 reference(s)		 36-copyright.01.
198 reference(s)
37-AQuoiServentLesMathematiques.01
196 reference(s)		 38-NDimensionalDeterministicFractalSets.01.Ang
194 reference(s)
39-LOG_xiMc.11
194 reference(s)		 40-Kepler.02.
192 reference(s)
41-GoldenTriangle.01.Fra
189 reference(s)		 42-Fractal.03
186 reference(s)
43-ExpV_VirE.11
186 reference(s)		 44-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
184 reference(s)
45-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
184 reference(s)		 46-catalogue.11
183 reference(s)
47-UlamSpiral.01.Fra
183 reference(s)		 48-infinity.01.vv
181 reference(s)
49-Fractal.11
181 reference(s)		 50-Galerie_FluidMechanics.FV
180 reference(s)
51-Galerie_DeterministicChaos.FV
180 reference(s)		 52-MonodimensionalCellularAutomata.01.Fra
179 reference(s)
53-EntrelacsIntertwinings.01.Fra
178 reference(s)		 54-OrdinateursEtCalculs.01.Fra
177 reference(s)
55-subject.01.
176 reference(s)		 56-GoldenTriangle.01.Ang
176 reference(s)
57-Galerie_Astrophysics.FV
175 reference(s)		 58-ImagesDuVirtuel.01.Fra.FV
174 reference(s)
59-Autostereograms.01.
174 reference(s)		 60-MathematiquesModeleOutilArtiste.02.Ang
173 reference(s)
61-FaireDesMathematiques.01.Fra
173 reference(s)		 62-DieuScience.01.Fra
173 reference(s)
63-create.03.
172 reference(s)		 64-ImpossibleStructures.01.Ang
172 reference(s)
65-OrdinateursEtCalculs.01.Ang
171 reference(s)		 66-NombresEtLumiere.01.vv.Fra
171 reference(s)
67-ImpossibleStructures.01.Fra
171 reference(s)		 68-Galerie_SensitivityToRoundingOffErrors.FV
171 reference(s)
69-NatureDesMathematiques.01.vv.Fra
168 reference(s)		 70-EntrelacsIntertwinings.01.Ang
167 reference(s)
71-VirtualChaos.01.Ang
166 reference(s)		 72-PerteDeLAssociativite.01
166 reference(s)
73-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
166 reference(s)		 74-OrdinateurMathematiquesArt.01.Fra
165 reference(s)
75-MiseEnSceneDesNombres.01.vv.Ang
165 reference(s)		 76-Galerie_TextureSynthesis.FV
165 reference(s)
77-Fractal.02
165 reference(s)		 78-ExpV_VirE.Ang
165 reference(s)
79-logiciel
164 reference(s)		 80-UlamSpiral.01.Ang
164 reference(s)
81-NombresPremiers_10000.vv
164 reference(s)		 82-ManyChaos.01.Ang
164 reference(s)
83-genielogiciel
163 reference(s)		 84-MathematiquesLangageDuGrandLivreDeLaNature.12
163 reference(s)
85-DuModeleALImage.02.Fra
163 reference(s)		 86-nombresreels
162 reference(s)
87-infinity.02.vv
162 reference(s)		 88-demo14
162 reference(s)
89-VisualisationRelief.01.vv.Fra
162 reference(s)		 90-VisitesGaleriesEnfouies.01.Ang
162 reference(s)
91-MiseEnSceneDesNombres.01.vv.Fra
162 reference(s)		 92-IllusionConnaissance.02
162 reference(s)
93-demo
161 reference(s)		 94-PerteDeLaDistributivite.01.DIS2
161 reference(s)
95-Galerie_SignalProcessing.FV
161 reference(s)		 96-EnsembleDesGaleries.DIAPO.0001
161 reference(s)
97-AvantPropos.01.Fra
161 reference(s)		 98-demo.14
160 reference(s)
99-an2000
160 reference(s)		 100-VisitesGaleriesEnfouies.01.Fra
160 reference(s)
101-Spheres.01
160 reference(s)		 102-realnumbers
159 reference(s)
103-ManyChaos.01.Fra
159 reference(s)		 104-LesApprentisDieux.01
159 reference(s)
105-Galerie_Tributes.FV
159 reference(s)		 106-RemarquesCerveau.01
158 reference(s)
107-MathematiquesEtCinematographe.01.vv
157 reference(s)		 108-QuelquesQuestionsSurLaRecherche.01.Fra
156 reference(s)
109-MathematiquesEtRepresentations.01.vv.Ang
156 reference(s)		 110-PatrimoineHumanite.02.Fra
155 reference(s)
111-MonodimensionalCellularAutomata.01.Ang
155 reference(s)		 112-EnsembleDesGaleriesFractales.DIAPO.0001
155 reference(s)
113-present.01.
153 reference(s)		 114-Commentaires_Epicycloide.03
152 reference(s)
115-Informations_GoodNewsAndBadNews.01.Fra
151 reference(s)		 116-VirtualChaos.01.Fra
150 reference(s)
117-RasoirDOccamEtMathematiques.01.vv.Ang
150 reference(s)		 118-RasoirDOccamEtMathematiques.01.vv.Fra
149 reference(s)
119-An2000.02.Fra
149 reference(s)		 120-AvantPropos.01.Ang
148 reference(s)
121-ExpV_VirE.21
140 reference(s)		 122-Galerie_ImagesDesMathematiques.FV
137 reference(s)
123-Informations_AboutPicturesAnimationsAndFiles.01.Ang
135 reference(s)		 124-MathematiquesPhysiqueFractales.01
133 reference(s)
125-VisSci_SciVis.02
131 reference(s)		 126-ArtScience.01
127 reference(s)
127-Informations_AboutPicturesAnimationsAndFiles.01.Fra
126 reference(s)		 128-VisSci_SciVis.01
125 reference(s)

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




Copyright © Jean-François COLONNA, 2017-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2017-2023.