Monthly Best Of on 09/28/2014




Bidimensional brownian motion with three different distribution laws regarding the radial coordinate -20 points starting from the white point at the picture center-

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 09/28/2014 and last updated on 10/03/2024 17:02:53 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The tridimensional Ising Model with 2-state spins, temperature=0.2, random initial conditions and an increasing number of iterations -from 100 to 4000-
1-1258 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
2-1255 reference(s)		Bidimensional Hilbert Curve -iteration 4-
3-718 reference(s)		A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -100.000 digits, -base 10- into 050330... -128.508 digits, base 6-
4-636 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
5-460 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
6-422 reference(s)		Tridimensional Hilbert Curve -iteration 3-
7-362 reference(s)		The random walk of photons escaping the Sun
8-179 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
9-176 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
10-158 reference(s)		Autostereogram with an hidden volcano
11-155 reference(s)		The random walk of photons escaping the Sun
12-155 reference(s)
Happy new year 2000
13-149 reference(s)		Autostereogram with an hidden volcano
14-128 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
15-121 reference(s)		A Peano 'fractal plane' defined by means of three bidimensional fields
16-120 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
17-119 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
18-119 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
19-109 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
20-104 reference(s)
Autostereogram with an hidden volcano
21-101 reference(s)		Artistic view of the prime numbers
22-96 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
23-85 reference(s)		Sixteen interlaced torus
24-83 reference(s)
Zoom in on the von Koch curve
25-76 reference(s)		The Jeener-Klein triple bottle
26-73 reference(s)		Quark and gluon structure of a nucleon
27-68 reference(s)		The Lorenz attractor
28-66 reference(s)
Quantum vacuum fluctuations
29-63 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
30-63 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)
31-61 reference(s)		The generalized Ulam spiral
32-57 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
33-57 reference(s)		Hypercube
34-54 reference(s)		True colors autostereogram of a fractal landscape
35-48 reference(s)		Autostereogram of Monument Valley
36-47 reference(s)
A tridimensional pseudo-random walk defined by means of 'phi' -the golden ratio-: 1.618033... -100.000 digits, base 10- into 341254... -128.508 digits, -base 6-
37-47 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
38-46 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
39-46 reference(s)		Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
40-45 reference(s)
Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
41-45 reference(s)		Fractal synthesis of mountains with vegetation and stormy clouds
42-44 reference(s)		The Scream -a Tribute to Edvard Munch-
43-43 reference(s)		Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
44-43 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
45-43 reference(s)		From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
46-42 reference(s)		A quaternionic Julia set -tridimensional cross-section-
47-42 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
48-40 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
49-40 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
50-39 reference(s)		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 1/Z conformal transformation in the complex plane -tridimensional cross-section-
51-37 reference(s)		The Lorenz attractor
52-37 reference(s)
Jean-François COLONNA (on 11/17/1994)with its fractal mountains
53-37 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
54-37 reference(s)		A fractal-fractal tree
55-36 reference(s)		The 64 first lines of the Pascal's Triangle
56-35 reference(s)
Autostereogram with an hidden volcano
57-35 reference(s)		Mystery mountain at sunrise
58-35 reference(s)		4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
59-34 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
60-33 reference(s)
Autostereogram with an hidden ring and ghost bows
61-33 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
62-33 reference(s)		Autostereogram with an hidden volcano
63-32 reference(s)		Electron-positron scattering
64-32 reference(s)
Artistic view of the Big Bang
65-31 reference(s)		A 'fractal plane' with overhangings defined by means of three bidimensional fields
66-31 reference(s)		Artistic variation on the generalized Ulam spiral displaying 81 numbers
67-31 reference(s)		Tridimensional fractal structure
68-31 reference(s)
Tridimensional fractal structure -the space-time foam?-
69-31 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
70-31 reference(s)		Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
71-31 reference(s)		An aperiodic Penrose tiling of the plane
72-30 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
73-30 reference(s)		Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
74-30 reference(s)		Close-up on a foggy 'MandelBox' -tridimensional cross-section-
75-30 reference(s)		A 'spiraling plane' defined by means of three bidimensional fields
76-29 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
77-29 reference(s)		The Bonan-Jeener-Klein triple bottle
78-29 reference(s)		The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
79-28 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
80-28 reference(s)
A fractal pyramidal Menger Sponge computed by means of an 'Iterated Function System' -IFS-
81-28 reference(s)		From the infinitely small to the infinitely big
82-28 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
83-27 reference(s)		A punched paper tape
84-27 reference(s)
N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation, our Earth being at the origin of the coordinates
85-27 reference(s)		The Menger Sponge -iteration 4-
86-27 reference(s)		The bidimensional Ising Model after 1000 iterations, with 2-state spins, random initial conditions and for a temperature equal to the critical temperature
87-27 reference(s)		An amazing cross-section inside the complement of the Menger Sponge -iteration 2-
88-26 reference(s)
Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
89-26 reference(s)		Autostereogram with an hidden ring and ghost bows
90-25 reference(s)		The Sierpinski Carpet -iteration 5-
91-25 reference(s)		The complement of the Menger Sponge -iteration 2-
92-25 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
93-25 reference(s)		Autostereogram -using periodical light clouds as desguise texture- with a hidden gaussian mountain
94-25 reference(s)		Sixteen interlaced fractal torus
95-25 reference(s)		Generation of the 63x63 first Conway's surreal complex numbers
96-24 reference(s)
Synthesis of bidimensional geometrical textures
97-24 reference(s)		The Klein bottle
98-24 reference(s)		The Möbius strip
99-24 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-'the children round' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
100-24 reference(s)
A foggy pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0) -tridimensional cross-section-
101-24 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
102-24 reference(s)		A set of 4x3 stereograms of a fractal sphere
103-24 reference(s)		Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold that can also be viewed as a set of 4x3 stereograms
104-24 reference(s)
Three successive elementary monodimensional binary cellular automata -106,90,86- with random yellow starting points -on the bottom line-
105-24 reference(s)		Along the border of the Mandelbrot set
106-23 reference(s)		The generalized Ulam spiral displaying 100 numbers
107-23 reference(s)		An hexagonal tiling of the hyperbolic Poincaré disk -iteration 5-
108-23 reference(s)
Botticelli anomaly on the Moon
109-23 reference(s)		Quark and gluon structure of a nucleon
110-23 reference(s)		From Pluto to the Sun (non linear scales)
111-23 reference(s)		Erosion of a bidimensional random medium
112-23 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold that can also be viewed as a set of 4x3 stereograms
113-23 reference(s)		Rotation about the Y (vertical)axis of a tridimensional fractal aggregate that can also be viewed as a set of 4x3 pseudo-stereograms
114-22 reference(s)		Pseudo Olympic Rings
115-22 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
116-22 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
117-22 reference(s)		The Birth of the Universe
118-22 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
119-22 reference(s)		Untitled 0213
120-22 reference(s)
A fractal hypercube
121-22 reference(s)		A fractal polyhedron
122-22 reference(s)		Isle of the Dead -a Tribute to Arnold Böcklin-
123-22 reference(s)		A fractal Möbius strip
124-22 reference(s)
A set of 4x3 stereograms of a fractal Möbius strip
125-22 reference(s)		The Universe at the heart of a Calabi-Yau manifold
126-21 reference(s)		A bidimensional field
127-21 reference(s)		Fractal natural form
128-21 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
463 reference(s)		2-AQuoiServentLesMathematiques.01
378 reference(s)
3-An2000.01.Fra
362 reference(s)		4-help.
361 reference(s)
5-Galerie_Tributes.FV
302 reference(s)		6-Fractal.01
299 reference(s)
7-FloatingPointNumbers.01.Fra
274 reference(s)		8-AVirtualSpaceTimeTravelMachine.Ang
270 reference(s)
9-Stereogrammes_AutoStereogrammes.01
263 reference(s)		10-FaireDeLaRecherche.01.vv
224 reference(s)
11-Galerie_ArtAndScience.FV
222 reference(s)		12-Galerie_NumberTheory.FV
219 reference(s)
13-RealNumbers.01.Fra
217 reference(s)		14-Galerie_NewPictures.FV
216 reference(s)
15-mail.01.vv
215 reference(s)		16-Galerie_DeterministicFractalGeometry.FV
213 reference(s)
17-DuModeleALImage.02.Fra
211 reference(s)		18-aquoiserventlesmathematiques.01
209 reference(s)
19-Galerie_GeneralitiesVisualization.FV
204 reference(s)		20-GenieLogiciel_VisualisationScientifique.01.vv
201 reference(s)
21-UlamSpiral.01.Fra
200 reference(s)		22-AVirtualSpaceTimeTravelMachine.Fra
197 reference(s)
23-MathematiquesPhysiqueFractales.02
194 reference(s)		24-Galerie_QuantumMechanics.FV
190 reference(s)
25-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
187 reference(s)		26-Kepler.02.
181 reference(s)
27-Galerie_ArtisticCreation.FV
181 reference(s)		28-AProposSite.01.Fra
181 reference(s)
29-FloatingPointNumbers.01.Ang
180 reference(s)		30-Galerie_Astrophysics.FV
177 reference(s)
31-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
176 reference(s)		32-copyright.01.
173 reference(s)
33-SurfaceProjector.01.Fra
173 reference(s)		34-ImagesDuVirtuel.01.Fra.FV
173 reference(s)
35-GoldenTriangle.01.Fra
172 reference(s)		36-SurfaceProjector.01.Ang
171 reference(s)
37-ExpV_VirE.11
171 reference(s)		38-EntrelacsIntertwinings.01.Ang
171 reference(s)
39-fractal.01
170 reference(s)		40-MorePages.
170 reference(s)
41-DieuScience.01.Fra
168 reference(s)		42-catalogue.11
165 reference(s)
43-Autostereograms.01.
165 reference(s)		44-NDimensionalDeterministicFractalSets.01.Ang
164 reference(s)
45-Galerie_CelestialMechanics.FV
164 reference(s)		46-AnimFractal.01.
164 reference(s)
47-Galerie_DeterministicChaos.FV
163 reference(s)		48-Galerie_TextureSynthesis.FV
162 reference(s)
49-NatureDesMathematiques.01.vv.Fra
158 reference(s)		50-UlamSpiral.01.Ang
157 reference(s)
51-MathematiquesPhysiqueFractales.22
157 reference(s)		52-NDimensionalDeterministicFractalSets.01.Fra
155 reference(s)
53-Galerie_SignalProcessing.FV
155 reference(s)		54-Galerie_BestOf.FV
155 reference(s)
55-Fractal.11
155 reference(s)		56-Galerie_ParticleSystems.FV
154 reference(s)
57-EntrelacsIntertwinings.01.Fra
153 reference(s)		58-ImpossibleStructures.01.Fra
152 reference(s)
59-Informations_AboutPicturesAnimationsAndFiles.01.Ang
150 reference(s)		60-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
149 reference(s)
61-LOG_xiMc.11
149 reference(s)		62-Fractal.03
149 reference(s)
63-OrdinateursEtCalculs.01.Fra
147 reference(s)		64-GenieLogiciel.01.Fra
147 reference(s)
65-RemarquesCerveau.01
145 reference(s)		66-MonodimensionalCellularAutomata.01.Ang
145 reference(s)
67-OrdinateursEtCalculs.01.Ang
144 reference(s)		68-NombresEtLumiere.01.vv.Fra
144 reference(s)
69-GoldenTriangle.01.Ang
144 reference(s)		70-demo
143 reference(s)
71-infinity.02.vv
142 reference(s)		72-VisitesGaleriesEnfouies.01.Fra
142 reference(s)
73-IllusionConnaissance.02
142 reference(s)		74-AvantPropos.01.Fra
142 reference(s)
75-realnumbers
141 reference(s)		76-infinity.01.vv
141 reference(s)
77-demo.14
141 reference(s)		78-ExpV_VirE.21
141 reference(s)
79-nombresreels
140 reference(s)		80-logiciel
140 reference(s)
81-genielogiciel
140 reference(s)		82-demo14
140 reference(s)
83-create.03.
140 reference(s)		84-an2000
140 reference(s)
85-EnsembleDesGaleries.DIAPO.0001
140 reference(s)		86-OrdinateurMathematiquesArt.01.Fra
139 reference(s)
87-EnsembleDesGaleriesFractales.DIAPO.0001
139 reference(s)		88-Galerie_SensitivityToRoundingOffErrors.FV
137 reference(s)
89-ExpV_VirE.Ang
137 reference(s)		90-MathematiquesEtCinematographe.01.vv
135 reference(s)
91-ManyChaos.01.Fra
135 reference(s)		92-subject.01.
134 reference(s)
93-MathematiquesEtRepresentations.01.vv.Ang
134 reference(s)		94-Galerie_ImagesDesMathematiques.FV
134 reference(s)
95-MonodimensionalCellularAutomata.01.Fra
133 reference(s)		96-LesApprentisDieux.01
133 reference(s)
97-ImpossibleStructures.01.Ang
133 reference(s)		98-VisitesGaleriesEnfouies.01.Ang
132 reference(s)
99-PerteDeLAssociativite.01
131 reference(s)		100-PatrimoineHumanite.02.Fra
131 reference(s)
101-Fractal.02
131 reference(s)		102-VirtualChaos.01.Ang
130 reference(s)
103-MathematiquesModeleOutilArtiste.02.Ang
129 reference(s)		104-Galerie_FluidMechanics.FV
129 reference(s)
105-QuelquesQuestionsSurLaRecherche.01.Fra
126 reference(s)		106-fairedelarecherche.01.vv
125 reference(s)
107-ArtEtMathematiques.01
125 reference(s)		108-Spheres.01
124 reference(s)
109-Informations_GoodNewsAndBadNews.01.Fra
124 reference(s)		110-ManyChaos.01.Ang
123 reference(s)
111-AvantPropos.01.Ang
123 reference(s)		112-HommageBenoitMandelbrot.21
122 reference(s)
113-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
122 reference(s)		114-Informations_AboutPicturesAnimationsAndFiles.01.Fra
121 reference(s)
115-VirtualChaos.01.Fra
120 reference(s)		116-present.01.
119 reference(s)
117-Galerie_TextureSynthesis.DIAPO.0001
118 reference(s)		118-ExpV_VirE.Fra
118 reference(s)
119-PerteDeLAssociativite.01.ADD3
116 reference(s)		120-ExpV_VirE.01.Ang
115 reference(s)
121-ArtScience.11.Fra
115 reference(s)		122-Vcatalogue.11
114 reference(s)
123-Commentaires_NKleinBottle.01
114 reference(s)		124-MathematiquesPhysiqueFractales.01
112 reference(s)
125-ImagesDuVirtuel.01.Fra
112 reference(s)		126-Galeries.01.vv
112 reference(s)
127-ExpV_VirE.01.Fra
112 reference(s)		128-Commentaires_ProblemeDesNCorps.01
112 reference(s)

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




Copyright © Jean-François COLONNA, 2014-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2014-2024.