Monthly Best Of on 04/28/2015




Random intertwining

Jean-François COLONNA
[Contact me]

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 04/28/2015 and last updated on 11/14/2023 17:48:44 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
1-845 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
2-541 reference(s)		 Bidimensional Hilbert Curve -iteration 4-
3-465 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-424 reference(s)
Quantum vacuum fluctuations
5-388 reference(s)		 The random walk of photons escaping the Sun
6-359 reference(s)		 Tridimensional Hilbert Curve -iteration 3-
7-345 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
8-295 reference(s)
The random walk of photons escaping the Sun
9-232 reference(s)		 Happy new year 2000
10-214 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
11-214 reference(s)		 Autostereogram with an hidden volcano
12-207 reference(s)
Autostereogram with an hidden volcano
13-189 reference(s)		 Hypercube
14-189 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
15-176 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
16-143 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
17-142 reference(s)		 A Peano 'fractal plane' defined by means of three bidimensional fields
18-138 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
19-134 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
20-129 reference(s)
Sixteen interlaced torus
21-128 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
22-126 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
23-106 reference(s)		 Quark and gluon structure of a nucleon
24-106 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
25-105 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
26-103 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
27-101 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
28-99 reference(s)
An aperiodic Penrose tiling of the Golden Decagon
29-94 reference(s)		 The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
30-82 reference(s)		 Artistic view of the prime numbers
31-80 reference(s)		 Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
32-80 reference(s)
The Jeener-Klein triple bottle
33-79 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
34-77 reference(s)		 Sixteen interlaced fractal torus
35-67 reference(s)		 An aperiodic Penrose tiling of the plane
36-64 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
37-62 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
38-61 reference(s)		 The random walk of photons escaping the Sun
39-60 reference(s)		 True colors autostereogram of a fractal landscape
40-60 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
41-58 reference(s)		 A fractal hypercube
42-58 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
43-57 reference(s)		 Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
44-56 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
45-56 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
46-55 reference(s)		 Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
47-53 reference(s)		 Autostereogram with an hidden volcano
48-52 reference(s)
Quark and gluon dynamics of the nucleon
49-52 reference(s)		 An Archimedes spiral displaying 10000 numbers
50-51 reference(s)		 The Bonan-Jeener-Klein triple bottle
51-50 reference(s)		 Autostereogram with an hidden volcano
52-48 reference(s)
Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
53-48 reference(s)		 From Mars to the Sun
54-48 reference(s)		 Fractal natural form
55-47 reference(s)		 The bidimensional John Conway's life game
56-47 reference(s)
Fractal natural form
57-46 reference(s)		 Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
58-46 reference(s)		 The generalized Ulam spiral
59-46 reference(s)		 The Scream -a Tribute to Edvard Munch-
60-45 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
61-45 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
62-44 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
63-44 reference(s)		 Tridimensional texture animation by means of the Generalized Product
64-44 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
65-43 reference(s)		 Tridimensional zoom in on the Mandelbrot set
66-43 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
67-43 reference(s)		 An aperiodic Penrose tiling of the plane
68-42 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
69-42 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
70-41 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)
71-41 reference(s)		 The Möbius strip
72-41 reference(s)
A quaternionic Julia set -tridimensional cross-section-
73-41 reference(s)		 Fractal 7-foil torus knot
74-41 reference(s)		 Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
75-40 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-
76-40 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
77-40 reference(s)		 Quantum vacuum fluctuation dynamics
78-39 reference(s)		 Bidimensional geometrical texture animation
79-39 reference(s)		 Autostereogram with an hidden ring and ghost bows
80-39 reference(s)
The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
81-39 reference(s)		 Autostereogram of Monument Valley
82-39 reference(s)		 A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
83-38 reference(s)		 Bidimensional texture animation by means of the Generalized Product
84-38 reference(s)
An amazing cross-section inside the Menger sponge -iteration 5- with a tridimensional non linear transformation
85-38 reference(s)		 Untitled 0231 -a Tribute to Philippe Druillet-
86-38 reference(s)		 Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
87-37 reference(s)		 Artistic view of the Big Bang
88-34 reference(s)
The Lorenz attractor
89-33 reference(s)		 Tridimensional fractal structure -the space-time foam?-
90-33 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
91-33 reference(s)		 Autostereogram with an hidden volcano
92-32 reference(s)
A pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) and with a locally variable exponent that is equal to 4, 5 or 6 and with a rotation about the X axis -tridimensional cross-section-
93-31 reference(s)		 An Archimedes spiral displaying 5000 numbers
94-30 reference(s)		 The generalized Ulam spiral displaying 2025 numbers
95-30 reference(s)		 The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
96-30 reference(s)
A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) and with a rotation about the X axis and with a (4xO+1)/(1xO-1) conformal transformation in the pseudo-octonionic space-tridimensional cross-section-
97-30 reference(s)		 The Eratosthene sieve displaying the integer numbers from 1 to 128
98-30 reference(s)		 From the infinitely small to the infinitely big
99-30 reference(s)		 Chessboard
100-29 reference(s)
Quark and gluon structure of a nucleon
101-29 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
102-28 reference(s)		 Monument Valley à la David Hockney
103-28 reference(s)		 The generalized Ulam spiral displaying 100 numbers
104-27 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
105-27 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
106-27 reference(s)		 An aperiodic Penrose tiling of the plane
107-26 reference(s)		 The terraforming of the Moon
108-26 reference(s)
Botticelli anomaly on the Moon
109-26 reference(s)		 The actual Solar System viewed during 243 years from a green virtual planet -this last one approximately belongs to the plane of Pluto and its distance from the Sun equals the one of Pluto-
110-26 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
111-26 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
112-26 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
113-25 reference(s)		 From Pluto to the Sun (non linear scales)
114-25 reference(s)		 Close-up on a foggy 'MandelBox' -tridimensional cross-section-
115-25 reference(s)		 The eroded Menger sponge -iteration 3-
116-25 reference(s)
The Sierpinski carpet -iteration 1 to 5-
117-24 reference(s)		 A pay slip
118-24 reference(s)		 The Menger sponge -iteration 5- with a tridimensional non linear transformation
119-24 reference(s)		 The Birth of the Universe
120-24 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
121-24 reference(s)		 The Jeener-Klein triple bottle
122-24 reference(s)		 Pseudo Olympic Rings
123-23 reference(s)		 An amazing cross-section inside the Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
124-23 reference(s)
The 64 first lines of the Pascal's Triangle
125-22 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
126-22 reference(s)		 Untitled 0229
127-22 reference(s)		 Recursive intertwining
128-22 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
622 reference(s)		 2-An2000.01.Fra
411 reference(s)
3-help.
372 reference(s)		 4-Fractal.01
357 reference(s)
5-Galerie_Tributes.FV
347 reference(s)		 6-AVirtualSpaceTimeTravelMachine.Ang
335 reference(s)
7-FloatingPointNumbers.01.Fra
334 reference(s)		 8-Stereogrammes_AutoStereogrammes.01
324 reference(s)
9-GenieLogiciel_VisualisationScientifique.01.vv
322 reference(s)		 10-RealNumbers.01.Fra
288 reference(s)
11-FaireDeLaRecherche.01.vv
286 reference(s)		 12-Galerie_NumberTheory.FV
274 reference(s)
13-mail.01.vv
265 reference(s)		 14-UlamSpiral.01.Fra
263 reference(s)
15-AVirtualSpaceTimeTravelMachine.Fra
262 reference(s)		 16-Galerie_DeterministicFractalGeometry.FV
261 reference(s)
17-Galerie_NewPictures.FV
253 reference(s)		 18-MathematiquesPhysiqueFractales.02
251 reference(s)
19-copyright.01.
249 reference(s)		 20-MorePages.
249 reference(s)
21-Galerie_GeneralitiesVisualization.FV
246 reference(s)		 22-Galerie_ArtisticCreation.FV
245 reference(s)
23-GoldenTriangle.01.Fra
236 reference(s)		 24-Informations_GoodNewsAndBadNews.01.Fra
230 reference(s)
25-Galerie_Astrophysics.FV
228 reference(s)		 26-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
227 reference(s)
27-AProposSite.01.Fra
227 reference(s)		 28-SurfaceProjector.01.Ang
224 reference(s)
29-Kepler.02.
224 reference(s)		 30-NDimensionalDeterministicFractalSets.01.Ang
223 reference(s)
31-ImagesDuVirtuel.01.Fra.FV
221 reference(s)		 32-SurfaceProjector.01.Fra
219 reference(s)
33-Galerie_SignalProcessing.FV
219 reference(s)		 34-infinity.02.vv
218 reference(s)
35-NDimensionalDeterministicFractalSets.01.Fra
218 reference(s)		 36-Galerie_ArtAndScience.FV
218 reference(s)
37-ExpV_VirE.11
218 reference(s)		 38-MathematiquesPhysiqueFractales.22
215 reference(s)
39-Galerie_CelestialMechanics.FV
214 reference(s)		 40-ImpossibleStructures.01.Ang
213 reference(s)
41-MonodimensionalCellularAutomata.01.Fra
212 reference(s)		 42-FloatingPointNumbers.01.Ang
212 reference(s)
43-MathematiquesModeleOutilArtiste.02.Ang
210 reference(s)		 44-Fractal.11
209 reference(s)
45-AQuoiServentLesMathematiques.01
209 reference(s)		 46-Galerie_QuantumMechanics.FV
208 reference(s)
47-catalogue.11
206 reference(s)		 48-OrdinateursEtCalculs.01.Fra
206 reference(s)
49-Autostereograms.01.
205 reference(s)		 50-DieuScience.01.Fra
204 reference(s)
51-NatureDesMathematiques.01.vv.Fra
201 reference(s)		 52-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
201 reference(s)
53-IllusionConnaissance.02
197 reference(s)		 54-AnimFractal.01.
197 reference(s)
55-subject.01.
196 reference(s)		 56-QuelquesQuestionsSurLaRecherche.01.Fra
194 reference(s)
57-GenieLogiciel.01.Fra
194 reference(s)		 58-Galerie_TextureSynthesis.FV
194 reference(s)
59-fractal.01
193 reference(s)		 60-UlamSpiral.01.Ang
193 reference(s)
61-Galerie_BestOf.FV
193 reference(s)		 62-NombresEtLumiere.01.vv.Fra
192 reference(s)
63-Galerie_DeterministicChaos.FV
192 reference(s)		 64-EntrelacsIntertwinings.01.Fra
192 reference(s)
65-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
192 reference(s)		 66-infinity.01.vv
191 reference(s)
67-ImpossibleStructures.01.Fra
191 reference(s)		 68-Galerie_ParticleSystems.FV
191 reference(s)
69-Fractal.03
191 reference(s)		 70-RemarquesCerveau.01
190 reference(s)
71-MonodimensionalCellularAutomata.01.Ang
190 reference(s)		 72-OrdinateurMathematiquesArt.01.Fra
189 reference(s)
73-EntrelacsIntertwinings.01.Ang
188 reference(s)		 74-PerteDeLAssociativite.01
187 reference(s)
75-ManyChaos.01.Fra
187 reference(s)		 76-OrdinateursEtCalculs.01.Ang
185 reference(s)
77-Fractal.02
183 reference(s)		 78-DuModeleALImage.02.Fra
183 reference(s)
79-PatrimoineHumanite.02.Fra
182 reference(s)		 80-MathematiquesEtCinematographe.01.vv
182 reference(s)
81-LOG_xiMc.11
182 reference(s)		 82-GoldenTriangle.01.Ang
182 reference(s)
83-fairedelarecherche.01.vv
181 reference(s)		 84-ExpV_VirE.Ang
181 reference(s)
85-AvantPropos.01.Ang
181 reference(s)		 86-LesApprentisDieux.01
180 reference(s)
87-EnsembleDesGaleriesFractales.DIAPO.0001
180 reference(s)		 88-VirtualChaos.01.Fra
179 reference(s)
89-VirtualChaos.01.Ang
179 reference(s)		 90-EnsembleDesGaleries.DIAPO.0001
178 reference(s)
91-Galerie_FluidMechanics.FV
177 reference(s)		 92-AvantPropos.01.Fra
177 reference(s)
93-Galerie_SensitivityToRoundingOffErrors.FV
176 reference(s)		 94-MathematiquesEtRepresentations.01.vv.Ang
174 reference(s)
95-ManyChaos.01.Ang
174 reference(s)		 96-create.03.
170 reference(s)
97-VisitesGaleriesEnfouies.01.Fra
170 reference(s)		 98-Spheres.01
169 reference(s)
99-VisitesGaleriesEnfouies.01.Ang
168 reference(s)		 100-demo
164 reference(s)
101-Informations_AboutPicturesAnimationsAndFiles.01.Ang
164 reference(s)		 102-ExpV_VirE.21
162 reference(s)
103-Galerie_ImagesDesMathematiques.FV
161 reference(s)		 104-an2000
160 reference(s)
105-logiciel
158 reference(s)		 106-realnumbers
157 reference(s)
107-genielogiciel
157 reference(s)		 108-demo14
157 reference(s)
109-nombresreels
156 reference(s)		 110-Vcatalogue.11
151 reference(s)
111-Galerie_NumbersAndLight.FV
151 reference(s)		 112-demo.14
150 reference(s)
113-An2000.01.Ang
150 reference(s)		 114-MathematiquesPhysiqueFractales.01
138 reference(s)
115-present.01.
136 reference(s)		 116-HommageBenoitMandelbrot.21
135 reference(s)
117-ArtEtMathematiques.01
135 reference(s)		 118-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
131 reference(s)
119-ExpV_VirE.Fra
130 reference(s)		 120-An2000.04.Fra
130 reference(s)
121-An2000.03.Fra
130 reference(s)		 122-Informations_AboutPicturesAnimationsAndFiles.01.Fra
129 reference(s)
123-ExpV_VirE.01.Fra
129 reference(s)		 124-Commentaires_RacinesNIemesUniteComplexes.01
129 reference(s)
125-AQuoiServentLesMathematiques.03
129 reference(s)		 126-Galerie_NumberTheory
128 reference(s)
127-An2000.06.Fra
128 reference(s)		 128-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
127 reference(s)

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




Copyright © Jean-François COLONNA, 2015-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2015-2023.