Monthly Best Of on 08/28/2015




Tridimensional fractal structure

Jean-François COLONNA
www.lactamme.polytechnique.fr
jean-francois.colonna@polytechnique.edu
CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, Ecole Polytechnique, CNRS, 91128 Palaiseau Cedex, France

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Contents of this page:


1-The 128 most referenced Pictures:



Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
1-611 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-454 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
3-363 reference(s)
The random walk of photons escaping the Sun
4-312 reference(s)
Hypercube
5-310 reference(s)
Bidimensional Hilbert Curve -iteration 4-
6-252 reference(s)
Tridimensional Hilbert Curve -iteration 3-
7-242 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
8-239 reference(s)
The random walk of photons escaping the Sun
9-217 reference(s)
Happy new year 2000
10-213 reference(s)
The Jeener's triple Klein bottle
11-185 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
12-184 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
13-160 reference(s)
Sixteen interlaced torus
14-157 reference(s)
Autostereogram with an hidden volcano
15-155 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
16-135 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
17-131 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
18-110 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
19-107 reference(s)
Autostereogram with an hidden volcano
20-106 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
21-106 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
22-101 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
23-96 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
24-88 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
25-86 reference(s)
The Bonan-Jeener's triple Klein bottle
26-85 reference(s)
Quantum vacuum fluctuations
27-84 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
28-81 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
29-81 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
30-80 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
31-78 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
32-75 reference(s)
Artistic view of the prime numbers
33-73 reference(s)
The random walk of photons escaping the Sun
34-69 reference(s)
Quark and gluon structure of a nucleon
35-66 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
36-57 reference(s)
The bidimensional John Conway's life game
37-53 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
38-53 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
39-52 reference(s)
Sixteen interlaced fractal torus
40-52 reference(s)
Autostereogram with an hidden volcano
41-51 reference(s)
The generalized Ulam spiral
42-50 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
43-50 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
44-49 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
45-49 reference(s)
From Mars to the Sun
46-48 reference(s)
Tridimensional texture animation by means of the Generalized Product
47-47 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-
48-47 reference(s)
Autostereogram with an hidden volcano
49-46 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
50-46 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
51-46 reference(s)
Tridimensional zoom in on the Mandelbrot set
52-46 reference(s)
True colors autostereogram of a fractal landscape
53-45 reference(s)
The Möbius strip
54-45 reference(s)
Bidimensional geometrical texture animation
55-44 reference(s)
From the infinitely small to the infinitely big
56-44 reference(s)
Autostereogram with an hidden ring and ghost bows
57-43 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
58-43 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
59-43 reference(s)
Fractal natural form
60-43 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
61-43 reference(s)
Bidimensional texture animation by means of the Generalized Product
62-43 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
63-42 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
64-42 reference(s)
A pseudo-periodical Penrose tiling of the plane
65-41 reference(s)
Fractal natural form
66-41 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
67-40 reference(s)
The Scream -a Tribute to Edvard Munch-
68-40 reference(s)
Autostereogram with an hidden volcano
69-39 reference(s)
Paradoxal Monument Valley at sunset
70-39 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
71-39 reference(s)
Ile de Science -a tribute to Pierre Vasseur-
72-38 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
73-37 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
74-37 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
75-37 reference(s)
Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
76-37 reference(s)
Autostereogram of Monument Valley
77-36 reference(s)
A fractal hypercube
78-36 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)
79-35 reference(s)
Pseudo Olympic Rings
80-33 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
81-32 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
82-32 reference(s)
A quaternionic Julia set -tridimensional cross-section-
83-31 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+20.0)x(-15.0,+15.0) (bird's-eye view)
84-29 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
85-29 reference(s)
Tridimensional display of the Riemann Zeta function inside (+0.1,+0.9)x(0,+50)
86-28 reference(s)
Generation of the 63x63 first Conway's surreal complex numbers
87-28 reference(s)
From Pluto to the Sun (non linear scales)
88-28 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
89-28 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
90-28 reference(s)
Artistic view of the Big Bang
91-27 reference(s)
A pseudo-periodical Penrose tiling of the plane
92-27 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
93-27 reference(s)
An Archimedes spiral displaying 50000 numbers
94-26 reference(s)
Tridimensional fractal structure -the space-time foam?-
95-26 reference(s)
Heterogeneous -tridimensional fractal field- random meshing of a cube
96-26 reference(s)
The Jeener's triple Klein bottle
97-26 reference(s)
Quark and gluon dynamics of the nucleon
98-25 reference(s)
Quark and gluon structure of a nucleon
99-25 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
100-25 reference(s)
Monument Valley à la David Hockney
101-24 reference(s)
Monument Valley à la David Hockney
102-24 reference(s)
The Lorenz attractor
103-24 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
104-24 reference(s)
Quantum vacuum fluctuations
105-23 reference(s)
Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
106-23 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
107-23 reference(s)
A tribute to Sandro Botticelli
108-23 reference(s)
A pseudo-periodical Penrose tiling of the plane
109-22 reference(s)
Recursive intertwining
110-22 reference(s)
Botticelli anomaly on the Moon
111-22 reference(s)
Tridimensional visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
112-22 reference(s)
The Klein bottle
113-22 reference(s)
Artistic view of the Schaeffer bijection
114-21 reference(s)
A 'crumpled' cylinder defined by means of three bidimensional fields
115-21 reference(s)
A set of 4x3 stereograms of a fractal hypercube
116-21 reference(s)
Fractal 7-foil torus knot
117-21 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
118-21 reference(s)
Causal set obtained by means of an homogeneous random meshing of a cube
119-21 reference(s)
A tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
120-20 reference(s)
Bidimensional zoom in on the Mandelbrot set
121-20 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold -a Tribute to José Hernández-
122-20 reference(s)
Electron-neutrino scattering
123-20 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0) (bird's-eye view)
124-19 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
125-19 reference(s)
The Boy surface
126-19 reference(s)
The normal field of a fractal surface defined by means of three bidimensional fields
127-19 reference(s)
The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
128-19 reference(s)




2-The 128 most referenced Pages:



1-demo_14
744 reference(s)
2-An2000.01.Fra
434 reference(s)
3-Vcatalogue.11
424 reference(s)
4-GenieLogiciel_VisualisationScientifique.01.vv
378 reference(s)
5-AVirtualSpaceTimeTravelMachine.Ang
357 reference(s)
6-help.
344 reference(s)
7-Galerie_Tributes.FV
326 reference(s)
8-FloatingPointNumbers.01.Fra
321 reference(s)
9-Stereogrammes_AutoStereogrammes.01
313 reference(s)
10-RealNumbers.01.Fra
291 reference(s)
11-Galerie_DeterministicFractalGeometry.FV
276 reference(s)
12-Fractal.01
268 reference(s)
13-copyright.01.
264 reference(s)
14-MathematiquesPhysiqueFractales.02
262 reference(s)
15-Galerie_NumberTheory.FV
262 reference(s)
16-FaireDeLaRecherche.01.vv
254 reference(s)
17-MonodimensionalCellularAutomata.01.Ang
253 reference(s)
18-AVirtualSpaceTimeTravelMachine.Fra
253 reference(s)
19-MorePages.
247 reference(s)
20-NDimensionalDeterministicFractalSets.01.Fra
240 reference(s)
21-Galerie_ArtAndScience.FV
240 reference(s)
22-AProposSite.01.Fra
240 reference(s)
23-mail.01.vv
238 reference(s)
24-Galerie_GeneralitiesVisualization.FV
238 reference(s)
25-UlamSpiral.01.Fra
235 reference(s)
26-Galerie_QuantumMechanics.FV
234 reference(s)
27-SurfaceProjector.01.Ang
233 reference(s)
28-Galerie_NewPictures.FV
233 reference(s)
29-NDimensionalDeterministicFractalSets.01.Ang
231 reference(s)
30-GenieLogiciel.01.Fra
231 reference(s)
31-ExpV_VirE.11
231 reference(s)
32-MonodimensionalCellularAutomata.01.Fra
230 reference(s)
33-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
227 reference(s)
34-subject.01.
226 reference(s)
35-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
225 reference(s)
36-Galerie_SignalProcessing.FV
222 reference(s)
37-ImagesDuVirtuel.01.Fra.FV
219 reference(s)
38-MathematiquesPhysiqueFractales.22
218 reference(s)
39-GoldenTriangle.01.Fra
218 reference(s)
40-FloatingPointNumbers.01.Ang
217 reference(s)
41-infinity.01.vv
216 reference(s)
42-Galerie_CelestialMechanics.FV
216 reference(s)
43-catalogue.11
215 reference(s)
44-SurfaceProjector.01.Fra
215 reference(s)
45-NombresEtLumiere.01.vv.Fra
215 reference(s)
46-Galerie_DeterministicChaos.FV
215 reference(s)
47-DieuScience.01.Fra
215 reference(s)
48-RemarquesCerveau.01
213 reference(s)
49-LesApprentisDieux.01
213 reference(s)
50-OrdinateurMathematiquesArt.01.Fra
212 reference(s)
51-Galerie_ArtisticCreation.FV
212 reference(s)
52-Fractal.11
212 reference(s)
53-infinity.02.vv
211 reference(s)
54-EntrelacsIntertwinings.01.Ang
211 reference(s)
55-VisitesGaleriesEnfouies.01.Fra
209 reference(s)
56-UlamSpiral.01.Ang
209 reference(s)
57-OrdinateursEtCalculs.01.Fra
209 reference(s)
58-OrdinateursEtCalculs.01.Ang
209 reference(s)
59-LOG_xiMc.11
209 reference(s)
60-Autostereograms.01.
209 reference(s)
61-Galerie_ParticleSystems.FV
208 reference(s)
62-AnimFractal.01.
207 reference(s)
63-PerteDeLAssociativite.01
206 reference(s)
64-Galerie_TextureSynthesis.FV
206 reference(s)
65-Informations_GoodNewsAndBadNews.01.Fra
205 reference(s)
66-Galerie_Astrophysics.FV
205 reference(s)
67-VirtualChaos.01.Fra
204 reference(s)
68-Kepler.02.
204 reference(s)
69-Galerie_BestOf.FV
204 reference(s)
70-ImpossibleStructures.01.Ang
202 reference(s)
71-GoldenTriangle.01.Ang
202 reference(s)
72-Fractal.02
202 reference(s)
73-IllusionConnaissance.02
201 reference(s)
74-EntrelacsIntertwinings.01.Fra
201 reference(s)
75-VirtualChaos.01.Ang
199 reference(s)
76-ImpossibleStructures.01.Fra
199 reference(s)
77-Fractal.03
199 reference(s)
78-EnsembleDesGaleriesFractales.DIAPO.0001
199 reference(s)
79-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
198 reference(s)
80-VisitesGaleriesEnfouies.01.Ang
197 reference(s)
81-MathematiquesModeleOutilArtiste.02.Ang
197 reference(s)
82-Galerie_SensitivityToRoundingOffErrors.FV
195 reference(s)
83-ExpV_VirE.Ang
195 reference(s)
84-QuelquesQuestionsSurLaRecherche.01.Fra
194 reference(s)
85-ManyChaos.01.Ang
194 reference(s)
86-PatrimoineHumanite.02.Fra
193 reference(s)
87-Galerie_FluidMechanics.FV
193 reference(s)
88-DuModeleALImage.02.Fra
193 reference(s)
89-AvantPropos.01.Ang
193 reference(s)
90-NatureDesMathematiques.01.vv.Fra
192 reference(s)
91-AQuoiServentLesMathematiques.01
192 reference(s)
92-create.03.
191 reference(s)
93-MathematiquesEtCinematographe.01.vv
191 reference(s)
94-EnsembleDesGaleries.DIAPO.0001
191 reference(s)
95-ManyChaos.01.Fra
190 reference(s)
96-Spheres.01
189 reference(s)
97-MathematiquesEtRepresentations.01.vv.Ang
189 reference(s)
98-AvantPropos.01.Fra
184 reference(s)
99-ExpV_VirE.21
171 reference(s)
100-an2000
168 reference(s)
101-present.01.
167 reference(s)
102-realnumbers
166 reference(s)
103-Informations_AboutPicturesAnimationsAndFiles.01.Ang
166 reference(s)
104-demo14
164 reference(s)
105-demo
164 reference(s)
106-logiciel
163 reference(s)
107-demo.14
163 reference(s)
108-nombresreels
162 reference(s)
109-genielogiciel
162 reference(s)
110-Galerie_ImagesDesMathematiques.FV
154 reference(s)
111-Commentaires_NKleinBottle.01
154 reference(s)
112-ImagesDuVirtuel.01.Fra
152 reference(s)
113-xtc_____HexagonesPremiers.01.vv.c.
149 reference(s)
114-NombresEtLumiere.02.vv.Ang
149 reference(s)
115-Informations_AboutPicturesAnimationsAndFiles.01.Fra
148 reference(s)
116-Galerie_NumbersAndLight.FV
148 reference(s)
117-ExpV_VirE.Fra
148 reference(s)
118-ExpV_VirE.01.Fra
148 reference(s)
119-ArtOrdinateur.01
147 reference(s)
120-MOSA.JFC.F1.F2.20031207
146 reference(s)
121-ArtScience.11.Fra
146 reference(s)
122-ArtEtMathematiques.01
146 reference(s)
123-PerteDeLAssociativite.01.ADD3
145 reference(s)
124-PerteDeLAssociativite.01.MUL3
144 reference(s)
125-MathematiquesPhysiqueFractales.01
144 reference(s)
126-ArtScience.11.Ang
143 reference(s)
127-AQuoiServentLesMathematiques.03
143 reference(s)
128-VisSci_SciVis.01
142 reference(s)

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Copyright (c) Jean-François Colonna, 2015-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2015-2018.