Monthly Best Of on 09/11/2006




The 8 vertices of a 3-cube

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
france telecom, France Telecom R&D

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(CMAP28 WWW site: this page was created on 09/11/2006 and last updated on 06/30/2018 14:03:35 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Black dots (inside random white squares)on a square lattice
1-3760 reference(s)
The random walk of photons escaping the Sun
2-854 reference(s)
Psychedelic hypercube
3-796 reference(s)
Starship and black hole
4-663 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
5-442 reference(s)
Autostereogram with an hidden volcano
6-311 reference(s)
Synthesis of bidimensional geometrical textures
7-310 reference(s)
Welcome aboard A VIRTUAL SPACE-TIME TRAVEL MACHINE
8-298 reference(s)
La Génèse (1974)
9-279 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
10-243 reference(s)
Tridimensional heterogeneous fractal structure in a tridimensional torus
11-241 reference(s)
Quark and gluon structure of a nucleon
12-237 reference(s)
Artistic view of the prime numbers
13-237 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
14-217 reference(s)
The Lorenz attractor
15-215 reference(s)
Autostereogram with an hidden volcano
16-214 reference(s)
The Birth of the Universe
17-212 reference(s)
Along the border of the Mandelbrot set
18-203 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
19-198 reference(s)
Artistic view of the Big Bang
20-190 reference(s)
From Pluto to the Sun (non linear scales)
21-187 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
22-180 reference(s)
Rotation of a static tridimensional fractal structure
23-178 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
24-177 reference(s)
Quark and gluon dynamics of the nucleon
25-176 reference(s)
Tridimensional fractal structure
26-169 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
27-167 reference(s)
Paradoxal Monument Valley at sunset
28-167 reference(s)
Autostereogram with an hidden volcano and an animated disguise texture
29-163 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
30-162 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
31-155 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
32-155 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
33-155 reference(s)
The trajectories of bidimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to a vertical field of gravity
34-154 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
35-154 reference(s)
Dynamics of a bidimensional fractal structure
36-151 reference(s)
Jean-François Colonna
37-150 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
38-150 reference(s)
From the infinitely small to the infinitely big
39-144 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
40-144 reference(s)
Synthesis of tridimensional symmetrical geometrical textures
41-141 reference(s)
Animation of a sunrise on mountains
42-134 reference(s)
Alien
43-133 reference(s)
The random walk of photons escaping the Sun
44-132 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
45-132 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
46-132 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)
47-128 reference(s)
Autostereogram with an hidden volcano
48-127 reference(s)
The generalized Ulam spiral displaying 100 numbers
49-125 reference(s)
Mountains at sunrise
50-125 reference(s)
Botticelli anomaly on the Moon
51-122 reference(s)
Quantum vacuum fluctuations
52-115 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
53-115 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
54-114 reference(s)
Autostereogram with an hidden volcano
55-114 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
56-114 reference(s)
Quark and gluon structure of a nucleon
57-114 reference(s)
Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
58-111 reference(s)
Rotation about the X axis of the Lorenz attractor
59-111 reference(s)
The random walk of photons escaping the Sun
60-109 reference(s)
Artistic view of the trajectories of tridimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to a vertical field of gravity
61-109 reference(s)
2 identical grey squares moving over a grey scale
62-109 reference(s)
Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
63-109 reference(s)
Autostereogram with an hidden ring and ghost bows
64-107 reference(s)
Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
65-105 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
66-104 reference(s)
Tridimensional fractal structure
67-103 reference(s)
Autostereogram with an hidden volcano
68-96 reference(s)
The normal field of the Klein bottle
69-96 reference(s)
Along the border of the Mandelbrot set
70-95 reference(s)
Volcano
71-95 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
72-93 reference(s)
True colors autostereogram of a fractal landscape
73-93 reference(s)
A shell (Jeener surface 1)in motion
74-91 reference(s)
16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
75-90 reference(s)
Synthesis of bidimensional symmetrical geometrical textures
76-89 reference(s)
The bottom of the sea
77-89 reference(s)
Archimedes spirals
78-88 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
79-87 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
80-87 reference(s)
Cauliflowers, seaweeds, shells,... with fog
81-86 reference(s)
A shell (Jeener surface 1)in motion
82-86 reference(s)
Animation of a quaternionic Julia island
83-85 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
84-84 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
85-84 reference(s)
The Scream -a Tribute to Edvard Munch-
86-83 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
87-83 reference(s)
From Pluto to the Sun -extrapolation 2- (non linear scales)
88-82 reference(s)
Synthesis of bidimensional geometrical textures
89-81 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
90-80 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
91-80 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
92-79 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
93-79 reference(s)
Periodical earthquake with multifractal mountains
94-79 reference(s)
Electron diffraction
95-78 reference(s)
Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
96-77 reference(s)
The bidimensional field defining the three coordinates of a fractal surface
97-77 reference(s)
The generalized Ulam spiral displaying 1024 numbers
98-76 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
99-76 reference(s)
Double impossible staircase
100-76 reference(s)
The foggy Earth planet
101-76 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
102-75 reference(s)
No Title 0031
103-73 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
104-73 reference(s)
Psychedelic hypercube
105-73 reference(s)
Computation of the Lorenz attractor on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
106-72 reference(s)
Erosion in Monument Valley with fog
107-70 reference(s)
Hypercube
108-70 reference(s)
Snowy multifractal mountains
109-69 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
110-69 reference(s)
2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
111-68 reference(s)
The Eratosthene sieve displaying 100x100 numbers
112-67 reference(s)
From Pluto to the Sun -extrapolation 1- (non linear scales)
113-67 reference(s)
The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
114-67 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
115-67 reference(s)
Tridimensional fractal structure
116-67 reference(s)
Synthesis of tridimensional textures by means of a fractal process
117-67 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
118-66 reference(s)
Autostereogram of Monument Valley
119-66 reference(s)
Jean-François Colonna
120-66 reference(s)
Foggy seaboard
121-66 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
122-66 reference(s)
Vibrations 0001
123-65 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
124-65 reference(s)
An arbitrary surface (Jeener surface 2)
125-65 reference(s)
A quaternionic Julia set -tridimensional cross-section-
126-65 reference(s)
The non linear transformation of the coordinates in the Solar System
127-64 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)-sensitivity to initial conditions-
128-64 reference(s)




2-The 128 most referenced Pages:



1-demo_14
1587 reference(s)
2-Galerie_GeneralitiesVisualization.FV
1310 reference(s)
3-AVirtualSpaceTimeTravelMachine.Ang
830 reference(s)
4-An2000.01.Fra
679 reference(s)
5-Galerie_QuantumMechanics.FV
568 reference(s)
6-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
508 reference(s)
7-help.
470 reference(s)
8-Galerie_CelestialMechanics.FV
451 reference(s)
9-Galerie_ArtisticCreation.FV
420 reference(s)
10-ImagesDuVirtuel.01.Fra
395 reference(s)
11-Galerie_DeterministicFractalGeometry.FV
395 reference(s)
12-Autostereograms.01.
349 reference(s)
13-Galerie_ParticleSystems.FV
346 reference(s)
14-FloatingPointNumbers.01.Fra
337 reference(s)
15-Informations_AboutPicturesAnimationsAndFiles.01.Ang
326 reference(s)
16-mail.01.vv
294 reference(s)
17-Galerie_NumberTheory.FV
283 reference(s)
18-Galerie_ArtAndScience.FV
282 reference(s)
19-Galerie_TextureSynthesis.FV
281 reference(s)
20-Fractal.01
279 reference(s)
21-copyright.01.
274 reference(s)
22-FloatingPointNumbers.01.Ang
272 reference(s)
23-Stereogrammes_AutoStereogrammes.01
267 reference(s)
24-demo_14.FV
264 reference(s)
25-AVirtualSpaceTimeTravelMachine.Fra
263 reference(s)
26-AVirtualSpaceTimeTravelMachine.Fra.FV
259 reference(s)
27-ExpV_VirE.11
257 reference(s)
28-ImagesDuVirtuel.01.Fra.FV
252 reference(s)
29-Galerie_DeterministicChaos.FV
245 reference(s)
30-SurfaceProjector.01.Ang
243 reference(s)
31-GenieLogiciel.01.Fra
239 reference(s)
32-present.01.
234 reference(s)
33-AnimFractal.01.
228 reference(s)
34-AQuoiServentLesMathematiques.01
227 reference(s)
35-RealNumbers.01.Fra
214 reference(s)
36-AProposSite.01.Fra
211 reference(s)
37-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
207 reference(s)
38-Kepler.02.
197 reference(s)
39-ExpV_VirE.Fra
197 reference(s)
40-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
194 reference(s)
41-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0024
193 reference(s)
42-SurfaceProjector.01.Fra
191 reference(s)
43-ArtScience.11.Fra
191 reference(s)
44-Informations_AboutPicturesAnimationsAndFiles.01.Fra
183 reference(s)
45-LOG_xiMc.11
180 reference(s)
46-Galerie_NewPictures.FV
180 reference(s)
47-Galerie_SignalProcessing.FV
179 reference(s)
48-Galerie_AnthropomorphicPatterns.FV
172 reference(s)
49-RemarquesCerveau.01
169 reference(s)
50-DuModeleALImage.01.Fra
169 reference(s)
51-VirtualChaos.01.Fra
166 reference(s)
52-stereogra.01.c.
162 reference(s)
53-ExpV_VirE.01.Fra
162 reference(s)
54-Galerie_BestOf.FV
161 reference(s)
55-An2000.02.Fra
160 reference(s)
56-Commentaires_DefinitionQuaternions.01
157 reference(s)
57-Commentaires_SystemeSolaire.01
156 reference(s)
58-Galerie_CollaborativeWorks..FV
155 reference(s)
59-Galerie_Astrophysics.FV
155 reference(s)
60-Galerie_SalonDAutomne.FV
154 reference(s)
61-ExpV_VirE.21
154 reference(s)
62-catalogue.11
151 reference(s)
63-Galerie_FluidMechanics.FV
149 reference(s)
64-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
149 reference(s)
65-Informations_GoodNewsAndBadNews.01.Fra
148 reference(s)
66-Commentaires_NKleinBottle.01
147 reference(s)
67-Commentaires_DefinitionTransformeeDeFourier.01
147 reference(s)
68-ArtOrdinateur.01
147 reference(s)
69-Commentaires_JeenerMobuisManifold.01
146 reference(s)
70-Galerie_SensitivityToRoundingOffErrors.FV
144 reference(s)
71-DuReelAuVirtuel.01.Fra
144 reference(s)
72-hydrogene.61.K.
143 reference(s)
73-Vcatalogue.11
142 reference(s)
74-ExpV_VirE.01.Ang
142 reference(s)
75-AvantPropos.01.Ang
142 reference(s)
76-create.03.
141 reference(s)
77-Galerie_NewPictures
141 reference(s)
78-Commentaires_DefinitionComplexes.01
141 reference(s)
79-ArtScience.11.Ang.DIAPO.0023
140 reference(s)
80-An2000.05.Fra
140 reference(s)
81-VisitesGaleriesEnfouies.01.Ang
139 reference(s)
82-PatrimoineHumanite.02.Fra
139 reference(s)
83-EnsembleDesGaleries.DIAPO.0001
139 reference(s)
84-Commentaires_DoubleJeenerBottle.01
139 reference(s)
85-MonumentValley.01.Fra
138 reference(s)
86-MonumentValley.01.Ang
138 reference(s)
87-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
138 reference(s)
88-Commentaires_ProblemeDesNCorps.01
135 reference(s)
89-An2000.01.Ang
135 reference(s)
90-VisSci_SciVis.01
134 reference(s)
91-ScienceEtVirtuel.01.Fra
134 reference(s)
92-Commentaires_EspaceLyapunovComplexe.01
134 reference(s)
93-ManyChaos.01.Fra
132 reference(s)
94-AVirtualSpaceTimeTravelMachine.Ang.FV
132 reference(s)
95-Informations_GoodNewsAndBadNews.01.Ang
131 reference(s)
96-An2000.11.Fra
131 reference(s)
97-VisitesGaleriesEnfouies.01.Fra
130 reference(s)
98-Commentaires_KleinBottle.01
130 reference(s)
99-An2000.03.Fra
130 reference(s)
100-infinity.01.vv
129 reference(s)
101-PerteDeLAssociativite.01
129 reference(s)
102-Galeries.01.vv
129 reference(s)
103-Galerie_NewPictures.DIAPO.0001
129 reference(s)
104-Galerie_ArtisticCreation
128 reference(s)
105-PerteDeLAssociativite.01.MUL3
127 reference(s)
106-ImpossibleStructures.01.Ang
127 reference(s)
107-Galerie_GeneralitiesVisualization
125 reference(s)
108-ExpV_VirE.Ang
125 reference(s)
109-Commentaires_EnsembleMandelbrotComplexe.01
125 reference(s)
110-IllusionConnaissance.01
124 reference(s)
111-Galerie_QuantumMechanics.DIAPO.0001
124 reference(s)
112-Galerie_QuantumMechanics
124 reference(s)
113-Galerie_DeterministicChaos
124 reference(s)
114-Commentaires_EnsembleJuliaQuaternion.01
124 reference(s)
115-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
123 reference(s)
116-Commentaires_ProblemeDesNAimants.01
123 reference(s)
117-An2000.04.Fra
123 reference(s)
118-ArtScience.01
122 reference(s)
119-Galerie_TextureSynthesis
121 reference(s)
120-Commentaires_ModeleIsingTriDimensionnel.01
120 reference(s)
121-real.01.vv.
119 reference(s)
122-Galerie_FluidMechanics
119 reference(s)
123-Commentaires_SurfaceDeBoy.01
119 reference(s)
124-subject.01.
118 reference(s)
125-Galerie_DeterministicFractalGeometry
118 reference(s)
126-Galerie_BestOf
118 reference(s)
127-Commentaires_ModeleIsingBiDimensionnel.01
118 reference(s)
128-An2000.06.Fra
118 reference(s)

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




Copyright (c) Jean-François Colonna, 2006-2018.
Copyright (c) France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2006-2018.