Monthly Best Of on 08/22/2003




Intertwining based on the geometry of the Boy surface

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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Contents of this page:


1-The 128 most referenced Pictures:



Color display of a tridimensional function
1-974 reference(s)
Welcome aboard A VIRTUAL SPACE-TIME TRAVEL MACHINE
2-732 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-542 reference(s)
The journey of an Earth-like planet (dark blue)in the Solar System
4-463 reference(s)
Artistic view of the prime numbers
5-443 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
6-366 reference(s)
Autostereogram with an hidden volcano
7-344 reference(s)
The Lorenz attractor
8-321 reference(s)
Jean-François Colonna
9-276 reference(s)
The generalized Ulam spiral displaying 100 numbers
10-268 reference(s)
Quark and gluon structure of a nucleon
11-254 reference(s)
From Pluto to the Sun -extrapolation 2- (non linear scales)
12-246 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
13-230 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
14-209 reference(s)
8 evenly distributed points on a sphere by means of simulated annealing
15-206 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
16-204 reference(s)
The Birth of the Universe
17-204 reference(s)
Artistic view of the Solar System viewed from a virtual planet -a Tribute to Isaac Newton-
18-200 reference(s)
The Solar System with a dark blue virtual planet -heliocentric point of view-
19-198 reference(s)
Simulation of 'from Pluto to the Sun -extrapolation 2-' with pure uniform circular motions (non linear scales)
20-193 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)
21-187 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
22-185 reference(s)
From Pluto to the Sun (non linear scales)
23-182 reference(s)
Double impossible staircase
24-178 reference(s)
Autostereogram with an hidden volcano
25-175 reference(s)
Autostereogram with an hidden volcano
26-161 reference(s)
An Archimedes spiral displaying 1000 numbers
27-159 reference(s)
Artistic view of the Big Bang
28-158 reference(s)
Paradoxal Monument Valley at sunset
29-155 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
30-154 reference(s)
The Eratosthene sieve displaying 100x100 numbers
31-150 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
32-150 reference(s)
Electron-positron scattering
33-150 reference(s)
Cauliflowers, seaweeds, shells,... with fog
34-147 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
35-145 reference(s)
Hypercube
36-145 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
37-142 reference(s)
Botticelli anomaly on the Moon
38-140 reference(s)
Zoom in on light clouds
39-139 reference(s)
Synthesis of bidimensional geometrical textures
40-137 reference(s)
Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
41-135 reference(s)
The Solar System with a dark blue virtual planet -virtual planet point of view-
42-134 reference(s)
Psychedelic hypercube
43-132 reference(s)
Tridimensional zoom in on the Mandelbrot set
44-130 reference(s)
Jean-François Colonna
45-130 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
46-129 reference(s)
The generalized Ulam spiral displaying 1024 numbers
47-128 reference(s)
The erection of the Babel Tower
48-119 reference(s)
Mountains at sunrise
49-117 reference(s)
Electron diffraction
50-117 reference(s)
Texture animation by means of the generalized Fourier filtering process
51-115 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
52-114 reference(s)
Zollner optical illusion
53-114 reference(s)
Rotation about the X axis of the Lorenz attractor
54-111 reference(s)
Quark and gluon dynamics of the nucleon
55-110 reference(s)
Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
56-110 reference(s)
The iterative process used to generate fractal mountains (16 iterations)
57-109 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
58-109 reference(s)
A twisting rope
59-107 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
60-105 reference(s)
Carnival in motion
61-104 reference(s)
The Solar System with a dark blue virtual planet -heliocentric point of view-
62-104 reference(s)
Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
63-104 reference(s)
Jean-François Colonna
64-103 reference(s)
Electron-neutrino scattering
65-103 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
66-103 reference(s)
Starship and black hole
67-102 reference(s)
The random walk of photons escaping the Sun
68-101 reference(s)
The Solar System with a dark blue virtual planet -virtual planet point of view-
69-101 reference(s)
Earthquake with multifractal mountains
70-101 reference(s)
The Solar System with a dark blue virtual planet -virtual planet point of view-
71-99 reference(s)
Archimedes spirals
72-98 reference(s)
The Solar System with a dark blue virtual planet -heliocentric point of view-
73-97 reference(s)
N-body problem integration (N=4)with one yellow star and two planets (the red one being very heavy and the blue one and its white satellite being light)
74-97 reference(s)
The three pendulums and three magnets problem computed on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
75-97 reference(s)
The Eratosthene sieve displaying 10x10 numbers
76-95 reference(s)
The Solar System with a dark blue virtual planet -heliocentric point of view-
77-95 reference(s)
Alien
78-94 reference(s)
Flames
79-93 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)
80-93 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)
81-93 reference(s)
Tridimensional fractal structure
82-93 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
83-92 reference(s)
Along the border of the Mandelbrot set
84-91 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
85-91 reference(s)
Zoom in on the von Koch curve
86-90 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
87-90 reference(s)
Zoom in on mountains (with 3D clipping, bird's-eye view)
88-90 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
89-88 reference(s)
An Archimedes spiral displaying 100 numbers
90-87 reference(s)
Artistic view of 128 quaternionic Julia sets -tridimensional cross-sections-
91-87 reference(s)
The eye of God -an artistic view of the Solar System-
92-86 reference(s)
N-body problem integration (N=2)displaying a perfect Keplerian orbit
93-86 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
94-86 reference(s)
The first two iterations of the construction of the von Koch curve
95-85 reference(s)
Artistic view of the Hydrogen atom
96-85 reference(s)
The Solar System with a dark blue virtual planet -virtual planet point of view-
97-84 reference(s)
More and more craters on the Moon
98-83 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (tridimensional computation)
99-83 reference(s)
The irreversibility of the numerical bidimensional billiard
100-82 reference(s)
Brownian motion of a few heavy slow particles inside a gaz of fast light particles
101-80 reference(s)
Dynamics of the even distribution of 8 points on a sphere by means of simulated annealing
102-80 reference(s)
Animation of a sunrise on mountains
103-80 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
104-79 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
105-79 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+20.0)x(-15.0,+15.0)
106-78 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
107-78 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
108-78 reference(s)
Lorenz butterfly
109-77 reference(s)
Volcano
110-77 reference(s)
Bidimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
111-76 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
112-76 reference(s)
Bidimensional domino effect
113-74 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
114-73 reference(s)
Reconstruction of a 2D structure -the map of France-
115-73 reference(s)
The Klein bottle
116-73 reference(s)
The generalized Ulam spiral
117-72 reference(s)
Tridimensional zoom in on the Mandelbrot set
118-72 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
119-71 reference(s)
An arbitrary surface (Jeener surface 2)in motion
120-71 reference(s)
A quaternionic Julia set -tridimensional cross-section-
121-71 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
122-71 reference(s)
Perfect impact between 2 particles (yellow and blue, white point is their gravity center)
123-70 reference(s)
Artistic view of Ph(Zeta)
124-69 reference(s)
The Gate
125-69 reference(s)
Morning sun pool
126-69 reference(s)
A higly symmetrical system (a bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle)can lost very fast the memory of its initial symmetry -with display of velocity histograms-
127-68 reference(s)
Peace
128-68 reference(s)




2-The 128 most referenced Pages:



1-demo_14
3357 reference(s)
2-AVirtualSpaceTimeTravelMachine.Ang
1110 reference(s)
3-An2000.01.Fra
844 reference(s)
4-help.
628 reference(s)
5-Galerie_ArtisticCreation.FV
464 reference(s)
6-AVirtualSpaceTimeTravelMachine.Fra
445 reference(s)
7-Galerie_NewPictures.FV
328 reference(s)
8-copyright.01.
317 reference(s)
9-present.01.
316 reference(s)
10-Galeries.01.vv
316 reference(s)
11-Galerie_DeterministicFractalGeometry.FV
305 reference(s)
12-mail.01.vv
297 reference(s)
13-Galerie_QuantumMechanics.FV
281 reference(s)
14-Informations_AboutPicturesAnimationsAndFiles.01.Ang
280 reference(s)
15-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
268 reference(s)
16-Galerie_BestOf.FV
267 reference(s)
17-AVirtualSpaceTimeTravelMachine.Ang.FV
265 reference(s)
18-Galerie_DeterministicChaos.FV
248 reference(s)
19-Galerie_DeterministicChaos
243 reference(s)
20-demo_14.FV
241 reference(s)
21-Galerie_GeneralitiesVisualization.FV
241 reference(s)
22-ImagesDuVirtuel.01.Fra
239 reference(s)
23-Galerie_CelestialMechanics.FV
235 reference(s)
24-Galerie_ParticleSystems.FV
233 reference(s)
25-Galerie_NumberTheory.FV
232 reference(s)
26-BEST.20000905
231 reference(s)
27-GenieLogiciel.01.Fra
216 reference(s)
28-Galerie_ArtAndScience.FV
214 reference(s)
29-Galerie_Astrophysics.FV
213 reference(s)
30-AProposSite.01.Fra
212 reference(s)
31-AvantPropos.01.Ang
206 reference(s)
32-Galerie_CelestialMechanics
203 reference(s)
33-Commentaires_DefinitionTransformeeDeFourier.01
203 reference(s)
34-Galerie_TextureSynthesis.FV
196 reference(s)
35-Galerie_FluidMechanics.FV
193 reference(s)
36-Galerie_NewPictures.DIAPO.0001
192 reference(s)
37-subject.01.
184 reference(s)
38-Galerie_QuantumMechanics
184 reference(s)
39-Galerie_DeterministicFractalGeometry
181 reference(s)
40-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
177 reference(s)
41-AVirtualSpaceTimeTravelMachine.Fra.FV
177 reference(s)
42-Galerie_SensitivityToRoundingOffErrors.FV
176 reference(s)
43-BEST.20030604
176 reference(s)
44-Galerie_ParticleSystems
173 reference(s)
45-ImagesDuVirtuel.01.Fra.FV
172 reference(s)
46-ExpV_VirE.11
171 reference(s)
47-BEST.20020828
170 reference(s)
48-Galerie_SignalProcessing.FV
169 reference(s)
49-Stereogrammes_AutoStereogrammes.01
167 reference(s)
50-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
167 reference(s)
51-BEST.20010925
166 reference(s)
52-An2000.01.Ang
166 reference(s)
53-hydrogene.61.K.
164 reference(s)
54-Autostereograms.01.
164 reference(s)
55-JFC
161 reference(s)
56-Informations_GoodNewsAndBadNews.01.Ang
160 reference(s)
57-AnimFractal.01.
159 reference(s)
58-Galerie_NewPictures
158 reference(s)
59-ExpV_VirE.Fra
157 reference(s)
60-Fractal.01
155 reference(s)
61-BEST.20030327
155 reference(s)
62-Commentaires_DefinitionQuaternions.01
153 reference(s)
63-Galerie_ArtisticCreation.DIAPO.0001
152 reference(s)
64-RemarquesCerveau.01
149 reference(s)
65-ExpV_VirE.01.Fra
149 reference(s)
66-An2000.02.Fra
148 reference(s)
67-Galerie_QuantumMechanics.DIAPO.0001
147 reference(s)
68-create.03.
146 reference(s)
69-Commentaires_ModeleIsingBiDimensionnel.01
144 reference(s)
70-Commentaires_DefinitionComplexes.01
144 reference(s)
71-VisSci_SciVis.01
142 reference(s)
72-Galerie_NumberTheory
142 reference(s)
73-Galerie_TextureSynthesis
141 reference(s)
74-ArtScience.01
141 reference(s)
75-AQuoiServentLesMathematiques.01
141 reference(s)
76-Commentaires_SystemeSolaire.01
140 reference(s)
77-An2000.11.Fra
140 reference(s)
78-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
139 reference(s)
79-Galerie_NumberTheory.DIAPO.0001
138 reference(s)
80-Galerie_GeneralitiesVisualization.DIAPO.0001
136 reference(s)
81-MonumentValley.01.Ang
135 reference(s)
82-Galerie_NewPictures.DIAPO.0002
135 reference(s)
83-Galerie_GeneralitiesVisualization
135 reference(s)
84-BEST.20000323
135 reference(s)
85-Galerie_DeterministicChaos.DIAPO.0001
134 reference(s)
86-Galerie_CelestialMechanics.DIAPO.0001
134 reference(s)
87-Galerie_ArtAndScience.DIAPO.0001
134 reference(s)
88-RealNumbers.01.Fra
133 reference(s)
89-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0001
133 reference(s)
90-Galerie_NewPictures.DIAPO.0017
133 reference(s)
91-Galerie_DeterministicFractalGeometry.DIAPO.0001
133 reference(s)
92-Ariane501.01.Fra
133 reference(s)
93-Galerie_SignalProcessing
132 reference(s)
94-Galerie_ParticleSystems.DIAPO.0001
132 reference(s)
95-Galerie_NewPictures.DIAPO.0003
132 reference(s)
96-Galerie_ArtisticCreation
132 reference(s)
97-Commentaires_KleinBottle.01
132 reference(s)
98-Kepler.02.
130 reference(s)
99-Galerie_NewPictures.DIAPO.0007
130 reference(s)
100-Galerie_ArtisticCreation.DIAPO.0009
130 reference(s)
101-Galerie_ArtisticCreation.DIAPO.0008
130 reference(s)
102-VisitesGaleriesEnfouies.01.Ang
129 reference(s)
103-Galerie_NewPictures.DIAPO.0019
129 reference(s)
104-Galerie_NewPictures.DIAPO.0016
129 reference(s)
105-Galerie_NewPictures.DIAPO.0015
129 reference(s)
106-Galerie_NewPictures.DIAPO.0014
129 reference(s)
107-Galerie_ArtisticCreation.DIAPO.0007
129 reference(s)
108-Commentaires_EnsembleMandelbrotComplexe.01
129 reference(s)
109-Galerie_NewPictures.DIAPO.0021
128 reference(s)
110-Galerie_NewPictures.DIAPO.0020
128 reference(s)
111-Galerie_NewPictures.DIAPO.0018
128 reference(s)
112-Galerie_NewPictures.DIAPO.0012
128 reference(s)
113-ExpV_VirE.Ang
128 reference(s)
114-Galerie_NewPictures.DIAPO.0022
127 reference(s)
115-Galerie_NewPictures.DIAPO.0013
127 reference(s)
116-Galerie_NewPictures.DIAPO.0011
127 reference(s)
117-Galerie_NewPictures.DIAPO.0009
127 reference(s)
118-Galerie_NewPictures.DIAPO.0008
127 reference(s)
119-Galerie_Astrophysics.DIAPO.0001
127 reference(s)
120-Galerie_ArtisticCreation.DIAPO.0014
127 reference(s)
121-Galerie_ArtisticCreation.DIAPO.0013
127 reference(s)
122-Galerie_ArtisticCreation.DIAPO.0010
127 reference(s)
123-An2000.05.Fra
127 reference(s)
124-Galerie_NewPictures.DIAPO.0023
126 reference(s)
125-Galerie_NewPictures.DIAPO.0010
126 reference(s)
126-Galerie_NewPictures.DIAPO.0005
126 reference(s)
127-Galerie_NewPictures.DIAPO.0004
126 reference(s)
128-Galerie_FluidMechanics.DIAPO.0001
126 reference(s)

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Copyright (c) Jean-François Colonna, 2003-2018.
Copyright (c) France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2003-2018.