Monthly Best Of on 05/15/2002




Polar display of the ten digits -from 0 to 9-

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

[Site Map, Help and Search [Plan du Site, Aide et Recherche]]
[The Y2K bug [Le bug de l'an 2000]]
[Do you believe that Real Numbers exist for a computer and that floating point computations are safe?]
[Please, visit A Virtual Space-Time Travel Machine, the place where you can find thousands of pictures and animations between Art and Science]
(CMAP28 WWW site: this page was created on 05/15/2002 and last updated on 06/30/2018 14:02:31 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Welcome aboard A VIRTUAL SPACE-TIME TRAVEL MACHINE
1-1516 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-735 reference(s)
Jean-François Colonna
3-671 reference(s)
Artistic view of the prime numbers
4-627 reference(s)
The generalized Ulam spiral displaying 100 numbers
5-589 reference(s)
Foggy 'anti-island'
6-574 reference(s)
Quark and gluon structure of a nucleon
7-495 reference(s)
Cross-sections of the Hiroko Kitaoka model of the human pulmonary acinus
8-406 reference(s)
The Birth of the Universe
9-401 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)
10-372 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
11-360 reference(s)
Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
12-355 reference(s)
The bottom of the sea
13-320 reference(s)
From Pluto to the Sun (non linear scales)
14-309 reference(s)
Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
15-305 reference(s)
Quark and gluon dynamics of the nucleon
16-304 reference(s)
The Lorenz attractor
17-304 reference(s)
Artistic view of the Big Bang
18-271 reference(s)
Synthesis of bidimensional geometrical textures
19-265 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
20-260 reference(s)
Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
21-259 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
22-243 reference(s)
Mountains at sunrise
23-241 reference(s)
Cauliflowers, seaweeds, shells,... with fog
24-239 reference(s)
Synthesis of bidimensional geometrical textures
25-238 reference(s)
Foggy seaboard
26-232 reference(s)
Botticelli anomaly on the Moon
27-228 reference(s)
Electron-positron scattering
28-226 reference(s)
16 earth-like planets initially on the same keplerian trajectory
29-212 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
30-208 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
31-202 reference(s)
Animation of a sunrise on mountains
32-193 reference(s)
Double impossible staircase
33-193 reference(s)
Starship and black hole
34-179 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
35-176 reference(s)
The random walk of photons escaping the Sun
36-169 reference(s)
The Eratosthene sieve displaying 10x10 numbers
37-168 reference(s)
Rotation about the X axis of the Lorenz attractor
38-166 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
39-164 reference(s)
Electron diffraction
40-164 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
41-163 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
42-162 reference(s)
Tridimensional zoom in on the Mandelbrot set
43-162 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
44-159 reference(s)
Synthesis of bidimensional geometrical textures
45-159 reference(s)
Alien
46-157 reference(s)
Very naive view (solar system-like)of the Hydrogen atom
47-157 reference(s)
Foggy 'anti-seaboard'
48-154 reference(s)
Tridimensional display of one of the eigenstates (n=8,l=6)of the Hydrogen atom
49-151 reference(s)
Psychedelic hypercube
50-145 reference(s)
An Archimedes spiral displaying 100 numbers
51-144 reference(s)
Zoom in on the von Koch curve
52-143 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
53-140 reference(s)
Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
54-137 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
55-136 reference(s)
Alien spacecrafts on the Moon
56-135 reference(s)
A twisting rope
57-132 reference(s)
The Eratosthene sieve displaying 100x100 numbers
58-132 reference(s)
An Archimedes spiral displaying 1000 numbers
59-131 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
60-131 reference(s)
Texture animation by means of the generalized Fourier filtering process
61-131 reference(s)
Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
62-131 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
63-130 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
64-129 reference(s)
Bidimensional visualization of a bidimensional turbulent flow -sensitivity to initial conditions-
65-126 reference(s)
Hypercube
66-125 reference(s)
A shell (Jeener surface 1)in motion
67-123 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
68-123 reference(s)
The iterative process used to generate bidimensional fractal fields (16 iterations)
69-121 reference(s)
Zoom in on the von Koch curve
70-119 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
71-119 reference(s)
Zoom in on mountains (with 3D clipping, bird's-eye view)
72-118 reference(s)
Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
73-118 reference(s)
The generalized Ulam spiral displaying 1024 numbers
74-117 reference(s)
Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
75-117 reference(s)
Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
76-114 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
77-112 reference(s)
N-body problem integration (N=2)displaying a perfect Keplerian orbit
78-112 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
79-112 reference(s)
N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation
80-110 reference(s)
Artistic view of Ph(Zeta)
81-109 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
82-109 reference(s)
Synthesis of bidimensional geometrical textures
83-108 reference(s)
The Gate
84-107 reference(s)
Electron-neutrino scattering
85-107 reference(s)
Cloud dynamics -this sequence being periodical, bird's-eye view-
86-106 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (tridimensional computation)
87-106 reference(s)
Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
88-104 reference(s)
The first two iterations of the construction of the von Koch curve
89-102 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
90-102 reference(s)
Morning sun pool
91-101 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)
92-99 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
93-98 reference(s)
Paradoxal Monument Valley at sunset
94-98 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)
95-98 reference(s)
Translation along the fourth axis of a quaternionic Julia set -tridimensional cross-sections-
96-98 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
97-97 reference(s)
More and more craters on the Moon
98-96 reference(s)
Artistic view of a nucleon
99-96 reference(s)
16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
100-95 reference(s)
The Möbius strip
101-95 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
102-93 reference(s)
Reconstruction of a 2D structure -the map of France-
103-92 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)
104-92 reference(s)
The eye of God -an artistic view of the Solar System-
105-90 reference(s)
Bidimensional zoom in on the Z=Zeta(Z)iteration with display of the arguments
106-90 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
107-90 reference(s)
Archimedes spirals
108-90 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
109-89 reference(s)
Zollner optical illusion
110-87 reference(s)
Artistic view of the trajectories of bidimensional fractal aggregates obtained by means of pasting during collisions of particles submitted to an attractive central field of gravity
111-86 reference(s)
Impossible structure
112-86 reference(s)
Zoom in on light clouds
113-85 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)
114-84 reference(s)
Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
115-84 reference(s)
The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
116-82 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
117-81 reference(s)
The erection of the Babel Tower
118-80 reference(s)
Tridimensional fractal structure
119-80 reference(s)
Mandelbrot set in the sky
120-79 reference(s)
The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
121-79 reference(s)
Artistic view of the Hydrogen atom
122-79 reference(s)
Earthquake with multifractal mountains
123-79 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
124-78 reference(s)
The Earth, the Life and the Sun
125-77 reference(s)
Waltzing Monument Valley
126-76 reference(s)
A variable Archimedes spiral displaying 1000 numbers
127-75 reference(s)
La Génèse (1974)
128-75 reference(s)




2-The 128 most referenced Pages:



1-demo_14
7887 reference(s)
2-An2000.01.Fra
2056 reference(s)
3-AVirtualSpaceTimeTravelMachine.Ang
1667 reference(s)
4-demo_14.FV
578 reference(s)
5-BEST.20000323
480 reference(s)
6-help.
461 reference(s)
7-AVirtualSpaceTimeTravelMachine.Fra
423 reference(s)
8-Galerie_ArtisticCreation.FV
391 reference(s)
9-copyright.01.
293 reference(s)
10-present.01.
292 reference(s)
11-Galerie_GeneralitiesVisualization.FV
289 reference(s)
12-ImagesDuVirtuel.01.Fra
278 reference(s)
13-GenieLogiciel.01.Fra
253 reference(s)
14-Informations_AboutPicturesAnimationsAndFiles.01.Ang
247 reference(s)
15-Fractal.01
233 reference(s)
16-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
225 reference(s)
17-mail.01.vv
223 reference(s)
18-ExpV_VirE.Fra
216 reference(s)
19-AvantPropos.01.Ang
214 reference(s)
20-Informations_GoodNewsAndBadNews.01.Ang
199 reference(s)
21-BEST.20000403
199 reference(s)
22-Galeries.01.vv
181 reference(s)
23-MonumentValley.01.Ang
180 reference(s)
24-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
168 reference(s)
25-Galerie_CelestialMechanics
167 reference(s)
26-AVirtualSpaceTimeTravelMachine.Ang.FV
150 reference(s)
27-ImagesDuVirtuel.01.Fra.FV
141 reference(s)
28-BEST.20020116
141 reference(s)
29-create.03.
137 reference(s)
30-Commentaires_DefinitionTransformeeDeFourier.01
137 reference(s)
31-An2000.02.Fra
136 reference(s)
32-Galerie_DeterministicChaos
134 reference(s)
33-AnimFractal.01.
131 reference(s)
34-Galerie_TextureSynthesis.FV
130 reference(s)
35-hydrogene.61.K.
128 reference(s)
36-BEST.20000905
125 reference(s)
37-AQuoiServentLesMathematiques.01
125 reference(s)
38-Autostereograms.01.
123 reference(s)
39-Commentaires_SystemeSolaire.01
122 reference(s)
40-Commentaires_DefinitionComplexes.01
122 reference(s)
41-Galerie_DeterministicFractalGeometry.FV
121 reference(s)
42-BEST.20000517
119 reference(s)
43-AProposSite.01.Fra
119 reference(s)
44-Galerie_QuantumMechanics.FV
118 reference(s)
45-Galerie_CelestialMechanics.FV
116 reference(s)
46-AVirtualSpaceTimeTravelMachine.Fra.FV
116 reference(s)
47-RemarquesCerveau.01
115 reference(s)
48-Commentaires_DefinitionQuaternions.01
114 reference(s)
49-Galerie_DeterministicChaos.FV
113 reference(s)
50-Commentaires_EnsembleMandelbrotComplexe.01
111 reference(s)
51-BEST.20010424
109 reference(s)
52-VisSci_SciVis.01
108 reference(s)
53-BEST.20000717
108 reference(s)
54-Galerie_QuantumMechanics
106 reference(s)
55-Commentaires_ProblemeDesNCorps.01
105 reference(s)
56-BEST.20010925
103 reference(s)
57-BEST.20010125
102 reference(s)
58-An2000.05.Fra
102 reference(s)
59-JFC
101 reference(s)
60-RealNumbers.01.Fra
100 reference(s)
61-BEST.20010529
100 reference(s)
62-BEST.20001205
100 reference(s)
63-subject.01.
99 reference(s)
64-Galerie_NumberTheory.FV
99 reference(s)
65-BEST.20001024
99 reference(s)
66-Commentaires_ModeleIsingBiDimensionnel.01
97 reference(s)
67-An2000.01.Ang
97 reference(s)
68-Galerie_GeneralitiesVisualization
96 reference(s)
69-Galerie_DeterministicFractalGeometry
90 reference(s)
70-stereogra.01.c.
89 reference(s)
71-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
89 reference(s)
72-Commentaires_EnsembleJuliaComplexe.01
88 reference(s)
73-Galerie_ParticleSystems
87 reference(s)
74-ExpV_VirE.Ang
86 reference(s)
75-Commentaires_EnsembleMandelbrotQuaternion.01
86 reference(s)
76-Commentaires_EnsembleJuliaQuaternion.01
86 reference(s)
77-Galerie_NewPictures.FV
85 reference(s)
78-Galerie_SensitivityToRoundingOffErrors
84 reference(s)
79-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
84 reference(s)
80-Galerie_NewPictures
81 reference(s)
81-Commentaires_ProblemeDesNAimants.01
80 reference(s)
82-ArtScience.01
78 reference(s)
83-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
77 reference(s)
84-Commentaires_ModeleIsingTriDimensionnel.01
75 reference(s)
85-Galerie_ParticleSystems.FV
74 reference(s)
86-Commentaires_StructuresVivantesRecursives.01
74 reference(s)
87-ExpV_VirE.01.Fra
73 reference(s)
88-ManyChaos.01.Ang
72 reference(s)
89-Galerie_ArtAndScience.FV
72 reference(s)
90-An2000.03.Fra
72 reference(s)
91-catalogue.11
70 reference(s)
92-Vcatalogue.11
70 reference(s)
93-Kepler.02.
70 reference(s)
94-An2000.04.Fra
70 reference(s)
95-Spheres.01
69 reference(s)
96-ArtOrdinateur.01
69 reference(s)
97-Ariane501.01.Fra
69 reference(s)
98-Galerie_NumberTheory
67 reference(s)
99-Galerie_FluidMechanics.FV
67 reference(s)
100-Galerie_FromTheInfinitelySmallToTheInfinitelyBig
66 reference(s)
101-Galerie_ArtisticCreation
66 reference(s)
102-Commentaires_NKleinBottle.01
66 reference(s)
103-AvantPropos.01.Fra
66 reference(s)
104-ImpossibleStructures.01.Ang
65 reference(s)
105-Galerie_FluidMechanics
65 reference(s)
106-Galerie_ArtAndScience
65 reference(s)
107-Galerie_SignalProcessing.FV
63 reference(s)
108-An2000.11.Fra
63 reference(s)
109-An2000.06.Fra
63 reference(s)
110-infinity.01.vv
62 reference(s)
111-Galerie_TextureSynthesis
62 reference(s)
112-LOG_xiMc.11
61 reference(s)
113-Informations_GoodNewsAndBadNews.01.Fra
60 reference(s)
114-Galerie_Astrophysics
60 reference(s)
115-Galerie_SensitivityToRoundingOffErrors.FV
59 reference(s)
116-Galerie_Astrophysics.FV
59 reference(s)
117-relativity.01.
58 reference(s)
118-ExpV_VirE.01.Ang
58 reference(s)
119-PatrimoineHumanite.02.Fra
56 reference(s)
120-MonumentValley.01.Fra
56 reference(s)
121-Galerie_SalonDAutomne.FV
56 reference(s)
122-Galerie_BestOf.FV
55 reference(s)
123-DuReelAuVirtuel.01.Fra
55 reference(s)
124-VisitesGaleriesEnfouies.01.Fra
54 reference(s)
125-Galerie_SalonDAutomne
54 reference(s)
126-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
54 reference(s)
127-Informations_AboutPicturesAnimationsAndFiles.01.Fra
53 reference(s)
128-Galerie_SignalProcessing
53 reference(s)

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




Copyright (c) Jean-François Colonna, 2002-2018.
Copyright (c) France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2002-2018.