Monthly Best Of on 09/25/2001




The K-smooth integers on a Tridimensional Hilbert Curve -iteration 2-

Jean-François COLONNA
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www.lactamme.polytechnique.fr

CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, École polytechnique, Institut Polytechnique de Paris, CNRS, France
france telecom, France Telecom R&D

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(CMAP28 WWW site: this page was created on 09/25/2001 and last updated on 11/14/2023 17:46:34 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Welcome aboard A VIRTUAL SPACE-TIME TRAVEL MACHINE
1-1020 reference(s)		 Artistic view of the tridimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to a vertical field of gravity
2-550 reference(s)		 Artistic view of the prime numbers
3-537 reference(s)		 Jean-François COLONNA
4-502 reference(s)
Quark and gluon structure of a nucleon
5-432 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
6-415 reference(s)		 The 5x5=25 patches of the tridimensional representation of a quadridimensional Calabi-Yau manifold
7-402 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
8-384 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)
9-360 reference(s)		 The Birth of the Universe
10-347 reference(s)		 Quark and gluon dynamics of the nucleon
11-327 reference(s)		 Filament dynamics
12-315 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
13-298 reference(s)		 Zoom in on the von Koch curve
14-265 reference(s)		 The erection of the Babel Tower
15-260 reference(s)		 Tridimensional 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
16-256 reference(s)
Cauliflowers, seaweeds, shells,... with fog
17-256 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
18-252 reference(s)		 16 earth-like planets initially on the same keplerian trajectory
19-251 reference(s)		 Artistic view of the Big Bang
20-250 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
21-246 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
22-241 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
23-233 reference(s)		 From Pluto to the Sun (non linear scales)
24-223 reference(s)
Animation of a sunrise on mountains
25-222 reference(s)		 Electron-positron scattering
26-220 reference(s)		 The 16 first patches of the tridimensional representation of a quadridimensional Calabi-Yau manifold
27-218 reference(s)		 The Lorenz attractor
28-217 reference(s)
Mountains at sunrise
29-202 reference(s)		 Texture animation by means of the generalized Fourier filtering process
30-199 reference(s)		 Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
31-198 reference(s)		 Zoom in on the von Koch curve
32-195 reference(s)
Electron diffraction
33-195 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
34-192 reference(s)		 A twisting rope
35-188 reference(s)		 Rotation about the X axis of the Lorenz attractor
36-188 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
37-187 reference(s)		 Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
38-186 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
39-181 reference(s)		 The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
40-180 reference(s)
Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
41-176 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)
42-175 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
43-175 reference(s)		 Triple impossible staircase
44-174 reference(s)
Alien
45-172 reference(s)		 Electron-neutrino scattering
46-163 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
47-161 reference(s)		 Zoom in on mountains (with 3D clipping, bird's-eye view)
48-161 reference(s)
The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
49-158 reference(s)		 Tridimensional zoom in on the Mandelbrot set
50-156 reference(s)		 Earthquake with multifractal mountains
51-156 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)
52-155 reference(s)
Translation along the fourth axis of a quaternionic Julia set -tridimensional cross-sections-
53-155 reference(s)		 From the infinitely small to the infinitely big
54-155 reference(s)		 Rotation about the Y axis of the Boy surface with motion blur
55-153 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation
56-153 reference(s)
The iterative process used to generate bidimensional fractal fields (16 iterations)
57-149 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
58-148 reference(s)		 The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
59-147 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
60-147 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
61-143 reference(s)		 The numerical irreversibility of the bidimensional billiard
62-141 reference(s)		 Artistic view of Ph(Zeta)
63-139 reference(s)		 N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)-sensitivity to initial conditions-
64-139 reference(s)
Bidimensional visualization of a bidimensional turbulent flow -sensitivity to initial conditions-
65-139 reference(s)		 Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
66-138 reference(s)		 Waltzing snowy Rocky Mountains
67-138 reference(s)		 Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
68-137 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)
69-135 reference(s)		 Artistic view of a 2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
70-135 reference(s)		 An arbitrary surface (Jeener surface 2)in motion
71-134 reference(s)		 Diffusion between two boxes (initial conditions: the left one is empty, the right one contains 256 particles), with collisions and a time-dependent geometry
72-133 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-
73-132 reference(s)		 Brownian motion of a few heavy slow particles inside a gaz of fast light particles
74-131 reference(s)		 16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
75-130 reference(s)		 Autostereogram with an hidden volcano and an animated disguise texture
76-130 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (tridimensional computation)
77-129 reference(s)		 Animation of a natural form
78-127 reference(s)		 Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
79-127 reference(s)		 Bidimensional domino effect
80-126 reference(s)
Psychedelic hypercube
81-126 reference(s)		 Very naive view (solar system-like)of the Hydrogen atom
82-125 reference(s)		 From à rectangle to the Boy surface
83-124 reference(s)		 More and more craters on the Moon
84-124 reference(s)
2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
85-124 reference(s)		 Zoom in on a quaternionic Julia set -tridimensional cross-sections-
86-123 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
87-122 reference(s)		 Fractal diffusion front in a bidimensional medium obtained by means of identical interacting particles
88-121 reference(s)
Texture animation by means of Fourier interpolation
89-120 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
90-119 reference(s)		 Carnival in motion
91-118 reference(s)		 The velocity vectors -with a common origin- of the 9 planets of the Solar System during one plutonian year
92-117 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
93-117 reference(s)		 From Mars to the Sun
94-117 reference(s)		 The iterative process used to generate fractal mountains (16 iterations and bird's-eye view)
95-117 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
96-116 reference(s)
Bidimensional quasi-symmetrical fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
97-115 reference(s)		 Botticelli anomaly on the Moon
98-115 reference(s)		 Synthesis of bidimensional geometrical textures
99-115 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
100-113 reference(s)
Alien spacecrafts on the Moon
101-113 reference(s)		 2 identical grey squares moving over a grey scale
102-113 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)
103-112 reference(s)		 The 9 last patches of the tridimensional representation of a quadridimensional Calabi-Yau manifold
104-112 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
105-111 reference(s)		 The Möbius strip
106-111 reference(s)		 Zoom in on self-similar light clouds
107-111 reference(s)		 Tridimensional visualization of a bidimensional turbulent flow
108-111 reference(s)
A shell (Jeener surface 1)in motion
109-111 reference(s)		 Waltzing Monument Valley (bird's-eye view)
110-110 reference(s)		 The eye of God -an artistic view of the Solar System-
111-108 reference(s)		 Texture animation by means of the Generalized Product
112-107 reference(s)
N-body problem integration (N=2)displaying a perfect Keplerian orbit
113-107 reference(s)		 Self-similar zoom in on tridimensional fractal structure
114-107 reference(s)		 Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
115-106 reference(s)		 Morning sun pool
116-105 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle and with display of velocity histograms
117-104 reference(s)		 Zoom in on a quaternionic Julia set -tridimensional cross-sections-
118-104 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
119-104 reference(s)		 Hypercube
120-104 reference(s)
The trajectories of bidimensional quasi-symmetrical fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
121-103 reference(s)		 Dynamics of an erosion process (bird's-eye view)
122-103 reference(s)		 The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
123-103 reference(s)		 Along the border of the Mandelbrot set
124-102 reference(s)
Particle collisions without energy loss in a tridimensional space with display of the velocity histogram
125-102 reference(s)		 Bidimensional fractal aggregates obtained by means of two families of interacting particles with the following initial conditions about velocity: V for the Red ones and V/5 for the Blue ones
126-102 reference(s)		 display of the inclination of two elliptic trajectories
127-102 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
128-101 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
4387 reference(s)		 2-An2000.01.Fra
1834 reference(s)
3-AVirtualSpaceTimeTravelMachine.Ang
1236 reference(s)		 4-BEST.20000323
455 reference(s)
5-demo_14.FV
426 reference(s)		 6-help.
416 reference(s)
7-AVirtualSpaceTimeTravelMachine.Fra
382 reference(s)		 8-present.01.
334 reference(s)
9-ExpV_VirE.Fra
304 reference(s)		 10-copyright.01.
303 reference(s)
11-ImagesDuVirtuel.01.Fra
282 reference(s)		 12-GenieLogiciel.01.Fra
268 reference(s)
13-Galerie_ArtisticCreation.FV
245 reference(s)		 14-An2000.02.Fra
232 reference(s)
15-create.03.
214 reference(s)		 16-Galerie_DeterministicChaos
213 reference(s)
17-AProposSite.01.Fra
194 reference(s)		 18-mail.01.vv
193 reference(s)
19-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
190 reference(s)		 20-Commentaires_SystemeSolaire.01
189 reference(s)
21-Commentaires_ProblemeDesNCorps.01
189 reference(s)		 22-Galerie_GeneralitiesVisualization.FV
186 reference(s)
23-BEST.20000403
180 reference(s)		 24-Autostereograms.01.
178 reference(s)
25-BEST.20010125
176 reference(s)		 26-Galerie_DeterministicChaos.FV
173 reference(s)
27-AvantPropos.01.Ang
173 reference(s)		 28-ExpV_VirE.Ang
172 reference(s)
29-Galerie_CelestialMechanics
170 reference(s)		 30-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
169 reference(s)
31-VisSci_SciVis.01
168 reference(s)		 32-Fractal.01
168 reference(s)
33-RealNumbers.01.Fra
161 reference(s)		 34-Galerie_QuantumMechanics
159 reference(s)
35-Galerie_CelestialMechanics.FV
159 reference(s)		 36-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
158 reference(s)
37-Informations_AboutAnimationAndFiles.01.Ang
157 reference(s)		 38-AnimFractal.01.
155 reference(s)
39-An2000.01.Ang
155 reference(s)		 40-hydrogene.61.K.
153 reference(s)
41-Galerie_TextureSynthesis.FV
150 reference(s)		 42-Galerie_NewPictures
148 reference(s)
43-An2000.05.Fra
148 reference(s)		 44-AVirtualSpaceTimeTravelMachine.Fra.FV
146 reference(s)
45-AVirtualSpaceTimeTravelMachine.Ang.FV
145 reference(s)		 46-MonumentValley.01.Ang
144 reference(s)
47-Galerie_NumberTheory.FV
142 reference(s)		 48-Commentaires_DefinitionTransformeeDeFourier.01
141 reference(s)
49-ExpV_VirE.01.Fra
140 reference(s)		 50-ArtScience.01
139 reference(s)
51-Galeries.01.vv
138 reference(s)		 52-BEST.20010529
138 reference(s)
53-Galerie_QuantumMechanics.FV
136 reference(s)		 54-Galerie_DeterministicFractalGeometry.FV
133 reference(s)
55-Commentaires_DefinitionComplexes.01
132 reference(s)		 56-JFC
131 reference(s)
57-Ariane501.01.Fra
129 reference(s)		 58-Informations_GoodNewsAndBadNews.01.Ang
128 reference(s)
59-Galerie_NewPictures.FV
128 reference(s)		 60-An2000.11.Fra
128 reference(s)
61-catalogue.11
127 reference(s)		 62-Galerie_ArtAndScience.FV
126 reference(s)
63-ManyChaos.01.Ang
124 reference(s)		 64-An2000.03.Fra
123 reference(s)
65-MonumentValley.01.Fra
122 reference(s)		 66-PourLaScience.01.Fra
121 reference(s)
67-RemarquesCerveau.01
120 reference(s)		 68-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
120 reference(s)
69-subject.01.
119 reference(s)		 70-stereogra.01.c.
119 reference(s)
71-Galerie_BestOf
119 reference(s)		 72-Commentaires_DefinitionQuaternions.01
119 reference(s)
73-BEST.20000717
119 reference(s)		 74-ManyChaos.01.Fra
118 reference(s)
75-Galerie_SensitivityToRoundingOffErrors
118 reference(s)		 76-BEST.20000905
117 reference(s)
77-BEST.20000517
117 reference(s)		 78-LOG_xiMc.11
116 reference(s)
79-ImagesDuVirtuel.01.Fra.FV
115 reference(s)		 80-Galerie_SignalProcessing.FV
115 reference(s)
81-Vcatalogue.11
114 reference(s)		 82-Commentaires_ProblemeDesNAimants.01
113 reference(s)
83-BEST.20001024
113 reference(s)		 84-AQuoiServentLesMathematiques.01
112 reference(s)
85-BEST.20001205
111 reference(s)		 86-Galerie_GeneralitiesVisualization
108 reference(s)
87-LumiereVirtuelleParadoxale.01
107 reference(s)		 88-Galerie_BestOf.FV
107 reference(s)
89-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
106 reference(s)		 90-Galerie_FluidMechanics.FV
106 reference(s)
91-Commentaires_EnsembleMandelbrotComplexe.01
105 reference(s)		 92-relativity.01.
104 reference(s)
93-IllusionConnaissance.01
104 reference(s)		 94-An2000.06.Fra
102 reference(s)
95-Commentaires_EnsembleJuliaComplexe.01
101 reference(s)		 96-ArtOrdinateur.01
101 reference(s)
97-DuReelAuVirtuel.01.Fra
100 reference(s)		 98-PremierMinistre.01.Fra
99 reference(s)
99-Commentaires_EnsembleJuliaQuaternion.01
99 reference(s)		 100-Galerie_FluidMechanics
98 reference(s)
101-BEST.20010424
98 reference(s)		 102-PresidentRepublique.01.Fra
97 reference(s)
103-Galerie_DeterministicFractalGeometry
97 reference(s)		 104-ExpV_VirE.01.Ang
95 reference(s)
105-Galerie_ArtisticCreation
94 reference(s)		 106-Commentaires_StructuresVivantesRecursives.01
94 reference(s)
107-Commentaires_EnsembleMandelbrotQuaternion.01
94 reference(s)		 108-Kepler.02.
93 reference(s)
109-Galerie_SensitivityToRoundingOffErrors.FV
92 reference(s)		 110-Galerie_SalonDAutomne.FV
91 reference(s)
111-Galerie_FromTheInfinitelySmallToTheInfinitelyBig
91 reference(s)		 112-An2000.04.Fra
91 reference(s)
113-Spheres.01
90 reference(s)		 114-Commentaires_ModeleIsingBiDimensionnel.01
90 reference(s)
115-Galerie_Astrophysics.FV
89 reference(s)		 116-ImpossibleStructures.01.Ang
88 reference(s)
117-Galerie_ArtAndScience
88 reference(s)		 118-Commentaires_NKleinBottle.01
86 reference(s)
119-Commentaires_ModeleIsingTriDimensionnel.01
85 reference(s)		 120-Informations_AboutAnimationAndFiles.01.Fra
84 reference(s)
121-infinity.01.vv
83 reference(s)		 122-AvantPropos.01.Fra
82 reference(s)
123-Galerie_Astrophysics
79 reference(s)		 124-Galerie_SignalProcessing
78 reference(s)
125-PatrimoineHumanite.02.Fra
77 reference(s)		 126-InformatiqueProfessionnelle.01.Fra
77 reference(s)
127-AProposSite.01.Ang
77 reference(s)		 128-Informations_GoodNewsAndBadNews.01.Fra
75 reference(s)

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Copyright © Jean-François COLONNA, 2001-2023.
Copyright © France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2001-2023.