Monthly Best Of on 10/24/2000




Bidimensional Hilbert Curve -iteration 5-

Jean-François COLONNA
[Contact me]

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

[Site Map, Help and Search [Plan du Site, Aide et Recherche]]
[The Y2K Bug [Le bug de l'an 2000]]
[Real Numbers don't exist in Computers and Floating Point Computations aren't safe. [Les Nombres Réels n'existent dans les Ordinateurs et les Calculs Flottants ne sont pas sûrs.]]
[Please, visit A Virtual Machine for Exploring Space-Time and Beyond, the place where you can find thousands of pictures and animations between Art and Science]
(CMAP28 WWW site: this page was created on 10/24/2000 and last updated on 11/14/2023 17:46:29 -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
1-949 reference(s)		 Jean-François COLONNA
2-587 reference(s)		 Artistic view of the prime numbers
3-542 reference(s)		 Quark and gluon structure of a nucleon
4-513 reference(s)
Quark and gluon dynamics of the nucleon
5-384 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
6-351 reference(s)		 The 16 most referenced pictures on 01/30/1996
7-350 reference(s)		 The Birth of the Universe
8-325 reference(s)
Artistic view of the Big Bang
9-313 reference(s)		 From Pluto to the Sun
10-300 reference(s)		 Cauliflowers, seaweeds, shells,... with fog
11-279 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
12-279 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
13-260 reference(s)		 The Lorenz attractor
14-257 reference(s)		 N-body problem integration (N=2)displaying a perfect Keplerian orbit
15-256 reference(s)		 Tridimensional fractal aggregates obtained by means of pasting during collisions of particles submitted to an attractive central field of gravity
16-254 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
17-249 reference(s)		 From the infinitely small to the infinitely big
18-245 reference(s)		 Mountains at sunrise
19-219 reference(s)		 Real numbers do not exist for a computer
20-207 reference(s)
Texture animation by means of the generalized Fourier filtering process
21-204 reference(s)		 Exploding tridimensional fractal aggregate
22-197 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)
23-197 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)
24-195 reference(s)
The particle trajectories of bidimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
25-187 reference(s)		 Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
26-187 reference(s)		 From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
27-178 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
28-173 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
29-171 reference(s)		 Electron-positron scattering
30-169 reference(s)		 Beyond the Gate
31-167 reference(s)		 Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
32-166 reference(s)
The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
33-164 reference(s)		 Animation of a sunrise on mountains
34-158 reference(s)		 N-body problem integration (N=3)with one yellow star and two planets (the red one being very heavy and the blue one being light)
35-158 reference(s)		 A twisting rope
36-156 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)
37-155 reference(s)		 Tridimensional visualization of a bidimensional turbulent flow
38-155 reference(s)		 Tridimensional display of the rounding-off errors when computing the Verhulst dynamics
39-151 reference(s)		 Alien
40-151 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
41-151 reference(s)		 Rotation about the Y (vertical)axis of a tridimensional fractal aggregates that can also be viewed as a set of 4x3 pseudo-stereograms
42-150 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
43-147 reference(s)		 Bidimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
44-147 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
45-146 reference(s)		 Zoom in on the von Koch curve
46-144 reference(s)		 Hypercube
47-144 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation
48-140 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)
49-138 reference(s)		 Bidimensional visualization of a bidimensional turbulent flow -sensitivity to initial conditions-
50-137 reference(s)		 Tridimensional zoom in on the Mandelbrot set
51-136 reference(s)		 Triple impossible staircase
52-135 reference(s)
Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
53-134 reference(s)		 Carnival in motion
54-132 reference(s)		 A variable Archimedes spiral displaying 1000 numbers
55-131 reference(s)		 The Mandelbrot set computed for 1 to 16 iterations with display of the arguments
56-131 reference(s)
A shell (Jeener surface 1)in motion
57-130 reference(s)		 Bidimensional zoom in on the Verhulst dynamics
58-129 reference(s)		 16 complex Julia sets
59-129 reference(s)		 Synthesis of bidimensional geometrical textures
60-129 reference(s)
Electron diffraction
61-129 reference(s)		 16 earth-like planets initially on the same keplerian trajectory
62-127 reference(s)		 Rotation about the X axis of the Lorenz attractor (1000 iterations), computed simultaneously on two different computers
63-126 reference(s)		 Texture animation by means of Fourier interpolation
64-126 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)-sensitivity to initial conditions-
65-125 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)
66-124 reference(s)		 Alien spacecrafts on the Moon
67-123 reference(s)		 Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
68-123 reference(s)
Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
69-121 reference(s)		 The random walk of photons escaping the Sun
70-120 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
71-120 reference(s)		 2 identical grey squares moving over a grey scale
72-119 reference(s)
Light cloud dynamics -this sequence being periodical-
73-119 reference(s)		 Texture animation by means of Fourier interpolation
74-119 reference(s)		 Exploding tridimensional fractal aggregate
75-118 reference(s)		 display of the inclination of two elliptic trajectories
76-118 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
77-118 reference(s)		 Artistic view of Ph(Zeta)
78-115 reference(s)		 Tridimensional display of 36 eigenstates of the Hydrogen atom (tridimensional computation)
79-114 reference(s)		 Zoom in on the von Koch curve
80-113 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
81-113 reference(s)		 Translation along the fourth axis of a quaternionic Julia set -tridimensional cross-sections-
82-113 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
83-111 reference(s)		 The Eratosthene sieve displaying 10x10 numbers
84-111 reference(s)
An Archimedes spiral displaying 1000 numbers
85-110 reference(s)		 N-body problem integration (N=9)with a simultaneous 2.pi rotation of the observer
86-110 reference(s)		 The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
87-108 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
88-108 reference(s)
Black and white display of a tridimensional function
89-108 reference(s)		 The velocity vectors -with a common origin- of the 9 planets of the Solar System during one plutonian year
90-108 reference(s)		 From à rectangle to the Boy surface
91-107 reference(s)		 Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
92-107 reference(s)
Bidimensional visualization of the Verhulst dynamics
93-107 reference(s)		 2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
94-107 reference(s)		 The iterative process used to generate bidimensional fractal fields (16 iterations)
95-107 reference(s)		 Rotation about the Y axis of the Boy surface with motion blur
96-106 reference(s)
Botticelli anomaly on the Moon
97-106 reference(s)		 The erection of the Babel Tower
98-106 reference(s)		 Mandelbrot set in the sky
99-106 reference(s)		 An arbitrary surface (Jeener surface 2)in motion
100-105 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
101-105 reference(s)		 Brownian motion of a few heavy slow particles inside a gaz of fast light particles
102-104 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
103-104 reference(s)		 Tridimensional fractal aggregates obtained by means of pasting during collisions of particles submitted to an attractive central field of gravity
104-102 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
105-101 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
106-101 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year as it is -without non linear scaling-
107-101 reference(s)		 Fractal diffusion front in a bidimensional medium obtained by means of identical interacting particles
108-100 reference(s)
Texture animation by means of Fourier filtering of a random walk process
109-100 reference(s)		 Rotation about the X axis of the Lorenz attractor
110-100 reference(s)		 A Lissajous surface
111-98 reference(s)		 Bidimensional fractal aggregates obtained by means of pasting during collisions of particles submitted to an attractive central field of gravity
112-98 reference(s)
Picture interpolation by means of the Generalized Product
113-98 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)
114-98 reference(s)		 Artistic view of a nucleon
115-98 reference(s)		 From Pluto to the Sun -extrapolation 1- (non linear scales)
116-97 reference(s)
The eye of God -an artistic view of the Solar System-
117-96 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
118-95 reference(s)		 From Pluto to the Sun
119-94 reference(s)		 Rotation about the X axis of the Lorenz attractor
120-94 reference(s)
The iterative process used to generate fractal mountains (16 iterations and bird's-eye view)
121-94 reference(s)		 From a sphere to the Boy surface
122-94 reference(s)		 White Hole
123-93 reference(s)		 Fractal diffusion front in a bidimensional medium obtained by means of identical interacting particles with spatial Fourier filtering
124-92 reference(s)
The Eratosthene sieve displaying 100x100 numbers
125-92 reference(s)		 From Mars to the Sun
126-92 reference(s)		 The actual Solar System viewed during 243 years from a dark blue virtual planet -this last one approximately belongs to the plane of Pluto and its distance from the Sun equals the one of Uranus-
127-91 reference(s)		 Artistic view of a 2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
128-91 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
11506 reference(s)		 2-An2000.01.Fra
2189 reference(s)
3-ImagesDuVirtuel.01.Fra
653 reference(s)		 4-present.01.
555 reference(s)
5-ExpV_VirE.Fra
506 reference(s)		 6-help.
491 reference(s)
7-display
447 reference(s)		 8-copyright.01.
432 reference(s)
9-Galerie_ArtAndScience.FV
387 reference(s)		 10-demo_14.FV
372 reference(s)
11-GenieLogiciel.01.Fra
359 reference(s)		 12-An2000.02.Fra
326 reference(s)
13-mail.01.vv
304 reference(s)		 14-ImagesDuVirtuel.01.Fra.FV
229 reference(s)
15-create.03.
221 reference(s)		 16-Galerie_CelestialMechanics.FV
218 reference(s)
17-Galerie_Astrophysics.FV
209 reference(s)		 18-Galerie_ArtisticCreation.FV
209 reference(s)
19-Galerie_BestOf.FV
207 reference(s)		 20-Galerie_DeterministicFractalGeometry.FV
183 reference(s)
21-AProposSite.01.Fra
181 reference(s)		 22-catalogue.11
180 reference(s)
23-VisSci_SciVis.01
180 reference(s)		 24-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
176 reference(s)
25-Galerie_NewPictures.FV
174 reference(s)		 26-Galerie_QuantumMechanics.FV
172 reference(s)
27-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
172 reference(s)		 28-Galerie_DeterministicChaos.FV
172 reference(s)
29-ExpV_VirE.Ang
172 reference(s)		 30-BEST.20000905
169 reference(s)
31-An2000.01.Ang
166 reference(s)		 32-AnimFractal.01.
160 reference(s)
33-Fractal.01
158 reference(s)		 34-Galerie_NumberTheory.FV
156 reference(s)
35-Galerie_FluidMechanics.FV
152 reference(s)		 36-An2000.05.Fra
144 reference(s)
37-Kepler.02.
140 reference(s)		 38-Galerie_TextureSynthesis.FV
130 reference(s)
39-Galerie_GeneralitiesVisualization.FV
128 reference(s)		 40-ExpV_VirE.01.Fra
126 reference(s)
41-RealNumbers.01.Fra
119 reference(s)		 42-An2000.06.Fra
116 reference(s)
43-Galerie_SignalProcessing.FV
115 reference(s)		 44-MonumentValley.01.Ang
114 reference(s)
45-ImpossibleStructures.01.Ang
111 reference(s)		 46-Galerie_CelestialMechanics
108 reference(s)
47-subject.01.
107 reference(s)		 48-Galerie_SensitivityToRoundingOffErrors.FV
106 reference(s)
49-DuReelAuVirtuel.01.Fra
104 reference(s)		 50-An2000.03.Fra
104 reference(s)
51-LOG_xiMc.11
103 reference(s)		 52-An2000.04.Fra
103 reference(s)
53-Vcatalogue.11
102 reference(s)		 54-MonumentValley.01.Fra
100 reference(s)
55-relativity.01.
99 reference(s)		 56-demo_14..m4.
99 reference(s)
57-ArtScience.01
99 reference(s)		 58-ManyChaos.01.Fra
97 reference(s)
59-Autostereograms.01.
94 reference(s)		 60-stereogra.01.c.
93 reference(s)
61-ImpossibleStructures.01.Fra
92 reference(s)		 62-ExpV_VirE.01.Ang
92 reference(s)
63-BEST.20000323
90 reference(s)		 64-infinity.01.vv
89 reference(s)
65-Spheres.01
89 reference(s)		 66-LumiereVirtuelleParadoxale.01
89 reference(s)
67-ManyChaos.01.Ang
88 reference(s)		 68-JFC
84 reference(s)
69-Ariane501.01.Fra
84 reference(s)		 70-BEST.20000717
81 reference(s)
71-hydrogene.61.K.
79 reference(s)		 72-IllusionConnaissance.01
79 reference(s)
73-ArtOrdinateur.01
79 reference(s)		 74-real.01.vv.
77 reference(s)
75-PatrimoineHumanite.02.Fra
75 reference(s)		 76-demo_14.FV..m4.
73 reference(s)
77-An2000.11.Fra
72 reference(s)		 78-BEST.20000403
71 reference(s)
79-Galerie_DeterministicChaos
70 reference(s)		 80-BEST.20000517
69 reference(s)
81-PresidentRepublique.01.Fra
59 reference(s)		 82-PourLaScience.01.Fra
59 reference(s)
83-Galerie_SensitivityToRoundingOffErrors
59 reference(s)		 84-genielogiciel.01.fra
57 reference(s)
85-PremierMinistre.01.Fra
57 reference(s)		 86-catalogue.11..m4.
56 reference(s)
87-InformatiqueProfessionnelle.01.Fra
54 reference(s)		 88-Galerie_SalonDAutomne.FV
54 reference(s)
89-MinistreEducationNationale.01.Fra
51 reference(s)		 90-AProposSite.01.Ang
46 reference(s)
91-real.02.
44 reference(s)		 92-PresidentRepublique.02.Fra
44 reference(s)
93-GenieLogiciel.01.Ang
44 reference(s)		 94-T_DuReelAuVirtuel_recherche.01.Fra.0001
43 reference(s)
95-verhulst.94.c.
42 reference(s)		 96-nCube.22.c.
41 reference(s)
97-jfc
41 reference(s)		 98-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0001
40 reference(s)
99-Galerie_DeterministicFractalGeometry
39 reference(s)		 100-relai.01.vA
38 reference(s)
101-nCube.21.I.
38 reference(s)		 102-T_DuReelAuVirtuel_recherche.01.Fra.0008
38 reference(s)
103-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0003
38 reference(s)		 104-RealNumbers.01.Ang
38 reference(s)
105-Galerie_GeneralitiesVisualization
38 reference(s)		 106-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0009
37 reference(s)
107-cerveau.01.vv.
36 reference(s)		 108-T_DuReelAuVirtuel_recherche.01.Fra.0009
36 reference(s)
109-T_DuReelAuVirtuel_recherche.01.Fra.0002
36 reference(s)		 110-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0006
36 reference(s)
111-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0010
36 reference(s)		 112-relai.01.vC
35 reference(s)
113-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0003
35 reference(s)		 114-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0001
34 reference(s)
115-T_DuReelAuVirtuel_ExpReelle.01.Fra.0002
34 reference(s)		 116-T_DuReelAuVirtuel_ExpReelle.01.Fra.0001
34 reference(s)
117-T_DuReelAuVirtuel_recherche.01.Fra.0011
33 reference(s)		 118-T_DuReelAuVirtuel_ExpReelle.01.Fra.0005
32 reference(s)
119-Galerie_BestOf
32 reference(s)		 120-T_DuReelAuVirtuel_recherche.01.Fra.0005
31 reference(s)
121-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0006
31 reference(s)		 122-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0005
31 reference(s)
123-T_DuReelAuVirtuel_ExpReelle.01.Fra.0004
31 reference(s)		 124-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
31 reference(s)
125-Galerie_ArtisticCreation
31 reference(s)		 126-Galerie_ArtAndScience
31 reference(s)
127-cerveau.01.vA.
30 reference(s)		 128-an2000.01.fra
30 reference(s)

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




Copyright © Jean-François COLONNA, 2000-2023.
Copyright © France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2000-2023.