Monthly Best Of on 09/05/2000




Bidimensional Hilbert Curve -iterations 1 to 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

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(CMAP28 WWW site: this page was created on 09/05/2000 and last updated on 10/03/2024 17:00:58 -CEST-)




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
1-424 reference(s)		Artistic view of the prime numbers
2-328 reference(s)		The Birth of the Universe
3-263 reference(s)		Particles in a bidimensional box submitted to a repulsive central field of gravity
4-260 reference(s)
Jean-François COLONNA
5-236 reference(s)		Quark and gluon structure of a nucleon
6-223 reference(s)		Quark and gluon dynamics of the nucleon
7-192 reference(s)		Artistic view of the Big Bang
8-166 reference(s)
The 16 most referenced pictures on 01/30/1996
9-151 reference(s)		Cauliflowers, seaweeds, shells,... with fog
10-146 reference(s)		Texture animation by means of the generalized Fourier filtering process
11-145 reference(s)		From the infinitely small to the infinitely big
12-145 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
13-140 reference(s)		N-body problem integration (N=2)displaying a perfect Keplerian orbit
14-138 reference(s)		From Pluto to the Sun
15-120 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
16-112 reference(s)
The Lorenz attractor
17-106 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)
18-105 reference(s)		A twisting rope
19-99 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
20-96 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
21-93 reference(s)		Real numbers do not exist for a computer
22-92 reference(s)		From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
23-91 reference(s)		Electron-positron scattering
24-90 reference(s)
A Lissajous surface
25-89 reference(s)		Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
26-89 reference(s)		The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
27-89 reference(s)		Carnival in motion
28-88 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
29-88 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)
30-87 reference(s)		The Mandelbrot set computed for 1 to 16 iterations with display of the arguments
31-87 reference(s)		The iterative process used to generate bidimensional fractal fields (16 iterations)
32-87 reference(s)
Mountains at sunrise
33-86 reference(s)		A perfect bidimensional piston with following initial conditions: still piston, high temperature particles at left and low temperature particles at right, in a bidimensional box submitted to a vertical field of gravity
34-85 reference(s)		Beyond the Gate
35-82 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)
36-81 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
37-81 reference(s)		The Eratosthene sieve displaying 10x10 numbers
38-80 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
39-78 reference(s)		Bidimensional visualization of a bidimensional turbulent flow -sensitivity to initial conditions-
40-78 reference(s)
N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation
41-77 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)
42-76 reference(s)		Texture animation by means of Fourier interpolation
43-76 reference(s)		Texture animation by means of Fourier interpolation
44-76 reference(s)
Bidimensional fractal aggregates obtained by means of pasting during collisions of particles submitted to an attractive central field of gravity
45-75 reference(s)		16 earth-like planets initially on the same keplerian trajectory
46-75 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)
47-74 reference(s)		Triple impossible staircase
48-74 reference(s)
Texture animation by means of Fourier filtering of a random walk process
49-73 reference(s)		An Archimedes spiral displaying 1000 numbers
50-73 reference(s)		Animation of a sunrise on mountains
51-73 reference(s)		Zoom in on the von Koch curve
52-72 reference(s)
Tridimensional fractal aggregates obtained by means of pasting during collisions of particles submitted to an attractive central field of gravity
53-72 reference(s)		Peace
54-71 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
55-71 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)
56-70 reference(s)
Tridimensional zoom in on the Mandelbrot set
57-69 reference(s)		Zoom in on a quaternionic Julia set -tridimensional cross-sections-
58-69 reference(s)		Isotropic random walk of 64 particles on a bidimensional square lattice
59-68 reference(s)		2 identical grey squares moving over a grey scale
60-68 reference(s)
Artistic view of a 2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
61-68 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
62-68 reference(s)		The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
63-66 reference(s)		display of the inclination of two elliptic trajectories
64-66 reference(s)
An arbitrary surface (Jeener surface 2)in motion
65-66 reference(s)		Liquid Jean-Francois COLONNA
66-66 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
67-65 reference(s)		Bidimensional fractal aggregates obtained by means of pasting during collisions of particles submitted to an attractive central field of gravity
68-65 reference(s)
The erection of the Babel Tower
69-65 reference(s)		From Mars to the Sun
70-65 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
71-65 reference(s)		Along the border of the Mandelbrot set
72-64 reference(s)
The trajectories of bidimensional fractal aggregates obtained by means of pasting during collisions of particles submitted to an attractive central field of gravity
73-64 reference(s)		Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
74-64 reference(s)		Artistic view of Ph(Zeta)
75-63 reference(s)		N-body problem integration (N=9)with a simultaneous 2.pi rotation of the observer
76-62 reference(s)
Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
77-62 reference(s)		Rotation about the X axis of the Lorenz attractor
78-62 reference(s)		Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
79-62 reference(s)		Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
80-62 reference(s)
Zoom in on the von Koch curve
81-61 reference(s)		The Eratosthene sieve displaying 100x100 numbers
82-61 reference(s)		Electron diffraction
83-61 reference(s)		The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
84-60 reference(s)
Brownian motion of a few heavy slow particles inside a gaz of fast light particles
85-60 reference(s)		16 complex Julia sets
86-60 reference(s)		Tridimensional visualization of a bidimensional turbulent flow
87-60 reference(s)		16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
88-59 reference(s)
Rotation about the Y axis of the Boy surface with motion blur
89-59 reference(s)		Picture interpolation by means of the Generalized Product
90-59 reference(s)		Waltzing Monument Valley
91-59 reference(s)		Dynamics of an erosion process (bird's-eye view)
92-59 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
93-59 reference(s)		Black and white display of a tridimensional function
94-59 reference(s)		Bidimensional zoom in on the Verhulst dynamics
95-59 reference(s)		2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
96-59 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
97-59 reference(s)		Tridimensional display of 36 eigenstates of the Hydrogen atom (tridimensional computation)
98-59 reference(s)		Rotation about the X axis of the Lorenz attractor (1000 iterations), computed simultaneously on two different computers
99-58 reference(s)		The wall-paper process
100-58 reference(s)
From a sphere to the Boy surface
101-58 reference(s)		Fractal diffusion front in a bidimensional medium obtained by means of identical interacting particles
102-57 reference(s)		Bidimensional visualization of the Verhulst dynamics
103-57 reference(s)		Translation along the fourth axis of a quaternionic Julia set -tridimensional cross-sections-
104-57 reference(s)
Bidimensional texture animation by means of the generalized Fourier filtering process and accumulation
105-56 reference(s)		The generalized Ulam spiral displaying 1024 numbers
106-56 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
107-56 reference(s)		N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)-sensitivity to initial conditions-
108-56 reference(s)
Depth of field effect with motion blur
109-56 reference(s)		Autostereogram with an hidden volcano and an animated disguise texture
110-55 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
111-55 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
112-55 reference(s)
Rotation about the Y axis of the 32 vertices of a 5-cube with fog
113-55 reference(s)		The normal field of a shell (Jeener surface 1)
114-55 reference(s)		The random walk of photons escaping the Sun
115-54 reference(s)		Earthquake (bird's-eye view)
116-54 reference(s)
The velocity vectors -with a common origin- of the 9 planets of the Solar System during one plutonian year
117-54 reference(s)		Rotation about the X axis of the Lorenz attractor
118-54 reference(s)		A shell (Jeener surface 1)in motion
119-54 reference(s)		Electron-neutrino scattering
120-54 reference(s)
Isotropic random walk of 64 particles on a tridimensional square lattice
121-53 reference(s)		The generalized Ulam spiral
122-53 reference(s)		The Möbius strip
123-53 reference(s)		A leaking bidimensional piston with following initial conditions: high temperature particles at left and low temperature particles at right
124-52 reference(s)
Non isotropic random walk of 64 particles on a bidimensional square lattice in a 'ring' potential
125-52 reference(s)		Botticelli anomaly on the Moon
126-52 reference(s)		From Pluto to the Sun -extrapolation 1- (non linear scales)
127-52 reference(s)		From Mars to the Sun -extrapolation-
128-52 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
5184 reference(s)		2-An2000.01.Fra
1143 reference(s)
3-display
568 reference(s)		4-ExpV_VirE.Fra
565 reference(s)
5-ImagesDuVirtuel.01.Fra
266 reference(s)		6-help.
257 reference(s)
7-demo_14.FV
249 reference(s)		8-present.01.
237 reference(s)
9-AProposSite.01.Fra
216 reference(s)		10-copyright.01.
203 reference(s)
11-Galerie_ArtAndScience.FV
195 reference(s)		12-GenieLogiciel.01.Fra
144 reference(s)
13-create.03.
142 reference(s)		14-ImagesDuVirtuel.01.Fra.FV
138 reference(s)
15-ExpV_VirE.Ang
138 reference(s)		16-Galerie_BestOf.FV
135 reference(s)
17-Galerie_CelestialMechanics.FV
134 reference(s)		18-Galerie_ArtisticCreation.FV
131 reference(s)
19-mail.01.vv
128 reference(s)		20-An2000.02.Fra
126 reference(s)
21-Galerie_Astrophysics.FV
121 reference(s)		22-Galerie_DeterministicChaos.FV
119 reference(s)
23-An2000.01.Ang
118 reference(s)		24-Galerie_NewPictures.FV
105 reference(s)
25-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
102 reference(s)		26-Galerie_FluidMechanics.FV
102 reference(s)
27-Galerie_DeterministicFractalGeometry.FV
102 reference(s)		28-VisSci_SciVis.01
97 reference(s)
29-Galerie_QuantumMechanics.FV
97 reference(s)		30-AnimFractal.01.
97 reference(s)
31-BEST.20000717
96 reference(s)		32-Galerie_NumberTheory.FV
95 reference(s)
33-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
95 reference(s)		34-catalogue.11
94 reference(s)
35-Fractal.01
91 reference(s)		36-Galerie_GeneralitiesVisualization.FV
89 reference(s)
37-Galerie_TextureSynthesis.FV
88 reference(s)		38-Kepler.02.
84 reference(s)
39-ManyChaos.01.Fra
77 reference(s)		40-ExpV_VirE.01.Fra
77 reference(s)
41-subject.01.
76 reference(s)		42-an2000.01.fra
76 reference(s)
43-MonumentValley.01.Fra
75 reference(s)		44-ExpV_VirE.01.Ang
75 reference(s)
45-Galerie_SensitivityToRoundingOffErrors.FV
74 reference(s)		46-ImpossibleStructures.01.Ang
72 reference(s)
47-Galerie_SignalProcessing.FV
71 reference(s)		48-DuReelAuVirtuel.01.Fra
70 reference(s)
49-An2000.06.Fra
67 reference(s)		50-An2000.03.Fra
67 reference(s)
51-relativity.01.
66 reference(s)		52-An2000.05.Fra
66 reference(s)
53-MonumentValley.01.Ang
65 reference(s)		54-LOG_xiMc.11
65 reference(s)
55-RealNumbers.01.Fra
64 reference(s)		56-infinity.01.vv
63 reference(s)
57-......demo
62 reference(s)		58-An2000.04.Fra
61 reference(s)
59-Spheres.01
60 reference(s)		60-stereogra.01.c.
58 reference(s)
61-ArtOrdinateur.01
58 reference(s)		62-Vcatalogue.11
57 reference(s)
63-Autostereograms.01.
57 reference(s)		64-ManyChaos.01.Ang
56 reference(s)
65-ImpossibleStructures.01.Fra
55 reference(s)		66-Galerie_DeterministicChaos
55 reference(s)
67-demo_14..m4.
54 reference(s)		68-Galerie_CelestialMechanics
54 reference(s)
69-BEST.20000323
54 reference(s)		70-ArtScience.01
53 reference(s)
71-LumiereVirtuelleParadoxale.01
52 reference(s)		72-PatrimoineHumanite.02.Fra
51 reference(s)
73-JFC
51 reference(s)		74-IllusionConnaissance.01
51 reference(s)
75-demo_14.FV..m4.
49 reference(s)		76-Ariane501.01.Fra
49 reference(s)
77-real.01.vv.
47 reference(s)		78-BEST.20000403
46 reference(s)
79-An2000.11.Fra
44 reference(s)		80-hydrogene.61.K.
42 reference(s)
81-BEST.20000517
41 reference(s)		82-catalogue.11..m4.
40 reference(s)
83-Galerie_SensitivityToRoundingOffErrors
38 reference(s)		84-AProposSite.01.Ang
37 reference(s)
85-Galerie_DeterministicFractalGeometry
36 reference(s)		86-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0003
35 reference(s)
87-PremierMinistre.01.Fra
35 reference(s)		88-PourLaScience.01.Fra
34 reference(s)
89-nCube.22.c.
33 reference(s)		90-real.02.
32 reference(s)
91-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0006
32 reference(s)		92-PresidentRepublique.01.Fra
32 reference(s)
93-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
32 reference(s)		94-verhulst.94.c.
30 reference(s)
95-relai.01.vA
30 reference(s)		96-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0010
30 reference(s)
97-PresidentRepublique.02.Fra
30 reference(s)		98-MinistreEducationNationale.01.Fra
30 reference(s)
99-GenieLogiciel.01.Ang
30 reference(s)		100-T_DuReelAuVirtuel_recherche.01.Fra.0008
29 reference(s)
101-InformatiqueProfessionnelle.01.Fra
29 reference(s)		102-Galerie_GeneralitiesVisualization
28 reference(s)
103-relai.01.vB
27 reference(s)		104-T_DuReelAuVirtuel_recherche.01.Fra.0009
27 reference(s)
105-T_DuReelAuVirtuel_ExpReelle.01.Fra.0004
27 reference(s)		106-nCube.21.I.
26 reference(s)
107-T_DuReelAuVirtuel_recherche.01.Fra.0011
26 reference(s)		108-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0009
26 reference(s)
109-relai.01.vC
25 reference(s)		110-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0004
25 reference(s)
111-RealNumbers.01.Ang
25 reference(s)		112-Galerie_ArtisticCreation
25 reference(s)
113-relai.01.vv
24 reference(s)		114-cerveau.01.vv.
24 reference(s)
115-T_DuReelAuVirtuel_recherche.01.Fra.0005
24 reference(s)		116-T_DuReelAuVirtuel_recherche.01.Fra.0002
24 reference(s)
117-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0001
24 reference(s)		118-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0008
24 reference(s)
119-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0004
24 reference(s)		120-Galerie_TextureSynthesis
24 reference(s)
121-Galerie_ArtAndScience
24 reference(s)		122-cerveau.01.vA.
23 reference(s)
123-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0006
23 reference(s)		124-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0005
23 reference(s)
125-T_DuReelAuVirtuel_ExpReelle.01.Fra.0005
23 reference(s)		126-Galerie_SignalProcessing
23 reference(s)
127-Galerie_Astrophysics
23 reference(s)		128-infinity.01
22 reference(s)

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Copyright © Jean-François COLONNA, 2000-2024.
Copyright © France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2000-2024.