Monthly Best Of on 04/03/2000




A fractal surface (eight iterations)defined by means of three bidimensional fields

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 04/03/2000 and last updated on 10/03/2024 17:00:51 -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
1-1120 reference(s)		From Pluto to the Sun
2-640 reference(s)		Quark and gluon structure of a nucleon
3-563 reference(s)		Artistic view of the prime numbers
4-553 reference(s)
Jean-François COLONNA
5-535 reference(s)		Quark and gluon dynamics of the nucleon
6-416 reference(s)		Artistic view of the Big Bang
7-397 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
8-397 reference(s)
The Birth of the Universe
9-324 reference(s)		The 16 most referenced pictures on 01/30/1996
10-322 reference(s)		The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
11-317 reference(s)		The same bidimensional scalar field displayed with 4 different color palettes
12-288 reference(s)
From the infinitely small to the infinitely big
13-280 reference(s)		Mountains at sunrise
14-275 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
15-268 reference(s)		Cauliflowers, seaweeds, shells,... with fog
16-265 reference(s)
World Mathematical Year 2000
17-260 reference(s)		The Lorenz attractor
18-258 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
19-246 reference(s)		N-body problem integration (N=2)displaying a perfect Keplerian orbit
20-226 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
21-223 reference(s)		Psychedelic hypercube
22-216 reference(s)		The 16 most referenced pictures on 12/08/1999
23-211 reference(s)		A leaking bidimensional piston with following initial conditions: high temperature particles at left and low temperature particles at right
24-208 reference(s)
Triple impossible staircase
25-204 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)
26-203 reference(s)		Dynamics of archimedian mountains (bird's-eye view)
27-202 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)
28-197 reference(s)
Happy new year 2000
29-195 reference(s)		Alien
30-192 reference(s)		Beyond the Gate
31-191 reference(s)		Real numbers do not exist for a computer
32-184 reference(s)
Texture animation by means of the generalized Fourier filtering process
33-183 reference(s)		The Eratosthene sieve displaying 10x10 numbers
34-180 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
35-176 reference(s)		Electron-positron scattering
36-176 reference(s)
Animation of a sunrise on mountains
37-171 reference(s)		Psychedelic hypercube
38-170 reference(s)		The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
39-169 reference(s)		Self-similar zoom in on tridimensional fractal structure
40-168 reference(s)
N-dimensional random structure
41-166 reference(s)		The Mandelbrot set computed for 1 to 16 iterations with display of the arguments
42-166 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)
43-164 reference(s)		Tridimensional fractal aggregate with variable fractal dimension -increasing from front to back-
44-160 reference(s)
Alien spacecrafts on the Moon
45-156 reference(s)		A shell (Jeener surface 1)in motion
46-156 reference(s)		Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
47-153 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
48-151 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
49-149 reference(s)		Tridimensional zoom in on the Mandelbrot set
50-148 reference(s)		A porous membrane with following initial conditions: high temperature particles at left and low temperature particles at right
51-145 reference(s)		Archimedian mountains (bird's-eye view)
52-145 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
53-145 reference(s)		Tridimensional visualization of a bidimensional turbulent flow
54-145 reference(s)		Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
55-144 reference(s)		Two identical grey rectangles in front of a grey scale
56-143 reference(s)
Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
57-142 reference(s)		Electron diffraction
58-138 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
59-136 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
60-136 reference(s)
Meteor Crater
61-135 reference(s)		Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
62-132 reference(s)		Zoom in on the von Koch curve
63-131 reference(s)		Diffusion between two boxes (initial conditions: the left one is empty, the right one contains 256 particles), with collisions and display of the gravity center -white particle-
64-130 reference(s)
Artistic view of a 2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
65-130 reference(s)		Artistic view of Ph(Zeta)
66-129 reference(s)		The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
67-129 reference(s)		The iterative process used to generate bidimensional fractal fields (16 iterations)
68-129 reference(s)
2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
69-127 reference(s)		From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
70-126 reference(s)		Along the border of the Mandelbrot set
71-126 reference(s)		Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
72-126 reference(s)
A quaternionic Julia set -tridimensional cross-section-
73-126 reference(s)		Cloud dynamics -this sequence being periodical- (bird's-eye view)
74-125 reference(s)		N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation
75-124 reference(s)		Mandelbrot set in the sky
76-124 reference(s)
Rotation about the X axis of the Lorenz attractor
77-123 reference(s)		A twisting rope
78-122 reference(s)		Animation of a natural form
79-122 reference(s)		Bidimensional zoom in on the Verhulst dynamics
80-122 reference(s)
Reconstruction of a 2D structure -the map of France-
81-121 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
82-121 reference(s)		Fractal synthesis of mountains with vegetation and stormy clouds
83-121 reference(s)		Impossible structure
84-120 reference(s)
Bidimensional visualization of the Verhulst dynamics
85-119 reference(s)		The first two iterations of the construction of the von Koch curve
86-118 reference(s)		The Möbius strip
87-118 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)
88-118 reference(s)
16 earth-like planets initially on the same keplerian trajectory
89-117 reference(s)		Brownian motion of a few heavy slow particles inside a gaz of fast light particles
90-116 reference(s)		Rotation about the X axis of the Lorenz attractor (1000 iterations), computed simultaneously on two different computers
91-116 reference(s)		Isotropic random walk of 64 particles on a bidimensional square lattice
92-114 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-
93-114 reference(s)		Particle collisions without energy loss in a tridimensional space with display of the velocity histogram
94-113 reference(s)		Light cloud dynamics -this sequence being periodical-
95-113 reference(s)		Artistic view of 128 quaternionic Julia sets -tridimensional cross-sections-
96-111 reference(s)
The snake swallows its own tail
97-111 reference(s)		Artistic view of a nucleon
98-111 reference(s)		Electron-neutrino scattering
99-110 reference(s)		Rotation about the X axis of the Lorenz attractor
100-109 reference(s)
White Hole
101-109 reference(s)		2 identical grey squares moving over a grey scale
102-108 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)
103-108 reference(s)		From Mars to the Sun -extrapolation-
104-107 reference(s)
The random walk of photons escaping the Sun
105-106 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
106-106 reference(s)		Happy new year 2000
107-106 reference(s)		Tridimensional display of one of the eigenstates (n=8,l=6)of the Hydrogen atom
108-105 reference(s)
Carnival in motion
109-104 reference(s)		Tridimensional fractal structure in a tridimensional torus
110-104 reference(s)		The Klein bottle in motion
111-104 reference(s)		Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
112-103 reference(s)
Artistic view of the Hydrogen atom
113-103 reference(s)		The eye of God -an artistic view of the Solar System-
114-101 reference(s)		display of the inclination of two elliptic trajectories
115-101 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
116-101 reference(s)
Texture animation by means of Fourier interpolation
117-101 reference(s)		Translation along the fourth axis of a quaternionic Julia set -tridimensional cross-sections-
118-100 reference(s)		N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)-sensitivity to initial conditions-
119-99 reference(s)		Fractal self-portrait
120-99 reference(s)
Synthesis of bidimensional geometrical textures
121-99 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year as it is -without non linear scaling-
122-98 reference(s)		Artistic view of the Solar System viewed from a virtual planet
123-98 reference(s)		Bidimensional domino effect
124-97 reference(s)
Peace
125-97 reference(s)		N-dimensional random structure
126-97 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
127-97 reference(s)		Particle collisions with energy loss in a tridimensional space with display of the velocity histogram
128-96 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
11105 reference(s)		2-An2000.01.Fra
7607 reference(s)
3-display
1549 reference(s)		4-demo_14.FV
510 reference(s)
5-ImagesDuVirtuel.01.Fra
483 reference(s)		6-ExpV_VirE.Fra
354 reference(s)
7-ImagesDuVirtuel.01.Fra.FV
342 reference(s)		8-Spheres.01
318 reference(s)
9-GenieLogiciel.01.Fra
305 reference(s)		10-An2000.02.Fra
290 reference(s)
11-copyright.01.
277 reference(s)		12-help.
270 reference(s)
13-present.01.
260 reference(s)		14-Fractal.01
221 reference(s)
15-ExpV_VirE.Ang
183 reference(s)		16-AnimFractal.01.
181 reference(s)
17-AProposSite.01.Fra
172 reference(s)		18-VisSci_SciVis.01
164 reference(s)
19-catalogue.11
153 reference(s)		20-ExpV_VirE.01.Ang
152 reference(s)
21-Vcatalogue.11
151 reference(s)		22-ManyChaos.01.Fra
149 reference(s)
23-An2000.01.Ang
144 reference(s)		24-mail.01.vv
142 reference(s)
25-infinity.05
142 reference(s)		26-RealNumbers.01.Fra
140 reference(s)
27-JFC
139 reference(s)		28-MonumentValley.01.Ang
136 reference(s)
29-ImpossibleStructures.01.Ang
129 reference(s)		30-Galerie_ArtAndScience.FV
128 reference(s)
31-Kepler.02.
126 reference(s)		32-create.03.
123 reference(s)
33-MonumentValley.01.Fra
123 reference(s)		34-DuReelAuVirtuel.01.Fra
123 reference(s)
35-ManyChaos.01.Ang
119 reference(s)		36-LOG_xiMc.11
119 reference(s)
37-infinity.03
115 reference(s)		38-ImpossibleStructures.01.Fra
114 reference(s)
39-ExpV_VirE.01.Fra
114 reference(s)		40-An2000.04.Fra
106 reference(s)
41-An2000.03.Fra
106 reference(s)		42-Ariane501.01.Fra
105 reference(s)
43-relativity.01.
102 reference(s)		44-Galerie_ArtAndScience
101 reference(s)
45-An2000.11.Fra
101 reference(s)		46-ArtOrdinateur.01
99 reference(s)
47-LumiereVirtuelleParadoxale.01
93 reference(s)		48-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0006
89 reference(s)
49-GenieLogiciel.01.Ang
89 reference(s)		50-subject.01.
85 reference(s)
51-relai.01.vv
82 reference(s)		52-PremierMinistre.01.Fra
82 reference(s)
53-IllusionConnaissance.01
82 reference(s)		54-an2000.01.fra
81 reference(s)
55-real.02.
79 reference(s)		56-infinity.04
79 reference(s)
57-An2000.05.Fra
79 reference(s)		58-ArtScience.01
77 reference(s)
59-An2000.06.Fra
76 reference(s)		60-T_DuReelAuVirtuel_recherche.01.Fra.0001
73 reference(s)
61-Galerie_BestOf.FV
73 reference(s)		62-stereogra.01.c.
71 reference(s)
63-PresidentRepublique.02.Fra
70 reference(s)		64-Galerie_CelestialMechanics.FV
70 reference(s)
65-Galerie_Astrophysics.FV
68 reference(s)		66-PresidentRepublique.01.Fra
67 reference(s)
67-InformatiqueProfessionnelle.01.Fra
67 reference(s)		68-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0002
66 reference(s)
69-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0001
64 reference(s)		70-MinistreEducationNationale.01.Fra
64 reference(s)
71-T_DuReelAuVirtuel_recherche.01.Fra.0003
63 reference(s)		72-T_DuReelAuVirtuel_ExpReelle.01.Fra.0003
63 reference(s)
73-T_DuReelAuVirtuel_ExpReelle.01.Fra.0002
63 reference(s)		74-Galerie_ArtisticCreation.FV
63 reference(s)
75-infinity.01
62 reference(s)		76-Galerie_NewPictures.FV
62 reference(s)
77-T_DuReelAuVirtuel_recherche.01.Fra.0005
61 reference(s)		78-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0005
61 reference(s)
79-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0004
61 reference(s)		80-T_DuReelAuVirtuel_ExpReelle.01.Fra.0001
61 reference(s)
81-RealNumbers.01.Ang
60 reference(s)		82-PourLaScience.01.Fra
60 reference(s)
83-Galerie_DeterministicFractalGeometry.FV
60 reference(s)		84-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0004
59 reference(s)
85-infinity.02
58 reference(s)		86-T_DuReelAuVirtuel_ExpReelle.01.Fra.0000
58 reference(s)
87-relai_universel.01.vv
57 reference(s)		88-relai_universel.01.vA
57 reference(s)
89-Galerie_QuantumMechanics.FV
56 reference(s)		90-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0005
55 reference(s)
91-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0003
55 reference(s)		92-relai.01.vC
54 reference(s)
93-relai.01.vA
54 reference(s)		94-T_DuReelAuVirtuel_recherche.01.Fra.0008
54 reference(s)
95-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0002
54 reference(s)		96-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0001
54 reference(s)
97-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0007
54 reference(s)		98-AProposSite.01.Ang
54 reference(s)
99-T_DuReelAuVirtuel_recherche.01.Fra.0011
53 reference(s)		100-T_DuReelAuVirtuel_recherche.01.Fra.0010
53 reference(s)
101-T_DuReelAuVirtuel_recherche.01.Fra.0006
53 reference(s)		102-T_DuReelAuVirtuel_recherche.01.Fra.0000
53 reference(s)
103-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0003
53 reference(s)		104-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0000
53 reference(s)
105-relai_universel.01.vB
52 reference(s)		106-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0006
51 reference(s)
107-relai.01.vB
50 reference(s)		108-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0008
50 reference(s)
109-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0009
49 reference(s)		110-T_DuReelAuVirtuel_recherche.01.Fra.0007
48 reference(s)
111-T_DuReelAuVirtuel_recherche.01.Fra.0004
48 reference(s)		112-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0000
48 reference(s)
113-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0010
48 reference(s)		114-Galerie_TextureSynthesis.FV
48 reference(s)
115-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
48 reference(s)		116-Galerie_FluidMechanics.FV
48 reference(s)
117-Galerie_NumberTheory.FV
47 reference(s)		118-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
47 reference(s)
119-Galerie_DeterministicChaos.FV
47 reference(s)		120-T_DuReelAuVirtuel_recherche.01.Fra.0009
46 reference(s)
121-demo_14..m4.
45 reference(s)		122-cerveau.01.vv.
45 reference(s)
123-T_DuReelAuVirtuel_ExpReelle.01.Fra.0005
45 reference(s)		124-T_DuReelAuVirtuel_ExpReelle.01.Fra.0004
45 reference(s)
125-Galerie_BestOf
45 reference(s)		126-Galerie_NewPictures
44 reference(s)
127-Galerie_Astrophysics
44 reference(s)		128-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
43 reference(s)

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




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.