Monthly Best Of on 04/03/2000




Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-

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

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(CMAP28 WWW site: this page was created on 04/03/2000 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
1-1120 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)
Double 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
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)
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:



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
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72-T_DuReelAuVirtuel_ExpReelle.01.Fra.0003
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73-T_DuReelAuVirtuel_ExpReelle.01.Fra.0002
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74-Galerie_ArtisticCreation.FV
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75-infinity.01
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76-Galerie_NewPictures.FV
62 reference(s)
77-T_DuReelAuVirtuel_recherche.01.Fra.0005
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78-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0005
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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
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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
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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
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100-T_DuReelAuVirtuel_recherche.01.Fra.0010
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101-T_DuReelAuVirtuel_recherche.01.Fra.0006
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102-T_DuReelAuVirtuel_recherche.01.Fra.0000
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103-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0003
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104-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0000
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105-relai_universel.01.vB
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106-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0006
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107-relai.01.vB
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108-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0008
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109-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0009
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110-T_DuReelAuVirtuel_recherche.01.Fra.0007
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111-T_DuReelAuVirtuel_recherche.01.Fra.0004
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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
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121-demo_14..m4.
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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)

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Copyright (c) Jean-François Colonna, 2000-2018.
Copyright (c) France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2000-2018.