Monthly Best Of on 12/05/2000




Zoom in 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 12/05/2000 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
1-917 reference(s)
Jean-François Colonna
2-501 reference(s)
Quark and gluon structure of a nucleon
3-497 reference(s)
Artistic view of the prime numbers
4-411 reference(s)
Quark and gluon dynamics of the nucleon
5-401 reference(s)
The 16 most referenced pictures on 01/30/1996
6-337 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
7-332 reference(s)
Artistic view of the Big Bang
8-289 reference(s)
From Pluto to the Sun (non linear scales)
9-280 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
10-256 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
11-253 reference(s)
From the infinitely small to the infinitely big
12-248 reference(s)
Cauliflowers, seaweeds, shells,... with fog
13-236 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
14-231 reference(s)
The Birth of the Universe
15-226 reference(s)
Hypercube
16-226 reference(s)
Mountains at sunrise
17-224 reference(s)
The Lorenz attractor
18-224 reference(s)
N-body problem integration (N=2)displaying a perfect Keplerian orbit
19-210 reference(s)
Exploding tridimensional fractal aggregate
20-208 reference(s)
Texture animation by means of the generalized Fourier filtering process
21-201 reference(s)
The Jeener's triple Klein bottle
22-198 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)
23-197 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
24-191 reference(s)
Beyond the Gate
25-184 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
26-172 reference(s)
Electron-positron scattering
27-170 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
28-166 reference(s)
Bidimensional visualization of a bidimensional turbulent flow -sensitivity to initial conditions-
29-165 reference(s)
Bidimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
30-163 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)
31-162 reference(s)
Cross-sections inside a tridimensional fractal aggregate
32-159 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
33-157 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
34-149 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
35-147 reference(s)
Animation of a sunrise on mountains
36-146 reference(s)
A shell (Jeener surface 1)in motion
37-141 reference(s)
Alien spacecrafts on the Moon
38-140 reference(s)
A twisting rope
39-139 reference(s)
Bidimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to an attractive central field of gravity
40-139 reference(s)
Double impossible staircase
41-139 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
42-137 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)
43-134 reference(s)
Artistic view of Ph(Zeta)
44-133 reference(s)
Zoom in on the von Koch curve
45-127 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)
46-127 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
47-125 reference(s)
The 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
48-124 reference(s)
Alien
49-124 reference(s)
Real numbers do not exist for a computer
50-123 reference(s)
Exploding tridimensional fractal aggregate
51-119 reference(s)
Paradoxal Monument Valley at sunset
52-119 reference(s)
The Mandelbrot set computed for 1 to 16 iterations with display of the arguments
53-119 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
54-119 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
55-115 reference(s)
2 identical grey squares moving over a grey scale
56-114 reference(s)
16 earth-like planets initially on the same keplerian trajectory
57-112 reference(s)
Mandelbrot set in the sky
58-112 reference(s)
Tridimensional zoom in on the Mandelbrot set
59-111 reference(s)
The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
60-111 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
61-109 reference(s)
Carnival in motion
62-108 reference(s)
N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation
63-107 reference(s)
Autostereogram with an hidden volcano and an animated disguise texture
64-106 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)
65-106 reference(s)
Electron diffraction
66-106 reference(s)
From Pluto to the Sun (linear scales)
67-105 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
68-104 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (tridimensional computation)
69-104 reference(s)
Texture animation by means of Fourier filtering of a random walk process
70-103 reference(s)
Artistic view of the Solar System viewed from a virtual planet
71-103 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)-sensitivity to initial conditions-
72-103 reference(s)
Bidimensional visualization of the Verhulst dynamics
73-103 reference(s)
Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
74-103 reference(s)
The random walk of photons escaping the Sun
75-102 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
76-102 reference(s)
Impossible structure
77-102 reference(s)
The eye of God -an artistic view of the Solar System-
78-101 reference(s)
The 16 most referenced pictures on 07/26/1996
79-101 reference(s)
Bidimensional zoom in on the Verhulst dynamics
80-100 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
81-99 reference(s)
Hodograph of the velocity vectors of the 9 planets of the Solar System during one plutonian year
82-98 reference(s)
display of the inclination of two elliptic trajectories
83-98 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)
84-98 reference(s)
The trajectories of bidimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to an attractive central field of gravity
85-96 reference(s)
Isotropic random walk of 64 particles on a bidimensional square lattice
86-96 reference(s)
16 complex Julia sets
87-96 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-
88-95 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
89-95 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year as it is -without non linear scaling-
90-93 reference(s)
Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
91-92 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
92-91 reference(s)
Isotropic random walk of 64 particles on a tridimensional square lattice
93-91 reference(s)
The Möbius strip
94-91 reference(s)
Zoom in on the von Koch curve
95-90 reference(s)
The erection of the Babel Tower
96-90 reference(s)
Cloud dynamics -this sequence being periodical, bird's-eye view-
97-90 reference(s)
An arbitrary surface (Jeener surface 2)in motion
98-90 reference(s)
Monument Valley at sunrise
99-89 reference(s)
Artistic view of the Hydrogen atom
100-89 reference(s)
Color display of a tridimensional function
101-88 reference(s)
Artistic view of a nucleon
102-88 reference(s)
Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
103-87 reference(s)
The snake swallows its own tail
104-87 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
105-86 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
106-86 reference(s)
Brownian motion of a few heavy slow particles inside a gaz of fast light particles
107-85 reference(s)
The journey of a sphere (dark blue)in a system of pure uniform concentric circular motions -moving point of view (dark blue)-
108-85 reference(s)
Translation along the fourth axis of a quaternionic Julia set -tridimensional cross-sections-
109-84 reference(s)
2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
110-84 reference(s)
Texture animation by means of Fourier interpolation
111-84 reference(s)
Very naive view (solar system-like)of the Hydrogen atom
112-84 reference(s)
The Eratosthene sieve displaying 10x10 numbers
113-83 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
114-83 reference(s)
Tridimensional display of one of the eigenstates (n=8,l=6)of the Hydrogen atom
115-83 reference(s)
Light cloud dynamics -this sequence being periodical-
116-82 reference(s)
From Mars to the Sun
117-82 reference(s)
Artistic view of 128 quaternionic Julia sets -tridimensional cross-sections-
118-82 reference(s)
Botticelli anomaly on the Moon
119-81 reference(s)
More and more craters on the Moon
120-81 reference(s)
The Gate
121-80 reference(s)
White Hole
122-80 reference(s)
Artistic view of the Verhulst dynamics
123-79 reference(s)
The Eratosthene sieve displaying 100x100 numbers
124-78 reference(s)
The iterative process used to generate bidimensional fractal fields (16 iterations)
125-78 reference(s)
The first two iterations of the construction of the von Koch curve
126-77 reference(s)
Tridimensional display of the rounding-off errors when computing the Verhulst dynamics
127-77 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
128-77 reference(s)




2-The 128 most referenced Pages:



1-demo_14
10676 reference(s)
2-An2000.01.Fra
1904 reference(s)
3-display
989 reference(s)
4-ImagesDuVirtuel.01.Fra
643 reference(s)
5-present.01.
505 reference(s)
6-ExpV_VirE.Fra
479 reference(s)
7-Galerie_ArtAndScience.FV
394 reference(s)
8-demo_14.FV
357 reference(s)
9-help.
321 reference(s)
10-GenieLogiciel.01.Fra
316 reference(s)
11-copyright.01.
294 reference(s)
12-An2000.02.Fra
269 reference(s)
13-Galerie_ArtisticCreation.FV
221 reference(s)
14-Galerie_CelestialMechanics.FV
205 reference(s)
15-Galerie_BestOf.FV
204 reference(s)
16-Galerie_Astrophysics.FV
203 reference(s)
17-mail.01.vv
189 reference(s)
18-Fractal.01
176 reference(s)
19-AnimFractal.01.
164 reference(s)
20-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
161 reference(s)
21-ImagesDuVirtuel.01.Fra.FV
160 reference(s)
22-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
157 reference(s)
23-Galerie_QuantumMechanics.FV
150 reference(s)
24-BEST.20001024
147 reference(s)
25-Galerie_DeterministicChaos.FV
146 reference(s)
26-Galerie_DeterministicFractalGeometry.FV
145 reference(s)
27-AProposSite.01.Fra
134 reference(s)
28-create.03.
132 reference(s)
29-VisSci_SciVis.01
125 reference(s)
30-An2000.01.Ang
125 reference(s)
31-Galerie_FluidMechanics.FV
122 reference(s)
32-Galerie_GeneralitiesVisualization.FV
120 reference(s)
33-Galerie_NumberTheory.FV
116 reference(s)
34-Galerie_NewPictures.FV
112 reference(s)
35-An2000.05.Fra
106 reference(s)
36-ExpV_VirE.Ang
102 reference(s)
37-catalogue.11
93 reference(s)
38-Galerie_TextureSynthesis.FV
87 reference(s)
39-Kepler.02.
85 reference(s)
40-ExpV_VirE.01.Fra
83 reference(s)
41-MonumentValley.01.Ang
80 reference(s)
42-Galerie_SignalProcessing.FV
80 reference(s)
43-RealNumbers.01.Fra
77 reference(s)
44-An2000.06.Fra
77 reference(s)
45-hydrogene.61.K.
76 reference(s)
46-Vcatalogue.11
75 reference(s)
47-JFC
75 reference(s)
48-ImpossibleStructures.01.Ang
75 reference(s)
49-stereogra.01.c.
74 reference(s)
50-MonumentValley.01.Fra
74 reference(s)
51-Autostereograms.01.
74 reference(s)
52-ArtScience.01
73 reference(s)
53-DuReelAuVirtuel.01.Fra
72 reference(s)
54-ExpV_VirE.01.Ang
70 reference(s)
55-Ariane501.01.Fra
70 reference(s)
56-infinity.01.vv
68 reference(s)
57-Galerie_SalonDAutomne.FV
68 reference(s)
58-AQuoiServentLesMathematiques.01
67 reference(s)
59-LOG_xiMc.11
65 reference(s)
60-BEST.20000323
65 reference(s)
61-subject.01.
64 reference(s)
62-demo_14.FV..m4.
63 reference(s)
63-Galerie_SensitivityToRoundingOffErrors.FV
63 reference(s)
64-An2000.11.Fra
62 reference(s)
65-ManyChaos.01.Fra
61 reference(s)
66-ManyChaos.01.Ang
59 reference(s)
67-relativity.01.
58 reference(s)
68-An2000.04.Fra
58 reference(s)
69-Spheres.01
55 reference(s)
70-BEST.20000905
55 reference(s)
71-BEST.20000403
54 reference(s)
72-demo_14..m4.
52 reference(s)
73-BEST.20000517
50 reference(s)
74-ArtOrdinateur.01
50 reference(s)
75-An2000.03.Fra
50 reference(s)
76-ImpossibleStructures.01.Fra
48 reference(s)
77-LumiereVirtuelleParadoxale.01
47 reference(s)
78-IllusionConnaissance.01
47 reference(s)
79-real.01.vv.
46 reference(s)
80-Galerie_DeterministicChaos
46 reference(s)
81-AProposSite.01.Ang
46 reference(s)
82-PresidentRepublique.01.Fra
45 reference(s)
83-BEST.20000717
45 reference(s)
84-Galerie_CelestialMechanics
44 reference(s)
85-GenieLogiciel.01.Ang
42 reference(s)
86-VisitesGaleriesEnfouies.01
40 reference(s)
87-T_DuReelAuVirtuel_ExpReelle.01.Fra.0002
39 reference(s)
88-RemarquesCerveau.01
39 reference(s)
89-real.02.
38 reference(s)
90-cerveau.01.vv.
38 reference(s)
91-verhulst.94.c.
37 reference(s)
92-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0001
37 reference(s)
93-T_DuReelAuVirtuel_recherche.01.Fra.0002
36 reference(s)
94-InformatiqueProfessionnelle.01.Fra
36 reference(s)
95-jfc
34 reference(s)
96-catalogue.11..m4.
34 reference(s)
97-an2000.01.fra
34 reference(s)
98-T_DuReelAuVirtuel_ExpReelle.01.Fra.0005
34 reference(s)
99-Galerie_NewPictures
34 reference(s)
100-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0003
33 reference(s)
101-PatrimoineHumanite.02.Fra
33 reference(s)
102-Galerie_GeneralitiesVisualization
33 reference(s)
103-T_DuReelAuVirtuel_recherche.01.Fra.0001
32 reference(s)
104-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0002
32 reference(s)
105-PremierMinistre.01.Fra
32 reference(s)
106-PourLaScience.01.Fra
32 reference(s)
107-MinistreEducationNationale.01.Fra
32 reference(s)
108-Galerie_DeterministicFractalGeometry
31 reference(s)
109-T_DuReelAuVirtuel_recherche.01.Fra.0003
30 reference(s)
110-T_DuReelAuVirtuel_ExpReelle.01.Fra.0001
30 reference(s)
111-Galerie_QuantumMechanics
30 reference(s)
112-nCube.21.I.
29 reference(s)
113-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0003
29 reference(s)
114-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0002
29 reference(s)
115-T_DuReelAuVirtuel_ExpReelle.01.Fra.0003
29 reference(s)
116-PresidentRepublique.02.Fra
29 reference(s)
117-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0001
28 reference(s)
118-RealNumbers.01.Ang
28 reference(s)
119-T_DuReelAuVirtuel_recherche.01.Fra.0004
27 reference(s)
120-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0004
27 reference(s)
121-Galerie_TextureSynthesis
27 reference(s)
122-T_DuReelAuVirtuel_recherche.01.Fra.0006
26 reference(s)
123-T_DuReelAuVirtuel_recherche.01.Fra.0008
25 reference(s)
124-T_DuReelAuVirtuel_recherche.01.Fra.0005
25 reference(s)
125-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0010
25 reference(s)
126-T_DuReelAuVirtuel_ExpReelle.01.Fra.0004
25 reference(s)
127-Galerie_SensitivityToRoundingOffErrors
25 reference(s)
128-T_DuReelAuVirtuel_recherche.01.Fra.0009
23 reference(s)

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




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.