Monthly Best Of on 03/23/2000




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

Jean-François COLONNA
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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 03/23/2000 and last updated on 10/03/2024 17:00:50 -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
1-1437 reference(s)		Quark and gluon structure of a nucleon
2-781 reference(s)		Artistic view of the prime numbers
3-772 reference(s)		From Pluto to the Sun
4-740 reference(s)
Jean-François COLONNA
5-727 reference(s)		Quark and gluon dynamics of the nucleon
6-609 reference(s)		Artistic view of the Big Bang
7-542 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
8-523 reference(s)
The Birth of the Universe
9-455 reference(s)		The 16 most referenced pictures on 01/30/1996
10-439 reference(s)		A leaking bidimensional piston with following initial conditions: high temperature particles at left and low temperature particles at right
11-427 reference(s)		From the infinitely small to the infinitely big
12-427 reference(s)
The 16 most referenced pictures on 12/08/1999
13-418 reference(s)		From Pluto to the Sun
14-409 reference(s)		Psychedelic hypercube
15-404 reference(s)		Happy new year 2000
16-388 reference(s)
Mountains at sunrise
17-386 reference(s)		Cauliflowers, seaweeds, shells,... with fog
18-384 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
19-376 reference(s)		The Lorenz attractor
20-374 reference(s)
The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
21-323 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
22-323 reference(s)		The same bidimensional scalar field displayed with 4 different color palettes
23-314 reference(s)		N-body problem integration (N=2)displaying a perfect Keplerian orbit
24-300 reference(s)
Tridimensional fractal aggregate with variable fractal dimension -increasing from front to back-
25-297 reference(s)		Psychedelic hypercube
26-296 reference(s)		Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
27-294 reference(s)		N-dimensional random structure
28-291 reference(s)
Meteor Crater
29-285 reference(s)		Triple impossible staircase
30-281 reference(s)		Alien
31-270 reference(s)		The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
32-269 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)
33-264 reference(s)		Beyond the Gate
34-259 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
35-259 reference(s)		A porous membrane with following initial conditions: high temperature particles at left and low temperature particles at right
36-258 reference(s)
Texture animation by means of the generalized Fourier filtering process
37-258 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)
38-255 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)
39-249 reference(s)		Animation of a sunrise on mountains
40-243 reference(s)
Electron-positron scattering
41-241 reference(s)		Real numbers do not exist for a computer
42-240 reference(s)		Tridimensional visualization of a bidimensional turbulent flow
43-230 reference(s)		The Mandelbrot set computed for 1 to 16 iterations with display of the arguments
44-229 reference(s)
Self-similar zoom in on tridimensional fractal structure
45-225 reference(s)		The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
46-221 reference(s)		A shell (Jeener surface 1)in motion
47-217 reference(s)		Mountains and light cloud dynamics -this sequence being periodical-
48-211 reference(s)
Alien spacecrafts on the Moon
49-210 reference(s)		Tridimensional zoom in on the Mandelbrot set
50-210 reference(s)		The Eratosthene sieve displaying 10x10 numbers
51-206 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
52-204 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
53-201 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
54-196 reference(s)		Mandelbrot set in the sky
55-194 reference(s)		Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
56-194 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
57-193 reference(s)		Tridimensional visualization of a bidimensional turbulent flow
58-192 reference(s)		Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
59-188 reference(s)		Zoom in on the von Koch curve
60-186 reference(s)
World Mathematical Year 2000
61-185 reference(s)		Happy new year 2000
62-184 reference(s)		N-dimensional random structure
63-183 reference(s)		Happy new year 2000
64-182 reference(s)
Impossible structure
65-178 reference(s)		The iterative process used to generate bidimensional fractal fields (16 iterations)
66-177 reference(s)		Artistic view of Ph(Zeta)
67-176 reference(s)		Carnival in motion
68-176 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
69-175 reference(s)		A twisting rope
70-174 reference(s)		N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation
71-174 reference(s)		Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
72-172 reference(s)
16 earth-like planets initially on the same keplerian trajectory
73-170 reference(s)		The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
74-170 reference(s)		Electron diffraction
75-169 reference(s)		Animation of a natural form
76-167 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)
77-166 reference(s)		Rotation about the X axis of the Lorenz attractor
78-166 reference(s)		Along the border of the Mandelbrot set
79-164 reference(s)		The random walk of photons escaping the Sun
80-164 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
81-163 reference(s)		Cloud dynamics -this sequence being periodical- (bird's-eye view)
82-163 reference(s)		Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
83-163 reference(s)		Artistic view of a nucleon
84-163 reference(s)
Artistic view of a 2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
85-161 reference(s)		A quaternionic Julia set -tridimensional cross-section-
86-160 reference(s)		The first two iterations of the construction of the von Koch curve
87-159 reference(s)		Bidimensional visualization of the Verhulst dynamics
88-159 reference(s)
Happy new year 2000
89-159 reference(s)		White Hole
90-156 reference(s)		Peace
91-155 reference(s)		Brownian motion of a few heavy slow particles inside a gaz of fast light particles
92-154 reference(s)
The snake swallows its own tail
93-154 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
94-153 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-
95-153 reference(s)		16 complex Julia sets
96-152 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-
97-151 reference(s)		Isotropic random walk of 64 particles on a bidimensional square lattice
98-151 reference(s)		Light cloud dynamics -this sequence being periodical-
99-151 reference(s)		Artistic view of 128 quaternionic Julia sets -tridimensional cross-sections-
100-151 reference(s)
The eye of God -an artistic view of the Solar System-
101-149 reference(s)		Bidimensional zoom in on the Verhulst dynamics
102-149 reference(s)		Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
103-147 reference(s)		The Klein bottle in motion
104-146 reference(s)
2 identical grey squares moving over a grey scale
105-145 reference(s)		Tridimensional display of one of the eigenstates (n=8,l=6)of the Hydrogen atom
106-144 reference(s)		Electron-neutrino scattering
107-144 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
108-143 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
109-141 reference(s)		Artistic view of the Hydrogen atom
110-141 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)
111-140 reference(s)		Texture animation by means of Fourier interpolation
112-140 reference(s)
Reconstruction of a 2D structure -the map of France-
113-139 reference(s)		The Möbius strip
114-139 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
115-139 reference(s)		Translation along the fourth axis of a quaternionic Julia set -tridimensional cross-sections-
116-139 reference(s)
2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
117-139 reference(s)		Artistic view of the Solar System viewed from a virtual planet
118-138 reference(s)		Very naive view (solar system-like)of the Hydrogen atom
119-138 reference(s)		Tridimensional fractal structure in a tridimensional torus
120-138 reference(s)
Two identical grey rectangles in front of a grey scale
121-137 reference(s)		N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)-sensitivity to initial conditions-
122-137 reference(s)		Synthesis of bidimensional geometrical textures
123-136 reference(s)		display of the inclination of two elliptic trajectories
124-133 reference(s)
16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
125-132 reference(s)		Happy new year 2000
126-130 reference(s)		Animation of a quaternionic Julia island
127-129 reference(s)		Bidimensional visualization of a bidimensional turbulent flow -sensitivity to initial conditions-
128-129 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
13119 reference(s)		2-An2000.01.Fra
8698 reference(s)
3-display
1625 reference(s)		4-ImagesDuVirtuel.01.Fra
719 reference(s)
5-demo_14.FV
625 reference(s)		6-ImagesDuVirtuel.01.Fra.FV
479 reference(s)
7-ExpV_VirE.Fra
466 reference(s)		8-GenieLogiciel.01.Fra
428 reference(s)
9-copyright.01.
412 reference(s)		10-present.01.
382 reference(s)
11-Spheres.01
377 reference(s)		12-help.
375 reference(s)
13-An2000.02.Fra
374 reference(s)		14-Fractal.01
306 reference(s)
15-ExpV_VirE.Ang
297 reference(s)		16-AnimFractal.01.
276 reference(s)
17-ExpV_VirE.01.Ang
252 reference(s)		18-Vcatalogue.11
251 reference(s)
19-VisSci_SciVis.01
250 reference(s)		20-AProposSite.01.Fra
241 reference(s)
21-ManyChaos.01.Fra
232 reference(s)		22-mail.01.vv
223 reference(s)
23-An2000.01.Ang
219 reference(s)		24-infinity.05
215 reference(s)
25-ImpossibleStructures.01.Ang
213 reference(s)		26-MonumentValley.01.Ang
211 reference(s)
27-Kepler.02.
200 reference(s)		28-catalogue.11
199 reference(s)
29-ManyChaos.01.Ang
197 reference(s)		30-ExpV_VirE.01.Fra
196 reference(s)
31-RealNumbers.01.Fra
193 reference(s)		32-JFC
190 reference(s)
33-DuReelAuVirtuel.01.Fra
189 reference(s)		34-infinity.03
187 reference(s)
35-LOG_xiMc.11
180 reference(s)		36-MonumentValley.01.Fra
173 reference(s)
37-ImpossibleStructures.01.Fra
168 reference(s)		38-An2000.11.Fra
164 reference(s)
39-create.03.
160 reference(s)		40-An2000.03.Fra
157 reference(s)
41-subject.01.
151 reference(s)		42-An2000.04.Fra
151 reference(s)
43-LumiereVirtuelleParadoxale.01
150 reference(s)		44-relativity.01.
149 reference(s)
45-Ariane501.01.Fra
146 reference(s)		46-GenieLogiciel.01.Ang
140 reference(s)
47-ArtOrdinateur.01
138 reference(s)		48-PremierMinistre.01.Fra
121 reference(s)
49-stereogra.01.c.
120 reference(s)		50-IllusionConnaissance.01
120 reference(s)
51-real.02.
119 reference(s)		52-an2000.01.fra
117 reference(s)
53-An2000.06.Fra
117 reference(s)		54-An2000.05.Fra
117 reference(s)
55-T_DuReelAuVirtuel_recherche.01.Fra.0001
111 reference(s)		56-infinity.04
110 reference(s)
57-PresidentRepublique.01.Fra
101 reference(s)		58-relai.01.vv
99 reference(s)
59-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0006
97 reference(s)		60-PresidentRepublique.02.Fra
96 reference(s)
61-InformatiqueProfessionnelle.01.Fra
93 reference(s)		62-T_DuReelAuVirtuel_recherche.01.Fra.0003
91 reference(s)
63-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0002
91 reference(s)		64-T_DuReelAuVirtuel_ExpReelle.01.Fra.0003
90 reference(s)
65-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0004
89 reference(s)		66-PourLaScience.01.Fra
89 reference(s)
67-MinistreEducationNationale.01.Fra
89 reference(s)		68-infinity.01
88 reference(s)
69-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0005
88 reference(s)		70-T_DuReelAuVirtuel_ExpReelle.01.Fra.0002
87 reference(s)
71-relai.01.vA
86 reference(s)		72-demo_14..m4.
86 reference(s)
73-T_DuReelAuVirtuel_recherche.01.Fra.0008
86 reference(s)		74-T_DuReelAuVirtuel_recherche.01.Fra.0005
86 reference(s)
75-T_DuReelAuVirtuel_ExpReelle.01.Fra.0001
85 reference(s)		76-T_DuReelAuVirtuel_ExpReelle.01.Fra.0000
85 reference(s)
77-ArtScience.01
85 reference(s)		78-RealNumbers.01.Ang
84 reference(s)
79-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0001
83 reference(s)		80-infinity.02
82 reference(s)
81-relai_universel.01.vv
80 reference(s)		82-relai.01.vC
80 reference(s)
83-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0004
80 reference(s)		84-Galerie_ArtAndScience
80 reference(s)
85-relai_universel.01.vA
78 reference(s)		86-AProposSite.01.Ang
78 reference(s)
87-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0002
77 reference(s)		88-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0001
77 reference(s)
89-T_DuReelAuVirtuel_recherche.01.Fra.0000
76 reference(s)		90-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0006
76 reference(s)
91-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0003
75 reference(s)		92-T_DuReelAuVirtuel_recherche.01.Fra.0010
74 reference(s)
93-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0003
74 reference(s)		94-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0000
73 reference(s)
95-relai_universel.01.vB
71 reference(s)		96-relai.01.vB
71 reference(s)
97-T_DuReelAuVirtuel_recherche.01.Fra.0011
71 reference(s)		98-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0005
71 reference(s)
99-T_DuReelAuVirtuel_recherche.01.Fra.0006
70 reference(s)		100-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0010
70 reference(s)
101-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0008
69 reference(s)		102-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0000
68 reference(s)
103-T_DuReelAuVirtuel_recherche.01.Fra.0007
67 reference(s)		104-T_DuReelAuVirtuel_recherche.01.Fra.0004
66 reference(s)
105-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0007
66 reference(s)		106-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0009
65 reference(s)
107-T_DuReelAuVirtuel_recherche.01.Fra.0009
64 reference(s)		108-T_DuReelAuVirtuel_ExpReelle.01.Fra.0005
64 reference(s)
109-T_DuReelAuVirtuel_ExpReelle.01.Fra.0004
64 reference(s)		110-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0007
63 reference(s)
111-T_DuReelAuVirtuel_recherche.01.Fra.0002
62 reference(s)		112-cerveau.01.vv.
52 reference(s)
113-An2000.01.fra
40 reference(s)		114-nCube.22.c.
39 reference(s)
115-hydrogene.61.K.
39 reference(s)		116-verhulst.94.c.
38 reference(s)
117-catalogue.11..m4.
35 reference(s)		118-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
32 reference(s)
119-Galerie_NewPictures
32 reference(s)		120-Galerie_BestOf
32 reference(s)
121-Galerie_Astrophysics
30 reference(s)		122-demo_14.FV..m4.
29 reference(s)
123-Galerie_ArtisticCreation
28 reference(s)		124-nCube.21.I.
27 reference(s)
125-Galerie_NumberTheory
27 reference(s)		126-Galerie_CelestialMechanics
25 reference(s)
127-Galerie_QuantumMechanics
24 reference(s)		128-real.01.
23 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.