Monthly Best Of on 01/25/2001




A surface between the Klein bottle and a 'double sphere' defined by means of three bidimensional fields

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 01/25/2001 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
1-1961 reference(s)
Jean-François Colonna
2-948 reference(s)
Quark and gluon structure of a nucleon
3-916 reference(s)
From Pluto to the Sun (non linear scales)
4-692 reference(s)
Quark and gluon dynamics of the nucleon
5-642 reference(s)
The 16 most referenced pictures on 01/30/1996
6-591 reference(s)
Artistic view of the prime numbers
7-590 reference(s)
Artistic view of the Big Bang
8-508 reference(s)
The Birth of the Universe
9-446 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
10-433 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
11-394 reference(s)
From the infinitely small to the infinitely big
12-394 reference(s)
The journey of a sphere (dark blue)in a system of pure uniform concentric circular motions -fixed point of view (yellow)-
13-387 reference(s)
Cauliflowers, seaweeds, shells,... with fog
14-381 reference(s)
Mountains at sunrise
15-355 reference(s)
The Lorenz attractor
16-332 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
17-324 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)
18-307 reference(s)
Beyond the Gate
19-301 reference(s)
N-body problem integration (N=2)displaying a perfect Keplerian orbit
20-298 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
21-292 reference(s)
Electron-positron scattering
22-283 reference(s)
Texture animation by means of the generalized Fourier filtering process
23-274 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
24-269 reference(s)
Real numbers do not exist for a computer
25-250 reference(s)
A shell (Jeener surface 1)in motion
26-246 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
27-243 reference(s)
Alien
28-238 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
29-236 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)
30-235 reference(s)
Animation of a sunrise on mountains
31-231 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
32-231 reference(s)
Double impossible staircase
33-230 reference(s)
A twisting rope
34-224 reference(s)
Archimedes spirals
35-224 reference(s)
The Mandelbrot set computed for 1 to 16 iterations with display of the arguments
36-223 reference(s)
Artistic view of Ph(Zeta)
37-221 reference(s)
Alien spacecrafts on the Moon
38-221 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
39-213 reference(s)
From Pluto to the Sun (linear scales)
40-213 reference(s)
Cross-sections inside a tridimensional fractal aggregate
41-212 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)
42-208 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
43-206 reference(s)
Zoom in on the von Koch curve
44-205 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
45-205 reference(s)
The random walk of photons escaping the Sun
46-203 reference(s)
The bidimensional Ising Model with 2-state spins, temperature=0.2 and random initial conditions
47-203 reference(s)
The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
48-201 reference(s)
The journey of a sphere (dark blue)in a system of pure uniform concentric circular motions -moving point of view (dark blue)-
49-200 reference(s)
Exploding tridimensional fractal aggregate
50-198 reference(s)
Mandelbrot set in the sky
51-197 reference(s)
Artistic view of the Solar System viewed from a virtual planet
52-195 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
53-189 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
54-188 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)
55-183 reference(s)
Electron diffraction
56-183 reference(s)
N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation
57-177 reference(s)
Artistic view of a nucleon
58-177 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)
59-176 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
60-176 reference(s)
Hypercube
61-176 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-
62-175 reference(s)
Carnival in motion
63-174 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
64-173 reference(s)
16 earth-like planets initially on the same keplerian trajectory
65-173 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
66-170 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)
67-169 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year as it is -without non linear scaling-
68-168 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
69-167 reference(s)
Paradoxal Monument Valley at sunset
70-167 reference(s)
Zoom in on the von Koch curve
71-166 reference(s)
Bidimensional zoom in on the Verhulst dynamics
72-166 reference(s)
The bidimensional Ising Model with 2-state spins, temperature=0.2 and regular initial conditions (a chessboard)
73-166 reference(s)
Artistic view of 128 quaternionic Julia sets -tridimensional cross-sections-
74-165 reference(s)
Autostereogram with an hidden volcano and an animated disguise texture
75-162 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
76-162 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)-sensitivity to initial conditions-
77-162 reference(s)
Tridimensional zoom in on the Mandelbrot set
78-162 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
79-162 reference(s)
Bidimensional visualization of the Verhulst dynamics
80-161 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (tridimensional computation)
81-161 reference(s)
The journey of a sphere (dark blue)in a system of pure uniform non concentric circular motions -moving point of view (dark blue)-
82-160 reference(s)
The erection of the Babel Tower
83-158 reference(s)
2 identical grey squares moving over a grey scale
84-158 reference(s)
Bidimensional visualization of a bidimensional turbulent flow -sensitivity to initial conditions-
85-156 reference(s)
The Möbius strip
86-155 reference(s)
Artistic view of the Verhulst dynamics
87-154 reference(s)
Translation along the fourth axis of a quaternionic Julia set -tridimensional cross-sections-
88-153 reference(s)
Impossible structure
89-153 reference(s)
16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
90-152 reference(s)
The irreversibility of the numerical bidimensional billiard
91-151 reference(s)
Isotropic random walk of 64 particles on a bidimensional square lattice
92-150 reference(s)
display of the inclination of two elliptic trajectories
93-150 reference(s)
Simulation of 'from Pluto to the Sun' with pure uniform circular motions (linear scales)
94-149 reference(s)
Artistic view of the Hydrogen atom
95-148 reference(s)
Cloud dynamics -this sequence being periodical, bird's-eye view-
96-147 reference(s)
The eye of God -an artistic view of the Solar System-
97-146 reference(s)
The 16 most referenced pictures on 07/26/1996
98-146 reference(s)
Monument Valley at sunrise
99-145 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
100-144 reference(s)
Texture animation by means of Fourier interpolation
101-143 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
102-142 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
103-142 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
104-141 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
105-140 reference(s)
Tridimensional display of one of the eigenstates (n=8,l=6)of the Hydrogen atom
106-139 reference(s)
An Archimedes spiral displaying 1000 numbers
107-137 reference(s)
An arbitrary surface (Jeener surface 2)in motion
108-137 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
109-137 reference(s)
The Eratosthene sieve displaying 10x10 numbers
110-136 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
111-135 reference(s)
Tridimensional fractal structure in a tridimensional torus
112-135 reference(s)
The snake swallows its own tail
113-135 reference(s)
Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
114-134 reference(s)
Isotropic random walk of 64 particles on a tridimensional square lattice
115-132 reference(s)
Brownian motion of a few heavy slow particles inside a gaz of fast light particles
116-130 reference(s)
Botticelli anomaly on the Moon
117-130 reference(s)
16 complex Julia sets
118-130 reference(s)
Exploding tridimensional fractal aggregate
119-129 reference(s)
Rotation about the Y axis of the Boy surface with motion blur
120-127 reference(s)
Light cloud dynamics -this sequence being periodical-
121-127 reference(s)
Very naive view (solar system-like)of the Hydrogen atom
122-126 reference(s)
Rotation about the X axis of the Lorenz attractor
123-125 reference(s)
Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
124-124 reference(s)
Synthesis of tridimensional textures
125-124 reference(s)
More and more craters on the Moon
126-123 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
127-123 reference(s)
Artistic view of a quaternionic Julia set -tridimensional cross-section-
128-123 reference(s)




2-The 128 most referenced Pages:



1-demo_14
18825 reference(s)
2-An2000.01.Fra
2896 reference(s)
3-display
1355 reference(s)
4-ImagesDuVirtuel.01.Fra
764 reference(s)
5-demo_14.FV
674 reference(s)
6-Galerie_ArtAndScience.FV
665 reference(s)
7-present.01.
652 reference(s)
8-ExpV_VirE.Fra
573 reference(s)
9-copyright.01.
435 reference(s)
10-help.
411 reference(s)
11-GenieLogiciel.01.Fra
397 reference(s)
12-Galerie_ArtisticCreation.FV
387 reference(s)
13-Galerie_CelestialMechanics.FV
337 reference(s)
14-Galerie_Astrophysics.FV
323 reference(s)
15-Galerie_BestOf.FV
305 reference(s)
16-ImagesDuVirtuel.01.Fra.FV
288 reference(s)
17-AnimFractal.01.
272 reference(s)
18-An2000.02.Fra
267 reference(s)
19-Galerie_DeterministicChaos.FV
265 reference(s)
20-Galerie_QuantumMechanics.FV
249 reference(s)
21-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
243 reference(s)
22-Galerie_FluidMechanics.FV
241 reference(s)
23-create.03.
234 reference(s)
24-mail.01.vv
223 reference(s)
25-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
220 reference(s)
26-Galerie_DeterministicFractalGeometry.FV
219 reference(s)
27-BEST.20001205
217 reference(s)
28-Galerie_NewPictures.FV
202 reference(s)
29-Fractal.01
201 reference(s)
30-Galerie_NumberTheory.FV
198 reference(s)
31-An2000.01.Ang
180 reference(s)
32-Galerie_GeneralitiesVisualization.FV
177 reference(s)
33-ExpV_VirE.Ang
176 reference(s)
34-AQuoiServentLesMathematiques.01
169 reference(s)
35-RealNumbers.01.Fra
160 reference(s)
36-AProposSite.01.Fra
155 reference(s)
37-VisSci_SciVis.01
152 reference(s)
38-Galerie_TextureSynthesis.FV
152 reference(s)
39-BEST.20000323
151 reference(s)
40-catalogue.11
146 reference(s)
41-MonumentValley.01.Ang
141 reference(s)
42-An2000.05.Fra
141 reference(s)
43-Galerie_SignalProcessing.FV
131 reference(s)
44-Kepler.02.
127 reference(s)
45-Galerie_SensitivityToRoundingOffErrors.FV
116 reference(s)
46-hydrogene.61.K.
115 reference(s)
47-ImpossibleStructures.01.Ang
113 reference(s)
48-ExpV_VirE.01.Fra
111 reference(s)
49-Autostereograms.01.
111 reference(s)
50-BEST.20001024
110 reference(s)
51-DuReelAuVirtuel.01.Fra
106 reference(s)
52-ArtScience.01
106 reference(s)
53-Galerie_SalonDAutomne.FV
105 reference(s)
54-InformatiqueProfessionnelle.01.Fra
103 reference(s)
55-ExpV_VirE.01.Ang
101 reference(s)
56-An2000.06.Fra
99 reference(s)
57-BEST.20000517
98 reference(s)
58-infinity.01.vv
97 reference(s)
59-Vcatalogue.11
96 reference(s)
60-LOG_xiMc.11
96 reference(s)
61-stereogra.01.c.
95 reference(s)
62-Spheres.01
95 reference(s)
63-relativity.01.
94 reference(s)
64-ManyChaos.01.Fra
94 reference(s)
65-subject.01.
93 reference(s)
66-An2000.04.Fra
92 reference(s)
67-ManyChaos.01.Ang
91 reference(s)
68-MonumentValley.01.Fra
89 reference(s)
69-ArtOrdinateur.01
87 reference(s)
70-BEST.20000905
86 reference(s)
71-BEST.20000403
85 reference(s)
72-BEST.20000717
84 reference(s)
73-Ariane501.01.Fra
84 reference(s)
74-VisitesGaleriesEnfouies.01
81 reference(s)
75-LumiereVirtuelleParadoxale.01
81 reference(s)
76-Galerie_DeterministicChaos
81 reference(s)
77-Galerie_CelestialMechanics
80 reference(s)
78-IllusionConnaissance.01
79 reference(s)
79-JFC
78 reference(s)
80-ImpossibleStructures.01.Fra
75 reference(s)
81-RemarquesCerveau.01
73 reference(s)
82-An2000.03.Fra
72 reference(s)
83-real.01.vv.
70 reference(s)
84-demo_14.FV..m4.
66 reference(s)
85-An2000.11.Fra
65 reference(s)
86-demo_14..m4.
61 reference(s)
87-Galerie_SensitivityToRoundingOffErrors
58 reference(s)
88-Galerie_DeterministicFractalGeometry
58 reference(s)
89-PatrimoineHumanite.02.Fra
57 reference(s)
90-jfc
51 reference(s)
91-PresidentRepublique.01.Fra
51 reference(s)
92-PourLaScience.01.Fra
50 reference(s)
93-MinistreEducationNationale.01.Fra
47 reference(s)
94-PresidentRepublique.02.Fra
45 reference(s)
95-GenieLogiciel.01.Ang
45 reference(s)
96-Galerie_QuantumMechanics
45 reference(s)
97-Galerie_NewPictures
44 reference(s)
98-Galerie_ArtisticCreation
44 reference(s)
99-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
43 reference(s)
100-nCube.21.I.
42 reference(s)
101-cerveau.01.vv.
42 reference(s)
102-catalogue.11..m4.
40 reference(s)
103-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0004
40 reference(s)
104-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0002
40 reference(s)
105-PremierMinistre.01.Fra
39 reference(s)
106-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0001
38 reference(s)
107-T_DuReelAuVirtuel_ExpReelle.01.Fra.0001
37 reference(s)
108-AProposSite.01.Ang
37 reference(s)
109-Galerie_GeneralitiesVisualization
36 reference(s)
110-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0003
35 reference(s)
111-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0005
35 reference(s)
112-T_DuReelAuVirtuel_recherche.01.Fra.0001
34 reference(s)
113-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0007
34 reference(s)
114-Galerie_TextureSynthesis
34 reference(s)
115-verhulst.94.c.
33 reference(s)
116-T_DuReelAuVirtuel_recherche.01.Fra.0006
33 reference(s)
117-T_DuReelAuVirtuel_recherche.01.Fra.0005
33 reference(s)
118-T_DuReelAuVirtuel_recherche.01.Fra.0004
33 reference(s)
119-T_DuReelAuVirtuel_recherche.01.Fra.0003
33 reference(s)
120-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0002
33 reference(s)
121-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0001
32 reference(s)
122-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0006
32 reference(s)
123-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0004
32 reference(s)
124-T_DuReelAuVirtuel_ExpReelle.01.Fra.0002
32 reference(s)
125-an2000.01.fra
31 reference(s)
126-T_DuReelAuVirtuel_recherche.01.Fra.0011
31 reference(s)
127-T_DuReelAuVirtuel_MetaOrdinateur.01.Fra.0006
31 reference(s)
128-T_DuReelAuVirtuel_ExpVirtuelle.01.Fra.0003
31 reference(s)

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Copyright (c) Jean-François Colonna, 2001-2018.
Copyright (c) France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2001-2018.