Monthly Best Of on 05/28/2010




Anaglyph -blue=right, red=left- of a tridimensional fractal cross -iteration 5-

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

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(CMAP28 WWW site: this page was created on 05/28/2010 and last updated on 11/14/2023 17:47:34 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

(*): Undisplayed pictures -if any- do not exist.



From the infinitely small to the infinitely big
1-924 reference(s)		 Happy new year 2000
2-326 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-302 reference(s)		 Hypercube
4-281 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
5-204 reference(s)		 From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
6-169 reference(s)		 Quark and gluon structure of a nucleon
7-161 reference(s)		 The random walk of photons escaping the Sun
8-160 reference(s)
The random walk of photons escaping the Sun
9-142 reference(s)		 Quark and gluon structure of a nucleon
10-140 reference(s)		 The Lorenz attractor
11-137 reference(s)		 Autostereogram with an hidden ring and ghost bows
12-107 reference(s)
Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
13-105 reference(s)		 Autostereogram with an hidden volcano
14-101 reference(s)		 The random walk of photons escaping the Sun
15-99 reference(s)		 Autostereogram of Monument Valley
16-98 reference(s)
The Scream -a Tribute to Edvard Munch-
17-91 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
18-89 reference(s)		 Autostereogram with an hidden volcano
19-88 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
20-87 reference(s)
The Möbius strip
21-79 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
22-75 reference(s)		 Rotation about the X axis of the Lorenz attractor
23-74 reference(s)		 True colors autostereogram of a fractal landscape
24-73 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
25-73 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
26-73 reference(s)		 Artistic view of the prime numbers
27-72 reference(s)		 Intertwining
28-71 reference(s)
An extended foggy 'MandelBox' -tridimensional cross-section-
29-70 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
30-68 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
31-64 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
32-61 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)
33-61 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
34-61 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
35-59 reference(s)		 Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
36-56 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
37-55 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
38-55 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
39-54 reference(s)		 Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
40-53 reference(s)
Electron-positron scattering
41-53 reference(s)		 A shell (Jeener surface 1)in motion
42-52 reference(s)		 Autostereogram with an hidden volcano
43-51 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
44-51 reference(s)
From Pluto to the Sun (non linear scales)
45-49 reference(s)		 Artistic view of the Big Bang
46-48 reference(s)		 The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
47-48 reference(s)		 A fractal landscape
48-47 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold that can also be viewed as a set of 4x3 stereograms
49-47 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
50-46 reference(s)		 Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
51-46 reference(s)		 Along the border of the Mandelbrot set
52-45 reference(s)
The trajectories of bidimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to a vertical field of gravity
53-45 reference(s)		 A variable Archimedes spiral displaying 1000 numbers
54-43 reference(s)		 Consciousness exploring Mathematics
55-41 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
56-41 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
57-40 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)
58-39 reference(s)		 La Génèse (1974)
59-39 reference(s)		 Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
60-37 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
61-37 reference(s)		 The generalized Ulam spiral displaying 100 numbers
62-37 reference(s)		 A fractal surface (four iterations)defined by means of three bidimensional fields
63-37 reference(s)		 Self-Portrait with intertwining
64-36 reference(s)
Fractal intertwining
65-36 reference(s)		 Artistic view of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0) -a Tribute to José Hernández- -tridimensional cross-section-
66-36 reference(s)		 The Jeener-Klein triple bottle
67-36 reference(s)		 Recursive intertwining
68-35 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
69-35 reference(s)		 Intertwining based on the geometry of the Boy surface
70-35 reference(s)		 A perfect bidimensional piston with following initial conditions: still piston, high temperature particles at left and low temperature particles at right, in a bidimensional box submitted to a vertical field of gravity
71-34 reference(s)		 A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
72-34 reference(s)
The Eratosthene sieve displaying 100x100 numbers
73-33 reference(s)		 The Gate
74-33 reference(s)		 Mountains at sunrise
75-33 reference(s)		 Tridimensional fractal structure
76-33 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
77-33 reference(s)		 Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
78-32 reference(s)		 Quark and gluon dynamics of the nucleon
79-32 reference(s)		 Tridimensional fractal structure
80-31 reference(s)
Autostereogram with an hidden volcano
81-31 reference(s)		 Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
82-31 reference(s)		 A tridimensional Möbius-like manifold defined by means of three tridimensional fields
83-31 reference(s)		 An Archimedes spiral displaying 1000 numbers
84-31 reference(s)
32 points on a trigonometric circle
85-31 reference(s)		 Botticelli anomaly on the Moon
86-30 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
87-29 reference(s)		 Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
88-29 reference(s)
Beyond the Gate
89-29 reference(s)		 Monument Valley at sunrise
90-29 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
91-29 reference(s)		 LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
92-29 reference(s)
Quantum vacuum fluctuations
93-28 reference(s)		 The normal field of a fractal surface defined by means of three bidimensional fields
94-28 reference(s)		 An Archimedes spiral displaying 100 numbers
95-28 reference(s)		 Artistic view of Monument Valley
96-28 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
97-28 reference(s)		 Untitled 0031
98-27 reference(s)		 The Möbius strip
99-27 reference(s)		 The Lorenz attractor
100-27 reference(s)
Intertwining based on the geometry of the sphere
101-27 reference(s)		 Cliffs at sunset
102-27 reference(s)		 Artistic view of a quadridimensional Calabi-Yau manifold
103-27 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
104-27 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
105-26 reference(s)		 Isotropic random walk of 64 particles on a tridimensional square lattice
106-26 reference(s)		 Integration of 128 tridimensional cross-sections of a quaternionic Julia set computed along its fourth axis
107-26 reference(s)		 A bidimensional fern computed by means of an 'Iterated Function System' -IFS-
108-26 reference(s)
The normal field of the Klein bottle
109-26 reference(s)		 A tridimensional fractal structure
110-25 reference(s)		 Alien
111-25 reference(s)		 'There is a war' -a Tribute to Leonard Cohen-
112-25 reference(s)
The Eratosthene sieve displaying 10x10 numbers
113-25 reference(s)		 Artistic view of a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
114-25 reference(s)		 The Lorenz attractor in motion
115-25 reference(s)		 Sixteen pseudo-quaternionic Julia sets ('MandelBulb' like: 'JuliaBulb's)-tridimensional cross-sections-
116-25 reference(s)
White Hole
117-25 reference(s)		 The Klein bottle
118-25 reference(s)		 Along the border of the Mandelbrot set
119-24 reference(s)		 Chessboard
120-24 reference(s)
Untitled 0059
121-24 reference(s)		 Inside the Gate
122-24 reference(s)		 Erosion in Monument Valley with fog
123-24 reference(s)		 Mountains and light cloud dynamics -this sequence being periodical-
124-24 reference(s)
From Pluto to the Sun -extrapolation 2- (non linear scales)
125-24 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System
126-24 reference(s)		 Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
127-24 reference(s)		 The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
128-24 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
1308 reference(s)		 2-AVirtualSpaceTimeTravelMachine.Ang
522 reference(s)
3-An2000.01.Fra
461 reference(s)		 4-FloatingPointNumbers.01.Fra
384 reference(s)
5-GenieLogiciel_VisualisationScientifique.01.vv
316 reference(s)		 6-Fractal.01
305 reference(s)
7-help.
301 reference(s)		 8-AVirtualSpaceTimeTravelMachine.Fra
295 reference(s)
9-Galerie_DeterministicFractalGeometry.FV
289 reference(s)		 10-Galerie_ArtisticCreation.FV
288 reference(s)
11-NDimensionalDeterministicFractalSets.01.Fra
282 reference(s)		 12-Commentaires_EnsembleMandelbrotComplexe.01
282 reference(s)
13-AProposSite.01.Fra
274 reference(s)		 14-EnsembleDesGaleries.DIAPO.0001
271 reference(s)
15-Galerie_DeterministicFractalGeometry.DIAPO.0033
270 reference(s)		 16-Galerie_GeneralitiesVisualization.DIAPO.0086
268 reference(s)
17-RealNumbers.01.Fra
265 reference(s)		 18-Galerie_GeneralitiesVisualization.DIAPO.0088
265 reference(s)
19-Galerie_BestOf.DIAPO.0033
265 reference(s)		 20-EnsembleDesGaleries.DIAPO.0003
265 reference(s)
21-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
264 reference(s)		 22-SurfaceProjector.01.Ang
263 reference(s)
23-Galerie_DeterministicFractalGeometry.DIAPO.0032
262 reference(s)		 24-present.01.
261 reference(s)
25-Galerie_GeneralitiesVisualization.FV
261 reference(s)		 26-Galerie_GeneralitiesVisualization.DIAPO.0111
259 reference(s)
27-Galerie_BestOf.DIAPO.0029
259 reference(s)		 28-Stereogrammes_AutoStereogrammes.01
258 reference(s)
29-Galerie_GeneralitiesVisualization.DIAPO.0096
258 reference(s)		 30-Galerie_GeneralitiesVisualization.DIAPO.0095
258 reference(s)
31-Galerie_GeneralitiesVisualization.DIAPO.0087
258 reference(s)		 32-Galerie_BestOf.DIAPO.0032
258 reference(s)
33-Galerie_ParticleSystems.DIAPO.0037
257 reference(s)		 34-Galerie_NewPictures.DIAPO.0073
257 reference(s)
35-Galerie_GeneralitiesVisualization.DIAPO.0092
257 reference(s)		 36-Galerie_BestOf.DIAPO.0031
257 reference(s)
37-Galerie_ArtisticCreation.DIAPO.0184
256 reference(s)		 38-ArtScience.11.Ang.DIAPO.0039
256 reference(s)
39-Vcatalogue.11
255 reference(s)		 40-Galerie_GeneralitiesVisualization.DIAPO.0106
255 reference(s)
41-Galerie_GeneralitiesVisualization.DIAPO.0089
255 reference(s)		 42-Galerie_DeterministicFractalGeometry.DIAPO.0026
255 reference(s)
43-Galerie_DeterministicFractalGeometry.DIAPO.0021
255 reference(s)		 44-Galerie_BestOf.DIAPO.0030
255 reference(s)
45-Galerie_NewPictures.DIAPO.0072
254 reference(s)		 46-Galerie_GeneralitiesVisualization.DIAPO.0104
254 reference(s)
47-Galerie_DeterministicFractalGeometry.DIAPO.0029
254 reference(s)		 48-Galerie_DeterministicFractalGeometry.DIAPO.0028
254 reference(s)
49-Galerie_CelestialMechanics.DIAPO.0026
254 reference(s)		 50-Galerie_BestOf.DIAPO.0028
254 reference(s)
51-EnsembleDesGaleries.DIAPO.0004
254 reference(s)		 52-Galerie_ParticleSystems.DIAPO.0050
253 reference(s)
53-Galerie_ParticleSystems.DIAPO.0043
253 reference(s)		 54-Galerie_NewPictures.DIAPO.0071
253 reference(s)
55-Galerie_NewPictures.DIAPO.0032
253 reference(s)		 56-Galerie_GeneralitiesVisualization.DIAPO.0105
253 reference(s)
57-Galerie_GeneralitiesVisualization.DIAPO.0097
253 reference(s)		 58-Galerie_DeterministicFractalGeometry.DIAPO.0022
253 reference(s)
59-Galerie_ArtisticCreation.DIAPO.0183
253 reference(s)		 60-EnsembleDesGaleries.DIAPO.0616
253 reference(s)
61-EnsembleDesGaleries.DIAPO.0002
253 reference(s)		 62-Galerie_ParticleSystems.DIAPO.0038
252 reference(s)
63-Galerie_GeneralitiesVisualization.DIAPO.0107
252 reference(s)		 64-Galerie_DeterministicFractalGeometry.DIAPO.0030
252 reference(s)
65-Galerie_DeterministicFractalGeometry.DIAPO.0025
252 reference(s)		 66-EnsembleDesGaleries.DIAPO.0614
252 reference(s)
67-Galerie_GeneralitiesVisualization.DIAPO.0108
251 reference(s)		 68-Galerie_GeneralitiesVisualization.DIAPO.0098
251 reference(s)
69-Galerie_GeneralitiesVisualization.DIAPO.0090
251 reference(s)		 70-Galerie_DeterministicFractalGeometry.DIAPO.0027
251 reference(s)
71-Galerie_DeterministicFractalGeometry.DIAPO.0023
251 reference(s)		 72-EnsembleDesGaleries.DIAPO.0615
251 reference(s)
73-EnsembleDesGaleries.DIAPO.0611
251 reference(s)		 74-ArtScience.11.Ang.DIAPO.0037
251 reference(s)
75-Galerie_ParticleSystems.DIAPO.0048
250 reference(s)		 76-Galerie_ParticleSystems.DIAPO.0044
250 reference(s)
77-Galerie_NewPictures.DIAPO.0074
250 reference(s)		 78-Galerie_NewPictures.DIAPO.0031
250 reference(s)
79-Galerie_GeneralitiesVisualization.DIAPO.0102
250 reference(s)		 80-Galerie_GeneralitiesVisualization.DIAPO.0091
250 reference(s)
81-Galerie_GeneralitiesVisualization.DIAPO.0084
250 reference(s)		 82-Galerie_DeterministicFractalGeometry.DIAPO.0031
250 reference(s)
83-Galerie_DeterministicFractalGeometry.DIAPO.0020
250 reference(s)		 84-Galerie_BestOf.DIAPO.0026
250 reference(s)
85-EnsembleDesGaleries.DIAPO.0613
250 reference(s)		 86-EnsembleDesGaleries.DIAPO.0612
250 reference(s)
87-EnsembleDesGaleries.DIAPO.0610
250 reference(s)		 88-EnsembleDesGaleries.DIAPO.0609
250 reference(s)
89-EnsembleDesGaleries.DIAPO.0608
250 reference(s)		 90-EnsembleDesGaleries.DIAPO.0006
250 reference(s)
91-ArtScience.11.Ang.DIAPO.0038
250 reference(s)		 92-ArtScience.11.Ang.DIAPO.0032
250 reference(s)
93-Galerie_ParticleSystems.DIAPO.0040
249 reference(s)		 94-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0146
249 reference(s)
95-Galerie_GeneralitiesVisualization.DIAPO.0094
249 reference(s)		 96-Galerie_DeterministicFractalGeometry.DIAPO.0024
249 reference(s)
97-Galerie_BestOf.DIAPO.0027
249 reference(s)		 98-Galerie_ParticleSystems.DIAPO.0052
248 reference(s)
99-Galerie_ParticleSystems.DIAPO.0051
248 reference(s)		 100-Galerie_NumberTheory.DIAPO.0061
248 reference(s)
101-Galerie_GeneralitiesVisualization.DIAPO.0110
248 reference(s)		 102-Galerie_GeneralitiesVisualization.DIAPO.0109
248 reference(s)
103-Galerie_GeneralitiesVisualization.DIAPO.0103
248 reference(s)		 104-Galerie_BestOf.DIAPO.0022
248 reference(s)
105-Galerie_ArtAndScience.DIAPO.0152
248 reference(s)		 106-Galerie_ParticleSystems.DIAPO.0045
247 reference(s)
107-Galerie_ParticleSystems.DIAPO.0039
247 reference(s)		 108-Galerie_NewPictures.DIAPO.0078
247 reference(s)
109-Galerie_NewPictures.DIAPO.0075
247 reference(s)		 110-Galerie_NewPictures.DIAPO.0027
247 reference(s)
111-Galerie_BestOf.DIAPO.0024
247 reference(s)		 112-Galerie_AnthropomorphicPatterns.DIAPO.0058
247 reference(s)
113-EnsembleDesGaleries.DIAPO.0606
247 reference(s)		 114-EnsembleDesGaleries.DIAPO.0012
247 reference(s)
115-ArtScience.11.Ang.DIAPO.0029
247 reference(s)		 116-Galerie_ParticleSystems.DIAPO.0047
246 reference(s)
117-Galerie_ParticleSystems.DIAPO.0046
246 reference(s)		 118-Galerie_ParticleSystems.DIAPO.0042
246 reference(s)
119-Galerie_ParticleSystems.DIAPO.0036
246 reference(s)		 120-Galerie_NewPictures.DIAPO.0082
246 reference(s)
121-Galerie_NewPictures.DIAPO.0070
246 reference(s)		 122-Galerie_GeneralitiesVisualization.DIAPO.0101
246 reference(s)
123-Galerie_GeneralitiesVisualization.DIAPO.0100
246 reference(s)		 124-Galerie_CelestialMechanics.DIAPO.0024
246 reference(s)
125-Galerie_ArtisticCreation.DIAPO.0182
246 reference(s)		 126-Galerie_ArtisticCreation.DIAPO.0181
246 reference(s)
127-Galerie_ArtisticCreation.DIAPO.0173
246 reference(s)		 128-Galerie_AnthropomorphicPatterns.DIAPO.0060
246 reference(s)

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




Copyright © Jean-François COLONNA, 2010-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2010-2023.