Monthly Best Of on 04/28/2010




Tridimensional fractal structure

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

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(CMAP28 WWW site: this page was created on 04/28/2010 and last updated on 06/30/2018 14:04:36 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Hypercube
1-318 reference(s)
The random walk of photons escaping the Sun
2-305 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-212 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)
4-203 reference(s)
Quark and gluon structure of a nucleon
5-199 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
6-198 reference(s)
Autostereogram with an hidden ring and ghost bows
7-171 reference(s)
The random walk of photons escaping the Sun
8-171 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
9-170 reference(s)
Autostereogram with an hidden volcano
10-151 reference(s)
Quark and gluon structure of a nucleon
11-146 reference(s)
The Lorenz attractor
12-132 reference(s)
Paradoxal Monument Valley at sunset
13-130 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
14-129 reference(s)
Autostereogram with an hidden volcano
15-123 reference(s)
Happy new year 2000
16-123 reference(s)
Autostereogram of Monument Valley
17-100 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
18-95 reference(s)
Artistic view of the prime numbers
19-88 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
20-88 reference(s)
True colors autostereogram of a fractal landscape
21-87 reference(s)
The Möbius strip
22-81 reference(s)
Autostereogram with an hidden volcano
23-78 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
24-77 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
25-77 reference(s)
From the infinitely small to the infinitely big
26-77 reference(s)
The Scream -a Tribute to Edvard Munch-
27-76 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
28-75 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
29-69 reference(s)
Artistic view of the Big Bang
30-66 reference(s)
Quark and gluon dynamics of the nucleon
31-66 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
32-65 reference(s)
Electron-positron scattering
33-62 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
34-61 reference(s)
From Pluto to the Sun (non linear scales)
35-59 reference(s)
Intertwining
36-57 reference(s)
A quaternionic Julia set -tridimensional cross-section-
37-57 reference(s)
Along the border of the Mandelbrot set
38-56 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
39-56 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0) (bird's-eye view)
40-54 reference(s)
Jean-François Colonna
41-52 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
42-52 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
43-51 reference(s)
Recursive intertwining
44-50 reference(s)
Mountains at sunrise
45-50 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
46-49 reference(s)
The random walk of photons escaping the Sun
47-48 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
48-47 reference(s)
A shell (Jeener surface 1)in motion
49-46 reference(s)
Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
50-46 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
51-45 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
52-44 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
53-43 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-
54-42 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
55-42 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)
56-41 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
57-41 reference(s)
Rotation about the X axis of the Lorenz attractor
58-40 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
59-37 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
60-37 reference(s)
Fractal intertwining
61-36 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
62-36 reference(s)
Botticelli anomaly on the Moon
63-36 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
64-36 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
65-36 reference(s)
A fractal landscape
66-35 reference(s)
Tridimensional fractal structure
67-35 reference(s)
The pseudo-quaternionic fractal set obtained when computing the roots of Q^3=1 using Newton's method with translation along the third axis of the pseudo-quaternionic space (a 'NewtonBulb')-tridimensional cross-section-
68-34 reference(s)
La Génèse (1974)
69-34 reference(s)
Self-Portrait with intertwining
70-33 reference(s)
Fractal structure of a nucleon
71-33 reference(s)
Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
72-33 reference(s)
Artistic view of a 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.58...,+0.63...,0,0)-tridimensional cross-section-
73-33 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
74-32 reference(s)
A quaternionic Julia set -tridimensional cross-section-
75-32 reference(s)
A bidimensional fern computed by means of an 'Iterated Function System' -IFS-
76-32 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
77-32 reference(s)
The Jeener's triple Klein bottle
78-32 reference(s)
The random walk of photons escaping the Sun
79-31 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
80-31 reference(s)
The generalized Ulam spiral displaying 100 numbers
81-31 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
82-31 reference(s)
Quantum vacuum fluctuations
83-30 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
84-30 reference(s)
Intertwining based on the geometry of the Boy surface
85-30 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
86-29 reference(s)
A set of 4x3 stereograms of a few Monument Valleys at sunset
87-29 reference(s)
From Pluto to the Sun -extrapolation 2- (non linear scales)
88-29 reference(s)
The Lorenz attractor in motion
89-29 reference(s)
2.pi rotation about the Y axis of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')-tridimensional cross-section-
90-28 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)
91-28 reference(s)
Different modes of representation of a tridimensional cross-section of a Quaternionic Julia set
92-28 reference(s)
Integration of 128 tridimensional cross-sections of a quaternionic Julia set computed along its fourth axis
93-28 reference(s)
The Birth of the Universe
94-28 reference(s)
Artistic view of a quadridimensional Calabi-Yau manifold
95-28 reference(s)
Autostereogram with an hidden volcano
96-27 reference(s)
The normal field of a fractal surface defined by means of three bidimensional fields
97-27 reference(s)
2.pi rotation about the Y axis of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')-tridimensional cross-section-
98-27 reference(s)
Artistic view of a 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.58...,+0.63...,0,0)-tridimensional cross-section-
99-27 reference(s)
The Solar System with a dark blue virtual planet -virtual planet point of view-
100-27 reference(s)
32 points on a trigonometric circle
101-27 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
102-27 reference(s)
Foggy cliffs
103-27 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0)
104-26 reference(s)
Along the border of the Mandelbrot set
105-26 reference(s)
Isotropic random walk of 64 particles on a tridimensional square lattice
106-26 reference(s)
The Gate
107-26 reference(s)
Erosion in Monument Valley with fog
108-26 reference(s)
The Eratosthene sieve displaying 100x100 numbers
109-25 reference(s)
Monument Valley at sunrise
110-25 reference(s)
The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
111-25 reference(s)
Periodical earthquake with multifractal mountains
112-25 reference(s)
Double impossible staircase
113-25 reference(s)
Chessboard
114-24 reference(s)
The surface of the Moon
115-24 reference(s)
Beyond the Gate
116-24 reference(s)
The Lorenz attractor
117-24 reference(s)
16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
118-23 reference(s)
The irreversibility of the numerical bidimensional billiard
119-23 reference(s)
Bidimensional abstract texture with random anthropomorphic patterns
120-23 reference(s)
An Archimedes spiral displaying 1000 numbers
121-23 reference(s)
2.pi rotation about the Y axis of a 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set -tridimensional cross-section-
122-23 reference(s)
2.pi rotation about the Y axis of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')-tridimensional cross-section-
123-23 reference(s)
Inside the Gate
124-23 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
125-23 reference(s)
Psychedelic hypercube
126-23 reference(s)
Cliffs at sunset
127-23 reference(s)
The Bonan-Jeener's triple Klein bottle
128-23 reference(s)




2-The 128 most referenced Pages:



1-demo_14
1220 reference(s)
2-AVirtualSpaceTimeTravelMachine.Ang
499 reference(s)
3-An2000.01.Fra
475 reference(s)
4-FloatingPointNumbers.01.Fra
348 reference(s)
5-AVirtualSpaceTimeTravelMachine.Fra
339 reference(s)
6-Fractal.01
327 reference(s)
7-GenieLogiciel_VisualisationScientifique.01.vv
311 reference(s)
8-NDimensionalDeterministicFractalSets.01.Fra
309 reference(s)
9-help.
290 reference(s)
10-SurfaceProjector.01.Ang
288 reference(s)
11-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
277 reference(s)
12-Galerie_GeneralitiesVisualization.FV
277 reference(s)
13-SurfaceProjector.01.Fra
274 reference(s)
14-Stereogrammes_AutoStereogrammes.01
273 reference(s)
15-Galerie_DeterministicFractalGeometry.FV
272 reference(s)
16-AProposSite.01.Fra
270 reference(s)
17-AQuoiServentLesMathematiques.01
269 reference(s)
18-Vcatalogue.11
265 reference(s)
19-Commentaires_EnsembleMandelbrotComplexe.01
263 reference(s)
20-RealNumbers.01.Fra
262 reference(s)
21-Galerie_ArtisticCreation.FV
248 reference(s)
22-Galerie_ParticleSystems.DIAPO.0053
243 reference(s)
23-ExpV_VirE.Fra
243 reference(s)
24-copyright.01.
241 reference(s)
25-Galerie_ParticleSystems.DIAPO.0052
241 reference(s)
26-Galerie_NumberTheory.DIAPO.0028
241 reference(s)
27-Galerie_GeneralitiesVisualization.DIAPO.0086
241 reference(s)
28-Galerie_BestOf.DIAPO.0027
240 reference(s)
29-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0146
239 reference(s)
30-ImagesDuVirtuel.01.Fra
238 reference(s)
31-Galerie_NumberTheory.DIAPO.0024
238 reference(s)
32-Galerie_DeterministicFractalGeometry.DIAPO.0022
238 reference(s)
33-Galerie_BestOf.DIAPO.0028
238 reference(s)
34-Galerie_BestOf.DIAPO.0025
238 reference(s)
35-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0143
237 reference(s)
36-Galerie_BestOf.DIAPO.0030
237 reference(s)
37-Galerie_NumberTheory.DIAPO.0027
236 reference(s)
38-Galerie_NumberTheory.DIAPO.0025
236 reference(s)
39-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0145
236 reference(s)
40-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0144
236 reference(s)
41-Galerie_BestOf.DIAPO.0033
236 reference(s)
42-Galerie_BestOf.DIAPO.0029
236 reference(s)
43-Galerie_BestOf.DIAPO.0026
236 reference(s)
44-catalogue.11
235 reference(s)
45-Galerie_ParticleSystems.FV
235 reference(s)
46-Galerie_ParticleSystems.DIAPO.0050
235 reference(s)
47-Galerie_NumberTheory.DIAPO.0021
235 reference(s)
48-Galerie_GeneralitiesVisualization.DIAPO.0084
235 reference(s)
49-EnsembleDesGaleries.DIAPO.0615
235 reference(s)
50-Galerie_ParticleSystems.DIAPO.0048
234 reference(s)
51-Galerie_NumberTheory.DIAPO.0030
234 reference(s)
52-Galerie_GeneralitiesVisualization.DIAPO.0106
234 reference(s)
53-Galerie_GeneralitiesVisualization.DIAPO.0105
234 reference(s)
54-EnsembleDesGaleries.DIAPO.0614
234 reference(s)
55-EnsembleDesGaleries.DIAPO.0433
234 reference(s)
56-Galerie_ParticleSystems.DIAPO.0049
233 reference(s)
57-Galerie_NumberTheory.FV
233 reference(s)
58-Galerie_NumberTheory.DIAPO.0026
233 reference(s)
59-Galerie_NumberTheory.DIAPO.0023
233 reference(s)
60-Galerie_GeneralitiesVisualization.DIAPO.0104
233 reference(s)
61-Galerie_BestOf.DIAPO.0032
233 reference(s)
62-Galerie_ArtisticCreation.DIAPO.0044
233 reference(s)
63-ExpV_VirE.11
233 reference(s)
64-EnsembleDesGaleries.DIAPO.0612
233 reference(s)
65-EnsembleDesGaleries.DIAPO.0610
233 reference(s)
66-mail.01.vv
232 reference(s)
67-Galerie_ParticleSystems.DIAPO.0054
232 reference(s)
68-Galerie_NumberTheory.DIAPO.0029
232 reference(s)
69-Galerie_NumberTheory.DIAPO.0022
232 reference(s)
70-Galerie_NumberTheory.DIAPO.0019
232 reference(s)
71-Galerie_DeterministicFractalGeometry.DIAPO.0026
232 reference(s)
72-Galerie_DeterministicChaos.FV
232 reference(s)
73-Galerie_AnthropomorphicPatterns.DIAPO.0049
232 reference(s)
74-EnsembleDesGaleries.DIAPO.0613
232 reference(s)
75-EnsembleDesGaleries.DIAPO.0434
232 reference(s)
76-Galerie_ParticleSystems.DIAPO.0051
231 reference(s)
77-Galerie_NumberTheory.DIAPO.0034
231 reference(s)
78-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0140
231 reference(s)
79-Galerie_NewPictures.DIAPO.0073
231 reference(s)
80-Galerie_GeneralitiesVisualization.DIAPO.0111
231 reference(s)
81-Galerie_GeneralitiesVisualization.DIAPO.0109
231 reference(s)
82-Galerie_DeterministicFractalGeometry.DIAPO.0033
231 reference(s)
83-Galerie_DeterministicFractalGeometry.DIAPO.0021
231 reference(s)
84-Galerie_ArtisticCreation.DIAPO.0023
231 reference(s)
85-Galerie_AnthropomorphicPatterns.DIAPO.0055
231 reference(s)
86-Galerie_AnthropomorphicPatterns.DIAPO.0050
231 reference(s)
87-Galerie_AnthropomorphicPatterns.DIAPO.0021
231 reference(s)
88-ImagesDuVirtuel.01.Fra.FV
230 reference(s)
89-Galerie_ParticleSystems.DIAPO.0046
230 reference(s)
90-Galerie_NumberTheory.DIAPO.0053
230 reference(s)
91-Galerie_NumberTheory.DIAPO.0033
230 reference(s)
92-Galerie_NumberTheory.DIAPO.0031
230 reference(s)
93-Galerie_GeneralitiesVisualization.DIAPO.0108
230 reference(s)
94-Galerie_GeneralitiesVisualization.DIAPO.0107
230 reference(s)
95-Galerie_CelestialMechanics.DIAPO.0026
230 reference(s)
96-Galerie_BestOf.DIAPO.0024
230 reference(s)
97-Galerie_ArtisticCreation.DIAPO.0045
230 reference(s)
98-Galerie_AnthropomorphicPatterns.DIAPO.0061
230 reference(s)
99-Galerie_AnthropomorphicPatterns.DIAPO.0059
230 reference(s)
100-EnsembleDesGaleries.DIAPO.0611
230 reference(s)
101-EnsembleDesGaleries.DIAPO.0430
230 reference(s)
102-EnsembleDesGaleries.DIAPO.0429
230 reference(s)
103-ArtScience.11.Ang.DIAPO.0029
230 reference(s)
104-Informations_AboutPicturesAnimationsAndFiles.01.Ang
229 reference(s)
105-Galerie_NumberTheory.DIAPO.0045
229 reference(s)
106-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0134
229 reference(s)
107-Galerie_NewPictures.DIAPO.0068
229 reference(s)
108-Galerie_NewPictures.DIAPO.0066
229 reference(s)
109-Galerie_GeneralitiesVisualization.DIAPO.0110
229 reference(s)
110-Galerie_GeneralitiesVisualization.DIAPO.0092
229 reference(s)
111-Galerie_GeneralitiesVisualization.DIAPO.0088
229 reference(s)
112-Galerie_GeneralitiesVisualization.DIAPO.0087
229 reference(s)
113-Galerie_DeterministicFractalGeometry.DIAPO.0025
229 reference(s)
114-Galerie_BestOf.DIAPO.0031
229 reference(s)
115-Galerie_AnthropomorphicPatterns.DIAPO.0060
229 reference(s)
116-EnsembleDesGaleries.DIAPO.0738
229 reference(s)
117-EnsembleDesGaleries.DIAPO.0431
229 reference(s)
118-EnsembleDesGaleries.DIAPO.0426
229 reference(s)
119-GenieLogiciel.01.Fra
228 reference(s)
120-Galerie_NumberTheory.DIAPO.0050
228 reference(s)
121-Galerie_NumberTheory.DIAPO.0044
228 reference(s)
122-Galerie_NumberTheory.DIAPO.0036
228 reference(s)
123-Galerie_NumberTheory.DIAPO.0035
228 reference(s)
124-Galerie_NumberTheory.DIAPO.0017
228 reference(s)
125-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0142
228 reference(s)
126-Galerie_NewPictures.DIAPO.0064
228 reference(s)
127-Galerie_NewPictures.DIAPO.0059
228 reference(s)
128-Galerie_GeneralitiesVisualization.DIAPO.0103
228 reference(s)

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Copyright (c) Jean-François Colonna, 2010-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2010-2018.