Monthly Best Of on 08/28/2011




Tridimensional visualization of the Verhulst dynamics

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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Contents of this page:


1-The 128 most referenced Pictures:



From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
1-145 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
2-95 reference(s)
The random walk of photons escaping the Sun
3-82 reference(s)
Zoom in on the von Koch curve
4-74 reference(s)
256 elementary monodimensional binary cellular automata with 56% of white starting points (bottom left is the automata number 0 when top right is the number 255)
5-67 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
6-58 reference(s)
Quark and gluon structure of a nucleon
7-52 reference(s)
Artistic view of the prime numbers
8-48 reference(s)
Autostereogram with an hidden volcano
9-45 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
10-43 reference(s)
The random walk of photons escaping the Sun
11-40 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
12-40 reference(s)
Fractal structure of a nucleon
13-37 reference(s)
Paradoxal Monument Valley at sunset
14-37 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
15-32 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
16-32 reference(s)
Quantum vacuum fluctuations
17-31 reference(s)
Quark and gluon structure of a nucleon
18-31 reference(s)
From the infinitely small to the infinitely big
19-29 reference(s)
Quark and gluon dynamics of the nucleon
20-27 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of quadridimensional Calabi-Yau manifolds that can also be viewed as a set of 4x3 stereograms -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
21-27 reference(s)
Mountains at sunrise
22-26 reference(s)
The Lorenz attractor
23-26 reference(s)
Jean-François Colonna
24-26 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
25-24 reference(s)
The Möbius strip
26-24 reference(s)
Autostereogram with an hidden volcano
27-23 reference(s)
The generalized Ulam spiral displaying 100 numbers
28-22 reference(s)
True colors autostereogram of a fractal landscape
29-22 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
30-22 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
31-21 reference(s)
The random walk of photons escaping the Sun
32-21 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)
33-21 reference(s)
The Lorenz attractor
34-21 reference(s)
Hypercube
35-21 reference(s)
A set of 4x3 stereograms of a tridimensional interpolation between a fractal structure and a cubic mesh
36-20 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
37-20 reference(s)
Recursive pentagon
38-19 reference(s)
The generalized Ulam spiral displaying 1024 numbers
39-19 reference(s)
Double impossible staircase
40-19 reference(s)
Electron-positron scattering
41-19 reference(s)
The Jeener's triple Klein bottle
42-19 reference(s)
Autostereogram with an hidden volcano
43-18 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
44-18 reference(s)
Animation of a sunrise on mountains
45-18 reference(s)
The Bonan-Jeener's triple Klein bottle
46-18 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0) (bird's-eye view)
47-17 reference(s)
Artistic view of the Big Bang
48-17 reference(s)
Along the border of the Mandelbrot set
49-17 reference(s)
Different modes of representation of a tridimensional cross-section of a Quaternionic Julia set
50-17 reference(s)
A shell (Jeener surface 1)
51-17 reference(s)
Paradoxal structure
52-16 reference(s)
Intertwining
53-16 reference(s)
Bidimensional abstract texture with random anthropomorphic patterns
54-16 reference(s)
Happy new year 2000
55-16 reference(s)
A shell (Jeener surface 1)in motion
56-16 reference(s)
Rotation about the Y (vertical)axis of the CMAP logo that can also be viewed as a set of 4x3 stereograms
57-16 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
58-16 reference(s)
Intertwining
59-15 reference(s)
Autostereogram with an hidden ring and ghost bows
60-15 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
61-15 reference(s)
Autostereogram of Monument Valley
62-15 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
63-15 reference(s)
A tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
64-15 reference(s)
Tridimensional visualization of the Verhulst dynamics
65-15 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)
66-15 reference(s)
Intertwining
67-14 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
68-14 reference(s)
Autostereogram with an hidden volcano
69-14 reference(s)
12 evenly distributed points on a sphere -an Icosahedron- by means of simulated annealing
70-14 reference(s)
Quark and gluon structure of a nucleon
71-14 reference(s)
From Pluto to the Sun (linear scales)
72-14 reference(s)
From Pluto to the Sun (non linear scales)
73-14 reference(s)
Artistic view of a quaternionic Julia set -tridimensional cross-section-
74-14 reference(s)
Happy new year 2000
75-14 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of quadridimensional Calabi-Yau manifolds that can also be viewed as a set of 4x3 stereograms -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
76-14 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
77-14 reference(s)
Universe or Multiverse -The fractal Universe-?
78-13 reference(s)
Bidimensional rectangular billiard with 64 isotropic particles and with collisions
79-13 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
80-13 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
81-13 reference(s)
An arbitrary surface (Jeener surface 2)
82-13 reference(s)
The Mandelbrot set computed for 1 to 16 iterations with display of the arguments
83-13 reference(s)
The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
84-13 reference(s)
Rotation about the X axis of the Lorenz attractor
85-13 reference(s)
The iterative process used to generate bidimensional fractal height fields (16 iterations)
86-13 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
87-13 reference(s)
Bidimensional brownian motion with a gaussian distribution law regarding the radial coordinate
88-13 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0)
89-12 reference(s)
Intertwining based on the geometry of the Bonan-Jeener's triple Klein bottle
90-12 reference(s)
The particle trajectories inside a bidimensional periodical fluid with a vertically shifted central obstacle and during a short time period
91-12 reference(s)
Isotropic random walk of 64 particles on a tridimensional square lattice
92-12 reference(s)
A fractal surface (five iterations)defined by means of three bidimensional fields
93-12 reference(s)
Snowy multifractal mountains
94-12 reference(s)
Archimedian mountains (bird's-eye view)
95-12 reference(s)
N-body problem integration (N=10)displaying the actual Solar System, our Earth being at the origin of the coordinates
96-12 reference(s)
N-body problem integration (N=10)displaying the actual Solar System
97-12 reference(s)
The Möbius strip
98-12 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
99-12 reference(s)
Integration of 128 tridimensional cross-sections of a quaternionic Julia set computed along its fourth axis
100-12 reference(s)
The bidimensional Ising Model with 2-state spins, temperature=0.2 and random initial conditions
101-12 reference(s)
Cracks
102-12 reference(s)
The construction process of the von Koch curve
103-11 reference(s)
Synthesis of bidimensional geometrical textures
104-11 reference(s)
Along the border of the Mandelbrot set
105-11 reference(s)
Tridimensional fractal structure
106-11 reference(s)
No Title 0114
107-11 reference(s)
Intertwining
108-11 reference(s)
Paradoxal structure
109-11 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
110-11 reference(s)
Autostereogram with an hidden volcano
111-11 reference(s)
Self-transformation of an arbitrary geometrical texture
112-11 reference(s)
Brownian motion of a few heavy slow particles inside a gaz of fast light particles with increasing mass ratio (heavy/light=1,10,100,1000)
113-11 reference(s)
Cauliflowers, seaweeds, shells,...
114-11 reference(s)
Quaternionic shell
115-11 reference(s)
An interpolation between the Möbius strip and the Klein bottle defined by means of three sets of bidimensional fields
116-11 reference(s)
'There is a war' -a Tribute to Leonard Cohen-
117-11 reference(s)
Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
118-11 reference(s)
A sphere defined by means of three bidimensional fields
119-11 reference(s)
The Scream -a Tribute to Edvard Munch-
120-11 reference(s)
N-dimensional random structure
121-11 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
122-11 reference(s)
2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
123-11 reference(s)
The Birth of the Universe
124-11 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
125-11 reference(s)
Fractal diffusion front in a bidimensional medium obtained by means of a random walk process
126-11 reference(s)
Cliffs at sunset
127-11 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
128-11 reference(s)




2-The 128 most referenced Pages:



1-demo_14
951 reference(s)
2-NDimensionalDeterministicFractalSets.01.Ang
369 reference(s)
3-An2000.01.Fra
351 reference(s)
4-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
339 reference(s)
5-AVirtualSpaceTimeTravelMachine.Ang
333 reference(s)
6-help.
319 reference(s)
7-SurfaceProjector.01.Ang
309 reference(s)
8-ImagesDuVirtuel.01.Fra.FV
283 reference(s)
9-Galerie_DeterministicFractalGeometry.FV
282 reference(s)
10-NatureDesMathematiques.01.vv.Fra
273 reference(s)
11-AVirtualSpaceTimeTravelMachine.Fra
258 reference(s)
12-NDimensionalDeterministicFractalSets.01.Fra
251 reference(s)
13-SurfaceProjector.01.Fra
248 reference(s)
14-Galerie_ArtisticCreation.FV
248 reference(s)
15-Fractal.01
242 reference(s)
16-Galerie_GeneralitiesVisualization.FV
241 reference(s)
17-Galerie_NewPictures.FV
233 reference(s)
18-GenieLogiciel_VisualisationScientifique.01.vv
226 reference(s)
19-ExpV_VirE.11
224 reference(s)
20-FloatingPointNumbers.01.Fra
223 reference(s)
21-Stereogrammes_AutoStereogrammes.01
212 reference(s)
22-MathematiquesPhysiqueFractales.02
208 reference(s)
23-Autostereograms.01.
207 reference(s)
24-Galerie_QuantumMechanics.FV
206 reference(s)
25-Galerie_ArtAndScience.FV
205 reference(s)
26-Galerie_ParticleSystems.FV
204 reference(s)
27-EntrelacsIntertwinings.01.Ang.DIAPO.0516
202 reference(s)
28-AQuoiServentLesMathematiques.01
199 reference(s)
29-Galerie_CelestialMechanics.FV
197 reference(s)
30-EntrelacsIntertwinings.01.Ang.DIAPO.0473
197 reference(s)
31-EntrelacsIntertwinings.01.Ang.DIAPO.0472
197 reference(s)
32-AProposSite.01.Fra
197 reference(s)
33-EntrelacsIntertwinings.01.Ang.DIAPO.0515
195 reference(s)
34-AnimFractal.01.
195 reference(s)
35-EntrelacsIntertwinings.01.Ang.DIAPO.0474
194 reference(s)
36-Galerie_TextureSynthesis.FV
193 reference(s)
37-Galerie_DeterministicChaos.FV
193 reference(s)
38-EntrelacsIntertwinings.01.Ang.DIAPO.0475
192 reference(s)
39-MonodimensionalCellularAutomata.01.Fra
191 reference(s)
40-GenieLogiciel.01.Fra
190 reference(s)
41-EntrelacsIntertwinings.01.Ang.DIAPO.0514
190 reference(s)
42-EntrelacsIntertwinings.01.Ang.DIAPO.0471
189 reference(s)
43-EntrelacsIntertwinings.01.Ang.DIAPO.0513
188 reference(s)
44-EntrelacsIntertwinings.01.Ang.DIAPO.0469
188 reference(s)
45-Galerie_SensitivityToRoundingOffErrors.FV
187 reference(s)
46-ImpossibleStructures.01.Ang
186 reference(s)
47-FaireDeLaRecherche.01.vv
186 reference(s)
48-EntrelacsIntertwinings.01.Ang.DIAPO.0476
186 reference(s)
49-EntrelacsIntertwinings.01.Ang.DIAPO.0470
186 reference(s)
50-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
185 reference(s)
51-FloatingPointNumbers.01.Ang
185 reference(s)
52-EntrelacsIntertwinings.01.Ang.DIAPO.0468
185 reference(s)
53-EntrelacsIntertwinings.01.Ang.DIAPO.0467
185 reference(s)
54-DieuScience.01.Fra
185 reference(s)
55-subject.01.
184 reference(s)
56-Informations_AboutPicturesAnimationsAndFiles.01.Ang
184 reference(s)
57-EntrelacsIntertwinings.01.Ang.DIAPO.0512
184 reference(s)
58-RealNumbers.01.Fra
183 reference(s)
59-EntrelacsIntertwinings.01.Ang.DIAPO.0466
183 reference(s)
60-Galerie_DeterministicFractalGeometry.DIAPO.0044
182 reference(s)
61-Galerie_DeterministicFractalGeometry.DIAPO.0043
182 reference(s)
62-EntrelacsIntertwinings.01.Ang.DIAPO.0477
182 reference(s)
63-EntrelacsIntertwinings.01.Ang.DIAPO.0465
182 reference(s)
64-catalogue.11
181 reference(s)
65-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0388
181 reference(s)
66-Galerie_ArtisticCreation.DIAPO.0198
181 reference(s)
67-EntrelacsIntertwinings.01.Ang.DIAPO.0511
181 reference(s)
68-infinity.02.vv
180 reference(s)
69-demo_14.FV
180 reference(s)
70-Galerie_ArtisticCreation.DIAPO.0182
180 reference(s)
71-EntrelacsIntertwinings.01.Ang.DIAPO.0464
180 reference(s)
72-present.01.
179 reference(s)
73-Galerie_ArtisticCreation.DIAPO.0183
179 reference(s)
74-EntrelacsIntertwinings.01.Ang.DIAPO.0510
179 reference(s)
75-NombresEtLumiere.01.vv.Fra
178 reference(s)
76-Galerie_ArtisticCreation.DIAPO.0202
178 reference(s)
77-Galerie_ArtisticCreation.DIAPO.0201
178 reference(s)
78-Galerie_ArtisticCreation.DIAPO.0191
178 reference(s)
79-Galerie_ArtisticCreation.DIAPO.0187
178 reference(s)
80-Galerie_ArtisticCreation.DIAPO.0181
178 reference(s)
81-EntrelacsIntertwinings.01.Ang.DIAPO.0478
178 reference(s)
82-EntrelacsIntertwinings.01.Ang.DIAPO.0463
178 reference(s)
83-infinity.01.vv
177 reference(s)
84-MonodimensionalCellularAutomata.01.Ang
177 reference(s)
85-Galerie_DeterministicFractalGeometry.DIAPO.0047
177 reference(s)
86-Galerie_ArtisticCreation.DIAPO.0203
177 reference(s)
87-Galerie_ArtisticCreation.DIAPO.0195
177 reference(s)
88-Galerie_ArtisticCreation.DIAPO.0188
177 reference(s)
89-EnsembleDesGaleries.DIAPO.0001
177 reference(s)
90-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0387
176 reference(s)
91-Kepler.02.
176 reference(s)
92-Galerie_DeterministicFractalGeometry.DIAPO.0053
176 reference(s)
93-EntrelacsIntertwinings.01.Ang.DIAPO.0479
176 reference(s)
94-OrdinateursEtCalculs.01.Fra
175 reference(s)
95-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0386
175 reference(s)
96-ImagesDuVirtuel.01.Fra
175 reference(s)
97-Galerie_SignalProcessing.FV
175 reference(s)
98-Galerie_DeterministicFractalGeometry.DIAPO.0054
175 reference(s)
99-Galerie_DeterministicFractalGeometry.DIAPO.0046
175 reference(s)
100-Galerie_DeterministicFractalGeometry.DIAPO.0045
175 reference(s)
101-Galerie_ArtisticCreation.DIAPO.0193
175 reference(s)
102-Galerie_ArtisticCreation.DIAPO.0190
175 reference(s)
103-Galerie_ArtisticCreation.DIAPO.0189
175 reference(s)
104-Galerie_ArtisticCreation.DIAPO.0186
175 reference(s)
105-Galerie_ArtisticCreation.DIAPO.0184
175 reference(s)
106-EntrelacsIntertwinings.01.Ang
175 reference(s)
107-Galerie_ParticleSystems.DIAPO.0070
174 reference(s)
108-Galerie_NumberTheory.FV
174 reference(s)
109-Galerie_DeterministicFractalGeometry.DIAPO.0052
174 reference(s)
110-Galerie_DeterministicFractalGeometry.DIAPO.0042
174 reference(s)
111-Galerie_ArtisticCreation.DIAPO.0200
174 reference(s)
112-Galerie_ArtisticCreation.DIAPO.0199
174 reference(s)
113-Galerie_ArtisticCreation.DIAPO.0196
174 reference(s)
114-Galerie_ArtisticCreation.DIAPO.0194
174 reference(s)
115-EntrelacsIntertwinings.01.Fra
174 reference(s)
116-EntrelacsIntertwinings.01.Ang.DIAPO.0509
174 reference(s)
117-Galerie_ParticleSystems.DIAPO.0067
173 reference(s)
118-Galerie_ParticleSystems.DIAPO.0066
173 reference(s)
119-Galerie_DeterministicFractalGeometry.DIAPO.0056
173 reference(s)
120-Galerie_DeterministicFractalGeometry.DIAPO.0055
173 reference(s)
121-Galerie_DeterministicFractalGeometry.DIAPO.0048
173 reference(s)
122-Galerie_ArtisticCreation.DIAPO.0197
173 reference(s)
123-Galerie_ArtisticCreation.DIAPO.0192
173 reference(s)
124-Galerie_ArtisticCreation.DIAPO.0185
173 reference(s)
125-Galerie_ParticleSystems.DIAPO.0072
172 reference(s)
126-Galerie_ParticleSystems.DIAPO.0071
172 reference(s)
127-Galerie_ParticleSystems.DIAPO.0068
172 reference(s)
128-Galerie_ParticleSystems.DIAPO.0061
172 reference(s)

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




Copyright (c) Jean-François Colonna, 2011-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2011-2018.