Monthly Best Of on 01/28/2012




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:



The Lorenz attractor
1-1152 reference(s)
The random walk of photons escaping the Sun
2-445 reference(s)
Rotation about the X axis of the Lorenz attractor
3-136 reference(s)
The random walk of photons escaping the Sun
4-102 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
5-98 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
6-97 reference(s)
Zoom in on the von Koch curve
7-96 reference(s)
Mystery mountain at sunrise
8-93 reference(s)
Mystery cliffs at sunrise
9-90 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
10-90 reference(s)
Mountains at sunrise
11-88 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
12-75 reference(s)
Quark and gluon structure of a nucleon
13-69 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
14-68 reference(s)
Along the border of the Mandelbrot set
15-65 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
16-61 reference(s)
Artistic view of the prime numbers
17-57 reference(s)
Along the border of the Mandelbrot set
18-55 reference(s)
Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
19-46 reference(s)
Quark and gluon structure of a nucleon
20-44 reference(s)
Forward tridimensional integration of the wavelet filtering of a bidimensional fractal field with cross-section
21-44 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
22-43 reference(s)
From the infinitely small to the infinitely big
23-43 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
24-43 reference(s)
Quark and gluon dynamics of the nucleon
25-40 reference(s)
Autostereogram with an hidden volcano
26-38 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
27-38 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
28-37 reference(s)
The random walk of photons escaping the Sun
29-36 reference(s)
Jean-François Colonna
30-32 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
31-32 reference(s)
From Pluto to the Sun (non linear scales)
32-29 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
33-28 reference(s)
The Möbius strip
34-28 reference(s)
The pseudo-sphere -a Tribute to Jacques Cartier-
35-27 reference(s)
Hypercube
36-27 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
37-27 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
38-26 reference(s)
No Title 0141
39-25 reference(s)
The generalized Ulam spiral displaying 100 numbers
40-25 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
41-24 reference(s)
Quantum vacuum fluctuations
42-23 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
43-23 reference(s)
Zoom in on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
44-23 reference(s)
Intertwining
45-22 reference(s)
The generalized Ulam spiral displaying 1024 numbers
46-22 reference(s)
Animation of a sunrise on mountains
47-22 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
48-21 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
49-21 reference(s)
From Pluto to the Sun -extrapolation 1- (non linear scales)
50-21 reference(s)
No Title 0142
51-21 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
52-20 reference(s)
Artistic view of the Big Bang
53-20 reference(s)
Autostereogram with an hidden volcano
54-20 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
55-20 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
56-20 reference(s)
No Title 0139
57-20 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
58-20 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
59-20 reference(s)
Autostereogram with an hidden ring and ghost bows
60-19 reference(s)
A 'fractal plane' with overhangings defined by means of three bidimensional fields
61-19 reference(s)
Clouds
62-19 reference(s)
Tridimensional visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
63-19 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
64-19 reference(s)
The Birth of the Universe
65-19 reference(s)
Happy new year 2000
66-19 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
67-18 reference(s)
Merry Christmas 2011
68-18 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-
69-18 reference(s)
Animation of a natural form
70-18 reference(s)
Quark and gluon structure of a nucleon
71-18 reference(s)
The construction process of the von Koch curve
72-17 reference(s)
Intertwining
73-17 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)
74-17 reference(s)
Different modes of representation of a tridimensional cross-section of a Quaternionic Julia set
75-17 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 'complex' module transformation in the pseudo-octonionic space -tridimensional cross-section-
76-17 reference(s)
Double impossible staircase
77-17 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
78-17 reference(s)
Autostereogram with an hidden volcano
79-16 reference(s)
Tridimensional domino effect
80-16 reference(s)
Paradoxal Monument Valley at sunset
81-16 reference(s)
Mountains at sunrise
82-16 reference(s)
The Solar System with a dark blue virtual planet -virtual planet point of view-
83-16 reference(s)
Tridimensional visualization of the Verhulst dynamics with a 1/Q conformal transformation in the pseudo-quaternionic space
84-16 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
85-16 reference(s)
The Jeener's triple Klein bottle
86-16 reference(s)
Autostereogram with an hidden volcano
87-15 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
88-15 reference(s)
The Solar System with a dark blue virtual planet -heliocentric point of view-
89-15 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
90-15 reference(s)
Fractal diffusion front in a bidimensional medium obtained by means of a random walk process
91-15 reference(s)
Electron-positron scattering
92-15 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
93-15 reference(s)
Tridimensional billiard with 12 -initially- still particles submitted to an attractive central field of gravity
94-14 reference(s)
Alien
95-14 reference(s)
Botticelli anomaly on the Moon
96-14 reference(s)
Autostereogram of Monument Valley
97-14 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 'complex' transformation in the pseudo-octonionic space -tridimensional cross-section-
98-14 reference(s)
The normal field of a shell (Jeener surface 1)
99-14 reference(s)
A shell (Jeener surface 1)in motion
100-14 reference(s)
Generation of the 63x63 first Conway's surreal complex numbers
101-13 reference(s)
Autostereogram with an hidden volcano
102-13 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
103-13 reference(s)
True colors autostereogram of a fractal landscape
104-13 reference(s)
No Title 0137 -'Jour de Lenteur', a tribute to Yves Tanguy-
105-13 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
106-13 reference(s)
A tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
107-13 reference(s)
Tridimensional visualization of the Verhulst dynamics with a QxQ conformal transformation in the pseudo-quaternionic space
108-13 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-
109-13 reference(s)
A quaternionic Julia set -tridimensional cross-section-
110-13 reference(s)
Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
111-13 reference(s)
Fractal diffusion front in a bidimensional medium obtained by means of a random walk process
112-13 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
113-13 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
114-13 reference(s)
Rotation about the X axis of a tridimensional brownian motion
115-13 reference(s)
Tridimensional display of the Riemann Zeta function inside (+0.1,+0.9)x(0,+50)
116-12 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0)
117-12 reference(s)
Quantum vacuum fluctuations
118-12 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
119-12 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
120-12 reference(s)
The generalized Ulam spiral
121-12 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
122-12 reference(s)
The Lorenz attractor
123-12 reference(s)
The monsters of the lily pond
124-12 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
125-12 reference(s)
Tridimensional brownian motion -the colors used (magenta,red,yellow,green,cyan)are an increasing function of the time- and the 'external border' of its bidimensional projection -white-
126-12 reference(s)
The control panel of a 1972 Télémécanique T1600 computer
127-11 reference(s)
Autostereogram with an hidden volcano
128-11 reference(s)




2-The 128 most referenced Pages:



1-demo_14
843 reference(s)
2-An2000.01.Fra
427 reference(s)
3-AVirtualSpaceTimeTravelMachine.Ang
367 reference(s)
4-Fractal.01
327 reference(s)
5-Galerie_GeneralitiesVisualization.FV
305 reference(s)
6-MonodimensionalCellularAutomata.01.Fra
300 reference(s)
7-NDimensionalDeterministicFractalSets.01.Ang
285 reference(s)
8-help.
276 reference(s)
9-FloatingPointNumbers.01.Fra
253 reference(s)
10-ImagesDuVirtuel.01.Fra.FV
247 reference(s)
11-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
239 reference(s)
12-AQuoiServentLesMathematiques.01
238 reference(s)
13-Galerie_DeterministicFractalGeometry.FV
235 reference(s)
14-Stereogrammes_AutoStereogrammes.01
230 reference(s)
15-AnimFractal.01.
223 reference(s)
16-NDimensionalDeterministicFractalSets.01.Fra
217 reference(s)
17-Galerie_NumberTheory.FV
216 reference(s)
18-SurfaceProjector.01.Ang
215 reference(s)
19-Galerie_NewPictures.FV
215 reference(s)
20-SurfaceProjector.01.Fra
207 reference(s)
21-AProposSite.01.Fra
206 reference(s)
22-GenieLogiciel_VisualisationScientifique.01.vv
205 reference(s)
23-ExpV_VirE.11
205 reference(s)
24-FaireDeLaRecherche.01.vv
202 reference(s)
25-Galerie_ParticleSystems.FV
200 reference(s)
26-AVirtualSpaceTimeTravelMachine.Fra
200 reference(s)
27-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
192 reference(s)
28-fractal.01
190 reference(s)
29-FloatingPointNumbers.01.Ang
184 reference(s)
30-RealNumbers.01.Fra
182 reference(s)
31-Galerie_ArtisticCreation.FV
176 reference(s)
32-catalogue.11
175 reference(s)
33-MathematiquesPhysiqueFractales.02
175 reference(s)
34-aquoiserventlesmathematiques.01
172 reference(s)
35-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
170 reference(s)
36-GenieLogiciel.01.Fra
169 reference(s)
37-Galerie_ArtAndScience.FV
169 reference(s)
38-fairedelarecherche.01.vv
168 reference(s)
39-stereogrammes_autostereogrammes.01
167 reference(s)
40-present.01.
167 reference(s)
41-NatureDesMathematiques.01.vv.Fra
167 reference(s)
42-MonodimensionalCellularAutomata.01.Ang
166 reference(s)
43-copyright.01.
165 reference(s)
44-DieuScience.01.Fra
165 reference(s)
45-IllusionConnaissance.02
163 reference(s)
46-ImpossibleStructures.01.Fra
162 reference(s)
47-mail.01.vv
161 reference(s)
48-ExpV_VirE.Fra
159 reference(s)
49-Autostereograms.01.
156 reference(s)
50-Galerie_QuantumMechanics.FV
152 reference(s)
51-Galerie_DeterministicChaos.FV
151 reference(s)
52-Galerie_CelestialMechanics.FV
150 reference(s)
53-monodimensionalcellularautomata.01.fra
148 reference(s)
54-Galeries.01.vv
148 reference(s)
55-ImpossibleStructures.01.Ang
147 reference(s)
56-EntrelacsIntertwinings.01.Ang
147 reference(s)
57-an2000.01.fra
146 reference(s)
58-demo_14.FV
145 reference(s)
59-OrdinateursEtCalculs.01.Fra
145 reference(s)
60-Galerie_Astrophysics.FV
145 reference(s)
61-EntrelacsIntertwinings.01.Fra
145 reference(s)
62-infinity.02.vv
144 reference(s)
63-Fractal.11
144 reference(s)
64-ExpV_VirE.01.Fra
144 reference(s)
65-create.03.
143 reference(s)
66-Kepler.02.
142 reference(s)
67-HommageBenoitMandelbrot.21
142 reference(s)
68-PerteDeLAssociativite.01
141 reference(s)
69-OrdinateurMathematiquesArt.01.Fra
140 reference(s)
70-ExpV_VirE.Ang
140 reference(s)
71-ArtScience.01
140 reference(s)
72-RemarquesCerveau.01
139 reference(s)
73-PatrimoineHumanite.02.Fra
139 reference(s)
74-LOG_xiMc.11
139 reference(s)
75-ImagesDuVirtuel.01.Fra
139 reference(s)
76-VirtualChaos.01.Fra
138 reference(s)
77-Galerie_BestOf.FV
138 reference(s)
78-ArtScience.11.Fra
138 reference(s)
79-Vcatalogue.11
137 reference(s)
80-Informations_AboutPicturesAnimationsAndFiles.01.Ang
137 reference(s)
81-subject.01.
136 reference(s)
82-ManyChaos.01.Ang
135 reference(s)
83-genielogiciel_visualisationscientifique.01.vv
134 reference(s)
84-infinity.01.vv
133 reference(s)
85-Galerie_TextureSynthesis.FV
133 reference(s)
86-stereogra.01.c.
132 reference(s)
87-hydrogene.61.K.
132 reference(s)
88-MathematiquesEtCinematographe.01.vv
132 reference(s)
89-Ariane501.01.Fra
132 reference(s)
90-NombresEtLumiere.01.vv.Fra
131 reference(s)
91-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
131 reference(s)
92-Commentaires_SystemeSolaire.01
131 reference(s)
93-Commentaires_DefinitionTransformeeDeFourier.01
131 reference(s)
94-An2000.03.Fra
131 reference(s)
95-VirtualChaos.01.Ang
130 reference(s)
96-MathematiquesModeleOutilArtiste.02.Ang
130 reference(s)
97-An2000.11.Fra
130 reference(s)
98-An2000.05.Fra
130 reference(s)
99-An2000.02.Fra
130 reference(s)
100-catalogue.11..m4.
129 reference(s)
101-ManyChaos.01.Fra
129 reference(s)
102-Galerie_TextureSynthesis.DIAPO.0002
129 reference(s)
103-Galerie_SignalProcessing.FV
129 reference(s)
104-EnsembleDesGaleriesFractales.DIAPO.0001
129 reference(s)
105-Galerie_NewPictures.DIAPO.0002
128 reference(s)
106-Fractal.02
128 reference(s)
107-AVirtualSpaceTimeTravelMachine.Ang.FV
128 reference(s)
108-Spheres.01
127 reference(s)
109-VisSci_SciVis.02
126 reference(s)
110-MathematiquesPhysiqueFractales.01
126 reference(s)
111-JFC
126 reference(s)
112-Galerie_FluidMechanics.FV
126 reference(s)
113-Galerie_DeterministicFractalGeometry.DIAPO.0002
126 reference(s)
114-EnsembleDesGaleries.DIAPO.0001
126 reference(s)
115-Commentaires_DefinitionOctonions.01
126 reference(s)
116-Galerie_SensitivityToRoundingOffErrors.FV
125 reference(s)
117-Galerie_QuantumMechanics.DIAPO.0002
125 reference(s)
118-Galerie_NumberTheory.DIAPO.0002
125 reference(s)
119-Galerie_Astrophysics.DIAPO.0002
125 reference(s)
120-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
125 reference(s)
121-Galerie_NewPictures
124 reference(s)
122-Commentaires_DefinitionComplexes.01
124 reference(s)
123-ExpV_VirE.21
123 reference(s)
124-Commentaires_ProblemeDesNCorps.01
123 reference(s)
125-AvantPropos.01.Fra
123 reference(s)
126-AvantPropos.01.Ang
123 reference(s)
127-ndimensionaldeterministicfractalsets.01.fra
122 reference(s)
128-PatrimoineHumanite.02.Ang
122 reference(s)

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




Copyright (c) Jean-François Colonna, 2012-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2012-2018.