Monthly Best Of on 01/28/2009




Tridimensional visualization of the Verhulst dynamics

Jean-François COLONNA
[Contact me]

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 01/28/2009 and last updated on 11/14/2023 17:47:14 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



64 elementary bidimensional binary cellular automata with 1 white starting central point
1-1459 reference(s)		 The random walk of photons escaping the Sun
2-888 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-788 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-272 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
5-271 reference(s)		 The Scream -a Tribute to Edvard Munch-
6-271 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
7-243 reference(s)		 The random walk of photons escaping the Sun
8-224 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
9-218 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
10-192 reference(s)		 Quark and gluon structure of a nucleon
11-186 reference(s)		 Autostereogram with an hidden volcano
12-180 reference(s)
Autostereogram with an hidden ring and ghost bows
13-168 reference(s)		 Black dots (inside random white squares)on a square lattice
14-168 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
15-143 reference(s)		 Artistic view of the prime numbers
16-141 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
17-135 reference(s)		 The Lorenz attractor
18-115 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
19-114 reference(s)		 Autostereogram with an hidden volcano
20-113 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
21-109 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
22-107 reference(s)		 From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
23-100 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
24-99 reference(s)
Quark and gluon structure of a nucleon
25-93 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
26-90 reference(s)		 Autostereogram with an hidden volcano
27-90 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
28-89 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
29-85 reference(s)		 From Pluto to the Sun (non linear scales)
30-82 reference(s)		 Quark and gluon dynamics of the nucleon
31-81 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
32-77 reference(s)
Autostereogram with an hidden volcano and an animated disguise texture
33-76 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
34-76 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
35-76 reference(s)		 Mountains at sunrise
36-75 reference(s)
True colors autostereogram of a fractal landscape
37-74 reference(s)		 High temperature particles in a bidimensional box submitted to a vertical field of gravity
38-73 reference(s)		 Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
39-73 reference(s)		 The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
40-67 reference(s)
Intertwining
41-66 reference(s)		 Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
42-66 reference(s)		 Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
43-66 reference(s)		 The random walk of photons escaping the Sun
44-65 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
45-63 reference(s)		 Artistic view of the Big Bang
46-62 reference(s)		 From Pluto to the Sun -extrapolation 2- (non linear scales)
47-60 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)
48-59 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
49-59 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
50-59 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-
51-58 reference(s)		 The Birth of the Universe
52-57 reference(s)
Perfect impact between 2 particles (yellow and blue)-display with respect of the gravity center (white particle)-
53-57 reference(s)		 The Eratosthene sieve displaying 100x100 numbers
54-56 reference(s)		 Particles in a bidimensional box submitted to a repulsive central field of gravity
55-55 reference(s)		 Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
56-55 reference(s)
Hypercube
57-54 reference(s)		 Artistic view of a quadridimensional Calabi-Yau manifold
58-54 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)
59-53 reference(s)		 Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
60-53 reference(s)
The normal field of the Klein bottle
61-52 reference(s)		 The Möbius strip
62-51 reference(s)		 Electron-positron scattering
63-51 reference(s)		 Particles in a bidimensional box submitted to an attractive central field of gravity
64-50 reference(s)
Quantum vacuum fluctuations
65-49 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
66-48 reference(s)		 From Pluto to the Sun -extrapolation 1- (non linear scales)
67-48 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
68-48 reference(s)
The foggy Earth planet
69-48 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
70-47 reference(s)		 The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
71-46 reference(s)		 Electron diffraction
72-46 reference(s)
Erosion of a tridimensional random medium
73-46 reference(s)		 The generalized Ulam spiral displaying 100 numbers
74-45 reference(s)		 Rotation about the X axis of the Lorenz attractor
75-44 reference(s)		 Earthquake with multifractal mountains
76-43 reference(s)
Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
77-42 reference(s)		 Along the border of the Mandelbrot set
78-41 reference(s)		 Autostereogram with an hidden volcano
79-41 reference(s)		 Animation of a natural form
80-41 reference(s)
Botticelli anomaly on the Moon
81-40 reference(s)		 Waltzing Monument Valley
82-40 reference(s)		 Artistic view of the trajectories of tridimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to a vertical field of gravity
83-39 reference(s)		 A variable Archimedes spiral displaying 1000 numbers
84-39 reference(s)
Erosion in Monument Valley with fog
85-39 reference(s)		 N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)-sensitivity to initial conditions-
86-39 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
87-39 reference(s)		 The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
88-38 reference(s)
From the infinitely small to the infinitely big
89-38 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
90-37 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
91-37 reference(s)		 The Eratosthene sieve displaying 10x10 numbers
92-37 reference(s)
Extended life game
93-37 reference(s)		 Quantum vacuum fluctuation dynamics
94-36 reference(s)		 La Génèse (1974)
95-36 reference(s)		 24 evenly distributed points on a sphere by means of simulated annealing
96-35 reference(s)
Simulation of 'from Pluto to the Sun' with pure uniform circular motions (linear scales)
97-34 reference(s)		 A shell (Jeener surface 1)in motion
98-34 reference(s)		 The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
99-34 reference(s)		 Rotation about the Y (vertical)axis of a tridimensional fractal aggregate that can also be viewed as a set of 4x3 pseudo-stereograms
100-33 reference(s)
Bidimensional domino effect
101-33 reference(s)		 Dynamics of the even distribution of 8 points on a sphere by means of simulated annealing
102-33 reference(s)		 A dynamic 'crumpled' Klein bottle defined by means of three sets of bidimensional fields
103-33 reference(s)		 Animation of a sunrise on mountains
104-33 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
105-33 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
106-33 reference(s)		 The Lorenz attractor
107-33 reference(s)		 White Hole
108-33 reference(s)
The first two iterations of the construction of the von Koch curve
109-32 reference(s)		 Tridimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to a vertical field of gravity
110-32 reference(s)		 Animation of a natural form
111-32 reference(s)		 The set of bidimensional fractal fields used to define the three coordinates of a dynamic 'crumpled' Klein bottle
112-32 reference(s)
The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
113-32 reference(s)		 Animation of a quaternionic Julia island
114-32 reference(s)		 Long term evolution of a landscape
115-32 reference(s)		 Tridimensional display of the rounding-off errors when computing the Verhulst dynamics
116-31 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
117-31 reference(s)		 An interpolation between the Möbius strip and a 'double sphere' defined by means of three sets of bidimensional fields
118-31 reference(s)		 Dynamics of an erosion process (bird's-eye view)
119-31 reference(s)		 The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
120-31 reference(s)
Tridimensional fractal structure
121-31 reference(s)		 Dynamics of a bidimensional fractal structure
122-31 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
123-31 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
124-30 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)
125-30 reference(s)		 The journey of an Earth-like planet (blue)from Mars (red) to the Sun (yellow)
126-30 reference(s)		 An arbitrary surface (Jeener surface 2)in motion
127-30 reference(s)		 Foggy seaboard
128-30 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
1083 reference(s)		 2-AVirtualSpaceTimeTravelMachine.Ang
553 reference(s)
3-An2000.01.Fra
428 reference(s)		 4-help.
344 reference(s)
5-mail.01.vv
275 reference(s)		 6-copyright.01.
249 reference(s)
7-Galerie_ArtisticCreation.FV
221 reference(s)		 8-Informations_AboutPicturesAnimationsAndFiles.01.Ang
212 reference(s)
9-Galerie_GeneralitiesVisualization.FV
209 reference(s)		 10-Galerie_NumberTheory.FV
205 reference(s)
11-Fractal.01
205 reference(s)		 12-AProposSite.01.Fra
195 reference(s)
13-FloatingPointNumbers.01.Ang
194 reference(s)		 14-AVirtualSpaceTimeTravelMachine.Fra
189 reference(s)
15-FloatingPointNumbers.01.Fra
188 reference(s)		 16-SurfaceProjector.01.Ang
186 reference(s)
17-AQuoiServentLesMathematiques.01
185 reference(s)		 18-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
184 reference(s)
19-Autostereograms.01.
176 reference(s)		 20-ImagesDuVirtuel.01.Fra
174 reference(s)
21-Galerie_DeterministicFractalGeometry.FV
166 reference(s)		 22-Galerie_ParticleSystems.FV
158 reference(s)
23-ExpV_VirE.11
155 reference(s)		 24-present.01.
148 reference(s)
25-SurfaceProjector.01.Fra
148 reference(s)		 26-ImagesDuVirtuel.01.Fra.FV
147 reference(s)
27-Galerie_CelestialMechanics.FV
147 reference(s)		 28-EntrelacsIntertwinings.01.Fra
142 reference(s)
29-Galerie_DeterministicChaos.FV
140 reference(s)		 30-Galerie_QuantumMechanics.FV
137 reference(s)
31-Commentaires_DefinitionTransformeeDeFourier.01
137 reference(s)		 32-Stereogrammes_AutoStereogrammes.01
136 reference(s)
33-AnimFractal.01.
136 reference(s)		 34-GenieLogiciel.01.Fra
133 reference(s)
35-AVirtualSpaceTimeTravelMachine.Fra.FV
131 reference(s)		 36-catalogue.11
130 reference(s)
37-ExpV_VirE.Fra
130 reference(s)		 38-Commentaires_EspaceLyapunovComplexe.01
129 reference(s)
39-AvantPropos.01.Ang
128 reference(s)		 40-Galerie_TextureSynthesis.FV
127 reference(s)
41-AVirtualSpaceTimeTravelMachine.Ang.FV
125 reference(s)		 42-Kepler.02.
124 reference(s)
43-Commentaires_SystemeSolaire.01
124 reference(s)		 44-EnsembleDesGaleries.DIAPO.0001
123 reference(s)
45-Informations_AboutPicturesAnimationsAndFiles.01.Fra
122 reference(s)		 46-Galerie_ArtAndScience.FV
122 reference(s)
47-RealNumbers.01.Fra
121 reference(s)		 48-Galerie_SignalProcessing.FV
121 reference(s)
49-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
119 reference(s)		 50-ExpV_VirE.21
118 reference(s)
51-EntrelacsIntertwinings.01.Ang
118 reference(s)		 52-Commentaires_NKleinBottle.01
118 reference(s)
53-Vcatalogue.11
114 reference(s)		 54-MathematiquesPhysiqueFractales.01
111 reference(s)
55-ExpV_VirE.01.Fra
111 reference(s)		 56-An2000.05.Fra
111 reference(s)
57-AQuoiServentLesMathematiques.03
110 reference(s)		 58-MonumentValley.01.Fra
109 reference(s)
59-MonodimensionalCellularAutomata.01.Fra
109 reference(s)		 60-Galerie_NewPictures.FV
109 reference(s)
61-Commentaires_DefinitionQuaternions.01
109 reference(s)		 62-Galerie_Astrophysics.FV
108 reference(s)
63-An2000.02.Fra
108 reference(s)		 64-ExpV_VirE.01.Ang
107 reference(s)
65-Commentaires_ProblemeDesNAimants.01
107 reference(s)		 66-Commentaires_ModeleIsingBiDimensionnel.01
107 reference(s)
67-Galerie_SalonDAutomne.FV
106 reference(s)		 68-create.03.
105 reference(s)
69-Galerie_SensitivityToRoundingOffErrors.FV
104 reference(s)		 70-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
104 reference(s)
71-Commentaires_DefinitionComplexes.01
104 reference(s)		 72-subject.01.
103 reference(s)
73-Commentaires_EnsembleJuliaComplexe.01
103 reference(s)		 74-Galerie_NewPictures
102 reference(s)
75-Galerie_BestOf.FV
102 reference(s)		 76-AQuoiServentLesMathematiques.02
102 reference(s)
77-Galerie_FluidMechanics
101 reference(s)		 78-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
100 reference(s)
79-PerteDeLAssociativite.01
99 reference(s)		 80-MonodimensionalCellularAutomata.01.Ang
99 reference(s)
81-Galerie_NumberTheory
99 reference(s)		 82-MonumentValley.01.Ang
98 reference(s)
83-Galerie_QuantumMechanics
98 reference(s)		 84-Galerie_DeterministicFractalGeometry
98 reference(s)
85-Galerie_CollaborativeWorks.
98 reference(s)		 86-VisSci_SciVis.02
97 reference(s)
87-ManyChaos.01.Fra
97 reference(s)		 88-Informations_GoodNewsAndBadNews.01.Fra
97 reference(s)
89-ArtScience.11.Fra
97 reference(s)		 90-ManyChaos.01.Ang
96 reference(s)
91-Galerie_QuantumMechanics.DIAPO.0001
96 reference(s)		 92-Galerie_CollaborativeWorks..FV
96 reference(s)
93-Galerie_ArtisticCreation.DIAPO.0001
96 reference(s)		 94-Commentaires_EnsembleMandelbrotComplexe.01
96 reference(s)
95-ArtScience.01
96 reference(s)		 96-An2000.03.Fra
96 reference(s)
97-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
95 reference(s)		 98-Galerie_GeneralitiesVisualization
95 reference(s)
99-Galerie_FluidMechanics.FV
95 reference(s)		 100-Galerie_DeterministicChaos
94 reference(s)
101-Galerie_ArtisticCreation
94 reference(s)		 102-Commentaires_Cylindre.01
94 reference(s)
103-ArtOrdinateur.01
94 reference(s)		 104-An2000.04.Fra
94 reference(s)
105-infinity.01.vv
93 reference(s)		 106-demo_14.FV
93 reference(s)
107-LOG_xiMc.11
93 reference(s)		 108-Galerie_NewPictures.DIAPO.0001
93 reference(s)
109-Galerie_CelestialMechanics
93 reference(s)		 110-Galerie_ArtAndScience.DIAPO.0001
93 reference(s)
111-Galerie_AnthropomorphicPatterns.FV
93 reference(s)		 112-Commentaires_ProblemeDesNCorps.01
93 reference(s)
113-Commentaires_DoubleJeenerBottle.01
93 reference(s)		 114-real.01.vv.
92 reference(s)
115-Galerie_FluidMechanics.DIAPO.0001
92 reference(s)		 116-Galerie_DeterministicFractalGeometry.DIAPO.0001
92 reference(s)
117-FaireDeLaRecherche.01.vv
92 reference(s)		 118-Commentaires_RacinesTroisiemesUniteComplexes.01
92 reference(s)
119-Commentaires_RacinesNIemesUniteComplexes.01
92 reference(s)		 120-VisSci_SciVis.01
91 reference(s)
121-VirtualChaos.01.Ang
91 reference(s)		 122-Spheres.01
91 reference(s)
123-Galerie_FromTheInfinitelySmallToTheInfinitelyBig
91 reference(s)		 124-Galerie_CelestialMechanics.DIAPO.0001
91 reference(s)
125-Commentaires_EnsembleMandelbrotQuaternion.01
91 reference(s)		 126-Galeries.01.vv
90 reference(s)
127-DuModeleALImage.01.Fra
90 reference(s)		 128-Commentaires_EnsembleJuliaQuaternion.01
90 reference(s)

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




Copyright © Jean-François COLONNA, 2009-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2009-2023.