Monthly Best Of on 01/28/2013




Tridimensional visualization of the Verhulst dynamics

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 01/28/2013 and last updated on 11/14/2023 17:48:10 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The random walk of photons escaping the Sun
1-247 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-162 reference(s)		 Zoom in on the von Koch curve
3-84 reference(s)		 From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
4-76 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
5-75 reference(s)		 Artistic view of the prime numbers
6-70 reference(s)		 Monument Valley à la David Hockney
7-65 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
8-65 reference(s)
Hypercube
9-65 reference(s)		 Happy new year 2000
10-63 reference(s)		 Autostereogram with an hidden volcano
11-59 reference(s)		 Autostereogram with an hidden volcano
12-58 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
13-58 reference(s)		 The Lorenz attractor
14-55 reference(s)		 Autostereogram with an hidden ring and ghost bows
15-54 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
16-50 reference(s)
The Lorenz attractor
17-50 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
18-49 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
19-48 reference(s)		 The random walk of photons escaping the Sun
20-47 reference(s)
The generalized Ulam spiral
21-47 reference(s)		 Autostereogram with an hidden volcano
22-46 reference(s)		 Sixteen interlaced fractal torus
23-43 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
24-42 reference(s)
The tridimensional Ising Model with 2-state spins, temperature=0.2, random initial conditions and an increasing number of iterations -from 100 to 4000-
25-42 reference(s)		 From the infinitely small to the infinitely big
26-40 reference(s)		 Quantum vacuum fluctuations
27-39 reference(s)		 A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
28-39 reference(s)
Autostereogram with an hidden volcano
29-38 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
30-38 reference(s)		 The quaternionic fractal set obtained when computing the roots of Q^3=1 using Newton's method with translation along the third axis of the quaternionic space -tridimensional cross-section-
31-34 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
32-34 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
33-34 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
34-33 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)
35-32 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
36-32 reference(s)
Universe or Multiverse -The fractal Universe-?
37-31 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')for sixteen different lightings -tridimensional cross-section-
38-31 reference(s)		 Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
39-31 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
40-30 reference(s)
Rotation about the Y (vertical)axis of the Jeener-Klein triple bottle that can also be viewed as a set of 4x3 stereograms
41-30 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
42-29 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
43-29 reference(s)		 Along the border of the Mandelbrot set
44-28 reference(s)
Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
45-28 reference(s)		 The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
46-27 reference(s)		 Quark and gluon structure of a nucleon
47-26 reference(s)		 Intertwining
48-25 reference(s)
Quark and gluon structure of a nucleon
49-25 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
50-25 reference(s)		 Autostereogram with an hidden volcano
51-24 reference(s)		 True colors autostereogram of a fractal landscape
52-24 reference(s)
From Pluto to the Sun (non linear scales)
53-24 reference(s)		 A set of 4x3 stereograms of a tridimensional interpolation between a fractal structure and a cubic mesh
54-24 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
55-24 reference(s)		 The Jeener-Klein triple bottle
56-24 reference(s)
Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
57-24 reference(s)		 Quaternionic butterfly with extended arithmetics -a Tribute to Laurent Schwartz-
58-22 reference(s)		 24 evenly distributed points on a sphere by means of simulated annealing
59-22 reference(s)		 An interpolation between a 'double sphere' and a cylinder
60-22 reference(s)
The Syracuse conjecture for U(0)={5,6,7,8,...,20} -tridimensional display-
61-21 reference(s)		 The Scream -a Tribute to Edvard Munch-
62-21 reference(s)		 Rotation about the X axis of the Lorenz attractor
63-21 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
64-21 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
65-20 reference(s)		 The Goldbach conjecture -the Goldbach glacier- for the even numbers from 6 to 1564
66-20 reference(s)		 Volcano
67-20 reference(s)		 The construction process of the von Koch curve
68-19 reference(s)
The Syracuse conjecture for U(0)={1,2,3,4,...,128} -monodimensional display-
69-19 reference(s)		 The generalized Ulam spiral displaying 100 numbers
70-19 reference(s)		 Animation of a sunrise on mountains
71-19 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
72-19 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
73-19 reference(s)		 Rotation about the Y (vertical)axis of the CMAP logo that can also be viewed as a set of 4x3 stereograms
74-19 reference(s)		 The self-similarity of the von Koch curve displayed by means of a zoom in with a ratio that is equal to 3
75-18 reference(s)		 Artistic view of the Big Bang
76-18 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
77-18 reference(s)		 Mountains at sunrise
78-18 reference(s)		 Wavelet transform of a bidimensional fractal field (bird's-eye view)
79-18 reference(s)		 Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
80-18 reference(s)
Tridimensional fractal Self-Portrait
81-18 reference(s)		 A shell (Jeener surface 1)in motion
82-18 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
83-18 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
84-18 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
85-18 reference(s)		 Quantum vacuum fluctuations
86-17 reference(s)		 Two multiplexed autostereograms by means of a pi/2 rotation
87-17 reference(s)		 Quark and gluon dynamics of the nucleon
88-17 reference(s)
A 'fractal plane' with overhangings defined by means of three bidimensional fields
89-17 reference(s)		 Monument Valley à la David Hockney
90-17 reference(s)		 Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
91-17 reference(s)		 The monsters of the lily pond
92-17 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-
93-17 reference(s)		 Tridimensional fractal structure -the space-time foam?-
94-17 reference(s)		 The Syracuse conjecture for U(0)={5,6,7,8,...,20} -polar coordinates display-
95-16 reference(s)		 The Syracuse conjecture for U(0)={5,6,7,8,...,20} -bidimensional display-
96-16 reference(s)
Isotropic random walk of 64 particles on a tridimensional square lattice
97-16 reference(s)		 Mystery mountain at sunrise
98-16 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
99-16 reference(s)		 Close-up on a foggy 'MandelBox' -tridimensional cross-section-
100-16 reference(s)
A quaternionic Julia set -tridimensional cross-section-
101-16 reference(s)		 Sixteen interlaced torus
102-16 reference(s)		 A set of 4x3 stereograms of a tridimensional fractal structure
103-16 reference(s)		 Along the border of the Mandelbrot set
104-15 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
105-15 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
106-15 reference(s)		 Rotation about the Y (vertical)axis of sixteen interlaced torus that can also be viewed as a set of 4x3 stereograms
107-15 reference(s)		 Autostereogram of Monument Valley
108-15 reference(s)
A set of 4x3 stereograms of a close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
109-15 reference(s)		 Tridimensional visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
110-15 reference(s)		 Tridimensional Self-Portrait
111-15 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
112-15 reference(s)
Triple impossible staircase
113-15 reference(s)		 Electron-positron scattering
114-15 reference(s)		 Welcome aboard a Virtual Space-Time Travel Machine
115-15 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
116-15 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
117-14 reference(s)		 The Syracuse conjecture for U(0)={1,2,3,4,...,128} -monodimensional display-
118-14 reference(s)		 The Syracuse conjecture for U(0)={1,2,3,4,...,262144}
119-14 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-
120-14 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
121-14 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 1/O conformal transformation in the pseudo-octonionic space -tridimensional cross-section-
122-14 reference(s)		 The Birth of the Universe
123-14 reference(s)		 Artistic view of a pyramidal Menger sponge computed by means of an 'Iterated Function System' -IFS-
124-14 reference(s)
Tridimensional Hilbert Curve -iteration 3-
125-14 reference(s)		 Sixteen interlaced fractal torus
126-14 reference(s)		 Sixty-four interlaced fractal torus
127-14 reference(s)		 A set of 4x3 stereograms of a tridimensional fractal structure
128-14 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
650 reference(s)		 2-Fractal.01
462 reference(s)
3-An2000.01.Fra
411 reference(s)		 4-AVirtualSpaceTimeTravelMachine.Ang
342 reference(s)
5-Stereogrammes_AutoStereogrammes.01
338 reference(s)		 6-AQuoiServentLesMathematiques.01
337 reference(s)
7-help.
329 reference(s)		 8-FloatingPointNumbers.01.Fra
305 reference(s)
9-fractal.01
302 reference(s)		 10-Galerie_ArtisticCreation.FV
296 reference(s)
11-aquoiserventlesmathematiques.01
291 reference(s)		 12-catalogue.11
281 reference(s)
13-MathematiquesPhysiqueFractales.02
269 reference(s)		 14-MonodimensionalCellularAutomata.01.Fra
241 reference(s)
15-RealNumbers.01.Fra
229 reference(s)		 16-Galerie_NumberTheory.FV
226 reference(s)
17-ExpV_VirE.11
218 reference(s)		 18-mail.01.vv
216 reference(s)
19-GenieLogiciel_VisualisationScientifique.01.vv
209 reference(s)		 20-Galerie_GeneralitiesVisualization.FV
208 reference(s)
21-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
201 reference(s)		 22-copyright.01.
200 reference(s)
23-AnimFractal.01.
200 reference(s)		 24-Galerie_DeterministicFractalGeometry.FV
197 reference(s)
25-FaireDeLaRecherche.01.vv
197 reference(s)		 26-Galerie_NewPictures.FV
195 reference(s)
27-AVirtualSpaceTimeTravelMachine.Fra
193 reference(s)		 28-SurfaceProjector.01.Fra
192 reference(s)
29-DieuScience.01.Fra
189 reference(s)		 30-Galerie_ArtAndScience.FV
185 reference(s)
31-Galerie_QuantumMechanics.FV
184 reference(s)		 32-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
181 reference(s)
33-FloatingPointNumbers.01.Ang
181 reference(s)		 34-SurfaceProjector.01.Ang
180 reference(s)
35-GenieLogiciel.01.Fra
180 reference(s)		 36-GoldenTriangle.01.Fra
178 reference(s)
37-Galerie_ParticleSystems.FV
177 reference(s)		 38-create.03.
175 reference(s)
39-Galerie_CelestialMechanics.FV
175 reference(s)		 40-infinity.01.vv
174 reference(s)
41-ImagesDuVirtuel.01.Fra.FV
174 reference(s)		 42-Fractal.11
173 reference(s)
43-Informations_AboutPicturesAnimationsAndFiles.01.Ang
172 reference(s)		 44-Kepler.02.
171 reference(s)
45-Galerie_BestOf.FV
170 reference(s)		 46-UlamSpiral.01.Ang
168 reference(s)
47-NatureDesMathematiques.01.vv.Fra
168 reference(s)		 48-NombresEtLumiere.01.vv.Fra
167 reference(s)
49-AProposSite.01.Fra
167 reference(s)		 50-Autostereograms.01.
165 reference(s)
51-subject.01.
163 reference(s)		 52-UlamSpiral.01.Fra
163 reference(s)
53-OrdinateurMathematiquesArt.01.Fra
163 reference(s)		 54-NDimensionalDeterministicFractalSets.01.Fra
162 reference(s)
55-Galerie_DeterministicChaos.FV
162 reference(s)		 56-OrdinateursEtCalculs.01.Fra
160 reference(s)
57-PerteDeLAssociativite.01
159 reference(s)		 58-IllusionConnaissance.02
159 reference(s)
59-ImpossibleStructures.01.Ang
158 reference(s)		 60-VirtualChaos.01.Ang
156 reference(s)
61-NDimensionalDeterministicFractalSets.01.Ang
156 reference(s)		 62-EnsembleDesGaleries.DIAPO.0001
156 reference(s)
63-present.01.
155 reference(s)		 64-Galerie_TextureSynthesis.FV
155 reference(s)
65-Galerie_Astrophysics.FV
155 reference(s)		 66-VirtualChaos.01.Fra
154 reference(s)
67-Galerie_SignalProcessing.FV
153 reference(s)		 68-MonodimensionalCellularAutomata.01.Ang
152 reference(s)
69-MathematiquesModeleOutilArtiste.02.Ang
152 reference(s)		 70-MathematiquesEtCinematographe.01.vv
150 reference(s)
71-Galerie_SensitivityToRoundingOffErrors.FV
149 reference(s)		 72-OrdinateursEtCalculs.01.Ang
148 reference(s)
73-ExpV_VirE.Ang
148 reference(s)		 74-ExpV_VirE.21
148 reference(s)
75-Galerie_FluidMechanics.FV
147 reference(s)		 76-RemarquesCerveau.01
146 reference(s)
77-GoldenTriangle.01.Ang
146 reference(s)		 78-ImpossibleStructures.01.Fra
142 reference(s)
79-EntrelacsIntertwinings.01.Fra
142 reference(s)		 80-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
142 reference(s)
81-infinity.02.vv
140 reference(s)		 82-Fractal.02
140 reference(s)
83-Spheres.01
139 reference(s)		 84-MathematiquesEtRepresentations.01.vv.Ang
139 reference(s)
85-LOG_xiMc.11
139 reference(s)		 86-EntrelacsIntertwinings.01.Ang
139 reference(s)
87-EnsembleDesGaleriesFractales.DIAPO.0001
139 reference(s)		 88-VisitesGaleriesEnfouies.01.Fra
138 reference(s)
89-AvantPropos.01.Fra
138 reference(s)		 90-ManyChaos.01.Fra
137 reference(s)
91-ManyChaos.01.Ang
137 reference(s)		 92-Informations_AboutPicturesAnimationsAndFiles.01.Fra
137 reference(s)
93-Commentaires_Cube.01
137 reference(s)		 94-PatrimoineHumanite.02.Fra
136 reference(s)
95-MathematiquesPhysiqueFractales.01
135 reference(s)		 96-Commentaires_DefinitionComplexes.01
135 reference(s)
97-VisitesGaleriesEnfouies.01.Ang
134 reference(s)		 98-AvantPropos.01.Ang
130 reference(s)
99-Vcatalogue.11
127 reference(s)		 100-QuelquesQuestionsSurLaRecherche.01.Fra
127 reference(s)
101-ExpV_VirE.Fra
126 reference(s)		 102-PerteDeLAssociativite.01.MUL3
123 reference(s)
103-fairedelarecherche.01.vv
122 reference(s)		 104-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
121 reference(s)
105-ImagesDuVirtuel.01.Fra
120 reference(s)		 106-ArtScience.11.Fra
118 reference(s)
107-An2000.01.Ang
118 reference(s)		 108-VisSci_SciVis.01
117 reference(s)
109-Commentaires_ProblemeDesNCorps.01
117 reference(s)		 110-real.01.vv.
116 reference(s)
111-EnsembleDesGaleries.DIAPO.0004
116 reference(s)		 112-ExpV_VirE.01.Ang
115 reference(s)
113-Commentaires_NKleinBottle.01
115 reference(s)		 114-PerteDeLAssociativite.01.ADD3
114 reference(s)
115-MonumentValley.01.Fra
114 reference(s)		 116-ExpV_VirE.01.Fra
114 reference(s)
117-Commentaires_DefinitionQuaternions.01
114 reference(s)		 118-EnsembleDesGaleries.DIAPO.0006
113 reference(s)
119-EnsembleDesGaleries.DIAPO.0002
113 reference(s)		 120-Commentaires_ModeleIsingTriDimensionnel.01
113 reference(s)
121-AQuoiServentLesMathematiques.03
113 reference(s)		 122-Galerie_ArtisticCreation.DIAPO.0041
111 reference(s)
123-Commentaires_DefinitionPseudoQuaternions.01
111 reference(s)		 124-AVirtualSpaceTimeTravelMachine.Fra.FV
111 reference(s)
125-xrq_____hydrogene.61.K.
110 reference(s)		 126-Galerie_CelestialMechanics.DIAPO.0006
110 reference(s)
127-EnsembleDesGaleries.DIAPO.0003
110 reference(s)		 128-DuModeleALaPriseDeDecision.01.Fra
110 reference(s)

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




Copyright © Jean-François COLONNA, 2013-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2013-2023.