Monthly Best Of on 11/28/2008




A 'pseudo-gaussian plane' defined by means of three bidimensional fields

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 11/28/2008 and last updated on 11/14/2023 17:47:12 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Tridimensional representation of a quadridimensional Calabi-Yau manifold
1-659 reference(s)		 The random walk of photons escaping the Sun
2-439 reference(s)		 High temperature particles in a bidimensional box submitted to a vertical field of gravity
3-341 reference(s)		 Particles in a bidimensional box submitted to a repulsive central field of gravity
4-335 reference(s)
Particles in a bidimensional box submitted to an attractive central field of gravity
5-333 reference(s)		 Quark and gluon structure of a nucleon
6-333 reference(s)		 Perfect impact between 2 particles (yellow and blue)-display with respect of the gravity center (white particle)-
7-293 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
8-283 reference(s)
The random walk of photons escaping the Sun
9-271 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
10-235 reference(s)		 Black dots (inside random white squares)on a square lattice
11-216 reference(s)		 Autostereogram with an hidden ring and ghost bows
12-203 reference(s)
Hypercube
13-184 reference(s)		 Artistic view of the prime numbers
14-182 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
15-155 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)
16-134 reference(s)
From Pluto to the Sun
17-128 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
18-124 reference(s)		 Mountains at sunrise
19-121 reference(s)		 Welcome aboard a Virtual Space-Time Travel Machine
20-118 reference(s)
The Lorenz attractor
21-116 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
22-109 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
23-109 reference(s)		 From Pluto to the Sun (non linear scales)
24-103 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
25-97 reference(s)		 From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
26-97 reference(s)		 Quark and gluon dynamics of the nucleon
27-96 reference(s)		 Autostereogram with an hidden volcano
28-95 reference(s)
The tridimensional Ising Model with 2-state spins, temperature=0.1 and random initial conditions
29-95 reference(s)		 Autostereogram with an hidden volcano
30-94 reference(s)		 The tridimensional Ising Model with 2-state spins, temperature=0.4 and random initial conditions
31-93 reference(s)		 The Birth of the Universe
32-92 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
33-91 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
34-90 reference(s)		 The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
35-89 reference(s)		 Botticelli anomaly on the Moon
36-86 reference(s)
Quark and gluon structure of a nucleon
37-85 reference(s)		 Animation of a sunrise on mountains
38-84 reference(s)		 N-body problem integration (N=3)with one yellow star and two planets (the red one being very heavy and the blue one being light)
39-79 reference(s)		 The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
40-78 reference(s)
Bidimensional cross-sections inside the tridimensional Ising Model with 2-state spins, temperature=0.4 and random initial conditions
41-78 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
42-77 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
43-75 reference(s)		 Artistic view of the Big Bang
44-72 reference(s)
The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
45-72 reference(s)		 The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
46-72 reference(s)		 From Pluto to the Sun -extrapolation 2- (non linear scales)
47-71 reference(s)		 Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
48-71 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
49-70 reference(s)		 Along the border of the Mandelbrot set
50-69 reference(s)		 Earthquake with multifractal mountains
51-69 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
52-68 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
53-67 reference(s)		 The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
54-67 reference(s)		 Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
55-64 reference(s)		 Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
56-63 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
57-63 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)
58-60 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
59-60 reference(s)		 The bidimensional Ising Model with 2-state spins, a centred gaussian temperature field (minimum=0.035,maximum=0.6)and regular initial conditions (a chessboard)
60-60 reference(s)
The Eratosthene sieve displaying 100x100 numbers
61-59 reference(s)		 The random walk of photons escaping the Sun
62-58 reference(s)		 Rotation about the X axis of the Lorenz attractor
63-58 reference(s)		 From the infinitely small to the infinitely big
64-58 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
65-56 reference(s)		 The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
66-55 reference(s)		 The Scream -a Tribute to Edvard Munch-
67-55 reference(s)		 From Pluto to the Sun -extrapolation 1- (non linear scales)
68-55 reference(s)
The Möbius strip
69-55 reference(s)		 Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
70-54 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
71-54 reference(s)		 Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
72-54 reference(s)
Tridimensional display of cross-sections inside a tridimensional fractal aggregate
73-51 reference(s)		 Electron diffraction
74-51 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-
75-51 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
76-50 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
77-50 reference(s)		 Erosion in Monument Valley with fog
78-50 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
79-50 reference(s)		 Electron-positron scattering
80-50 reference(s)
The foggy Earth planet
81-50 reference(s)		 Autostereogram with an hidden volcano
82-49 reference(s)		 The bidimensional Ising Model with 2-state spins, temperature=0.2 and random initial conditions
83-49 reference(s)		 Along the border of the Mandelbrot set
84-48 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
85-48 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
86-48 reference(s)		 Artistic view of a quadridimensional Calabi-Yau manifold
87-48 reference(s)		 The tridimensional Ising Model with 2-state spins, temperature=0.2 and random initial conditions
88-47 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
89-46 reference(s)		 The tridimensional field defining the three coordinates of a tridimensional twisted torus-like manifold
90-46 reference(s)		 Tridimensional display of the particle density of a bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
91-45 reference(s)		 A dynamic 'crumpled' Klein bottle defined by means of three sets of bidimensional fields
92-45 reference(s)
White Hole
93-45 reference(s)		 Autostereogram with an hidden volcano
94-43 reference(s)		 The generalized Ulam spiral displaying 100 numbers
95-43 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)
96-43 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)
97-43 reference(s)		 Extended life game
98-43 reference(s)		 Rotation about X and Y axes of the Boy surface
99-42 reference(s)		 The numerical irreversibility of the bidimensional billiard
100-42 reference(s)
Particle collisions without energy loss in a tridimensional space with display of the velocity histogram
101-41 reference(s)		 The generalized Ulam spiral displaying 1024 numbers
102-41 reference(s)		 Earthquake
103-41 reference(s)		 The first two iterations of the construction of the von Koch curve
104-40 reference(s)
16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
105-40 reference(s)		 Autostereogram with an hidden volcano and an animated disguise texture
106-40 reference(s)		 Waltzing Monument Valley
107-40 reference(s)		 True colors autostereogram of a fractal landscape
108-40 reference(s)
The bidimensional Ising Model with 2-state spins, temperature=0.2 and regular initial conditions (a chessboard)-display of tilting sites only-
109-40 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
110-40 reference(s)		 Tridimensional zoom in on the Mandelbrot set
111-39 reference(s)		 Foggy seaboard
112-39 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -gravity center of the 9 planets point of view-
113-38 reference(s)		 Animation of a quaternionic Julia island
114-38 reference(s)		 Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
115-38 reference(s)		 Bidimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to an attractive central field of gravity
116-37 reference(s)
Cauliflowers, seaweeds, shells,... with fog
117-37 reference(s)		 Dynamics of the even distribution of 8 points on a sphere by means of simulated annealing
118-37 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
119-37 reference(s)		 Tridimensional fractal structure
120-37 reference(s)
Long term evolution of a landscape
121-37 reference(s)		 Tridimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to a vertical field of gravity
122-36 reference(s)		 The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
123-36 reference(s)		 The Lorenz attractor
124-36 reference(s)
Artistic view of a 2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
125-36 reference(s)		 La Génèse (1974)
126-36 reference(s)		 Zoom in on mountains (with 3D clipping, bird's-eye view)
127-36 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
128-36 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
1550 reference(s)		 2-AVirtualSpaceTimeTravelMachine.Ang
557 reference(s)
3-An2000.01.Fra
440 reference(s)		 4-help.
343 reference(s)
5-Galerie_GeneralitiesVisualization.FV
288 reference(s)		 6-Galerie_ArtisticCreation.FV
268 reference(s)
7-Fractal.01
268 reference(s)		 8-ImagesDuVirtuel.01.Fra
257 reference(s)
9-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
246 reference(s)		 10-Informations_AboutPicturesAnimationsAndFiles.01.Ang
243 reference(s)
11-Galerie_DeterministicFractalGeometry.FV
233 reference(s)		 12-Galerie_NumberTheory.FV
231 reference(s)
13-SurfaceProjector.01.Ang
220 reference(s)		 14-Autostereograms.01.
220 reference(s)
15-ExpV_VirE.11
214 reference(s)		 16-FloatingPointNumbers.01.Ang
210 reference(s)
17-Galerie_ParticleSystems.FV
208 reference(s)		 18-AVirtualSpaceTimeTravelMachine.Fra
208 reference(s)
19-AProposSite.01.Fra
205 reference(s)		 20-copyright.01.
204 reference(s)
21-Stereogrammes_AutoStereogrammes.01
202 reference(s)		 22-mail.01.vv
201 reference(s)
23-FloatingPointNumbers.01.Fra
199 reference(s)		 24-AnimFractal.01.
193 reference(s)
25-GenieLogiciel.01.Fra
192 reference(s)		 26-ImagesDuVirtuel.01.Fra.FV
190 reference(s)
27-Galerie_TextureSynthesis.FV
190 reference(s)		 28-ExpV_VirE.21
190 reference(s)
29-ExpV_VirE.Fra
187 reference(s)		 30-present.01.
185 reference(s)
31-Galerie_QuantumMechanics.FV
179 reference(s)		 32-Galerie_Astrophysics.DIAPO.0001
178 reference(s)
33-Galerie_ArtAndScience.FV
178 reference(s)		 34-Galerie_DeterministicChaos.FV
177 reference(s)
35-Galerie_NewPictures.FV
175 reference(s)		 36-AQuoiServentLesMathematiques.01
175 reference(s)
37-Galerie_CelestialMechanics.FV
165 reference(s)		 38-Galerie_SignalProcessing.FV
160 reference(s)
39-EntrelacsIntertwinings.01.Fra
159 reference(s)		 40-RealNumbers.01.Fra
157 reference(s)
41-AVirtualSpaceTimeTravelMachine.Fra.FV
157 reference(s)		 42-demo_14.FV
156 reference(s)
43-SurfaceProjector.01.Fra
156 reference(s)		 44-EnsembleDesGaleries.DIAPO.0001
156 reference(s)
45-Commentaires_EspaceLyapunovComplexe.01
154 reference(s)		 46-AvantPropos.01.Ang
153 reference(s)
47-Galerie_SalonDAutomne.FV
150 reference(s)		 48-ExpV_VirE.Ang
150 reference(s)
49-AQuoiServentLesMathematiques.03
149 reference(s)		 50-MonumentValley.01.Fra
148 reference(s)
51-AVirtualSpaceTimeTravelMachine.Ang.FV
147 reference(s)		 52-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
146 reference(s)
53-Galerie_BestOf.FV
146 reference(s)		 54-ExpV_VirE.01.Ang
146 reference(s)
55-Commentaires_DefinitionTransformeeDeFourier.01
143 reference(s)		 56-VisSci_SciVis.02
141 reference(s)
57-Kepler.02.
140 reference(s)		 58-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
139 reference(s)
59-ManyChaos.01.Ang
138 reference(s)		 60-An2000.02.Fra
138 reference(s)
61-ExpV_VirE.01.Fra
137 reference(s)		 62-Galerie_SensitivityToRoundingOffErrors.FV
136 reference(s)
63-Galerie_CollaborativeWorks..FV
136 reference(s)		 64-Vcatalogue.11
134 reference(s)
65-DuModeleALImage.01.Fra
134 reference(s)		 66-infinity.02.vv
133 reference(s)
67-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
133 reference(s)		 68-ArtScience.11.Fra
132 reference(s)
69-Galerie_AnthropomorphicPatterns.FV
130 reference(s)		 70-VisSci_SciVis.01
129 reference(s)
71-subject.01.
128 reference(s)		 72-An2000.05.Fra
128 reference(s)
73-PerteDeLAssociativite.01
127 reference(s)		 74-Galerie_FluidMechanics.FV
127 reference(s)
75-Galerie_CelestialMechanics.DIAPO.0001
127 reference(s)		 76-Commentaires_ModeleIsingBiDimensionnel.01
127 reference(s)
77-DuModeleALaPriseDeDecision.01.Fra
126 reference(s)		 78-real.01.vv.
124 reference(s)
79-MonumentValley.01.Ang
123 reference(s)		 80-Commentaires_SystemeSolaire.01
123 reference(s)
81-Galerie_NumberTheory.DIAPO.0001
122 reference(s)		 82-Galerie_FluidMechanics.DIAPO.0001
122 reference(s)
83-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
122 reference(s)		 84-infinity.01.vv
121 reference(s)
85-Galerie_QuantumMechanics.DIAPO.0001
121 reference(s)		 86-Galerie_DeterministicFractalGeometry.DIAPO.0001
121 reference(s)
87-Galerie_Astrophysics.FV
121 reference(s)		 88-Galerie_ArtAndScience.DIAPO.0051
121 reference(s)
89-RemarquesCerveau.01
120 reference(s)		 90-Galeries.01.vv
120 reference(s)
91-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0001
120 reference(s)		 92-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
120 reference(s)
93-Commentaires_NKleinBottle.01
120 reference(s)		 94-relativity.01.
119 reference(s)
95-infinity.01.vv.DIAPO.0001
119 reference(s)		 96-hydrogene.61.K.
119 reference(s)
97-ManyChaos.01.Fra
119 reference(s)		 98-LOG_xiMc.11
119 reference(s)
99-Commentaires_EnsembleMandelbrotComplexe.01
119 reference(s)		 100-VirtualChaos.01.Fra
118 reference(s)
101-Galerie_DeterministicChaos.DIAPO.0001
118 reference(s)		 102-Galerie_QuantumMechanics
117 reference(s)
103-AQuoiServentLesMathematiques.02
117 reference(s)		 104-MathematiquesPhysiqueFractales.01
115 reference(s)
105-Informations_AboutPicturesAnimationsAndFiles.01.Fra
115 reference(s)		 106-Galerie_NewPictures.DIAPO.0001
115 reference(s)
107-Galerie_NewPictures
115 reference(s)		 108-catalogue.11
114 reference(s)
109-ScienceEtVirtuel.01.Fra
114 reference(s)		 110-Commentaires_DefinitionQuaternions.01
114 reference(s)
111-Galerie_DeterministicFractalGeometry
113 reference(s)		 112-Galerie_Astrophysics.DIAPO.0002
113 reference(s)
113-Galerie_ArtisticCreation.DIAPO.0001
112 reference(s)		 114-Galerie_ArtAndScience.DIAPO.0001
112 reference(s)
115-ArtOrdinateur.01
112 reference(s)		 116-AvantPropos.01.Fra
111 reference(s)
117-DuReelAuVirtuel.01.Fra
110 reference(s)		 118-Commentaires_RacinesNIemesUniteComplexes.01
109 reference(s)
119-Commentaires_EnsembleJuliaComplexe.01
109 reference(s)		 120-Galerie_AnthropomorphicPatterns.DIAPO.0001
108 reference(s)
121-FaireDeLaRecherche.01.vv
108 reference(s)		 122-Commentaires_DefinitionComplexes.01
108 reference(s)
123-Galerie_TextureSynthesis.DIAPO.0111
107 reference(s)		 124-Galerie_GeneralitiesVisualization.DIAPO.0001
107 reference(s)
125-Galerie_CelestialMechanics
107 reference(s)		 126-EntrelacsIntertwinings.01.Ang
107 reference(s)
127-An2000.04.Fra
107 reference(s)		 128-Commentaires_EnsembleMandelbrotQuaternion.01
106 reference(s)

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




Copyright © Jean-François COLONNA, 2008-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2008-2023.