Monthly Best Of on 08/28/2009




A gaussian mixing of a sphere and of the Möbius strip defined by means of three bidimensional fields

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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(CMAP28 WWW site: this page was created on 08/28/2009 and last updated on 06/30/2018 14:04:32 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Happy new year 2000
1-894 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-410 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-262 reference(s)
Autostereogram with an hidden volcano
4-178 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
5-155 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
6-134 reference(s)
Electron-positron scattering
7-131 reference(s)
Quark and gluon structure of a nucleon
8-125 reference(s)
Particles in a bidimensional box submitted to an attractive central field of gravity
9-119 reference(s)
Quark and gluon structure of a nucleon
10-113 reference(s)
Artistic view of the prime numbers
11-113 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
12-107 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
13-107 reference(s)
Autostereogram with an hidden volcano
14-105 reference(s)
The Lorenz attractor
15-103 reference(s)
The random walk of photons escaping the Sun
16-99 reference(s)
Autostereogram with an hidden volcano
17-98 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
18-95 reference(s)
Hypercube
19-89 reference(s)
Autostereogram with an hidden ring and ghost bows
20-86 reference(s)
Paradoxal Monument Valley at sunset
21-79 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
22-77 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
23-73 reference(s)
Black dots (inside random white squares)on a square lattice
24-73 reference(s)
Along the border of the Mandelbrot set
25-72 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
26-69 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)
27-67 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
28-65 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
29-62 reference(s)
Jean-François Colonna
30-58 reference(s)
Along the border of the Mandelbrot set
31-57 reference(s)
From Pluto to the Sun (non linear scales)
32-57 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0) (bird's-eye view)
33-56 reference(s)
Quark and gluon dynamics of the nucleon
34-56 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
35-54 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
36-51 reference(s)
Autostereogram with an hidden volcano
37-48 reference(s)
From Pluto to the Sun
38-48 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
39-48 reference(s)
The Birth of the Universe
40-48 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
41-48 reference(s)
16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
42-47 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
43-47 reference(s)
Sixteen interlaced torus
44-47 reference(s)
Botticelli anomaly on the Moon
45-47 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
46-46 reference(s)
A shell (Jeener surface 1)in motion
47-46 reference(s)
From Pluto to the Sun -extrapolation 2-
48-44 reference(s)
Autostereogram with an hidden volcano
49-41 reference(s)
An Archimedes spiral displaying 100 numbers
50-41 reference(s)
Electron diffraction
51-41 reference(s)
From the infinitely small to the infinitely big
52-41 reference(s)
Intertwining
53-40 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
54-40 reference(s)
Rotation about the X axis of the Lorenz attractor
55-39 reference(s)
The Jeener's triple Klein bottle
56-38 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
57-37 reference(s)
The Scream -a Tribute to Edvard Munch-
58-37 reference(s)
Rotation about the Y (vertical)axis of the CMAP logo that can also be viewed as a set of 4x3 stereograms
59-37 reference(s)
The quadruple Jeener bottle
60-37 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
61-35 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
62-35 reference(s)
Rotation about the Y (vertical)axis of sixteen interlaced torus that can also be viewed as a set of 4x3 stereograms
63-35 reference(s)
Tridimensional zoom in on the Mandelbrot set
64-35 reference(s)
The foggy Earth planet
65-35 reference(s)
Cliffs at sunset
66-35 reference(s)
Archimedes spirals
67-35 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
68-34 reference(s)
Snowy multifractal mountains
69-33 reference(s)
Quantum vacuum fluctuations
70-32 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
71-32 reference(s)
Autostereogram with an hidden volcano
72-32 reference(s)
Cauliflowers, seaweeds, shells,... with fog
73-32 reference(s)
Volcano
74-32 reference(s)
A recursive intertwining animation
75-31 reference(s)
From a torus to a cylinder
76-31 reference(s)
Sixty-four interlaced torus
77-31 reference(s)
The generalized Ulam spiral
78-31 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
79-31 reference(s)
Extended life game
80-31 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
81-30 reference(s)
The random walk of photons escaping the Sun
82-30 reference(s)
A Lissajous surface
83-30 reference(s)
No Title 0031
84-30 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
85-30 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
86-30 reference(s)
From Pluto to the Sun -extrapolation 2- (non linear scales)
87-30 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
88-30 reference(s)
An interpolation between sixteen interlaced torus and the quadruple Jeener bottle defined by means of three sets of bidimensional fields
89-29 reference(s)
True colors autostereogram of a fractal landscape
90-29 reference(s)
Artistic view of a quadridimensional Calabi-Yau manifold
91-29 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
92-29 reference(s)
Artistic view of the Big Bang
93-28 reference(s)
The irreversibility of the numerical bidimensional billiard
94-28 reference(s)
Alien
95-28 reference(s)
An Archimedes spiral displaying 1000 numbers
96-28 reference(s)
32 points on a trigonometric circle
97-28 reference(s)
A quaternionic Julia set -tridimensional cross-section-
98-28 reference(s)
La Génèse (1974)
99-28 reference(s)
The generalized Ulam spiral displaying 100 numbers
100-27 reference(s)
The surface of the Moon
101-27 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)
102-27 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
103-26 reference(s)
Artistic view of the Big Bang
104-26 reference(s)
Animation of a sunrise on mountains
105-26 reference(s)
Color display of a tridimensional function
106-26 reference(s)
N-body problem integration (N=4)with one yellow star and two planets (the red one being very heavy and the blue one and its white satellite being light)
107-26 reference(s)
Tridimensional Mondrian -a tribute to Piet Mondrian-
108-26 reference(s)
Lorenz butterfly
109-26 reference(s)
The peeling of a quaternionic Julia set -tridimensional cross-sections-
110-26 reference(s)
The random walk of photons escaping the Sun
111-25 reference(s)
No Title 0058
112-25 reference(s)
Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
113-25 reference(s)
The generalized Ulam spiral displaying 1024 numbers
114-25 reference(s)
The actual Solar System viewed during 243 years from a dark blue virtual planet -this last one approximately belongs to the plane of Pluto and its distance from the Sun equals the one of Uranus-
115-25 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)
116-25 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
117-25 reference(s)
Exploding tridimensional fractal aggregate
118-24 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
119-24 reference(s)
Animation of a natural form
120-24 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
121-24 reference(s)
An interpolation between two sets of interlaced torus -four and sixteen respectively- defined by means of three sets of bidimensional fields
122-24 reference(s)
An interpolation between four interlaced torus and the quadruple Jeener bottle defined by means of three sets of bidimensional fields
123-24 reference(s)
The Eratosthene sieve displaying 10x10 numbers
124-24 reference(s)
Autostereogram of Monument Valley
125-24 reference(s)
Backward tridimensional integration of the wavelet filtering of a bidimensional fractal field
126-24 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
127-24 reference(s)
Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
128-24 reference(s)




2-The 128 most referenced Pages:



1-demo_14
1086 reference(s)
2-AVirtualSpaceTimeTravelMachine.Ang
575 reference(s)
3-An2000.01.Fra
407 reference(s)
4-help.
282 reference(s)
5-Autostereograms.01.
281 reference(s)
6-Galerie_GeneralitiesVisualization.FV
273 reference(s)
7-FloatingPointNumbers.01.Fra
265 reference(s)
8-FloatingPointNumbers.01.Ang
265 reference(s)
9-Stereogrammes_AutoStereogrammes.01
256 reference(s)
10-GenieLogiciel_VisualisationScientifique.01.vv
248 reference(s)
11-SurfaceProjector.01.Ang
245 reference(s)
12-Fractal.01
244 reference(s)
13-AProposSite.01.Fra
244 reference(s)
14-mail.01.vv
239 reference(s)
15-AVirtualSpaceTimeTravelMachine.Fra
239 reference(s)
16-Galerie_ArtisticCreation.FV
236 reference(s)
17-Informations_AboutPicturesAnimationsAndFiles.01.Ang
232 reference(s)
18-catalogue.11
231 reference(s)
19-AQuoiServentLesMathematiques.01
223 reference(s)
20-ImagesDuVirtuel.01.Fra
221 reference(s)
21-copyright.01.
219 reference(s)
22-Vcatalogue.11
219 reference(s)
23-Galerie_DeterministicFractalGeometry.FV
217 reference(s)
24-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
214 reference(s)
25-EntrelacsIntertwinings.01.Fra
213 reference(s)
26-EntrelacsIntertwinings.01.Ang
208 reference(s)
27-RealNumbers.01.Fra
202 reference(s)
28-Galerie_ParticleSystems.FV
202 reference(s)
29-Galeries.01.vv
201 reference(s)
30-Galerie_NewPictures.FV
201 reference(s)
31-Galerie_ArtAndScience.FV
201 reference(s)
32-Galerie_BestOf.FV
199 reference(s)
33-Kepler.02.
198 reference(s)
34-Galerie_TextureSynthesis.FV
198 reference(s)
35-AVirtualSpaceTimeTravelMachine.Ang.FV
194 reference(s)
36-SurfaceProjector.01.Fra
193 reference(s)
37-Galerie_NumberTheory.FV
193 reference(s)
38-ExpV_VirE.11
193 reference(s)
39-Galerie_CelestialMechanics.FV
192 reference(s)
40-present.01.
191 reference(s)
41-Informations_AboutPicturesAnimationsAndFiles.01.Fra
191 reference(s)
42-ExpV_VirE.Fra
190 reference(s)
43-Galerie_QuantumMechanics.FV
188 reference(s)
44-AVirtualSpaceTimeTravelMachine.Fra.FV
187 reference(s)
45-AnimFractal.01.
181 reference(s)
46-GenieLogiciel.01.Fra
180 reference(s)
47-Commentaires_NKleinBottle.01
179 reference(s)
48-An2000.05.Fra
179 reference(s)
49-ExpV_VirE.21
178 reference(s)
50-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
178 reference(s)
51-Commentaires_DefinitionTransformeeDeFourier.01
178 reference(s)
52-An2000.02.Fra
178 reference(s)
53-Galerie_DeterministicChaos.FV
174 reference(s)
54-AQuoiServentLesMathematiques.03
174 reference(s)
55-ImagesDuVirtuel.01.Fra.FV
173 reference(s)
56-RemarquesCerveau.01
169 reference(s)
57-Commentaires_ProblemeDesNAimants.01
169 reference(s)
58-Commentaires_EspaceLyapunovComplexe.01
169 reference(s)
59-infinity.01.vv
168 reference(s)
60-subject.01.
167 reference(s)
61-real.01.vv.
167 reference(s)
62-ExpV_VirE.01.Fra
167 reference(s)
63-AvantPropos.01.Ang
167 reference(s)
64-ArtOrdinateur.01
166 reference(s)
65-PatrimoineHumanite.02.Fra
165 reference(s)
66-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
165 reference(s)
67-AQuoiServentLesMathematiques.02
165 reference(s)
68-MonodimensionalCellularAutomata.01.Fra
164 reference(s)
69-ManyChaos.01.Fra
164 reference(s)
70-create.03.
163 reference(s)
71-VirtualChaos.01.Fra
163 reference(s)
72-MonumentValley.01.Fra
163 reference(s)
73-LOG_xiMc.11
163 reference(s)
74-Galerie_SignalProcessing.FV
163 reference(s)
75-Galerie_SalonDAutomne.FV
163 reference(s)
76-Galerie_NewPictures.DIAPO.0001
163 reference(s)
77-Galerie_Astrophysics.FV
163 reference(s)
78-VirtualChaos.01.Ang
162 reference(s)
79-MonodimensionalCellularAutomata.01.Ang
162 reference(s)
80-An2000.06.Fra
162 reference(s)
81-VisSci_SciVis.01
161 reference(s)
82-Galerie_SensitivityToRoundingOffErrors.FV
161 reference(s)
83-Commentaires_EnsembleMandelbrotQuaternion.01
161 reference(s)
84-ArtScience.11.Ang
161 reference(s)
85-Commentaires_EnsembleJuliaQuaternion.01
160 reference(s)
86-hydrogene.61.K.
159 reference(s)
87-PerteDeLAssociativite.01
159 reference(s)
88-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
159 reference(s)
89-Galerie_NewPictures
159 reference(s)
90-Galerie_GeneralitiesVisualization
159 reference(s)
91-DuModeleALImage.01.Fra
159 reference(s)
92-Commentaires_EnsembleMandelbrotComplexe.01
159 reference(s)
93-Commentaires_DefinitionQuaternions.01
159 reference(s)
94-An2000.01.Ang
159 reference(s)
95-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
158 reference(s)
96-Galerie_FluidMechanics.FV
158 reference(s)
97-ExpV_VirE.Ang
158 reference(s)
98-EnsembleDesGaleries.DIAPO.0001
158 reference(s)
99-ArtScience.01
158 reference(s)
100-demo_14.FV
157 reference(s)
101-MonumentValley.01.Ang
157 reference(s)
102-ArtScience.11.Fra
157 reference(s)
103-An2000.11.Fra
157 reference(s)
104-An2000.04.Fra
157 reference(s)
105-ManyChaos.01.Ang
156 reference(s)
106-Commentaires_SystemeSolaire.01
156 reference(s)
107-VisitesGaleriesEnfouies.01.Fra
155 reference(s)
108-Commentaires_Tore.01
155 reference(s)
109-Commentaires_ProblemeDesNCorps.01
155 reference(s)
110-Commentaires_DefinitionComplexes.01
155 reference(s)
111-Galerie_CollaborativeWorks.
154 reference(s)
112-Commentaires_KleinBottle.02
154 reference(s)
113-VisSci_SciVis.02
153 reference(s)
114-Galerie_QuantumMechanics
153 reference(s)
115-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
153 reference(s)
116-Spheres.01
152 reference(s)
117-Galerie_QuantumMechanics.DIAPO.0001
152 reference(s)
118-Commentaires_StructuresVivantesRecursives.01
152 reference(s)
119-Commentaires_Sphere.01
152 reference(s)
120-Commentaires_RacinesTroisiemesUniteComplexes.01
152 reference(s)
121-VisitesGaleriesEnfouies.01.Ang
151 reference(s)
122-Galerie_AnthropomorphicPatterns.FV
151 reference(s)
123-ImpossibleStructures.01.Ang
150 reference(s)
124-Galerie_CelestialMechanics
150 reference(s)
125-ExpV_VirE.01.Ang
150 reference(s)
126-Commentaires_SurfaceDeBoy.01
150 reference(s)
127-Commentaires_NKleinBottle.02
150 reference(s)
128-Commentaires_ModeleIsingTriDimensionnel.01
150 reference(s)

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




Copyright (c) Jean-François Colonna, 2009-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2009-2018.