Monthly Best Of on 10/28/2008




A surface between a 'double sphere' and a torus

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 10/28/2008 and last updated on 06/30/2018 14:03:41 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Foggy Babel Tower -a tribute to Brueghel the Elder-
1-7322 reference(s)
The random walk of photons escaping the Sun
2-1116 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-688 reference(s)
Quark and gluon structure of a nucleon
4-334 reference(s)
High temperature particles in a bidimensional box submitted to a vertical field of gravity
5-269 reference(s)
The random walk of photons escaping the Sun
6-244 reference(s)
Particles in a bidimensional box submitted to a repulsive central field of gravity
7-241 reference(s)
Black dots (inside random white squares)on a square lattice
8-241 reference(s)
Particles in a bidimensional box submitted to an attractive central field of gravity
9-239 reference(s)
Hypercube
10-233 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
11-214 reference(s)
Artistic view of the prime numbers
12-190 reference(s)
Perfect impact between 2 particles (yellow and blue)-display with respect of the gravity center (white particle)-
13-179 reference(s)
Autostereogram with an hidden ring and ghost bows
14-171 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
15-153 reference(s)
From Pluto to the Sun (non linear scales)
16-121 reference(s)
Artistic view of the Big Bang
17-120 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
18-120 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)
19-117 reference(s)
The Lorenz attractor
20-116 reference(s)
Quark and gluon dynamics of the nucleon
21-110 reference(s)
Mountains at sunrise
22-100 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
23-98 reference(s)
Paradoxal Monument Valley at sunset
24-96 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
25-96 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
26-93 reference(s)
Quark and gluon structure of a nucleon
27-93 reference(s)
From Pluto to the Sun -extrapolation 2- (non linear scales)
28-92 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
29-91 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0) (bird's-eye view)
30-88 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
31-88 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
32-87 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
33-81 reference(s)
The Birth of the Universe
34-81 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
35-80 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
36-80 reference(s)
Animation of a sunrise on mountains
37-75 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
38-75 reference(s)
Botticelli anomaly on the Moon
39-74 reference(s)
Bidimensional abstract texture with random anthropomorphic patterns
40-70 reference(s)
From Pluto to the Sun
41-68 reference(s)
The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
42-66 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)
43-65 reference(s)
Autostereogram with an hidden volcano
44-63 reference(s)
The Eratosthene sieve displaying 100x100 numbers
45-63 reference(s)
Along the border of the Mandelbrot set
46-62 reference(s)
The Scream -a Tribute to Edvard Munch-
47-62 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
48-62 reference(s)
The tridimensional Ising Model with 2-state spins, temperature=0.4 and random initial conditions
49-62 reference(s)
Electron diffraction
50-62 reference(s)
Artistic view of a quadridimensional Calabi-Yau manifold
51-62 reference(s)
The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
52-61 reference(s)
The Möbius strip
53-60 reference(s)
The tridimensional Ising Model with 2-state spins, temperature=0.1 and random initial conditions
54-60 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
55-60 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
56-60 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
57-59 reference(s)
The random walk of photons escaping the Sun
58-59 reference(s)
Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
59-59 reference(s)
The irreversibility of the numerical bidimensional billiard
60-58 reference(s)
From Pluto to the Sun -extrapolation 1- (non linear scales)
61-58 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
62-58 reference(s)
Electron-positron scattering
63-58 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
64-56 reference(s)
The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
65-56 reference(s)
Jean-François Colonna
66-56 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
67-55 reference(s)
Particle collisions without energy loss in a tridimensional space with display of the velocity histogram
68-55 reference(s)
Rotation about the X axis of the Lorenz attractor
69-55 reference(s)
A Tribute to Archimedes
70-54 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
71-53 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
72-51 reference(s)
The tridimensional field defining the three coordinates of a tridimensional twisted torus-like manifold
73-51 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-
74-50 reference(s)
Bidimensional cross-sections inside the tridimensional Ising Model with 2-state spins, temperature=0.4 and random initial conditions
75-49 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)
76-48 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
77-48 reference(s)
Autostereogram with an hidden volcano
78-46 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
79-46 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)
80-46 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)
81-46 reference(s)
From the infinitely small to the infinitely big
82-46 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
83-46 reference(s)
16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
84-45 reference(s)
Autostereogram with an hidden volcano
85-45 reference(s)
Simulation of 'from Pluto to the Sun' with pure uniform circular motions (linear scales)
86-45 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)
87-45 reference(s)
A shell (Jeener surface 1)in motion
88-44 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
89-43 reference(s)
The set of bidimensional fields defining the 'X' coordinate of a dynamic 'crumpled' Klein bottle
90-43 reference(s)
White Hole
91-43 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
92-42 reference(s)
Along the border of the Mandelbrot set
93-42 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
94-42 reference(s)
Intertwining based on the geometry of the sphere
95-42 reference(s)
Quantum vacuum fluctuations
96-41 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
97-41 reference(s)
Fractal diffusion front in a bidimensional medium obtained by means of identical interacting particles
98-41 reference(s)
Cauliflowers, seaweeds, shells,... with fog
99-41 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)-sensitivity to initial conditions-
100-41 reference(s)
The tridimensional field defining the three coordinates of the Jeener-Mobuis tridimensional manifold
101-41 reference(s)
Rotation about X and Y axes of the Boy surface
102-40 reference(s)
Particle collisions with energy loss in a tridimensional space with display of the velocity histogram
103-40 reference(s)
Bidimensional Sierpinski billiard with 64 random particles, with collisions and display of their gravity center -white particle-
104-40 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
105-40 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
106-40 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
107-40 reference(s)
The tridimensional field defining the 'X' coordinate of a tridimensional Möbius-like manifold
108-39 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)
109-39 reference(s)
Animation of a quaternionic Julia island
110-39 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
111-39 reference(s)
A perfect bidimensional piston with following initial conditions: moving piston, same temperature for the particles at left and at right, and with display of velocity histograms
112-38 reference(s)
Diffusion between two boxes (initial conditions: the left one is empty, the right one contains 256 particles), with collisions and a time-dependent geometry
113-38 reference(s)
Animation of a natural form
114-38 reference(s)
The generalized Ulam spiral displaying 100 numbers
115-38 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
116-37 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
117-37 reference(s)
The tridimensional field defining the three coordinates of a tridimensional Möbius-like manifold
118-37 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-
119-37 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
120-37 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
121-37 reference(s)
An Archimedes spiral displaying 1000 numbers
122-36 reference(s)
Erosion in Monument Valley with fog
123-36 reference(s)
Simulation of 'from Pluto to the Sun -extrapolation 2-' with pure uniform circular motions (non linear scales)
124-36 reference(s)
16 complex Julia sets
125-36 reference(s)
Rotation about the Y (vertical)axis of the CMAP logo that can also be viewed as a set of 4x3 stereograms
126-36 reference(s)
Quantum vacuum fluctuation dynamics
127-35 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
128-35 reference(s)




2-The 128 most referenced Pages:



1-demo_14
1285 reference(s)
2-AVirtualSpaceTimeTravelMachine.Ang
597 reference(s)
3-An2000.01.Fra
495 reference(s)
4-help.
398 reference(s)
5-Galerie_GeneralitiesVisualization.FV
300 reference(s)
6-copyright.01.
276 reference(s)
7-Galerie_Astrophysics.DIAPO.0001
271 reference(s)
8-mail.01.vv
268 reference(s)
9-Fractal.01
266 reference(s)
10-Galerie_ArtisticCreation.FV
257 reference(s)
11-Informations_AboutPicturesAnimationsAndFiles.01.Ang
255 reference(s)
12-ImagesDuVirtuel.01.Fra
249 reference(s)
13-SurfaceProjector.01.Ang
237 reference(s)
14-FloatingPointNumbers.01.Ang
230 reference(s)
15-Autostereograms.01.
230 reference(s)
16-Galerie_DeterministicFractalGeometry.FV
229 reference(s)
17-Galerie_NumberTheory.FV
228 reference(s)
18-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
225 reference(s)
19-ImagesDuVirtuel.01.Fra.FV
219 reference(s)
20-FloatingPointNumbers.01.Fra
217 reference(s)
21-Galerie_ArtAndScience.FV
208 reference(s)
22-ExpV_VirE.11
207 reference(s)
23-AnimFractal.01.
206 reference(s)
24-Galerie_NewPictures.FV
201 reference(s)
25-AVirtualSpaceTimeTravelMachine.Fra
197 reference(s)
26-AQuoiServentLesMathematiques.01
193 reference(s)
27-Galerie_QuantumMechanics.FV
192 reference(s)
28-Galerie_ParticleSystems.FV
192 reference(s)
29-Stereogrammes_AutoStereogrammes.01
188 reference(s)
30-Galerie_TextureSynthesis.FV
188 reference(s)
31-Galerie_DeterministicChaos.FV
187 reference(s)
32-GenieLogiciel.01.Fra
186 reference(s)
33-present.01.
185 reference(s)
34-EntrelacsIntertwinings.01.Fra
184 reference(s)
35-ExpV_VirE.21
182 reference(s)
36-AProposSite.01.Fra
178 reference(s)
37-RealNumbers.01.Fra
176 reference(s)
38-ExpV_VirE.Fra
174 reference(s)
39-SurfaceProjector.01.Fra
172 reference(s)
40-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
168 reference(s)
41-Galerie_CelestialMechanics.FV
165 reference(s)
42-Galerie_SignalProcessing.FV
164 reference(s)
43-infinity.02.vv
161 reference(s)
44-Commentaires_SystemeSolaire.01
159 reference(s)
45-AVirtualSpaceTimeTravelMachine.Fra.FV
159 reference(s)
46-Galerie_BestOf.FV
158 reference(s)
47-AQuoiServentLesMathematiques.03
158 reference(s)
48-Kepler.02.
156 reference(s)
49-ExpV_VirE.Ang
156 reference(s)
50-ManyChaos.01.Ang
155 reference(s)
51-Vcatalogue.11
152 reference(s)
52-ExpV_VirE.01.Ang
150 reference(s)
53-Galerie_FluidMechanics.DIAPO.0001
148 reference(s)
54-Galerie_DeterministicFractalGeometry.DIAPO.0001
148 reference(s)
55-MonumentValley.01.Fra
146 reference(s)
56-An2000.02.Fra
146 reference(s)
57-Galerie_Astrophysics.FV
145 reference(s)
58-MathematiquesPhysiqueFractales.01
144 reference(s)
59-Galerie_CelestialMechanics
144 reference(s)
60-Galerie_Astrophysics.DIAPO.0002
144 reference(s)
61-ExpV_VirE.01.Fra
144 reference(s)
62-EnsembleDesGaleries.DIAPO.0001
144 reference(s)
63-Galerie_SalonDAutomne.FV
143 reference(s)
64-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
143 reference(s)
65-Galeries.01.vv
142 reference(s)
66-Galerie_FluidMechanics.FV
142 reference(s)
67-Galerie_CollaborativeWorks..FV
142 reference(s)
68-VisSci_SciVis.02
141 reference(s)
69-Galerie_NumberTheory.DIAPO.0001
141 reference(s)
70-DuModeleALImage.01.Fra
141 reference(s)
71-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
141 reference(s)
72-Commentaires_EspaceLyapunovComplexe.01
141 reference(s)
73-An2000.05.Fra
141 reference(s)
74-Galerie_SensitivityToRoundingOffErrors.FV
140 reference(s)
75-AvantPropos.01.Ang
140 reference(s)
76-catalogue.11
139 reference(s)
77-MonumentValley.01.Ang
139 reference(s)
78-Commentaires_DefinitionTransformeeDeFourier.01
139 reference(s)
79-ArtScience.11.Fra
139 reference(s)
80-Commentaires_DefinitionComplexes.01
138 reference(s)
81-PerteDeLAssociativite.01
137 reference(s)
82-Informations_AboutPicturesAnimationsAndFiles.01.Fra
135 reference(s)
83-Galerie_QuantumMechanics.DIAPO.0001
135 reference(s)
84-Commentaires_ModeleIsingBiDimensionnel.01
135 reference(s)
85-ManyChaos.01.Fra
134 reference(s)
86-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
134 reference(s)
87-Galerie_NewPictures
134 reference(s)
88-Galerie_AnthropomorphicPatterns.FV
134 reference(s)
89-real.01.vv.
132 reference(s)
90-infinity.01.vv
132 reference(s)
91-Galerie_BestOf.DIAPO.0001
132 reference(s)
92-Commentaires_NKleinBottle.01
132 reference(s)
93-AQuoiServentLesMathematiques.02
132 reference(s)
94-create.03.
131 reference(s)
95-relativity.01.
130 reference(s)
96-VisSci_SciVis.01
130 reference(s)
97-VirtualChaos.01.Fra
130 reference(s)
98-VirtualChaos.01.Ang
129 reference(s)
99-Galerie_DeterministicChaos.DIAPO.0001
129 reference(s)
100-ArtOrdinateur.01
129 reference(s)
101-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0001
128 reference(s)
102-Galerie_CelestialMechanics.DIAPO.0001
128 reference(s)
103-Commentaires_ProblemeDesNCorps.01
128 reference(s)
104-An2000.03.Fra
128 reference(s)
105-An2000.01.Ang
128 reference(s)
106-subject.01.
127 reference(s)
107-ImpossibleStructures.01.Ang
127 reference(s)
108-Galerie_DeterministicFractalGeometry
127 reference(s)
109-An2000.04.Fra
127 reference(s)
110-AVirtualSpaceTimeTravelMachine.Ang.FV
127 reference(s)
111-Galerie_DeterministicChaos
126 reference(s)
112-EntrelacsIntertwinings.01.Ang
126 reference(s)
113-DuModeleALaPriseDeDecision.01.Fra
126 reference(s)
114-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
126 reference(s)
115-Commentaires_DefinitionQuaternions.01
126 reference(s)
116-demo_14.FV
125 reference(s)
117-Spheres.01
125 reference(s)
118-Galerie_QuantumMechanics
125 reference(s)
119-Galerie_NumberTheory
125 reference(s)
120-Galerie_NewPictures.DIAPO.0001
125 reference(s)
121-Galerie_ArtisticCreation.DIAPO.0001
125 reference(s)
122-An2000.06.Fra
125 reference(s)
123-infinity.01.vv.DIAPO.0001
124 reference(s)
124-RemarquesCerveau.01
124 reference(s)
125-LOG_xiMc.11
124 reference(s)
126-Galerie_ParticleSystems
124 reference(s)
127-Galerie_ArtisticCreation
124 reference(s)
128-Galerie_ArtAndScience.DIAPO.0001
124 reference(s)

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




Copyright (c) Jean-François Colonna, 2008-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2008-2018.