Monthly Best Of on 05/28/2008




The empty square lattice -initial conditions-

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

[Site Map, Help and Search [Plan du Site, Aide et Recherche]]
[The Y2K bug [Le bug de l'an 2000]]
[Do you believe that Real Numbers exist for a computer and that floating point computations are safe?]
[Please, visit A Virtual Space-Time Travel Machine, the place where you can find thousands of pictures and animations between Art and Science]
(CMAP28 WWW site: this page was created on 05/28/2008 and last updated on 06/30/2018 14:03:38 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Tridimensional representation of a quadridimensional Calabi-Yau manifold
1-1014 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-188 reference(s)
The random walk of photons escaping the Sun
3-137 reference(s)
Hypercube
4-99 reference(s)
The random walk of photons escaping the Sun
5-75 reference(s)
Black dots (inside random white squares)on a square lattice
6-70 reference(s)
Quark and gluon structure of a nucleon
7-61 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
8-55 reference(s)
Artistic view of the prime numbers
9-55 reference(s)
Quark and gluon dynamics of the nucleon
10-54 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0) (bird's-eye view)
11-48 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
12-41 reference(s)
The Lorenz attractor
13-39 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
14-37 reference(s)
Artistic view of the Big Bang
15-37 reference(s)
From Pluto to the Sun (non linear scales)
16-34 reference(s)
White Hole
17-34 reference(s)
Quark and gluon structure of a nucleon
18-33 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
19-31 reference(s)
Electron diffraction
20-31 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
21-31 reference(s)
The Birth of the Universe
22-30 reference(s)
Botticelli anomaly on the Moon
23-28 reference(s)
Paradoxal Monument Valley at sunset
24-27 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
25-27 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
26-26 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
27-25 reference(s)
No Title 0098
28-25 reference(s)
Vibrations 0003
29-24 reference(s)
No Title 0101
30-24 reference(s)
Rotation about the X axis of the Lorenz attractor
31-24 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
32-24 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
33-24 reference(s)
Isotropic random walk of 64 particles on a tridimensional square lattice
34-23 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
35-23 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)
36-23 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
37-23 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
38-23 reference(s)
Artistic view of the Klein bottle
39-23 reference(s)
Autostereogram with an hidden volcano
40-22 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)
41-22 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
42-22 reference(s)
Autostereogram with an hidden volcano and fractal phenomenon
43-21 reference(s)
Autostereogram with an hidden volcano
44-21 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
45-21 reference(s)
The City and the Stars -a Tribute to Arthur C. Clarke-
46-20 reference(s)
Autostereogram with an hidden volcano
47-20 reference(s)
Synthesis of tridimensional symmetrical geometrical textures
48-19 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
49-18 reference(s)
From Pluto to the Sun -extrapolation 2- (non linear scales)
50-18 reference(s)
Jean-François Colonna
51-18 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
52-17 reference(s)
A Tribute to Archimedes
53-17 reference(s)
Animation of a natural form
54-17 reference(s)
26 evenly distributed points on a sphere by means of simulated annealing displayed after a (0,0,1)sphere inversion
55-17 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
56-17 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
57-17 reference(s)
Along the border of the Mandelbrot set
58-16 reference(s)
The set of bidimensional fields defining the 'X' coordinate of a dynamic 'crumpled' Klein bottle
59-16 reference(s)
The Scream -a Tribute to Edvard Munch-
60-16 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-
61-16 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)
62-16 reference(s)
16 complex Julia sets
63-16 reference(s)
Quantum vacuum fluctuations
64-15 reference(s)
No Title 0100
65-15 reference(s)
Alien
66-15 reference(s)
The Möbius strip
67-15 reference(s)
A shell (Jeener surface 1)in motion
68-15 reference(s)
No Title 0102
69-14 reference(s)
Bidimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to a vertical field of gravity
70-14 reference(s)
The irreversibility of the numerical bidimensional billiard
71-14 reference(s)
26 evenly distributed points on a sphere by means of simulated annealing
72-14 reference(s)
From Pluto to the Sun
73-14 reference(s)
The non linear transformation of the coordinates in the Solar System
74-14 reference(s)
From Pluto to the Sun -extrapolation 1- (non linear scales)
75-14 reference(s)
The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
76-14 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)-sensitivity to initial conditions-
77-14 reference(s)
N-body problem integration (N=10)displaying the actual Solar System
78-14 reference(s)
Tridimensional zoom in on the Mandelbrot set
79-14 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
80-14 reference(s)
From the infinitely small to the infinitely big
81-14 reference(s)
Voronoi diagrams
82-13 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
83-13 reference(s)
No Title 0097
84-13 reference(s)
The random walk of photons escaping the Sun
85-13 reference(s)
26 evenly distributed points on a sphere by means of simulated annealing displayed upon the (PHI,TETA)plane
86-13 reference(s)
Animation of the artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
87-13 reference(s)
The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
88-13 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)
89-13 reference(s)
A quaternionic Julia set -tridimensional cross-section-
90-13 reference(s)
Extended life game
91-13 reference(s)
Electron-positron scattering
92-13 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
93-13 reference(s)
Artistic view of a quadridimensional Calabi-Yau manifold
94-13 reference(s)
Rotation about the X axis of a tridimensional brownian motion
95-13 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
96-12 reference(s)
Autostereogram with an hidden volcano
97-12 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
98-12 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
99-12 reference(s)
Cauliflowers, seaweeds, shells,... with fog
100-12 reference(s)
Animation of bidimensional symmetrical geometrical textures
101-12 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
102-12 reference(s)
A 'fractal plane' with overhangings defined by means of three bidimensional fields
103-12 reference(s)
The Eratosthene sieve displaying 100x100 numbers
104-12 reference(s)
The set of bidimensional fields defining the 'Y' coordinate of a dynamic 'crumpled' Klein bottle
105-12 reference(s)
Simulation of 'from Pluto to the Sun' with pure uniform circular motions (linear scales)
106-12 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Earth point of view-
107-12 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)
108-12 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
109-12 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
110-12 reference(s)
Tridimensional fractal structure
111-12 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-
112-12 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
113-11 reference(s)
26 evenly distributed points on a sphere by means of simulated annealing
114-11 reference(s)
Texture animation by means of the Generalized Product
115-11 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
116-11 reference(s)
Animation of a sunrise on mountains
117-11 reference(s)
The journey of an Earth-like planet (blue)from Mars (red) to the Sun (yellow)
118-11 reference(s)
An arbitrary surface (Jeener surface 2)in motion
119-11 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
120-11 reference(s)
3-foil torus knots
121-11 reference(s)
Texture animation by means of Fourier interpolation
122-11 reference(s)
Psychedelic hypercube
123-11 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
124-11 reference(s)
Archimedes spirals
125-11 reference(s)
Along the border of the Mandelbrot set
126-10 reference(s)
Cross-sections inside a tridimensional fractal aggregate
127-10 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
128-10 reference(s)




2-The 128 most referenced Pages:



1-demo_14
546 reference(s)
2-AVirtualSpaceTimeTravelMachine.Ang
243 reference(s)
3-An2000.01.Fra
157 reference(s)
4-demo_14.FV
114 reference(s)
5-FloatingPointNumbers.01.Fra
96 reference(s)
6-Galerie_Astrophysics.DIAPO.0001
90 reference(s)
7-VisSci_SciVis.01
87 reference(s)
8-Autostereograms.01.
85 reference(s)
9-ExpV_VirE.Ang
83 reference(s)
10-AQuoiServentLesMathematiques.01
78 reference(s)
11-ImagesDuVirtuel.01.Fra
77 reference(s)
12-Fractal.01
77 reference(s)
13-help.
76 reference(s)
14-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
74 reference(s)
15-FloatingPointNumbers.01.Ang
71 reference(s)
16-SurfaceProjector.01.Fra
69 reference(s)
17-Galerie_DeterministicFractalGeometry.FV
69 reference(s)
18-Galerie_ArtisticCreation.FV
69 reference(s)
19-ExpV_VirE.21
69 reference(s)
20-Stereogrammes_AutoStereogrammes.01
67 reference(s)
21-Galerie_QuantumMechanics.FV
67 reference(s)
22-Galerie_CelestialMechanics.FV
67 reference(s)
23-Galerie_NumberTheory.FV
66 reference(s)
24-Commentaires_DefinitionComplexes.01
64 reference(s)
25-Galerie_ParticleSystems.FV
62 reference(s)
26-SurfaceProjector.01.Ang
60 reference(s)
27-Galerie_GeneralitiesVisualization.FV
60 reference(s)
28-AVirtualSpaceTimeTravelMachine.Ang.FV
60 reference(s)
29-present.01.
59 reference(s)
30-copyright.01.
59 reference(s)
31-ExpV_VirE.Fra
59 reference(s)
32-AVirtualSpaceTimeTravelMachine.Fra
59 reference(s)
33-ExpV_VirE.11
58 reference(s)
34-Informations_AboutPicturesAnimationsAndFiles.01.Ang
57 reference(s)
35-ImagesDuVirtuel.01.Fra.FV
56 reference(s)
36-Commentaires_NKleinBottle.01
55 reference(s)
37-Commentaires_DefinitionTransformeeDeFourier.01
55 reference(s)
38-Galerie_DeterministicChaos.FV
53 reference(s)
39-Commentaires_SystemeSolaire.01
53 reference(s)
40-AVirtualSpaceTimeTravelMachine.Fra.FV
53 reference(s)
41-GenieLogiciel.01.Fra
52 reference(s)
42-Galerie_TextureSynthesis.FV
52 reference(s)
43-Galerie_ArtAndScience.FV
52 reference(s)
44-ArtOrdinateur.01
52 reference(s)
45-AQuoiServentLesMathematiques.03
52 reference(s)
46-RealNumbers.01.Fra
51 reference(s)
47-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
51 reference(s)
48-Informations_GoodNewsAndBadNews.01.Fra
50 reference(s)
49-Galerie_DeterministicFractalGeometry
50 reference(s)
50-AnimFractal.01.
50 reference(s)
51-EnsembleDesGaleries.DIAPO.0001
49 reference(s)
52-An2000.03.Fra
48 reference(s)
53-subject.01.
47 reference(s)
54-VisSci_SciVis.02
47 reference(s)
55-RemarquesCerveau.01
47 reference(s)
56-PerteDeLAssociativite.01
47 reference(s)
57-Kepler.02.
47 reference(s)
58-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
47 reference(s)
59-Commentaires_EspaceLyapunovComplexe.01
47 reference(s)
60-ArtScience.01
47 reference(s)
61-Vcatalogue.11
46 reference(s)
62-Galerie_SignalProcessing.FV
46 reference(s)
63-Galerie_QuantumMechanics
46 reference(s)
64-DuReelAuVirtuel.01.Fra
46 reference(s)
65-Commentaires_Tore.01
46 reference(s)
66-mail.01.vv
45 reference(s)
67-VisitesGaleriesEnfouies.01.Fra
45 reference(s)
68-VirtualChaos.01.Fra
45 reference(s)
69-Galerie_ArtisticCreation.DIAPO.0001
45 reference(s)
70-ExpV_VirE.01.Ang
45 reference(s)
71-DuModeleALaPriseDeDecision.01.Fra
45 reference(s)
72-An2000.02.Fra
45 reference(s)
73-AProposSite.01.Fra
45 reference(s)
74-VirtualChaos.01.Ang
44 reference(s)
75-Galerie_NewPictures.DIAPO.0001
44 reference(s)
76-Galerie_FluidMechanics.FV
44 reference(s)
77-MathematiquesPhysiqueFractales.01
43 reference(s)
78-Galerie_QuantumMechanics.DIAPO.0001
43 reference(s)
79-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
43 reference(s)
80-create.03.
42 reference(s)
81-PatrimoineHumanite.02.Fra
42 reference(s)
82-MonumentValley.01.Fra
42 reference(s)
83-Galeries.01.vv
42 reference(s)
84-Galerie_TextureSynthesis
42 reference(s)
85-Galerie_SalonDAutomne.FV
42 reference(s)
86-Galerie_NumberTheory
42 reference(s)
87-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
42 reference(s)
88-Galerie_BestOf.DIAPO.0001
42 reference(s)
89-Galerie_Astrophysics.DIAPO.0002
42 reference(s)
90-ExpV_VirE.01.Fra
42 reference(s)
91-Commentaires_Sphere.01
42 reference(s)
92-Commentaires_ProblemeDesNAimants.01
42 reference(s)
93-Commentaires_DefinitionQuaternions.01
42 reference(s)
94-An2000.04.Fra
42 reference(s)
95-FaireDeLaRecherche.01.vv
41 reference(s)
96-ArtScience.11.Fra
41 reference(s)
97-ManyChaos.01.Fra
40 reference(s)
98-Galerie_NewPictures.FV
40 reference(s)
99-Galerie_FluidMechanics
40 reference(s)
100-Galerie_DeterministicChaos.DIAPO.0001
40 reference(s)
101-Galerie_CollaborativeWorks..FV
40 reference(s)
102-Commentaires_SurfaceDeBoy.01
40 reference(s)
103-Commentaires_ProblemeDesNCorps.01
40 reference(s)
104-Commentaires_ModeleIsingBiDimensionnel.01
40 reference(s)
105-AvantPropos.01.Ang
40 reference(s)
106-An2000.06.Fra
40 reference(s)
107-real.01.vv.
39 reference(s)
108-Informations_AboutPicturesAnimationsAndFiles.01.Fra
39 reference(s)
109-ImpossibleStructures.01.Fra
39 reference(s)
110-Galerie_SensitivityToRoundingOffErrors.FV
39 reference(s)
111-Galerie_SalonDAutomne
39 reference(s)
112-Galerie_DeterministicChaos
39 reference(s)
113-Galerie_CelestialMechanics
39 reference(s)
114-Galerie_BestOf.FV
39 reference(s)
115-DuModeleALImage.01.Fra
39 reference(s)
116-Commentaires_RacinesTroisiemesUniteComplexes.01
39 reference(s)
117-AvantPropos.01.Fra
39 reference(s)
118-An2000.01.Ang
39 reference(s)
119-infinity.02.vv
38 reference(s)
120-MathematiquesPhysiqueInformatiqueImages.01.Fra
38 reference(s)
121-ManyChaos.01.Ang
38 reference(s)
122-ImpossibleStructures.01.Ang
38 reference(s)
123-Galerie_NewPictures
38 reference(s)
124-MathematiquesEtCinematographe.01.vv
37 reference(s)
125-LOG_xiMc.11
37 reference(s)
126-Galerie_TextureSynthesis.DIAPO.0001
37 reference(s)
127-Galerie_SignalProcessing
37 reference(s)
128-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0001
37 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.