Monthly Best Of on 05/28/2009




Anaglyph of a close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-

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 05/28/2009 and last updated on 06/30/2018 14:04:32 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Tridimensional representation of a quadridimensional Calabi-Yau manifold
1-554 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-263 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
3-191 reference(s)
Quark and gluon structure of a nucleon
4-173 reference(s)
Autostereogram with an hidden volcano
5-171 reference(s)
The Lorenz attractor
6-142 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
7-134 reference(s)
Autostereogram with an hidden volcano
8-111 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
9-105 reference(s)
Hypercube
10-102 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
11-98 reference(s)
Quark and gluon structure of a nucleon
12-97 reference(s)
Artistic view of the prime numbers
13-95 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0) (bird's-eye view)
14-92 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
15-92 reference(s)
Particles in a bidimensional box submitted to an attractive central field of gravity
16-91 reference(s)
The random walk of photons escaping the Sun
17-83 reference(s)
Mountains at sunrise
18-83 reference(s)
Quark and gluon dynamics of the nucleon
19-80 reference(s)
Happy new year 2000
20-76 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
21-75 reference(s)
Intertwining
22-72 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
23-72 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
24-67 reference(s)
Paradoxal Monument Valley at sunset
25-66 reference(s)
Autostereogram with an hidden ring and ghost bows
26-64 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
27-64 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
28-63 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
29-60 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
30-56 reference(s)
Jean-François Colonna
31-53 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
32-52 reference(s)
The Jeener's quintuple Klein bottle
33-52 reference(s)
Along the border of the Mandelbrot set
34-50 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
35-50 reference(s)
From Pluto to the Sun (non linear scales)
36-50 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
37-50 reference(s)
Autostereogram with an hidden volcano
38-47 reference(s)
The Eratosthene sieve displaying 100x100 numbers
39-47 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
40-47 reference(s)
Black dots (inside random white squares)on a square lattice
41-47 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
42-46 reference(s)
Animation of a sunrise on mountains
43-46 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
44-45 reference(s)
The Scream -a Tribute to Edvard Munch-
45-45 reference(s)
The generalized Ulam spiral displaying 100 numbers
46-44 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
47-43 reference(s)
The Birth of the Universe
48-43 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
49-43 reference(s)
Botticelli anomaly on the Moon
50-41 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
51-41 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+20.0)x(-15.0,+15.0)
52-40 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
53-40 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
54-40 reference(s)
Autostereogram with an hidden volcano and an animated disguise texture
55-39 reference(s)
The generalized Ulam spiral displaying 1024 numbers
56-39 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
57-39 reference(s)
Electron diffraction
58-39 reference(s)
An Archimedes spiral displaying 1000 numbers
59-38 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
60-38 reference(s)
No Title 0119
61-37 reference(s)
Erosion of a set of four bidimensional random (with large scale correlations)islands
62-37 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
63-37 reference(s)
A quaternionic Julia set -tridimensional cross-section-
64-36 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)
65-35 reference(s)
A shell (Jeener surface 1)in motion
66-35 reference(s)
Rotation about the X axis of the Lorenz attractor
67-34 reference(s)
The random walk of photons escaping the Sun
68-33 reference(s)
Snowy multifractal mountains
69-33 reference(s)
The Jeener's triple Klein bottle
70-33 reference(s)
Artistic view of the Big Bang
71-32 reference(s)
Electron-positron scattering
72-32 reference(s)
The random walk of photons escaping the Sun
73-31 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
74-31 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)
75-31 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-
76-31 reference(s)
Along the border of the Mandelbrot set
77-30 reference(s)
A 'double' interpolation between two intertwinings
78-30 reference(s)
Intertwining
79-30 reference(s)
Dynamics of the even distribution of 12 points on a sphere -an Icosahedron- by means of simulated annealing
80-30 reference(s)
Volcano
81-30 reference(s)
Rotation about X and Y axes of the Boy surface
82-29 reference(s)
Isotropic random walk of 4 particles on a bidimensional square lattice with display of their gravity center -white particle-
83-29 reference(s)
The Eratosthene sieve displaying 10x10 numbers
84-29 reference(s)
An arbitrary surface (Jeener surface 2)in motion
85-29 reference(s)
Extended life game
86-29 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 -close-up-
87-29 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
88-29 reference(s)
Recursive intertwining
89-28 reference(s)
Autostereogram with an hidden volcano
90-28 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
91-28 reference(s)
The foggy Earth planet
92-28 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
93-27 reference(s)
Alien
94-27 reference(s)
Cloud dynamics -this sequence being periodical, bird's-eye view-
95-27 reference(s)
The Boy surface
96-26 reference(s)
A perfect bidimensional piston with following initial conditions: still piston, high temperature particles at left and low temperature particles at right, in a bidimensional box submitted to a vertical field of gravity
97-26 reference(s)
Quaternionic shell fossil
98-26 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-
99-26 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
100-26 reference(s)
An arbitrary surface (Jeener surface 2)in motion
101-26 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
102-26 reference(s)
Quantum vacuum fluctuations
103-25 reference(s)
Chessboard
104-25 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
105-25 reference(s)
A fractal surface (five iterations)defined by means of three bidimensional fields
106-25 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
107-25 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
108-25 reference(s)
A pyramidal Menger sponge computed by means of an 'Iterated Function System' -IFS-
109-25 reference(s)
Tridimensional heterogeneous fractal structure in a tridimensional torus
110-25 reference(s)
A shell (Jeener surface 1)
111-25 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
112-25 reference(s)
Rotation about the X axis of a tridimensional brownian motion
113-25 reference(s)
The first two iterations of the construction of the von Koch curve
114-24 reference(s)
Intertwining
115-24 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed with 2 slightly different sets of initial conditions (sensitivity to initial conditions)
116-24 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
117-24 reference(s)
A bidimensional fern computed by means of an 'Iterated Function System' -IFS-
118-24 reference(s)
White Hole
119-24 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
120-23 reference(s)
No Title 0118
121-23 reference(s)
Autostereogram with an hidden volcano
122-23 reference(s)
Grand Canyon (bird's-eye view)
123-23 reference(s)
Happy new year 2000
124-23 reference(s)
Zollner optical illusion
125-23 reference(s)
A bidimensional Sierpinski 'carpet' computed by means of an 'Iterated Function System' -IFS-
126-23 reference(s)
Psychedelic hypercube
127-23 reference(s)
Texture animation by means of the generalized Fourier filtering process
128-23 reference(s)




2-The 128 most referenced Pages:



1-demo_14
911 reference(s)
2-AVirtualSpaceTimeTravelMachine.Ang
487 reference(s)
3-An2000.01.Fra
385 reference(s)
4-Galerie_DeterministicFractalGeometry.FV
273 reference(s)
5-An2000.05.Fra
241 reference(s)
6-help.
227 reference(s)
7-Galerie_GeneralitiesVisualization.FV
198 reference(s)
8-Galerie_TextureSynthesis.FV
195 reference(s)
9-FloatingPointNumbers.01.Fra
190 reference(s)
10-SurfaceProjector.01.Ang
189 reference(s)
11-Galerie_ArtisticCreation.FV
178 reference(s)
12-FloatingPointNumbers.01.Ang
178 reference(s)
13-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
177 reference(s)
14-Autostereograms.01.
172 reference(s)
15-Fractal.01
169 reference(s)
16-AProposSite.01.Fra
169 reference(s)
17-AQuoiServentLesMathematiques.01
155 reference(s)
18-present.01.
153 reference(s)
19-Galerie_NumberTheory.FV
153 reference(s)
20-copyright.01.
149 reference(s)
21-Commentaires_DefinitionTransformeeDeFourier.01
146 reference(s)
22-Informations_AboutPicturesAnimationsAndFiles.01.Ang
144 reference(s)
23-mail.01.vv
142 reference(s)
24-Commentaires_NKleinBottle.01
142 reference(s)
25-catalogue.11
141 reference(s)
26-AVirtualSpaceTimeTravelMachine.Fra
141 reference(s)
27-ExpV_VirE.11
139 reference(s)
28-Vcatalogue.11
134 reference(s)
29-Galerie_ParticleSystems.FV
134 reference(s)
30-SurfaceProjector.01.Fra
132 reference(s)
31-Galerie_ArtAndScience.FV
131 reference(s)
32-AnimFractal.01.
128 reference(s)
33-ImagesDuVirtuel.01.Fra
125 reference(s)
34-GenieLogiciel.01.Fra
124 reference(s)
35-Stereogrammes_AutoStereogrammes.01
120 reference(s)
36-Galerie_TextureSynthesis.DIAPO.0156
120 reference(s)
37-AVirtualSpaceTimeTravelMachine.Ang.FV
120 reference(s)
38-Commentaires_SystemeSolaire.01
119 reference(s)
39-RealNumbers.01.Fra
117 reference(s)
40-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
116 reference(s)
41-Galerie_CelestialMechanics.FV
115 reference(s)
42-ExpV_VirE.Fra
114 reference(s)
43-ExpV_VirE.21
113 reference(s)
44-Galeries.01.vv
112 reference(s)
45-Galerie_NewPictures.FV
111 reference(s)
46-EntrelacsIntertwinings.01.Fra
109 reference(s)
47-EntrelacsIntertwinings.01.Ang
109 reference(s)
48-AQuoiServentLesMathematiques.03
107 reference(s)
49-Galerie_DeterministicChaos.FV
105 reference(s)
50-An2000.11.Fra
104 reference(s)
51-Kepler.02.
99 reference(s)
52-ImagesDuVirtuel.01.Fra.FV
97 reference(s)
53-AQuoiServentLesMathematiques.02
94 reference(s)
54-Commentaires_EspaceLyapunovComplexe.01
93 reference(s)
55-LOG_xiMc.11
91 reference(s)
56-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
91 reference(s)
57-Commentaires_DefinitionComplexes.01
89 reference(s)
58-Commentaires_ModeleIsingBiDimensionnel.01
88 reference(s)
59-AVirtualSpaceTimeTravelMachine.Fra.FV
87 reference(s)
60-MonodimensionalCellularAutomata.01.Fra
86 reference(s)
61-MathematiquesPhysiqueFractales.01
86 reference(s)
62-Galerie_SalonDAutomne
86 reference(s)
63-Galerie_QuantumMechanics.FV
85 reference(s)
64-Galerie_NewPictures
85 reference(s)
65-Galerie_QuantumMechanics
84 reference(s)
66-subject.01.
83 reference(s)
67-ManyChaos.01.Ang
83 reference(s)
68-Galerie_FluidMechanics.FV
83 reference(s)
69-Galerie_ArtisticCreation.DIAPO.0078
83 reference(s)
70-Informations_AboutPicturesAnimationsAndFiles.01.Fra
82 reference(s)
71-Galerie_Astrophysics.FV
81 reference(s)
72-EnsembleDesGaleries.DIAPO.0309
81 reference(s)
73-Commentaires_EnsembleMandelbrotComplexe.01
81 reference(s)
74-An2000.02.Fra
81 reference(s)
75-create.03.
80 reference(s)
76-Galerie_NewPictures.DIAPO.0026
80 reference(s)
77-Galerie_NewPictures.DIAPO.0019
80 reference(s)
78-ExpV_VirE.01.Fra
80 reference(s)
79-EnsembleDesGaleries.DIAPO.0308
80 reference(s)
80-Commentaires_DefinitionQuaternions.01
80 reference(s)
81-Galerie_NewPictures.DIAPO.0030
79 reference(s)
82-Galerie_BestOf.FV
79 reference(s)
83-EnsembleDesGaleries.DIAPO.0306
79 reference(s)
84-EnsembleDesGaleries.DIAPO.0305
79 reference(s)
85-EnsembleDesGaleries.DIAPO.0307
78 reference(s)
86-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
78 reference(s)
87-MonodimensionalCellularAutomata.01.Ang
77 reference(s)
88-Galerie_SignalProcessing.FV
77 reference(s)
89-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
77 reference(s)
90-EnsembleDesGaleries.DIAPO.0304
77 reference(s)
91-EnsembleDesGaleries.DIAPO.0302
77 reference(s)
92-Galerie_NewPictures.DIAPO.0022
76 reference(s)
93-Galerie_GeneralitiesVisualization.DIAPO.0037
76 reference(s)
94-Galerie_DeterministicFractalGeometry.DIAPO.0016
76 reference(s)
95-EnsembleDesGaleries.DIAPO.0312
76 reference(s)
96-EnsembleDesGaleries.DIAPO.0311
76 reference(s)
97-EnsembleDesGaleries.DIAPO.0303
76 reference(s)
98-ArtScience.11.Fra
76 reference(s)
99-MonumentValley.01.Fra
75 reference(s)
100-EnsembleDesGaleries.DIAPO.0310
75 reference(s)
101-Commentaires_EnsembleJuliaComplexe.01
75 reference(s)
102-VirtualChaos.01.Fra
74 reference(s)
103-Galerie_NewPictures.DIAPO.0028
74 reference(s)
104-Galerie_NewPictures.DIAPO.0023
74 reference(s)
105-Galerie_ArtisticCreation.DIAPO.0071
74 reference(s)
106-Commentaires_SurfaceDeBoy.01
74 reference(s)
107-ManyChaos.01.Fra
73 reference(s)
108-Galerie_QuantumMechanics.DIAPO.0002
73 reference(s)
109-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
73 reference(s)
110-FaireDeLaRecherche.01.vv
73 reference(s)
111-RemarquesCerveau.01
72 reference(s)
112-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0029
72 reference(s)
113-Galerie_NewPictures.DIAPO.0029
72 reference(s)
114-Galerie_NewPictures.DIAPO.0027
72 reference(s)
115-Galerie_NewPictures.DIAPO.0020
72 reference(s)
116-Galerie_ArtisticCreation.DIAPO.0048
72 reference(s)
117-Commentaires_ProblemeDesNAimants.01
72 reference(s)
118-An2000.01.Ang
72 reference(s)
119-demo_14.FV
71 reference(s)
120-Galerie_ParticleSystems.DIAPO.0027
71 reference(s)
121-Commentaires_ProblemeDesNCorps.01
71 reference(s)
122-AvantPropos.01.Ang
71 reference(s)
123-ArtScience.01
71 reference(s)
124-Informations_GoodNewsAndBadNews.01.Fra
70 reference(s)
125-Galerie_NewPictures.DIAPO.0025
70 reference(s)
126-Galerie_NewPictures.DIAPO.0021
70 reference(s)
127-Galerie_GeneralitiesVisualization.DIAPO.0053
70 reference(s)
128-Galerie_DeterministicChaos
70 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.