Monthly Best Of on 11/28/2009




A surface between the Klein bottle and a 'double sphere' 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

[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 11/28/2009 and last updated on 06/30/2018 14:04:35 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Happy new year 2000
1-1386 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-280 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-255 reference(s)
Hypercube
4-193 reference(s)
Quark and gluon structure of a nucleon
5-183 reference(s)
Electron-positron scattering
6-171 reference(s)
Autostereogram with an hidden ring and ghost bows
7-154 reference(s)
The Lorenz attractor
8-154 reference(s)
Autostereogram with an hidden volcano
9-148 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
10-147 reference(s)
Quark and gluon structure of a nucleon
11-143 reference(s)
The random walk of photons escaping the Sun
12-137 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
13-120 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
14-119 reference(s)
Autostereogram with an hidden volcano
15-117 reference(s)
The Möbius strip
16-114 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
17-109 reference(s)
The random walk of photons escaping the Sun
18-108 reference(s)
Artistic view of the prime numbers
19-102 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
20-100 reference(s)
Paradoxal Monument Valley at sunset
21-85 reference(s)
Intertwining
22-84 reference(s)
The random walk of photons escaping the Sun
23-82 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
24-81 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
25-75 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0) (bird's-eye view)
26-73 reference(s)
The Scream -a Tribute to Edvard Munch-
27-70 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
28-70 reference(s)
Artistic view of the Big Bang
29-67 reference(s)
Autostereogram with an hidden volcano
30-67 reference(s)
Autostereogram with an hidden volcano
31-66 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
32-65 reference(s)
Along the border of the Mandelbrot set
33-64 reference(s)
Quark and gluon dynamics of the nucleon
34-63 reference(s)
Chessboard
35-61 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)
36-61 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
37-60 reference(s)
A shell (Jeener surface 1)in motion
38-60 reference(s)
Autostereogram with an hidden volcano
39-58 reference(s)
The Jeener's triple Klein bottle
40-58 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
41-57 reference(s)
Jean-François Colonna
42-57 reference(s)
Animation of a sunrise on mountains
43-56 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
44-55 reference(s)
Botticelli anomaly on the Moon
45-53 reference(s)
Quantum vacuum fluctuations
46-52 reference(s)
A tridimensional Möbius-like manifold defined by means of three tridimensional fields
47-52 reference(s)
The generalized Ulam spiral displaying 100 numbers
48-52 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
49-52 reference(s)
From Pluto to the Sun (non linear scales)
50-51 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
51-51 reference(s)
True colors autostereogram of a fractal landscape
52-49 reference(s)
The Birth of the Universe
53-49 reference(s)
The relief -modulus- of the function exp(1/z)defined by means of three bidimensional fields
54-47 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
55-47 reference(s)
A quaternionic Julia set -tridimensional cross-section-
56-46 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
57-44 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
58-44 reference(s)
The generalized Ulam spiral displaying 1024 numbers
59-44 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
60-44 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
61-44 reference(s)
Happy new year 2000
62-43 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
63-43 reference(s)
32 points on a trigonometric circle
64-42 reference(s)
Black dots (inside random white squares)on a square lattice
65-42 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
66-41 reference(s)
The 5x5=25 patches of the tridimensional representation of a quadridimensional Calabi-Yau manifold
67-41 reference(s)
The random walk of photons escaping the Sun
68-40 reference(s)
An arbitrary surface (Jeener surface 2)
69-40 reference(s)
Self-Portrait with intertwining
70-38 reference(s)
An Archimedes spiral displaying 100 numbers
71-38 reference(s)
Tridimensional fractal structure
72-38 reference(s)
The Eratosthene sieve displaying 100x100 numbers
73-37 reference(s)
Autostereogram of Monument Valley
74-37 reference(s)
A shell (Jeener surface 1)
75-37 reference(s)
Zoom in on a fractal diffusion front in a bidimensional medium obtained by means of a random walk process
76-37 reference(s)
Artistic view of a quadridimensional Calabi-Yau manifold
77-37 reference(s)
Foggy islands
78-36 reference(s)
Mountains at sunrise
79-36 reference(s)
Periodical earthquake with multifractal mountains
80-36 reference(s)
Intertwining based on the geometry of a Möbius strip
81-36 reference(s)
The Klein bottle
82-36 reference(s)
The self-similarity of the von Koch curve
83-35 reference(s)
Alien
84-35 reference(s)
A fractal surface (five iterations)defined by means of three bidimensional fields
85-35 reference(s)
Intertwining based on the geometry of the sphere
86-34 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
87-34 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
88-34 reference(s)
Psychedelic hypercube
89-34 reference(s)
From the infinitely small to the infinitely big
90-34 reference(s)
The relief -modulus- of the function exp(1/z)with argument mapping
91-34 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
92-34 reference(s)
Tridimensional fractal structure
93-33 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
94-33 reference(s)
A bidimensional fern computed by means of an 'Iterated Function System' -IFS-
95-33 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0)
96-32 reference(s)
Recursive intertwining
97-32 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
98-32 reference(s)
The surface of the Moon
99-32 reference(s)
Mountains and light clouds
100-32 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
101-32 reference(s)
Foggy steep island
102-32 reference(s)
Rotation about the Y (vertical)axis of the CMAP logo that can also be viewed as a set of 4x3 stereograms
103-32 reference(s)
Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
104-32 reference(s)
Along the border of the Mandelbrot set
105-31 reference(s)
Recursive intertwining
106-31 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
107-31 reference(s)
The Boy surface
108-31 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
109-31 reference(s)
A set of 4x3 stereograms of a tridimensional fractal structure
110-31 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
111-31 reference(s)
The quadruple Jeener bottle
112-31 reference(s)
A Tribute to Archimedes
113-30 reference(s)
A sphere defined by means of three bidimensional fields
114-30 reference(s)
A set of 4x3 stereograms of a few Monument Valleys at sunset
115-30 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)
116-30 reference(s)
Tridimensional heterogeneous fractal structure in a tridimensional torus
117-30 reference(s)
The Jeener's triple Klein bottle
118-30 reference(s)
Synthesis of bidimensional geometrical textures
119-29 reference(s)
The normal field of a fractal surface defined by means of three bidimensional fields
120-29 reference(s)
The Eratosthene sieve displaying 10x10 numbers
121-29 reference(s)
Snowy multifractal mountains
122-29 reference(s)
Mountains with an unnatural star-like structure (bird's-eye view)
123-29 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
124-29 reference(s)
Rotation about the X axis of the Lorenz attractor
125-29 reference(s)
Intertwining based on the geometry of the sphere
126-29 reference(s)
Random intertwining
127-29 reference(s)
Electron-neutrino scattering
128-29 reference(s)




2-The 128 most referenced Pages:



1-demo_14
1411 reference(s)
2-An2000.01.Fra
585 reference(s)
3-AVirtualSpaceTimeTravelMachine.Ang
542 reference(s)
4-help.
390 reference(s)
5-FloatingPointNumbers.01.Fra
376 reference(s)
6-Galerie_GeneralitiesVisualization.FV
372 reference(s)
7-Galerie_TextureSynthesis.FV
339 reference(s)
8-GenieLogiciel_VisualisationScientifique.01.vv
335 reference(s)
9-AProposSite.01.Fra
332 reference(s)
10-FloatingPointNumbers.01.Ang
321 reference(s)
11-mail.01.vv
319 reference(s)
12-Galerie_ArtisticCreation.FV
311 reference(s)
13-copyright.01.
310 reference(s)
14-Fractal.01
307 reference(s)
15-AVirtualSpaceTimeTravelMachine.Fra
304 reference(s)
16-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
294 reference(s)
17-AQuoiServentLesMathematiques.01
294 reference(s)
18-Informations_AboutPicturesAnimationsAndFiles.01.Ang
291 reference(s)
19-SurfaceProjector.01.Ang
276 reference(s)
20-AnimFractal.01.
270 reference(s)
21-Galerie_ParticleSystems.FV
269 reference(s)
22-Galerie_DeterministicFractalGeometry.FV
265 reference(s)
23-An2000.05.Fra
265 reference(s)
24-present.01.
264 reference(s)
25-ExpV_VirE.Fra
262 reference(s)
26-MathematiquesPhysiqueFractales.02
253 reference(s)
27-Galerie_ArtAndScience.FV
249 reference(s)
28-ExpV_VirE.11
248 reference(s)
29-ImagesDuVirtuel.01.Fra.FV
246 reference(s)
30-Informations_AboutPicturesAnimationsAndFiles.01.Fra
244 reference(s)
31-catalogue.11
242 reference(s)
32-RealNumbers.01.Fra
242 reference(s)
33-Galerie_NumberTheory.FV
241 reference(s)
34-Galerie_CelestialMechanics.FV
241 reference(s)
35-ImagesDuVirtuel.01.Fra
240 reference(s)
36-GenieLogiciel.01.Fra
235 reference(s)
37-Stereogrammes_AutoStereogrammes.01
228 reference(s)
38-Vcatalogue.11
227 reference(s)
39-Commentaires_NKleinBottle.01
225 reference(s)
40-SurfaceProjector.01.Fra
223 reference(s)
41-Galerie_QuantumMechanics.FV
223 reference(s)
42-Autostereograms.01.
220 reference(s)
43-Galerie_DeterministicChaos.FV
215 reference(s)
44-Galerie_NewPictures.FV
213 reference(s)
45-Galerie_NewPictures.DIAPO.0019
209 reference(s)
46-An2000.02.Fra
207 reference(s)
47-AQuoiServentLesMathematiques.03
207 reference(s)
48-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
206 reference(s)
49-EntrelacsIntertwinings.01.Fra
206 reference(s)
50-An2000.11.Fra
204 reference(s)
51-Kepler.02.
203 reference(s)
52-hydrogene.61.K.
201 reference(s)
53-MonodimensionalCellularAutomata.01.Fra
201 reference(s)
54-subject.01.
200 reference(s)
55-ExpV_VirE.01.Fra
199 reference(s)
56-An2000.01.Ang
199 reference(s)
57-Galerie_NewPictures.DIAPO.0015
198 reference(s)
58-PresidentRepublique.01.Fra
197 reference(s)
59-Galerie_NewPictures.DIAPO.0017
197 reference(s)
60-An2000.04.Fra
197 reference(s)
61-Galerie_NewPictures.DIAPO.0020
196 reference(s)
62-Galerie_Astrophysics.FV
195 reference(s)
63-EnsembleDesGaleries.DIAPO.0018
195 reference(s)
64-An2000.06.Fra
195 reference(s)
65-Galerie_NewPictures.DIAPO.0016
194 reference(s)
66-EnsembleDesGaleries.DIAPO.0022
194 reference(s)
67-EnsembleDesGaleries.DIAPO.0021
194 reference(s)
68-Commentaires_DefinitionTransformeeDeFourier.01
194 reference(s)
69-Galerie_NewPictures.DIAPO.0021
192 reference(s)
70-Galerie_NewPictures.DIAPO.0018
192 reference(s)
71-Galerie_NewPictures.DIAPO.0022
191 reference(s)
72-EnsembleDesGaleries.DIAPO.0001
191 reference(s)
73-An2000.03.Fra
191 reference(s)
74-Galerie_SensitivityToRoundingOffErrors.FV
190 reference(s)
75-Galerie_NewPictures.DIAPO.0014
190 reference(s)
76-Galerie_ArtisticCreation.DIAPO.0097
190 reference(s)
77-EnsembleDesGaleries.DIAPO.0035
190 reference(s)
78-EnsembleDesGaleries.DIAPO.0015
190 reference(s)
79-Galerie_NewPictures.DIAPO.0011
189 reference(s)
80-EntrelacsIntertwinings.01.Ang
189 reference(s)
81-EnsembleDesGaleries.DIAPO.0572
189 reference(s)
82-EnsembleDesGaleries.DIAPO.0034
189 reference(s)
83-Galeries.01.vv
188 reference(s)
84-Galerie_NewPictures.DIAPO.0012
188 reference(s)
85-Galerie_BestOf.FV
188 reference(s)
86-Galerie_ArtisticCreation.DIAPO.0096
188 reference(s)
87-EnsembleDesGaleries.DIAPO.0496
188 reference(s)
88-ArtScience.11.Ang.DIAPO.0020
188 reference(s)
89-Galerie_GeneralitiesVisualization.DIAPO.0017
187 reference(s)
90-ArtScience.11.Ang.DIAPO.0022
187 reference(s)
91-Galerie_GeneralitiesVisualization.DIAPO.0019
186 reference(s)
92-Galerie_ArtisticCreation.DIAPO.0098
186 reference(s)
93-Galerie_ArtisticCreation.DIAPO.0095
186 reference(s)
94-Galerie_ArtisticCreation.DIAPO.0093
186 reference(s)
95-Galerie_NewPictures.DIAPO.0013
185 reference(s)
96-EnsembleDesGaleries.DIAPO.0036
185 reference(s)
97-ArtScience.11.Ang.DIAPO.0019
185 reference(s)
98-EnsembleDesGaleries.DIAPO.0570
184 reference(s)
99-EnsembleDesGaleries.DIAPO.0033
184 reference(s)
100-EnsembleDesGaleries.DIAPO.0016
184 reference(s)
101-ArtScience.11.Ang.DIAPO.0017
184 reference(s)
102-ManyChaos.01.Fra
183 reference(s)
103-Galerie_GeneralitiesVisualization.DIAPO.0018
183 reference(s)
104-Galerie_AnthropomorphicPatterns.FV
183 reference(s)
105-EnsembleDesGaleries.DIAPO.0020
183 reference(s)
106-ArtScience.11.Ang.DIAPO.0021
183 reference(s)
107-ArtScience.11.Ang.DIAPO.0018
183 reference(s)
108-ExpV_VirE.21
182 reference(s)
109-EnsembleDesGaleries.DIAPO.0573
182 reference(s)
110-EnsembleDesGaleries.DIAPO.0413
182 reference(s)
111-EnsembleDesGaleries.DIAPO.0067
182 reference(s)
112-EnsembleDesGaleries.DIAPO.0032
182 reference(s)
113-ArtScience.11.Ang.DIAPO.0025
182 reference(s)
114-Galerie_NewPictures.DIAPO.0009
181 reference(s)
115-Galerie_ArtisticCreation.DIAPO.0085
181 reference(s)
116-Galerie_ArtAndScience.DIAPO.0019
181 reference(s)
117-EnsembleDesGaleries.DIAPO.0672
181 reference(s)
118-EnsembleDesGaleries.DIAPO.0412
181 reference(s)
119-EnsembleDesGaleries.DIAPO.0211
181 reference(s)
120-EnsembleDesGaleries.DIAPO.0017
181 reference(s)
121-EnsembleDesGaleries.DIAPO.0013
181 reference(s)
122-EnsembleDesGaleries.DIAPO.0012
181 reference(s)
123-ArtScience.11.Ang.DIAPO.0015
181 reference(s)
124-ManyChaos.01.Ang
180 reference(s)
125-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
180 reference(s)
126-Galerie_ArtAndScience.DIAPO.0016
180 reference(s)
127-EnsembleDesGaleries.DIAPO.0676
180 reference(s)
128-EnsembleDesGaleries.DIAPO.0670
180 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.