Monthly Best Of on 10/28/2009




Intertwining based on the geometry of a Möbius strip

Jean-François COLONNA
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www.lactamme.polytechnique.fr

CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, École polytechnique, Institut Polytechnique de Paris, CNRS, France

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(CMAP28 WWW site: this page was created on 10/28/2009 and last updated on 10/03/2024 17:01:51 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

(*): Undisplayed pictures -if any- do not exist.



Happy new year 2000
1-1188 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
2-500 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-306 reference(s)		Psychedelic hypercube
4-222 reference(s)
The Lorenz attractor
5-208 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
6-199 reference(s)		The random walk of photons escaping the Sun
7-179 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
8-172 reference(s)
Quark and gluon structure of a nucleon
9-160 reference(s)		Intertwining
10-150 reference(s)		Hypercube
11-148 reference(s)		Quark and gluon structure of a nucleon
12-138 reference(s)
The random walk of photons escaping the Sun
13-134 reference(s)		Autostereogram with an hidden volcano
14-131 reference(s)		Welcome aboard a Virtual Space-Time Travel Machine
15-129 reference(s)		Electron-positron scattering
16-126 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
17-121 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
18-114 reference(s)		Artistic view of the prime numbers
19-106 reference(s)		The Möbius strip
20-99 reference(s)
Particles in a bidimensional box submitted to an attractive central field of gravity
21-93 reference(s)		From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
22-92 reference(s)		Autostereogram with an hidden volcano
23-91 reference(s)		The random walk of photons escaping the Sun
24-78 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
25-77 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
26-77 reference(s)		Autostereogram with an hidden ring and ghost bows
27-76 reference(s)		Autostereogram with an hidden volcano
28-76 reference(s)
The Scream -a Tribute to Edvard Munch-
29-75 reference(s)		Autostereogram with an hidden volcano
30-72 reference(s)		Fractal synthesis of mountains with vegetation and stormy clouds
31-71 reference(s)		Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
32-71 reference(s)
A set of 4x3 stereograms of a few Babel Towers
33-68 reference(s)		Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
34-66 reference(s)		True colors autostereogram of a fractal landscape
35-63 reference(s)		The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
36-59 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)
37-58 reference(s)		Periodical earthquake with multifractal mountains
38-58 reference(s)		A set of 4x3 stereograms of the Solar System with a green virtual planet -virtual planet point of view-
39-57 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
40-56 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
41-56 reference(s)		From Pluto to the Sun (non linear scales)
42-55 reference(s)		Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
43-54 reference(s)		Artistic view of the Big Bang
44-54 reference(s)
The Birth of the Universe
45-54 reference(s)		Rotation about the X axis of the Lorenz attractor
46-53 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
47-52 reference(s)		From the infinitely small to the infinitely big
48-52 reference(s)
Along the border of the Mandelbrot set
49-50 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
50-49 reference(s)		Autostereogram with an hidden volcano
51-48 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
52-48 reference(s)
Quark and gluon dynamics of the nucleon
53-48 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
54-48 reference(s)		A tridimensional Möbius-like manifold defined by means of three tridimensional fields
55-47 reference(s)		The Jeener-Klein triple bottle
56-47 reference(s)
A shell (Jeener surface 1)in motion
57-46 reference(s)		A set of 4x3 stereograms of a few Monument Valleys at sunset
58-45 reference(s)		Chessboard
59-44 reference(s)		Untitled 0131
60-43 reference(s)
Autostereogram of Monument Valley
61-43 reference(s)		LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
62-43 reference(s)		24 evenly distributed points on a sphere by means of simulated annealing
63-42 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
64-42 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
65-41 reference(s)		The generalized Ulam spiral displaying 100 numbers
66-40 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
67-38 reference(s)		The Eratosthene sieve displaying 100x100 numbers
68-38 reference(s)
Black dots (inside random white squares)on a square lattice
69-38 reference(s)		A set of 4x3 stereograms of a tridimensional fractal structure
70-38 reference(s)		The generalized Ulam spiral displaying 1024 numbers
71-37 reference(s)		A set of 4x3 stereograms of a few Monument Valleys at sunset
72-37 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
73-37 reference(s)		Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
74-36 reference(s)		Botticelli anomaly on the Moon
75-35 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
76-35 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
77-35 reference(s)		Cliffs at sunset
78-35 reference(s)		A tridimensional fractal structure
79-34 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
80-34 reference(s)
Mountains at sunrise
81-33 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
82-33 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
83-31 reference(s)		The erection of the Babel Tower
84-31 reference(s)
32 points on a trigonometric circle
85-31 reference(s)		Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
86-31 reference(s)		A quaternionic Julia set -tridimensional cross-section-
87-31 reference(s)		An Archimedes spiral displaying 1000 numbers
88-30 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
89-30 reference(s)		2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
90-30 reference(s)		Extended life game
91-30 reference(s)		Animation of a sunrise on mountains
92-29 reference(s)
An arbitrary surface (Jeener surface 2)
93-29 reference(s)		Artistic view of a quadridimensional Calabi-Yau manifold
94-29 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
95-28 reference(s)		From Pluto to the Sun
96-28 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
97-28 reference(s)		The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
98-27 reference(s)		Alien
99-27 reference(s)		A variable Archimedes spiral displaying 1000 numbers
100-27 reference(s)
The Möbius strip
101-27 reference(s)		Zoom in on a fractal diffusion front in a bidimensional medium obtained by means of a random walk process
102-27 reference(s)		Artistic view of the tridimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to a vertical field of gravity
103-26 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
104-26 reference(s)
Animation of a natural form
105-26 reference(s)		An Archimedes spiral displaying 100 numbers
106-26 reference(s)		A set of 4x3 stereograms of the Solar System with a green virtual planet -virtual planet point of view-
107-26 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)
108-26 reference(s)
The Lorenz attractor
109-26 reference(s)		Happy new year 2000
110-26 reference(s)		Intertwining based on the geometry of a Möbius strip
111-26 reference(s)		The construction of the von Koch curve
112-25 reference(s)
The sum of all '780x575' pictures on 08/30/2009
113-25 reference(s)		Isotropic random walk of 64 particles on a tridimensional square lattice
114-25 reference(s)		A fractal surface (five iterations)defined by means of three bidimensional fields
115-25 reference(s)		Snowy multifractal mountains
116-25 reference(s)
An arbitrary surface (Jeener surface 2)in motion
117-25 reference(s)		Triple impossible staircase
118-25 reference(s)		A shell (Jeener surface 1)
119-25 reference(s)		Intertwining
120-24 reference(s)
A set of 4x3 stereograms of a fractal mountain
121-24 reference(s)		The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
122-24 reference(s)		Tridimensional heterogeneous fractal structure in a tridimensional torus
123-24 reference(s)		Tridimensional fractal structure
124-24 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
125-24 reference(s)		Fractal diffusion front in a bidimensional medium obtained by means of a random walk process
126-24 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-
127-24 reference(s)		A gaussian mixing of a sphere and of the Möbius strip defined by means of three bidimensional fields
128-23 reference(s)




2-The 128 most referenced Pages (*):

(*): Unclickable pages -if any- do not exist.



1-demo_14
1220 reference(s)		2-AVirtualSpaceTimeTravelMachine.Ang
600 reference(s)
3-An2000.01.Fra
564 reference(s)		4-Galerie_GeneralitiesVisualization.FV
391 reference(s)
5-Galerie_TextureSynthesis.FV
343 reference(s)		6-FloatingPointNumbers.01.Fra
339 reference(s)
7-help.
338 reference(s)		8-Fractal.01
336 reference(s)
9-FloatingPointNumbers.01.Ang
329 reference(s)		10-Galerie_ArtisticCreation.FV
317 reference(s)
11-GenieLogiciel_VisualisationScientifique.01.vv
316 reference(s)		12-SurfaceProjector.01.Ang
315 reference(s)
13-AProposSite.01.Fra
305 reference(s)		14-mail.01.vv
303 reference(s)
15-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
301 reference(s)		16-AQuoiServentLesMathematiques.01
298 reference(s)
17-copyright.01.
297 reference(s)		18-Informations_AboutPicturesAnimationsAndFiles.01.Ang
293 reference(s)
19-Galerie_CelestialMechanics.FV
287 reference(s)		20-Galerie_ParticleSystems.FV
286 reference(s)
21-An2000.05.Fra
285 reference(s)		22-Galerie_DeterministicFractalGeometry.FV
284 reference(s)
23-Galerie_ArtAndScience.FV
282 reference(s)		24-AVirtualSpaceTimeTravelMachine.Fra
280 reference(s)
25-catalogue.11
270 reference(s)		26-ImagesDuVirtuel.01.Fra.FV
266 reference(s)
27-AnimFractal.01.
265 reference(s)		28-ExpV_VirE.11
264 reference(s)
29-Commentaires_NKleinBottle.01
261 reference(s)		30-present.01.
257 reference(s)
31-Galerie_NumberTheory.FV
254 reference(s)		32-Galerie_DeterministicChaos.FV
254 reference(s)
33-SurfaceProjector.01.Fra
249 reference(s)		34-RealNumbers.01.Fra
248 reference(s)
35-Informations_AboutPicturesAnimationsAndFiles.01.Fra
246 reference(s)		36-GenieLogiciel.01.Fra
245 reference(s)
37-ExpV_VirE.Fra
245 reference(s)		38-ImagesDuVirtuel.01.Fra
239 reference(s)
39-Vcatalogue.11
237 reference(s)		40-AQuoiServentLesMathematiques.03
236 reference(s)
41-Galerie_QuantumMechanics.FV
228 reference(s)		42-Kepler.02.
224 reference(s)
43-Stereogrammes_AutoStereogrammes.01
222 reference(s)		44-Galerie_Astrophysics.FV
221 reference(s)
45-Autostereograms.01.
219 reference(s)		46-Galerie_NewPictures.FV
216 reference(s)
47-AVirtualSpaceTimeTravelMachine.Fra.FV
215 reference(s)		48-hydrogene.61.K.
213 reference(s)
49-MathematiquesPhysiqueFractales.02
210 reference(s)		50-An2000.02.Fra
208 reference(s)
51-Galerie_BestOf.FV
207 reference(s)		52-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
206 reference(s)
53-EntrelacsIntertwinings.01.Ang
204 reference(s)		54-An2000.01.Ang
204 reference(s)
55-Galerie_AnthropomorphicPatterns.FV
203 reference(s)		56-ExpV_VirE.21
201 reference(s)
57-An2000.04.Fra
201 reference(s)		58-Galerie_SensitivityToRoundingOffErrors.FV
200 reference(s)
59-EntrelacsIntertwinings.01.Fra
200 reference(s)		60-An2000.06.Fra
200 reference(s)
61-infinity.02.vv
199 reference(s)		62-ExpV_VirE.01.Fra
198 reference(s)
63-MonumentValley.01.Ang
197 reference(s)		64-AVirtualSpaceTimeTravelMachine.Ang.FV
196 reference(s)
65-subject.01.
195 reference(s)		66-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
193 reference(s)
67-An2000.03.Fra
193 reference(s)		68-Commentaires_DefinitionTransformeeDeFourier.01
191 reference(s)
69-MonodimensionalCellularAutomata.01.Fra
189 reference(s)		70-PresidentRepublique.01.Fra
188 reference(s)
71-Commentaires_EspaceLyapunovComplexe.01
186 reference(s)		72-Commentaires_SystemeSolaire.01
185 reference(s)
73-An2000.11.Fra
185 reference(s)		74-MathematiquesPhysiqueFractales.01
184 reference(s)
75-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
184 reference(s)		76-MonumentValley.01.Fra
183 reference(s)
77-Galerie_SalonDAutomne
182 reference(s)		78-Galerie_QuantumMechanics.DIAPO.0005
181 reference(s)
79-Commentaires_EnsembleMandelbrotComplexe.01
180 reference(s)		80-AQuoiServentLesMathematiques.02
180 reference(s)
81-create.03.
178 reference(s)		82-Galerie_CollaborativeWorks..FV
177 reference(s)
83-Commentaires_ProblemeDesNCorps.01
177 reference(s)		84-ManyChaos.01.Ang
176 reference(s)
85-Galerie_FluidMechanics.FV
176 reference(s)		86-ArtOrdinateur.01
176 reference(s)
87-Galerie_SalonDAutomne.FV
175 reference(s)		88-Galerie_NewPictures
175 reference(s)
89-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
175 reference(s)		90-PerteDeLAssociativite.01
174 reference(s)
91-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
174 reference(s)		92-ManyChaos.01.Fra
173 reference(s)
93-ExpV_VirE.01.Ang
173 reference(s)		94-demo_14.FV
172 reference(s)
95-Galerie_QuantumMechanics.DIAPO.0003
172 reference(s)		96-Commentaires_RacinesNIemesUniteComplexes.01
172 reference(s)
97-infinity.01.vv
171 reference(s)		98-Informations_GoodNewsAndBadNews.01.Fra
171 reference(s)
99-Galerie_QuantumMechanics.DIAPO.0004
171 reference(s)		100-Galerie_QuantumMechanics.DIAPO.0002
171 reference(s)
101-Commentaires_RacinesTroisiemesUniteComplexes.01
171 reference(s)		102-Commentaires_DefinitionComplexes.01
171 reference(s)
103-ArtScience.01
171 reference(s)		104-VirtualChaos.01.Fra
170 reference(s)
105-PerteDeLAssociativite.01.ADD3
170 reference(s)		106-MonodimensionalCellularAutomata.01.Ang
170 reference(s)
107-PerteDeLAssociativite.01.MUL3
169 reference(s)		108-Galerie_SignalProcessing.FV
169 reference(s)
109-Galeries.01.vv
168 reference(s)		110-Galerie_GeneralitiesVisualization
168 reference(s)
111-Commentaires_Tore.01
168 reference(s)		112-Commentaires_NKleinBottle.02
168 reference(s)
113-ArtScience.11.Fra
168 reference(s)		114-PatrimoineHumanite.02.Fra
167 reference(s)
115-FaireDeLaRecherche.01.vv
167 reference(s)		116-EnsembleDesGaleries.DIAPO.0001
167 reference(s)
117-Ariane501.01.Fra
167 reference(s)		118-Galerie_NewPictures.DIAPO.0001
166 reference(s)
119-Galerie_GeneralitiesVisualization.DIAPO.0014
166 reference(s)		120-Commentaires_ModeleIsingBiDimensionnel.01
166 reference(s)
121-VisSci_SciVis.02
165 reference(s)		122-Galerie_BestOf.DIAPO.0010
165 reference(s)
123-ArtScience.11.Ang
165 reference(s)		124-RemarquesCerveau.01
164 reference(s)
125-DuReelAuVirtuel.01.Fra
164 reference(s)		126-AvantPropos.01.Ang
164 reference(s)
127-Galerie_QuantumMechanics
163 reference(s)		128-VirtualChaos.01.Ang
162 reference(s)

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




Copyright © Jean-François COLONNA, 2009-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2009-2024.