Monthly Best Of on 07/28/2007




8 evenly distributed points on a sphere by means of simulated annealing

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
france telecom, France Telecom R&D

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(CMAP28 WWW site: this page was created on 07/28/2007 and last updated on 11/14/2023 17:46:57 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Tridimensional representation of a quadridimensional Calabi-Yau manifold
1-1571 reference(s)		 Black dots (inside random white squares)on a square lattice
2-629 reference(s)		 The Jeener-Klein quintuple bottle
3-436 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
4-416 reference(s)
The Möbius strip
5-388 reference(s)		 The random walk of photons escaping the Sun
6-358 reference(s)		 Quark and gluon structure of a nucleon
7-354 reference(s)		 Hypercube
8-307 reference(s)
The Lorenz attractor
9-299 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
10-293 reference(s)		 Welcome aboard a Virtual Space-Time Travel Machine
11-280 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
12-273 reference(s)
Artistic view of the prime numbers
13-229 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
14-220 reference(s)		 The random walk of photons escaping the Sun
15-219 reference(s)		 The Möbius strip
16-218 reference(s)
Quantum vacuum fluctuations
17-201 reference(s)		 Artistic view of the Big Bang
18-200 reference(s)		 Bidimensional artistic view of the Verhulst dynamics
19-199 reference(s)		 Along the border of the Mandelbrot set
20-192 reference(s)
Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
21-188 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
22-170 reference(s)		 Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
23-164 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
24-163 reference(s)
Animation of a sunrise on mountains
25-157 reference(s)		 Rotation about the X axis of the Lorenz attractor
26-156 reference(s)		 Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
27-156 reference(s)		 Quark and gluon dynamics of the nucleon
28-155 reference(s)
Autostereogram with an hidden volcano
29-153 reference(s)		 Two multiplexed autostereograms by means of a pi/2 rotation
30-151 reference(s)		 The Birth of the Universe
31-146 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
32-143 reference(s)
Bidimensional abstract texture with random anthropomorphic patterns
33-143 reference(s)		 Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
34-141 reference(s)		 From Pluto to the Sun (non linear scales)
35-140 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)
36-139 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
37-134 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
38-132 reference(s)		 Synthesis of tridimensional symmetrical geometrical textures
39-131 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
40-124 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
41-123 reference(s)		 Animation of a natural form
42-121 reference(s)		 The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
43-121 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
44-119 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
45-119 reference(s)		 16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
46-118 reference(s)		 Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
47-117 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)
48-117 reference(s)
Tridimensional domino effect
49-115 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
50-115 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
51-114 reference(s)		 Autostereogram with an hidden ring and ghost bows
52-113 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
53-112 reference(s)		 Autostereogram with an hidden volcano
54-110 reference(s)		 Tridimensional display of the particle density of a bidimensional crenellated billiard
55-110 reference(s)		 Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
56-108 reference(s)
From the infinitely small to the infinitely big
57-108 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
58-107 reference(s)		 Along the border of the Mandelbrot set
59-105 reference(s)		 The numerical irreversibility of the bidimensional billiard
60-105 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
61-104 reference(s)		 Quark and gluon structure of a nucleon
62-102 reference(s)		 Animation of a quaternionic Julia island
63-102 reference(s)		 The Earth, the Life and the Sun
64-100 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
65-100 reference(s)		 Cauliflowers, seaweeds, shells,... with fog
66-99 reference(s)		 Isotropic random walk of 64 particles on a tridimensional square lattice
67-99 reference(s)		 From Pluto to the Sun -extrapolation 2- (non linear scales)
68-99 reference(s)
A variable Archimedes spiral displaying 1000 numbers
69-97 reference(s)		 The generalized Ulam spiral displaying 100 numbers
70-96 reference(s)		 Mountains and light cloud dynamics -this sequence being periodical-
71-96 reference(s)		 A bidimensional fern computed by means of an 'Iterated Function System' -IFS-
72-96 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)
73-95 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
74-95 reference(s)		 2 identical grey squares moving over a grey scale
75-94 reference(s)		 Earthquake with multifractal mountains
76-93 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
77-92 reference(s)		 The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
78-91 reference(s)		 The random walk of photons escaping the Sun
79-91 reference(s)		 Botticelli anomaly on the Moon
80-91 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
81-91 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
82-91 reference(s)		 A pay slip
83-90 reference(s)		 Artistic view of a quadridimensional Calabi-Yau manifold
84-90 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
85-90 reference(s)		 The Scream -a Tribute to Edvard Munch-
86-89 reference(s)		 The bidimensional John Conway's life game
87-89 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
88-89 reference(s)
The random walk of photons escaping the Sun
89-88 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
90-88 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)
91-88 reference(s)		 Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
92-88 reference(s)
Quantum vacuum fluctuation dynamics
93-87 reference(s)		 Animation of bidimensional symmetrical geometrical textures
94-87 reference(s)		 Rotation about the Y (vertical)axis of the CMAP logo that can also be viewed as a set of 4x3 stereograms
95-87 reference(s)		 Tridimensional texture animation by means of the Generalized Product
96-86 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
97-85 reference(s)		 Bidimensional domino effect
98-84 reference(s)		 The tide
99-84 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
100-84 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
101-84 reference(s)		 Mountains at sunrise
102-83 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-
103-83 reference(s)		 2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
104-83 reference(s)
Tridimensional fractal structure
105-83 reference(s)		 Bidimensional rectangular billiard with 50% of small light particles and 50% of big heavy particles submitted to a vertical field of gravity
106-82 reference(s)		 Alien
107-82 reference(s)		 The non linear transformation of the coordinates in the Solar System
108-82 reference(s)
Autostereogram with an hidden volcano
109-81 reference(s)		 Cross-sections inside a tridimensional fractal aggregate
110-81 reference(s)		 From Mars to the Sun
111-81 reference(s)		 Animation of a natural form
112-80 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
113-80 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Jupiter point of view-
114-80 reference(s)		 N-body problem integration (N=2)displaying a perfect Keplerian orbit
115-80 reference(s)		 Waltzing snowy Rocky Mountains
116-80 reference(s)
Autostereogram with an hidden volcano and an animated disguise texture
117-79 reference(s)		 An Archimedes spiral displaying 1000 numbers
118-79 reference(s)		 Rotation about the X axis of the Lorenz attractor (1000 iterations), computed simultaneously on two different computers
119-79 reference(s)		 Electron diffraction
120-79 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
121-78 reference(s)		 24 evenly distributed points on a sphere by means of simulated annealing
122-78 reference(s)		 An interpolation between the Möbius strip and a 'double sphere' defined by means of three sets of bidimensional fields
123-78 reference(s)		 A dynamic 'crumpled' Klein bottle defined by means of three sets of bidimensional fields
124-78 reference(s)
Cloud dynamics -this sequence being periodical- (bird's-eye view)
125-78 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
126-77 reference(s)		 The Lorenz attractor
127-77 reference(s)		 Cauliflowers, seaweeds, shells,...
128-76 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
2397 reference(s)		 2-AVirtualSpaceTimeTravelMachine.Ang
1099 reference(s)
3-An2000.01.Fra
922 reference(s)		 4-help.
641 reference(s)
5-Galerie_GeneralitiesVisualization.FV
479 reference(s)		 6-Stereogrammes_AutoStereogrammes.01
470 reference(s)
7-ImagesDuVirtuel.01.Fra
451 reference(s)		 8-copyright.01.
447 reference(s)
9-Galerie_ArtisticCreation.FV
398 reference(s)		 10-AVirtualSpaceTimeTravelMachine.Fra
398 reference(s)
11-Autostereograms.01.
391 reference(s)		 12-Fractal.01
389 reference(s)
13-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
388 reference(s)		 14-ExpV_VirE.11
388 reference(s)
15-mail.01.vv
386 reference(s)		 16-FloatingPointNumbers.01.Fra
374 reference(s)
17-Informations_AboutPicturesAnimationsAndFiles.01.Ang
357 reference(s)		 18-GenieLogiciel.01.Fra
357 reference(s)
19-present.01.
338 reference(s)		 20-Galerie_NumberTheory.FV
336 reference(s)
21-Galerie_TextureSynthesis.FV
334 reference(s)		 22-ImagesDuVirtuel.01.Fra.FV
326 reference(s)
23-FloatingPointNumbers.01.Ang
325 reference(s)		 24-Galerie_QuantumMechanics.FV
324 reference(s)
25-Galerie_ParticleSystems.FV
324 reference(s)		 26-LOG_xiMc.11
321 reference(s)
27-AVirtualSpaceTimeTravelMachine.Fra.FV
310 reference(s)		 28-SurfaceProjector.01.Ang
306 reference(s)
29-demo_14.FV
305 reference(s)		 30-ArtScience.11.Fra
305 reference(s)
31-ExpV_VirE.Fra
304 reference(s)		 32-ExpV_VirE.21
302 reference(s)
33-Galerie_CelestialMechanics.FV
301 reference(s)		 34-Galerie_DeterministicChaos.FV
294 reference(s)
35-AProposSite.01.Fra
294 reference(s)		 36-Galerie_DeterministicFractalGeometry.FV
293 reference(s)
37-RealNumbers.01.Fra
278 reference(s)		 38-SurfaceProjector.01.Fra
273 reference(s)
39-AnimFractal.01.
273 reference(s)		 40-Galerie_ArtAndScience.FV
272 reference(s)
41-Galerie_NewPictures.FV
267 reference(s)		 42-Commentaires_DefinitionQuaternions.01
267 reference(s)
43-Kepler.02.
265 reference(s)		 44-An2000.02.Fra
265 reference(s)
45-AQuoiServentLesMathematiques.01
258 reference(s)		 46-EnsembleDesGaleries.DIAPO.0001
255 reference(s)
47-create.03.
254 reference(s)		 48-Commentaires_NKleinBottle.01
250 reference(s)
49-Galerie_SignalProcessing.FV
246 reference(s)		 50-ExpV_VirE.01.Fra
244 reference(s)
51-infinity.01.vv.DIAPO.0001
240 reference(s)		 52-AVirtualSpaceTimeTravelMachine.Ang.FV
237 reference(s)
53-Galerie_CelestialMechanics
232 reference(s)		 54-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
231 reference(s)
55-AvantPropos.01.Ang
231 reference(s)		 56-VirtualChaos.01.Fra
229 reference(s)
57-An2000.05.Fra
227 reference(s)		 58-MathematiquesPhysiqueFractales.01
223 reference(s)
59-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
221 reference(s)		 60-ArtOrdinateur.01
217 reference(s)
61-Commentaires_EspaceLyapunovComplexe.01
216 reference(s)		 62-Galeries.01.vv
214 reference(s)
63-MonumentValley.01.Ang
213 reference(s)		 64-DuModeleALImage.01.Fra
212 reference(s)
65-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
211 reference(s)		 66-ExpV_VirE.Ang
211 reference(s)
67-Informations_AboutPicturesAnimationsAndFiles.01.Fra
210 reference(s)		 68-Commentaires_DefinitionComplexes.01
209 reference(s)
69-Galerie_ParticleSystems
208 reference(s)		 70-Galerie_AnthropomorphicPatterns.FV
208 reference(s)
71-subject.01.
207 reference(s)		 72-Galerie_NumberTheory.DIAPO.0001
207 reference(s)
73-Galerie_BestOf.FV
207 reference(s)		 74-An2000.01.Ang
207 reference(s)
75-VisSci_SciVis.01
206 reference(s)		 76-An2000.06.Fra
206 reference(s)
77-An2000.04.Fra
206 reference(s)		 78-RemarquesCerveau.01
205 reference(s)
79-Galerie_CollaborativeWorks.
204 reference(s)		 80-ExpV_VirE.01.Ang
204 reference(s)
81-Commentaires_ProblemeDesNAimants.01
204 reference(s)		 82-An2000.11.Fra
204 reference(s)
83-Galerie_SalonDAutomne.FV
203 reference(s)		 84-Galerie_FluidMechanics.FV
203 reference(s)
85-ArtScience.01
203 reference(s)		 86-MonumentValley.01.Fra
202 reference(s)
87-ManyChaos.01.Fra
202 reference(s)		 88-Galerie_SensitivityToRoundingOffErrors.FV
201 reference(s)
89-Galerie_DeterministicFractalGeometry.DIAPO.0001
201 reference(s)		 90-Commentaires_DefinitionTransformeeDeFourier.01
201 reference(s)
91-Galerie_NewPictures.DIAPO.0001
200 reference(s)		 92-Galerie_ArtisticCreation.DIAPO.0001
199 reference(s)
93-AQuoiServentLesMathematiques.03
199 reference(s)		 94-Galerie_AnthropomorphicPatterns.DIAPO.0001
198 reference(s)
95-infinity.01.vv
197 reference(s)		 96-catalogue.11
197 reference(s)
97-Galerie_DeterministicChaos.DIAPO.0001
197 reference(s)		 98-Galerie_ArtAndScience.DIAPO.0001
196 reference(s)
99-Galerie_CollaborativeWorks..FV
195 reference(s)		 100-Commentaires_SystemeSolaire.01
195 reference(s)
101-An2000.03.Fra
195 reference(s)		 102-Commentaires_EnsembleMandelbrotComplexe.01
194 reference(s)
103-Spheres.01
192 reference(s)		 104-Galerie_QuantumMechanics.DIAPO.0001
192 reference(s)
105-Galerie_NewPictures
192 reference(s)		 106-Galerie_Astrophysics.DIAPO.0002
192 reference(s)
107-Commentaires_EnsembleJuliaComplexe.01
191 reference(s)		 108-AvantPropos.01.Fra
190 reference(s)
109-relativity.01.
188 reference(s)		 110-Galerie_GeneralitiesVisualization
188 reference(s)
111-Commentaires_KleinBottle.01
188 reference(s)		 112-real.01.vv.
187 reference(s)
113-ManyChaos.01.Ang
187 reference(s)		 114-Galerie_Astrophysics.DIAPO.0001
187 reference(s)
115-Galerie_TextureSynthesis.DIAPO.0001
185 reference(s)		 116-Galerie_QuantumMechanics
185 reference(s)
117-Galerie_DeterministicFractalGeometry
185 reference(s)		 118-Vcatalogue.11
184 reference(s)
119-PerteDeLAssociativite.01
184 reference(s)		 120-Galerie_FluidMechanics.DIAPO.0001
183 reference(s)
121-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
182 reference(s)		 122-Informations_GoodNewsAndBadNews.01.Fra
181 reference(s)
123-Galerie_SensitivityToRoundingOffErrors
180 reference(s)		 124-VirtualChaos.01.Ang
179 reference(s)
125-Galerie_TextureSynthesis
179 reference(s)		 126-Galerie_Astrophysics
179 reference(s)
127-Commentaires_ProblemeDesNCorps.01
179 reference(s)		 128-VisitesGaleriesEnfouies.01.Ang
178 reference(s)

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




Copyright © Jean-François COLONNA, 2007-2023.
Copyright © France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2007-2023.