Monthly Best Of on 12/28/2012




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

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

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Contents of this page:


1-The 128 most referenced Pictures:



Tridimensional representation of a quadridimensional Calabi-Yau manifold
1-288 reference(s)
The random walk of photons escaping the Sun
2-111 reference(s)
The generalized Ulam spiral
3-97 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-93 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
5-86 reference(s)
Zoom in on the von Koch curve
6-84 reference(s)
Hypercube
7-79 reference(s)
Autostereogram with an hidden volcano
8-71 reference(s)
Artistic view of the prime numbers
9-69 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
10-56 reference(s)
Paradoxal structure based on the geometry of the Boy surface
11-54 reference(s)
A tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
12-53 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
13-49 reference(s)
The Lorenz attractor
14-48 reference(s)
The random walk of photons escaping the Sun
15-46 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
16-43 reference(s)
From the infinitely small to the infinitely big
17-42 reference(s)
Autostereogram with an hidden volcano
18-40 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
19-40 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
20-40 reference(s)
Autostereogram with an hidden volcano
21-39 reference(s)
Quantum vacuum fluctuations
22-38 reference(s)
Autostereogram with an hidden volcano
23-37 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
24-37 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
25-36 reference(s)
Tridimensional fractal Self-Portrait
26-36 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)
27-34 reference(s)
Paradoxal Monument Valley at sunset
28-33 reference(s)
Intertwining
29-32 reference(s)
Sixteen interlaced fractal torus
30-32 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
31-31 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
32-31 reference(s)
Along the border of the Mandelbrot set
33-30 reference(s)
Quark and gluon structure of a nucleon
34-30 reference(s)
The Lorenz attractor
35-30 reference(s)
Autostereogram with an hidden ring and ghost bows
36-29 reference(s)
Artistic view of a pyramidal Menger sponge computed by means of an 'Iterated Function System' -IFS-
37-29 reference(s)
Quantum vacuum fluctuations
38-28 reference(s)
From Pluto to the Sun (non linear scales)
39-28 reference(s)
Paradoxal structure
40-28 reference(s)
Mountains at sunrise
41-27 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
42-26 reference(s)
A 'fractal plane' with overhangings defined by means of three bidimensional fields
43-26 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
44-26 reference(s)
Quark and gluon structure of a nucleon
45-26 reference(s)
Jean-François Colonna
46-26 reference(s)
Happy new year 2000
47-26 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
48-25 reference(s)
The generalized Ulam spiral displaying 100 numbers
49-25 reference(s)
Tridimensional Self-Portrait
50-25 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
51-25 reference(s)
Tridimenional display of the Goldbach conjecture
52-24 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
53-24 reference(s)
A quaternionic Julia set -tridimensional cross-section-
54-23 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
55-23 reference(s)
The Jeener's triple Klein bottle
56-23 reference(s)
The generalized Ulam spiral displaying 1024 numbers
57-22 reference(s)
No Title 0165
58-22 reference(s)
Quark and gluon dynamics of the nucleon
59-21 reference(s)
From Pluto to the Sun -extrapolation 1- (non linear scales)
60-21 reference(s)
The snake swallows its own tail
61-21 reference(s)
Universe or Multiverse -The fractal Universe-?
62-20 reference(s)
Paradoxal structure based on the geometry of the Bonan-Jeener's triple Klein bottle
63-20 reference(s)
Recursive intertwining
64-19 reference(s)
Alien
65-19 reference(s)
Quaternionic butterfly with extended arithmetics -a tribute to Laurent Schwartz-
66-19 reference(s)
Wavelet transform of a bidimensional fractal field (bird's-eye view)
67-19 reference(s)
The Möbius strip
68-19 reference(s)
The Goldbach conjecture
69-19 reference(s)
A shell (Jeener surface 1)
70-19 reference(s)
Rotation about the Y (vertical)axis of the Jeener's triple Klein bottle that can also be viewed as a set of 4x3 stereograms
71-19 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
72-18 reference(s)
Autostereogram with an hidden volcano
73-18 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
74-18 reference(s)
Monument Valley à la David Hockney
75-18 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
76-18 reference(s)
Artistic view of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0) -a Tribute to José Hernández- -tridimensional cross-section-
77-18 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
78-18 reference(s)
The random walk of photons escaping the Sun
79-17 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
80-17 reference(s)
Quaternionic cat
81-17 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
82-17 reference(s)
The Eratosthene sieve displaying 100x100 numbers
83-17 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
84-17 reference(s)
Rotation about the X axis of the Lorenz attractor
85-17 reference(s)
A pyramidal Menger sponge computed by means of an 'Iterated Function System' -IFS-
86-17 reference(s)
No Title 0162
87-17 reference(s)
Fractal intertwining
88-17 reference(s)
A shell (Jeener surface 1)in motion
89-17 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
90-17 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
91-17 reference(s)
Animation of a sunrise on mountains
92-16 reference(s)
From Pluto to the Sun -extrapolation 2- (non linear scales)
93-16 reference(s)
A foggy 'MandelBox' -tridimensional cross-section-
94-16 reference(s)
Sixteen interlaced fractal torus
95-16 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
96-16 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
97-16 reference(s)
Electron-positron scattering
98-16 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
99-16 reference(s)
The Bonan-Jeener's triple Klein bottle
100-16 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
101-16 reference(s)
A recursive intertwining animation
102-15 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
103-15 reference(s)
An Archimedes spiral displaying 1000 numbers
104-15 reference(s)
Mystery mountain at sunrise
105-15 reference(s)
True colors autostereogram of a fractal landscape
106-15 reference(s)
No Title 0022
107-15 reference(s)
Tridimensional fractal structure
108-15 reference(s)
Synthesis of tridimensional textures by means of a fractal process
109-15 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
110-15 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
111-15 reference(s)
Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
112-15 reference(s)
Volcano
113-15 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0) (bird's-eye view)
114-14 reference(s)
Artistic view of the Big Bang
115-14 reference(s)
The Syracuse conjecture for U(0)={1,2,3,4,...,262144}
116-14 reference(s)
No Title 0114
117-14 reference(s)
Intertwining
118-14 reference(s)
Synthesis of tridimensional symmetrical geometrical textures
119-14 reference(s)
Synthesis of tridimensional textures by means of a fractal process
120-14 reference(s)
Monument Valley at sunrise
121-14 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
122-14 reference(s)
A set of 4x3 stereograms of a close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
123-14 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
124-14 reference(s)
Anaglyph -blue=right, red=left- of the tridimensional Hilbert Curve -iteration 3-
125-14 reference(s)
Tridimensional Hilbert Curve -iteration 3-
126-14 reference(s)
Fractal quaternionic shell
127-14 reference(s)
Sixty-four interlaced fractal torus
128-14 reference(s)




2-The 128 most referenced Pages:



1-demo_14
647 reference(s)
2-AVirtualSpaceTimeTravelMachine.Fra
558 reference(s)
3-An2000.01.Fra
489 reference(s)
4-Galerie_SignalProcessing.FV
431 reference(s)
5-DieuScience.01.Fra
430 reference(s)
6-AVirtualSpaceTimeTravelMachine.Ang
415 reference(s)
7-help.
365 reference(s)
8-EntrelacsIntertwinings.01.Fra
343 reference(s)
9-Fractal.01
330 reference(s)
10-NatureDesMathematiques.01.vv.Fra
320 reference(s)
11-FloatingPointNumbers.01.Fra
290 reference(s)
12-Stereogrammes_AutoStereogrammes.01
289 reference(s)
13-Galerie_FluidMechanics.FV
287 reference(s)
14-ImpossibleStructures.01.Fra
283 reference(s)
15-NDimensionalDeterministicFractalSets.01.Ang
282 reference(s)
16-catalogue.11
281 reference(s)
17-EntrelacsIntertwinings.01.Ang
276 reference(s)
18-AQuoiServentLesMathematiques.01
275 reference(s)
19-MonodimensionalCellularAutomata.01.Fra
263 reference(s)
20-Galerie_ArtisticCreation.FV
260 reference(s)
21-mail.01.vv
255 reference(s)
22-MathematiquesPhysiqueFractales.02
245 reference(s)
23-GenieLogiciel_VisualisationScientifique.01.vv
242 reference(s)
24-FaireDeLaRecherche.01.vv
236 reference(s)
25-aquoiserventlesmathematiques.01
231 reference(s)
26-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
231 reference(s)
27-ExpV_VirE.11
231 reference(s)
28-Galerie_NewPictures.FV
228 reference(s)
29-copyright.01.
224 reference(s)
30-Galerie_DeterministicFractalGeometry.FV
223 reference(s)
31-Galerie_NumberTheory.FV
222 reference(s)
32-FloatingPointNumbers.01.Ang
222 reference(s)
33-Galerie_ArtAndScience.FV
216 reference(s)
34-GenieLogiciel.01.Fra
213 reference(s)
35-Galerie_GeneralitiesVisualization.FV
211 reference(s)
36-Informations_AboutPicturesAnimationsAndFiles.01.Ang
209 reference(s)
37-AProposSite.01.Fra
209 reference(s)
38-UlamSpiral.01.Ang
204 reference(s)
39-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
200 reference(s)
40-Galerie_QuantumMechanics.FV
200 reference(s)
41-create.03.
197 reference(s)
42-SurfaceProjector.01.Fra
196 reference(s)
43-Kepler.02.
196 reference(s)
44-SurfaceProjector.01.Ang
194 reference(s)
45-OrdinateurMathematiquesArt.01.Fra
194 reference(s)
46-Galerie_CelestialMechanics.FV
191 reference(s)
47-RealNumbers.01.Fra
190 reference(s)
48-Autostereograms.01.
189 reference(s)
49-OrdinateursEtCalculs.01.Fra
186 reference(s)
50-Galerie_DeterministicChaos.FV
186 reference(s)
51-GoldenTriangle.01.Fra
185 reference(s)
52-infinity.01.vv
184 reference(s)
53-ImpossibleStructures.01.Ang
181 reference(s)
54-Galerie_ParticleSystems.FV
181 reference(s)
55-AnimFractal.01.
181 reference(s)
56-MonodimensionalCellularAutomata.01.Ang
180 reference(s)
57-ImagesDuVirtuel.01.Fra.FV
180 reference(s)
58-subject.01.
178 reference(s)
59-UlamSpiral.01.Fra
173 reference(s)
60-Galerie_BestOf.FV
173 reference(s)
61-MathematiquesModeleOutilArtiste.02.Ang
172 reference(s)
62-Galerie_TextureSynthesis.FV
171 reference(s)
63-NombresEtLumiere.01.vv.Fra
169 reference(s)
64-Fractal.11
169 reference(s)
65-present.01.
168 reference(s)
66-PatrimoineHumanite.02.Fra
168 reference(s)
67-IllusionConnaissance.02
168 reference(s)
68-VirtualChaos.01.Fra
167 reference(s)
69-RemarquesCerveau.01
167 reference(s)
70-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
167 reference(s)
71-fractal.01
165 reference(s)
72-OrdinateursEtCalculs.01.Ang
165 reference(s)
73-NDimensionalDeterministicFractalSets.01.Fra
165 reference(s)
74-Galerie_SensitivityToRoundingOffErrors.FV
165 reference(s)
75-Galerie_Astrophysics.FV
164 reference(s)
76-Commentaires_Cube.01
164 reference(s)
77-ExpV_VirE.Ang
163 reference(s)
78-VirtualChaos.01.Ang
162 reference(s)
79-GoldenTriangle.01.Ang
161 reference(s)
80-AvantPropos.01.Fra
161 reference(s)
81-PerteDeLAssociativite.01
160 reference(s)
82-EnsembleDesGaleries.DIAPO.0001
160 reference(s)
83-infinity.02.vv
159 reference(s)
84-MathematiquesEtCinematographe.01.vv
157 reference(s)
85-ManyChaos.01.Fra
157 reference(s)
86-ManyChaos.01.Ang
157 reference(s)
87-LOG_xiMc.11
157 reference(s)
88-ExpV_VirE.21
155 reference(s)
89-Fractal.02
154 reference(s)
90-Spheres.01
152 reference(s)
91-VisitesGaleriesEnfouies.01.Ang
151 reference(s)
92-EnsembleDesGaleriesFractales.DIAPO.0001
150 reference(s)
93-QuelquesQuestionsSurLaRecherche.01.Fra
149 reference(s)
94-MathematiquesEtRepresentations.01.vv.Ang
148 reference(s)
95-AvantPropos.01.Ang
148 reference(s)
96-Informations_AboutPicturesAnimationsAndFiles.01.Fra
146 reference(s)
97-AQuoiServentLesMathematiques.03
144 reference(s)
98-Vcatalogue.11
142 reference(s)
99-An2000.01.Ang
142 reference(s)
100-VisitesGaleriesEnfouies.01.Fra
141 reference(s)
101-fairedelarecherche.01.vv
137 reference(s)
102-Commentaires_ModeleIsingBiDimensionnel.01
137 reference(s)
103-PerteDeLAssociativite.01.MUL3
132 reference(s)
104-ExpV_VirE.Fra
132 reference(s)
105-Commentaires_DefinitionTransformeeDeFourier.01
132 reference(s)
106-Commentaires_DefinitionComplexes.01
130 reference(s)
107-Galerie_AnthropomorphicPatterns.DIAPO.0006
129 reference(s)
108-ImagesDuVirtuel.01.Fra
128 reference(s)
109-catalogue.11..m4.
127 reference(s)
110-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
127 reference(s)
111-Galerie_AnthropomorphicPatterns.DIAPO.0007
127 reference(s)
112-MathematiquesPhysiqueFractales.01
126 reference(s)
113-Galerie_AnthropomorphicPatterns.DIAPO.0051
126 reference(s)
114-real.01.vv.
125 reference(s)
115-ExpV_VirE.01.Fra
125 reference(s)
116-ArtScience.11.Fra
125 reference(s)
117-Galerie_AnthropomorphicPatterns.DIAPO.0030
124 reference(s)
118-Galerie_AnthropomorphicPatterns.DIAPO.0008
124 reference(s)
119-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
124 reference(s)
120-An2000.11.Fra
124 reference(s)
121-Galerie_AnthropomorphicPatterns.DIAPO.0018
123 reference(s)
122-xrq_____hydrogene.61.K.
122 reference(s)
123-Galerie_NewPictures.DIAPO
122 reference(s)
124-Galerie_AnthropomorphicPatterns.DIAPO.0039
122 reference(s)
125-Galerie_AnthropomorphicPatterns.DIAPO.0016
122 reference(s)
126-Galerie_AnthropomorphicPatterns.DIAPO.0009
122 reference(s)
127-Galerie_AnthropomorphicPatterns.DIAPO.0005
122 reference(s)
128-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
122 reference(s)

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Copyright (c) Jean-François Colonna, 2012-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2012-2018.