Monthly Best Of on 07/28/2011




Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-

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 07/28/2011 and last updated on 11/14/2023 17:47:49 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
1-165 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-150 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
3-110 reference(s)		 Mountains at sunrise
4-99 reference(s)
Zoom in on the von Koch curve
5-89 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
6-78 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
7-76 reference(s)		 Autostereogram with an hidden volcano
8-74 reference(s)
The random walk of photons escaping the Sun
9-70 reference(s)		 Artistic view of the prime numbers
10-67 reference(s)		 Autostereogram with an hidden volcano
11-52 reference(s)		 Quark and gluon structure of a nucleon
12-52 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
13-52 reference(s)		 True colors autostereogram of a fractal landscape
14-49 reference(s)		 The random walk of photons escaping the Sun
15-47 reference(s)		 The Lorenz attractor
16-47 reference(s)
Autostereogram with an hidden volcano
17-46 reference(s)		 Fractal structure of a nucleon
18-45 reference(s)		 Universe or Multiverse -The fractal Universe-?
19-37 reference(s)		 Rotation about the Y (vertical)axis of a tridimensional representation of quadridimensional Calabi-Yau manifolds that can also be viewed as a set of 4x3 stereograms -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
20-37 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)
21-35 reference(s)		 256 elementary monodimensional binary cellular automata with 56% of white starting points (bottom left is the automata number 0 when top right is the number 255)
22-35 reference(s)		 Untitled 0136
23-33 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
24-33 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
25-32 reference(s)		 Autostereogram of Monument Valley
26-32 reference(s)		 The Birth of the Universe
27-32 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
28-31 reference(s)
Hypercube
29-31 reference(s)		 From the infinitely small to the infinitely big
30-31 reference(s)		 The random walk of photons escaping the Sun
31-30 reference(s)		 Artistic view of the Big Bang
32-29 reference(s)
Along the border of the Mandelbrot set
33-29 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
34-29 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
35-29 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
36-29 reference(s)
Quantum vacuum fluctuations
37-27 reference(s)		 Autostereogram with an hidden volcano
38-27 reference(s)		 The generalized Ulam spiral displaying 100 numbers
39-27 reference(s)		 Intertwining
40-26 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
41-26 reference(s)		 Intertwining
42-25 reference(s)		 24 evenly distributed points on a sphere by means of simulated annealing
43-25 reference(s)		 LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
44-25 reference(s)
The Jeener-Klein triple bottle
45-25 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
46-24 reference(s)		 Quadruple impossible staircase built by means of a paradoxal structure -a Tribute to Maurits Cornelis Escher-
47-24 reference(s)		 Recursive intertwining
48-23 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
49-23 reference(s)		 The Lorenz attractor
50-23 reference(s)		 Welcome aboard a Virtual Space-Time Travel Machine
51-23 reference(s)		 Paradoxal structure
52-22 reference(s)
From Pluto to the Sun (non linear scales)
53-22 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
54-21 reference(s)		 Along the border of the Mandelbrot set
55-21 reference(s)		 Paradoxal black hole
56-21 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
57-21 reference(s)		 Quark and gluon structure of a nucleon
58-21 reference(s)		 A shell (Jeener surface 1)in motion
59-21 reference(s)		 The sum of all '780x575' pictures on 06/15/2011
60-20 reference(s)
The random walk of photons escaping the Sun
61-20 reference(s)		 Botticelli anomaly on the Moon
62-20 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
63-20 reference(s)		 Rotation about the X axis of the Lorenz attractor
64-20 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
65-20 reference(s)		 Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
66-20 reference(s)		 A shell (Jeener surface 1)
67-20 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
68-20 reference(s)
Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
69-20 reference(s)		 Autostereogram with an hidden volcano
70-19 reference(s)		 The normal field of a fractal surface defined by means of three bidimensional fields
71-19 reference(s)		 Different modes of representation of a tridimensional cross-section of a Quaternionic Julia set
72-19 reference(s)
Artistic view of a quaternionic Julia set -tridimensional cross-section-
73-19 reference(s)		 Triple impossible staircase painting a paradoxal structure
74-19 reference(s)		 Paradoxal structure
75-18 reference(s)		 Untitled 0023
76-18 reference(s)
A variable Archimedes spiral displaying 1000 numbers
77-18 reference(s)		 An arbitrary surface (Jeener surface 2)in motion
78-18 reference(s)		 A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
79-18 reference(s)		 The Bonan-Jeener-Klein triple bottle
80-18 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
81-18 reference(s)		 Brownian motion of a few heavy slow particles inside a gaz of fast light particles with increasing mass ratio (heavy/light=1,10,100,1000)
82-17 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System, our Earth being at the origin of the coordinates
83-17 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
84-17 reference(s)
Artistic view of a quadridimensional Calabi-Yau manifold
85-17 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
86-17 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
87-17 reference(s)		 A recursive intertwining animation
88-16 reference(s)
Untitled 0103
89-16 reference(s)		 Alien
90-16 reference(s)		 Mountains and light cloud dynamics -this sequence being periodical-
91-16 reference(s)		 Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
92-16 reference(s)
Integration of 128 tridimensional cross-sections of a quaternionic Julia set computed along its fourth axis
93-16 reference(s)		 Artistic view of the Bonan-Jeener-Klein triple bottle
94-16 reference(s)		 The Klein bottle in motion
95-16 reference(s)		 The sum of all '512x512' pictures on 06/15/2011
96-15 reference(s)
The particle trajectories of bidimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
97-15 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
98-15 reference(s)		 Quaternionic shell
99-15 reference(s)		 'There is a war' -a Tribute to Leonard Cohen-
100-15 reference(s)
The generalized Ulam spiral displaying 1024 numbers
101-15 reference(s)		 Animation of bidimensional textures by means of the self-transformation of a fractal process
102-15 reference(s)		 Animation of a sunrise on mountains
103-15 reference(s)		 An arbitrary surface (Jeener surface 2)
104-15 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
105-15 reference(s)		 Beautiful self-similarity
106-14 reference(s)		 The Scream -a Tribute to Edvard Munch-
107-14 reference(s)		 N-dimensional random structure
108-14 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
109-14 reference(s)		 The Möbius strip
110-14 reference(s)		 A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-'the children round' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
111-14 reference(s)		 A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
112-14 reference(s)
Electron-positron scattering
113-14 reference(s)		 Rotation about the Y (vertical)axis of a tridimensional representation of quadridimensional Calabi-Yau manifolds that can also be viewed as a set of 4x3 stereograms -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
114-14 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
115-14 reference(s)		 An elementary monodimensional binary cellular automaton -110- with 1 white starting point -bottom right-
116-14 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
117-13 reference(s)		 16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
118-13 reference(s)		 Paradoxal structure
119-13 reference(s)		 Tridimensional fractal structure
120-13 reference(s)
Intertwining
121-13 reference(s)		 12 evenly distributed points on a sphere -an Icosahedron- by means of simulated annealing
122-13 reference(s)		 A sphere defined by means of three bidimensional fields
123-13 reference(s)		 Snowy multifractal mountains
124-13 reference(s)
The Möbius strip
125-13 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
126-13 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
127-13 reference(s)		 Cracks
128-13 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
1054 reference(s)		 2-AVirtualSpaceTimeTravelMachine.Ang
514 reference(s)
3-An2000.01.Fra
383 reference(s)		 4-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
380 reference(s)
5-SurfaceProjector.01.Ang
328 reference(s)		 6-help.
326 reference(s)
7-Galerie_DeterministicFractalGeometry.FV
312 reference(s)		 8-Galerie_NewPictures.FV
306 reference(s)
9-ImagesDuVirtuel.01.Fra.FV
302 reference(s)		 10-Galerie_ArtisticCreation.FV
292 reference(s)
11-Fractal.01
273 reference(s)		 12-GenieLogiciel_VisualisationScientifique.01.vv
269 reference(s)
13-NDimensionalDeterministicFractalSets.01.Ang
266 reference(s)		 14-NatureDesMathematiques.01.vv.Fra
262 reference(s)
15-NDimensionalDeterministicFractalSets.01.Fra
259 reference(s)		 16-Galerie_GeneralitiesVisualization.FV
259 reference(s)
17-Galerie_ParticleSystems.FV
257 reference(s)		 18-AVirtualSpaceTimeTravelMachine.Fra
256 reference(s)
19-SurfaceProjector.01.Fra
248 reference(s)		 20-EntrelacsIntertwinings.01.Ang.DIAPO.0516
240 reference(s)
21-MathematiquesPhysiqueFractales.02
239 reference(s)		 22-Stereogrammes_AutoStereogrammes.01
235 reference(s)
23-Autostereograms.01.
235 reference(s)		 24-EntrelacsIntertwinings.01.Ang.DIAPO.0515
234 reference(s)
25-FloatingPointNumbers.01.Fra
233 reference(s)		 26-ExpV_VirE.11
233 reference(s)
27-Galerie_ArtAndScience.FV
232 reference(s)		 28-AnimFractal.01.
232 reference(s)
29-EntrelacsIntertwinings.01.Ang.DIAPO.0514
231 reference(s)		 30-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0388
230 reference(s)
31-FloatingPointNumbers.01.Ang
229 reference(s)		 32-FaireDeLaRecherche.01.vv
229 reference(s)
33-EntrelacsIntertwinings.01.Ang.DIAPO.0513
229 reference(s)		 34-Vcatalogue.11
227 reference(s)
35-Galerie_DeterministicChaos.FV
226 reference(s)		 36-EntrelacsIntertwinings.01.Ang.DIAPO.0512
225 reference(s)
37-mail.01.vv
224 reference(s)		 38-Galerie_QuantumMechanics.FV
224 reference(s)
39-MonodimensionalCellularAutomata.01.Fra
223 reference(s)		 40-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0386
222 reference(s)
41-MathematiquesModeleOutilArtiste.02.Ang
221 reference(s)		 42-ImpossibleStructures.01.Ang
221 reference(s)
43-Galerie_TextureSynthesis.FV
221 reference(s)		 44-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0387
220 reference(s)
45-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0383
219 reference(s)		 46-EntrelacsIntertwinings.01.Ang.DIAPO.0510
219 reference(s)
47-infinity.01.vv
218 reference(s)		 48-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0385
218 reference(s)
49-EntrelacsIntertwinings.01.Ang.DIAPO.0511
218 reference(s)		 50-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0382
217 reference(s)
51-EntrelacsIntertwinings.01.Ang.DIAPO.0475
217 reference(s)		 52-EntrelacsIntertwinings.01.Ang
216 reference(s)
53-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0384
215 reference(s)		 54-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0379
215 reference(s)
55-Galerie_ArtisticCreation.DIAPO.0182
215 reference(s)		 56-EntrelacsIntertwinings.01.Ang.DIAPO.0474
215 reference(s)
57-EntrelacsIntertwinings.01.Ang.DIAPO.0473
215 reference(s)		 58-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0381
214 reference(s)
59-Galerie_ArtisticCreation.DIAPO.0183
214 reference(s)		 60-Galerie_ArtisticCreation.DIAPO.0198
213 reference(s)
61-Galerie_ArtisticCreation.DIAPO.0191
213 reference(s)		 62-Galerie_ArtisticCreation.DIAPO.0187
213 reference(s)
63-EntrelacsIntertwinings.01.Ang.DIAPO.0509
213 reference(s)		 64-DieuScience.01.Fra
213 reference(s)
65-AProposSite.01.Fra
213 reference(s)		 66-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0378
212 reference(s)
67-Galerie_SensitivityToRoundingOffErrors.FV
212 reference(s)		 68-Galerie_ArtisticCreation.DIAPO.0203
212 reference(s)
69-Galerie_ArtisticCreation.DIAPO.0202
212 reference(s)		 70-Galerie_ArtisticCreation.DIAPO.0201
212 reference(s)
71-Galerie_ArtisticCreation.DIAPO.0199
212 reference(s)		 72-Galerie_ArtisticCreation.DIAPO.0184
212 reference(s)
73-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0380
211 reference(s)		 74-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0377
211 reference(s)
75-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0376
211 reference(s)		 76-Galerie_ArtisticCreation.DIAPO.0188
211 reference(s)
77-Galerie_ArtisticCreation.DIAPO.0197
210 reference(s)		 78-Galerie_ArtisticCreation.DIAPO.0192
210 reference(s)
79-Galerie_ArtisticCreation.DIAPO.0189
210 reference(s)		 80-Galerie_ArtisticCreation.DIAPO.0185
210 reference(s)
81-Galerie_ArtisticCreation.DIAPO.0181
210 reference(s)		 82-EntrelacsIntertwinings.01.Ang.DIAPO.0472
210 reference(s)
83-Galerie_ArtisticCreation.DIAPO.0200
209 reference(s)		 84-Galerie_ArtisticCreation.DIAPO.0194
209 reference(s)
85-EntrelacsIntertwinings.01.Ang.DIAPO.0476
209 reference(s)		 86-infinity.02.vv
208 reference(s)
87-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
208 reference(s)		 88-Galerie_ArtisticCreation.DIAPO.0195
208 reference(s)
89-Galerie_ArtisticCreation.DIAPO.0190
208 reference(s)		 90-catalogue.11
207 reference(s)
91-Galerie_ArtisticCreation.DIAPO.0196
207 reference(s)		 92-Galerie_ArtisticCreation.DIAPO.0186
207 reference(s)
93-EntrelacsIntertwinings.01.Ang.DIAPO.0470
207 reference(s)		 94-EntrelacsIntertwinings.01.Ang.DIAPO.0508
206 reference(s)
95-EntrelacsIntertwinings.01.Ang.DIAPO.0471
206 reference(s)		 96-Galerie_ArtisticCreation.DIAPO.0193
205 reference(s)
97-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0375
204 reference(s)		 98-GenieLogiciel.01.Fra
204 reference(s)
99-EntrelacsIntertwinings.01.Ang.DIAPO.0478
204 reference(s)		 100-Informations_AboutPicturesAnimationsAndFiles.01.Ang
203 reference(s)
101-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0158
203 reference(s)		 102-Galerie_ArtisticCreation.DIAPO.0180
203 reference(s)
103-EntrelacsIntertwinings.01.Ang.DIAPO.0477
203 reference(s)		 104-AQuoiServentLesMathematiques.01
203 reference(s)
105-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0374
202 reference(s)		 106-Galerie_SignalProcessing.FV
202 reference(s)
107-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0155
202 reference(s)		 108-EntrelacsIntertwinings.01.Fra
202 reference(s)
109-EntrelacsIntertwinings.01.Ang.DIAPO.0469
202 reference(s)		 110-EnsembleDesGaleries.DIAPO.0001
202 reference(s)
111-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0372
201 reference(s)		 112-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0370
201 reference(s)
113-ImagesDuVirtuel.01.Fra
201 reference(s)		 114-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0153
201 reference(s)
115-Galerie_DeterministicFractalGeometry.DIAPO.0048
201 reference(s)		 116-copyright.01.
200 reference(s)
117-Galerie_DeterministicFractalGeometry.DIAPO.0060
200 reference(s)		 118-Galerie_DeterministicFractalGeometry.DIAPO.0054
200 reference(s)
119-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0373
199 reference(s)		 120-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0371
199 reference(s)
121-Galerie_FluidMechanics.FV
199 reference(s)		 122-EntrelacsIntertwinings.01.Ang.DIAPO.0507
199 reference(s)
123-Galerie_ParticleSystems.DIAPO.0073
198 reference(s)		 124-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0157
198 reference(s)
125-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0156
198 reference(s)		 126-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0152
198 reference(s)
127-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0151
198 reference(s)		 128-Galerie_DeterministicFractalGeometry.DIAPO.0055
198 reference(s)

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




Copyright © Jean-François COLONNA, 2011-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2011-2023.