Monthly Best Of on 10/28/2011




Tridimensional visualization of the Mandelbrot set

Jean-François COLONNA
[Contact me]

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 10/28/2011 and last updated on 10/03/2024 17:02:19 -CEST-)




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
1-140 reference(s)		From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
2-126 reference(s)		Artistic view of the prime numbers
3-109 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
4-91 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
5-91 reference(s)		The Lorenz attractor
6-83 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
7-79 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
8-75 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
9-73 reference(s)		Quantum vacuum fluctuations
10-59 reference(s)		A set of 4x3 stereograms of a close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
11-55 reference(s)		Quark and gluon structure of a nucleon
12-54 reference(s)
The random walk of photons escaping the Sun
13-49 reference(s)		Octonionic mountains with extended arithmetics
14-48 reference(s)		A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
15-48 reference(s)		Quark and gluon structure of a nucleon
16-47 reference(s)
Mountains at sunrise
17-46 reference(s)		From the infinitely small to the infinitely big
18-42 reference(s)		Along the border of the Mandelbrot set
19-41 reference(s)		Recursive intertwining
20-40 reference(s)
Intertwining
21-40 reference(s)		Autostereogram with an hidden volcano
22-40 reference(s)		The generalized Ulam spiral displaying 100 numbers
23-39 reference(s)		The Möbius strip
24-39 reference(s)
Artistic view of the Big Bang
25-38 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
26-37 reference(s)		The generalized Ulam spiral displaying 1024 numbers
27-36 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
28-36 reference(s)
The Solar System with a dark blue virtual planet -virtual planet point of view-
29-36 reference(s)		Alien
30-35 reference(s)		The random walk of photons escaping the Sun
31-34 reference(s)		A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) -tridimensional cross-section-
32-34 reference(s)
Bidimensional clouds or height field
33-34 reference(s)		Mystery mountain at sunrise
34-33 reference(s)		Close-up on a foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) -tridimensional cross-section-
35-33 reference(s)		Electron-positron scattering
36-33 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
37-33 reference(s)		Mystery cliffs at sunrise
38-32 reference(s)		Fractal synthesis of mountains with vegetation and stormy clouds
39-32 reference(s)		Untitled 0137 -'Jour de Lenteur', a Tribute to Yves Tanguy-
40-32 reference(s)
A shell (Jeener surface 1)in motion
41-32 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
42-32 reference(s)		Octonionic archimedian spirals with extended arithmetics
43-31 reference(s)		Hypercube
44-31 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
45-30 reference(s)		Fractal structure of a nucleon
46-30 reference(s)		Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
47-30 reference(s)		A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(0,1,0,0,0,0,0,0) -tridimensional cross-section-
48-30 reference(s)
The random walk of photons escaping the Sun
49-29 reference(s)		True colors autostereogram of a fractal landscape
50-29 reference(s)		From Pluto to the Sun (non linear scales)
51-29 reference(s)		Tridimensional visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
52-29 reference(s)
The Birth of the Universe
53-29 reference(s)		Autostereogram with an hidden volcano
54-28 reference(s)		Botticelli anomaly on the Moon
55-28 reference(s)		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
56-28 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
57-28 reference(s)		Autostereogram with an hidden volcano
58-27 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
59-27 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
60-26 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)
61-26 reference(s)		Generation of the 63x63 first Conway's surreal complex numbers
62-25 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
63-25 reference(s)		Octonionic clovers with extended arithmetics
64-25 reference(s)
The octonionic Julia set computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0)-tridimensional cross-section-
65-25 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
66-25 reference(s)		Autostereogram with an hidden ring and ghost bows
67-24 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
68-24 reference(s)
Autostereogram of Monument Valley
69-24 reference(s)		The Solar System with a dark blue virtual planet -virtual planet point of view-
70-24 reference(s)		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
71-24 reference(s)		Artistic view of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0) -a Tribute to José Hernández- -tridimensional cross-section-
72-24 reference(s)
Tridimensional fractal structure
73-24 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
74-23 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
75-23 reference(s)		Isotropic random walk of 64 particles on a tridimensional square lattice
76-23 reference(s)
A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
77-23 reference(s)		The Jeener-Klein triple bottle
78-23 reference(s)		The Scream -a Tribute to Edvard Munch-
79-22 reference(s)		The octonionic Julia set computed with A=(0,1,0,0,0,0,0,0)-tridimensional cross-section-
80-22 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
81-22 reference(s)		Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
82-21 reference(s)		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 1/Z conformal transformation in the complex plane -tridimensional cross-section-
83-21 reference(s)		Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
84-21 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
85-21 reference(s)		Bidimensional brownian motion with a gaussian-like (with two bells)distribution law regarding the radial coordinate
86-21 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
87-20 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
88-20 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
89-20 reference(s)		Paradoxal structure
90-20 reference(s)		Autostereogram with an hidden volcano
91-20 reference(s)		Mountains at sunrise
92-20 reference(s)
A pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
93-20 reference(s)		Close-up on an hybrid pseudo-octonionic Mandelbrot-Julia set ('MandelBulb' like: a 'MandelJuliaBulb')-tridimensional cross-section-
94-20 reference(s)		Tridimensional visualization of the Verhulst dynamics
95-20 reference(s)		Artistic view of 128 quaternionic Julia sets -tridimensional cross-sections-
96-20 reference(s)
Triple impossible staircase
97-20 reference(s)		Intertwining based on the geometry of the sphere
98-20 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
99-20 reference(s)		Artistic view of a quadridimensional Calabi-Yau manifold
100-20 reference(s)
The self-similarity of the von Koch curve
101-19 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
102-19 reference(s)		The Lorenz attractor
103-19 reference(s)		Impossible structure
104-19 reference(s)
A bidimensional Sierpinski Carpet computed by means of an 'Iterated Function System' -IFS-
105-19 reference(s)		Synthesis of tridimensional textures by means of a fractal process
106-19 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
107-19 reference(s)		Fractal synthesis of mountains with vegetation and clouds
108-18 reference(s)
Mountains at sunrise
109-18 reference(s)		Light clouds
110-18 reference(s)		An arbitrary surface (Jeener surface 2)in motion
111-18 reference(s)		The monsters of the lily pond
112-18 reference(s)
A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) -tridimensional cross-section-
113-18 reference(s)		Close-up on a foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) -tridimensional cross-section-
114-18 reference(s)		A foggy pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0) -tridimensional cross-section-
115-18 reference(s)		Artistic view of a quaternionic Julia set -tridimensional cross-section-
116-18 reference(s)
A pyramidal Menger Sponge computed by means of an 'Iterated Function System' -IFS-
117-18 reference(s)		A fractal landscape
118-18 reference(s)		Triple impossible staircase and a paradoxal structure
119-18 reference(s)		Generation of the 63x63 first Conway's surreal complex numbers
120-17 reference(s)
Self-transformation of an arbitrary geometrical texture
121-17 reference(s)		Brownian motion of a few heavy slow particles inside a gaz of fast light particles
122-17 reference(s)		Quark and gluon dynamics of the nucleon
123-17 reference(s)		'There is a war' -a Tribute to Leonard Cohen-
124-17 reference(s)
Two identical grey rectangles in front of a grey scale
125-17 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
126-17 reference(s)		Different modes of representation of a tridimensional cross-section of a Quaternionic Julia set
127-17 reference(s)		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
128-17 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
975 reference(s)		2-NDimensionalDeterministicFractalSets.01.Ang
462 reference(s)
3-AVirtualSpaceTimeTravelMachine.Ang
412 reference(s)		4-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
392 reference(s)
5-An2000.01.Fra
383 reference(s)		6-ImagesDuVirtuel.01.Fra.FV
379 reference(s)
7-Fractal.01
371 reference(s)		8-SurfaceProjector.01.Ang
364 reference(s)
9-Galerie_DeterministicFractalGeometry.FV
352 reference(s)		10-help.
340 reference(s)
11-Galerie_GeneralitiesVisualization.FV
322 reference(s)		12-EntrelacsIntertwinings.01.Ang.DIAPO.0516
318 reference(s)
13-EntrelacsIntertwinings.01.Ang.DIAPO.0518
311 reference(s)		14-NDimensionalDeterministicFractalSets.01.Fra
307 reference(s)
15-EntrelacsIntertwinings.01.Ang.DIAPO.0517
306 reference(s)		16-AQuoiServentLesMathematiques.01
306 reference(s)
17-SurfaceProjector.01.Fra
302 reference(s)		18-EntrelacsIntertwinings.01.Ang.DIAPO.0519
302 reference(s)
19-EntrelacsIntertwinings.01.Ang.DIAPO.0520
299 reference(s)		20-EntrelacsIntertwinings.01.Ang.DIAPO.0521
297 reference(s)
21-EntrelacsIntertwinings.01.Ang.DIAPO.0515
297 reference(s)		22-Galerie_ArtAndScience.DIAPO.0167
296 reference(s)
23-Galerie_BestOf.DIAPO.0034
293 reference(s)		24-Galerie_ArtisticCreation.DIAPO.0203
291 reference(s)
25-Galerie_ArtisticCreation.DIAPO.0199
291 reference(s)		26-Galerie_ArtisticCreation.DIAPO.0198
291 reference(s)
27-EntrelacsIntertwinings.01.Ang.DIAPO.0514
289 reference(s)		28-Galerie_ArtAndScience.DIAPO.0166
288 reference(s)
29-Galerie_ArtisticCreation.DIAPO.0205
287 reference(s)		30-Galerie_ArtisticCreation.DIAPO.0200
287 reference(s)
31-Galerie_BestOf.DIAPO.0032
286 reference(s)		32-Galerie_ArtisticCreation.DIAPO.0201
286 reference(s)
33-Galerie_ArtisticCreation.DIAPO.0197
286 reference(s)		34-Galerie_BestOf.DIAPO.0033
285 reference(s)
35-Galerie_ArtisticCreation.DIAPO.0202
285 reference(s)		36-Galerie_ArtisticCreation.DIAPO.0206
284 reference(s)
37-Galerie_ArtisticCreation.DIAPO.0196
284 reference(s)		38-Galerie_BestOf.DIAPO.0031
283 reference(s)
39-Galerie_ArtAndScience.DIAPO.0165
282 reference(s)		40-ExpV_VirE.11
282 reference(s)
41-Galerie_ArtisticCreation.DIAPO.0204
281 reference(s)		42-EntrelacsIntertwinings.01.Ang.DIAPO.0513
281 reference(s)
43-Galerie_CelestialMechanics.DIAPO.0026
279 reference(s)		44-Galerie_BestOf.DIAPO.0030
279 reference(s)
45-EntrelacsIntertwinings.01.Ang.DIAPO.0512
279 reference(s)		46-Galerie_CelestialMechanics.DIAPO.0025
278 reference(s)
47-Galerie_ArtisticCreation.DIAPO.0191
278 reference(s)		48-Galerie_ArtAndScience.DIAPO.0168
278 reference(s)
49-Galerie_ArtAndScience.DIAPO.0164
278 reference(s)		50-Galerie_ArtisticCreation.DIAPO.0190
277 reference(s)
51-Galerie_ArtisticCreation.DIAPO.0189
277 reference(s)		52-ArtScience.11.Ang.DIAPO.0039
277 reference(s)
53-Galerie_CelestialMechanics.DIAPO.0024
276 reference(s)		54-Galerie_CelestialMechanics.DIAPO.0023
276 reference(s)
55-Galerie_ArtisticCreation.DIAPO.0195
276 reference(s)		56-Galerie_CelestialMechanics.DIAPO.0021
275 reference(s)
57-Galerie_BestOf.DIAPO.0029
275 reference(s)		58-Galerie_BestOf.DIAPO.0028
274 reference(s)
59-ArtScience.11.Ang.DIAPO.0038
274 reference(s)		60-Galerie_ArtisticCreation.DIAPO.0194
273 reference(s)
61-Galerie_AnthropomorphicPatterns.DIAPO.0060
273 reference(s)		62-Galerie_NewPictures.FV
272 reference(s)
63-Galerie_CelestialMechanics.DIAPO.0022
272 reference(s)		64-Galerie_AnthropomorphicPatterns.DIAPO.0059
272 reference(s)
65-Galerie_ArtisticCreation.DIAPO.0193
271 reference(s)		66-Galerie_ArtisticCreation.DIAPO.0192
271 reference(s)
67-ArtScience.11.Ang.DIAPO.0037
271 reference(s)		68-Galerie_CelestialMechanics.DIAPO.0020
270 reference(s)
69-Galerie_ArtAndScience.DIAPO.0163
270 reference(s)		70-Galerie_BestOf.DIAPO.0027
269 reference(s)
71-Galerie_ArtisticCreation.DIAPO.0188
269 reference(s)		72-Galerie_ArtAndScience.DIAPO.0158
269 reference(s)
73-Galerie_AnthropomorphicPatterns.DIAPO.0058
269 reference(s)		74-Stereogrammes_AutoStereogrammes.01
267 reference(s)
75-Galerie_ArtAndScience.DIAPO.0161
266 reference(s)		76-EntrelacsIntertwinings.01.Ang.DIAPO.0511
266 reference(s)
77-ArtScience.11.Ang.DIAPO.0036
266 reference(s)		78-ArtScience.11.Ang.DIAPO.0032
266 reference(s)
79-Galerie_ArtAndScience.DIAPO.0162
265 reference(s)		80-Galerie_ArtAndScience.DIAPO.0159
265 reference(s)
81-Galerie_ArtAndScience.DIAPO.0157
265 reference(s)		82-ArtScience.11.Ang.DIAPO.0035
265 reference(s)
83-GenieLogiciel_VisualisationScientifique.01.vv
264 reference(s)		84-Galerie_ArtisticCreation.DIAPO.0187
264 reference(s)
85-Galerie_ArtAndScience.DIAPO.0156
264 reference(s)		86-Galerie_AnthropomorphicPatterns.DIAPO.0057
264 reference(s)
87-Galerie_CelestialMechanics.DIAPO.0019
263 reference(s)		88-ArtScience.11.Ang.DIAPO.0033
263 reference(s)
89-Galerie_ArtisticCreation.FV
262 reference(s)		90-Galerie_ArtAndScience.DIAPO.0160
262 reference(s)
91-MathematiquesPhysiqueFractales.02
261 reference(s)		92-Galerie_AnthropomorphicPatterns.DIAPO.0056
261 reference(s)
93-EntrelacsIntertwinings.01.Ang.DIAPO.0510
261 reference(s)		94-AVirtualSpaceTimeTravelMachine.Fra
261 reference(s)
95-Galerie_DeterministicChaos.DIAPO.0019
259 reference(s)		96-Galerie_ArtAndScience.DIAPO.0155
259 reference(s)
97-Galerie_NumberTheory.FV
258 reference(s)		98-Galerie_AnthropomorphicPatterns.DIAPO.0055
258 reference(s)
99-ArtScience.11.Ang.DIAPO.0034
258 reference(s)		100-Galerie_BestOf.DIAPO.0026
257 reference(s)
101-Galerie_AnthropomorphicPatterns.DIAPO.0054
256 reference(s)		102-EntrelacsIntertwinings.01.Ang.DIAPO.0509
256 reference(s)
103-ArtScience.11.Ang.DIAPO.0031
256 reference(s)		104-Galerie_DeterministicChaos.DIAPO.0018
254 reference(s)
105-FloatingPointNumbers.01.Fra
254 reference(s)		106-ArtScience.11.Ang.DIAPO.0029
254 reference(s)
107-Galerie_CelestialMechanics.DIAPO.0018
253 reference(s)		108-ArtScience.11.Ang.DIAPO.0030
253 reference(s)
109-Galerie_ArtAndScience.DIAPO.0154
252 reference(s)		110-Galerie_GeneralitiesVisualization.DIAPO.0113
251 reference(s)
111-Galerie_DeterministicChaos.DIAPO.0017
250 reference(s)		112-Galerie_BestOf.DIAPO.0025
250 reference(s)
113-Galerie_ArtisticCreation.DIAPO.0186
250 reference(s)		114-Galerie_GeneralitiesVisualization.DIAPO.0111
249 reference(s)
115-Galerie_GeneralitiesVisualization.DIAPO.0109
249 reference(s)		116-ImpossibleStructures.01.Ang
248 reference(s)
117-Galerie_AnthropomorphicPatterns.DIAPO.0053
248 reference(s)		118-ArtScience.11.Ang.DIAPO.0028
248 reference(s)
119-Galerie_ParticleSystems.DIAPO.0072
247 reference(s)		120-Galerie_GeneralitiesVisualization.DIAPO.0110
247 reference(s)
121-Galerie_GeneralitiesVisualization.DIAPO.0105
247 reference(s)		122-Galerie_AnthropomorphicPatterns.DIAPO.0051
247 reference(s)
123-Galerie_GeneralitiesVisualization.DIAPO.0108
246 reference(s)		124-Galerie_GeneralitiesVisualization.DIAPO.0107
246 reference(s)
125-Galerie_DeterministicFractalGeometry.DIAPO.0079
246 reference(s)		126-Galerie_DeterministicChaos.DIAPO.0016
246 reference(s)
127-Galerie_CelestialMechanics.DIAPO.0017
246 reference(s)		128-Galerie_BestOf.DIAPO.0024
246 reference(s)

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Copyright © Jean-François COLONNA, 2011-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2011-2024.