Monthly Best Of on 01/28/2011




Fractal 3-foil torus knot

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 01/28/2011 and last updated on 11/14/2023 17:47:41 -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)
1-195 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-184 reference(s)		 Hypercube
3-162 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-137 reference(s)
The random walk of photons escaping the Sun
5-125 reference(s)		 The random walk of photons escaping the Sun
6-119 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
7-117 reference(s)		 Welcome aboard a Virtual Space-Time Travel Machine
8-106 reference(s)
Quark and gluon structure of a nucleon
9-98 reference(s)		 Zoom in on the von Koch curve
10-94 reference(s)		 Quark and gluon structure of a nucleon
11-92 reference(s)		 The Lorenz attractor
12-89 reference(s)
Autostereogram with an hidden volcano
13-85 reference(s)		 The random walk of photons escaping the Sun
14-80 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
15-80 reference(s)		 Artistic view of the prime numbers
16-76 reference(s)
A quaternionic Julia set -tridimensional cross-section-
17-74 reference(s)		 From the infinitely small to the infinitely big
18-73 reference(s)		 Electron-positron scattering
19-63 reference(s)		 The Scream -a Tribute to Edvard Munch-
20-61 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
21-60 reference(s)		 From Pluto to the Sun (non linear scales)
22-56 reference(s)		 Intertwining
23-53 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
24-53 reference(s)
The Möbius strip
25-52 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
26-50 reference(s)		 Happy new year 2000
27-48 reference(s)		 Texture animation by means of the generalized Fourier filtering process
28-47 reference(s)
Artistic view of the Big Bang
29-46 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
30-46 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
31-45 reference(s)		 Autostereogram with an hidden volcano
32-44 reference(s)
Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
33-42 reference(s)		 The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
34-41 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
35-41 reference(s)		 Autostereogram with an hidden volcano
36-40 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)
37-40 reference(s)		 Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
38-40 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-
39-39 reference(s)		 Recursive intertwining
40-38 reference(s)
Animation of a sunrise on mountains
41-38 reference(s)		 Autostereogram of Monument Valley
42-37 reference(s)		 Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
43-36 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
44-35 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
45-35 reference(s)		 True colors autostereogram of a fractal landscape
46-35 reference(s)		 A set of 4x3 stereograms of an interpolation between a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')and a tridimensional Verhulst dynamics -tridimensional cross-section-
47-35 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
48-34 reference(s)
A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-'the children round' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
49-34 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
50-33 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
51-33 reference(s)		 The generalized Ulam spiral displaying 100 numbers
52-32 reference(s)
Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
53-32 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
54-32 reference(s)		 A shell (Jeener surface 1)in motion
55-32 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
56-32 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
57-31 reference(s)		 Alien
58-31 reference(s)		 A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
59-31 reference(s)		 A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
60-31 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
61-31 reference(s)		 Tridimensional visualization of the Verhulst dynamics
62-30 reference(s)		 Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
63-30 reference(s)		 Along the border of the Mandelbrot set
64-29 reference(s)
Recursive 5-star
65-29 reference(s)		 Mountains and light clouds
66-29 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
67-28 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
68-28 reference(s)
Earthquake
69-28 reference(s)		 Quark and gluon dynamics of the nucleon
70-27 reference(s)		 Tridimensional visualization of the Verhulst dynamics
71-27 reference(s)		 Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
72-27 reference(s)
Rotation about the X axis of the Lorenz attractor
73-27 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
74-27 reference(s)		 Autostereogram with an hidden ring and ghost bows
75-26 reference(s)		 Autostereogram with an hidden volcano
76-26 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)
77-26 reference(s)		 Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
78-26 reference(s)		 Triple impossible staircase
79-26 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
80-26 reference(s)
The normal field of a fractal surface defined by means of three bidimensional fields
81-25 reference(s)		 The generalized Ulam spiral
82-25 reference(s)		 Botticelli anomaly on the Moon
83-25 reference(s)		 A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
84-25 reference(s)
Tridimensional zoom in on the Mandelbrot set with mapping of the arguments
85-25 reference(s)		 A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
86-24 reference(s)		 Tridimensional visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
87-24 reference(s)		 Tridimensional fractal structure
88-24 reference(s)
A set of 4x3 stereograms of a tridimensional visualization of the Verhulst dynamics
89-23 reference(s)		 A set of 4x3 stereograms of a tridimensional visualization of the Verhulst dynamics
90-22 reference(s)		 Quantum vacuum fluctuations
91-21 reference(s)		 A pay slip
92-21 reference(s)
From Pluto to the Sun -extrapolation 2- (non linear scales)
93-21 reference(s)		 An arbitrary surface (Jeener surface 2)in motion
94-21 reference(s)		 Close-up on a foggy 'MandelBox' -tridimensional cross-section-
95-21 reference(s)		 The Jeener-Klein triple bottle
96-21 reference(s)
Artistic view of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0) -tridimensional cross-section-
97-20 reference(s)		 The Bonan-Jeener-Klein triple bottle
98-20 reference(s)		 Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
99-20 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
100-19 reference(s)
A set of 4x3 stereograms of a few Babel Towers
101-19 reference(s)		 Mountains and light cloud dynamics -this sequence being periodical-
102-19 reference(s)		 Animation of a quaternionic Julia island
103-19 reference(s)		 Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
104-19 reference(s)
Bidimensional clouds or height field
105-19 reference(s)		 Periodical earthquake with multifractal mountains
106-19 reference(s)		 Rotation about the Y (vertical)axis of the CMAP logo that can also be viewed as a set of 4x3 stereograms
107-19 reference(s)		 The construction process of the von Koch curve
108-18 reference(s)
16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
109-18 reference(s)		 A set of 4x3 stereograms of a few Monument Valleys at sunset
110-18 reference(s)		 The same bidimensional scalar field displayed with 4 different color palettes
111-18 reference(s)		 32 points on a trigonometric circle
112-18 reference(s)
Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
113-18 reference(s)		 Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
114-18 reference(s)		 A set of 4x3 stereograms of a tridimensional visualization of the Verhulst dynamics
115-18 reference(s)		 Tridimensional artistic view of the Verhulst dynamics
116-18 reference(s)
2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
117-18 reference(s)		 The Birth of the Universe
118-18 reference(s)		 The self-similarity of the von Koch curve
119-17 reference(s)		 Cauliflowers, seaweeds, shells,... with fog
120-17 reference(s)
Mountains at sunrise
121-17 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
122-17 reference(s)		 Different modes of representation of a tridimensional cross-section of a Quaternionic Julia set
123-17 reference(s)		 A set of 4x3 stereograms of a tridimensional interpolation between a fractal structure and a cubic mesh
124-17 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
125-17 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
126-17 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
127-16 reference(s)		 Bidimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
128-16 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
1081 reference(s)		 2-Vcatalogue.11
783 reference(s)
3-An2000.01.Fra
488 reference(s)		 4-AVirtualSpaceTimeTravelMachine.Ang
458 reference(s)
5-Galerie_ArtisticCreation.FV
425 reference(s)		 6-Fractal.01
408 reference(s)
7-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
377 reference(s)		 8-Galerie_DeterministicFractalGeometry.FV
364 reference(s)
9-Galerie_GeneralitiesVisualization.FV
332 reference(s)		 10-SurfaceProjector.01.Ang
331 reference(s)
11-NDimensionalDeterministicFractalSets.01.Fra
320 reference(s)		 12-SurfaceProjector.01.Fra
296 reference(s)
13-help.
285 reference(s)		 14-Galerie_ArtAndScience.FV
273 reference(s)
15-NDimensionalDeterministicFractalSets.01.Ang
262 reference(s)		 16-FloatingPointNumbers.01.Fra
258 reference(s)
17-Galerie_DeterministicFractalGeometry.DIAPO.0041
253 reference(s)		 18-MathematiquesPhysiqueFractales.02
252 reference(s)
19-Galerie_DeterministicFractalGeometry.DIAPO.0039
252 reference(s)		 20-Galerie_DeterministicFractalGeometry.DIAPO.0040
250 reference(s)
21-Galerie_DeterministicFractalGeometry.DIAPO.0042
249 reference(s)		 22-Galerie_DeterministicFractalGeometry.DIAPO.0050
247 reference(s)
23-Galerie_DeterministicFractalGeometry.DIAPO.0038
246 reference(s)		 24-Galerie_DeterministicFractalGeometry.DIAPO.0043
245 reference(s)
25-Galerie_DeterministicFractalGeometry.DIAPO.0044
242 reference(s)		 26-Galerie_DeterministicFractalGeometry.DIAPO.0037
242 reference(s)
27-Galerie_DeterministicFractalGeometry.DIAPO.0045
241 reference(s)		 28-GenieLogiciel_VisualisationScientifique.01.vv
240 reference(s)
29-Galerie_DeterministicFractalGeometry.DIAPO.0048
239 reference(s)		 30-AQuoiServentLesMathematiques.01
239 reference(s)
31-Galerie_DeterministicFractalGeometry.DIAPO.0047
238 reference(s)		 32-Galerie_DeterministicFractalGeometry.DIAPO.0036
237 reference(s)
33-Galerie_DeterministicFractalGeometry.DIAPO.0049
236 reference(s)		 34-Galerie_DeterministicFractalGeometry.DIAPO.0046
235 reference(s)
35-FloatingPointNumbers.01.Ang
234 reference(s)		 36-Galerie_DeterministicFractalGeometry.DIAPO.0035
233 reference(s)
37-Galerie_CelestialMechanics.FV
232 reference(s)		 38-AProposSite.01.Fra
231 reference(s)
39-EntrelacsIntertwinings.01.Ang.DIAPO.0473
230 reference(s)		 40-infinity.02.vv.DIAPO.0024
229 reference(s)
41-Galerie_GeneralitiesVisualization.DIAPO.0085
229 reference(s)		 42-Galerie_TextureSynthesis.FV
228 reference(s)
43-infinity.02.vv.DIAPO.0023
227 reference(s)		 44-Galerie_ParticleSystems.FV
227 reference(s)
45-infinity.02.vv.DIAPO.0022
226 reference(s)		 46-Stereogrammes_AutoStereogrammes.01
226 reference(s)
47-infinity.02.vv.DIAPO.0021
225 reference(s)		 48-EntrelacsIntertwinings.01.Ang.DIAPO.0472
225 reference(s)
49-infinity.02.vv.DIAPO.0019
224 reference(s)		 50-Galerie_NewPictures.DIAPO.0025
224 reference(s)
51-Galerie_NewPictures.DIAPO.0024
224 reference(s)		 52-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0371
223 reference(s)
53-Galerie_NewPictures.DIAPO.0027
223 reference(s)		 54-Galerie_NewPictures.DIAPO.0022
223 reference(s)
55-EntrelacsIntertwinings.01.Ang.DIAPO.0471
222 reference(s)		 56-EntrelacsIntertwinings.01.Ang.DIAPO.0469
222 reference(s)
57-EnsembleDesGaleries.DIAPO.0035
222 reference(s)		 58-Galerie_TextureSynthesis.DIAPO.0021
221 reference(s)
59-Galerie_BestOf.DIAPO.0020
221 reference(s)		 60-EntrelacsIntertwinings.01.Ang.DIAPO.0466
221 reference(s)
61-EntrelacsIntertwinings.01.Ang.DIAPO.0465
221 reference(s)		 62-Galerie_DeterministicFractalGeometry.DIAPO.0028
220 reference(s)
63-Galerie_BestOf.DIAPO.0025
220 reference(s)		 64-Galerie_BestOf.DIAPO.0023
220 reference(s)
65-EnsembleDesGaleries.DIAPO.0017
220 reference(s)		 66-Galerie_NewPictures.DIAPO.0023
219 reference(s)
67-Galerie_BestOf.DIAPO.0024
219 reference(s)		 68-EntrelacsIntertwinings.01.Ang.DIAPO.0470
219 reference(s)
69-EntrelacsIntertwinings.01.Ang.DIAPO.0468
219 reference(s)		 70-EntrelacsIntertwinings.01.Ang.DIAPO.0464
219 reference(s)
71-infinity.02.vv.DIAPO.0020
218 reference(s)		 72-infinity.02.vv.DIAPO.0018
218 reference(s)
73-Galerie_BestOf.DIAPO.0022
218 reference(s)		 74-EntrelacsIntertwinings.01.Ang.DIAPO.0467
218 reference(s)
75-Galerie_NewPictures.DIAPO.0026
217 reference(s)		 76-Galerie_DeterministicFractalGeometry.DIAPO.0027
217 reference(s)
77-Galerie_BestOf.DIAPO.0021
216 reference(s)		 78-EnsembleDesGaleries.DIAPO.0038
216 reference(s)
79-Galerie_GeneralitiesVisualization.DIAPO.0086
215 reference(s)		 80-Galerie_BestOf.DIAPO.0019
215 reference(s)
81-Galerie_TextureSynthesis.DIAPO.0023
214 reference(s)		 82-Galerie_NewPictures.DIAPO.0029
214 reference(s)
83-Galerie_NewPictures.DIAPO.0028
214 reference(s)		 84-Galerie_DeterministicFractalGeometry.DIAPO.0026
214 reference(s)
85-Galerie_DeterministicFractalGeometry.DIAPO.0025
214 reference(s)		 86-EnsembleDesGaleries.DIAPO.0034
214 reference(s)
87-infinity.02.vv
213 reference(s)		 88-Galerie_TextureSynthesis.DIAPO.0022
213 reference(s)
89-Galerie_QuantumMechanics.FV
213 reference(s)		 90-Galerie_NewPictures.DIAPO.0021
213 reference(s)
91-Galerie_BestOf.DIAPO.0016
213 reference(s)		 92-EnsembleDesGaleries.DIAPO.0016
213 reference(s)
93-infinity.02.vv.DIAPO.0025
212 reference(s)		 94-infinity.02.vv.DIAPO.0017
212 reference(s)
95-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0370
212 reference(s)		 96-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0369
212 reference(s)
97-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0368
212 reference(s)		 98-Galerie_BestOf.DIAPO.0033
212 reference(s)
99-Galerie_ArtisticCreation.DIAPO.0022
212 reference(s)		 100-EntrelacsIntertwinings.01.Ang.DIAPO.0463
212 reference(s)
101-EnsembleDesGaleries.DIAPO.0040
212 reference(s)		 102-EnsembleDesGaleries.DIAPO.0018
212 reference(s)
103-Galerie_ParticleSystems.DIAPO.0055
211 reference(s)		 104-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0022
211 reference(s)
105-Galerie_GeneralitiesVisualization.DIAPO.0088
211 reference(s)		 106-EntrelacsIntertwinings.01.Ang.DIAPO.0461
211 reference(s)
107-EnsembleDesGaleries.DIAPO.0015
211 reference(s)		 108-EnsembleDesGaleries.DIAPO.0001
211 reference(s)
109-ArtScience.11.Ang.DIAPO.0027
211 reference(s)		 110-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0367
210 reference(s)
111-MonodimensionalCellularAutomata.01.Fra
210 reference(s)		 112-Galerie_TextureSynthesis.DIAPO.0020
210 reference(s)
113-Galerie_TextureSynthesis.DIAPO.0019
210 reference(s)		 114-Galerie_DeterministicFractalGeometry.DIAPO.0034
210 reference(s)
115-Galerie_DeterministicFractalGeometry.DIAPO.0029
210 reference(s)		 116-Galerie_DeterministicFractalGeometry.DIAPO.0024
210 reference(s)
117-Galerie_ArtisticCreation.DIAPO.0023
210 reference(s)		 118-EntrelacsIntertwinings.01.Ang.DIAPO.0460
210 reference(s)
119-EnsembleDesGaleries.DIAPO.0033
210 reference(s)		 120-EnsembleDesGaleries.DIAPO.0019
210 reference(s)
121-EnsembleDesGaleries.DIAPO.0014
210 reference(s)		 122-ArtScience.11.Ang.DIAPO.0025
210 reference(s)
123-mail.01.vv
209 reference(s)		 124-Galerie_ParticleSystems.DIAPO.0053
209 reference(s)
125-Galerie_ParticleSystems.DIAPO.0052
209 reference(s)		 126-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0021
209 reference(s)
127-Galerie_GeneralitiesVisualization.DIAPO.0087
209 reference(s)		 128-Galerie_BestOf.DIAPO.0031
209 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.