Monthly Best Of on 09/28/2011




Intertwining

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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[Please, visit A Virtual Machine for Exploring Space-Time and Beyond, the place where you can find more than 10.000 pictures and animations between Art and Science]
(CMAP28 WWW site: this page was created on 09/28/2011 and last updated on 10/03/2024 17:02:18 -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
1-158 reference(s)		From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
2-131 reference(s)		The Lorenz attractor
3-82 reference(s)		Artistic view of the prime numbers
4-79 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
5-75 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
6-66 reference(s)		The random walk of photons escaping the Sun
7-63 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
8-62 reference(s)
Quark and gluon structure of a nucleon
9-61 reference(s)		Welcome aboard a Virtual Space-Time Travel Machine
10-61 reference(s)		The random walk of photons escaping the Sun
11-59 reference(s)		Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
12-55 reference(s)
Zoom in on the von Koch curve
13-54 reference(s)		Quantum vacuum fluctuations
14-52 reference(s)		Intertwining
15-48 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
16-45 reference(s)
Octonionic archimedian spirals with extended arithmetics
17-40 reference(s)		Quark and gluon structure of a nucleon
18-39 reference(s)		Octonionic clovers with extended arithmetics
19-38 reference(s)		The Möbius strip
20-38 reference(s)
Hypercube
21-38 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
22-36 reference(s)		From the infinitely small to the infinitely big
23-36 reference(s)		Fractal synthesis of mountains with vegetation and stormy clouds
24-35 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)
25-34 reference(s)		Mountains at sunrise
26-33 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-
27-32 reference(s)		Along the border of the Mandelbrot set
28-31 reference(s)
Autostereogram with an hidden volcano
29-31 reference(s)		Fractal structure of a nucleon
30-31 reference(s)		The generalized Ulam spiral displaying 100 numbers
31-31 reference(s)		A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
32-30 reference(s)
The random walk of photons escaping the Sun
33-28 reference(s)		Artistic view of the Big Bang
34-27 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
35-27 reference(s)		Recursive intertwining
36-26 reference(s)
Triple impossible staircase
37-26 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
38-26 reference(s)		24 evenly distributed points on a sphere by means of simulated annealing
39-25 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
40-25 reference(s)
2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
41-25 reference(s)		The Birth of the Universe
42-25 reference(s)		LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
43-25 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
44-24 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
45-24 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
46-24 reference(s)		The generalized Ulam spiral displaying 1024 numbers
47-23 reference(s)		Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
48-23 reference(s)
The Lorenz attractor
49-23 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-
50-23 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
51-23 reference(s)		Untitled 0137 -'Jour de Lenteur', a Tribute to Yves Tanguy-
52-22 reference(s)
Octonionic mountains with extended arithmetics
53-22 reference(s)		Happy new year 2000
54-22 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
55-22 reference(s)		Autostereogram with an hidden volcano
56-21 reference(s)
The Jeener-Klein triple bottle
57-21 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
58-20 reference(s)		Alien
59-20 reference(s)		Botticelli anomaly on the Moon
60-20 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-
61-20 reference(s)		Jean-Francois COLONNA meets Georgii Fedeorovitch Voronoi (non euclidian distance)
62-20 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
63-19 reference(s)		Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
64-19 reference(s)
True colors autostereogram of a fractal landscape
65-19 reference(s)		From Pluto to the Sun
66-19 reference(s)		Tridimensional visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
67-19 reference(s)		Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
68-19 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
69-19 reference(s)		Autostereogram with an hidden volcano
70-18 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
71-18 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
72-18 reference(s)
Animation of a sunrise on mountains
73-18 reference(s)		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
74-18 reference(s)		A shell (Jeener surface 1)in motion
75-18 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)
76-18 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
77-17 reference(s)		The Scream -a Tribute to Edvard Munch-
78-17 reference(s)		The octonionic Julia set computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0)-tridimensional cross-section-
79-17 reference(s)		Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
80-17 reference(s)
Electron-positron scattering
81-17 reference(s)		Autostereogram with an hidden ring and ghost bows
82-16 reference(s)		Autostereogram of Monument Valley
83-16 reference(s)		Mountains at sunrise
84-16 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
85-16 reference(s)		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
86-16 reference(s)		A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-'the children round' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
87-16 reference(s)		Tridimensional visualization of the Verhulst dynamics
88-16 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
89-16 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-
90-16 reference(s)		Impossible structure
91-16 reference(s)		Bidimensional clouds or height field
92-16 reference(s)
Quadruple impossible staircase built by means of a paradoxal structure -a Tribute to Maurits Cornelis Escher-
93-16 reference(s)		Cliffs at sunset
94-16 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
95-16 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
96-15 reference(s)
12 evenly distributed points on a sphere -an Icosahedron- by means of simulated annealing
97-15 reference(s)		Mystery mountain at sunrise
98-15 reference(s)		Monument Valley at sunrise
99-15 reference(s)		Different modes of representation of a tridimensional cross-section of a Quaternionic Julia set
100-15 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
101-15 reference(s)		A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
102-15 reference(s)		The quaternionic Mandelbrot set -tridimensional cross-section-
103-15 reference(s)		Tridimensional visualization of the Verhulst dynamics
104-15 reference(s)
The monsters of the lily pond
105-15 reference(s)		A quaternionic Julia set -tridimensional cross-section-
106-15 reference(s)		Artistic view of a quaternionic Julia set -tridimensional cross-section-
107-15 reference(s)		A quaternionic Julia set -tridimensional cross-section-
108-15 reference(s)
The Bonan-Jeener-Klein triple bottle
109-15 reference(s)		Paradoxal structure
110-14 reference(s)		Bidimensional fractal aggregate obtained by means of a 50% pasting process during collisions of particles submitted to a vertical field of gravity
111-14 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)
112-14 reference(s)
Recursive pentagon
113-14 reference(s)		'There is a war' -a Tribute to Leonard Cohen-
114-14 reference(s)		A set of 4x3 stereograms of a fractal mountain
115-14 reference(s)		Light clouds
116-14 reference(s)
The Solar System with a dark blue virtual planet -virtual planet point of view-
117-14 reference(s)		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
118-14 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-
119-14 reference(s)		A set of 4x3 stereograms of the quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
120-14 reference(s)
Happy new year 2000
121-14 reference(s)		Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
122-14 reference(s)		A gradient of 128312 particles obtains by means of a tridimensional diffusion process
123-14 reference(s)		Electron-neutrino scattering
124-14 reference(s)
Light clouds at sunset
125-14 reference(s)		Bidimensional brownian motion with a gaussian distribution law regarding the radial coordinate
126-14 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
127-13 reference(s)		Universe or Multiverse -The fractal Universe-?
128-13 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
1064 reference(s)		2-Galerie_GeneralitiesVisualization.FV
436 reference(s)
3-help.
426 reference(s)		4-AVirtualSpaceTimeTravelMachine.Ang
406 reference(s)
5-An2000.01.Fra
388 reference(s)		6-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
366 reference(s)
7-FloatingPointNumbers.01.Fra
339 reference(s)		8-Galerie_DeterministicFractalGeometry.FV
317 reference(s)
9-AQuoiServentLesMathematiques.01
316 reference(s)		10-ImagesDuVirtuel.01.Fra.FV
289 reference(s)
11-SurfaceProjector.01.Ang
284 reference(s)		12-NDimensionalDeterministicFractalSets.01.Fra
281 reference(s)
13-Fractal.01
279 reference(s)		14-NDimensionalDeterministicFractalSets.01.Ang
273 reference(s)
15-AVirtualSpaceTimeTravelMachine.Fra
270 reference(s)		16-MathematiquesPhysiqueFractales.02
252 reference(s)
17-Galerie_NewPictures.FV
252 reference(s)		18-Galerie_ArtisticCreation.FV
252 reference(s)
19-EntrelacsIntertwinings.01.Ang.DIAPO.0516
252 reference(s)		20-SurfaceProjector.01.Fra
248 reference(s)
21-aquoiserventlesmathematiques.01
242 reference(s)		22-GenieLogiciel_VisualisationScientifique.01.vv
242 reference(s)
23-Galerie_NumberTheory.FV
241 reference(s)		24-Stereogrammes_AutoStereogrammes.01
237 reference(s)
25-MonodimensionalCellularAutomata.01.Fra
237 reference(s)		26-ExpV_VirE.11
235 reference(s)
27-EntrelacsIntertwinings.01.Ang.DIAPO.0515
235 reference(s)		28-NatureDesMathematiques.01.vv.Fra
233 reference(s)
29-EntrelacsIntertwinings.01.Ang.DIAPO.0514
233 reference(s)		30-EntrelacsIntertwinings.01.Ang.DIAPO.0473
233 reference(s)
31-EntrelacsIntertwinings.01.Ang.DIAPO.0472
233 reference(s)		32-ImpossibleStructures.01.Ang
232 reference(s)
33-EntrelacsIntertwinings.01.Ang.DIAPO.0471
226 reference(s)		34-EntrelacsIntertwinings.01.Ang.DIAPO.0474
224 reference(s)
35-EntrelacsIntertwinings.01.Ang.DIAPO.0475
223 reference(s)		36-Galerie_CelestialMechanics.FV
222 reference(s)
37-FloatingPointNumbers.01.Ang
222 reference(s)		38-EntrelacsIntertwinings.01.Ang.DIAPO.0513
222 reference(s)
39-Galerie_ParticleSystems.FV
221 reference(s)		40-Galerie_ArtAndScience.DIAPO.0157
221 reference(s)
41-FaireDeLaRecherche.01.vv
221 reference(s)		42-Galerie_ArtAndScience.DIAPO.0158
220 reference(s)
43-Galerie_ArtAndScience.FV
219 reference(s)		44-EntrelacsIntertwinings.01.Ang.DIAPO.0470
219 reference(s)
45-Autostereograms.01.
219 reference(s)		46-Galerie_ArtisticCreation.DIAPO.0203
218 reference(s)
47-Galerie_ArtAndScience.DIAPO.0156
218 reference(s)		48-Galerie_ArtisticCreation.DIAPO.0198
217 reference(s)
49-EntrelacsIntertwinings.01.Ang.DIAPO.0476
217 reference(s)		50-Galerie_ArtisticCreation.DIAPO.0199
216 reference(s)
51-Galerie_ArtisticCreation.DIAPO.0189
216 reference(s)		52-Galerie_ArtAndScience.DIAPO.0155
216 reference(s)
53-EntrelacsIntertwinings.01.Ang.DIAPO.0512
216 reference(s)		54-GenieLogiciel.01.Fra
215 reference(s)
55-Galerie_DeterministicFractalGeometry.DIAPO.0053
215 reference(s)		56-Galerie_DeterministicFractalGeometry.DIAPO.0052
215 reference(s)
57-Galerie_ArtisticCreation.DIAPO.0201
215 reference(s)		58-Galerie_ArtisticCreation.DIAPO.0200
215 reference(s)
59-Galerie_ArtisticCreation.DIAPO.0188
215 reference(s)		60-Galerie_ArtisticCreation.DIAPO.0187
215 reference(s)
61-Galerie_ArtAndScience.DIAPO.0167
215 reference(s)		62-Galerie_ArtAndScience.DIAPO.0165
215 reference(s)
63-EntrelacsIntertwinings.01.Ang.DIAPO.0469
215 reference(s)		64-EntrelacsIntertwinings.01.Ang.DIAPO.0468
215 reference(s)
65-Galerie_DeterministicChaos.FV
214 reference(s)		66-Galerie_ArtisticCreation.DIAPO.0176
214 reference(s)
67-Galerie_ArtAndScience.DIAPO.0161
214 reference(s)		68-Galerie_ArtAndScience.DIAPO.0160
214 reference(s)
69-Galerie_ArtAndScience.DIAPO.0159
214 reference(s)		70-Galerie_ArtAndScience.DIAPO.0154
214 reference(s)
71-Galerie_DeterministicFractalGeometry.DIAPO.0044
213 reference(s)		72-Galerie_ArtisticCreation.DIAPO.0182
213 reference(s)
73-EntrelacsIntertwinings.01.Ang.DIAPO.0477
213 reference(s)		74-Galerie_ArtisticCreation.DIAPO.0202
212 reference(s)
75-Galerie_ArtisticCreation.DIAPO.0177
212 reference(s)		76-Galerie_ArtAndScience.DIAPO.0166
212 reference(s)
77-EntrelacsIntertwinings.01.Ang.DIAPO.0467
212 reference(s)		78-AProposSite.01.Fra
212 reference(s)
79-Galerie_DeterministicFractalGeometry.DIAPO.0063
211 reference(s)		80-Galerie_DeterministicFractalGeometry.DIAPO.0051
211 reference(s)
81-Galerie_ArtisticCreation.DIAPO.0191
211 reference(s)		82-Galerie_ArtisticCreation.DIAPO.0190
211 reference(s)
83-Galerie_ArtisticCreation.DIAPO.0184
211 reference(s)		84-Galerie_ArtisticCreation.DIAPO.0183
211 reference(s)
85-Galerie_ArtisticCreation.DIAPO.0175
211 reference(s)		86-Galerie_ArtAndScience.DIAPO.0164
211 reference(s)
87-Galerie_ArtAndScience.DIAPO.0152
211 reference(s)		88-Galerie_DeterministicFractalGeometry.DIAPO.0047
210 reference(s)
89-Galerie_ArtisticCreation.DIAPO.0196
210 reference(s)		90-Galerie_ArtisticCreation.DIAPO.0186
210 reference(s)
91-Galerie_ArtisticCreation.DIAPO.0179
210 reference(s)		92-Galerie_ArtisticCreation.DIAPO.0178
210 reference(s)
93-Galerie_ArtAndScience.DIAPO.0151
210 reference(s)		94-EntrelacsIntertwinings.01.Ang.DIAPO.0511
210 reference(s)
95-RealNumbers.01.Fra
209 reference(s)		96-ImpossibleStructures.01.Fra
209 reference(s)
97-Galerie_QuantumMechanics.FV
209 reference(s)		98-Galerie_ArtisticCreation.DIAPO.0181
209 reference(s)
99-Galerie_ArtisticCreation.DIAPO.0180
209 reference(s)		100-Galerie_ArtAndScience.DIAPO.0162
209 reference(s)
101-Galerie_ArtAndScience.DIAPO.0147
209 reference(s)		102-DieuScience.01.Fra
209 reference(s)
103-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0388
208 reference(s)		104-Galerie_ParticleSystems.DIAPO.0070
208 reference(s)
105-Galerie_DeterministicFractalGeometry.DIAPO.0064
208 reference(s)		106-Galerie_DeterministicFractalGeometry.DIAPO.0061
208 reference(s)
107-Galerie_DeterministicFractalGeometry.DIAPO.0050
208 reference(s)		108-Galerie_DeterministicFractalGeometry.DIAPO.0046
208 reference(s)
109-Galerie_BestOf.DIAPO.0028
208 reference(s)		110-Galerie_ArtisticCreation.DIAPO.0197
208 reference(s)
111-Galerie_ArtAndScience.DIAPO.0153
208 reference(s)		112-Galerie_ArtAndScience.DIAPO.0150
208 reference(s)
113-Galerie_ArtAndScience.DIAPO.0148
208 reference(s)		114-AnimFractal.01.
208 reference(s)
115-Galerie_ParticleSystems.DIAPO.0072
207 reference(s)		116-Galerie_DeterministicFractalGeometry.DIAPO.0060
207 reference(s)
117-Galerie_DeterministicFractalGeometry.DIAPO.0054
207 reference(s)		118-Galerie_DeterministicFractalGeometry.DIAPO.0043
207 reference(s)
119-Galerie_ArtisticCreation.DIAPO.0195
207 reference(s)		120-Galerie_ArtAndScience.DIAPO.0149
207 reference(s)
121-Galerie_ParticleSystems.DIAPO.0071
206 reference(s)		122-Galerie_DeterministicFractalGeometry.DIAPO.0059
206 reference(s)
123-Galerie_DeterministicFractalGeometry.DIAPO.0055
206 reference(s)		124-Galerie_DeterministicFractalGeometry.DIAPO.0045
206 reference(s)
125-Galerie_CelestialMechanics.DIAPO.0026
206 reference(s)		126-Galerie_ArtisticCreation.DIAPO.0185
206 reference(s)
127-Galerie_ArtisticCreation.DIAPO.0174
206 reference(s)		128-Galerie_ArtAndScience.DIAPO.0163
206 reference(s)

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




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