Monthly Best Of on 06/28/2010




Intertwining based on the geometry of the Bonan-Jeener-Klein triple bottle

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 06/28/2010 and last updated on 11/14/2023 17:47:35 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



From the infinitely small to the infinitely big
1-1354 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-384 reference(s)		 From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
3-163 reference(s)		 An extended foggy 'MandelBox' -tridimensional cross-section-
4-151 reference(s)
The random walk of photons escaping the Sun
5-148 reference(s)		 Hypercube
6-126 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
7-120 reference(s)		 The Lorenz attractor
8-114 reference(s)
Happy new year 2000
9-101 reference(s)		 Quark and gluon structure of a nucleon
10-99 reference(s)		 Quark and gluon structure of a nucleon
11-98 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
12-88 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
13-86 reference(s)		 The random walk of photons escaping the Sun
14-81 reference(s)		 Autostereogram with an hidden volcano
15-74 reference(s)		 Autostereogram with an hidden volcano
16-73 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
17-72 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
18-70 reference(s)		 Artistic view of the prime numbers
19-69 reference(s)		 Welcome aboard a Virtual Space-Time Travel Machine
20-63 reference(s)
Intertwining
21-62 reference(s)		 The random walk of photons escaping the Sun
22-57 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
23-57 reference(s)		 The Scream -a Tribute to Edvard Munch-
24-56 reference(s)
From Pluto to the Sun (non linear scales)
25-55 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
26-54 reference(s)		 Electron-positron scattering
27-53 reference(s)		 Autostereogram with an hidden volcano
28-52 reference(s)
Autostereogram of Monument Valley
29-52 reference(s)		 A tridimensional Möbius-like manifold defined by means of three tridimensional fields
30-49 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
31-49 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
32-47 reference(s)
Autostereogram with an hidden volcano
33-45 reference(s)		 True colors autostereogram of a fractal landscape
34-45 reference(s)		 Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
35-45 reference(s)		 Autostereogram with an hidden ring and ghost bows
36-43 reference(s)
Rotation about the X axis of the Lorenz attractor
37-43 reference(s)		 Close-up on a foggy 'MandelBox' -tridimensional cross-section-
38-42 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
39-42 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
40-42 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
41-42 reference(s)		 A shell (Jeener surface 1)in motion
42-40 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)
43-37 reference(s)		 Fractal intertwining
44-36 reference(s)
Autostereogram with an hidden volcano
45-36 reference(s)		 The Möbius strip
46-36 reference(s)		 Alien
47-34 reference(s)		 24 evenly distributed points on a sphere by means of simulated annealing
48-34 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
49-34 reference(s)		 The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
50-34 reference(s)		 A bidimensional field
51-33 reference(s)		 Intertwining based on the geometry of the Boy surface
52-33 reference(s)
An Archimedes spiral displaying 1000 numbers
53-32 reference(s)		 6 evenly distributed points on a sphere -an Octahedron- by means of simulated annealing
54-31 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
55-31 reference(s)		 A fractal landscape
56-31 reference(s)
Artistic view of the Big Bang
57-30 reference(s)		 Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
58-30 reference(s)		 Autostereogram with an hidden volcano
59-29 reference(s)		 Zoom in on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
60-29 reference(s)
The Birth of the Universe
61-29 reference(s)		 The Jeener-Klein triple bottle
62-29 reference(s)		 The normal field of a fractal surface defined by means of three bidimensional fields
63-28 reference(s)		 Monument Valley at sunrise
64-28 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
65-28 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
66-28 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-
67-28 reference(s)		 Tridimensional fractal structure
68-28 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
69-27 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
70-27 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
71-27 reference(s)		 The generalized Ulam spiral displaying 100 numbers
72-27 reference(s)
Mountains at sunrise
73-27 reference(s)		 Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
74-27 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
75-27 reference(s)		 Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
76-26 reference(s)
A perfect bidimensional piston with following initial conditions: still piston, high temperature particles at left and low temperature particles at right, in a bidimensional box submitted to a vertical field of gravity
77-26 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
78-26 reference(s)		 The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
79-26 reference(s)		 Computation of the Lorenz attractor on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
80-26 reference(s)
The Gate
81-25 reference(s)		 Tridimensional zoom in on the Mandelbrot set with mapping of the arguments
82-25 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
83-25 reference(s)		 La Génèse (1974)
84-25 reference(s)
The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
85-24 reference(s)		 The Lorenz attractor in motion
86-24 reference(s)		 Along the border of the Mandelbrot set
87-23 reference(s)		 Autostereogram with an hidden volcano
88-23 reference(s)
Cloudy Monument Valley
89-23 reference(s)		 Consciousness exploring Mathematics
90-23 reference(s)		 The 5x5=25 patches of the tridimensional representation of a quadridimensional Calabi-Yau manifold
91-23 reference(s)		 16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
92-22 reference(s)
The Eratosthene sieve displaying 100x100 numbers
93-22 reference(s)		 A fractal surface (four iterations)defined by means of three bidimensional fields
94-22 reference(s)		 Beyond the Gate
95-22 reference(s)		 An extended foggy 'MandelBox' -tridimensional cross-section-
96-22 reference(s)
Cliffs at sunset
97-22 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
98-22 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
99-21 reference(s)		 Quark and gluon dynamics of the nucleon
100-21 reference(s)
Inside the Gate
101-21 reference(s)		 Erosion in Monument Valley with fog
102-21 reference(s)		 Forward tridimensional integration of the wavelet filtering of a bidimensional fractal field with cross-section
103-21 reference(s)		 Periodical earthquake with multifractal mountains
104-21 reference(s)
Foggy cliffs
105-21 reference(s)		 The Bonan-Jeener-Klein triple bottle
106-21 reference(s)		 Quantum vacuum fluctuations
107-20 reference(s)		 Recursive intertwining
108-20 reference(s)
Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
109-20 reference(s)		 Untitled 0031
110-20 reference(s)		 Artistic view of Monument Valley
111-20 reference(s)		 Waltzing Monument Valley (bird's-eye view)
112-20 reference(s)
Time-integration of the bidimensional Ising Model with 2-state spins, temperature=0.2 and random initial conditions
113-20 reference(s)		 A fractal height field
114-20 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
115-20 reference(s)		 The Jeener-Klein quintuple bottle
116-20 reference(s)
Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
117-19 reference(s)		 Waltzing Monument Valley
118-19 reference(s)		 The Solar System with a dark blue virtual planet -virtual planet point of view-
119-19 reference(s)		 Integration of 128 tridimensional cross-sections of a quaternionic Julia set computed along its fourth axis
120-19 reference(s)
A quaternionic Julia set -tridimensional cross-section-
121-19 reference(s)		 A distorted fractal height field
122-19 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
123-19 reference(s)		 Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
124-18 reference(s)
A fractal texture map
125-18 reference(s)		 The iterative process used to generate bidimensional fractal height fields (16 iterations)
126-18 reference(s)		 Intertwining based on the geometry of the sphere
127-18 reference(s)		 The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
128-18 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
990 reference(s)		 2-AVirtualSpaceTimeTravelMachine.Ang
442 reference(s)
3-An2000.01.Fra
400 reference(s)		 4-GenieLogiciel_VisualisationScientifique.01.vv
274 reference(s)
5-FloatingPointNumbers.01.Fra
267 reference(s)		 6-help.
253 reference(s)
7-AProposSite.01.Fra
250 reference(s)		 8-Galerie_GeneralitiesVisualization.DIAPO.0111
244 reference(s)
9-SurfaceProjector.01.Fra
240 reference(s)		 10-Galerie_NumberTheory.DIAPO.0061
238 reference(s)
11-EnsembleDesGaleries.DIAPO.0001
236 reference(s)		 12-Galerie_ArtisticCreation.DIAPO.0183
235 reference(s)
13-Stereogrammes_AutoStereogrammes.01
234 reference(s)		 14-Galerie_NumberTheory.DIAPO.0024
234 reference(s)
15-AVirtualSpaceTimeTravelMachine.Fra
234 reference(s)		 16-Galerie_NumberTheory.DIAPO.0026
233 reference(s)
17-Galerie_NumberTheory.DIAPO.0025
233 reference(s)		 18-Galerie_DeterministicFractalGeometry.FV
233 reference(s)
19-Galerie_GeneralitiesVisualization.DIAPO.0110
232 reference(s)		 20-Galerie_CelestialMechanics.DIAPO.0026
232 reference(s)
21-Galerie_ArtAndScience.DIAPO.0152
232 reference(s)		 22-Galerie_TextureSynthesis.DIAPO.0200
231 reference(s)
23-Galerie_NumberTheory.DIAPO.0022
231 reference(s)		 24-Galerie_DeterministicFractalGeometry.DIAPO.0033
231 reference(s)
25-Galerie_AnthropomorphicPatterns.DIAPO.0064
231 reference(s)		 26-Galerie_ParticleSystems.DIAPO.0055
230 reference(s)
27-Galerie_GeneralitiesVisualization.DIAPO.0109
230 reference(s)		 28-Galerie_DeterministicFractalGeometry.DIAPO.0022
230 reference(s)
29-Galerie_ArtisticCreation.DIAPO.0184
230 reference(s)		 30-Galerie_ArtisticCreation.DIAPO.0182
230 reference(s)
31-ArtScience.11.Ang.DIAPO.0039
230 reference(s)		 32-Galerie_TextureSynthesis.DIAPO.0092
229 reference(s)
33-Galerie_CelestialMechanics.DIAPO.0024
229 reference(s)		 34-Galerie_CelestialMechanics.DIAPO.0022
229 reference(s)
35-Galerie_BestOf.DIAPO.0033
229 reference(s)		 36-Galerie_ArtisticCreation.FV
229 reference(s)
37-Fractal.01
229 reference(s)		 38-ArtScience.11.Ang.DIAPO.0037
229 reference(s)
39-Galerie_ParticleSystems.DIAPO.0065
228 reference(s)		 40-Galerie_NumberTheory.DIAPO.0060
228 reference(s)
41-Galerie_NumberTheory.DIAPO.0027
228 reference(s)		 42-Galerie_NumberTheory.DIAPO.0021
228 reference(s)
43-Galerie_NewPictures.DIAPO.0027
228 reference(s)		 44-Galerie_ParticleSystems.DIAPO.0066
227 reference(s)
45-Galerie_ParticleSystems.DIAPO.0058
227 reference(s)		 46-Galerie_NumberTheory.DIAPO.0028
227 reference(s)
47-Galerie_NumberTheory.DIAPO.0023
227 reference(s)		 48-Galerie_GeneralitiesVisualization.DIAPO.0108
227 reference(s)
49-Galerie_GeneralitiesVisualization.DIAPO.0104
227 reference(s)		 50-Galerie_DeterministicFractalGeometry.DIAPO.0023
227 reference(s)
51-Galerie_ParticleSystems.DIAPO.0062
226 reference(s)		 52-Galerie_ParticleSystems.DIAPO.0057
226 reference(s)
53-Galerie_DeterministicFractalGeometry.DIAPO.0021
226 reference(s)		 54-Galerie_CelestialMechanics.DIAPO.0023
226 reference(s)
55-Galerie_CelestialMechanics.DIAPO.0021
226 reference(s)		 56-Galerie_BestOf.DIAPO.0030
226 reference(s)
57-Galerie_BestOf.DIAPO.0029
226 reference(s)		 58-Galerie_BestOf.DIAPO.0028
226 reference(s)
59-Galerie_AnthropomorphicPatterns.DIAPO.0028
226 reference(s)		 60-ArtScience.11.Ang.DIAPO.0038
226 reference(s)
61-ArtScience.11.Ang.DIAPO.0036
226 reference(s)		 62-Galerie_TextureSynthesis.DIAPO.0199
225 reference(s)
63-Galerie_TextureSynthesis.DIAPO.0198
225 reference(s)		 64-Galerie_TextureSynthesis.DIAPO.0197
225 reference(s)
65-Galerie_TextureSynthesis.DIAPO.0196
225 reference(s)		 66-Galerie_ParticleSystems.DIAPO.0056
225 reference(s)
67-Galerie_ParticleSystems.DIAPO.0054
225 reference(s)		 68-Galerie_ParticleSystems.DIAPO.0053
225 reference(s)
69-Galerie_NumberTheory.DIAPO.0059
225 reference(s)		 70-Galerie_NumberTheory.DIAPO.0029
225 reference(s)
71-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
225 reference(s)		 72-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0146
225 reference(s)
73-Galerie_NewPictures.DIAPO.0074
225 reference(s)		 74-Galerie_NewPictures.DIAPO.0071
225 reference(s)
75-Galerie_NewPictures.DIAPO.0070
225 reference(s)		 76-Galerie_NewPictures.DIAPO.0032
225 reference(s)
77-Galerie_GeneralitiesVisualization.DIAPO.0106
225 reference(s)		 78-Galerie_GeneralitiesVisualization.DIAPO.0105
225 reference(s)
79-Galerie_GeneralitiesVisualization.DIAPO.0086
225 reference(s)		 80-Galerie_DeterministicFractalGeometry.DIAPO.0032
225 reference(s)
81-Galerie_CelestialMechanics.DIAPO.0025
225 reference(s)		 82-Galerie_ArtisticCreation.DIAPO.0181
225 reference(s)
83-Galerie_AnthropomorphicPatterns.DIAPO.0062
225 reference(s)		 84-Galerie_AnthropomorphicPatterns.DIAPO.0060
225 reference(s)
85-Galerie_AnthropomorphicPatterns.DIAPO.0058
225 reference(s)		 86-EnsembleDesGaleries.DIAPO.0021
225 reference(s)
87-Galerie_ParticleSystems.DIAPO.0064
224 reference(s)		 88-Galerie_ParticleSystems.DIAPO.0061
224 reference(s)
89-Galerie_ParticleSystems.DIAPO.0051
224 reference(s)		 90-Galerie_NumberTheory.DIAPO.0057
224 reference(s)
91-Galerie_NewPictures.DIAPO.0082
224 reference(s)		 92-Galerie_GeneralitiesVisualization.DIAPO.0107
224 reference(s)
93-Galerie_GeneralitiesVisualization.DIAPO.0103
224 reference(s)		 94-Galerie_GeneralitiesVisualization.DIAPO.0096
224 reference(s)
95-Galerie_DeterministicFractalGeometry.DIAPO.0026
224 reference(s)		 96-Galerie_DeterministicFractalGeometry.DIAPO.0024
224 reference(s)
97-Galerie_BestOf.DIAPO.0032
224 reference(s)		 98-Galerie_AnthropomorphicPatterns.DIAPO.0063
224 reference(s)
99-Galerie_AnthropomorphicPatterns.DIAPO.0025
224 reference(s)		 100-EnsembleDesGaleries.DIAPO.0022
224 reference(s)
101-ArtScience.11.Ang.DIAPO.0031
224 reference(s)		 102-SurfaceProjector.01.Ang
223 reference(s)
103-Galerie_TextureSynthesis.DIAPO.0195
223 reference(s)		 104-Galerie_ParticleSystems.DIAPO.0063
223 reference(s)
105-Galerie_ParticleSystems.DIAPO.0059
223 reference(s)		 106-Galerie_GeneralitiesVisualization.DIAPO.0095
223 reference(s)
107-Galerie_DeterministicFractalGeometry.DIAPO.0029
223 reference(s)		 108-Galerie_ArtisticCreation.DIAPO.0024
223 reference(s)
109-Galerie_ArtAndScience.DIAPO.0151
223 reference(s)		 110-Galerie_AnthropomorphicPatterns.DIAPO.0059
223 reference(s)
111-Galerie_AnthropomorphicPatterns.DIAPO.0030
223 reference(s)		 112-EnsembleDesGaleries.DIAPO.0020
223 reference(s)
113-ArtScience.11.Ang.DIAPO.0033
223 reference(s)		 114-Galerie_TextureSynthesis.DIAPO.0093
222 reference(s)
115-Galerie_TextureSynthesis.DIAPO.0076
222 reference(s)		 116-Galerie_ParticleSystems.DIAPO.0049
222 reference(s)
117-Galerie_NumberTheory.DIAPO.0020
222 reference(s)		 118-Galerie_NewPictures.DIAPO.0128
222 reference(s)
119-Galerie_NewPictures.DIAPO.0127
222 reference(s)		 120-Galerie_NewPictures.DIAPO.0121
222 reference(s)
121-Galerie_NewPictures.DIAPO.0083
222 reference(s)		 122-Galerie_NewPictures.DIAPO.0081
222 reference(s)
123-Galerie_NewPictures.DIAPO.0075
222 reference(s)		 124-Galerie_NewPictures.DIAPO.0072
222 reference(s)
125-Galerie_NewPictures.DIAPO.0029
222 reference(s)		 126-Galerie_NewPictures.DIAPO.0028
222 reference(s)
127-Galerie_GeneralitiesVisualization.DIAPO.0102
222 reference(s)		 128-Galerie_GeneralitiesVisualization.DIAPO.0098
222 reference(s)

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




Copyright © Jean-François COLONNA, 2010-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2010-2023.