Monthly Best Of on 08/28/2010




The Klein bottle

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 08/28/2010 and last updated on 10/03/2024 17:02:03 -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
1-193 reference(s)		From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
2-189 reference(s)		A tridimensional Möbius-like manifold defined by means of three tridimensional fields
3-150 reference(s)		The random walk of photons escaping the Sun
4-146 reference(s)
Quark and gluon structure of a nucleon
5-135 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
6-134 reference(s)		Quark and gluon structure of a nucleon
7-110 reference(s)		Hypercube
8-92 reference(s)
The random walk of photons escaping the Sun
9-91 reference(s)		The Lorenz attractor
10-86 reference(s)		The random walk of photons escaping the Sun
11-68 reference(s)		The Klein bottle
12-68 reference(s)
Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
13-68 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
14-58 reference(s)		Artistic view of the Big Bang
15-51 reference(s)		Autostereogram with an hidden volcano
16-50 reference(s)
Electron-positron scattering
17-50 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
18-49 reference(s)		Welcome aboard a Virtual Space-Time Travel Machine
19-48 reference(s)		Autostereogram with an hidden volcano
20-47 reference(s)
Artistic view of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0) -tridimensional cross-section-
21-47 reference(s)		Artistic view of the prime numbers
22-47 reference(s)		Fractal synthesis of mountains with vegetation and stormy clouds
23-46 reference(s)		Rotation about the X axis of the Lorenz attractor
24-44 reference(s)
Autostereogram with an hidden volcano
25-43 reference(s)		From Pluto to the Sun (non linear scales)
26-43 reference(s)		From the infinitely small to the infinitely big
27-43 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
28-42 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
29-41 reference(s)		Autostereogram with an hidden volcano
30-41 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
31-40 reference(s)		Along the border of the Mandelbrot set
32-39 reference(s)
Intertwining
33-39 reference(s)		A shell (Jeener surface 1)in motion
34-39 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
35-39 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
36-38 reference(s)
Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
37-38 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
38-38 reference(s)		Quark and gluon dynamics of the nucleon
39-37 reference(s)		The generalized Ulam spiral displaying 100 numbers
40-35 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)
41-35 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
42-35 reference(s)		The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
43-35 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
44-35 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
45-35 reference(s)		Autostereogram with an hidden ring and ghost bows
46-34 reference(s)		The Scream -a Tribute to Edvard Munch-
47-34 reference(s)		Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
48-34 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
49-34 reference(s)		Artistic view of a quadridimensional Calabi-Yau manifold
50-34 reference(s)		Fractal intertwining
51-33 reference(s)		Close-up on a foggy 'MandelBox' -tridimensional cross-section-
52-33 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
53-33 reference(s)		Autostereogram of Monument Valley
54-32 reference(s)		The same bidimensional scalar field displayed with 4 different color palettes
55-32 reference(s)		Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
56-32 reference(s)
Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
57-31 reference(s)		Untitled 0132
58-31 reference(s)		Intertwining based on the geometry of the Boy surface
59-31 reference(s)		Autostereogram with an hidden volcano
60-30 reference(s)
Alien
61-30 reference(s)		Beyond the Gate
62-30 reference(s)		Recursive intertwining
63-29 reference(s)		The generalized Ulam spiral displaying 1024 numbers
64-29 reference(s)
True colors autostereogram of a fractal landscape
65-29 reference(s)		Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
66-29 reference(s)		The Jeener-Klein triple bottle
67-29 reference(s)		Botticelli anomaly on the Moon
68-28 reference(s)
Artistic view of Monument Valley
69-28 reference(s)		The Birth of the Universe
70-28 reference(s)		Along the border of the Mandelbrot set
71-27 reference(s)		Fractal structure of a nucleon
72-27 reference(s)
Tridimensional fractal structure
73-27 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
74-27 reference(s)		Rotation about the Y (vertical)axis of the Klein bottle 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)
'There is a war' -a Tribute to Leonard Cohen-
77-26 reference(s)		The Gate
78-26 reference(s)		The Solar System with a dark blue virtual planet -virtual planet point of view-
79-26 reference(s)		The Möbius strip
80-26 reference(s)
The Möbius strip
81-26 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
82-26 reference(s)		La Génèse (1974)
83-26 reference(s)		Cliffs at sunset
84-26 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
85-25 reference(s)		Inside the Gate
86-25 reference(s)		Monument Valley at sunrise
87-25 reference(s)		Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
88-25 reference(s)
An extended foggy 'MandelBox' -tridimensional cross-section-
89-25 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
90-25 reference(s)		Synthesis of tridimensional textures by means of a fractal process
91-25 reference(s)		The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
92-24 reference(s)
Autostereogram with an hidden volcano
93-24 reference(s)		Cloudy Monument Valley
94-24 reference(s)		Mountains at sunrise
95-24 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)
96-24 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-
97-24 reference(s)		A fractal landscape
98-24 reference(s)		Tridimensional fractal structure
99-24 reference(s)		Intertwining based on the geometry of the Bonan-Jeener-Klein triple bottle
100-23 reference(s)
Autostereogram with an hidden volcano
101-23 reference(s)		Waltzing Monument Valley
102-23 reference(s)		Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
103-23 reference(s)		The peeling of a 'MandelBox' -tridimensional cross-sections-
104-23 reference(s)
A quaternionic Julia set -tridimensional cross-section-
105-23 reference(s)		A fractal height field
106-23 reference(s)		A shell (Jeener surface 1)
107-23 reference(s)		The relief -modulus- of the function sin(z)with argument mapping
108-23 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
109-22 reference(s)		The bidimensional field defining the three coordinates of the Klein bottle
110-22 reference(s)		The Eratosthene sieve displaying 10x10 numbers
111-22 reference(s)		Bloody mountain
112-22 reference(s)
Erosion in Monument Valley with fog
113-22 reference(s)		Untitled 0133
114-22 reference(s)		Happy new year 2000
115-22 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
116-22 reference(s)
Periodical earthquake with multifractal mountains
117-22 reference(s)		The normal field of the Klein bottle
118-22 reference(s)		Generation of the 63 first Conway's surreal numbers
119-21 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
120-21 reference(s)
Isotropic random walk of 4 particles on a bidimensional square lattice with display of their gravity center -white particle-
121-21 reference(s)		Waltzing Monument Valley (bird's-eye view)
122-21 reference(s)		Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
123-21 reference(s)		The iterative process used to generate bidimensional fractal height fields (16 iterations)
124-21 reference(s)
A shell (Jeener surface 1)
125-21 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
126-20 reference(s)		The normal field of a fractal surface defined by means of three bidimensional fields
127-20 reference(s)		An Archimedes spiral displaying 1000 numbers
128-20 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
911 reference(s)		2-An2000.01.Fra
399 reference(s)
3-AVirtualSpaceTimeTravelMachine.Ang
383 reference(s)		4-FloatingPointNumbers.01.Fra
307 reference(s)
5-Fractal.01
295 reference(s)		6-GenieLogiciel_VisualisationScientifique.01.vv
294 reference(s)
7-AProposSite.01.Fra
276 reference(s)		8-EnsembleDesGaleries.DIAPO.0001
270 reference(s)
9-AVirtualSpaceTimeTravelMachine.Fra
268 reference(s)		10-Galerie_TextureSynthesis.DIAPO.0019
259 reference(s)
11-Galerie_GeneralitiesVisualization.FV
259 reference(s)		12-SurfaceProjector.01.Ang
257 reference(s)
13-Galerie_ArtisticCreation.FV
257 reference(s)		14-Galerie_TextureSynthesis.DIAPO.0018
256 reference(s)
15-Galerie_DeterministicFractalGeometry.FV
255 reference(s)		16-Galerie_NumberTheory.FV
254 reference(s)
17-Galerie_NumberTheory.DIAPO.0021
253 reference(s)		18-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
253 reference(s)
19-ExpV_VirE.01.Ang
253 reference(s)		20-Galerie_TextureSynthesis.DIAPO.0020
252 reference(s)
21-NDimensionalDeterministicFractalSets.01.Fra
251 reference(s)		22-Galerie_NumberTheory.DIAPO.0022
251 reference(s)
23-Galerie_NewPictures.DIAPO.0032
251 reference(s)		24-Galerie_BestOf.DIAPO.0019
250 reference(s)
25-Galerie_GeneralitiesVisualization.DIAPO.0111
249 reference(s)		26-Galerie_TextureSynthesis.DIAPO.0021
248 reference(s)
27-Galerie_NumberTheory.DIAPO.0054
248 reference(s)		28-EnsembleDesGaleries.DIAPO.0020
248 reference(s)
29-Galerie_NumberTheory.DIAPO.0061
247 reference(s)		30-Galerie_ParticleSystems.DIAPO.0052
246 reference(s)
31-Galerie_BestOf.DIAPO.0017
246 reference(s)		32-Galerie_ArtisticCreation.DIAPO.0020
246 reference(s)
33-Galerie_ArtAndScience.DIAPO.0154
246 reference(s)		34-Galerie_ParticleSystems.DIAPO.0056
245 reference(s)
35-Galerie_GeneralitiesVisualization.DIAPO.0100
245 reference(s)		36-Galerie_TextureSynthesis.DIAPO.0200
244 reference(s)
37-Galerie_TextureSynthesis.DIAPO.0088
244 reference(s)		38-Galerie_NumberTheory.DIAPO.0057
244 reference(s)
39-Galerie_BestOf.DIAPO.0030
244 reference(s)		40-Galerie_BestOf.DIAPO.0018
244 reference(s)
41-Galerie_TextureSynthesis.DIAPO.0048
243 reference(s)		42-Galerie_ParticleSystems.DIAPO.0053
243 reference(s)
43-Galerie_NumberTheory.DIAPO.0058
243 reference(s)		44-Galerie_NumberTheory.DIAPO.0052
243 reference(s)
45-Galerie_NumberTheory.DIAPO.0051
243 reference(s)		46-Galerie_GeneralitiesVisualization.DIAPO.0102
243 reference(s)
47-Galerie_BestOf.DIAPO.0027
243 reference(s)		48-Galerie_ArtAndScience.DIAPO.0153
243 reference(s)
49-EnsembleDesGaleries.DIAPO.0021
243 reference(s)		50-AQuoiServentLesMathematiques.01
243 reference(s)
51-Stereogrammes_AutoStereogrammes.01
242 reference(s)		52-Galerie_ParticleSystems.DIAPO.0059
242 reference(s)
53-Galerie_ParticleSystems.DIAPO.0055
242 reference(s)		54-Galerie_ParticleSystems.DIAPO.0051
242 reference(s)
55-Galerie_NumberTheory.DIAPO.0059
242 reference(s)		56-Galerie_NumberTheory.DIAPO.0050
242 reference(s)
57-Galerie_NumberTheory.DIAPO.0023
242 reference(s)		58-Galerie_NumberTheory.DIAPO.0020
242 reference(s)
59-Galerie_GeneralitiesVisualization.DIAPO.0105
242 reference(s)		60-Galerie_BestOf.DIAPO.0032
242 reference(s)
61-Galerie_BestOf.DIAPO.0031
242 reference(s)		62-EnsembleDesGaleries.DIAPO.0018
242 reference(s)
63-Galerie_TextureSynthesis.DIAPO.0084
241 reference(s)		64-Galerie_TextureSynthesis.DIAPO.0022
241 reference(s)
65-Galerie_ParticleSystems.DIAPO.0062
241 reference(s)		66-Galerie_ParticleSystems.DIAPO.0058
241 reference(s)
67-Galerie_NumberTheory.DIAPO.0049
241 reference(s)		68-Galerie_NumberTheory.DIAPO.0019
241 reference(s)
69-Galerie_BestOf.DIAPO.0023
241 reference(s)		70-Galerie_BestOf.DIAPO.0016
241 reference(s)
71-Galerie_ArtAndScience.DIAPO.0152
241 reference(s)		72-Galerie_ArtAndScience.DIAPO.0019
241 reference(s)
73-Galerie_ArtAndScience.DIAPO.0018
241 reference(s)		74-EnsembleDesGaleries.DIAPO.0002
241 reference(s)
75-Galerie_TextureSynthesis.DIAPO.0087
240 reference(s)		76-Galerie_TextureSynthesis.DIAPO.0050
240 reference(s)
77-Galerie_TextureSynthesis.DIAPO.0049
240 reference(s)		78-Galerie_NumberTheory.DIAPO.0056
240 reference(s)
79-Galerie_NumberTheory.DIAPO.0055
240 reference(s)		80-Galerie_NumberTheory.DIAPO.0024
240 reference(s)
81-Galerie_GeneralitiesVisualization.DIAPO.0104
240 reference(s)		82-Galerie_GeneralitiesVisualization.DIAPO.0103
240 reference(s)
83-Galerie_ArtAndScience.DIAPO.0022
240 reference(s)		84-EnsembleDesGaleries.DIAPO.0017
240 reference(s)
85-present.01.
239 reference(s)		86-Galerie_TextureSynthesis.DIAPO.0199
239 reference(s)
87-Galerie_TextureSynthesis.DIAPO.0085
239 reference(s)		88-Galerie_TextureSynthesis.DIAPO.0053
239 reference(s)
89-Galerie_TextureSynthesis.DIAPO.0023
239 reference(s)		90-Galerie_ParticleSystems.DIAPO.0066
239 reference(s)
91-Galerie_ParticleSystems.DIAPO.0065
239 reference(s)		92-Galerie_ParticleSystems.DIAPO.0063
239 reference(s)
93-Galerie_ParticleSystems.DIAPO.0060
239 reference(s)		94-Galerie_ParticleSystems.DIAPO.0057
239 reference(s)
95-Galerie_ParticleSystems.DIAPO.0054
239 reference(s)		96-Galerie_NumberTheory.DIAPO.0029
239 reference(s)
97-Galerie_GeneralitiesVisualization.DIAPO.0101
239 reference(s)		98-Galerie_GeneralitiesVisualization.DIAPO.0099
239 reference(s)
99-Galerie_GeneralitiesVisualization.DIAPO.0084
239 reference(s)		100-Galerie_CelestialMechanics.DIAPO.0020
239 reference(s)
101-Galerie_BestOf.DIAPO.0021
239 reference(s)		102-Galerie_AnthropomorphicPatterns.DIAPO.0064
239 reference(s)
103-EnsembleDesGaleries.DIAPO.0019
239 reference(s)		104-Galerie_TextureSynthesis.DIAPO.0069
238 reference(s)
105-Galerie_ParticleSystems.DIAPO.0064
238 reference(s)		106-Galerie_ParticleSystems.DIAPO.0050
238 reference(s)
107-Galerie_ParticleSystems.DIAPO.0046
238 reference(s)		108-Galerie_NumberTheory.DIAPO.0027
238 reference(s)
109-Galerie_NumberTheory.DIAPO.0026
238 reference(s)		110-Galerie_NewPictures.DIAPO.0031
238 reference(s)
111-Galerie_GeneralitiesVisualization.DIAPO.0098
238 reference(s)		112-Galerie_GeneralitiesVisualization.DIAPO.0097
238 reference(s)
113-Galerie_GeneralitiesVisualization.DIAPO.0086
238 reference(s)		114-Galerie_DeterministicFractalGeometry.DIAPO.0022
238 reference(s)
115-Galerie_CelestialMechanics.DIAPO.0021
238 reference(s)		116-Galerie_BestOf.DIAPO.0028
238 reference(s)
117-Galerie_BestOf.DIAPO.0022
238 reference(s)		118-Galerie_ArtisticCreation.DIAPO.0052
238 reference(s)
119-Galerie_ArtisticCreation.DIAPO.0036
238 reference(s)		120-Galerie_ArtisticCreation.DIAPO.0022
238 reference(s)
121-Galerie_ArtAndScience.DIAPO.0151
238 reference(s)		122-EnsembleDesGaleries.DIAPO.0333
238 reference(s)
123-EnsembleDesGaleries.DIAPO.0003
238 reference(s)		124-GenieLogiciel.01.Fra
237 reference(s)
125-Galerie_TextureSynthesis.DIAPO.0198
237 reference(s)		126-Galerie_TextureSynthesis.DIAPO.0065
237 reference(s)
127-Galerie_TextureSynthesis.DIAPO.0058
237 reference(s)		128-Galerie_TextureSynthesis.DIAPO.0052
237 reference(s)

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




Copyright © Jean-François COLONNA, 2010-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2010-2024.