Monthly Best Of on 10/28/2010




Archimedes mountains (bird's-eye view)

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 10/28/2010 and last updated on 10/03/2024 17:02:04 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Tridimensional representation of a hexadimensional Calabi-Yau manifold
1-288 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-274 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-253 reference(s)		A tridimensional Möbius-like manifold defined by means of three tridimensional fields
4-216 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
5-204 reference(s)		Texture animation by means of the generalized Fourier filtering process
6-189 reference(s)		The Lorenz attractor
7-182 reference(s)		Quark and gluon structure of a nucleon
8-176 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
9-166 reference(s)		Welcome aboard a Virtual Space-Time Travel Machine
10-154 reference(s)		The random walk of photons escaping the Sun
11-141 reference(s)		Quark and gluon structure of a nucleon
12-133 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
13-126 reference(s)		The random walk of photons escaping the Sun
14-125 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
15-113 reference(s)		Psychedelic hypercube
16-109 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
17-108 reference(s)		Fractal synthesis of mountains with vegetation and stormy clouds
18-105 reference(s)		Artistic view of the Big Bang
19-101 reference(s)		Along the border of the Mandelbrot set
20-98 reference(s)
Artistic view of the prime numbers
21-93 reference(s)		The random walk of photons escaping the Sun
22-92 reference(s)		Rotation about the X axis of the Lorenz attractor
23-91 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
24-85 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)
25-85 reference(s)		Animation of a sunrise on mountains
26-82 reference(s)		From Pluto to the Sun (non linear scales)
27-82 reference(s)		The Möbius strip
28-79 reference(s)
The Scream -a Tribute to Edvard Munch-
29-77 reference(s)		Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
30-77 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-
31-76 reference(s)		Recursive intertwining
32-75 reference(s)
Hypercube
33-74 reference(s)		Autostereogram with an hidden volcano
34-72 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
35-70 reference(s)		From the infinitely small to the infinitely big
36-69 reference(s)
Intertwining
37-68 reference(s)		Alien
38-68 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
39-68 reference(s)		24 evenly distributed points on a sphere by means of simulated annealing
40-66 reference(s)
Along the border of the Mandelbrot set
41-65 reference(s)		16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
42-61 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
43-60 reference(s)		Electron-positron scattering
44-60 reference(s)
Botticelli anomaly on the Moon
45-58 reference(s)		A quaternionic Julia set -tridimensional cross-section-
46-58 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
47-57 reference(s)		Autostereogram with an hidden volcano
48-55 reference(s)
Tridimensional fractal structure
49-53 reference(s)		A shell (Jeener surface 1)in motion
50-51 reference(s)		The generalized Ulam spiral displaying 100 numbers
51-50 reference(s)		A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-'the children round' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
52-49 reference(s)
The monsters of the lily pond
53-49 reference(s)		The Birth of the Universe
54-49 reference(s)		Tridimensional fractal structure
55-49 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
56-48 reference(s)
Mountains and light clouds
57-48 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
58-48 reference(s)		Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
59-48 reference(s)		The generalized Ulam spiral displaying 1024 numbers
60-47 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
61-47 reference(s)		Autostereogram of Monument Valley
62-46 reference(s)		A quaternionic Julia set -tridimensional cross-section-
63-46 reference(s)		Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
64-45 reference(s)
Jean-François COLONNA
65-45 reference(s)		Tridimensional visualization of a bidimensional turbulent flow
66-45 reference(s)		Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
67-44 reference(s)		The Bonan-Jeener-Klein triple bottle
68-44 reference(s)
Intertwining based on the geometry of the Bonan-Jeener-Klein triple bottle
69-43 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
70-43 reference(s)		A set of 4x3 stereograms of a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
71-43 reference(s)		A set of 4x3 stereograms of a close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
72-43 reference(s)
Close-up on a foggy 'MandelBox' -tridimensional cross-section-
73-43 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
74-43 reference(s)		Happy new year 2000
75-42 reference(s)		Triple impossible staircase
76-42 reference(s)
Fractal diffusion front in a bidimensional medium obtained by means of a random walk process
77-42 reference(s)		Autostereogram with an hidden volcano
78-41 reference(s)		Inside the Gate
79-41 reference(s)		Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
80-41 reference(s)
Quantum vacuum fluctuations
81-40 reference(s)		Quark and gluon dynamics of the nucleon
82-40 reference(s)		A tridimensional cubic mesh defined by means of three tridimensional fields
83-40 reference(s)		The normal field of a fractal surface defined by means of three bidimensional fields
84-40 reference(s)
Mountains at sunrise
85-40 reference(s)		Mountains at sunrise
86-40 reference(s)		The random walk of photons escaping the Sun
87-39 reference(s)		Untitled 0031
88-39 reference(s)
Animation of a natural form
89-39 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
90-39 reference(s)		Intertwining based on the geometry of the sphere
91-39 reference(s)		The Jeener-Klein triple bottle
92-39 reference(s)
Autostereogram with an hidden volcano
93-38 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
94-38 reference(s)		Mountains and light cloud dynamics -this sequence being periodical-
95-38 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
96-38 reference(s)
Jean-François COLONNA
97-38 reference(s)		Artistic visualization of the Bonan-Jeener-Klein triple bottle
98-38 reference(s)		A tridimensional fractal structure
99-37 reference(s)		The self-similarity of the von Koch curve
100-37 reference(s)
Autostereogram with an hidden volcano
101-37 reference(s)		Untitled 0094
102-37 reference(s)		Tridimensional self-portrait
103-37 reference(s)		Tridimensional fractal structure
104-37 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
105-36 reference(s)		The Lorenz attractor
106-36 reference(s)		Bidimensional brownian motion -the colors used (magenta,red,yellow,green,cyan)are an increasing function of the time- and its 'external border' -white-
107-36 reference(s)		Fractal natural form
108-35 reference(s)
An arbitrary surface (Jeener surface 2)
109-35 reference(s)		The bottom of the sea
110-35 reference(s)		Foggy seaboard
111-35 reference(s)		LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
112-35 reference(s)
True colors autostereogram of a fractal landscape
113-34 reference(s)		A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
114-34 reference(s)		Snowy Rocky Mountains
115-34 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
116-34 reference(s)
An elementary monodimensional binary cellular automaton -184- with random white starting points -on the bottom line-
117-34 reference(s)		Exploding tridimensional fractal aggregate
118-33 reference(s)		A Peano 'fractal plane' defined by means of three bidimensional fields
119-33 reference(s)		3-foil torus knots
120-33 reference(s)
Consciousness exploring Mathematics
121-33 reference(s)		Steep island at sunset
122-33 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
123-33 reference(s)		Artistic view of the Bonan-Jeener-Klein triple bottle
124-33 reference(s)
Archimedes spirals
125-33 reference(s)		Artsitic view of Voronoi diagrams
126-32 reference(s)		Untitled 0054
127-32 reference(s)		Monument Valley at sunrise
128-32 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
997 reference(s)		2-AVirtualSpaceTimeTravelMachine.Ang
717 reference(s)
3-Fractal.01
594 reference(s)		4-An2000.01.Fra
415 reference(s)
5-fractal.01
320 reference(s)		6-MathematiquesPhysiqueFractales.02
315 reference(s)
7-Galerie_DeterministicFractalGeometry.FV
306 reference(s)		8-help.
276 reference(s)
9-FloatingPointNumbers.01.Fra
275 reference(s)		10-SurfaceProjector.01.Ang
271 reference(s)
11-AVirtualSpaceTimeTravelMachine.Fra
271 reference(s)		12-Galerie_GeneralitiesVisualization.FV
267 reference(s)
13-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
263 reference(s)		14-Galerie_ArtisticCreation.FV
263 reference(s)
15-Galerie_DeterministicFractalGeometry.DIAPO.0043
259 reference(s)		16-AQuoiServentLesMathematiques.01
259 reference(s)
17-Galerie_DeterministicFractalGeometry.DIAPO.0046
257 reference(s)		18-Galerie_DeterministicFractalGeometry.DIAPO.0045
257 reference(s)
19-NatureDesMathematiques.01.vv.Fra
256 reference(s)		20-GenieLogiciel_VisualisationScientifique.01.vv
256 reference(s)
21-NDimensionalDeterministicFractalSets.01.Fra
255 reference(s)		22-Galerie_DeterministicFractalGeometry.DIAPO.0044
255 reference(s)
23-Galerie_DeterministicFractalGeometry.DIAPO.0042
254 reference(s)		24-Galerie_DeterministicFractalGeometry.DIAPO.0040
254 reference(s)
25-Galerie_DeterministicFractalGeometry.DIAPO.0038
254 reference(s)		26-Galerie_DeterministicFractalGeometry.DIAPO.0047
253 reference(s)
27-Galerie_DeterministicFractalGeometry.DIAPO.0041
253 reference(s)		28-Galerie_DeterministicFractalGeometry.DIAPO.0039
252 reference(s)
29-Galerie_DeterministicFractalGeometry.DIAPO.0048
251 reference(s)		30-Galerie_DeterministicFractalGeometry.DIAPO.0037
251 reference(s)
31-Galerie_DeterministicFractalGeometry.DIAPO.0036
251 reference(s)		32-GenieLogiciel.01.Fra
250 reference(s)
33-Galerie_DeterministicFractalGeometry.DIAPO.0050
250 reference(s)		34-Galerie_DeterministicFractalGeometry.DIAPO.0035
249 reference(s)
35-Galerie_DeterministicFractalGeometry.DIAPO.0034
245 reference(s)		36-Galerie_DeterministicFractalGeometry.DIAPO.0049
243 reference(s)
37-Galerie_DeterministicFractalGeometry.DIAPO.0032
242 reference(s)		38-Stereogrammes_AutoStereogrammes.01
240 reference(s)
39-Galerie_DeterministicFractalGeometry.DIAPO.0033
238 reference(s)		40-EnsembleDesGaleries.DIAPO.0001
235 reference(s)
41-RealNumbers.01.Fra
234 reference(s)		42-Galerie_DeterministicFractalGeometry.DIAPO.0031
234 reference(s)
43-Galerie_DeterministicFractalGeometry.DIAPO.0028
234 reference(s)		44-Galerie_DeterministicFractalGeometry.DIAPO.0027
234 reference(s)
45-EnsembleDesGaleries.DIAPO.0102
234 reference(s)		46-EnsembleDesGaleries.DIAPO.0030
234 reference(s)
47-Galerie_DeterministicFractalGeometry.DIAPO.0029
233 reference(s)		48-Galerie_DeterministicFractalGeometry.DIAPO.0030
232 reference(s)
49-Galerie_DeterministicFractalGeometry.DIAPO.0026
232 reference(s)		50-EnsembleDesGaleries.DIAPO.0411
231 reference(s)
51-EnsembleDesGaleries.DIAPO.0029
231 reference(s)		52-MathematiquesPhysiqueFractales.01
230 reference(s)
53-Galerie_GeneralitiesVisualization.DIAPO.0099
230 reference(s)		54-Galerie_GeneralitiesVisualization.DIAPO.0098
230 reference(s)
55-EnsembleDesGaleries.DIAPO.0028
230 reference(s)		56-Galerie_DeterministicFractalGeometry.DIAPO.0023
229 reference(s)
57-Galerie_DeterministicFractalGeometry.DIAPO.0022
229 reference(s)		58-Galerie_DeterministicFractalGeometry.DIAPO.0021
229 reference(s)
59-EnsembleDesGaleries.DIAPO.0572
229 reference(s)		60-EnsembleDesGaleries.DIAPO.0173
229 reference(s)
61-EnsembleDesGaleries.DIAPO.0027
229 reference(s)		62-EnsembleDesGaleries.DIAPO.0021
229 reference(s)
63-DieuScience.01.Fra
229 reference(s)		64-Galerie_DeterministicFractalGeometry.DIAPO.0025
228 reference(s)
65-EnsembleDesGaleries.DIAPO.0412
228 reference(s)		66-EnsembleDesGaleries.DIAPO.0174
228 reference(s)
67-Galerie_DeterministicFractalGeometry.DIAPO.0024
227 reference(s)		68-EnsembleDesGaleries.DIAPO.0106
227 reference(s)
69-EnsembleDesGaleries.DIAPO.0101
227 reference(s)		70-EnsembleDesGaleries.DIAPO.0099
227 reference(s)
71-EnsembleDesGaleries.DIAPO.0032
227 reference(s)		72-EnsembleDesGaleries.DIAPO.0026
227 reference(s)
73-EnsembleDesGaleries.DIAPO.0022
227 reference(s)		74-Galerie_NewPictures.FV
226 reference(s)
75-Galerie_GeneralitiesVisualization.DIAPO.0100
226 reference(s)		76-EnsembleDesGaleries.DIAPO.0573
226 reference(s)
77-EnsembleDesGaleries.DIAPO.0570
226 reference(s)		78-EnsembleDesGaleries.DIAPO.0415
226 reference(s)
79-EnsembleDesGaleries.DIAPO.0219
226 reference(s)		80-EnsembleDesGaleries.DIAPO.0104
226 reference(s)
81-EnsembleDesGaleries.DIAPO.0103
226 reference(s)		82-EnsembleDesGaleries.DIAPO.0034
226 reference(s)
83-EnsembleDesGaleries.DIAPO.0033
226 reference(s)		84-Galerie_NewPictures.DIAPO.0025
225 reference(s)
85-Galerie_NewPictures.DIAPO.0024
225 reference(s)		86-EnsembleDesGaleries.DIAPO.0575
225 reference(s)
87-EnsembleDesGaleries.DIAPO.0410
225 reference(s)		88-EnsembleDesGaleries.DIAPO.0409
225 reference(s)
89-EnsembleDesGaleries.DIAPO.0105
225 reference(s)		90-EnsembleDesGaleries.DIAPO.0098
225 reference(s)
91-EnsembleDesGaleries.DIAPO.0031
225 reference(s)		92-Galerie_GeneralitiesVisualization.DIAPO.0097
224 reference(s)
93-EnsembleDesGaleries.DIAPO.0531
224 reference(s)		94-EnsembleDesGaleries.DIAPO.0414
224 reference(s)
95-EnsembleDesGaleries.DIAPO.0413
224 reference(s)		96-EnsembleDesGaleries.DIAPO.0175
224 reference(s)
97-EnsembleDesGaleries.DIAPO.0107
224 reference(s)		98-EnsembleDesGaleries.DIAPO.0100
224 reference(s)
99-EnsembleDesGaleries.DIAPO.0025
224 reference(s)		100-EnsembleDesGaleries.DIAPO.0020
224 reference(s)
101-copyright.01.
223 reference(s)		102-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0104
223 reference(s)
103-EnsembleDesGaleries.DIAPO.0574
223 reference(s)		104-EnsembleDesGaleries.DIAPO.0571
223 reference(s)
105-EnsembleDesGaleries.DIAPO.0405
223 reference(s)		106-EnsembleDesGaleries.DIAPO.0404
223 reference(s)
107-EnsembleDesGaleries.DIAPO.0317
223 reference(s)		108-EnsembleDesGaleries.DIAPO.0205
223 reference(s)
109-EnsembleDesGaleries.DIAPO.0116
223 reference(s)		110-EnsembleDesGaleries.DIAPO.0038
223 reference(s)
111-EnsembleDesGaleries.DIAPO.0024
223 reference(s)		112-EnsembleDesGaleries.DIAPO.0023
223 reference(s)
113-EnsembleDesGaleries.DIAPO.0566
222 reference(s)		114-EnsembleDesGaleries.DIAPO.0418
222 reference(s)
115-EnsembleDesGaleries.DIAPO.0318
222 reference(s)		116-EnsembleDesGaleries.DIAPO.0213
222 reference(s)
117-EnsembleDesGaleries.DIAPO.0176
222 reference(s)		118-EnsembleDesGaleries.DIAPO.0039
222 reference(s)
119-EnsembleDesGaleries.DIAPO.0036
222 reference(s)		120-mail.01.vv
221 reference(s)
121-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0103
221 reference(s)		122-Galerie_NewPictures.DIAPO.0031
221 reference(s)
123-Galerie_NewPictures.DIAPO.0029
221 reference(s)		124-Galerie_NewPictures.DIAPO.0023
221 reference(s)
125-Galerie_GeneralitiesVisualization.DIAPO.0093
221 reference(s)		126-Galerie_GeneralitiesVisualization.DIAPO.0091
221 reference(s)
127-EnsembleDesGaleries.DIAPO.0690
221 reference(s)		128-EnsembleDesGaleries.DIAPO.0568
221 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.