Monthly Best Of on 01/28/2010




Fractal landscape interpolation

Jean-François COLONNA

www.lactamme.polytechnique.fr

jean-francois.colonna@polytechnique.edu
CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, Ecole Polytechnique, CNRS, 91128 Palaiseau Cedex, France

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(CMAP28 WWW site: this page was created on 01/28/2010 and last updated on 04/15/2019 11:11:29 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Happy new year 2000
1-1367 reference(s)		 Happy new year 2000
2-549 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-401 reference(s)		 Welcome aboard a Virtual Space-Time Travel Machine
4-294 reference(s)
The Lorenz attractor
5-245 reference(s)		 From the infinitely small to the infinitely big
6-243 reference(s)		 A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
7-221 reference(s)		 Foggy Babel Tower -a tribute to Brueghel the Elder-
8-215 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
9-195 reference(s)		 LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
10-185 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-
11-184 reference(s)		 A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
12-182 reference(s)
The random walk of photons escaping the Sun
13-175 reference(s)		 Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
14-170 reference(s)		 Hypercube
15-169 reference(s)		 Quark and gluon structure of a nucleon
16-168 reference(s)
Quark and gluon structure of a nucleon
17-162 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
18-151 reference(s)		 Recursive intertwining
19-150 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
20-147 reference(s)
Paradoxal Monument Valley at sunset
21-142 reference(s)		 Jean-François Colonna
22-141 reference(s)		 Along the border of the Mandelbrot set
23-140 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
24-140 reference(s)
Electron-positron scattering
25-133 reference(s)		 Pi rotation about the Y axis of a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
26-129 reference(s)		 The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
27-129 reference(s)		 A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
28-128 reference(s)
Autostereogram with an hidden ring and ghost bows
29-127 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
30-127 reference(s)		 The random walk of photons escaping the Sun
31-126 reference(s)		 From the infinitely small to the infinitely big
32-126 reference(s)
From Pluto to the Sun (non linear scales)
33-120 reference(s)		 Artistic view of the Big Bang
34-117 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
35-116 reference(s)		 Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
36-115 reference(s)
Artistic view of the prime numbers
37-112 reference(s)		 Autostereogram with an hidden volcano
38-111 reference(s)		 24 evenly distributed points on a sphere by means of simulated annealing
39-110 reference(s)		 Rotation about the X axis of the Lorenz attractor
40-109 reference(s)
The Scream -a Tribute to Edvard Munch-
41-100 reference(s)		 Autostereogram with an hidden volcano
42-96 reference(s)		 The Birth of the Universe
43-94 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
44-94 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)
45-93 reference(s)		 16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
46-90 reference(s)		 Self-Portrait with intertwining
47-87 reference(s)		 From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
48-84 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
49-83 reference(s)		 Animation of a sunrise on mountains
50-82 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
51-81 reference(s)		 Alien
52-80 reference(s)
Along the border of the Mandelbrot set
53-78 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
54-76 reference(s)		 A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
55-74 reference(s)		 A shell (Jeener surface 1)in motion
56-74 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
57-74 reference(s)		 The normal field of a fractal surface defined by means of three bidimensional fields
58-73 reference(s)		 Botticelli anomaly on the Moon
59-73 reference(s)		 Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
60-71 reference(s)
Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
61-71 reference(s)		 Double impossible staircase
62-71 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
63-71 reference(s)		 The Liouville function displayed as a bidimensional random walk for the integer numbers from 2 to 1001
64-68 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
65-67 reference(s)		 Tridimensional fractal structure
66-64 reference(s)		 Mountains at sunrise
67-63 reference(s)		 32 points on a trigonometric circle
68-62 reference(s)
Translation along the fourth axis of a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
69-62 reference(s)		 A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
70-61 reference(s)		 Intertwining
71-60 reference(s)		 A foggy pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0) -tridimensional cross-section-
72-60 reference(s)
Autostereogram with an hidden volcano
73-59 reference(s)		 Mountains and light cloud dynamics -this sequence being periodical-
74-59 reference(s)		 Autostereogram with an hidden volcano
75-57 reference(s)		 The generalized Ulam spiral displaying 100 numbers
76-57 reference(s)
Autostereogram with an hidden volcano
77-56 reference(s)		 Quark and gluon dynamics of the nucleon
78-56 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
79-55 reference(s)		 The erection of the Babel Tower
80-55 reference(s)
Foggy steep island
81-55 reference(s)		 Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
82-54 reference(s)		 The Liouville function displayed as a tridimensional random walk for the integer numbers from 2 to 150001
83-54 reference(s)		 The Liouville function displayed as a bidimensional random walk for the integer numbers from 2 to 100001
84-54 reference(s)
The quaternionic Mandelbrot set -tridimensional cross-section-
85-54 reference(s)		 Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
86-54 reference(s)		 Periodical earthquake with multifractal mountains
87-54 reference(s)		 Quaternionic shell
88-53 reference(s)
The special Liouville function displayed as a bidimensional random walk for the integer numbers from 2 to 200001 (Red), 2 to 400001 (Green) and 2 to 800001 (Blue)
89-53 reference(s)		 A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-'the children round' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
90-52 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
91-52 reference(s)		 Artistic view of the trajectories of tridimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to a vertical field of gravity
92-51 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
93-49 reference(s)		 From Pluto to the Sun -extrapolation 2- (non linear scales)
94-49 reference(s)		 Zoom in on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
95-49 reference(s)		 Zoom in on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
96-49 reference(s)
Rotation about the Y (vertical)axis of a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb') that can also be viewed as a set of 4x3 stereograms -tridimensional cross-section-
97-48 reference(s)		 2.pi rotation about the Y axis of a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
98-48 reference(s)		 The Möbius strip
99-47 reference(s)		 Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
100-46 reference(s)
Intertwining based on the geometry of the sphere
101-46 reference(s)		 Animation of a natural form
102-45 reference(s)		 A fractal surface (five iterations)defined by means of three bidimensional fields
103-45 reference(s)		 'There is a war' -a Tribute to Leonard Cohen-
104-44 reference(s)
2.pi rotation about the Y axis of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')-tridimensional cross-section-
105-44 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
106-44 reference(s)		 Psychedelic hypercube
107-44 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
108-42 reference(s)
Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
109-42 reference(s)		 3-foil torus knots
110-41 reference(s)		 A foggy pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0) -tridimensional cross-section-
111-41 reference(s)		 The sum of all '780x575' pictures on 08/30/2009
112-40 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
113-40 reference(s)		 Tridimensional zoom in on the Mandelbrot set
114-40 reference(s)		 The Klein bottle
115-40 reference(s)		 Erosion in Monument Valley with fog
116-39 reference(s)
No Title 0031
117-38 reference(s)		 A bidimensional fern computed by means of an 'Iterated Function System' -IFS-
118-38 reference(s)		 Artistic view of the Bonan-Jeener's triple Klein bottle
119-38 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
120-38 reference(s)
Recursive intertwining
121-37 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
122-36 reference(s)		 The Liouville function displayed as a bidimensional random walk for the integer numbers from 2 to 100001
123-36 reference(s)		 The Eratosthene sieve displaying 100x100 numbers
124-36 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
125-36 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
126-36 reference(s)		 Artistic view of a quadridimensional Calabi-Yau manifold
127-36 reference(s)		 No Title 0072
128-35 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
1236 reference(s)		 2-AVirtualSpaceTimeTravelMachine.Ang
746 reference(s)
3-An2000.01.Fra
597 reference(s)		 4-NDimensionalDeterministicFractalSets.01.Fra
497 reference(s)
5-help.
460 reference(s)		 6-FloatingPointNumbers.01.Ang
440 reference(s)
7-FloatingPointNumbers.01.Fra
417 reference(s)		 8-Fractal.01
405 reference(s)
9-Galerie_GeneralitiesVisualization.FV
393 reference(s)		 10-Galerie_ArtisticCreation.FV
384 reference(s)
11-GenieLogiciel_VisualisationScientifique.01.vv
374 reference(s)		 12-AVirtualSpaceTimeTravelMachine.Fra
373 reference(s)
13-mail.01.vv
372 reference(s)		 14-Informations_AboutPicturesAnimationsAndFiles.01.Ang
371 reference(s)
15-copyright.01.
370 reference(s)		 16-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
362 reference(s)
17-SurfaceProjector.01.Ang
360 reference(s)		 18-Galerie_DeterministicFractalGeometry.FV
343 reference(s)
19-Galerie_TextureSynthesis.FV
339 reference(s)		 20-AQuoiServentLesMathematiques.01
339 reference(s)
21-AProposSite.01.Fra
338 reference(s)		 22-AnimFractal.01.
336 reference(s)
23-Galerie_NumberTheory.FV
326 reference(s)		 24-Galerie_ParticleSystems.FV
324 reference(s)
25-present.01.
317 reference(s)		 26-Galerie_CelestialMechanics.FV
317 reference(s)
27-GenieLogiciel.01.Fra
315 reference(s)		 28-EnsembleDesGaleries.DIAPO.0001
311 reference(s)
29-NDimensionalDeterministicFractalSets.01.Ang
310 reference(s)		 30-Informations_AboutPicturesAnimationsAndFiles.01.Fra
309 reference(s)
31-catalogue.11
305 reference(s)		 32-RealNumbers.01.Fra
299 reference(s)
33-Galerie_ArtAndScience.FV
299 reference(s)		 34-Galerie_DeterministicChaos.FV
296 reference(s)
35-SurfaceProjector.01.Fra
293 reference(s)		 36-EnsembleDesGaleries.DIAPO.0002
293 reference(s)
37-ExpV_VirE.Fra
288 reference(s)		 38-Galerie_NewPictures.FV
285 reference(s)
39-EnsembleDesGaleries.DIAPO.0003
284 reference(s)		 40-EnsembleDesGaleries.DIAPO.0004
277 reference(s)
41-ExpV_VirE.11
272 reference(s)		 42-Autostereograms.01.
270 reference(s)
43-ImagesDuVirtuel.01.Fra
269 reference(s)		 44-Galerie_NewPictures.DIAPO.0022
267 reference(s)
45-EnsembleDesGaleries.DIAPO.0005
267 reference(s)		 46-Galerie_QuantumMechanics.FV
263 reference(s)
47-Galerie_NewPictures.DIAPO.0027
261 reference(s)		 48-Stereogrammes_AutoStereogrammes.01
260 reference(s)
49-Galerie_SensitivityToRoundingOffErrors.FV
260 reference(s)		 50-Galerie_NewPictures.DIAPO.0032
260 reference(s)
51-Galerie_NewPictures.DIAPO.0024
260 reference(s)		 52-Galerie_NewPictures.DIAPO.0030
259 reference(s)
53-Galerie_ArtisticCreation.DIAPO.0118
259 reference(s)		 54-Galerie_AnthropomorphicPatterns.DIAPO.0022
258 reference(s)
55-EnsembleDesGaleries.DIAPO.0686
258 reference(s)		 56-EnsembleDesGaleries.DIAPO.0011
257 reference(s)
57-Vcatalogue.11
256 reference(s)		 58-Galerie_NewPictures.DIAPO.0023
256 reference(s)
59-Galerie_NewPictures.DIAPO.0021
256 reference(s)		 60-Galerie_ArtisticCreation.DIAPO.0054
256 reference(s)
61-EntrelacsIntertwinings.01.Fra
256 reference(s)		 62-An2000.05.Fra
256 reference(s)
63-EnsembleDesGaleries.DIAPO.0696
255 reference(s)		 64-EnsembleDesGaleries.DIAPO.0009
255 reference(s)
65-Galerie_NewPictures.DIAPO.0026
254 reference(s)		 66-Galerie_ArtisticCreation.DIAPO.0134
253 reference(s)
67-EnsembleDesGaleries.DIAPO.0624
253 reference(s)		 68-EnsembleDesGaleries.DIAPO.0019
253 reference(s)
69-Kepler.02.
252 reference(s)		 70-Galerie_ArtisticCreation.DIAPO.0124
252 reference(s)
71-Galerie_AnthropomorphicPatterns.DIAPO.0021
252 reference(s)		 72-EnsembleDesGaleries.DIAPO.0007
252 reference(s)
73-Galerie_BestOf.FV
251 reference(s)		 74-Galerie_ArtisticCreation.DIAPO.0050
251 reference(s)
75-EnsembleDesGaleries.DIAPO.0013
251 reference(s)		 76-An2000.04.Fra
251 reference(s)
77-Galerie_ArtisticCreation.DIAPO.0048
250 reference(s)		 78-Galerie_ArtisticCreation.DIAPO.0035
250 reference(s)
79-Galerie_ArtAndScience.DIAPO.0022
250 reference(s)		 80-EnsembleDesGaleries.DIAPO.0555
250 reference(s)
81-EnsembleDesGaleries.DIAPO.0021
250 reference(s)		 82-EnsembleDesGaleries.DIAPO.0018
250 reference(s)
83-EnsembleDesGaleries.DIAPO.0017
250 reference(s)		 84-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
249 reference(s)
85-Galerie_NewPictures.DIAPO.0019
249 reference(s)		 86-Galerie_ArtisticCreation.DIAPO.0021
249 reference(s)
87-Galerie_AnthropomorphicPatterns.DIAPO.0020
249 reference(s)		 88-EnsembleDesGaleries.DIAPO.0659
249 reference(s)
89-EnsembleDesGaleries.DIAPO.0265
249 reference(s)		 90-EnsembleDesGaleries.DIAPO.0020
249 reference(s)
91-EnsembleDesGaleries.DIAPO.0012
249 reference(s)		 92-EnsembleDesGaleries.DIAPO.0006
249 reference(s)
93-Galerie_NewPictures.DIAPO.0025
248 reference(s)		 94-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
248 reference(s)
95-Galerie_ArtisticCreation.DIAPO.0046
248 reference(s)		 96-Galerie_ArtisticCreation.DIAPO.0040
248 reference(s)
97-EnsembleDesGaleries.DIAPO.0010
248 reference(s)		 98-An2000.03.Fra
248 reference(s)
99-Galerie_NewPictures.DIAPO.0036
247 reference(s)		 100-Galerie_NewPictures.DIAPO.0020
247 reference(s)
101-Galerie_NewPictures.DIAPO.0015
247 reference(s)		 102-Galerie_ArtisticCreation.DIAPO.0055
247 reference(s)
103-Galerie_ArtisticCreation.DIAPO.0024
247 reference(s)		 104-Galerie_ArtAndScience.DIAPO.0113
247 reference(s)
105-EnsembleDesGaleries.DIAPO.0731
247 reference(s)		 106-EnsembleDesGaleries.DIAPO.0698
247 reference(s)
107-EnsembleDesGaleries.DIAPO.0692
247 reference(s)		 108-EnsembleDesGaleries.DIAPO.0022
247 reference(s)
109-Galerie_ArtisticCreation.DIAPO.0043
246 reference(s)		 110-Galerie_ArtisticCreation.DIAPO.0036
246 reference(s)
111-Galerie_AnthropomorphicPatterns.DIAPO.0027
246 reference(s)		 112-EnsembleDesGaleries.DIAPO.0699
246 reference(s)
113-EnsembleDesGaleries.DIAPO.0697
246 reference(s)		 114-EnsembleDesGaleries.DIAPO.0266
246 reference(s)
115-Galerie_NewPictures.DIAPO.0031
245 reference(s)		 116-Galerie_ArtisticCreation.DIAPO.0058
245 reference(s)
117-Galerie_ArtisticCreation.DIAPO.0057
245 reference(s)		 118-Galerie_ArtisticCreation.DIAPO.0039
245 reference(s)
119-Galerie_ArtisticCreation.DIAPO.0027
245 reference(s)		 120-EnsembleDesGaleries.DIAPO.0701
245 reference(s)
121-EnsembleDesGaleries.DIAPO.0210
245 reference(s)		 122-EnsembleDesGaleries.DIAPO.0015
245 reference(s)
123-EnsembleDesGaleries.DIAPO.0008
245 reference(s)		 124-An2000.06.Fra
245 reference(s)
125-ImagesDuVirtuel.01.Fra.FV
244 reference(s)		 126-Galerie_ArtisticCreation.DIAPO.0047
244 reference(s)
127-Galerie_ArtisticCreation.DIAPO.0044
244 reference(s)		 128-An2000.02.Fra
244 reference(s)

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




Copyright (c) Jean-François Colonna, 2010-2019.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2010-2019.