Monthly Best Of on 11/26/2003




Fractal landscape interpolation with fog

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
france telecom, France Telecom R&D

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(CMAP28 WWW site: this page was created on 11/26/2003 and last updated on 11/14/2023 17:46:40 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Welcome aboard A VIRTUAL SPACE-TIME TRAVEL MACHINE
1-1341 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-993 reference(s)		 The Lorenz attractor
3-815 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
4-740 reference(s)
Artistic view of the prime numbers
5-703 reference(s)		 From Pluto to the Sun (non linear scales)
6-622 reference(s)		 Quark and gluon structure of a nucleon
7-526 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
8-460 reference(s)
Jean-François COLONNA
9-440 reference(s)		 The Birth of the Universe
10-396 reference(s)		 Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
11-393 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
12-387 reference(s)
Electron-positron scattering
13-384 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)
14-381 reference(s)		 Triple impossible staircase
15-364 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
16-361 reference(s)
Artistic view of the Big Bang
17-355 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
18-353 reference(s)		 Mountains and light cloud dynamics -this sequence being periodical-
19-352 reference(s)		 Bidimensional geometrical texture animation
20-351 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
21-338 reference(s)		 Quark and gluon dynamics of the nucleon
22-330 reference(s)		 Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
23-314 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
24-307 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
25-304 reference(s)		 Mountains at sunrise
26-303 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
27-297 reference(s)		 Tridimensional zoom in on the Mandelbrot set
28-285 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
29-285 reference(s)		 Bidimensional geometrical texture animation
30-283 reference(s)		 Synthesis of tridimensional symmetrical geometrical textures
31-275 reference(s)		 The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
32-275 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
33-274 reference(s)		 Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
34-272 reference(s)		 Psychedelic hypercube
35-270 reference(s)		 Synthesis of bidimensional geometrical textures
36-266 reference(s)
Cauliflowers, seaweeds, shells,... with fog
37-263 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
38-262 reference(s)		 Electron diffraction
39-255 reference(s)		 Quaternionic UFO
40-251 reference(s)
Botticelli anomaly on the Moon
41-249 reference(s)		 The erection of the Babel Tower
42-246 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
43-244 reference(s)		 Mountains with slight linear structures (bird's-eye view)
44-242 reference(s)
Autostereogram with an hidden volcano
45-237 reference(s)		 Animation of a sunrise on mountains
46-233 reference(s)		 Hypercube
47-233 reference(s)		 Synthesis of bidimensional geometrical textures
48-232 reference(s)
Electron-neutrino scattering
49-230 reference(s)		 Rotation about the X axis of the Lorenz attractor
50-229 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
51-229 reference(s)		 An Archimedes spiral displaying 1000 numbers
52-228 reference(s)
Autostereogram with an hidden volcano
53-227 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)
54-220 reference(s)		 Artistic view of Monument Valley
55-219 reference(s)		 The three pendulums and three magnets problem computed on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
56-213 reference(s)
Starship and black hole
57-213 reference(s)		 Synthesis of bi and tridimensional geometrical textures
58-212 reference(s)		 The Eratosthene sieve displaying 100x100 numbers
59-211 reference(s)		 Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
60-205 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (tridimensional computation)
61-205 reference(s)		 Zollner optical illusion
62-204 reference(s)		 Synthesis of bidimensional geometrical textures
63-203 reference(s)		 The random walk of photons escaping the Sun
64-203 reference(s)
The generalized Ulam spiral displaying 100 numbers
65-202 reference(s)		 Earthquake with multifractal mountains
66-202 reference(s)		 Archimedes spirals
67-201 reference(s)		 The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
68-200 reference(s)
The iterative process used to generate fractal mountains (16 iterations)
69-194 reference(s)		 Tridimensional fractal structure
70-193 reference(s)		 Along the border of the Mandelbrot set
71-191 reference(s)		 Autostereogram with an hidden ring and ghost bows
72-188 reference(s)
N-body problem integration (N=4)with one yellow star and two planets (the red one being very heavy and the blue one and its white satellite being light)
73-187 reference(s)		 Texture animation by means of the generalized Fourier filtering process
74-187 reference(s)		 Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
75-183 reference(s)		 Mountains with large linear structures and discontinuities (bird's-eye view)
76-178 reference(s)
The velocity vectors -with a common origin- of the 9 planets of the Solar System during one plutonian year
77-178 reference(s)		 Artistic view of the Hydrogen atom
78-178 reference(s)		 Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
79-177 reference(s)		 The generalized Ulam spiral displaying 1024 numbers
80-177 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
81-176 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
82-176 reference(s)		 Synthesis of bidimensional geometrical textures
83-176 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
84-173 reference(s)
The Klein bottle
85-173 reference(s)		 Untitled 0038
86-172 reference(s)		 Artistic view of 128 quaternionic Julia sets -tridimensional cross-sections-
87-172 reference(s)		 The first two iterations of the construction of the von Koch curve
88-171 reference(s)
Tridimensional zoom in on the Mandelbrot set
89-171 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
90-170 reference(s)		 N-body problem integration (N=2)displaying a perfect Keplerian orbit
91-167 reference(s)		 Alien
92-166 reference(s)
Mountains with an unnatural star-like structure (bird's-eye view)
93-163 reference(s)		 Bidimensional geometrical texture animation
94-161 reference(s)		 Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
95-161 reference(s)		 Light clouds
96-159 reference(s)
Zoom in on mountains (with 3D clipping, bird's-eye view)
97-159 reference(s)		 Rotation about the Y (vertical)axis of a tridimensional fractal aggregate that can also be viewed as a set of 4x3 pseudo-stereograms
98-158 reference(s)		 Quantum vacuum fluctuation dynamics
99-155 reference(s)		 Morning sun pool
100-155 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
101-154 reference(s)		 The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
102-154 reference(s)		 More and more craters on the Moon
103-152 reference(s)		 Lorenz butterfly
104-152 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
105-151 reference(s)		 N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
106-150 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
107-149 reference(s)		 Monument Valley at sunrise
108-147 reference(s)
The eye of God -an artistic view of the Solar System-
109-147 reference(s)		 Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
110-147 reference(s)		 Zoom in on light clouds
111-145 reference(s)		 Animation of a natural form
112-144 reference(s)
Happy birthday
113-143 reference(s)		 Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
114-143 reference(s)		 Brownian motion of a few heavy slow particles inside a gaz of fast light particles
115-142 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
116-141 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
117-140 reference(s)		 Linear landscape interpolation
118-140 reference(s)		 The Gate
119-140 reference(s)		 La Génèse (1974)
120-138 reference(s)
A tridimensional periodical fluid with display of velocity histograms
121-135 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
122-135 reference(s)		 The same bidimensional scalar field displayed with 4 different color palettes
123-135 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
124-135 reference(s)
The Eratosthene sieve displaying 10x10 numbers
125-134 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
126-134 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
127-134 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation, our Earth being at the origin of the coordinates
128-132 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
6315 reference(s)		 2-AVirtualSpaceTimeTravelMachine.Ang
1914 reference(s)
3-An2000.01.Fra
1369 reference(s)		 4-Vcatalogue.11
1307 reference(s)
5-Galerie_ArtisticCreation.FV
1082 reference(s)		 6-help.
1004 reference(s)
7-AVirtualSpaceTimeTravelMachine.Fra
643 reference(s)		 8-Galeries.01.vv
479 reference(s)
9-Stereogrammes_AutoStereogrammes.01
474 reference(s)		 10-mail.01.vv
456 reference(s)
11-present.01.
454 reference(s)		 12-Galerie_BestOf.FV
452 reference(s)
13-copyright.01.
440 reference(s)		 14-Galerie_DeterministicFractalGeometry.FV
421 reference(s)
15-AVirtualSpaceTimeTravelMachine.Ang.FV
417 reference(s)		 16-ImagesDuVirtuel.01.Fra
377 reference(s)
17-Commentaires_SystemeSolaire.01
377 reference(s)		 18-Fractal.01
372 reference(s)
19-Galerie_DeterministicChaos
368 reference(s)		 20-Commentaires_DefinitionTransformeeDeFourier.01
365 reference(s)
21-demo_14.FV
360 reference(s)		 22-Galerie_QuantumMechanics.FV
356 reference(s)
23-BEST.20000905
354 reference(s)		 24-Galerie_CelestialMechanics
351 reference(s)
25-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
346 reference(s)		 26-AVirtualSpaceTimeTravelMachine.Fra.FV
345 reference(s)
27-Galerie_CelestialMechanics.FV
339 reference(s)		 28-Galerie_NewPictures.FV
327 reference(s)
29-Galerie_GeneralitiesVisualization.FV
321 reference(s)		 30-ImagesDuVirtuel.01.Fra.FV
307 reference(s)
31-AvantPropos.01.Ang
300 reference(s)		 32-Galerie_DeterministicChaos.FV
297 reference(s)
33-Galerie_NumberTheory.FV
292 reference(s)		 34-Informations_AboutPicturesAnimationsAndFiles.01.Ang
289 reference(s)
35-GenieLogiciel.01.Fra
289 reference(s)		 36-Galerie_ParticleSystems.FV
289 reference(s)
37-Galerie_QuantumMechanics
281 reference(s)		 38-ExpV_VirE.11
281 reference(s)
39-ExpV_VirE.Fra
279 reference(s)		 40-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
278 reference(s)
41-hydrogene.61.K.
275 reference(s)		 42-AProposSite.01.Fra
275 reference(s)
43-Commentaires_DefinitionComplexes.01
266 reference(s)		 44-Galerie_TextureSynthesis.FV
264 reference(s)
45-Galerie_FluidMechanics.FV
261 reference(s)		 46-AQuoiServentLesMathematiques.01
254 reference(s)
47-Galerie_Astrophysics.FV
250 reference(s)		 48-Galerie_DeterministicFractalGeometry
238 reference(s)
49-ExpV_VirE.Ang
237 reference(s)		 50-RealNumbers.01.Fra
227 reference(s)
51-ArtScience.01
223 reference(s)		 52-BEST.20010925
220 reference(s)
53-VirtualChaos.01.Fra
217 reference(s)		 54-An2000.05.Fra
217 reference(s)
55-subject.01.
214 reference(s)		 56-Galerie_SensitivityToRoundingOffErrors.FV
213 reference(s)
57-Autostereograms.01.
210 reference(s)		 58-RemarquesCerveau.01
209 reference(s)
59-Galerie_ArtAndScience.FV
206 reference(s)		 60-Galerie_SignalProcessing.FV
205 reference(s)
61-BEST.20030822
203 reference(s)		 62-Galerie_ParticleSystems
201 reference(s)
63-AnimFractal.01.
201 reference(s)		 64-Commentaires_ProblemeDesNCorps.01
200 reference(s)
65-Galerie_NewPictures.DIAPO.0001
197 reference(s)		 66-BEST.20020828
197 reference(s)
67-Commentaires_DefinitionQuaternions.01
192 reference(s)		 68-BEST.20030327
192 reference(s)
69-Commentaires_ModeleIsingBiDimensionnel.01
191 reference(s)		 70-create.03.
190 reference(s)
71-Informations_GoodNewsAndBadNews.01.Ang
189 reference(s)		 72-Commentaires_KleinBottle.01
188 reference(s)
73-BEST.20000323
187 reference(s)		 74-VisitesGaleriesEnfouies.01.Ang
184 reference(s)
75-Commentaires_EnsembleMandelbrotComplexe.01
184 reference(s)		 76-Galerie_TextureSynthesis
181 reference(s)
77-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
179 reference(s)		 78-An2000.11.Fra
179 reference(s)
79-Kepler.02.
178 reference(s)		 80-JFC
177 reference(s)
81-An2000.02.Fra
177 reference(s)		 82-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
176 reference(s)
83-BEST.20030604
174 reference(s)		 84-Galerie_GeneralitiesVisualization
173 reference(s)
85-Ariane501.01.Fra
168 reference(s)		 86-Galerie_NewPictures
165 reference(s)
87-Galerie_QuantumMechanics.DIAPO.0001
163 reference(s)		 88-ExpV_VirE.01.Fra
163 reference(s)
89-Commentaires_ModeleIsingTriDimensionnel.01
162 reference(s)		 90-Galerie_SalonDAutomne.FV
161 reference(s)
91-Galerie_ArtisticCreation
161 reference(s)		 92-Commentaires_EspaceLyapunovComplexe.01
161 reference(s)
93-Galerie_DeterministicFractalGeometry.DIAPO.0001
159 reference(s)		 94-VisSci_SciVis.01
157 reference(s)
95-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
157 reference(s)		 96-MonumentValley.01.Ang
155 reference(s)
97-stereogra.01.c.
154 reference(s)		 98-Galerie_ArtisticCreation.DIAPO.0001
154 reference(s)
99-BEST.20000403
153 reference(s)		 100-Galerie_DeterministicChaos.DIAPO.0001
152 reference(s)
101-Galerie_ArtAndScience.DIAPO.0001
152 reference(s)		 102-Commentaires_RacinesTroisiemesUniteComplexes.01
151 reference(s)
103-ArtOrdinateur.01
151 reference(s)		 104-Commentaires_ProblemeDesNAimants.01
150 reference(s)
105-VisitesGaleriesEnfouies.01.Fra
149 reference(s)		 106-Galerie_SalonDAutomne
149 reference(s)
107-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0001
148 reference(s)		 108-Commentaires_NKleinBottle.01
148 reference(s)
109-Galerie_FluidMechanics.DIAPO.0001
147 reference(s)		 110-Galerie_Astrophysics.DIAPO.0001
147 reference(s)
111-DuReelAuVirtuel.01.Fra
147 reference(s)		 112-An2000.01.Ang
147 reference(s)
113-Galerie_NumberTheory
145 reference(s)		 114-catalogue.11
143 reference(s)
115-Galerie_CelestialMechanics.DIAPO.0001
142 reference(s)		 116-Commentaires_EnsembleMandelbrotQuaternion.01
142 reference(s)
117-LOG_xiMc.11
138 reference(s)		 118-ImpossibleStructures.01.Ang
138 reference(s)
119-Galerie_NewPictures.DIAPO.0002
138 reference(s)		 120-Galerie_FluidMechanics
138 reference(s)
121-Galerie_ArtAndScience
137 reference(s)		 122-An2000.04.Fra
136 reference(s)
123-Galerie_TextureSynthesis.DIAPO.0001
135 reference(s)		 124-Galerie_ParticleSystems.DIAPO.0001
135 reference(s)
125-Galerie_GeneralitiesVisualization.DIAPO.0001
133 reference(s)		 126-Galerie_NumberTheory.DIAPO.0001
132 reference(s)
127-MinistreEducationNationale.01.Fra
131 reference(s)		 128-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
131 reference(s)

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




Copyright © Jean-François COLONNA, 2003-2023.
Copyright © France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2003-2023.