Monthly Best Of on 06/28/2011




A tridimensional interpolation between a fractal structure and a cubic mesh

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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Contents of this page:


1-The 128 most referenced Pictures:



Tridimensional representation of a quadridimensional Calabi-Yau manifold
1-212 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
2-154 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
3-144 reference(s)
Autostereogram with an hidden volcano
4-128 reference(s)
Autostereogram with an hidden volcano
5-113 reference(s)
True colors autostereogram of a fractal landscape
6-113 reference(s)
Autostereogram with an hidden volcano
7-110 reference(s)
Mountains at sunrise
8-100 reference(s)
Zoom in on the von Koch curve
9-89 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
10-87 reference(s)
The random walk of photons escaping the Sun
11-83 reference(s)
Autostereogram of Monument Valley
12-81 reference(s)
The Lorenz attractor
13-69 reference(s)
Hypercube
14-68 reference(s)
Quark and gluon structure of a nucleon
15-67 reference(s)
Autostereogram with an hidden volcano
16-58 reference(s)
The random walk of photons escaping the Sun
17-58 reference(s)
Quantum vacuum fluctuations
18-57 reference(s)
Texture animation by means of the generalized Fourier filtering process
19-55 reference(s)
Artistic view of the prime numbers
20-53 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
21-51 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
22-47 reference(s)
Intertwining
23-42 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0) (bird's-eye view)
24-41 reference(s)
Universe or Multiverse -The fractal Universe-?
25-41 reference(s)
The random walk of photons escaping the Sun
26-40 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
27-39 reference(s)
The Birth of the Universe
28-38 reference(s)
Paradoxal structure -from Order to Disorder-
29-37 reference(s)
An arbitrary surface (Jeener surface 2)in motion
30-37 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
31-37 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
32-36 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
33-35 reference(s)
Autostereogram with an hidden volcano
34-34 reference(s)
Intertwining
35-33 reference(s)
A shell (Jeener surface 1)in motion
36-33 reference(s)
Integration of 128 tridimensional cross-sections of a quaternionic Julia set computed along its fourth axis
37-32 reference(s)
From the infinitely small to the infinitely big
38-31 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
39-31 reference(s)
From Pluto to the Sun (non linear scales)
40-30 reference(s)
The Möbius strip
41-30 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
42-30 reference(s)
The random walk of photons escaping the Sun
43-29 reference(s)
Along the border of the Mandelbrot set
44-28 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
45-28 reference(s)
Autostereogram with an hidden ring and ghost bows
46-28 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
47-28 reference(s)
Paradoxal structure
48-25 reference(s)
The generalized Ulam spiral displaying 100 numbers
49-25 reference(s)
32 points on a trigonometric circle
50-25 reference(s)
Electron-positron scattering
51-25 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
52-25 reference(s)
Along the border of the Mandelbrot set
53-24 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)
54-24 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
55-24 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
56-24 reference(s)
The Jeener's triple Klein bottle
57-24 reference(s)
Artistic view of the Big Bang
58-23 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
59-23 reference(s)
Paradoxal Monument Valley at sunset
60-23 reference(s)
Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
61-22 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
62-22 reference(s)
Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
63-22 reference(s)
A fractal surface (eight iterations)defined by means of three bidimensional fields
64-22 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
65-22 reference(s)
Animation of a sunrise on mountains
66-22 reference(s)
Paradoxal black hole
67-21 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
68-21 reference(s)
A foggy 'MandelBox' -tridimensional cross-section-
69-21 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
70-20 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
71-19 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
72-19 reference(s)
Botticelli anomaly on the Moon
73-19 reference(s)
The 4 vertices of a 2-cube
74-19 reference(s)
The 2 vertices of a 1-cube
75-19 reference(s)
Jean-François Colonna
76-19 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
77-19 reference(s)
Beautiful self-similarity
78-18 reference(s)
Paradoxal structure in the sky
79-18 reference(s)
Recursive intertwining
80-18 reference(s)
Autostereogram with an hidden volcano
81-18 reference(s)
Different modes of representation of a tridimensional cross-section of a Quaternionic Julia set
82-18 reference(s)
The 8 vertices of a 3-cube
83-18 reference(s)
Triple impossible staircase built by means of a paradoxal structure -a tribute to M.C. Escher-
84-18 reference(s)
Double impossible staircase painting a paradoxal structure
85-18 reference(s)
A shell (Jeener surface 1)
86-18 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
87-17 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
88-17 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
89-16 reference(s)
Fractal natural form
90-16 reference(s)
The normal field of a fractal surface defined by means of three bidimensional fields
91-16 reference(s)
Quark and gluon structure of a nucleon
92-16 reference(s)
The 16 vertices of a 4-cube
93-16 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
94-16 reference(s)
Autostereogram -using periodical light clouds as desguise texture- with a hidden gaussian mountain
95-16 reference(s)
Bidimensional clouds or height field
96-16 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
97-15 reference(s)
Vibrations 0003
98-15 reference(s)
16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
99-15 reference(s)
Paradoxal structure
100-15 reference(s)
Intertwining
101-15 reference(s)
Autostereogram with an hidden volcano
102-15 reference(s)
Animation of bidimensional textures by means of the self-transformation of a fractal process
103-15 reference(s)
From Pluto to the Sun -extrapolation 2- (non linear scales)
104-15 reference(s)
An arbitrary surface (Jeener surface 2)in motion
105-15 reference(s)
An arbitrary surface (Jeener surface 2)
106-15 reference(s)
The 32 vertices of a 5-cube
107-15 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
108-15 reference(s)
Vibrations 0002
109-14 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
110-14 reference(s)
Alien
111-14 reference(s)
From Pluto to the Sun
112-14 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
113-14 reference(s)
Tridimensional visualization of the Verhulst dynamics
114-14 reference(s)
The Lorenz attractor in motion
115-14 reference(s)
Happy new year 2000
116-14 reference(s)
Double autostereogram -using a periodical paradoxal structure and periodical light clouds as desguise textures- with two hidden gaussian mountains
117-14 reference(s)
Vibrations 0001
118-13 reference(s)
16 complex Julia sets along the border of the Mandelbrot set with display of the arguments
119-13 reference(s)
No Title 0103
120-13 reference(s)
A pay slip
121-13 reference(s)
A Lissajous surface in motion
122-13 reference(s)
A 'spiraling plane' defined by means of three bidimensional fields with depth of field effect
123-13 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
124-13 reference(s)
N-dimensional random structure
125-13 reference(s)
The Solar System with a dark blue virtual planet -virtual planet point of view-
126-13 reference(s)
An arbitrary surface (Jeener surface 2)in motion
127-13 reference(s)
Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
128-13 reference(s)




2-The 128 most referenced Pages:



1-demo_14
1147 reference(s)
2-AVirtualSpaceTimeTravelMachine.Ang
528 reference(s)
3-NDimensionalDeterministicFractalSets.01.Ang
498 reference(s)
4-An2000.01.Fra
440 reference(s)
5-help.
402 reference(s)
6-Galerie_DeterministicFractalGeometry.FV
379 reference(s)
7-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
373 reference(s)
8-Vcatalogue.11
363 reference(s)
9-SurfaceProjector.01.Ang
357 reference(s)
10-SurfaceProjector.01.Fra
342 reference(s)
11-Galerie_NewPictures.FV
336 reference(s)
12-Galerie_ArtisticCreation.FV
335 reference(s)
13-NatureDesMathematiques.01.vv.Fra
327 reference(s)
14-Fractal.01
323 reference(s)
15-Galerie_GeneralitiesVisualization.FV
311 reference(s)
16-MathematiquesPhysiqueFractales.02
306 reference(s)
17-ImagesDuVirtuel.01.Fra.FV
306 reference(s)
18-AVirtualSpaceTimeTravelMachine.Fra
304 reference(s)
19-NDimensionalDeterministicFractalSets.01.Fra
300 reference(s)
20-GenieLogiciel_VisualisationScientifique.01.vv
300 reference(s)
21-FloatingPointNumbers.01.Fra
293 reference(s)
22-ExpV_VirE.11
289 reference(s)
23-FaireDeLaRecherche.01.vv
284 reference(s)
24-Autostereograms.01.
283 reference(s)
25-Stereogrammes_AutoStereogrammes.01
281 reference(s)
26-MonodimensionalCellularAutomata.01.Fra
279 reference(s)
27-Galerie_ParticleSystems.FV
278 reference(s)
28-ImpossibleStructures.01.Ang
276 reference(s)
29-Galerie_ArtAndScience.FV
272 reference(s)
30-Galerie_DeterministicChaos.FV
268 reference(s)
31-EntrelacsIntertwinings.01.Ang
268 reference(s)
32-FloatingPointNumbers.01.Ang
267 reference(s)
33-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
264 reference(s)
34-Galerie_QuantumMechanics.FV
264 reference(s)
35-IllusionConnaissance.02
263 reference(s)
36-Galerie_TextureSynthesis.FV
263 reference(s)
37-AProposSite.01.Fra
263 reference(s)
38-catalogue.11
262 reference(s)
39-AnimFractal.01.
260 reference(s)
40-GenieLogiciel.01.Fra
257 reference(s)
41-mail.01.vv
256 reference(s)
42-infinity.02.vv
256 reference(s)
43-EnsembleDesGaleriesFractales.DIAPO.0001
256 reference(s)
44-infinity.01.vv
254 reference(s)
45-DieuScience.01.Fra
253 reference(s)
46-ImagesDuVirtuel.01.Fra
252 reference(s)
47-MonodimensionalCellularAutomata.01.Ang
251 reference(s)
48-Informations_AboutPicturesAnimationsAndFiles.01.Ang
251 reference(s)
49-MathematiquesModeleOutilArtiste.02.Ang
250 reference(s)
50-Galerie_FluidMechanics.FV
249 reference(s)
51-EntrelacsIntertwinings.01.Fra
249 reference(s)
52-RealNumbers.01.Fra
248 reference(s)
53-Galerie_Astrophysics.FV
247 reference(s)
54-copyright.01.
244 reference(s)
55-PatrimoineHumanite.02.Fra
243 reference(s)
56-Galerie_BestOf.FV
240 reference(s)
57-EnsembleDesGaleries.DIAPO.0001
240 reference(s)
58-Commentaires_NKleinBottle.01
240 reference(s)
59-PerteDeLAssociativite.01
239 reference(s)
60-MathematiquesPhysiqueFractales.01
239 reference(s)
61-Galerie_NumberTheory.FV
239 reference(s)
62-ManyChaos.01.Ang
238 reference(s)
63-Galerie_SalonDAutomne.FV
238 reference(s)
64-Galerie_SignalProcessing.FV
237 reference(s)
65-Galerie_SensitivityToRoundingOffErrors.FV
236 reference(s)
66-AQuoiServentLesMathematiques.01
235 reference(s)
67-Galerie_CelestialMechanics.FV
233 reference(s)
68-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
233 reference(s)
69-OrdinateurMathematiquesArt.01.Fra
228 reference(s)
70-Galerie_CollaborativeWorks..FV
228 reference(s)
71-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0385
227 reference(s)
72-AQuoiServentLesMathematiques.03
227 reference(s)
73-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0386
226 reference(s)
74-LOG_xiMc.11
226 reference(s)
75-ImpossibleStructures.01.Fra
226 reference(s)
76-Galerie_GeneralitiesVisualization.DIAPO.0084
226 reference(s)
77-OrdinateursEtCalculs.01.Fra
225 reference(s)
78-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0388
225 reference(s)
79-Informations_AboutPicturesAnimationsAndFiles.01.Fra
225 reference(s)
80-ExpV_VirE.21
225 reference(s)
81-VisitesGaleriesEnfouies.01.Fra
224 reference(s)
82-ArtScience.11.Fra
224 reference(s)
83-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0387
222 reference(s)
84-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0384
222 reference(s)
85-Kepler.02.
222 reference(s)
86-HommageBenoitMandelbrot.21
222 reference(s)
87-Galerie_GeneralitiesVisualization.DIAPO.0085
222 reference(s)
88-Commentaires_DefinitionComplexes.01
222 reference(s)
89-AvantPropos.01.Ang
222 reference(s)
90-MonumentValley.01.Ang
221 reference(s)
91-present.01.
220 reference(s)
92-RemarquesCerveau.01
220 reference(s)
93-QuelquesQuestionsSurLaRecherche.01.Fra
220 reference(s)
94-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0383
220 reference(s)
95-EntrelacsIntertwinings.01.Ang.DIAPO.0472
220 reference(s)
96-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0381
219 reference(s)
97-EntrelacsIntertwinings.01.Ang.DIAPO.0473
219 reference(s)
98-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
219 reference(s)
99-Commentaires_DefinitionQuaternions.01
219 reference(s)
100-subject.01.
218 reference(s)
101-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0379
218 reference(s)
102-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0378
218 reference(s)
103-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
218 reference(s)
104-ExpV_VirE.01.Fra
218 reference(s)
105-EntrelacsIntertwinings.01.Ang.DIAPO.0474
218 reference(s)
106-OrdinateursEtCalculs.01.Ang
217 reference(s)
107-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0377
217 reference(s)
108-Fractal.02
217 reference(s)
109-Commentaires_NKleinBottle.02
217 reference(s)
110-Commentaires_DefinitionTransformeeDeFourier.01
217 reference(s)
111-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0380
216 reference(s)
112-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0376
216 reference(s)
113-MathematiquesEtCinematographe.01.vv
216 reference(s)
114-Commentaires_ProblemeDesNAimants.01
216 reference(s)
115-VirtualChaos.01.Fra
215 reference(s)
116-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0382
215 reference(s)
117-Galerie_ArtisticCreation.DIAPO.0184
215 reference(s)
118-AvantPropos.01.Fra
215 reference(s)
119-An2000.02.Fra
215 reference(s)
120-Galerie_ArtisticCreation.DIAPO.0187
214 reference(s)
121-ExpV_VirE.Fra
214 reference(s)
122-EntrelacsIntertwinings.01.Ang.DIAPO.0475
214 reference(s)
123-infinity.02.vv.DIAPO.0001
212 reference(s)
124-Galerie_ArtisticCreation.DIAPO.0182
212 reference(s)
125-DuReelAuVirtuel.01.Fra
212 reference(s)
126-MathematiquesModeleOutilArtiste.01.Fra
211 reference(s)
127-ManyChaos.01.Fra
211 reference(s)
128-Galeries.01.vv
211 reference(s)

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




Copyright (c) Jean-François Colonna, 2011-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2011-2018.