Monthly Best Of on 07/28/2009




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:



Happy new year 2000
1-524 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-458 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-294 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
4-225 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
5-142 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
6-125 reference(s)
Autostereogram with an hidden volcano
7-121 reference(s)
The Lorenz attractor
8-119 reference(s)
Quark and gluon structure of a nucleon
9-103 reference(s)
Quark and gluon structure of a nucleon
10-97 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
11-94 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)
12-89 reference(s)
The random walk of photons escaping the Sun
13-88 reference(s)
Particles in a bidimensional box submitted to an attractive central field of gravity
14-87 reference(s)
Paradoxal Monument Valley at sunset
15-86 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
16-83 reference(s)
Artistic view of the prime numbers
17-80 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0) (bird's-eye view)
18-79 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
19-75 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
20-75 reference(s)
Autostereogram with an hidden ring and ghost bows
21-74 reference(s)
An interpolation between a cylinder and a torus
22-73 reference(s)
Hypercube
23-70 reference(s)
Autostereogram with an hidden volcano
24-69 reference(s)
Mountains at sunrise
25-66 reference(s)
An interpolation between four interlaced torus and the quadruple Jeener bottle defined by means of three sets of bidimensional fields
26-64 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
27-61 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
28-61 reference(s)
The peeling of a quaternionic Julia set -tridimensional cross-sections-
29-60 reference(s)
Autostereogram with an hidden volcano
30-59 reference(s)
A recursive intertwining animation
31-58 reference(s)
Some quaternionic Julia sets computed in the neighbourhood of A=(-0.58...,+0.63...,0,0)-tridimensional cross-sections-
32-58 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
33-57 reference(s)
Intertwining
34-55 reference(s)
Electron-positron scattering
35-54 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
36-53 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
37-51 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
38-51 reference(s)
Animation of a sunrise on mountains
39-49 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
40-48 reference(s)
From the infinitely small to the infinitely big
41-48 reference(s)
Texture animation by means of Fourier interpolation
42-47 reference(s)
Linear landscape interpolation with fog
43-46 reference(s)
From Pluto to the Sun (non linear scales)
44-46 reference(s)
Along the border of the Mandelbrot set
45-45 reference(s)
The set of bidimensional fields defining the 'X' coordinate of an interpolation between the Bonan-Jeener's triple Klein bottle and a 'double sphere'
46-45 reference(s)
The Scream -a Tribute to Edvard Munch-
47-45 reference(s)
Artistic view of the Big Bang
48-44 reference(s)
An interpolation between two fractal intertwinings
49-44 reference(s)
Jean-François Colonna
50-44 reference(s)
The quadruple Jeener bottle
51-44 reference(s)
Electron diffraction
52-43 reference(s)
An interpolation between two fractal networks
53-42 reference(s)
Autostereogram with an hidden volcano and an animated disguise texture
54-42 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
55-42 reference(s)
Autostereogram with an hidden volcano
56-42 reference(s)
An interpolation between two intertwinings
57-41 reference(s)
Botticelli anomaly on the Moon
58-41 reference(s)
Tridimensional zoom in on the Mandelbrot set
59-41 reference(s)
The Birth of the Universe
60-41 reference(s)
An interpolation between two intertwinings
61-40 reference(s)
Cauliflowers, seaweeds, shells,... with fog
62-40 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
63-40 reference(s)
An interpolation between two intertwinings
64-39 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
65-39 reference(s)
Quark and gluon dynamics of the nucleon
66-39 reference(s)
The set of bidimensional fields defining the three coordinates of an interpolation between a cylinder and a torus
67-39 reference(s)
The random walk of photons escaping the Sun
68-38 reference(s)
The random walk of photons escaping the Sun
69-38 reference(s)
An interpolation between two sets of interlaced torus -four and sixteen respectively- defined by means of three sets of bidimensional fields
70-38 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
71-37 reference(s)
Sixty-four interlaced torus
72-37 reference(s)
Sixteen interlaced torus
73-37 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
74-36 reference(s)
Autostereogram with an hidden volcano
75-36 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
76-36 reference(s)
From Pluto to the Sun -extrapolation 2- (non linear scales)
77-36 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
78-35 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
79-35 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
80-35 reference(s)
A Lissajous surface
81-34 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
82-34 reference(s)
The Jeener's triple Klein bottle
83-34 reference(s)
A dynamics of four interlaced torus defined by means of three sets of bidimensional fields
84-33 reference(s)
The Lorenz attractor
85-33 reference(s)
Texture animation by means of Fourier interpolation
86-33 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
87-33 reference(s)
An interpolation between the quadruple Jeener bottle and the octuple Jeener bottle defined by means of three bidimensional fields
88-32 reference(s)
The generalized Ulam spiral displaying 100 numbers
89-32 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
90-32 reference(s)
Black dots (inside random white squares)on a square lattice
91-32 reference(s)
Interpolation between the Jeener's quintuple Klein bottle and the Bonan-Jeener's triple Klein bottle
92-32 reference(s)
Along the border of the Mandelbrot set
93-31 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
94-31 reference(s)
Color display of a tridimensional function
95-31 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
96-31 reference(s)
A shell (Jeener surface 1)in motion
97-31 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
98-30 reference(s)
Quantum vacuum fluctuations
99-29 reference(s)
The set of bidimensional fields defining the 'Y' coordinate of an interpolation between the Bonan-Jeener's triple Klein bottle and a 'double sphere'
100-29 reference(s)
Autostereogram with an hidden volcano
101-28 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
102-28 reference(s)
A dynamics of four interlaced torus defined by means of three sets of bidimensional fields
103-28 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)-sensitivity to initial conditions-
104-28 reference(s)
Alien
105-27 reference(s)
An interpolation between sixteen interlaced torus and the quadruple Jeener bottle defined by means of three sets of bidimensional fields
106-27 reference(s)
Rotation about the Y (vertical)axis of sixteen interlaced torus that can also be viewed as a set of 4x3 stereograms
107-27 reference(s)
The normal field of a fractal surface defined by means of three bidimensional fields
108-27 reference(s)
Erosion in Monument Valley with fog
109-27 reference(s)
Simulation of 'from Pluto to the Sun' with pure uniform circular motions (linear scales)
110-27 reference(s)
Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
111-27 reference(s)
Intertwining based on the geometry of the sphere
112-27 reference(s)
Double impossible staircase
113-26 reference(s)
Artistic view of a quadridimensional Calabi-Yau manifold
114-26 reference(s)
An interpolation between two intertwinings
115-25 reference(s)
Four interlaced torus
116-25 reference(s)
Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
117-25 reference(s)
Tridimensional fractal structure
118-25 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
119-25 reference(s)
An Archimedes spiral displaying 100 numbers
120-24 reference(s)
From Pluto to the Sun -extrapolation 1- (non linear scales)
121-24 reference(s)
A quaternionic Julia set -tridimensional cross-section-
122-24 reference(s)
2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
123-24 reference(s)
Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
124-24 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+20.0)x(-15.0,+15.0)
125-23 reference(s)
A Tribute to Archimedes
126-23 reference(s)
No Title 0031
127-23 reference(s)
Snowy multifractal mountains
128-23 reference(s)




2-The 128 most referenced Pages:



1-demo_14
1040 reference(s)
2-AVirtualSpaceTimeTravelMachine.Ang
596 reference(s)
3-An2000.01.Fra
405 reference(s)
4-FloatingPointNumbers.01.Fra
310 reference(s)
5-help.
293 reference(s)
6-Galerie_GeneralitiesVisualization.FV
272 reference(s)
7-GenieLogiciel_VisualisationScientifique.01.vv
263 reference(s)
8-SurfaceProjector.01.Ang
254 reference(s)
9-FloatingPointNumbers.01.Ang
253 reference(s)
10-Autostereograms.01.
249 reference(s)
11-mail.01.vv
248 reference(s)
12-AProposSite.01.Fra
246 reference(s)
13-catalogue.11
244 reference(s)
14-Fractal.01
240 reference(s)
15-Informations_AboutPicturesAnimationsAndFiles.01.Ang
236 reference(s)
16-Galerie_ArtisticCreation.FV
236 reference(s)
17-ImagesDuVirtuel.01.Fra
234 reference(s)
18-Galerie_TextureSynthesis.FV
234 reference(s)
19-copyright.01.
229 reference(s)
20-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
224 reference(s)
21-Stereogrammes_AutoStereogrammes.01
222 reference(s)
22-Galerie_NumberTheory.FV
222 reference(s)
23-AQuoiServentLesMathematiques.01
221 reference(s)
24-AVirtualSpaceTimeTravelMachine.Fra
217 reference(s)
25-Galerie_DeterministicFractalGeometry.FV
215 reference(s)
26-EntrelacsIntertwinings.01.Fra
213 reference(s)
27-EntrelacsIntertwinings.01.Ang
213 reference(s)
28-Vcatalogue.11
210 reference(s)
29-present.01.
208 reference(s)
30-AnimFractal.01.
206 reference(s)
31-An2000.05.Fra
206 reference(s)
32-Galerie_ParticleSystems.FV
205 reference(s)
33-ExpV_VirE.11
203 reference(s)
34-SurfaceProjector.01.Fra
202 reference(s)
35-Galerie_NewPictures.FV
202 reference(s)
36-Commentaires_NKleinBottle.01
202 reference(s)
37-GenieLogiciel.01.Fra
201 reference(s)
38-Galerie_DeterministicChaos.FV
201 reference(s)
39-Galerie_CelestialMechanics.FV
199 reference(s)
40-Galeries.01.vv
198 reference(s)
41-Galerie_ArtAndScience.FV
195 reference(s)
42-RealNumbers.01.Fra
193 reference(s)
43-AVirtualSpaceTimeTravelMachine.Fra.FV
192 reference(s)
44-Informations_AboutPicturesAnimationsAndFiles.01.Fra
188 reference(s)
45-AQuoiServentLesMathematiques.03
188 reference(s)
46-LOG_xiMc.11
186 reference(s)
47-MonodimensionalCellularAutomata.01.Fra
185 reference(s)
48-Commentaires_DefinitionTransformeeDeFourier.01
183 reference(s)
49-Galerie_Astrophysics.FV
182 reference(s)
50-ExpV_VirE.Fra
182 reference(s)
51-Kepler.02.
180 reference(s)
52-Galerie_QuantumMechanics
179 reference(s)
53-ExpV_VirE.01.Fra
179 reference(s)
54-MonodimensionalCellularAutomata.01.Ang
178 reference(s)
55-AQuoiServentLesMathematiques.02
178 reference(s)
56-Galerie_SensitivityToRoundingOffErrors.FV
177 reference(s)
57-Galerie_QuantumMechanics.FV
177 reference(s)
58-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
177 reference(s)
59-MonumentValley.01.Ang
174 reference(s)
60-ImagesDuVirtuel.01.Fra.FV
174 reference(s)
61-ExpV_VirE.21
174 reference(s)
62-Commentaires_EspaceLyapunovComplexe.01
174 reference(s)
63-create.03.
172 reference(s)
64-Galerie_BestOf.FV
172 reference(s)
65-An2000.02.Fra
171 reference(s)
66-real.01.vv.
170 reference(s)
67-MonumentValley.01.Fra
170 reference(s)
68-Galerie_SalonDAutomne.FV
170 reference(s)
69-Galerie_FluidMechanics.FV
170 reference(s)
70-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
169 reference(s)
71-AVirtualSpaceTimeTravelMachine.Ang.FV
169 reference(s)
72-infinity.01.vv
168 reference(s)
73-ManyChaos.01.Ang
167 reference(s)
74-Commentaires_DefinitionQuaternions.01
167 reference(s)
75-Galerie_NewPictures
166 reference(s)
76-Commentaires_ProblemeDesNCorps.01
166 reference(s)
77-An2000.01.Ang
166 reference(s)
78-subject.01.
165 reference(s)
79-infinity.02.vv
165 reference(s)
80-VisitesGaleriesEnfouies.01.Fra
165 reference(s)
81-Galerie_SignalProcessing.FV
165 reference(s)
82-Commentaires_EnsembleJuliaQuaternion.01
164 reference(s)
83-An2000.11.Fra
164 reference(s)
84-An2000.04.Fra
163 reference(s)
85-ManyChaos.01.Fra
162 reference(s)
86-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
162 reference(s)
87-Galerie_CollaborativeWorks.
161 reference(s)
88-Commentaires_DefinitionComplexes.01
161 reference(s)
89-Commentaires_ProblemeDesNAimants.01
160 reference(s)
90-Commentaires_EnsembleMandelbrotComplexe.01
160 reference(s)
91-ArtScience.11.Fra
160 reference(s)
92-VisitesGaleriesEnfouies.01.Ang
159 reference(s)
93-Commentaires_DoubleJeenerBottle.01
159 reference(s)
94-ArtOrdinateur.01
159 reference(s)
95-Galerie_AnthropomorphicPatterns.FV
158 reference(s)
96-Commentaires_JeenerMobuisManifold.01
158 reference(s)
97-AvantPropos.01.Ang
158 reference(s)
98-ArtScience.01
158 reference(s)
99-VirtualChaos.01.Fra
157 reference(s)
100-MathematiquesPhysiqueInformatiqueImages.01.Fra
157 reference(s)
101-Galerie_SalonDAutomne
157 reference(s)
102-Commentaires_ModeleIsingBiDimensionnel.01
157 reference(s)
103-Commentaires_EnsembleJuliaComplexe.01
157 reference(s)
104-ArtScience.11.Ang
157 reference(s)
105-demo_14.FV
156 reference(s)
106-Galerie_QuantumMechanics.DIAPO.0001
156 reference(s)
107-Galerie_NewPictures.DIAPO.0001
156 reference(s)
108-Galerie_DeterministicChaos
156 reference(s)
109-Galerie_CollaborativeWorks..FV
156 reference(s)
110-Commentaires_SystemeSolaire.01
156 reference(s)
111-Commentaires_Sphere.01
156 reference(s)
112-Commentaires_RacinesTroisiemesUniteComplexes.01
156 reference(s)
113-An2000.03.Fra
156 reference(s)
114-VisSci_SciVis.02
155 reference(s)
115-Spheres.01
155 reference(s)
116-Informations_GoodNewsAndBadNews.01.Fra
155 reference(s)
117-Galerie_GeneralitiesVisualization
155 reference(s)
118-ExpV_VirE.01.Ang
155 reference(s)
119-Commentaires_KleinBottle.01
155 reference(s)
120-Commentaires_JeenerMobuisManifold.02
155 reference(s)
121-Commentaires_EnsembleMandelbrotQuaternion.01
155 reference(s)
122-An2000.06.Fra
155 reference(s)
123-MathematiquesPhysiqueFractales.01
154 reference(s)
124-Informations_GoodNewsAndBadNews.01.Ang
154 reference(s)
125-ExpV_VirE.Ang
154 reference(s)
126-Commentaires_ModeleIsingTriDimensionnel.01
154 reference(s)
127-PerteDeLAssociativite.01
153 reference(s)
128-DuReelAuVirtuel.01.Fra
153 reference(s)

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




Copyright (c) Jean-François Colonna, 2009-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2009-2018.