Monthly Best Of on 10/28/2012




Tridimensional fractal structure

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
1-293 reference(s)
The generalized Ulam spiral
2-249 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-81 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
4-80 reference(s)
Zoom in on the von Koch curve
5-76 reference(s)
Artistic view of the prime numbers
6-72 reference(s)
The Lorenz attractor
7-66 reference(s)
Autostereogram with an hidden volcano
8-53 reference(s)
7-foil torus knot on its torus
9-53 reference(s)
Artistic variation on fractal 3/5/7-foil torus knots
10-50 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
11-49 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)
12-46 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
13-42 reference(s)
Anaglyph -blue=right, red=left- of the tridimensional Hilbert Curve -iteration 3-
14-42 reference(s)
The Goldbach conjecture
15-40 reference(s)
The random walk of photons escaping the Sun
16-38 reference(s)
Happy new year 2000
17-36 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
18-36 reference(s)
Monument Valley à la David Hockney
19-35 reference(s)
Mystery cliffs at sunrise
20-35 reference(s)
From the infinitely small to the infinitely big
21-35 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
22-34 reference(s)
The random walk of photons escaping the Sun
23-34 reference(s)
Hypercube
24-34 reference(s)
Intertwining
25-33 reference(s)
Mystery mountain at sunrise
26-32 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
27-31 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
28-31 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
29-31 reference(s)
Paradoxal Monument Valley at sunset
30-30 reference(s)
Quantum vacuum fluctuations
31-29 reference(s)
Anaglyph -blue=right, red=left- of a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-'the children round' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
32-29 reference(s)
Jean-François Colonna
33-28 reference(s)
Along the border of the Mandelbrot set
34-27 reference(s)
Autostereogram with an hidden volcano
35-27 reference(s)
Quark and gluon structure of a nucleon
36-27 reference(s)
Anaglyph -blue=right, red=left- of a close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
37-27 reference(s)
Fractal 7-foil torus knot
38-27 reference(s)
Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
39-27 reference(s)
Mountains at sunrise
40-26 reference(s)
From Pluto to the Sun (non linear scales)
41-26 reference(s)
The Birth of the Universe
42-26 reference(s)
Tridimensional fractal structure -the space-time foam?-
43-26 reference(s)
A shell (Jeener surface 1)
44-26 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
45-25 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
46-25 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
47-24 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
48-24 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
49-24 reference(s)
Anaglyph -blue=right, red=left- of a tridimensional representation of a quadridimensional Calabi-Yau manifold
50-24 reference(s)
Autostereogram with an hidden volcano
51-23 reference(s)
Botticelli anomaly on the Moon
52-23 reference(s)
Mountains at sunrise
53-23 reference(s)
The Möbius strip
54-23 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
55-23 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
56-23 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
57-23 reference(s)
Artistic view of the Big Bang
58-22 reference(s)
Autostereogram with an hidden volcano
59-22 reference(s)
Autostereogram with an hidden ring and ghost bows
60-22 reference(s)
A 'fractal plane' with overhangings defined by means of three bidimensional fields
61-22 reference(s)
The generalized Ulam spiral displaying 100 numbers
62-22 reference(s)
A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(0,1,0,0,0,0,0,0) and with a locally variable exponent between 2 and 12 -tridimensional cross-section-
63-22 reference(s)
True colors autostereogram of a fractal landscape
64-22 reference(s)
Clouds
65-22 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
66-22 reference(s)
Tridimensional visualization of the ABC conjecture
67-22 reference(s)
Quark and gluon structure of a nucleon
68-21 reference(s)
A tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
69-21 reference(s)
Tridimensional visualization of the Verhulst dynamics
70-21 reference(s)
The octonionic Julia set computed with A=(0,1,0,0,0,0,0,0)-tridimensional cross-section-
71-21 reference(s)
Anaglyph -blue=right, red=left- of a tridimensional filamentous fractal structure
72-21 reference(s)
Tridimensional display (bird's-eye view)of the density of particles during a bidimensional diffusion process
73-21 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
74-21 reference(s)
Recursive intertwining
75-20 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
76-20 reference(s)
Bidimensional fractal aggregate obtained by means of a 50% pasting process during collisions of particles submitted to an attractive central field of gravity
77-20 reference(s)
Mountains and fog
78-20 reference(s)
A set of 4x3 stereograms of a close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
79-20 reference(s)
Tridimensional visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
80-20 reference(s)
Tridimensional visualization of the Verhulst dynamics
81-20 reference(s)
Bidimensional Hilbert Curve -iteration 4-
82-20 reference(s)
Anaglyph -blue=right, red=left- of a tridimensional fractal structure -the space-time foam?-
83-20 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
84-20 reference(s)
Tridimensional fractal aggregate obtained by means of a 50% pasting process during collisions of particles submitted to an attractive central field of gravity
85-19 reference(s)
Quark and gluon dynamics of the nucleon
86-19 reference(s)
Foggy Cliffs
87-19 reference(s)
Snowy multifractal mountains
88-19 reference(s)
Octonionic mountains with extended arithmetics
89-19 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
90-19 reference(s)
A pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
91-19 reference(s)
Close-up on an hybrid pseudo-octonionic Mandelbrot-Julia set ('MandelBulb' like: a 'MandelJuliaBulb')-tridimensional cross-section-
92-19 reference(s)
Anaglyph -blue=right, red=left- of the Lorenz attractor
93-19 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
94-19 reference(s)
Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
95-19 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
96-19 reference(s)
A fractal Möbius strip
97-19 reference(s)
Synthesis of tridimensional textures by means of a fractal process
98-19 reference(s)
The normal field of a shell (Jeener surface 1)
99-19 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
100-19 reference(s)
Bidimensional brownian motion with a gaussian distribution law regarding the radial coordinate
101-19 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
102-18 reference(s)
Intertwining
103-18 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
104-18 reference(s)
Snowy multifractal mountains
105-18 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 1/O conformal transformation in the pseudo-octonionic space -tridimensional cross-section-
106-18 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
107-18 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
108-18 reference(s)
Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
109-18 reference(s)
Convolution of a detail of the Mandelbrot set
110-18 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
111-18 reference(s)
The Lorenz attractor
112-18 reference(s)
A pyramidal Menger sponge computed by means of an 'Iterated Function System' -IFS-
113-18 reference(s)
Tridimensional fractal structure
114-18 reference(s)
Anaglyph -blue=right, red=left- of a tridimensional fractal structure
115-18 reference(s)
Electron-positron scattering
116-18 reference(s)
Foggy island
117-18 reference(s)
The ABC conjecture
118-18 reference(s)
Bidimensional brownian motion with a uniform distribution law regarding the radial coordinate
119-18 reference(s)
The construction process of the von Koch curve
120-17 reference(s)
Paradoxal islands at sunset
121-17 reference(s)
Foggy Archimedes mountains
122-17 reference(s)
First clouds on the Moon
123-17 reference(s)
Linear landscape interpolation with fog
124-17 reference(s)
Black and white display of a tridimensional function
125-17 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
126-17 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
127-17 reference(s)
Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
128-17 reference(s)




2-The 128 most referenced Pages:



1-demo_14
625 reference(s)
2-help.
344 reference(s)
3-An2000.01.Fra
319 reference(s)
4-AVirtualSpaceTimeTravelMachine.Ang
312 reference(s)
5-Fractal.01
284 reference(s)
6-AQuoiServentLesMathematiques.01
262 reference(s)
7-catalogue.11
246 reference(s)
8-FloatingPointNumbers.01.Fra
244 reference(s)
9-Stereogrammes_AutoStereogrammes.01
242 reference(s)
10-MonodimensionalCellularAutomata.01.Fra
226 reference(s)
11-ExpV_VirE.11
223 reference(s)
12-Galerie_GeneralitiesVisualization.FV
217 reference(s)
13-MathematiquesPhysiqueFractales.02
216 reference(s)
14-Galerie_ArtisticCreation.FV
211 reference(s)
15-aquoiserventlesmathematiques.01
204 reference(s)
16-FaireDeLaRecherche.01.vv
199 reference(s)
17-UlamSpiral.01.Ang
190 reference(s)
18-mail.01.vv
188 reference(s)
19-copyright.01.
188 reference(s)
20-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
183 reference(s)
21-Kepler.02.
180 reference(s)
22-GenieLogiciel_VisualisationScientifique.01.vv
178 reference(s)
23-Galerie_DeterministicFractalGeometry.FV
177 reference(s)
24-SurfaceProjector.01.Fra
175 reference(s)
25-Galerie_ArtAndScience.FV
175 reference(s)
26-AProposSite.01.Fra
173 reference(s)
27-SurfaceProjector.01.Ang
166 reference(s)
28-AnimFractal.01.
166 reference(s)
29-NatureDesMathematiques.01.vv.Fra
165 reference(s)
30-RealNumbers.01.Fra
163 reference(s)
31-GenieLogiciel.01.Fra
162 reference(s)
32-GoldenTriangle.01.Fra
161 reference(s)
33-Galerie_TextureSynthesis.FV
161 reference(s)
34-Galerie_NewPictures.FV
161 reference(s)
35-infinity.01.vv
160 reference(s)
36-FloatingPointNumbers.01.Ang
159 reference(s)
37-AVirtualSpaceTimeTravelMachine.Fra
157 reference(s)
38-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
156 reference(s)
39-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
155 reference(s)
40-UlamSpiral.01.Fra
154 reference(s)
41-PerteDeLAssociativite.01
154 reference(s)
42-OrdinateurMathematiquesArt.01.Fra
154 reference(s)
43-Galerie_NumberTheory.FV
154 reference(s)
44-NombresEtLumiere.01.vv.Fra
153 reference(s)
45-DieuScience.01.Fra
152 reference(s)
46-Autostereograms.01.
152 reference(s)
47-ImpossibleStructures.01.Fra
151 reference(s)
48-Galerie_SignalProcessing.FV
151 reference(s)
49-VirtualChaos.01.Fra
149 reference(s)
50-Informations_AboutPicturesAnimationsAndFiles.01.Ang
148 reference(s)
51-ImagesDuVirtuel.01.Fra.FV
148 reference(s)
52-IllusionConnaissance.02
148 reference(s)
53-infinity.02.vv
145 reference(s)
54-NDimensionalDeterministicFractalSets.01.Fra
144 reference(s)
55-ManyChaos.01.Fra
143 reference(s)
56-fractal.01
141 reference(s)
57-Galerie_QuantumMechanics.FV
141 reference(s)
58-fairedelarecherche.01.vv
139 reference(s)
59-EntrelacsIntertwinings.01.Fra
139 reference(s)
60-present.01.
138 reference(s)
61-RemarquesCerveau.01
138 reference(s)
62-NDimensionalDeterministicFractalSets.01.Ang
138 reference(s)
63-Galerie_CelestialMechanics.FV
138 reference(s)
64-GoldenTriangle.01.Ang
137 reference(s)
65-OrdinateursEtCalculs.01.Fra
136 reference(s)
66-EnsembleDesGaleriesFractales.DIAPO.0001
136 reference(s)
67-MathematiquesEtRepresentations.01.vv.Ang
135 reference(s)
68-ImpossibleStructures.01.Ang
135 reference(s)
69-Fractal.11
135 reference(s)
70-demo_14.FV
134 reference(s)
71-PatrimoineHumanite.02.Fra
134 reference(s)
72-MathematiquesEtCinematographe.01.vv
133 reference(s)
73-ExpV_VirE.Ang
132 reference(s)
74-Galerie_ParticleSystems.FV
131 reference(s)
75-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
131 reference(s)
76-ExpV_VirE.01.Fra
130 reference(s)
77-EntrelacsIntertwinings.01.Ang
129 reference(s)
78-VisitesGaleriesEnfouies.01.Fra
128 reference(s)
79-MathematiquesModeleOutilArtiste.02.Ang
128 reference(s)
80-Commentaires_DefinitionComplexes.01
128 reference(s)
81-VirtualChaos.01.Ang
127 reference(s)
82-MonodimensionalCellularAutomata.01.Ang
127 reference(s)
83-Informations_AboutPicturesAnimationsAndFiles.01.Fra
127 reference(s)
84-Commentaires_Cube.01
127 reference(s)
85-subject.01.
126 reference(s)
86-QuelquesQuestionsSurLaRecherche.01.Fra
126 reference(s)
87-ImagesDuVirtuel.01.Fra
126 reference(s)
88-Galerie_DeterministicChaos.FV
126 reference(s)
89-AvantPropos.01.Fra
126 reference(s)
90-create.03.
125 reference(s)
91-Spheres.01
125 reference(s)
92-ManyChaos.01.Ang
125 reference(s)
93-EnsembleDesGaleries.DIAPO.0001
125 reference(s)
94-PerteDeLAssociativite.01.MUL3
124 reference(s)
95-Galerie_Astrophysics.FV
124 reference(s)
96-Galerie_SensitivityToRoundingOffErrors.FV
123 reference(s)
97-Galerie_BestOf.FV
123 reference(s)
98-VisitesGaleriesEnfouies.01.Ang
122 reference(s)
99-PerteDeLAssociativite.01.ADD3
122 reference(s)
100-Fractal.02
122 reference(s)
101-ExpV_VirE.Fra
122 reference(s)
102-An2000.01.Ang
121 reference(s)
103-MathematiquesPhysiqueFractales.01
120 reference(s)
104-DuModeleALaPriseDeDecision.01.Fra
120 reference(s)
105-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
120 reference(s)
106-AQuoiServentLesMathematiques.03
120 reference(s)
107-LOG_xiMc.11
119 reference(s)
108-OrdinateursEtCalculs.01.Ang
118 reference(s)
109-Commentaires_DefinitionTransformeeDeFourier.01
118 reference(s)
110-AVirtualSpaceTimeTravelMachine.Ang.FV
118 reference(s)
111-Galerie_FluidMechanics.FV
117 reference(s)
112-ExpV_VirE.21
117 reference(s)
113-MathematiquesEtRepresentations.01.vv.Fra
116 reference(s)
114-Commentaires_ProblemeDesNAimants.01
116 reference(s)
115-Commentaires_EnsembleMandelbrotQuaternion.01
116 reference(s)
116-AvantPropos.01.Ang
116 reference(s)
117-DuReelAuVirtuel.01.Fra
114 reference(s)
118-Commentaires_ProblemeDesNCorps.01
114 reference(s)
119-Commentaires_EnsembleMandelbrotComplexe.01
114 reference(s)
120-Commentaires_ModeleIsingBiDimensionnel.01
113 reference(s)
121-ArtScience.11.Fra
113 reference(s)
122-Commentaires_EspaceLyapunovComplexe.01
112 reference(s)
123-Commentaires_DoubleJeenerBottle.01
112 reference(s)
124-Commentaires_DefinitionOctonions.01
112 reference(s)
125-VisSci_SciVis.02
111 reference(s)
126-EnsembleDesGaleries.DIAPO
111 reference(s)
127-Commentaires_KleinBottle.01
111 reference(s)
128-Commentaires_Cylindre.01
111 reference(s)

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




Copyright (c) Jean-François Colonna, 2012-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2012-2018.