Monthly Best Of on 04/28/2009




Tridimensional fractal structure in a tridimensional torus

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

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(CMAP28 WWW site: this page was created on 04/28/2009 and last updated on 10/03/2024 17:01:47 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Tridimensional representation of a quadridimensional Calabi-Yau manifold
1-500 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-332 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
3-201 reference(s)		Autostereogram with an hidden volcano
4-193 reference(s)
Quark and gluon structure of a nucleon
5-172 reference(s)		Happy new year 2000
6-151 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
7-139 reference(s)		The Scream -a Tribute to Edvard Munch-
8-131 reference(s)
The Lorenz attractor
9-129 reference(s)		Hypercube
10-119 reference(s)		Autostereogram with an hidden volcano
11-105 reference(s)		Artistic view of the prime numbers
12-100 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
13-99 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
14-98 reference(s)		The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
15-97 reference(s)		Welcome aboard a Virtual Space-Time Travel Machine
16-96 reference(s)
The random walk of photons escaping the Sun
17-92 reference(s)		From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
18-88 reference(s)		Particles in a bidimensional box submitted to an attractive central field of gravity
19-88 reference(s)		Autostereogram with an hidden ring and ghost bows
20-84 reference(s)
Mountains at sunrise
21-83 reference(s)		Quark and gluon structure of a nucleon
22-82 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
23-77 reference(s)		The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
24-74 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
25-72 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
26-70 reference(s)		Fractal synthesis of mountains with vegetation and stormy clouds
27-70 reference(s)		Black dots (inside random white squares)on a square lattice
28-65 reference(s)
Intertwining
29-62 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
30-62 reference(s)		Quark and gluon dynamics of the nucleon
31-57 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
32-56 reference(s)
Chessboard
33-54 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
34-53 reference(s)		Electron-positron scattering
35-52 reference(s)		The generalized Ulam spiral displaying 100 numbers
36-50 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
37-49 reference(s)		Autostereogram with an hidden volcano
38-48 reference(s)		Two multiplexed autostereograms by means of a pi/2 rotation
39-48 reference(s)		Along the border of the Mandelbrot set
40-47 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
41-47 reference(s)		From Pluto to the Sun (non linear scales)
42-46 reference(s)		Happy new year 2000
43-45 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
44-45 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
45-45 reference(s)		Snowy multifractal mountains
46-44 reference(s)		The Birth of the Universe
47-44 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
48-42 reference(s)
Artistic view of the Big Bang
49-40 reference(s)		Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
50-40 reference(s)		Autostereogram with an hidden volcano
51-39 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
52-39 reference(s)
The Eratosthene sieve displaying 100x100 numbers
53-38 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0]
54-37 reference(s)		Autostereogram with an hidden volcano
55-37 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
56-36 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
57-36 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)
58-36 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)
59-36 reference(s)		A quaternionic Julia set -tridimensional cross-section-
60-36 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
61-36 reference(s)		Artistic view of a quadridimensional Calabi-Yau manifold
62-35 reference(s)		The Klein bottle
63-35 reference(s)		Autostereogram of the CMAP
64-34 reference(s)
Alien
65-34 reference(s)		Extended life game
66-34 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
67-33 reference(s)		Mandelbrot rainbow mountain with fog
68-33 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
69-32 reference(s)		Quaternionic shell fossil
70-32 reference(s)		24 evenly distributed points on a sphere by means of simulated annealing
71-32 reference(s)		Botticelli anomaly on the Moon
72-32 reference(s)
The Lorenz attractor
73-32 reference(s)		Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
74-32 reference(s)		Volcano
75-32 reference(s)		Intertwining
76-31 reference(s)
Autostereogram with an hidden volcano and an animated disguise texture
77-31 reference(s)		True colors autostereogram of a fractal landscape
78-31 reference(s)		Animation of a sunrise on mountains
79-31 reference(s)		Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
80-31 reference(s)
A quaternionic Julia set -tridimensional cross-section-
81-31 reference(s)		The generalized Ulam spiral displaying 1024 numbers
82-29 reference(s)		Rotation about the X axis of the Lorenz attractor
83-29 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
84-29 reference(s)
A shell (Jeener surface 1)in motion
85-29 reference(s)		From the infinitely small to the infinitely big
86-29 reference(s)		The first two iterations of the construction of the von Koch curve
87-28 reference(s)		A 'double' interpolation between two intertwinings
88-28 reference(s)
Untitled 0114
89-28 reference(s)		The random walk of photons escaping the Sun
90-28 reference(s)		The Boy surface
91-28 reference(s)		A pyramidal Menger Sponge computed by means of an 'Iterated Function System' -IFS-
92-28 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
93-28 reference(s)		An elementary monodimensional binary cellular automaton -86- with 1 white starting point -bottom middle-
94-28 reference(s)		A tridimensional fractal structure
95-27 reference(s)		Animation of a natural form
96-27 reference(s)
An Archimedes spiral displaying 1000 numbers
97-27 reference(s)		From Pluto to the Sun -extrapolation 2- (non linear scales)
98-27 reference(s)		A bidimensional Sierpinski Carpet computed by means of an 'Iterated Function System' -IFS-
99-27 reference(s)		Tridimensional heterogeneous fractal structure in a tridimensional torus
100-27 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
101-27 reference(s)		The Jeener-Klein triple bottle
102-27 reference(s)		Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
103-26 reference(s)		Intertwining
104-26 reference(s)
The random walk of photons escaping the Sun
105-26 reference(s)		Electron diffraction
106-26 reference(s)		Erosion of a set of four bidimensional random (with large scale correlations)islands
107-26 reference(s)		Tridimensional brownian motion -the colors used (magenta,red,yellow,green,cyan)are an increasing function of the time- and the 'external border' of its bidimensional projection -white-
108-26 reference(s)
Quantum vacuum fluctuations
109-25 reference(s)		The City and the Stars -a Tribute to Arthur C. Clarke-
110-25 reference(s)		Recursive intertwining
111-25 reference(s)		An arbitrary surface (Jeener surface 2)in motion
112-25 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
113-25 reference(s)		A bidimensional fern computed by means of an 'Iterated Function System' -IFS-
114-25 reference(s)		White Hole
115-25 reference(s)		An arbitrary surface (Jeener surface 2)in motion
116-24 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
117-24 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
118-23 reference(s)		The Möbius strip
119-23 reference(s)		La Génèse (1974)
120-23 reference(s)
A shell (Jeener surface 1)
121-23 reference(s)		Foggy island
122-23 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
123-22 reference(s)		Intertwining
124-22 reference(s)
Erosion in Monument Valley with fog
125-22 reference(s)		The foggy Earth planet
126-22 reference(s)		Foggy island
127-22 reference(s)		Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
128-22 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
932 reference(s)		2-An2000.01.Fra
397 reference(s)
3-AVirtualSpaceTimeTravelMachine.Ang
369 reference(s)		4-help.
233 reference(s)
5-An2000.05.Fra
215 reference(s)		6-Galerie_GeneralitiesVisualization.FV
187 reference(s)
7-FloatingPointNumbers.01.Fra
178 reference(s)		8-FloatingPointNumbers.01.Ang
177 reference(s)
9-catalogue.11
176 reference(s)		10-Galerie_ArtisticCreation.FV
176 reference(s)
11-AQuoiServentLesMathematiques.01
175 reference(s)		12-Autostereograms.01.
172 reference(s)
13-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
166 reference(s)		14-Fractal.01
166 reference(s)
15-mail.01.vv
165 reference(s)		16-AProposSite.01.Fra
164 reference(s)
17-copyright.01.
163 reference(s)		18-Informations_AboutPicturesAnimationsAndFiles.01.Ang
157 reference(s)
19-AVirtualSpaceTimeTravelMachine.Fra
155 reference(s)		20-SurfaceProjector.01.Fra
151 reference(s)
21-ImagesDuVirtuel.01.Fra
151 reference(s)		22-ExpV_VirE.11
151 reference(s)
23-SurfaceProjector.01.Ang
146 reference(s)		24-Stereogrammes_AutoStereogrammes.01
144 reference(s)
25-Galerie_NumberTheory.FV
144 reference(s)		26-Galerie_ParticleSystems.FV
142 reference(s)
27-Galerie_NewPictures.FV
137 reference(s)		28-Galerie_DeterministicFractalGeometry.FV
137 reference(s)
29-Vcatalogue.11
135 reference(s)		30-Galerie_TextureSynthesis.FV
133 reference(s)
31-Galerie_ArtAndScience.FV
131 reference(s)		32-present.01.
130 reference(s)
33-GenieLogiciel.01.Fra
130 reference(s)		34-AVirtualSpaceTimeTravelMachine.Ang.FV
130 reference(s)
35-Galerie_CelestialMechanics.FV
129 reference(s)		36-RealNumbers.01.Fra
126 reference(s)
37-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
126 reference(s)		38-Commentaires_DefinitionTransformeeDeFourier.01
121 reference(s)
39-ExpV_VirE.Fra
119 reference(s)		40-EntrelacsIntertwinings.01.Ang
119 reference(s)
41-EntrelacsIntertwinings.01.Fra
118 reference(s)		42-Galerie_TextureSynthesis.DIAPO.0156
116 reference(s)
43-AnimFractal.01.
115 reference(s)		44-Galerie_QuantumMechanics.FV
114 reference(s)
45-AQuoiServentLesMathematiques.03
113 reference(s)		46-Commentaires_NKleinBottle.01
112 reference(s)
47-ImagesDuVirtuel.01.Fra.FV
111 reference(s)		48-Galeries.01.vv
111 reference(s)
49-An2000.11.Fra
109 reference(s)		50-AVirtualSpaceTimeTravelMachine.Fra.FV
109 reference(s)
51-Galerie_DeterministicChaos.FV
108 reference(s)		52-LOG_xiMc.11
105 reference(s)
53-An2000.02.Fra
103 reference(s)		54-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
98 reference(s)
55-ManyChaos.01.Ang
97 reference(s)		56-Commentaires_SystemeSolaire.01
97 reference(s)
57-Commentaires_EspaceLyapunovComplexe.01
96 reference(s)		58-AvantPropos.01.Ang
96 reference(s)
59-An2000.01.Ang
95 reference(s)		60-MonodimensionalCellularAutomata.01.Fra
94 reference(s)
61-Galerie_SalonDAutomne.FV
94 reference(s)		62-ExpV_VirE.21
94 reference(s)
63-Galerie_NewPictures.DIAPO.0027
92 reference(s)		64-Commentaires_EnsembleJuliaComplexe.01
92 reference(s)
65-subject.01.
91 reference(s)		66-ManyChaos.01.Fra
91 reference(s)
67-Galerie_GeneralitiesVisualization.DIAPO.0037
91 reference(s)		68-ExpV_VirE.01.Fra
91 reference(s)
69-Kepler.02.
90 reference(s)		70-Galerie_SignalProcessing.FV
90 reference(s)
71-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0042
90 reference(s)		72-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0039
90 reference(s)
73-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0024
90 reference(s)		74-Galerie_NewPictures.DIAPO.0025
90 reference(s)
75-Galerie_BestOf.DIAPO.0033
90 reference(s)		76-Commentaires_DefinitionComplexes.01
90 reference(s)
77-EnsembleDesGaleries.DIAPO.0025
89 reference(s)		78-MonumentValley.01.Fra
88 reference(s)
79-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0041
88 reference(s)		80-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0022
88 reference(s)
81-Galerie_NewPictures.DIAPO.0030
88 reference(s)		82-Galerie_NewPictures.DIAPO.0028
88 reference(s)
83-Galerie_NewPictures.DIAPO.0023
88 reference(s)		84-Galerie_NewPictures.DIAPO.0022
88 reference(s)
85-Commentaires_ModeleIsingBiDimensionnel.01
88 reference(s)		86-MonodimensionalCellularAutomata.01.Ang
87 reference(s)
87-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0026
87 reference(s)		88-Galerie_NewPictures.DIAPO.0024
87 reference(s)
89-EnsembleDesGaleries.DIAPO.0030
87 reference(s)		90-infinity.01.vv
86 reference(s)
91-Galerie_TextureSynthesis.DIAPO.0021
86 reference(s)		92-Galerie_QuantumMechanics
86 reference(s)
93-Galerie_NumberTheory.DIAPO.0022
86 reference(s)		94-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0020
86 reference(s)
95-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0018
86 reference(s)		96-Galerie_NewPictures.DIAPO.0021
86 reference(s)
97-Galerie_NewPictures
86 reference(s)		98-Galerie_BestOf.FV
86 reference(s)
99-Galerie_BestOf.DIAPO.0032
86 reference(s)		100-Galerie_BestOf.DIAPO.0030
86 reference(s)
101-Galerie_Astrophysics.FV
86 reference(s)		102-MathematiquesPhysiqueFractales.01
85 reference(s)
103-Galerie_TextureSynthesis.DIAPO.0065
85 reference(s)		104-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0040
85 reference(s)
105-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0030
85 reference(s)		106-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0027
85 reference(s)
107-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
85 reference(s)		108-EnsembleDesGaleries.DIAPO.0063
85 reference(s)
109-EnsembleDesGaleries.DIAPO.0059
85 reference(s)		110-EnsembleDesGaleries.DIAPO.0031
85 reference(s)
111-AQuoiServentLesMathematiques.02
85 reference(s)		112-Galerie_SalonDAutomne
84 reference(s)
113-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0038
84 reference(s)		114-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0029
84 reference(s)
115-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0016
84 reference(s)		116-Galerie_NewPictures.DIAPO.0026
84 reference(s)
117-Galerie_BestOf.DIAPO.0031
84 reference(s)		118-Galerie_BestOf.DIAPO.0029
84 reference(s)
119-Galerie_BestOf.DIAPO.0025
84 reference(s)		120-Galerie_BestOf.DIAPO.0022
84 reference(s)
121-EnsembleDesGaleries.DIAPO.0061
84 reference(s)		122-EnsembleDesGaleries.DIAPO.0060
84 reference(s)
123-EnsembleDesGaleries.DIAPO.0029
84 reference(s)		124-Galerie_TextureSynthesis.DIAPO.0022
83 reference(s)
125-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0025
83 reference(s)		126-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0019
83 reference(s)
127-Galerie_NewPictures.DIAPO.0032
83 reference(s)		128-Galerie_NewPictures.DIAPO.0029
83 reference(s)

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




Copyright © Jean-François COLONNA, 2009-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2009-2024.