Monthly Best Of on 04/28/2008




Tridimensional display of an arbitrary scalar field -fractal-

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 04/28/2008 and last updated on 10/03/2024 17:01:34 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The random walk of photons escaping the Sun
1-284 reference(s)		Black dots (inside random white squares)on a square lattice
2-243 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-130 reference(s)		Hypercube
4-97 reference(s)
Quark and gluon structure of a nucleon
5-95 reference(s)		Quark and gluon structure of a nucleon
6-63 reference(s)		Artistic view of the prime numbers
7-62 reference(s)		Quark and gluon dynamics of the nucleon
8-54 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
9-49 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
10-49 reference(s)		Electron diffraction
11-46 reference(s)		Autostereogram with an hidden volcano
12-43 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
13-42 reference(s)		The random walk of photons escaping the Sun
14-41 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
15-41 reference(s)		Autostereogram with an hidden volcano and fractal phenomenon
16-40 reference(s)
N-body problem integration (N=3)with one yellow star and two planets (the red one being very heavy and the blue one being light)
17-37 reference(s)		The random walk of photons escaping the Sun
18-36 reference(s)		From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
19-35 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
20-33 reference(s)
Artistic view of the Big Bang
21-32 reference(s)		The Lorenz attractor
22-30 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
23-30 reference(s)		From Pluto to the Sun (non linear scales)
24-28 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
25-28 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
26-24 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)
27-23 reference(s)		Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
28-23 reference(s)
The Birth of the Universe
29-22 reference(s)		Isotropic random walk of 64 particles on a tridimensional square lattice
30-21 reference(s)		Synthesis of tridimensional symmetrical geometrical textures
31-21 reference(s)		Botticelli anomaly on the Moon
32-21 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
33-20 reference(s)		Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
34-20 reference(s)		From Pluto to the Sun -extrapolation 2- (non linear scales)
35-19 reference(s)		The non linear transformation of the coordinates in the Solar System
36-17 reference(s)
Untitled 0101
37-16 reference(s)		Tridimensional display of the particle density of a bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
38-16 reference(s)		The rain (or the snow)is falling
39-16 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
40-16 reference(s)
Texture animation by means of the generalized Fourier filtering process
41-16 reference(s)		Artistic view of the Klein bottle
42-16 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
43-16 reference(s)		Untitled 0100
44-15 reference(s)
Psychedelic hypercube
45-15 reference(s)		Artistic view of a quadridimensional Calabi-Yau manifold
46-15 reference(s)		Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
47-14 reference(s)		The City and the Stars -a Tribute to Arthur C. Clarke-
48-14 reference(s)
A Tribute to Archimedes
49-14 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
50-14 reference(s)		Animation of bidimensional symmetrical geometrical textures
51-14 reference(s)		A dynamic 'crumpled' Klein bottle defined by means of three sets of bidimensional fields
52-14 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
53-14 reference(s)		The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
54-13 reference(s)		24 evenly distributed points on a sphere by means of simulated annealing
55-13 reference(s)		N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed with 2 slightly different sets of initial conditions (sensitivity to initial conditions)
56-13 reference(s)
The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
57-13 reference(s)		The tridimensional field defining the three coordinates of the Jeener-Möbius tridimensional manifold
58-13 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
59-13 reference(s)		Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
60-13 reference(s)
White Hole
61-13 reference(s)		Untitled 0098
62-12 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
63-12 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
64-12 reference(s)
Cauliflowers, seaweeds, shells,... with fog
65-12 reference(s)		The tridimensional field defining the three coordinates of a tridimensional manifold
66-12 reference(s)		The set of bidimensional fields defining the 'X' coordinate of a dynamic 'crumpled' Klein bottle
67-12 reference(s)		The Eratosthene sieve displaying 100x100 numbers
68-12 reference(s)
Simulation of 'from Pluto to the Sun' with pure uniform circular motions (linear scales)
69-12 reference(s)		From Pluto to the Sun
70-12 reference(s)		Artistic view of the Solar System viewed approximately from Jupiter
71-12 reference(s)		Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
72-12 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
73-12 reference(s)		Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
74-12 reference(s)		Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
75-12 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
76-11 reference(s)
The tridimensional field defining the 'X' coordinate of a tridimensional Möbius-like manifold
77-11 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
78-11 reference(s)		The generalized Ulam spiral displaying 100 numbers
79-11 reference(s)		Simulation of 'from Pluto to the Sun -extrapolation 2-' with pure uniform circular motions (non linear scales)
80-11 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
81-11 reference(s)		The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
82-11 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
83-11 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
84-11 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
85-11 reference(s)		Fractal new Moon
86-10 reference(s)		Quantum vacuum fluctuations
87-10 reference(s)		Vibrations 0003
88-10 reference(s)
Untitled 0099
89-10 reference(s)		16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
90-10 reference(s)		Autostereogram with an hidden volcano
91-10 reference(s)		Autostereogram with an hidden volcano
92-10 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
93-10 reference(s)		Autostereogram with an hidden volcano
94-10 reference(s)		Bidimensional rectangular billiard with 64 isotropic particles and with collisions
95-10 reference(s)		Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
96-10 reference(s)
Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
97-10 reference(s)		Mountains and light cloud dynamics -this sequence being periodical-
98-10 reference(s)		From Pluto to the Sun -extrapolation 1- (non linear scales)
99-10 reference(s)		A dynamics of the coordinate grid of a Jeener-Möbius tridimensional manifold
100-10 reference(s)
The Möbius strip
101-10 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
102-10 reference(s)		The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
103-10 reference(s)		Rotation about the X axis of the Lorenz attractor
104-10 reference(s)
Tridimensional fractal structure
105-10 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
106-10 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0]
107-9 reference(s)		Untitled 0096
108-9 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
109-9 reference(s)		Autostereogram with an hidden ring and ghost bows
110-9 reference(s)		A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle and with display of velocity histograms
111-9 reference(s)		Bidimensional domino effect
112-9 reference(s)
Animation of a natural form
113-9 reference(s)		The tridimensional field defining the three coordinates of a tridimensional twisted torus-like manifold
114-9 reference(s)		A 'fractal plane' with overhangings defined by means of three bidimensional fields
115-9 reference(s)		The set of bidimensional fields defining the three coordinates of an interpolation between the Klein bottle and a 'double sphere'
116-9 reference(s)
The Scream -a Tribute to Edvard Munch-
117-9 reference(s)		Picture interpolation by means of the Generalized Product
118-9 reference(s)		An Archimedes spiral displaying 1000 numbers
119-9 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)
120-9 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)
121-9 reference(s)		2.pi rotation about the Y axis of a quaternionic Julia set with motion blur -tridimensional cross-section-
122-9 reference(s)		2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
123-9 reference(s)		Bidimensional cross-sections inside the tridimensional Ising Model with 2-state spins, temperature=0.1 and random initial conditions
124-9 reference(s)
A shell (Jeener surface 1)in motion
125-9 reference(s)		Zoom in on the von Koch curve
126-8 reference(s)		Along the border of the Mandelbrot set
127-8 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
128-8 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
327 reference(s)		2-AVirtualSpaceTimeTravelMachine.Ang
136 reference(s)
3-An2000.01.Fra
109 reference(s)		4-help.
65 reference(s)
5-ImagesDuVirtuel.01.Fra
62 reference(s)		6-Fractal.01
58 reference(s)
7-demo_14.FV
56 reference(s)		8-Galerie_NumberTheory.FV
54 reference(s)
9-Galerie_Astrophysics.DIAPO.0001
53 reference(s)		10-FloatingPointNumbers.01.Ang
52 reference(s)
11-Galerie_QuantumMechanics.FV
50 reference(s)		12-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
48 reference(s)
13-Galerie_ArtisticCreation.FV
47 reference(s)		14-Galerie_ParticleSystems.FV
46 reference(s)
15-ExpV_VirE.11
45 reference(s)		16-copyright.01.
44 reference(s)
17-Stereogrammes_AutoStereogrammes.01
44 reference(s)		18-SurfaceProjector.01.Ang
43 reference(s)
19-ImagesDuVirtuel.01.Fra.FV
43 reference(s)		20-Galerie_GeneralitiesVisualization.FV
43 reference(s)
21-Galerie_DeterministicFractalGeometry.FV
43 reference(s)		22-AVirtualSpaceTimeTravelMachine.Fra.FV
43 reference(s)
23-Autostereograms.01.
42 reference(s)		24-FloatingPointNumbers.01.Fra
41 reference(s)
25-AVirtualSpaceTimeTravelMachine.Fra
41 reference(s)		26-AQuoiServentLesMathematiques.01
40 reference(s)
27-Galerie_DeterministicChaos.FV
39 reference(s)		28-AProposSite.01.Fra
39 reference(s)
29-Informations_AboutPicturesAnimationsAndFiles.01.Ang
38 reference(s)		30-VisSci_SciVis.01
36 reference(s)
31-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
35 reference(s)		32-Galerie_Astrophysics.DIAPO.0002
35 reference(s)
33-ExpV_VirE.21
35 reference(s)		34-LOG_xiMc.11
33 reference(s)
35-ExpV_VirE.Ang
33 reference(s)		36-subject.01.
32 reference(s)
37-mail.01.vv
32 reference(s)		38-Kepler.02.
32 reference(s)
39-GenieLogiciel.01.Fra
32 reference(s)		40-Galerie_FluidMechanics.FV
32 reference(s)
41-AnimFractal.01.
32 reference(s)		42-AQuoiServentLesMathematiques.03
32 reference(s)
43-RealNumbers.01.Fra
31 reference(s)		44-Galerie_Astrophysics.DIAPO.0003
31 reference(s)
45-ExpV_VirE.Fra
30 reference(s)		46-ExpV_VirE.01.Ang
30 reference(s)
47-Vcatalogue.11
29 reference(s)		48-MathematiquesPhysiqueFractales.01
29 reference(s)
49-ImpossibleStructures.01.Ang
29 reference(s)		50-Galerie_NewPictures.DIAPO.0001
29 reference(s)
51-Galerie_GeneralitiesVisualization
29 reference(s)		52-Galerie_DeterministicFractalGeometry
29 reference(s)
53-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
29 reference(s)		54-Commentaires_NKleinBottle.01
29 reference(s)
55-Commentaires_DefinitionTransformeeDeFourier.01
29 reference(s)		56-Commentaires_DefinitionQuaternions.01
29 reference(s)
57-SurfaceProjector.01.Fra
28 reference(s)		58-ManyChaos.01.Ang
28 reference(s)
59-Galerie_TextureSynthesis.FV
28 reference(s)		60-Galerie_CelestialMechanics.FV
28 reference(s)
61-Galerie_ArtAndScience.FV
28 reference(s)		62-DuModeleALImage.01.Fra
28 reference(s)
63-An2000.06.Fra
28 reference(s)		64-Galerie_FluidMechanics.DIAPO.0001
27 reference(s)
65-Galerie_DeterministicChaos
27 reference(s)		66-VisSci_SciVis.02
26 reference(s)
67-RemarquesCerveau.01
26 reference(s)		68-ManyChaos.01.Fra
26 reference(s)
69-Galerie_QuantumMechanics.DIAPO.0001
26 reference(s)		70-Galerie_NewPictures.FV
26 reference(s)
71-FaireDeLaRecherche.01.vv
26 reference(s)		72-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
26 reference(s)
73-Commentaires_RacinesNIemesUniteComplexes.01
26 reference(s)		74-Commentaires_ModeleIsingBiDimensionnel.01
26 reference(s)
75-Commentaires_DefinitionComplexes.01
26 reference(s)		76-ArtOrdinateur.01
26 reference(s)
77-An2000.05.Fra
26 reference(s)		78-An2000.01.Ang
26 reference(s)
79-present.01.
25 reference(s)		80-Galerie_CollaborativeWorks..FV
25 reference(s)
81-Galerie_ArtisticCreation.DIAPO.0001
25 reference(s)		82-Commentaires_RacinesTroisiemesUniteComplexes.01
25 reference(s)
83-AvantPropos.01.Ang
25 reference(s)		84-ArtScience.11.Fra
25 reference(s)
85-AVirtualSpaceTimeTravelMachine.Ang.FV
25 reference(s)		86-real.01.vv.
24 reference(s)
87-create.03.
24 reference(s)		88-VisitesGaleriesEnfouies.01.Ang
24 reference(s)
89-PerteDeLAssociativite.01
24 reference(s)		90-Informations_GoodNewsAndBadNews.01.Fra
24 reference(s)
91-Galerie_CelestialMechanics
24 reference(s)		92-Galerie_BestOf.DIAPO.0001
24 reference(s)
93-Galerie_ArtAndScience.DIAPO.0001
24 reference(s)		94-Commentaires_EnsembleMandelbrotComplexe.01
24 reference(s)
95-ArtScience.01
24 reference(s)		96-An2000.02.Fra
24 reference(s)
97-VirtualChaos.01.Fra
23 reference(s)		98-Galerie_QuantumMechanics
23 reference(s)
99-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0001
23 reference(s)		100-EnsembleDesGaleries.DIAPO.0001
23 reference(s)
101-Commentaires_SystemeSolaire.01
23 reference(s)		102-Commentaires_EnsembleJuliaQuaternion.01
23 reference(s)
103-Commentaires_EnsembleJuliaComplexe.01
23 reference(s)		104-An2000.03.Fra
23 reference(s)
105-AQuoiServentLesMathematiques.02
23 reference(s)		106-Galerie_SalonDAutomne.FV
22 reference(s)
107-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
22 reference(s)		108-Galerie_NewPictures
22 reference(s)
109-Galerie_FluidMechanics
22 reference(s)		110-Galerie_CelestialMechanics.DIAPO.0001
22 reference(s)
111-Galerie_BestOf.FV
22 reference(s)		112-Galerie_Astrophysics.FV
22 reference(s)
113-Commentaires_Sphere.01
22 reference(s)		114-Commentaires_ProblemeDesNAimants.01
22 reference(s)
115-Commentaires_ModeleIsingTriDimensionnel.01
22 reference(s)		116-Commentaires_KleinBottle.01
22 reference(s)
117-An2000.04.Fra
22 reference(s)		118-infinity.01.vv.DIAPO.0001
21 reference(s)
119-VisitesGaleriesEnfouies.01.Fra
21 reference(s)		120-MonumentValley.01.Ang
21 reference(s)
121-MathematiquesPhysiqueInformatiqueImages.01.Fra
21 reference(s)		122-IllusionConnaissance.01
21 reference(s)
123-Galeries.01.vv
21 reference(s)		124-Galerie_TextureSynthesis
21 reference(s)
125-Galerie_SignalProcessing.FV
21 reference(s)		126-Galerie_SensitivityToRoundingOffErrors
21 reference(s)
127-Galerie_AnthropomorphicPatterns.FV
21 reference(s)		128-Galerie_AnthropomorphicPatterns.DIAPO.0001
21 reference(s)

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




Copyright © Jean-François COLONNA, 2008-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2008-2024.