Monthly Best Of on 02/28/2008




A fractal surface (four iterations)defined by means of three bidimensional fields

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 02/28/2008 and last updated on 10/03/2024 17:01:33 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
1-443 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
2-435 reference(s)		Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
3-196 reference(s)		Quark and gluon structure of a nucleon
4-109 reference(s)
Black dots (inside random white squares)on a square lattice
5-66 reference(s)		Hypercube
6-60 reference(s)		From the infinitely small to the infinitely big
7-58 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
8-47 reference(s)
The random walk of photons escaping the Sun
9-30 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
10-27 reference(s)		Artistic view of the prime numbers
11-24 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
12-24 reference(s)
The random walk of photons escaping the Sun
13-22 reference(s)		Quark and gluon structure of a nucleon
14-22 reference(s)		From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
15-20 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
16-20 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
17-19 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)
18-19 reference(s)		Welcome aboard a Virtual Space-Time Travel Machine
19-19 reference(s)		Quark and gluon dynamics of the nucleon
20-18 reference(s)
Along the border of the Mandelbrot set
21-17 reference(s)		Isotropic random walk of 64 particles on a tridimensional square lattice
22-17 reference(s)		From Pluto to the Sun (non linear scales)
23-16 reference(s)		The set of bidimensional fields defining the 'X' coordinate of a dynamic 'crumpled' Klein bottle
24-15 reference(s)
Tridimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to a vertical field of gravity
25-14 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
26-14 reference(s)		Animation of bidimensional textures by means of the self-transformation of a fractal process
27-14 reference(s)		Animation of the artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
28-14 reference(s)
Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
29-14 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
30-13 reference(s)		Animation of bidimensional textures by means of the self-transformation of a fractal process
31-13 reference(s)		Autostereogram with an hidden volcano
32-12 reference(s)
Animation of a sunrise on mountains
33-12 reference(s)		Artistic view of the Big Bang
34-11 reference(s)		Tridimensional display of cross-sections inside a tridimensional fractal aggregate
35-11 reference(s)		The set of bidimensional fields defining the three coordinates of an interpolation between the Klein bottle and a 'double sphere'
36-11 reference(s)
From Pluto to the Sun
37-11 reference(s)		The journey of an Earth-like planet (blue)from Mars (red) to the Sun (yellow)
38-11 reference(s)		The Lorenz attractor
39-11 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
40-11 reference(s)
Fractal diffusion front in a bidimensional medium obtained by means of identical interacting particles
41-10 reference(s)		Tridimensional texture animation by means of the Generalized Product
42-10 reference(s)		Picture interpolation by means of the Generalized Product
43-10 reference(s)		Tridimensional texture animation by means of the Generalized Product
44-10 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
45-10 reference(s)		Mountains and light cloud dynamics -this sequence being periodical-
46-10 reference(s)		The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
47-10 reference(s)		From Mars to the Sun
48-10 reference(s)
The Möbius strip
49-10 reference(s)		Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
50-10 reference(s)		Bidimensional visualization of a bidimensional turbulent flow -sensitivity to initial conditions-
51-10 reference(s)		Untitled 0101
52-9 reference(s)
The tridimensional field defining the three coordinates of a tridimensional twisted torus-like manifold
53-9 reference(s)		A dynamic 'crumpled' Klein bottle defined by means of three sets of bidimensional fields
54-9 reference(s)		Texture animation by means of the Generalized Product
55-9 reference(s)		Texture animation by means of the Generalized Product
56-9 reference(s)
A variable Archimedes spiral displaying 1000 numbers
57-9 reference(s)		Animation of bidimensional textures by means of the self-transformation of a fractal process
58-9 reference(s)		The set of bidimensional fractal gaussian-attenuated fields used to define the three coordinates of a dynamic 'crumpled' Klein bottle
59-9 reference(s)		A dynamic fractal surface (four iterations)defined by means of three sets of bidimensional fields
60-9 reference(s)
16 earth-like planets initially on the same keplerian trajectory
61-9 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
62-9 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
63-9 reference(s)		The iterative process used to generate bidimensional fractal fields (16 iterations)
64-9 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
65-9 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
66-9 reference(s)		Quantum vacuum fluctuations
67-8 reference(s)		Autostereogram with an hidden volcano
68-8 reference(s)
A perfect tridimensional piston with following initial conditions: still piston, high temperature particles at left and low temperature particles at right, in a tridimensional box submitted to a vertical field of gravity
69-8 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
70-8 reference(s)		Bidimensional domino effect
71-8 reference(s)		The set of bidimensional fields defining the 'X' coordinate of an interpolation between two Klein bottles defined by means of two different sets of equations
72-8 reference(s)
The set of bidimensional fields defining the 'Z' coordinate of a dynamic 'crumpled' Klein bottle
73-8 reference(s)		The set of bidimensional fields defining the three coordinates of a dynamic 'crumpled' Klein bottle
74-8 reference(s)		Texture animation by means of the Generalized Product
75-8 reference(s)		Texture animation by means of the Generalized Product with Fourier filtering
76-8 reference(s)
Texture animation by means of the Generalized Product
77-8 reference(s)		Texture animation by means of the Generalized Product
78-8 reference(s)		Texture animation by means of the Generalized Product
79-8 reference(s)		The generalized Ulam spiral displaying 1024 numbers
80-8 reference(s)
The set of bidimensional fields defining the three coordinates of a dynamic 'crumpled' Klein bottle
81-8 reference(s)		Animation of bidimensional textures by means of the self-transformation of a fractal process
82-8 reference(s)		From Pluto to the Sun -extrapolation 2-
83-8 reference(s)		From Pluto to the Sun -extrapolation 2- (non linear scales)
84-8 reference(s)
From Pluto to the Sun
85-8 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)
86-8 reference(s)		N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation, our Earth being at the origin of the coordinates
87-8 reference(s)		The Birth of the Universe
88-8 reference(s)
The tridimensional Ising Model with 2-state spins, temperature=0.2 and random initial conditions
89-8 reference(s)		Rotation about the Y (vertical)axis of a tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
90-8 reference(s)		Zoom in on mountains (with 3D clipping, bird's-eye view)
91-8 reference(s)		Texture animation by means of the generalized Fourier filtering process
92-8 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
93-8 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
94-7 reference(s)		Autostereogram with an hidden volcano
95-7 reference(s)		Untitled 0098
96-7 reference(s)
Bidimensional rectangular billiard with 50% of small light particles and 50% of big heavy particles submitted to a vertical field of gravity
97-7 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
98-7 reference(s)		Isotropic random walk of 64 particles on a bidimensional square lattice
99-7 reference(s)		Self-transformation of a simple dynamical geometric texture
100-7 reference(s)
Self-transformation of a simple dynamical geometric texture
101-7 reference(s)		The set of bidimensional fields defining the 'X' coordinate of an interpolation between the Möbius strip and a 'double sphere'
102-7 reference(s)		The set of bidimensional fields defining the 'Y' coordinate of a dynamic 'crumpled' Klein bottle
103-7 reference(s)		Texture animation by means of inertia momentum computation
104-7 reference(s)
Texture animation by means of the Generalized Product
105-7 reference(s)		Fading by means of the Generalized Product
106-7 reference(s)		An Archimedes spiral displaying 1000 numbers
107-7 reference(s)		From Pluto to the Sun
108-7 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)
109-7 reference(s)		The non linear transformation of the coordinates in the Solar System
110-7 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)
111-7 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
112-7 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
113-7 reference(s)		From Pluto to the Sun -extrapolation 1- (non linear scales)
114-7 reference(s)		From Mars to the Sun -extrapolation-
115-7 reference(s)		From 'geocentrism' to 'heliocentrism'
116-7 reference(s)
N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation, our Earth being at the origin of the coordinates
117-7 reference(s)		The three pendulums and three magnets problem computed on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
118-7 reference(s)		The tridimensional field defining the three coordinates of the Jeener-Möbius tridimensional manifold
119-7 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
120-7 reference(s)
Translation along the fourth axis of a quaternionic Julia set -tridimensional cross-sections-
121-7 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set (64 views)-tridimensional cross-section-
122-7 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
123-7 reference(s)		The bidimensional Ising Model with 2-state spins, temperature=0.2 and random initial conditions
124-7 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
125-7 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
126-7 reference(s)		Erosion of a tridimensional random medium
127-7 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-
128-7 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
154 reference(s)		2-AVirtualSpaceTimeTravelMachine.Ang
53 reference(s)
3-An2000.01.Fra
40 reference(s)		4-ImagesDuVirtuel.01.Fra
39 reference(s)
5-Autostereograms.01.
31 reference(s)		6-Galerie_Astrophysics.DIAPO.0001
29 reference(s)
7-subject.01.
26 reference(s)		8-Fractal.01
26 reference(s)
9-FloatingPointNumbers.01.Fra
26 reference(s)		10-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
25 reference(s)
11-AQuoiServentLesMathematiques.01
25 reference(s)		12-Stereogrammes_AutoStereogrammes.01
23 reference(s)
13-Galerie_GeneralitiesVisualization.FV
23 reference(s)		14-Galerie_ParticleSystems.FV
22 reference(s)
15-ExpV_VirE.11
22 reference(s)		16-help.
21 reference(s)
17-SurfaceProjector.01.Ang
20 reference(s)		18-FloatingPointNumbers.01.Ang
19 reference(s)
19-Galerie_QuantumMechanics.FV
18 reference(s)		20-present.01.
17 reference(s)
21-copyright.01.
17 reference(s)		22-ImagesDuVirtuel.01.Fra.FV
17 reference(s)
23-GenieLogiciel.01.Fra
17 reference(s)		24-Galerie_DeterministicFractalGeometry.FV
17 reference(s)
25-Galerie_ArtisticCreation.FV
17 reference(s)		26-VisSci_SciVis.02
16 reference(s)
27-SurfaceProjector.01.Fra
16 reference(s)		28-Kepler.02.
15 reference(s)
29-Informations_AboutPicturesAnimationsAndFiles.01.Ang
15 reference(s)		30-Galerie_NumberTheory.FV
15 reference(s)
31-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
15 reference(s)		32-AVirtualSpaceTimeTravelMachine.Fra
15 reference(s)
33-AQuoiServentLesMathematiques.03
15 reference(s)		34-AProposSite.01.Fra
15 reference(s)
35-mail.01.vv
14 reference(s)		36-demo_14.FV
14 reference(s)
37-ManyChaos.01.Fra
14 reference(s)		38-Informations_GoodNewsAndBadNews.01.Fra
14 reference(s)
39-Galerie_CelestialMechanics.FV
14 reference(s)		40-DuModeleALImage.01.Fra
14 reference(s)
41-Commentaires_SystemeSolaire.01
14 reference(s)		42-Commentaires_NKleinBottle.02
14 reference(s)
43-Commentaires_DefinitionTransformeeDeFourier.01
14 reference(s)		44-catalogue.11
13 reference(s)
45-MathematiquesPhysiqueFractales.01
13 reference(s)		46-ManyChaos.01.Ang
13 reference(s)
47-ImpossibleStructures.01.Ang
13 reference(s)		48-Galerie_SignalProcessing.FV
13 reference(s)
49-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
13 reference(s)		50-Commentaires_Tore.01
13 reference(s)
51-Commentaires_KleinBottle.01
13 reference(s)		52-Commentaires_DefinitionComplexes.01
13 reference(s)
53-AvantPropos.01.Fra
13 reference(s)		54-An2000.05.Fra
13 reference(s)
55-An2000.04.Fra
13 reference(s)		56-AVirtualSpaceTimeTravelMachine.Fra.FV
13 reference(s)
57-create.03.
12 reference(s)		58-VisSci_SciVis.01
12 reference(s)
59-Informations_AboutPicturesAnimationsAndFiles.01.Fra
12 reference(s)		60-Galerie_NewPictures.DIAPO.0002
12 reference(s)
61-Galerie_NewPictures
12 reference(s)		62-Galerie_DeterministicChaos
12 reference(s)
63-Galerie_Astrophysics.DIAPO.0003
12 reference(s)		64-Galerie_Astrophysics.DIAPO.0002
12 reference(s)
65-ExpV_VirE.Fra
12 reference(s)		66-Commentaires_JeenerMobiusManifold.02
12 reference(s)
67-ArtScience.11.Fra
12 reference(s)		68-ArtOrdinateur.01
12 reference(s)
69-AnimFractal.01.
12 reference(s)		70-AVirtualSpaceTimeTravelMachine.Ang.FV
12 reference(s)
71-Vcatalogue.11
11 reference(s)		72-ScienceEtVirtuel.01.Fra
11 reference(s)
73-PatrimoineHumanite.02.Fra
11 reference(s)		74-ImpossibleStructures.01.Fra
11 reference(s)
75-Galerie_NumberTheory.DIAPO.0005
11 reference(s)		76-Galerie_NumberTheory.DIAPO.0002
11 reference(s)
77-Galerie_NumberTheory.DIAPO.0001
11 reference(s)		78-Galerie_NewPictures.FV
11 reference(s)
79-Galerie_DeterministicChaos.FV
11 reference(s)		80-Galerie_ArtAndScience.FV
11 reference(s)
81-Galerie_ArtAndScience.DIAPO.0001
11 reference(s)		82-Galerie_AnthropomorphicPatterns.DIAPO.0001
11 reference(s)
83-ExpV_VirE.Ang
11 reference(s)		84-ExpV_VirE.21
11 reference(s)
85-ExpV_VirE.01.Fra
11 reference(s)		86-Commentaires_RacinesTroisiemesUniteComplexes.01
11 reference(s)
87-Commentaires_NKleinBottle.01
11 reference(s)		88-Commentaires_ModeleIsingTriDimensionnel.01
11 reference(s)
89-Commentaires_ModeleIsingBiDimensionnel.01
11 reference(s)		90-ArtScience.01
11 reference(s)
91-An2000.03.Fra
11 reference(s)		92-real.01.vv.
10 reference(s)
93-infinity.01.vv
10 reference(s)		94-VisitesGaleriesEnfouies.01.Fra
10 reference(s)
95-RealNumbers.01.Fra
10 reference(s)		96-MonumentValley.01.Fra
10 reference(s)
97-MathematiquesEtCinematographe.01.vv
10 reference(s)		98-LOG_xiMc.11
10 reference(s)
99-IllusionConnaissance.01
10 reference(s)		100-Galerie_TextureSynthesis.FV
10 reference(s)
101-Galerie_ParticleSystems.DIAPO.0001
10 reference(s)		102-Galerie_NewPictures.DIAPO.0001
10 reference(s)
103-Galerie_GeneralitiesVisualization
10 reference(s)		104-Galerie_BestOf.FV
10 reference(s)
105-Galerie_BestOf
10 reference(s)		106-Galerie_Astrophysics.FV
10 reference(s)
107-ExpV_VirE.01.Ang
10 reference(s)		108-DuReelAuVirtuel.01.Fra
10 reference(s)
109-Commentaires_StructuresVivantesRecursives.01
10 reference(s)		110-Commentaires_Sphere.01
10 reference(s)
111-Commentaires_ProblemeDesNCorps.01
10 reference(s)		112-Commentaires_KleinBottle.02
10 reference(s)
113-Commentaires_DoubleJeenerBottle.01
10 reference(s)		114-hydrogene.61.K.
9 reference(s)
115-VirtualChaos.01.Ang
9 reference(s)		116-MathematiquesPhysiqueInformatiqueImages.01.Fra
9 reference(s)
117-Galeries.01.vv
9 reference(s)		118-Galerie_SensitivityToRoundingOffErrors.FV
9 reference(s)
119-Galerie_QuantumMechanics
9 reference(s)		120-Galerie_NumberTheory.DIAPO.0007
9 reference(s)
121-Galerie_NumberTheory
9 reference(s)		122-Galerie_GeneralitiesVisualization.DIAPO.0001
9 reference(s)
123-Galerie_CelestialMechanics
9 reference(s)		124-Galerie_ArtisticCreation.DIAPO.0001
9 reference(s)
125-EnsembleDesGaleries.DIAPO.0001
9 reference(s)		126-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
9 reference(s)
127-Commentaires_SurfaceDeBoy.01
9 reference(s)		128-Commentaires_RacinesNIemesUniteComplexes.01
9 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.