Monthly Best Of on 09/28/2008




Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-

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 09/28/2008 and last updated on 10/03/2024 17:01:39 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The foggy Babel Tower -a Tribute to Brueghel the Elder-
1-8172 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-1121 reference(s)		The random walk of photons escaping the Sun
3-778 reference(s)		Quaternionic lion with extended arithmetics
4-342 reference(s)
Quark and gluon structure of a nucleon
5-307 reference(s)		Quark and gluon dynamics of the nucleon
6-268 reference(s)		Hypercube
7-227 reference(s)		Black dots (inside random white squares)on a square lattice
8-209 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
9-181 reference(s)		Artistic view of the prime numbers
10-146 reference(s)		The random walk of photons escaping the Sun
11-143 reference(s)		Autostereogram with an hidden ring and ghost bows
12-112 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
13-108 reference(s)		Welcome aboard a Virtual Space-Time Travel Machine
14-104 reference(s)		The Lorenz attractor
15-100 reference(s)		Botticelli anomaly on the Moon
16-89 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
17-87 reference(s)		Quark and gluon structure of a nucleon
18-84 reference(s)		Quantum vacuum fluctuations
19-79 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
20-77 reference(s)
Mountains at sunrise
21-75 reference(s)		Artistic view of the Big Bang
22-74 reference(s)		Fractal synthesis of mountains with vegetation and stormy clouds
23-72 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
24-71 reference(s)
Autostereogram with an hidden volcano
25-70 reference(s)		From Pluto to the Sun
26-70 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
27-70 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)
28-69 reference(s)
Animation of a sunrise on mountains
29-67 reference(s)		The Birth of the Universe
30-67 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
31-65 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
32-63 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
33-62 reference(s)		From Pluto to the Sun -extrapolation 2- (non linear scales)
34-59 reference(s)		Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
35-59 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)
36-58 reference(s)
The Eratosthene sieve displaying 100x100 numbers
37-57 reference(s)		Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
38-56 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
39-54 reference(s)		Quantum vacuum fluctuation dynamics
40-52 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
41-52 reference(s)		From Pluto to the Sun (non linear scales)
42-51 reference(s)		The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
43-50 reference(s)		The Möbius strip
44-49 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
45-47 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
46-46 reference(s)		Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
47-46 reference(s)		Autostereogram with an hidden volcano
48-45 reference(s)
Rotation about the X axis of the Lorenz attractor
49-45 reference(s)		Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
50-45 reference(s)		Artistic view of a quadridimensional Calabi-Yau manifold
51-45 reference(s)		From Pluto to the Sun -extrapolation 1- (non linear scales)
52-44 reference(s)
Jean-François COLONNA (on 11/17/1994)with its fractal mountains
53-44 reference(s)		Bidimensional display of the integration of the Lorenz attractor system for 448500 different initial conditions
54-44 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
55-43 reference(s)		Cauliflowers, seaweeds, shells,... with fog
56-43 reference(s)
Texture animation by means of the Generalized Product
57-43 reference(s)		The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
58-42 reference(s)		Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
59-42 reference(s)		The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
60-41 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
61-41 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)
62-41 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
63-40 reference(s)		Animation of a quaternionic Julia island
64-39 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
65-39 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-
66-39 reference(s)		The set of bidimensional fields defining the 'X' coordinate of a dynamic 'crumpled' Klein bottle
67-38 reference(s)		The tridimensional field defining the three coordinates of the Jeener-Möbius tridimensional manifold
68-38 reference(s)
Real numbers do not exist for a computer
69-38 reference(s)		Earthquake with multifractal mountains
70-38 reference(s)		Electron diffraction
71-38 reference(s)		Along the border of the Mandelbrot set
72-37 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
73-37 reference(s)		Dynamics of the even distribution of 8 points on a sphere by means of simulated annealing
74-37 reference(s)		The random walk of photons escaping the Sun
75-36 reference(s)		Rotation about X and Y axes of the Boy surface
76-36 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
77-36 reference(s)		A dynamic 'crumpled' Klein bottle defined by means of three sets of bidimensional fields
78-36 reference(s)		From the infinitely small to the infinitely big
79-36 reference(s)		The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
80-35 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
81-35 reference(s)		Dynamics of a bidimensional fractal structure
82-35 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
83-34 reference(s)		Bidimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to a vertical field of gravity
84-34 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
85-34 reference(s)		Alien
86-34 reference(s)		Psychedelic hypercube
87-34 reference(s)		Electron-positron scattering
88-34 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
89-34 reference(s)		Self-transformation of a simple dynamical geometric texture
90-33 reference(s)		7-foil torus knots
91-33 reference(s)		Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
92-33 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
93-32 reference(s)		The numerical irreversibility of the bidimensional billiard
94-32 reference(s)		The tridimensional field defining the 'X' coordinate of a tridimensional Möbius-like manifold
95-32 reference(s)		The Scream -a Tribute to Edvard Munch-
96-32 reference(s)
The generalized Ulam spiral displaying 100 numbers
97-32 reference(s)		Erosion in Monument Valley with fog
98-32 reference(s)		N-body problem integration (N=9)with a simultaneous 2.pi rotation of the observer
99-32 reference(s)		16 complex Julia sets
100-32 reference(s)
White Hole
101-32 reference(s)		Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
102-32 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
103-31 reference(s)		Particle collisions without energy loss in a tridimensional space with display of the velocity histogram
104-31 reference(s)
Fractal diffusion front in a bidimensional medium obtained by means of identical interacting particles
105-31 reference(s)		Bidimensional abstract texture with random anthropomorphic patterns
106-31 reference(s)		Tridimensional texture animation by means of the Generalized Product
107-31 reference(s)		From Pluto to the Sun -extrapolation 3- (linear scales)
108-31 reference(s)
Tridimensional zoom in on the Mandelbrot set
109-31 reference(s)		Rotation about the X axis of a tridimensional brownian motion
110-31 reference(s)		Double bidimensional rectangular billiard with 64 isotropic particles and with collisions
111-30 reference(s)		Mountains and cloud dynamics -this sequence being periodical-
112-30 reference(s)
2 identical grey squares moving over a grey scale
113-30 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
114-30 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)
115-30 reference(s)		A quaternionic Julia set -tridimensional cross-section-
116-30 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
117-30 reference(s)		Fractal diffusion front in a bidimensional medium obtained by means of a random walk process
118-30 reference(s)		The evolution of the Klein bottle using the Lorenz attractor
119-30 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0]
120-29 reference(s)
Bidimensional geometrical texture animation
121-29 reference(s)		Intertwining
122-29 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
123-29 reference(s)		26 evenly distributed points on a sphere by means of simulated annealing displayed after a (0,0,1)sphere inversion
124-29 reference(s)
The tridimensional field defining the three coordinates of a tridimensional Möbius-like manifold
125-29 reference(s)		A 'spiraling plane' defined by means of three bidimensional fields
126-29 reference(s)		Texture animation by means of the Generalized Product
127-29 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -gravity center of the 9 planets point of view-
128-29 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
1204 reference(s)		2-relativity.01.
412 reference(s)
3-AVirtualSpaceTimeTravelMachine.Ang
375 reference(s)		4-An2000.01.Fra
332 reference(s)
5-help.
237 reference(s)		6-Galerie_GeneralitiesVisualization.FV
202 reference(s)
7-SurfaceProjector.01.Ang
199 reference(s)		8-AQuoiServentLesMathematiques.01
199 reference(s)
9-Galerie_Astrophysics.DIAPO.0001
195 reference(s)		10-FloatingPointNumbers.01.Fra
190 reference(s)
11-ImagesDuVirtuel.01.Fra
188 reference(s)		12-Fractal.01
187 reference(s)
13-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
183 reference(s)		14-Galerie_DeterministicFractalGeometry.FV
176 reference(s)
15-Galerie_ParticleSystems.FV
174 reference(s)		16-ExpV_VirE.11
166 reference(s)
17-AVirtualSpaceTimeTravelMachine.Fra
166 reference(s)		18-FloatingPointNumbers.01.Ang
164 reference(s)
19-Galerie_NumberTheory.FV
163 reference(s)		20-GenieLogiciel.01.Fra
162 reference(s)
21-Galerie_QuantumMechanics.FV
161 reference(s)		22-Autostereograms.01.
160 reference(s)
23-RealNumbers.01.Fra
158 reference(s)		24-copyright.01.
155 reference(s)
25-Informations_AboutPicturesAnimationsAndFiles.01.Ang
155 reference(s)		26-AProposSite.01.Fra
151 reference(s)
27-Galerie_ArtisticCreation.FV
150 reference(s)		28-Kepler.02.
143 reference(s)
29-Galerie_ArtAndScience.FV
134 reference(s)		30-present.01.
132 reference(s)
31-Galerie_SignalProcessing.FV
132 reference(s)		32-AnimFractal.01.
131 reference(s)
33-ImagesDuVirtuel.01.Fra.FV
129 reference(s)		34-Stereogrammes_AutoStereogrammes.01
128 reference(s)
35-Galerie_NewPictures.FV
126 reference(s)		36-AQuoiServentLesMathematiques.03
126 reference(s)
37-Galerie_TextureSynthesis.FV
125 reference(s)		38-Galerie_CelestialMechanics.FV
124 reference(s)
39-mail.01.vv
123 reference(s)		40-demo_14.FV
123 reference(s)
41-Galerie_DeterministicChaos.FV
123 reference(s)		42-ExpV_VirE.21
122 reference(s)
43-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
122 reference(s)		44-Commentaires_SystemeSolaire.01
121 reference(s)
45-Commentaires_DefinitionTransformeeDeFourier.01
121 reference(s)		46-ExpV_VirE.Fra
118 reference(s)
47-Commentaires_DefinitionComplexes.01
118 reference(s)		48-SurfaceProjector.01.Fra
116 reference(s)
49-AVirtualSpaceTimeTravelMachine.Fra.FV
116 reference(s)		50-MathematiquesPhysiqueFractales.01
115 reference(s)
51-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
115 reference(s)		52-Commentaires_NKleinBottle.01
114 reference(s)
53-AvantPropos.01.Ang
114 reference(s)		54-ManyChaos.01.Ang
111 reference(s)
55-ArtScience.11.Fra
111 reference(s)		56-infinity.02.vv
110 reference(s)
57-ArtOrdinateur.01
109 reference(s)		58-Galerie_CelestialMechanics
108 reference(s)
59-Vcatalogue.11
107 reference(s)		60-Informations_AboutPicturesAnimationsAndFiles.01.Fra
107 reference(s)
61-AVirtualSpaceTimeTravelMachine.Ang.FV
107 reference(s)		62-MonumentValley.01.Fra
106 reference(s)
63-EnsembleDesGaleries.DIAPO.0001
106 reference(s)		64-Galerie_DeterministicChaos
105 reference(s)
65-VirtualChaos.01.Fra
104 reference(s)		66-Galeries.01.vv
103 reference(s)
67-Galerie_QuantumMechanics
103 reference(s)		68-Galerie_Astrophysics.DIAPO.0002
103 reference(s)
69-Commentaires_Tore.01
103 reference(s)		70-An2000.05.Fra
103 reference(s)
71-Commentaires_EnsembleMandelbrotComplexe.01
102 reference(s)		72-RemarquesCerveau.01
101 reference(s)
73-ExpV_VirE.01.Fra
101 reference(s)		74-Commentaires_RacinesNIemesUniteComplexes.01
101 reference(s)
75-VisSci_SciVis.01
100 reference(s)		76-Galerie_QuantumMechanics.DIAPO.0001
100 reference(s)
77-Commentaires_NKleinBottle.02
100 reference(s)		78-Commentaires_ModeleIsingBiDimensionnel.01
100 reference(s)
79-Commentaires_DefinitionQuaternions.01
100 reference(s)		80-ArtScience.01
100 reference(s)
81-An2000.04.Fra
100 reference(s)		82-An2000.01.Ang
100 reference(s)
83-Commentaires_EnsembleMandelbrotQuaternion.01
99 reference(s)		84-VisitesGaleriesEnfouies.01.Ang
98 reference(s)
85-MonumentValley.01.Ang
98 reference(s)		86-Informations_GoodNewsAndBadNews.01.Fra
98 reference(s)
87-Galerie_DeterministicFractalGeometry.DIAPO.0001
98 reference(s)		88-Galerie_ArtAndScience.DIAPO.0001
98 reference(s)
89-ExpV_VirE.Ang
98 reference(s)		90-An2000.02.Fra
98 reference(s)
91-AQuoiServentLesMathematiques.02
98 reference(s)		92-real.01.vv.
97 reference(s)
93-FaireDeLaRecherche.01.vv
97 reference(s)		94-An2000.06.Fra
97 reference(s)
95-Galerie_ParticleSystems
96 reference(s)		96-Galerie_FluidMechanics.FV
96 reference(s)
97-Galerie_ArtAndScience.DIAPO.0051
96 reference(s)		98-VirtualChaos.01.Ang
95 reference(s)
99-ImpossibleStructures.01.Ang
95 reference(s)		100-Galerie_BestOf.FV
95 reference(s)
101-DuModeleALImage.01.Fra
95 reference(s)		102-Commentaires_EspaceLyapunovComplexe.01
95 reference(s)
103-PatrimoineHumanite.02.Fra
94 reference(s)		104-Galerie_SensitivityToRoundingOffErrors.FV
94 reference(s)
105-Galerie_NewPictures.DIAPO.0001
94 reference(s)		106-Galerie_CollaborativeWorks.
94 reference(s)
107-ExpV_VirE.01.Ang
94 reference(s)		108-Commentaires_SurfaceDeBoy.01
94 reference(s)
109-Commentaires_ProblemeDesNAimants.01
94 reference(s)		110-VisSci_SciVis.02
93 reference(s)
111-Galerie_FluidMechanics.DIAPO.0001
93 reference(s)		112-Commentaires_KleinBottle.01
93 reference(s)
113-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
93 reference(s)		114-An2000.03.Fra
93 reference(s)
115-subject.01.
92 reference(s)		116-create.03.
92 reference(s)
117-Spheres.01
92 reference(s)		118-Galerie_SalonDAutomne.FV
92 reference(s)
119-Galerie_GeneralitiesVisualization
92 reference(s)		120-Commentaires_KleinBottle.02
92 reference(s)
121-Galerie_NumberTheory.DIAPO.0001
91 reference(s)		122-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
91 reference(s)
123-Galerie_NewPictures
91 reference(s)		124-Galerie_ArtisticCreation.DIAPO.0001
91 reference(s)
125-ArtScience.11.Ang.DIAPO.0001
91 reference(s)		126-infinity.01.vv
90 reference(s)
127-Galerie_DeterministicFractalGeometry
90 reference(s)		128-Commentaires_Sphere.01
90 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.