Monthly Best Of on 05/28/2009




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 05/28/2009 and last updated on 10/03/2024 17:01:48 -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
1-554 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-263 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
3-191 reference(s)		Quark and gluon structure of a nucleon
4-173 reference(s)
Autostereogram with an hidden volcano
5-171 reference(s)		The Lorenz attractor
6-142 reference(s)		Welcome aboard a Virtual Space-Time Travel Machine
7-134 reference(s)		Autostereogram with an hidden volcano
8-111 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
9-105 reference(s)		Hypercube
10-102 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
11-98 reference(s)		Quark and gluon structure of a nucleon
12-97 reference(s)
Artistic view of the prime numbers
13-95 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
14-92 reference(s)		From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
15-92 reference(s)		Particles in a bidimensional box submitted to an attractive central field of gravity
16-91 reference(s)
The random walk of photons escaping the Sun
17-83 reference(s)		Mountains at sunrise
18-83 reference(s)		Quark and gluon dynamics of the nucleon
19-80 reference(s)		Happy new year 2000
20-76 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
21-75 reference(s)		Intertwining
22-72 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
23-72 reference(s)		Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
24-67 reference(s)
Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
25-66 reference(s)		Autostereogram with an hidden ring and ghost bows
26-64 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
27-64 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
28-63 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
29-60 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
30-56 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
31-53 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
32-52 reference(s)
The Jeener-Klein quintuple bottle
33-52 reference(s)		Along the border of the Mandelbrot set
34-50 reference(s)		Fractal synthesis of mountains with vegetation and stormy clouds
35-50 reference(s)		From Pluto to the Sun (non linear scales)
36-50 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
37-50 reference(s)		Autostereogram with an hidden volcano
38-47 reference(s)		The Eratosthene sieve displaying 100x100 numbers
39-47 reference(s)		Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
40-47 reference(s)
Black dots (inside random white squares)on a square lattice
41-47 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
42-46 reference(s)		Animation of a sunrise on mountains
43-46 reference(s)		Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
44-45 reference(s)
The Scream -a Tribute to Edvard Munch-
45-45 reference(s)		The generalized Ulam spiral displaying 100 numbers
46-44 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
47-43 reference(s)		The Birth of the Universe
48-43 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
49-43 reference(s)		Botticelli anomaly on the Moon
50-41 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
51-41 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0]
52-40 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
53-40 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
54-40 reference(s)		Autostereogram with an hidden volcano and an animated disguise texture
55-39 reference(s)		The generalized Ulam spiral displaying 1024 numbers
56-39 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
57-39 reference(s)		Electron diffraction
58-39 reference(s)		An Archimedes spiral displaying 1000 numbers
59-38 reference(s)		Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
60-38 reference(s)
Untitled 0119
61-37 reference(s)		Erosion of a set of four bidimensional random (with large scale correlations)islands
62-37 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
63-37 reference(s)		A quaternionic Julia set -tridimensional cross-section-
64-36 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)
65-35 reference(s)		A shell (Jeener surface 1)in motion
66-35 reference(s)		Rotation about the X axis of the Lorenz attractor
67-34 reference(s)		The random walk of photons escaping the Sun
68-33 reference(s)
Snowy multifractal mountains
69-33 reference(s)		The Jeener-Klein triple bottle
70-33 reference(s)		Artistic view of the Big Bang
71-32 reference(s)		Electron-positron scattering
72-32 reference(s)
The random walk of photons escaping the Sun
73-31 reference(s)		Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
74-31 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)
75-31 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-
76-31 reference(s)
Along the border of the Mandelbrot set
77-30 reference(s)		A 'double' interpolation between two intertwinings
78-30 reference(s)		Intertwining
79-30 reference(s)		Dynamics of the even distribution of 12 points on a sphere -an Icosahedron- by means of simulated annealing
80-30 reference(s)
Volcano
81-30 reference(s)		Rotation about X and Y axes of the Boy surface
82-29 reference(s)		Isotropic random walk of 4 particles on a bidimensional square lattice with display of their gravity center -white particle-
83-29 reference(s)		The Eratosthene sieve displaying 10x10 numbers
84-29 reference(s)
An arbitrary surface (Jeener surface 2)in motion
85-29 reference(s)		Extended life game
86-29 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 -close-up-
87-29 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
88-29 reference(s)
Recursive intertwining
89-28 reference(s)		Autostereogram with an hidden volcano
90-28 reference(s)		24 evenly distributed points on a sphere by means of simulated annealing
91-28 reference(s)		The foggy Earth planet
92-28 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
93-27 reference(s)		Alien
94-27 reference(s)		Cloud dynamics -this sequence being periodical- (bird's-eye view)
95-27 reference(s)		The Boy surface
96-26 reference(s)
A perfect bidimensional piston with following initial conditions: still piston, high temperature particles at left and low temperature particles at right, in a bidimensional box submitted to a vertical field of gravity
97-26 reference(s)		Quaternionic shell fossil
98-26 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-
99-26 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
100-26 reference(s)
An arbitrary surface (Jeener surface 2)in motion
101-26 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
102-26 reference(s)		Quantum vacuum fluctuations
103-25 reference(s)		Chessboard
104-25 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
105-25 reference(s)		A fractal surface (five iterations)defined by means of three bidimensional fields
106-25 reference(s)		The same bidimensional scalar field displayed with 4 different color palettes
107-25 reference(s)		Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
108-25 reference(s)
A pyramidal Menger Sponge computed by means of an 'Iterated Function System' -IFS-
109-25 reference(s)		Tridimensional heterogeneous fractal structure in a tridimensional torus
110-25 reference(s)		A shell (Jeener surface 1)
111-25 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
112-25 reference(s)
Rotation about the X axis of a tridimensional brownian motion
113-25 reference(s)		The first two iterations of the construction of the von Koch curve
114-24 reference(s)		Intertwining
115-24 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)
116-24 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
117-24 reference(s)		A bidimensional fern computed by means of an 'Iterated Function System' -IFS-
118-24 reference(s)		White Hole
119-24 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
120-23 reference(s)
Untitled 0118
121-23 reference(s)		Autostereogram with an hidden volcano
122-23 reference(s)		Grand Canyon (bird's-eye view)
123-23 reference(s)		Happy new year 2000
124-23 reference(s)
Zollner optical illusion
125-23 reference(s)		A bidimensional Sierpinski Carpet computed by means of an 'Iterated Function System' -IFS-
126-23 reference(s)		Psychedelic hypercube
127-23 reference(s)		Texture animation by means of the generalized Fourier filtering process
128-23 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
911 reference(s)		2-AVirtualSpaceTimeTravelMachine.Ang
487 reference(s)
3-An2000.01.Fra
385 reference(s)		4-Galerie_DeterministicFractalGeometry.FV
273 reference(s)
5-An2000.05.Fra
241 reference(s)		6-help.
227 reference(s)
7-Galerie_GeneralitiesVisualization.FV
198 reference(s)		8-Galerie_TextureSynthesis.FV
195 reference(s)
9-FloatingPointNumbers.01.Fra
190 reference(s)		10-SurfaceProjector.01.Ang
189 reference(s)
11-Galerie_ArtisticCreation.FV
178 reference(s)		12-FloatingPointNumbers.01.Ang
178 reference(s)
13-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
177 reference(s)		14-Autostereograms.01.
172 reference(s)
15-Fractal.01
169 reference(s)		16-AProposSite.01.Fra
169 reference(s)
17-AQuoiServentLesMathematiques.01
155 reference(s)		18-present.01.
153 reference(s)
19-Galerie_NumberTheory.FV
153 reference(s)		20-copyright.01.
149 reference(s)
21-Commentaires_DefinitionTransformeeDeFourier.01
146 reference(s)		22-Informations_AboutPicturesAnimationsAndFiles.01.Ang
144 reference(s)
23-mail.01.vv
142 reference(s)		24-Commentaires_NKleinBottle.01
142 reference(s)
25-catalogue.11
141 reference(s)		26-AVirtualSpaceTimeTravelMachine.Fra
141 reference(s)
27-ExpV_VirE.11
139 reference(s)		28-Vcatalogue.11
134 reference(s)
29-Galerie_ParticleSystems.FV
134 reference(s)		30-SurfaceProjector.01.Fra
132 reference(s)
31-Galerie_ArtAndScience.FV
131 reference(s)		32-AnimFractal.01.
128 reference(s)
33-ImagesDuVirtuel.01.Fra
125 reference(s)		34-GenieLogiciel.01.Fra
124 reference(s)
35-Stereogrammes_AutoStereogrammes.01
120 reference(s)		36-Galerie_TextureSynthesis.DIAPO.0156
120 reference(s)
37-AVirtualSpaceTimeTravelMachine.Ang.FV
120 reference(s)		38-Commentaires_SystemeSolaire.01
119 reference(s)
39-RealNumbers.01.Fra
117 reference(s)		40-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
116 reference(s)
41-Galerie_CelestialMechanics.FV
115 reference(s)		42-ExpV_VirE.Fra
114 reference(s)
43-ExpV_VirE.21
113 reference(s)		44-Galeries.01.vv
112 reference(s)
45-Galerie_NewPictures.FV
111 reference(s)		46-EntrelacsIntertwinings.01.Fra
109 reference(s)
47-EntrelacsIntertwinings.01.Ang
109 reference(s)		48-AQuoiServentLesMathematiques.03
107 reference(s)
49-Galerie_DeterministicChaos.FV
105 reference(s)		50-An2000.11.Fra
104 reference(s)
51-Kepler.02.
99 reference(s)		52-ImagesDuVirtuel.01.Fra.FV
97 reference(s)
53-AQuoiServentLesMathematiques.02
94 reference(s)		54-Commentaires_EspaceLyapunovComplexe.01
93 reference(s)
55-LOG_xiMc.11
91 reference(s)		56-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
91 reference(s)
57-Commentaires_DefinitionComplexes.01
89 reference(s)		58-Commentaires_ModeleIsingBiDimensionnel.01
88 reference(s)
59-AVirtualSpaceTimeTravelMachine.Fra.FV
87 reference(s)		60-MonodimensionalCellularAutomata.01.Fra
86 reference(s)
61-MathematiquesPhysiqueFractales.01
86 reference(s)		62-Galerie_SalonDAutomne
86 reference(s)
63-Galerie_QuantumMechanics.FV
85 reference(s)		64-Galerie_NewPictures
85 reference(s)
65-Galerie_QuantumMechanics
84 reference(s)		66-subject.01.
83 reference(s)
67-ManyChaos.01.Ang
83 reference(s)		68-Galerie_FluidMechanics.FV
83 reference(s)
69-Galerie_ArtisticCreation.DIAPO.0078
83 reference(s)		70-Informations_AboutPicturesAnimationsAndFiles.01.Fra
82 reference(s)
71-Galerie_Astrophysics.FV
81 reference(s)		72-EnsembleDesGaleries.DIAPO.0309
81 reference(s)
73-Commentaires_EnsembleMandelbrotComplexe.01
81 reference(s)		74-An2000.02.Fra
81 reference(s)
75-create.03.
80 reference(s)		76-Galerie_NewPictures.DIAPO.0026
80 reference(s)
77-Galerie_NewPictures.DIAPO.0019
80 reference(s)		78-ExpV_VirE.01.Fra
80 reference(s)
79-EnsembleDesGaleries.DIAPO.0308
80 reference(s)		80-Commentaires_DefinitionQuaternions.01
80 reference(s)
81-Galerie_NewPictures.DIAPO.0030
79 reference(s)		82-Galerie_BestOf.FV
79 reference(s)
83-EnsembleDesGaleries.DIAPO.0306
79 reference(s)		84-EnsembleDesGaleries.DIAPO.0305
79 reference(s)
85-EnsembleDesGaleries.DIAPO.0307
78 reference(s)		86-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
78 reference(s)
87-MonodimensionalCellularAutomata.01.Ang
77 reference(s)		88-Galerie_SignalProcessing.FV
77 reference(s)
89-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
77 reference(s)		90-EnsembleDesGaleries.DIAPO.0304
77 reference(s)
91-EnsembleDesGaleries.DIAPO.0302
77 reference(s)		92-Galerie_NewPictures.DIAPO.0022
76 reference(s)
93-Galerie_GeneralitiesVisualization.DIAPO.0037
76 reference(s)		94-Galerie_DeterministicFractalGeometry.DIAPO.0016
76 reference(s)
95-EnsembleDesGaleries.DIAPO.0312
76 reference(s)		96-EnsembleDesGaleries.DIAPO.0311
76 reference(s)
97-EnsembleDesGaleries.DIAPO.0303
76 reference(s)		98-ArtScience.11.Fra
76 reference(s)
99-MonumentValley.01.Fra
75 reference(s)		100-EnsembleDesGaleries.DIAPO.0310
75 reference(s)
101-Commentaires_EnsembleJuliaComplexe.01
75 reference(s)		102-VirtualChaos.01.Fra
74 reference(s)
103-Galerie_NewPictures.DIAPO.0028
74 reference(s)		104-Galerie_NewPictures.DIAPO.0023
74 reference(s)
105-Galerie_ArtisticCreation.DIAPO.0071
74 reference(s)		106-Commentaires_SurfaceDeBoy.01
74 reference(s)
107-ManyChaos.01.Fra
73 reference(s)		108-Galerie_QuantumMechanics.DIAPO.0002
73 reference(s)
109-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
73 reference(s)		110-FaireDeLaRecherche.01.vv
73 reference(s)
111-RemarquesCerveau.01
72 reference(s)		112-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0029
72 reference(s)
113-Galerie_NewPictures.DIAPO.0029
72 reference(s)		114-Galerie_NewPictures.DIAPO.0027
72 reference(s)
115-Galerie_NewPictures.DIAPO.0020
72 reference(s)		116-Galerie_ArtisticCreation.DIAPO.0048
72 reference(s)
117-Commentaires_ProblemeDesNAimants.01
72 reference(s)		118-An2000.01.Ang
72 reference(s)
119-demo_14.FV
71 reference(s)		120-Galerie_ParticleSystems.DIAPO.0027
71 reference(s)
121-Commentaires_ProblemeDesNCorps.01
71 reference(s)		122-AvantPropos.01.Ang
71 reference(s)
123-ArtScience.01
71 reference(s)		124-Informations_GoodNewsAndBadNews.01.Fra
70 reference(s)
125-Galerie_NewPictures.DIAPO.0025
70 reference(s)		126-Galerie_NewPictures.DIAPO.0021
70 reference(s)
127-Galerie_GeneralitiesVisualization.DIAPO.0053
70 reference(s)		128-Galerie_DeterministicChaos
70 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.