Monthly Best Of on 12/28/2007




A pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0) -tridimensional cross-section-

Jean-François COLONNA
[Contact me]

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 12/28/2007 and last updated on 10/03/2024 17:01:31 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Bidimensional abstract texture with random anthropomorphic patterns
1-1009 reference(s)		Black dots (inside random white squares)on a square lattice
2-806 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-589 reference(s)		Hypercube
4-551 reference(s)
The random walk of photons escaping the Sun
5-479 reference(s)		Quark and gluon structure of a nucleon
6-335 reference(s)		LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
7-329 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
8-277 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
9-276 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
10-269 reference(s)		The Möbius strip
11-268 reference(s)		From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
12-267 reference(s)
The random walk of photons escaping the Sun
13-266 reference(s)		Artistic view of the prime numbers
14-262 reference(s)		Quantum vacuum fluctuations
15-260 reference(s)		Animation of a sunrise on mountains
16-257 reference(s)
From Pluto to the Sun -extrapolation 2- (non linear scales)
17-247 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)
18-245 reference(s)		Welcome aboard a Virtual Space-Time Travel Machine
19-245 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
20-240 reference(s)
Artistic view of the Big Bang
21-238 reference(s)		Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
22-235 reference(s)		Along the border of the Mandelbrot set
23-232 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
24-231 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
25-230 reference(s)		The Lorenz attractor
26-224 reference(s)		Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
27-218 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
28-204 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
29-204 reference(s)		Rotation about the X axis of the Lorenz attractor
30-203 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
31-196 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
32-196 reference(s)
The Birth of the Universe
33-191 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
34-184 reference(s)		Quark and gluon dynamics of the nucleon
35-181 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
36-181 reference(s)
The numerical irreversibility of the bidimensional billiard
37-180 reference(s)		Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
38-175 reference(s)		Rotation about the X axis of the Lorenz attractor (1000 iterations), computed simultaneously on two different computers
39-174 reference(s)		The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
40-174 reference(s)
Isotropic random walk of 64 particles on a tridimensional square lattice
41-171 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
42-170 reference(s)		From Pluto to the Sun (non linear scales)
43-169 reference(s)		2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
44-168 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
45-163 reference(s)		Autostereogram with an hidden ring and ghost bows
46-162 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)
47-162 reference(s)		Animation of bidimensional textures by means of the self-transformation of a fractal process
48-160 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
49-160 reference(s)		Rotation about the X axis of the Lorenz attractor
50-159 reference(s)		Earthquake
51-157 reference(s)		Autostereogram with an hidden volcano
52-154 reference(s)
World Mathematical Year 2000
53-153 reference(s)		The Scream -a Tribute to Edvard Munch-
54-153 reference(s)		2.pi rotation about the Y axis of a quaternionic Julia set with motion blur -tridimensional cross-section-
55-153 reference(s)		16 earth-like planets initially on the same keplerian trajectory
56-152 reference(s)
Bidimensional zoom in on the Verhulst dynamics
57-152 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
58-152 reference(s)		Self-transformation of a simple dynamical geometric texture
59-151 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
60-150 reference(s)
Autostereogram with an hidden volcano
61-149 reference(s)		Synthesis of tridimensional symmetrical geometrical textures
62-149 reference(s)		N-body problem integration (N=2)displaying a perfect Keplerian orbit
63-149 reference(s)		Spreading of an epidemic -color changes by means of contacts-
64-147 reference(s)
The iterative process used to generate bidimensional fractal fields (16 iterations)
65-144 reference(s)		Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
66-144 reference(s)		Quark and gluon structure of a nucleon
67-142 reference(s)		The tridimensional field defining the 'Z' coordinate of a tridimensional twisted torus-like manifold
68-140 reference(s)
The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
69-136 reference(s)		Self-transformation of a simple dynamical geometric texture
70-135 reference(s)		Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
71-135 reference(s)		From the infinitely small to the infinitely big
72-135 reference(s)
Computation of the roots of Q^3=1 using Newton's method with translation along the third axis of the quaternionic space
73-134 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)
74-134 reference(s)		Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
75-134 reference(s)		Expansion of a gas inside a bidimensional circular box with display of velocity histograms
76-133 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
77-133 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
78-133 reference(s)		Animation of a natural form
79-132 reference(s)		24 evenly distributed points on a sphere by means of simulated annealing
80-130 reference(s)
Bidimensional fractal aggregates obtained by means of pasting during collisions with display of the velocity histogram
81-129 reference(s)		Artistic view of a quadridimensional Calabi-Yau manifold
82-129 reference(s)		The generalized Ulam spiral displaying 100 numbers
83-128 reference(s)		Bidimensional domino effect
84-125 reference(s)
A shell (Jeener surface 1)in motion
85-124 reference(s)		Cauliflowers, seaweeds, shells,... with fog
86-123 reference(s)		The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
87-122 reference(s)		A Tribute to Archimedes
88-122 reference(s)
White Hole
89-122 reference(s)		Tridimensional fractal structure
90-121 reference(s)		Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
91-118 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-
92-117 reference(s)
From Pluto to the Sun -extrapolation 1- (non linear scales)
93-117 reference(s)		The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
94-117 reference(s)		Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
95-117 reference(s)		The random walk of photons escaping the Sun
96-116 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
97-115 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)
98-113 reference(s)		The bottom of the sea
99-113 reference(s)		Along the border of the Mandelbrot set
100-112 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
101-112 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
102-112 reference(s)		Botticelli anomaly on the Moon
103-111 reference(s)		Two multiplexed autostereograms by means of a pi/2 rotation
104-110 reference(s)
Animation of a quaternionic Julia island
105-110 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
106-110 reference(s)		An Archimedes spiral displaying 1000 numbers
107-109 reference(s)		The non linear transformation of the coordinates in the Solar System
108-108 reference(s)
Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus
109-108 reference(s)		A Lissajous surface
110-107 reference(s)		Periodical earthquake with multifractal mountains
111-107 reference(s)		A variable Archimedes spiral displaying 1000 numbers
112-105 reference(s)
Intertwining based on the geometry of the sphere
113-105 reference(s)		16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
114-104 reference(s)		'There is a war' -a Tribute to Leonard Cohen-
115-104 reference(s)		Texture animation by means of the generalized Fourier filtering process
116-104 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
117-104 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
118-103 reference(s)		Quantum vacuum fluctuation dynamics
119-101 reference(s)		The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
120-101 reference(s)
An interpolation between the Möbius strip and a 'double sphere' defined by means of three sets of bidimensional fields
121-100 reference(s)		Synthesis of bidimensional textures by means of the self-transformation of a fractal process
122-100 reference(s)		The Eratosthene sieve displaying 100x100 numbers
123-100 reference(s)		Tridimensional zoom in on the Mandelbrot set
124-100 reference(s)
The normal field of a fractal surface defined by means of three bidimensional fields
125-99 reference(s)		A quaternionic Julia set -tridimensional cross-section-
126-99 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
127-98 reference(s)		Particle collisions without energy loss in a tridimensional space with display of the velocity histogram
128-97 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
1678 reference(s)		2-AVirtualSpaceTimeTravelMachine.Ang
970 reference(s)
3-An2000.01.Fra
851 reference(s)		4-help.
520 reference(s)
5-Galerie_GeneralitiesVisualization.FV
401 reference(s)		6-Fractal.01
389 reference(s)
7-ImagesDuVirtuel.01.Fra
373 reference(s)		8-ImagesDuVirtuel.01.Fra.FV
361 reference(s)
9-FloatingPointNumbers.01.Fra
357 reference(s)		10-Stereogrammes_AutoStereogrammes.01
347 reference(s)
11-copyright.01.
330 reference(s)		12-Autostereograms.01.
330 reference(s)
13-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
327 reference(s)		14-Galerie_NumberTheory.FV
312 reference(s)
15-Galerie_ArtisticCreation.FV
311 reference(s)		16-subject.01.
308 reference(s)
17-AVirtualSpaceTimeTravelMachine.Fra
308 reference(s)		18-ExpV_VirE.11
305 reference(s)
19-AQuoiServentLesMathematiques.01
304 reference(s)		20-Galerie_Astrophysics.DIAPO.0001
290 reference(s)
21-mail.01.vv
278 reference(s)		22-FloatingPointNumbers.01.Ang
276 reference(s)
23-present.01.
274 reference(s)		24-GenieLogiciel.01.Fra
273 reference(s)
25-Informations_AboutPicturesAnimationsAndFiles.01.Ang
261 reference(s)		26-Galerie_DeterministicFractalGeometry.FV
256 reference(s)
27-ExpV_VirE.21
253 reference(s)		28-Galerie_QuantumMechanics.FV
251 reference(s)
29-AProposSite.01.Fra
247 reference(s)		30-SurfaceProjector.01.Fra
245 reference(s)
31-SurfaceProjector.01.Ang
239 reference(s)		32-ExpV_VirE.Fra
235 reference(s)
33-RealNumbers.01.Fra
232 reference(s)		34-AnimFractal.01.
229 reference(s)
35-Galerie_ArtAndScience.FV
227 reference(s)		36-demo_14.FV
225 reference(s)
37-create.03.
225 reference(s)		38-Galerie_CelestialMechanics.FV
224 reference(s)
39-Galerie_TextureSynthesis.FV
219 reference(s)		40-VisSci_SciVis.01
218 reference(s)
41-VisSci_SciVis.02
217 reference(s)		42-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
214 reference(s)
43-Galerie_DeterministicChaos.FV
211 reference(s)		44-Galerie_ParticleSystems.FV
210 reference(s)
45-Commentaires_DefinitionTransformeeDeFourier.01
208 reference(s)		46-AVirtualSpaceTimeTravelMachine.Ang.FV
208 reference(s)
47-EnsembleDesGaleries.DIAPO.0001
205 reference(s)		48-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
204 reference(s)
49-catalogue.11
202 reference(s)		50-avirtualspacetimetravelmachine.ang
202 reference(s)
51-ArtScience.11.Fra
199 reference(s)		52-infinity.01.vv
196 reference(s)
53-ExpV_VirE.Ang
195 reference(s)		54-AVirtualSpaceTimeTravelMachine.Fra.FV
195 reference(s)
55-Informations_GoodNewsAndBadNews.01.Fra
192 reference(s)		56-Galerie_NewPictures.FV
192 reference(s)
57-ExpV_VirE.01.Fra
191 reference(s)		58-LOG_xiMc.11
190 reference(s)
59-Galerie_Astrophysics.DIAPO.0002
184 reference(s)		60-An2000.02.Fra
184 reference(s)
61-Commentaires_EspaceLyapunovComplexe.01
182 reference(s)		62-Commentaires_DefinitionQuaternions.01
180 reference(s)
63-ManyChaos.01.Fra
178 reference(s)		64-Commentaires_SystemeSolaire.01
178 reference(s)
65-Kepler.02.
177 reference(s)		66-Informations_AboutPicturesAnimationsAndFiles.01.Fra
177 reference(s)
67-AvantPropos.01.Ang
176 reference(s)		68-VirtualChaos.01.Fra
173 reference(s)
69-Commentaires_DefinitionComplexes.01
173 reference(s)		70-Commentaires_NKleinBottle.01
172 reference(s)
71-Galerie_SignalProcessing.FV
170 reference(s)		72-MathematiquesPhysiqueFractales.01
169 reference(s)
73-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
168 reference(s)		74-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
167 reference(s)
75-Vcatalogue.11
165 reference(s)		76-An2000.05.Fra
165 reference(s)
77-ArtOrdinateur.01
164 reference(s)		78-DuModeleALImage.01.Fra
163 reference(s)
79-An2000.06.Fra
161 reference(s)		80-AQuoiServentLesMathematiques.03
161 reference(s)
81-EnsembleDesGaleries.DIAPO.0038
157 reference(s)		82-Galerie_NewPictures.DIAPO.0001
156 reference(s)
83-An2000.01.Ang
156 reference(s)		84-Galerie_SensitivityToRoundingOffErrors.FV
154 reference(s)
85-An2000.04.Fra
154 reference(s)		86-Galerie_DeterministicChaos
153 reference(s)
87-Galerie_FluidMechanics.FV
152 reference(s)		88-Galerie_Astrophysics.DIAPO.0003
152 reference(s)
89-FaireDeLaRecherche.01.vv
151 reference(s)		90-Commentaires_EnsembleMandelbrotComplexe.01
151 reference(s)
91-Galerie_QuantumMechanics
149 reference(s)		92-Galerie_CelestialMechanics
146 reference(s)
93-Commentaires_RacinesTroisiemesUniteComplexes.01
146 reference(s)		94-RemarquesCerveau.01
145 reference(s)
95-Galerie_TextureSynthesis
145 reference(s)		96-Galerie_FluidMechanics.DIAPO.0001
145 reference(s)
97-Galerie_DeterministicFractalGeometry.DIAPO.0001
145 reference(s)		98-Commentaires_ModeleIsingBiDimensionnel.01
145 reference(s)
99-An2000.11.Fra
145 reference(s)		100-Galerie_Astrophysics.FV
144 reference(s)
101-Commentaires_SurfaceDeBoy.01
144 reference(s)		102-Commentaires_RacinesNIemesUniteComplexes.01
144 reference(s)
103-ArtScience.01
144 reference(s)		104-Galeries.01.vv
143 reference(s)
105-Galerie_SalonDAutomne.FV
143 reference(s)		106-Galerie_CollaborativeWorks..FV
143 reference(s)
107-ExpV_VirE.01.Ang
143 reference(s)		108-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
143 reference(s)
109-MonumentValley.01.Fra
142 reference(s)		110-AQuoiServentLesMathematiques.02
141 reference(s)
111-ImpossibleStructures.01.Ang
140 reference(s)		112-Galerie_GeneralitiesVisualization
140 reference(s)
113-Commentaires_ProblemeDesNCorps.01
140 reference(s)		114-Galerie_QuantumMechanics.DIAPO.0001
138 reference(s)
115-Galerie_BestOf.FV
138 reference(s)		116-Spheres.01
136 reference(s)
117-MonumentValley.01.Ang
136 reference(s)		118-Galerie_NewPictures
136 reference(s)
119-Commentaires_KleinBottle.01
136 reference(s)		120-ManyChaos.01.Ang
135 reference(s)
121-VirtualChaos.01.Ang
134 reference(s)		122-Galerie_BestOf.DIAPO.0001
133 reference(s)
123-AvantPropos.01.Fra
133 reference(s)		124-stereogra.01.c.
132 reference(s)
125-Commentaires_EnsembleJuliaComplexe.01
132 reference(s)		126-hydrogene.61.K.
131 reference(s)
127-PerteDeLAssociativite.01
131 reference(s)		128-Commentaires_ProblemeDesNAimants.01
131 reference(s)

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




Copyright © Jean-François COLONNA, 2007-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2007-2024.