Monthly Best Of on 08/28/2013




A pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0) with 20 iterations -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 08/28/2013 and last updated on 10/03/2024 17:02:39 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Happy new year 2000
1-226 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
2-206 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
3-201 reference(s)		The generalized Ulam spiral
4-177 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
5-155 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
6-141 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
7-131 reference(s)		Artistic view of the prime numbers
8-120 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
9-107 reference(s)		The random walk of photons escaping the Sun
10-97 reference(s)		Zoom in on the von Koch curve
11-91 reference(s)		The tridimensional Ising Model with 2-state spins, temperature=0.2, random initial conditions and an increasing number of iterations -from 100 to 4000-
12-85 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
13-84 reference(s)		Autostereogram with an hidden volcano
14-83 reference(s)		The random walk of photons escaping the Sun
15-75 reference(s)		The Jeener-Klein triple bottle
16-72 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
17-72 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
18-71 reference(s)		Tridimensional Hilbert Curve -iteration 3-
19-68 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
20-65 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
21-65 reference(s)		Quantum vacuum fluctuations
22-63 reference(s)		Autostereogram with an hidden volcano
23-63 reference(s)		Autostereogram with an hidden ring and ghost bows
24-63 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
25-63 reference(s)		Monument Valley à la David Hockney
26-62 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
27-61 reference(s)		Autostereogram with an hidden volcano
28-61 reference(s)
Autostereogram with an hidden volcano
29-58 reference(s)		The Scream -a Tribute to Edvard Munch-
30-58 reference(s)		The Syracuse conjecture for U(0)={5,6,7,8,...,20} -polar coordinates display-
31-53 reference(s)		Untitled 0155 -a Tribute to Yves Tanguy-
32-53 reference(s)
The Lorenz attractor
33-52 reference(s)		From Pluto to the Sun (non linear scales)
34-51 reference(s)		Quark and gluon structure of a nucleon
35-49 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
36-49 reference(s)
True colors autostereogram of a fractal landscape
37-48 reference(s)		Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
38-47 reference(s)		A set of 4x3 stereograms of a fractal hypercube
39-47 reference(s)		The evolution of the Klein bottle using the Lorenz attractor
40-47 reference(s)
Intertwining based on the geometry of the Bonan-Jeener-Klein triple bottle
41-45 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
42-43 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
43-43 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
44-43 reference(s)
Artistic view of a quaternionic Julia set -tridimensional cross-section-
45-42 reference(s)		Quantum vacuum fluctuations
46-41 reference(s)		A dynamics of a random intertwining
47-41 reference(s)		The evolution of the Klein bottle using the Lorenz attractor
48-41 reference(s)
Sixteen interlaced torus
49-40 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
50-38 reference(s)		The extended Borromean Rings
51-38 reference(s)		Mountains at sunrise
52-38 reference(s)
Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
53-37 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
54-37 reference(s)		7-foil torus knots
55-37 reference(s)		Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
56-36 reference(s)
Autostereogram with an hidden volcano
57-36 reference(s)		Hypercube
58-36 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
59-36 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
60-35 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
61-34 reference(s)		Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
62-34 reference(s)		Artistic variation on a tridimensional fractal cross -iteration 4-
63-34 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
64-34 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
65-34 reference(s)		Rotation about X and Y axes of the Jeener-Klein triple bottle
66-34 reference(s)		The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
67-32 reference(s)		'Ô temps tes pyramides' -a Tribute to Jorge Luis Borges-
68-31 reference(s)
Birds and fishes
69-31 reference(s)		Quark and gluon dynamics of the nucleon
70-30 reference(s)		From a sphere to the Boy surface
71-30 reference(s)		The generalized Ulam spiral displaying 100 numbers
72-29 reference(s)
Intertwining based on the geometry of the Bonan-Jeener-Klein triple bottle
73-29 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
74-28 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
75-28 reference(s)		Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
76-28 reference(s)
Animation of a sunrise on mountains
77-27 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)
78-27 reference(s)		The Möbius strip
79-27 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
80-27 reference(s)
Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
81-27 reference(s)		A perfect bidimensional fractal tree and the self-similarity
82-26 reference(s)		Fractal diffusion front in a bidimensional medium obtained by means of identical interacting particles with spatial Fourier filtering
83-26 reference(s)		Mystery mountain at sunrise
84-26 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
85-26 reference(s)		The Birth of the Universe
86-26 reference(s)		A set of 4x3 stereograms of a fractal Notre-Dame de la Garde, Marseilles
87-26 reference(s)		Sixteen interlaced fractal torus
88-26 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
89-26 reference(s)		A 'fractal plane' with overhangings defined by means of three bidimensional fields
90-25 reference(s)		Untitled 0137 -'Jour de Lenteur', a Tribute to Yves Tanguy-
91-25 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
92-25 reference(s)
Jean-François COLONNA (on 11/17/1994)with its fractal mountains
93-25 reference(s)		Anaglyph -blue=right, red=left- of a fractal-fractal tree
94-25 reference(s)		A fractal Möbius strip
95-25 reference(s)		Tridimensional fractal cross -iteration 5-
96-25 reference(s)
The Bonan-Jeener-Klein triple bottle
97-25 reference(s)		The Jeener-Klein triple bottle
98-25 reference(s)		An aperiodic Penrose tiling of the plane
99-24 reference(s)		From the Möbius strip to the Klein bottle
100-24 reference(s)
A foggy pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(0,1,0,0) and with a locally variable exponent between 2 and 12 -tridimensional cross-section-
101-24 reference(s)		An interpolation between the tridimensional Hilbert Curve -iteration 4- and a detail of a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
102-24 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
103-24 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
104-24 reference(s)
A fractal Klein bottle
105-24 reference(s)		LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
106-24 reference(s)		Along the border of the Mandelbrot set
107-23 reference(s)		Monument Valley à la David Hockney
108-23 reference(s)
From Pluto to the Sun -extrapolation 2- (non linear scales)
109-23 reference(s)		Isle of the Dead -a Tribute to Arnold Böcklin-
110-23 reference(s)		An aperiodic Penrose tiling of the plane
111-22 reference(s)		24 evenly distributed points on a sphere by means of simulated annealing
112-22 reference(s)
A tridimensional cubic mesh defined by means of three tridimensional fields and transformed using the tridimensional life game
113-22 reference(s)		A tridimensional Möbius-like manifold defined by means of three tridimensional fields
114-22 reference(s)		Mountains at sunrise
115-22 reference(s)		Quark and gluon structure of a nucleon
116-22 reference(s)
Rotation about the X axis of the Lorenz attractor
117-22 reference(s)		Fractal paradoxal structure
118-22 reference(s)		Fractal 7-foil torus knot
119-22 reference(s)		A set of 4x3 stereograms of a fractal Möbius strip
120-22 reference(s)
The wall-paper process
121-22 reference(s)		From the infinitely small to the infinitely big
122-22 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
123-22 reference(s)		Rotation about the Y (vertical)axis of the Jeener-Klein triple bottle that can also be viewed as a set of 4x3 stereograms
124-22 reference(s)
Isotropic random walk of 64 particles on a tridimensional square lattice
125-21 reference(s)		Bidimensional brownian motion on a square lattice based on a random process -the colors used (magenta,red,yellow,green,cyan)are an increasing function of the time-
126-21 reference(s)		The generalized Ulam spiral displaying 1024 numbers
127-21 reference(s)		Mystery cliffs at sunrise
128-21 reference(s)




2-The 128 most referenced Pages (*):

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



1-catalogue.11
2582 reference(s)		2-demo_14
438 reference(s)
3-An2000.01.Fra
377 reference(s)		4-AVirtualSpaceTimeTravelMachine.Ang
265 reference(s)
5-help.
255 reference(s)		6-Stereogrammes_AutoStereogrammes.01
251 reference(s)
7-Fractal.01
238 reference(s)		8-RealNumbers.01.Fra
229 reference(s)
9-FloatingPointNumbers.01.Fra
225 reference(s)		10-FaireDeLaRecherche.01.vv
219 reference(s)
11-GenieLogiciel_VisualisationScientifique.01.vv
196 reference(s)		12-MonodimensionalCellularAutomata.01.Fra
193 reference(s)
13-UlamSpiral.01.Fra
191 reference(s)		14-mail.01.vv
190 reference(s)
15-fractal.01
189 reference(s)		16-AQuoiServentLesMathematiques.01
184 reference(s)
17-Galerie_ArtisticCreation.FV
181 reference(s)		18-UlamSpiral.01.Ang
180 reference(s)
19-Galerie_GeneralitiesVisualization.FV
178 reference(s)		20-MathematiquesPhysiqueFractales.02
177 reference(s)
21-Galerie_NumberTheory.FV
177 reference(s)		22-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
177 reference(s)
23-Informations_AboutPicturesAnimationsAndFiles.01.Ang
176 reference(s)		24-ExpV_VirE.11
176 reference(s)
25-AVirtualSpaceTimeTravelMachine.Fra
176 reference(s)		26-copyright.01.
175 reference(s)
27-Galerie_NewPictures.FV
174 reference(s)		28-Galerie_DeterministicFractalGeometry.FV
173 reference(s)
29-AProposSite.01.Fra
173 reference(s)		30-SurfaceProjector.01.Ang
168 reference(s)
31-Galerie_ArtAndScience.FV
168 reference(s)		32-fairedelarecherche.01.vv
167 reference(s)
33-SurfaceProjector.01.Fra
167 reference(s)		34-an2000
163 reference(s)
35-realnumbers
162 reference(s)		36-demo.14
161 reference(s)
37-Autostereograms.01.
161 reference(s)		38-AnimFractal.01.
161 reference(s)
39-Galerie_CelestialMechanics.FV
160 reference(s)		40-Galerie_DeterministicChaos.FV
159 reference(s)
41-demo
158 reference(s)		42-ImagesDuVirtuel.01.Fra.FV
158 reference(s)
43-GoldenTriangle.01.Ang
158 reference(s)		44-logiciel
157 reference(s)
45-NatureDesMathematiques.01.vv.Fra
157 reference(s)		46-ManyChaos.01.Fra
157 reference(s)
47-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
157 reference(s)		48-nombresreels
156 reference(s)
49-DieuScience.01.Fra
156 reference(s)		50-Galerie_QuantumMechanics.FV
155 reference(s)
51-IllusionConnaissance.02
154 reference(s)		52-genielogiciel
153 reference(s)
53-demo14
153 reference(s)		54-NDimensionalDeterministicFractalSets.01.Fra
153 reference(s)
55-NDimensionalDeterministicFractalSets.01.Ang
153 reference(s)		56-GoldenTriangle.01.Fra
151 reference(s)
57-Kepler.02.
150 reference(s)		58-Fractal.11
150 reference(s)
59-ManyChaos.01.Ang
149 reference(s)		60-GenieLogiciel.01.Fra
149 reference(s)
61-ComplexiteStructurelle.01
149 reference(s)		62-infinity.01.vv
147 reference(s)
63-OrdinateursEtCalculs.01.Fra
147 reference(s)		64-Galerie_ParticleSystems.FV
147 reference(s)
65-ImpossibleStructures.01.Ang
146 reference(s)		66-NombresEtLumiere.01.vv.Fra
144 reference(s)
67-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
144 reference(s)		68-create.03.
143 reference(s)
69-ImpossibleStructures.01.Fra
143 reference(s)		70-Spheres.01
142 reference(s)
71-MonodimensionalCellularAutomata.01.Ang
142 reference(s)		72-OrdinateurMathematiquesArt.01.Fra
141 reference(s)
73-Galerie_TextureSynthesis.FV
141 reference(s)		74-FloatingPointNumbers.01.Ang
141 reference(s)
75-subject.01.
140 reference(s)		76-RemarquesCerveau.01
140 reference(s)
77-LOG_xiMc.11
140 reference(s)		78-PerteDeLAssociativite.01
139 reference(s)
79-Fractal.03
139 reference(s)		80-AvantPropos.01.Fra
139 reference(s)
81-VirtualChaos.01.Ang
138 reference(s)		82-OrdinateursEtCalculs.01.Ang
138 reference(s)
83-Galerie_SignalProcessing.FV
138 reference(s)		84-VisitesGaleriesEnfouies.01.Fra
137 reference(s)
85-Galerie_Astrophysics.FV
137 reference(s)		86-EntrelacsIntertwinings.01.Fra
137 reference(s)
87-VisitesGaleriesEnfouies.01.Ang
136 reference(s)		88-Vcatalogue.11
136 reference(s)
89-MorePages.
135 reference(s)		90-Informations_GoodNewsAndBadNews.01.Fra
135 reference(s)
91-AvantPropos.01.Ang
135 reference(s)		92-Galerie_FluidMechanics.FV
134 reference(s)
93-Galerie_BestOf.FV
134 reference(s)		94-ImagesDuVirtuel.01.Fra
133 reference(s)
95-Galerie_SensitivityToRoundingOffErrors.FV
133 reference(s)		96-infinity.02.vv
132 reference(s)
97-MathematiquesPhysiqueFractales.22
132 reference(s)		98-MathematiquesPhysiqueFractales.01
132 reference(s)
99-MathematiquesModeleOutilArtiste.02.Ang
132 reference(s)		100-ExpV_VirE.Ang
132 reference(s)
101-EntrelacsIntertwinings.01.Ang
132 reference(s)		102-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
131 reference(s)
103-MathematiquesPhysiqueFractales.12
130 reference(s)		104-Informations_AboutPicturesAnimationsAndFiles.01.Fra
130 reference(s)
105-VirtualChaos.01.Fra
129 reference(s)		106-ExpV_VirE.21
129 reference(s)
107-MathematiquesEtRepresentations.01.vv.Ang
128 reference(s)		108-Galerie_Tributes.FV
127 reference(s)
109-EnsembleDesGaleriesFractales.DIAPO.0001
127 reference(s)		110-EnsembleDesGaleries.DIAPO.0001
127 reference(s)
111-PatrimoineHumanite.02.Fra
126 reference(s)		112-present.01.
125 reference(s)
113-ExpV_VirE.01.Ang
124 reference(s)		114-Commentaires_ModeleIsingBiDimensionnel.01
124 reference(s)
115-Commentaires_DefinitionPseudoOctonions.01
124 reference(s)		116-MathematiquesEtCinematographe.01.vv
123 reference(s)
117-ExpV_VirE.01.Fra
123 reference(s)		118-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
121 reference(s)
119-Fractal.02
120 reference(s)		120-QuelquesQuestionsSurLaRecherche.01.Fra
119 reference(s)
121-ArtScience.11.Fra
119 reference(s)		122-ArtEtMathematiques.01
119 reference(s)
123-Ariane501.01.Fra
119 reference(s)		124-AQuoiServentLesMathematiques.02
119 reference(s)
125-MonumentValley.01.Ang
118 reference(s)		126-Commentaires_ProblemeDesNCorps.01
117 reference(s)
127-Commentaires_NKleinBottle.01
117 reference(s)		128-xrq_____hydrogene.61.K.
116 reference(s)

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




Copyright © Jean-François COLONNA, 2013-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2013-2024.