Monthly Best Of on 11/28/2011




A pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0) with 6 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 11/28/2011 and last updated on 11/14/2023 17:47:57 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The random walk of photons escaping the Sun
1-190 reference(s)		 The random walk of photons escaping the Sun
2-107 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-107 reference(s)		 From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
4-106 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
5-102 reference(s)		 A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
6-97 reference(s)		 A set of 4x3 stereograms of a close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
7-92 reference(s)		 Quark and gluon structure of a nucleon
8-80 reference(s)
Quantum vacuum fluctuations
9-79 reference(s)		 Artistic view of the prime numbers
10-77 reference(s)		 The Lorenz attractor
11-76 reference(s)		 Quantum vacuum fluctuations
12-74 reference(s)
Mystery mountain at sunrise
13-65 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
14-64 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
15-63 reference(s)		 Mountains at sunrise
16-62 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
17-61 reference(s)		 Mystery cliffs at sunrise
18-60 reference(s)		 The random walk of photons escaping the Sun
19-55 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
20-52 reference(s)
From the infinitely small to the infinitely big
21-49 reference(s)		 Mountains at sunrise
22-48 reference(s)		 Intertwining
23-44 reference(s)		 Zoom in on the von Koch curve
24-38 reference(s)
Intertwining
25-38 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 1/Z conformal transformation in the complex plane -tridimensional cross-section-
26-37 reference(s)		 Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
27-37 reference(s)		 Autostereogram with an hidden volcano
28-36 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
29-32 reference(s)		 Artistic view of the Big Bang
30-31 reference(s)		 The Möbius strip
31-31 reference(s)		 Artistic view of a quaternionic Julia set -tridimensional cross-section-
32-31 reference(s)
The Birth of the Universe
33-31 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
34-29 reference(s)		 The generalized Ulam spiral displaying 100 numbers
35-28 reference(s)		 A shell (Jeener surface 1)in motion
36-28 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
37-27 reference(s)		 From Pluto to the Sun (non linear scales)
38-27 reference(s)		 Hypercube
39-27 reference(s)		 'There is a war' -a Tribute to Leonard Cohen-
40-26 reference(s)
A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(0,1,0,0,0,0,0,0) and with a locally variable exponent between 2 and 12 -tridimensional cross-section-
41-26 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
42-26 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
43-26 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
44-26 reference(s)
The Jeener-Klein triple bottle
45-26 reference(s)		 Rotation about the X axis of the Lorenz attractor
46-25 reference(s)		 Recursive intertwining
47-24 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
48-24 reference(s)
The Scream -a Tribute to Edvard Munch-
49-24 reference(s)		 Quark and gluon structure of the nucleon
50-24 reference(s)		 The Solar System with a dark blue virtual planet -virtual planet point of view-
51-24 reference(s)		 Along the border of the Mandelbrot set
52-23 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
53-22 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
54-22 reference(s)		 The Klein bottle
55-22 reference(s)		 24 evenly distributed points on a sphere by means of simulated annealing
56-21 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
57-21 reference(s)		 Alien
58-20 reference(s)		 Fractal structure of a nucleon
59-20 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)
60-20 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
61-20 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a (4xO+1)/(1xO-1) conformal transformation in the pseudo-octonionic space -tridimensional cross-section-
62-19 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
63-19 reference(s)		 Quantum vacuum fluctuation dynamics
64-18 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-
65-18 reference(s)		 Quark and gluon structure of a nucleon
66-18 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 1/O conformal transformation in the pseudo-octonionic space -tridimensional cross-section-
67-18 reference(s)		 Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
68-18 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
69-18 reference(s)		 La Génèse (1974)
70-18 reference(s)		 Electron-positron scattering
71-18 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
72-18 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
73-17 reference(s)		 Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
74-17 reference(s)		 The generalized Ulam spiral displaying 1024 numbers
75-17 reference(s)		 Botticelli anomaly on the Moon
76-17 reference(s)
Artistic view of a nucleon
77-17 reference(s)		 Different modes of representation of a tridimensional cross-section of a Quaternionic Julia set
78-17 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 1/O conformal transformation in the pseudo-octonionic space -tridimensional cross-section-
79-17 reference(s)		 Tridimensional visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
80-17 reference(s)
Impossible structure
81-17 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
82-17 reference(s)		 Tridimensional billiard with 12 -initially- still particles submitted to an attractive central field of gravity
83-16 reference(s)		 Autostereogram of a quaternionic Julia set and fractal phenomenon -tridimensional cross-section-
84-15 reference(s)
A variable Archimedes spiral displaying 1000 numbers
85-15 reference(s)		 An arbitrary surface (Jeener surface 2)in motion
86-15 reference(s)		 An arbitrary surface (Jeener surface 2)in motion
87-15 reference(s)		 Tridimensional visualization of the Verhulst dynamics
88-15 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
89-15 reference(s)		 A shell (Jeener surface 1)
90-15 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
91-15 reference(s)		 Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
92-14 reference(s)
Along the border of the Mandelbrot set
93-14 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
94-14 reference(s)		 Autostereogram with an hidden ring and ghost bows
95-14 reference(s)		 Non isotropic random walk of 64 particles on a bidimensional square lattice in a 'ring' potential
96-14 reference(s)
The Solar System with a dark blue virtual planet -virtual planet point of view-
97-14 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 1/Z conformal transformation in the complex plane -tridimensional cross-section-
98-14 reference(s)		 Artistic view of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0) -a Tribute to José Hernández- -tridimensional cross-section-
99-14 reference(s)		 Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
100-14 reference(s)
The normal field of a shell (Jeener surface 1)
101-14 reference(s)		 LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
102-14 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
103-13 reference(s)		 A 'fractal plane' with overhangings defined by means of three bidimensional fields
104-13 reference(s)
Untitled 0137 -'Jour de Lenteur', a Tribute to Yves Tanguy-
105-13 reference(s)		 Octonionic mountains with extended arithmetics
106-13 reference(s)		 An arbitrary surface (Jeener surface 2)
107-13 reference(s)		 Quark and gluon structure of the meson
108-13 reference(s)
A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) -tridimensional cross-section-
109-13 reference(s)		 The 5x5=25 patches of the tridimensional representation of a quadridimensional Calabi-Yau manifold
110-13 reference(s)		 Artistic view of a quadridimensional Calabi-Yau manifold
111-13 reference(s)		 The bidimensional field defining the three coordinates of the Bonan-Jeener-Klein triple bottle
112-13 reference(s)
Animation of a natural form
113-12 reference(s)		 Quark and gluon dynamics of the nucleon
114-12 reference(s)		 The normal field of a fractal surface defined by means of three bidimensional fields
115-12 reference(s)		 Close-up on an hybrid pseudo-octonionic Mandelbrot-Julia set ('MandelBulb' like: a 'MandelJuliaBulb')-tridimensional cross-section-
116-12 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
117-12 reference(s)		 The monsters of the lily pond
118-12 reference(s)		 Triple impossible staircase
119-12 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
120-11 reference(s)
The construction of the von Koch curve
121-11 reference(s)		 Autostereogram with an hidden volcano
122-11 reference(s)		 Isotropic random walk of 64 particles on a tridimensional square lattice
123-11 reference(s)		 An Archimedes spiral displaying 1000 numbers
124-11 reference(s)
Table mountain
125-11 reference(s)		 True colors autostereogram of a fractal landscape
126-11 reference(s)		 The Solar System with a dark blue virtual planet -heliocentric point of view-
127-11 reference(s)		 Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
128-11 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
854 reference(s)		 2-NDimensionalDeterministicFractalSets.01.Ang
381 reference(s)
3-An2000.01.Fra
366 reference(s)		 4-Galerie_GeneralitiesVisualization.FV
363 reference(s)
5-AVirtualSpaceTimeTravelMachine.Ang
345 reference(s)		 6-Fractal.01
309 reference(s)
7-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
300 reference(s)		 8-ImagesDuVirtuel.01.Fra.FV
295 reference(s)
9-AQuoiServentLesMathematiques.01
288 reference(s)		 10-SurfaceProjector.01.Fra
275 reference(s)
11-help.
273 reference(s)		 12-MonodimensionalCellularAutomata.01.Fra
271 reference(s)
13-Galerie_DeterministicFractalGeometry.FV
261 reference(s)		 14-SurfaceProjector.01.Ang
255 reference(s)
15-ExpV_VirE.11
242 reference(s)		 16-NDimensionalDeterministicFractalSets.01.Fra
224 reference(s)
17-Galerie_NewPictures.FV
222 reference(s)		 18-aquoiserventlesmathematiques.01
220 reference(s)
19-Stereogrammes_AutoStereogrammes.01
219 reference(s)		 20-FloatingPointNumbers.01.Fra
217 reference(s)
21-FloatingPointNumbers.01.Ang
216 reference(s)		 22-Galerie_ArtisticCreation.FV
215 reference(s)
23-Galerie_ParticleSystems.FV
210 reference(s)		 24-NatureDesMathematiques.01.vv.Fra
206 reference(s)
25-Galerie_ArtAndScience.FV
203 reference(s)		 26-MonodimensionalCellularAutomata.01.Ang
202 reference(s)
27-AnimFractal.01.
199 reference(s)		 28-AProposSite.01.Fra
199 reference(s)
29-GenieLogiciel_VisualisationScientifique.01.vv
198 reference(s)		 30-ExpV_VirE.01.Fra
198 reference(s)
31-MathematiquesPhysiqueFractales.02
196 reference(s)		 32-DieuScience.01.Fra
196 reference(s)
33-FaireDeLaRecherche.01.vv
194 reference(s)		 34-Autostereograms.01.
194 reference(s)
35-Galerie_NumberTheory.FV
190 reference(s)		 36-fractal.01
187 reference(s)
37-AVirtualSpaceTimeTravelMachine.Fra
187 reference(s)		 38-ImpossibleStructures.01.Fra
185 reference(s)
39-ArtScience.11.Fra
184 reference(s)		 40-present.01.
183 reference(s)
41-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
181 reference(s)		 42-Galerie_CelestialMechanics.FV
176 reference(s)
43-ExpV_VirE.Fra
176 reference(s)		 44-Galerie_QuantumMechanics.FV
173 reference(s)
45-ImpossibleStructures.01.Ang
172 reference(s)		 46-GenieLogiciel.01.Fra
172 reference(s)
47-Kepler.02.
169 reference(s)		 48-Galerie_DeterministicChaos.FV
168 reference(s)
49-Galerie_BestOf.FV
168 reference(s)		 50-RemarquesCerveau.01
166 reference(s)
51-IllusionConnaissance.02
164 reference(s)		 52-EntrelacsIntertwinings.01.Fra
164 reference(s)
53-expv_vire.01.fra
162 reference(s)		 54-RealNumbers.01.Fra
162 reference(s)
55-infinity.02.vv
160 reference(s)		 56-NombresEtLumiere.01.vv.Fra
160 reference(s)
57-infinity.01.vv
159 reference(s)		 58-copyright.01.
159 reference(s)
59-Galerie_SensitivityToRoundingOffErrors.FV
157 reference(s)		 60-EntrelacsIntertwinings.01.Ang
157 reference(s)
61-fairedelarecherche.01.vv
156 reference(s)		 62-Vcatalogue.11
156 reference(s)
63-Galerie_FluidMechanics.FV
156 reference(s)		 64-subject.01.
155 reference(s)
65-MathematiquesPhysiqueFractales.01
155 reference(s)		 66-VisSci_SciVis.02
154 reference(s)
67-Galerie_SignalProcessing.FV
154 reference(s)		 68-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
154 reference(s)
69-Commentaires_DefinitionComplexes.01
154 reference(s)		 70-mail.01.vv
153 reference(s)
71-VirtualChaos.01.Fra
153 reference(s)		 72-ManyChaos.01.Ang
152 reference(s)
73-Galerie_TextureSynthesis.FV
152 reference(s)		 74-OrdinateursEtCalculs.01.Fra
149 reference(s)
75-ExpV_VirE.21
149 reference(s)		 76-catalogue.11
148 reference(s)
77-ExpV_VirE.Ang
148 reference(s)		 78-AQuoiServentLesMathematiques.03
146 reference(s)
79-galerie_deterministicfractalgeometry.fv
145 reference(s)		 80-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
145 reference(s)
81-Commentaires_NKleinBottle.01
145 reference(s)		 82-ArtEtMathematiques.01
145 reference(s)
83-create.03.
144 reference(s)		 84-Commentaires_ModeleIsingBiDimensionnel.01
144 reference(s)
85-Commentaires_ProblemeDesNCorps.01
143 reference(s)		 86-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
142 reference(s)
87-HommageBenoitMandelbrot.21
141 reference(s)		 88-Commentaires_DefinitionTransformeeDeFourier.01
141 reference(s)
89-Informations_AboutPicturesAnimationsAndFiles.01.Fra
140 reference(s)		 90-demo_14.FV
139 reference(s)
91-Informations_AboutPicturesAnimationsAndFiles.01.Ang
139 reference(s)		 92-DuModeleALaPriseDeDecision.01.Fra
139 reference(s)
93-MonumentValley.01.Ang
138 reference(s)		 94-Informations_GoodNewsAndBadNews.01.Fra
138 reference(s)
95-Galeries.01.vv
138 reference(s)		 96-Commentaires_SystemeSolaire.01
138 reference(s)
97-MathematiquesEtCinematographe.01.vv
137 reference(s)		 98-Commentaires_NKleinBottle.02
137 reference(s)
99-MonumentValley.01.Fra
136 reference(s)		 100-ManyChaos.01.Fra
136 reference(s)
101-ImagesDuVirtuel.01.Fra
136 reference(s)		 102-IllusionConnaissance.01
136 reference(s)
103-ExpV_VirE.01.Ang
136 reference(s)		 104-Commentaires_StructuresVivantesRecursives.01
136 reference(s)
105-expv_vire.11
135 reference(s)		 106-LOG_xiMc.11
135 reference(s)
107-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0001
135 reference(s)		 108-Commentaires_EspaceLyapunovComplexe.01
135 reference(s)
109-Commentaires_SurfaceDeBoy.01
133 reference(s)		 110-An2000.04.Fra
133 reference(s)
111-OrdinateurMathematiquesArt.01.Fra
131 reference(s)		 112-Galerie_Astrophysics.FV
131 reference(s)
113-DuReelAuVirtuel.01.Fra
131 reference(s)		 114-An2000.02.Fra
131 reference(s)
115-VisitesGaleriesEnfouies.01.Fra
130 reference(s)		 116-An2000.06.Fra
130 reference(s)
117-An2000.05.Fra
130 reference(s)		 118-PatrimoineHumanite.02.Fra
129 reference(s)
119-OrdinateursEtCalculs.01.Ang
129 reference(s)		 120-MathematiquesModeleOutilArtiste.02.Ang
129 reference(s)
121-Galerie_CollaborativeWorks..FV
129 reference(s)		 122-surfaceprojector.01.fra
128 reference(s)
123-PerteDeLAssociativite.01
128 reference(s)		 124-galerie_artandscience.fv
127 reference(s)
125-genielogiciel_visualisationscientifique.01.vv
126 reference(s)		 126-imagesduvirtuel.01.fra.fv
125 reference(s)
127-hydrogene.61.K.
125 reference(s)		 128-galerie_generalitiesvisualization.fv
125 reference(s)

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




Copyright © Jean-François COLONNA, 2011-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2011-2023.