Monthly Best Of on 12/28/2011




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 12/28/2011 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 Lorenz attractor
1-843 reference(s)		 The random walk of photons escaping the Sun
2-236 reference(s)		 The random walk of photons escaping the Sun
3-209 reference(s)		 From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
4-148 reference(s)
Mystery cliffs at sunrise
5-90 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
6-90 reference(s)		 Mystery mountain at sunrise
7-87 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
8-86 reference(s)
Mountains at sunrise
9-84 reference(s)		 Rotation about the X axis of the Lorenz attractor
10-81 reference(s)		 Zoom in on the von Koch curve
11-77 reference(s)		 Intertwining
12-66 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
13-66 reference(s)		 Artistic view of the prime numbers
14-56 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
15-52 reference(s)		 From the infinitely small to the infinitely big
16-52 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
17-51 reference(s)		 Mountains at sunrise
18-47 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-
19-44 reference(s)		 The random walk of photons escaping the Sun
20-41 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
21-41 reference(s)		 Quark and gluon structure of a nucleon
22-40 reference(s)		 The Birth of the Universe
23-39 reference(s)		 The Lorenz attractor in motion
24-35 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
25-35 reference(s)		 Fractal structure of a nucleon
26-33 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a O^2 conformal transformation in the pseudo-octonionic space -tridimensional cross-section-
27-31 reference(s)		 Autostereogram with an hidden volcano
28-30 reference(s)
The Scream -a Tribute to Edvard Munch-
29-28 reference(s)		 Quantum vacuum fluctuations
30-27 reference(s)		 'There is a war' -a Tribute to Leonard Cohen-
31-27 reference(s)		 Happy new year 2000
32-27 reference(s)
Quark and gluon dynamics of the nucleon
33-26 reference(s)		 Untitled 0047
34-25 reference(s)		 The Klein bottle
35-25 reference(s)		 Self-transformation of the bidimensional field defining the three coordinates of the fractal interpolation between a 'double sphere' and the Bonan-Jeener-Klein triple bottle
36-25 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
37-24 reference(s)		 Intertwining
38-24 reference(s)		 The Möbius strip
39-24 reference(s)		 Electron-positron scattering
40-24 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
41-23 reference(s)		 Hypercube
42-23 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
43-23 reference(s)		 Autostereogram with an hidden ring and ghost bows
44-22 reference(s)
The Solar System with a dark blue virtual planet -virtual planet point of view-
45-22 reference(s)		 From Pluto to the Sun (non linear scales)
46-22 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-
47-22 reference(s)		 Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
48-22 reference(s)
The Jeener-Klein triple bottle
49-22 reference(s)		 Untitled 0069
50-21 reference(s)		 The pseudo-sphere
51-21 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)
52-21 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
53-21 reference(s)		 Along the border of the Mandelbrot set
54-20 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
55-20 reference(s)		 Quark and gluon structure of a nucleon
56-19 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
57-19 reference(s)		 Rotation about the X axis of a tridimensional brownian motion
58-19 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
59-18 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-
60-18 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
61-18 reference(s)		 Artistic view of a nucleon
62-18 reference(s)		 A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
63-18 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
64-18 reference(s)
Jean-François COLONNA (on 11/17/1994)with its fractal mountains
65-18 reference(s)		 A shell (Jeener surface 1)in motion
66-18 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
67-18 reference(s)		 An elementary monodimensional binary cellular automaton -184- with 1 white starting point -bottom middle-
68-18 reference(s)
Different modes of representation of a tridimensional cross-section of a Quaternionic Julia set
69-17 reference(s)		 Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
70-17 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
71-17 reference(s)		 The bidimensional field defining the three coordinates of the Bonan-Jeener-Klein triple bottle
72-17 reference(s)
Quantum vacuum fluctuations
73-16 reference(s)		 Artistic view of the Big Bang
74-16 reference(s)		 Along the border of the Mandelbrot set
75-16 reference(s)		 The Solar System with a dark blue virtual planet -heliocentric point of view-
76-16 reference(s)
Earthquake with multifractal mountains
77-16 reference(s)		 LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
78-16 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
79-15 reference(s)		 Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
80-15 reference(s)
Recursive intertwining
81-14 reference(s)		 Alien
82-14 reference(s)		 An arbitrary surface (Jeener surface 2)
83-14 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-
84-14 reference(s)
The bidimensional Ising Model with 2-state spins, temperature=0.2 and random initial conditions
85-14 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
86-14 reference(s)		 Quantum vacuum fluctuation dynamics
87-13 reference(s)		 Generation of the 63x63 first Conway's surreal complex numbers
88-13 reference(s)
Autostereogram with an hidden volcano
89-13 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
90-13 reference(s)		 The generalized Ulam spiral displaying 1024 numbers
91-13 reference(s)		 A variable Archimedes spiral displaying 1000 numbers
92-13 reference(s)
True colors autostereogram of a fractal landscape
93-13 reference(s)		 Animation of a sunrise on mountains
94-13 reference(s)		 An arbitrary surface (Jeener surface 2)in motion
95-13 reference(s)		 Untitled 0139
96-13 reference(s)
A pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0) -tridimensional cross-section-
97-13 reference(s)		 The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
98-13 reference(s)		 Triple impossible staircase
99-13 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
100-13 reference(s)
Autostereogram with an hidden volcano
101-12 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
102-12 reference(s)		 The random walk of photons escaping the Sun
103-12 reference(s)		 Isotropic random walk of 64 particles on a tridimensional square lattice
104-12 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
105-12 reference(s)		 A 'fractal plane' with overhangings defined by means of three bidimensional fields
106-12 reference(s)		 The generalized Ulam spiral displaying 100 numbers
107-12 reference(s)		 Two identical grey rectangles in front of a grey scale
108-12 reference(s)
An arbitrary surface (Jeener surface 2)in motion
109-12 reference(s)		 A shell (Jeener surface 1)
110-12 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-
111-12 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
112-11 reference(s)
Quantum vacuum fluctuation dynamics
113-11 reference(s)		 Merry Christmas 2011
114-11 reference(s)		 Fractal space dynamics
115-11 reference(s)		 Botticelli anomaly on the Moon
116-11 reference(s)
Quark and gluon structure of a nucleon
117-11 reference(s)		 Tridimensional visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
118-11 reference(s)		 The monsters of the lily pond
119-11 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
120-11 reference(s)
Artsitic view of Voronoi diagrams
121-10 reference(s)		 Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
122-10 reference(s)		 Untitled 0141
123-10 reference(s)		 The control panel of a 1972 Télémécanique T1600 computer
124-10 reference(s)
Intertwining
125-10 reference(s)		 Rotation about the Y (vertical)axis of an intertwining that can also be viewed as a set of 4x3 stereograms
126-10 reference(s)		 Autostereogram with an hidden volcano
127-10 reference(s)		 Autostereogram with an hidden volcano
128-10 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
886 reference(s)		 2-NDimensionalDeterministicFractalSets.01.Ang
406 reference(s)
3-AVirtualSpaceTimeTravelMachine.Ang
402 reference(s)		 4-An2000.01.Fra
386 reference(s)
5-MonodimensionalCellularAutomata.01.Fra
331 reference(s)		 6-Galerie_GeneralitiesVisualization.FV
315 reference(s)
7-Fractal.01
313 reference(s)		 8-ImagesDuVirtuel.01.Fra.FV
307 reference(s)
9-help.
292 reference(s)		 10-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
291 reference(s)
11-SurfaceProjector.01.Ang
271 reference(s)		 12-SurfaceProjector.01.Fra
270 reference(s)
13-Galerie_DeterministicFractalGeometry.FV
260 reference(s)		 14-AQuoiServentLesMathematiques.01
259 reference(s)
15-ExpV_VirE.11
242 reference(s)		 16-AProposSite.01.Fra
224 reference(s)
17-NDimensionalDeterministicFractalSets.01.Fra
222 reference(s)		 18-FloatingPointNumbers.01.Fra
222 reference(s)
19-Stereogrammes_AutoStereogrammes.01
219 reference(s)		 20-Galerie_NewPictures.FV
203 reference(s)
21-GenieLogiciel_VisualisationScientifique.01.vv
195 reference(s)		 22-Galerie_NumberTheory.FV
193 reference(s)
23-aquoiserventlesmathematiques.01
192 reference(s)		 24-FaireDeLaRecherche.01.vv
192 reference(s)
25-FloatingPointNumbers.01.Ang
190 reference(s)		 26-AVirtualSpaceTimeTravelMachine.Fra
190 reference(s)
27-AnimFractal.01.
188 reference(s)		 28-ExpV_VirE.01.Fra
187 reference(s)
29-fractal.01
185 reference(s)		 30-Galerie_ArtisticCreation.FV
184 reference(s)
31-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
181 reference(s)		 32-Galerie_ArtAndScience.FV
180 reference(s)
33-present.01.
176 reference(s)		 34-copyright.01.
174 reference(s)
35-Galerie_CelestialMechanics.FV
173 reference(s)		 36-DieuScience.01.Fra
173 reference(s)
37-GenieLogiciel.01.Fra
172 reference(s)		 38-MathematiquesPhysiqueFractales.02
171 reference(s)
39-mail.01.vv
170 reference(s)		 40-Galerie_ParticleSystems.FV
170 reference(s)
41-NatureDesMathematiques.01.vv.Fra
168 reference(s)		 42-Galerie_DeterministicChaos.FV
167 reference(s)
43-ImpossibleStructures.01.Ang
166 reference(s)		 44-Autostereograms.01.
166 reference(s)
45-catalogue.11
165 reference(s)		 46-Galerie_QuantumMechanics.FV
163 reference(s)
47-RealNumbers.01.Fra
162 reference(s)		 48-infinity.02.vv
161 reference(s)
49-MonodimensionalCellularAutomata.01.Ang
161 reference(s)		 50-Galerie_BestOf.FV
161 reference(s)
51-ArtScience.11.Fra
160 reference(s)		 52-infinity.01.vv
157 reference(s)
53-EntrelacsIntertwinings.01.Fra
157 reference(s)		 54-expv_vire.01.fra
156 reference(s)
55-fairedelarecherche.01.vv
155 reference(s)		 56-Vcatalogue.11
155 reference(s)
57-Galerie_FluidMechanics.FV
153 reference(s)		 58-Kepler.02.
151 reference(s)
59-Informations_AboutPicturesAnimationsAndFiles.01.Ang
149 reference(s)		 60-Galerie_SignalProcessing.FV
149 reference(s)
61-ExpV_VirE.Fra
149 reference(s)		 62-EntrelacsIntertwinings.01.Ang
148 reference(s)
63-ImpossibleStructures.01.Fra
147 reference(s)		 64-IllusionConnaissance.02
147 reference(s)
65-Galeries.01.vv
147 reference(s)		 66-Galerie_Astrophysics.FV
147 reference(s)
67-demo_14.FV
146 reference(s)		 68-NombresEtLumiere.01.vv.Fra
146 reference(s)
69-Commentaires_DefinitionComplexes.01
146 reference(s)		 70-subject.01.
145 reference(s)
71-RemarquesCerveau.01
144 reference(s)		 72-ImagesDuVirtuel.01.Fra
144 reference(s)
73-Galerie_SensitivityToRoundingOffErrors.FV
144 reference(s)		 74-Commentaires_DefinitionTransformeeDeFourier.01
144 reference(s)
75-Galerie_TextureSynthesis.FV
143 reference(s)		 76-an2000.01.fra
142 reference(s)
77-ManyChaos.01.Ang
141 reference(s)		 78-Commentaires_SystemeSolaire.01
141 reference(s)
79-PerteDeLAssociativite.01
139 reference(s)		 80-OrdinateursEtCalculs.01.Fra
139 reference(s)
81-VirtualChaos.01.Fra
138 reference(s)		 82-HommageBenoitMandelbrot.21
138 reference(s)
83-LOG_xiMc.11
136 reference(s)		 84-Commentaires_SurfaceDeBoy.01
135 reference(s)
85-AQuoiServentLesMathematiques.03
135 reference(s)		 86-create.03.
133 reference(s)
87-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
133 reference(s)		 88-genielogiciel_visualisationscientifique.01.vv
132 reference(s)
89-ArtScience.11.Ang
132 reference(s)		 90-OrdinateurMathematiquesArt.01.Fra
131 reference(s)
91-Commentaires_NKleinBottle.01
131 reference(s)		 92-EnsembleDesGaleries.DIAPO.0001
130 reference(s)
93-Commentaires_NKleinBottle.02
130 reference(s)		 94-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
130 reference(s)
95-expv_vire.11
129 reference(s)		 96-VisSci_SciVis.02
129 reference(s)
97-Spheres.01
129 reference(s)		 98-MonumentValley.01.Ang
129 reference(s)
99-MathematiquesPhysiqueInformatiqueImages.01.Fra
129 reference(s)		 100-DuModeleALaPriseDeDecision.01.Fra
129 reference(s)
101-Commentaires_ProblemeDesNCorps.01
129 reference(s)		 102-An2000.05.Fra
129 reference(s)
103-ManyChaos.01.Fra
128 reference(s)		 104-Informations_GoodNewsAndBadNews.01.Fra
128 reference(s)
105-ExpV_VirE.21
128 reference(s)		 106-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0001
127 reference(s)
107-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
127 reference(s)		 108-QuelquesQuestionsSurLaRecherche.01.Fra
126 reference(s)
109-EntrelacsIntertwinings.01.Ang.DIAPO.0001
126 reference(s)		 110-An2000.11.Fra
126 reference(s)
111-real.01.vv.
125 reference(s)		 112-hydrogene.61.K.
125 reference(s)
113-PatrimoineHumanite.02.Fra
125 reference(s)		 114-MathematiquesPhysiqueFractales.01
125 reference(s)
115-Galerie_NewPictures.DIAPO.0001
125 reference(s)		 116-Commentaires_StructuresVivantesRecursives.01
125 reference(s)
117-MonumentValley.01.Fra
124 reference(s)		 118-MathematiquesModeleOutilArtiste.02.Ang
124 reference(s)
119-ExpV_VirE.Ang
124 reference(s)		 120-ArtEtMathematiques.01
124 reference(s)
121-JFC
123 reference(s)		 122-Informations_GoodNewsAndBadNews.01.Ang
123 reference(s)
123-Galerie_NewPictures.DIAPO.0002
123 reference(s)		 124-Commentaires_ModeleIsingBiDimensionnel.01
123 reference(s)
125-imagesduvirtuel.01.fra.fv
122 reference(s)		 126-EnsembleDesGaleriesFractales.DIAPO.0001
122 reference(s)
127-AvantPropos.01.Ang
122 reference(s)		 128-AVirtualSpaceTimeTravelMachine.Ang.FV
122 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.