Monthly Best Of on 11/28/2012




A pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0) -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 11/28/2012 and last updated on 10/03/2024 17:02:30 -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
1-569 reference(s)		The generalized Ulam spiral
2-105 reference(s)		Hypercube
3-86 reference(s)		From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
4-85 reference(s)
Artistic view of the prime numbers
5-84 reference(s)		Zoom in on the von Koch curve
6-79 reference(s)		Autostereogram with an hidden volcano
7-79 reference(s)		Random intertwining
8-67 reference(s)
From the infinitely small to the infinitely big
9-65 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
10-61 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
11-56 reference(s)		The Lorenz attractor
12-51 reference(s)
Paradoxal structure based on the geometry of the Boy surface
13-47 reference(s)		Monument Valley à la David Hockney
14-45 reference(s)		The Goldbach conjecture
15-45 reference(s)		The random walk of photons escaping the Sun
16-43 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
17-43 reference(s)		Welcome aboard a Virtual Space-Time Travel Machine
18-39 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
19-38 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
20-38 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
21-37 reference(s)		Autostereogram with an hidden ring and ghost bows
22-36 reference(s)		The random walk of photons escaping the Sun
23-36 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
24-34 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)
25-33 reference(s)		Tridimenional display of the Goldbach conjecture
26-33 reference(s)		The Jeener-Klein triple bottle
27-32 reference(s)		Autostereogram with an hidden volcano
28-31 reference(s)
Anaglyph -blue=right, red=left- of the Tridimensional Hilbert Curve -iteration 3-
29-31 reference(s)		Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
30-31 reference(s)		Autostereogram with an hidden volcano
31-30 reference(s)		From Pluto to the Sun (non linear scales)
32-30 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
33-30 reference(s)		Autostereogram with an hidden volcano
34-29 reference(s)		Mountains at sunrise
35-29 reference(s)		A shell (Jeener surface 1)
36-29 reference(s)
N-body problem integration (N=3)displaying two planets with symmetrical initial conditions on elliptic trajectories
37-28 reference(s)		Quantum vacuum fluctuations
38-27 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
39-27 reference(s)		A 'fractal plane' with overhangings defined by means of three bidimensional fields
40-27 reference(s)
True colors autostereogram of a fractal landscape
41-27 reference(s)		The Möbius strip
42-27 reference(s)		A set of 4x3 stereograms of a tridimensional interpolation between a fractal structure and a cubic mesh
43-27 reference(s)		A shell (Jeener surface 1)in motion
44-27 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
45-26 reference(s)		Intertwining
46-25 reference(s)		An Archimedes spiral displaying 100 numbers
47-25 reference(s)		Wavelet transform of a bidimensional fractal field (bird's-eye view)
48-25 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
49-25 reference(s)		A set of 4x3 stereograms of a tridimensional fractal structure
50-25 reference(s)		24 evenly distributed points on a sphere by means of simulated annealing
51-24 reference(s)		The Scream -a Tribute to Edvard Munch-
52-24 reference(s)
The generalized Ulam spiral displaying 1024 numbers
53-24 reference(s)		Fractal synthesis of mountains with vegetation and stormy clouds
54-24 reference(s)		Untitled 0161
55-24 reference(s)		Quark and gluon structure of a nucleon
56-24 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
57-24 reference(s)		Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
58-23 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
59-23 reference(s)		Artistic tridimensional visualization of the Goldbach conjecture
60-23 reference(s)
Quantum vacuum fluctuations
61-22 reference(s)		Universe or Multiverse -The fractal Universe-?
62-22 reference(s)		Recursive intertwining
63-22 reference(s)		The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
64-22 reference(s)
A set of 4x3 stereograms of a close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
65-22 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
66-22 reference(s)		A fractal Klein bottle
67-22 reference(s)		Tridimensional fractal structure -the space-time foam?-
68-22 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
69-22 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
70-22 reference(s)		An Archimedes spiral displaying 1000 numbers
71-21 reference(s)		Rotation about the Y (vertical)axis of a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb') that can also be viewed as a set of 4x3 stereograms -tridimensional cross-section-
72-21 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
73-21 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
74-21 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
75-20 reference(s)		The generalized Ulam spiral displaying 100 numbers
76-20 reference(s)
The Eratosthene sieve displaying 100x100 numbers
77-20 reference(s)		From Pluto to the Sun -extrapolation 1- (non linear scales)
78-20 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
79-20 reference(s)		Happy new year 2000
80-20 reference(s)
Artsitic view of Voronoi diagrams
81-19 reference(s)		Along the border of the Mandelbrot set
82-19 reference(s)		An arbitrary surface (Jeener surface 2)in motion
83-19 reference(s)		Tridimenional display of the Goldbach conjecture
84-19 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
85-19 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
86-18 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
87-18 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
88-18 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
89-18 reference(s)		A variable Archimedes spiral displaying 1000 numbers
90-18 reference(s)		Tridimensional fractal structure
91-18 reference(s)		Electron-positron scattering
92-18 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
93-18 reference(s)		Bidimensional brownian motion with a gaussian distribution law regarding the radial coordinate
94-18 reference(s)		Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
95-17 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
96-17 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-
97-17 reference(s)		Chessboard
98-16 reference(s)		Alien
99-16 reference(s)		Quaternionic butterfly with extended arithmetics -a Tribute to Laurent Schwartz-
100-16 reference(s)
Quark and gluon dynamics of the nucleon
101-16 reference(s)		Autostereogram of Monument Valley
102-16 reference(s)		Anaglyph -blue=right, red=left- of a close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
103-16 reference(s)		The Nympheas -a Tribute to Claude Monet-
104-16 reference(s)
Autostereogram -using periodical light clouds as desguise texture- with a hidden gaussian mountain
105-16 reference(s)		Synthesis of tridimensional textures by means of a fractal process
106-16 reference(s)		The Jeener-Klein quintuple bottle
107-16 reference(s)		Artistic view of the Big Bang
108-15 reference(s)
Paradoxal structure based on the geometry of the Bonan-Jeener-Klein triple bottle
109-15 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
110-15 reference(s)		A set of 4x3 stereograms of a tridimensional fractal structure
111-15 reference(s)		Untitled 0137 -'Jour de Lenteur', a Tribute to Yves Tanguy-
112-15 reference(s)
Artistic view of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0) -a Tribute to José Hernández- -tridimensional cross-section-
113-15 reference(s)		The Birth of the Universe
114-15 reference(s)		Paradoxal structure
115-15 reference(s)		A 'mixing' between a tridimensional fractal structure and a close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
116-15 reference(s)
Anaglyph -blue=right, red=left- of a tridimensional representation of a quadridimensional Calabi-Yau manifold
117-15 reference(s)		Volcano
118-15 reference(s)		The random walk of photons escaping the Sun
119-14 reference(s)		Particle collisions without energy loss in a tridimensional space with display of the velocity histogram
120-14 reference(s)
Untitled 0051
121-14 reference(s)		Tridimensional fractal structure
122-14 reference(s)		Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
123-14 reference(s)		Botticelli anomaly on the Moon
124-14 reference(s)
Mystery mountain at sunrise
125-14 reference(s)		The same bidimensional scalar field displayed with 4 different color palettes
126-14 reference(s)		Quark and gluon structure of a nucleon
127-14 reference(s)		An arbitrary surface (Jeener surface 2)
128-14 reference(s)




2-The 128 most referenced Pages (*):

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



1-AQuoiServentLesMathematiques.01
669 reference(s)		2-demo_14
663 reference(s)
3-An2000.01.Fra
399 reference(s)		4-AVirtualSpaceTimeTravelMachine.Ang
361 reference(s)
5-help.
335 reference(s)		6-Fractal.01
334 reference(s)
7-Stereogrammes_AutoStereogrammes.01
299 reference(s)		8-MonodimensionalCellularAutomata.01.Fra
261 reference(s)
9-FloatingPointNumbers.01.Fra
261 reference(s)		10-MathematiquesPhysiqueFractales.02
244 reference(s)
11-catalogue.11
243 reference(s)		12-FaireDeLaRecherche.01.vv
231 reference(s)
13-GenieLogiciel_VisualisationScientifique.01.vv
229 reference(s)		14-Galerie_ArtisticCreation.FV
223 reference(s)
15-mail.01.vv
215 reference(s)		16-ExpV_VirE.11
213 reference(s)
17-copyright.01.
201 reference(s)		18-Galerie_DeterministicFractalGeometry.FV
201 reference(s)
19-Galerie_GeneralitiesVisualization.FV
199 reference(s)		20-AVirtualSpaceTimeTravelMachine.Fra
199 reference(s)
21-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
196 reference(s)		22-Kepler.02.
194 reference(s)
23-AProposSite.01.Fra
194 reference(s)		24-SurfaceProjector.01.Fra
192 reference(s)
25-AnimFractal.01.
190 reference(s)		26-UlamSpiral.01.Ang
189 reference(s)
27-NatureDesMathematiques.01.vv.Fra
189 reference(s)		28-Galerie_ArtAndScience.FV
189 reference(s)
29-Galerie_NewPictures.FV
186 reference(s)		30-ExpV_VirE.01.Fra
183 reference(s)
31-Galerie_NumberTheory.FV
182 reference(s)		32-aquoiserventlesmathematiques.01
181 reference(s)
33-SurfaceProjector.01.Ang
179 reference(s)		34-UlamSpiral.01.Fra
178 reference(s)
35-ImagesDuVirtuel.01.Fra.FV
178 reference(s)		36-Galerie_ParticleSystems.FV
178 reference(s)
37-FloatingPointNumbers.01.Ang
177 reference(s)		38-NDimensionalDeterministicFractalSets.01.Fra
174 reference(s)
39-DieuScience.01.Fra
174 reference(s)		40-OrdinateurMathematiquesArt.01.Fra
173 reference(s)
41-GenieLogiciel.01.Fra
173 reference(s)		42-Galerie_SignalProcessing.FV
173 reference(s)
43-RealNumbers.01.Fra
172 reference(s)		44-OrdinateursEtCalculs.01.Fra
171 reference(s)
45-Informations_AboutPicturesAnimationsAndFiles.01.Ang
171 reference(s)		46-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
169 reference(s)
47-Galerie_TextureSynthesis.FV
169 reference(s)		48-Galerie_CelestialMechanics.FV
168 reference(s)
49-Autostereograms.01.
168 reference(s)		50-infinity.01.vv
167 reference(s)
51-Fractal.11
167 reference(s)		52-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
166 reference(s)
53-NDimensionalDeterministicFractalSets.01.Ang
162 reference(s)		54-present.01.
161 reference(s)
55-infinity.02.vv
161 reference(s)		56-NombresEtLumiere.01.vv.Fra
161 reference(s)
57-GoldenTriangle.01.Fra
161 reference(s)		58-Galerie_QuantumMechanics.FV
161 reference(s)
59-Galerie_DeterministicChaos.FV
161 reference(s)		60-RemarquesCerveau.01
160 reference(s)
61-MonodimensionalCellularAutomata.01.Ang
159 reference(s)		62-ImpossibleStructures.01.Fra
159 reference(s)
63-MathematiquesEtCinematographe.01.vv
158 reference(s)		64-create.03.
157 reference(s)
65-PerteDeLAssociativite.01
157 reference(s)		66-PatrimoineHumanite.02.Fra
156 reference(s)
67-ImpossibleStructures.01.Ang
156 reference(s)		68-fractal.01
152 reference(s)
69-IllusionConnaissance.02
152 reference(s)		70-EntrelacsIntertwinings.01.Fra
151 reference(s)
71-subject.01.
150 reference(s)		72-expv_vire.01.fra
150 reference(s)
73-ManyChaos.01.Fra
150 reference(s)		74-Galerie_Astrophysics.FV
149 reference(s)
75-VirtualChaos.01.Fra
148 reference(s)		76-ManyChaos.01.Ang
148 reference(s)
77-QuelquesQuestionsSurLaRecherche.01.Fra
147 reference(s)		78-Galerie_FluidMechanics.FV
146 reference(s)
79-AvantPropos.01.Fra
146 reference(s)		80-VirtualChaos.01.Ang
145 reference(s)
81-Galerie_BestOf.FV
145 reference(s)		82-Commentaires_Cube.01
145 reference(s)
83-ExpV_VirE.21
144 reference(s)		84-MathematiquesModeleOutilArtiste.02.Ang
143 reference(s)
85-GoldenTriangle.01.Ang
143 reference(s)		86-Informations_AboutPicturesAnimationsAndFiles.01.Fra
142 reference(s)
87-Galerie_SensitivityToRoundingOffErrors.FV
141 reference(s)		88-Fractal.02
141 reference(s)
89-ExpV_VirE.Ang
141 reference(s)		90-EntrelacsIntertwinings.01.Ang
140 reference(s)
91-AvantPropos.01.Ang
140 reference(s)		92-Commentaires_ModeleIsingBiDimensionnel.01
138 reference(s)
93-VisitesGaleriesEnfouies.01.Fra
137 reference(s)		94-OrdinateursEtCalculs.01.Ang
137 reference(s)
95-MathematiquesEtRepresentations.01.vv.Ang
137 reference(s)		96-LOG_xiMc.11
137 reference(s)
97-EnsembleDesGaleriesFractales.DIAPO.0001
134 reference(s)		98-MathematiquesPhysiqueFractales.01
133 reference(s)
99-ImagesDuVirtuel.01.Fra
133 reference(s)		100-DuModeleALaPriseDeDecision.01.Fra
133 reference(s)
101-Commentaires_DefinitionTransformeeDeFourier.01
133 reference(s)		102-VisitesGaleriesEnfouies.01.Ang
132 reference(s)
103-An2000.01.Ang
132 reference(s)		104-fairedelarecherche.01.vv
131 reference(s)
105-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
131 reference(s)		106-AVirtualSpaceTimeTravelMachine.Ang.FV
131 reference(s)
107-Spheres.01
130 reference(s)		108-ExpV_VirE.Fra
130 reference(s)
109-Commentaires_ProblemeDesNCorps.01
130 reference(s)		110-AQuoiServentLesMathematiques.03
130 reference(s)
111-EnsembleDesGaleries.DIAPO.0001
128 reference(s)		112-Galerie_AnthropomorphicPatterns.DIAPO.0006
127 reference(s)
113-demo_14.FV
126 reference(s)		114-Galerie_AnthropomorphicPatterns.DIAPO.0007
126 reference(s)
115-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
126 reference(s)		116-Commentaires_DefinitionComplexes.01
126 reference(s)
117-Galerie_AnthropomorphicPatterns.DIAPO.0017
124 reference(s)		118-Galerie_AnthropomorphicPatterns.DIAPO.0015
124 reference(s)
119-Galerie_AnthropomorphicPatterns.DIAPO.0009
124 reference(s)		120-Galerie_AnthropomorphicPatterns.DIAPO.0033
123 reference(s)
121-Galerie_AnthropomorphicPatterns.DIAPO.0020
123 reference(s)		122-Galerie_AnthropomorphicPatterns.DIAPO.0018
123 reference(s)
123-Galerie_AnthropomorphicPatterns.DIAPO.0016
123 reference(s)		124-Galerie_AnthropomorphicPatterns.DIAPO.0014
123 reference(s)
125-Galerie_AnthropomorphicPatterns.DIAPO.0013
123 reference(s)		126-Galerie_AnthropomorphicPatterns.DIAPO.0008
123 reference(s)
127-ExpV_VirE.01.Ang
123 reference(s)		128-PerteDeLAssociativite.01.MUL3
122 reference(s)

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




Copyright © Jean-François COLONNA, 2012-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2012-2024.