Monthly Best Of on 05/28/2012




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 05/28/2012 and last updated on 10/03/2024 17:02:23 -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
1-146 reference(s)		Artistic view of the prime numbers
2-137 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-77 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
4-75 reference(s)
The random walk of photons escaping the Sun
5-73 reference(s)		Zoom in on the von Koch curve
6-69 reference(s)		From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
7-65 reference(s)		Mystery mountain at sunrise
8-57 reference(s)
Mystery cliffs at sunrise
9-56 reference(s)		Mountains at sunrise
10-55 reference(s)		The random walk of photons escaping the Sun
11-54 reference(s)		The Lorenz attractor
12-54 reference(s)
Quark and gluon structure of a nucleon
13-52 reference(s)		Quark and gluon structure of a nucleon
14-51 reference(s)		Artistic variation on the generalized Ulam spiral displaying 81 numbers
15-43 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
16-40 reference(s)
From the infinitely small to the infinitely big
17-38 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
18-37 reference(s)		Quantum vacuum fluctuations
19-35 reference(s)		A tridimensionally distorded aperiodic Penrose tiling of the Golden Decagon
20-35 reference(s)
Mountains at sunrise
21-35 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
22-35 reference(s)		Untitled 0152
23-33 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
24-33 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
25-31 reference(s)		Autostereogram with an hidden volcano
26-30 reference(s)		Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
27-30 reference(s)		A random triangular tiling of the plane
28-29 reference(s)
A 'fractal plane' with overhangings defined by means of three bidimensional fields
29-29 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
30-29 reference(s)		A tridimensionally distorded aperiodic Penrose tiling of the Golden Decagon
31-28 reference(s)		Intertwining
32-28 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)
33-28 reference(s)		An aperiodic Penrose tiling of the plane
34-27 reference(s)		Along the border of the Mandelbrot set
35-27 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
36-26 reference(s)
An aperiodic Penrose tiling of the Golden Decagon
37-25 reference(s)		An aperiodic Penrose tiling of the plane
38-25 reference(s)		An aperiodic Penrose tiling of the plane
39-24 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
40-24 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
41-24 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
42-23 reference(s)		Untitled 0149
43-23 reference(s)		Quark and gluon dynamics of the nucleon
44-23 reference(s)
Untitled 0148
45-23 reference(s)		A shell (Jeener surface 1)in motion
46-23 reference(s)		Electron-positron scattering
47-23 reference(s)		Rotation about the Y (vertical)axis of a tridimensional representation of quadridimensional Calabi-Yau manifolds that can also be viewed as a set of 4x3 stereograms -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
48-23 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
49-23 reference(s)		Untitled 0154
50-22 reference(s)		Untitled 0151
51-21 reference(s)		Untitled 0150
52-21 reference(s)
From Pluto to the Sun (non linear scales)
53-21 reference(s)		1-foil torus knot -obvious knot- on its torus and its asociated Möbius strip
54-21 reference(s)		Welcome aboard a Virtual Space-Time Travel Machine
55-21 reference(s)		Fractal structure of a nucleon
56-20 reference(s)
The generalized Ulam spiral displaying 100 numbers
57-20 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
58-20 reference(s)		Hypercube
59-20 reference(s)		16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
60-19 reference(s)
7-foil torus knot on its torus
61-19 reference(s)		Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
62-19 reference(s)		Quantum vacuum fluctuations
63-18 reference(s)		Autostereogram with an hidden ring and ghost bows
64-18 reference(s)
The generalized Ulam spiral displaying 81 numbers
65-17 reference(s)		The Golden Rectangle
66-17 reference(s)		An arbitrary surface (Jeener surface 2)in motion
67-17 reference(s)		Recursive intertwining
68-16 reference(s)
Autostereogram with an hidden volcano
69-16 reference(s)		The generalized Ulam spiral displaying 1024 numbers
70-16 reference(s)		An Archimedes spiral displaying 1000 numbers
71-16 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
72-16 reference(s)
An aperiodic non linear Penrose tiling of the plane
73-15 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
74-15 reference(s)		Autostereogram with an hidden volcano
75-15 reference(s)		The Solar System with a dark blue virtual planet -virtual planet point of view-
76-15 reference(s)
Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
77-15 reference(s)		Forward tridimensional integration of the wavelet filtering of a bidimensional fractal field with cross-section
78-15 reference(s)		The Möbius strip
79-15 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
80-15 reference(s)
Tridimensional Hilbert Curve -iteration 4-
81-15 reference(s)		Tridimensional Hilbert Curve -iteration 3-
82-15 reference(s)		The Jeener-Klein triple bottle
83-15 reference(s)		A random triangular tiling of the plane
84-14 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
85-14 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
86-14 reference(s)		Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
87-14 reference(s)		The Eratosthene sieve displaying 100x100 numbers
88-14 reference(s)
Animation of a sunrise on mountains
89-14 reference(s)		Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
90-14 reference(s)		Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
91-14 reference(s)		Bidimensional clouds or height field
92-14 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
93-14 reference(s)		The Ulam spiral displaying 2025 numbers
94-13 reference(s)		Quark and gluon structure of a nucleon
95-13 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Sun point of view-
96-13 reference(s)
A shell (Jeener surface 1)
97-13 reference(s)		Rotation about the Y (vertical)axis of a tridimensional fractal structure that can also be viewed as a set of 4x3 stereograms
98-12 reference(s)		An aperiodic Penrose tiling of the plane
99-12 reference(s)		A random triangular tiling of the plane
100-12 reference(s)
Autostereogram with an hidden volcano
101-12 reference(s)		Alien
102-12 reference(s)		Two identical grey rectangles in front of a grey scale
103-12 reference(s)		An arbitrary surface (Jeener surface 2)
104-12 reference(s)
Quark and gluon structure of the meson
105-12 reference(s)		A quaternionic Julia set -tridimensional cross-section-
106-12 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
107-12 reference(s)		A pseudo-periodical triangular tiling of the plane
108-11 reference(s)
Artistic view of an hexagonal tiling of the hyperbolic Poincaré disk -iteration 4-
109-11 reference(s)		A set of 4x3 stereograms of a few Babel Towers
110-11 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
111-11 reference(s)		Autostereogram of Monument Valley
112-11 reference(s)
The Solar System with a dark blue virtual planet -heliocentric point of view-
113-11 reference(s)		An arbitrary surface (Jeener surface 2)in motion
114-11 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-
115-11 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-
116-11 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
117-11 reference(s)		The Birth of the Universe
118-11 reference(s)		Bidimensional Hilbert Curve -iteration 4-
119-11 reference(s)		LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
120-11 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
121-10 reference(s)		Artistic view of the Big Bang
122-10 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
123-10 reference(s)		The Liouville function displayed as a bidimensional random walk for the integer numbers from 2 to 100001
124-10 reference(s)
True colors autostereogram of a fractal landscape
125-10 reference(s)		Quark and gluon structure of the nucleon
126-10 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-
127-10 reference(s)		Vibrating Tridimensional Hilbert Curve -iteration 3-
128-10 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
783 reference(s)		2-AVirtualSpaceTimeTravelMachine.Ang
400 reference(s)
3-An2000.01.Fra
353 reference(s)		4-help.
285 reference(s)
5-Fractal.01
283 reference(s)		6-Galerie_GeneralitiesVisualization.FV
238 reference(s)
7-UlamSpiral.01.Ang
233 reference(s)		8-GenieLogiciel_VisualisationScientifique.01.vv
228 reference(s)
9-SurfaceProjector.01.Fra
226 reference(s)		10-ImagesDuVirtuel.01.Fra.FV
225 reference(s)
11-FloatingPointNumbers.01.Fra
225 reference(s)		12-AQuoiServentLesMathematiques.01
224 reference(s)
13-Galerie_NumberTheory.FV
222 reference(s)		14-MonodimensionalCellularAutomata.01.Fra
215 reference(s)
15-FloatingPointNumbers.01.Ang
204 reference(s)		16-FaireDeLaRecherche.01.vv
200 reference(s)
17-Galerie_ArtisticCreation.FV
199 reference(s)		18-Stereogrammes_AutoStereogrammes.01
198 reference(s)
19-Galerie_DeterministicFractalGeometry.FV
197 reference(s)		20-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
196 reference(s)
21-Galerie_ArtAndScience.FV
193 reference(s)		22-NDimensionalDeterministicFractalSets.01.Ang
189 reference(s)
23-Galerie_NewPictures.FV
188 reference(s)		24-AVirtualSpaceTimeTravelMachine.Fra
187 reference(s)
25-Informations_AboutPicturesAnimationsAndFiles.01.Ang
185 reference(s)		26-NatureDesMathematiques.01.vv.Fra
183 reference(s)
27-Autostereograms.01.
182 reference(s)		28-MathematiquesPhysiqueFractales.02
181 reference(s)
29-AProposSite.01.Fra
181 reference(s)		30-EntrelacsIntertwinings.01.Fra
180 reference(s)
31-aquoiserventlesmathematiques.01
179 reference(s)		32-infinity.01.vv
177 reference(s)
33-SurfaceProjector.01.Ang
177 reference(s)		34-AnimFractal.01.
177 reference(s)
35-Fractal.11
176 reference(s)		36-NDimensionalDeterministicFractalSets.01.Fra
174 reference(s)
37-mail.01.vv
171 reference(s)		38-RealNumbers.01.Fra
170 reference(s)
39-copyright.01.
169 reference(s)		40-Kepler.02.
166 reference(s)
41-ImpossibleStructures.01.Ang
166 reference(s)		42-DieuScience.01.Fra
166 reference(s)
43-UlamSpiral.01.Fra
165 reference(s)		44-GenieLogiciel.01.Fra
165 reference(s)
45-Galerie_CelestialMechanics.FV
165 reference(s)		46-Galerie_ParticleSystems.FV
164 reference(s)
47-MonodimensionalCellularAutomata.01.Ang
163 reference(s)		48-ExpV_VirE.11
163 reference(s)
49-infinity.02.vv
162 reference(s)		50-fractal.01
162 reference(s)
51-IllusionConnaissance.02
161 reference(s)		52-RemarquesCerveau.01
160 reference(s)
53-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
160 reference(s)		54-Galerie_QuantumMechanics.FV
159 reference(s)
55-VirtualChaos.01.Fra
157 reference(s)		56-OrdinateurMathematiquesArt.01.Fra
154 reference(s)
57-EntrelacsIntertwinings.01.Ang
154 reference(s)		58-ImpossibleStructures.01.Fra
153 reference(s)
59-ManyChaos.01.Ang
151 reference(s)		60-NombresEtLumiere.01.vv.Fra
150 reference(s)
61-MathematiquesModeleOutilArtiste.02.Ang
150 reference(s)		62-Galerie_DeterministicChaos.FV
150 reference(s)
63-AvantPropos.01.Fra
150 reference(s)		64-ManyChaos.01.Fra
149 reference(s)
65-subject.01.
147 reference(s)		66-catalogue.11
147 reference(s)
67-Spheres.01
147 reference(s)		68-present.01.
145 reference(s)
69-VirtualChaos.01.Ang
145 reference(s)		70-OrdinateursEtCalculs.01.Fra
144 reference(s)
71-Galerie_Astrophysics.FV
144 reference(s)		72-PerteDeLAssociativite.01
143 reference(s)
73-OrdinateursEtCalculs.01.Ang
143 reference(s)		74-LOG_xiMc.11
143 reference(s)
75-ExpV_VirE.Ang
143 reference(s)		76-PatrimoineHumanite.02.Fra
142 reference(s)
77-Galerie_TextureSynthesis.FV
142 reference(s)		78-Galerie_BestOf.FV
142 reference(s)
79-AvantPropos.01.Ang
141 reference(s)		80-MathematiquesEtRepresentations.01.vv.Ang
140 reference(s)
81-Galerie_SensitivityToRoundingOffErrors.FV
140 reference(s)		82-fairedelarecherche.01.vv
138 reference(s)
83-create.03.
138 reference(s)		84-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
138 reference(s)
85-VisitesGaleriesEnfouies.01.Ang
136 reference(s)		86-EnsembleDesGaleries.DIAPO.0001
136 reference(s)
87-PerteDeLAssociativite.01.MUL3
135 reference(s)		88-VisitesGaleriesEnfouies.01.Fra
134 reference(s)
89-ImagesDuVirtuel.01.Fra
134 reference(s)		90-Fractal.02
134 reference(s)
91-MathematiquesEtCinematographe.01.vv
133 reference(s)		92-Galerie_SignalProcessing.FV
133 reference(s)
93-Galerie_FluidMechanics.FV
132 reference(s)		94-PerteDeLAssociativite.01.ADD3
131 reference(s)
95-demo_14.FV
129 reference(s)		96-EnsembleDesGaleriesFractales.DIAPO.0001
129 reference(s)
97-Commentaires_NKleinBottle.01
126 reference(s)		98-QuelquesQuestionsSurLaRecherche.01.Fra
125 reference(s)
99-Galerie_QuantumMechanics.DIAPO.0001
125 reference(s)		100-An2000.01.Ang
124 reference(s)
101-ExpV_VirE.Fra
123 reference(s)		102-EnsembleDesGaleries.DIAPO.0002
123 reference(s)
103-AQuoiServentLesMathematiques.03
122 reference(s)		104-Informations_AboutPicturesAnimationsAndFiles.01.Fra
121 reference(s)
105-Commentaires_ProblemeDesNCorps.01
121 reference(s)		106-Commentaires_DefinitionOctonions.01
121 reference(s)
107-Ariane501.01.Fra
121 reference(s)		108-An2000.11.Fra
121 reference(s)
109-Vcatalogue.11
120 reference(s)		110-MOSA.JFC.F1.F2.20031207
120 reference(s)
111-Commentaires_DefinitionTransformeeDeFourier.01
120 reference(s)		112-ArtScience.11.Fra
120 reference(s)
113-stereogrammes_autostereogrammes.01
119 reference(s)		114-HommageBenoitMandelbrot.21
119 reference(s)
115-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
119 reference(s)		116-AVirtualSpaceTimeTravelMachine.Ang.FV
119 reference(s)
117-AQuoiServentLesMathematiques.02
119 reference(s)		118-MonumentValley.01.Ang
118 reference(s)
119-MathematiquesPhysiqueFractales.01
118 reference(s)		120-Galerie_QuantumMechanics.DIAPO.0002
118 reference(s)
121-Commentaires_DefinitionComplexes.01
118 reference(s)		122-MathematiquesEtRepresentations.01.vv.Fra
117 reference(s)
123-An2000.04.Fra
117 reference(s)		124-monodimensionalcellularautomata.01.fra
116 reference(s)
125-ExpV_VirE.21
116 reference(s)		126-ExpV_VirE.01.Fra
116 reference(s)
127-catalogue.11..m4.
115 reference(s)		128-GenieLogiciel.01.Ang
115 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.