Monthly Best Of on 09/28/2012




Quaternionic Julia island

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 09/28/2012 and last updated on 10/03/2024 17:02:26 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The generalized Ulam spiral
1-1710 reference(s)		Happy new year 2000
2-108 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-106 reference(s)		Artistic view of the prime numbers
4-105 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
5-92 reference(s)		Zoom in on the von Koch curve
6-89 reference(s)		Quantum vacuum fluctuations
7-75 reference(s)		Mystery cliffs at sunrise
8-75 reference(s)
Mystery mountain at sunrise
9-74 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
10-72 reference(s)		Quark and gluon structure of a nucleon
11-70 reference(s)		An interpolation between the Möbius strip and the Klein bottle defined by means of three sets of bidimensional fields
12-69 reference(s)
Mountains at sunrise
13-69 reference(s)		The Lorenz attractor
14-68 reference(s)		Artistic view of a nucleon
15-67 reference(s)		Octonionic clovers with extended arithmetics
16-66 reference(s)
Animation of bidimensional textures by means of the self-transformation of a fractal process
17-65 reference(s)		Synthesis of bidimensional textures by means of a fractal process
18-62 reference(s)		Quaternionic lion with extended arithmetics
19-60 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
20-59 reference(s)
A simple geometrical structure
21-55 reference(s)		The random walk of photons escaping the Sun
22-52 reference(s)		Some elementary symbols used to built impossible structures
23-51 reference(s)		The random walk of photons escaping the Sun
24-50 reference(s)
7-foil torus knots
25-50 reference(s)		Autostereogram with an hidden volcano
26-49 reference(s)		Texture animation by means of the Generalized Product
27-45 reference(s)		From the infinitely small to the infinitely big
28-45 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
29-45 reference(s)		Synthesis of bidimensional textures by means of a fractal process
30-44 reference(s)		7-foil torus knot on its torus
31-44 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
32-44 reference(s)
Synthesis of bidimensional textures by means of a fractal process
33-43 reference(s)		Monument Valley à la David Hockney
34-43 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
35-43 reference(s)		Intertwining based on the geometry of the Bonan-Jeener-Klein triple bottle
36-43 reference(s)
Intertwining
37-42 reference(s)		A pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(0.671070,0.109841,0,0) -tridimensional cross-section-
38-42 reference(s)		Untitled 0055
39-41 reference(s)		Synthesis of bidimensional textures by means of the self-transformation of a fractal process
40-41 reference(s)
Cauliflowers, seaweeds, shells,...
41-40 reference(s)		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
42-39 reference(s)		Voronoi diagrams
43-38 reference(s)		The Golden Rectangle
44-38 reference(s)
Jean-François COLONNA (on 11/17/1994)with its fractal mountains
45-37 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
46-36 reference(s)		Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
47-35 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
48-35 reference(s)
A dynamic fractal surface (four iterations)defined by means of three sets of bidimensional fields
49-34 reference(s)		Fractal synthesis of mountains with vegetation and stormy clouds
50-34 reference(s)		Quark and gluon structure of a nucleon
51-33 reference(s)		From Pluto to the Sun (non linear scales)
52-33 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
53-33 reference(s)		Hypercube
54-33 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
55-32 reference(s)		Autostereogram with an hidden volcano
56-31 reference(s)
Botticelli anomaly on the Moon
57-31 reference(s)		A set of 4x3 stereograms of a tridimensional filamentous fractal structure
58-30 reference(s)		Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
59-29 reference(s)		The generalized Ulam spiral displaying 100 numbers
60-29 reference(s)
Artistic variation on fractal 3/5/7-foil torus knots
61-29 reference(s)		Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
62-29 reference(s)		Welcome aboard a Virtual Space-Time Travel Machine
63-28 reference(s)		Tridimensional visualization of the ABC conjecture
64-28 reference(s)
A set of 4x3 stereograms of a tridimensional fractal structure -the space-time foam?-
65-27 reference(s)		Mountains at sunrise
66-26 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
67-26 reference(s)		The generalized Ulam spiral displaying 1024 numbers
68-25 reference(s)
Quark and gluon structure of the nucleon
69-25 reference(s)		Quark and gluon structure of a nucleon
70-25 reference(s)		The Möbius strip
71-25 reference(s)		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
72-25 reference(s)
Artistic view of the Big Bang
73-24 reference(s)		Along the border of the Mandelbrot set
74-24 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
75-24 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
76-24 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)
77-24 reference(s)		Birds and fishes
78-24 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
79-24 reference(s)		A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
80-23 reference(s)
The Birth of the Universe
81-23 reference(s)		Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
82-23 reference(s)		Autostereogram with an hidden ring and ghost bows
83-22 reference(s)		Autostereogram with an hidden volcano
84-22 reference(s)
The Scream -a Tribute to Edvard Munch-
85-22 reference(s)		Animation of a sunrise on mountains
86-22 reference(s)		A set of 4x3 stereograms of a close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
87-22 reference(s)		Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
88-22 reference(s)
Clouds
89-21 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-
90-21 reference(s)		Artistic view (bird's-eye view)of an hexagonal tiling of the hyperbolic Poincaré disk -iteration 4-
91-20 reference(s)		Foggy Cliffs
92-20 reference(s)
Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
93-20 reference(s)		Octonionic mountains with extended arithmetics
94-20 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-
95-20 reference(s)		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
96-20 reference(s)
The octonionic Julia set computed with A=(0,1,0,0,0,0,0,0)-tridimensional cross-section-
97-20 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
98-20 reference(s)		Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
99-20 reference(s)		Impossible structure
100-20 reference(s)
A set of 4x3 stereograms of a fractal torus
101-20 reference(s)		Tridimensional visualization of a bidimensional turbulent flow -sensitivity to initial conditions (the Red one, the Green one and the Blue one)-
102-20 reference(s)		Triple impossible staircase
103-20 reference(s)		The construction process of the von Koch curve
104-19 reference(s)
Self-Portrait with intertwining
105-19 reference(s)		Tridimensional fractal aggregate obtained by means of a 50% pasting process during collisions of particles submitted to an attractive central field of gravity
106-19 reference(s)		A 'fractal plane' with overhangings defined by means of three bidimensional fields
107-19 reference(s)		Linear landscape interpolation with fog
108-19 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
109-19 reference(s)		Close-up on an hybrid pseudo-octonionic Mandelbrot-Julia set ('MandelBulb' like: a 'MandelJuliaBulb')-tridimensional cross-section-
110-19 reference(s)		A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) -tridimensional cross-section-
111-19 reference(s)		Periodical impossible structure
112-19 reference(s)
Bidimensional Hilbert Curve -iteration 4-
113-19 reference(s)		Tridimensional fractal structure -the space-time foam?-
114-19 reference(s)		A shell (Jeener surface 1)
115-19 reference(s)		Electron-positron scattering
116-19 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
117-19 reference(s)		Bidimensional brownian motion with a gaussian distribution law regarding the radial coordinate
118-19 reference(s)		Recursive chessboard
119-18 reference(s)		Untitled 0114
120-18 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
121-18 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
122-18 reference(s)		Pseudo Olympic Rings
123-18 reference(s)		Snowy multifractal mountains
124-18 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
125-18 reference(s)		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
126-18 reference(s)		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
127-18 reference(s)		A pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
128-18 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
764 reference(s)		2-AVirtualSpaceTimeTravelMachine.Ang
430 reference(s)
3-AQuoiServentLesMathematiques.01
411 reference(s)		4-An2000.01.Fra
365 reference(s)
5-aquoiserventlesmathematiques.01
340 reference(s)		6-help.
338 reference(s)
7-FloatingPointNumbers.01.Fra
284 reference(s)		8-MonodimensionalCellularAutomata.01.Fra
250 reference(s)
9-Fractal.01
250 reference(s)		10-catalogue.11
242 reference(s)
11-Stereogrammes_AutoStereogrammes.01
240 reference(s)		12-GenieLogiciel_VisualisationScientifique.01.vv
239 reference(s)
13-ExpV_VirE.11
233 reference(s)		14-FaireDeLaRecherche.01.vv
208 reference(s)
15-copyright.01.
205 reference(s)		16-Galerie_DeterministicFractalGeometry.FV
204 reference(s)
17-mail.01.vv
202 reference(s)		18-MathematiquesPhysiqueFractales.02
200 reference(s)
19-SurfaceProjector.01.Fra
199 reference(s)		20-UlamSpiral.01.Ang
198 reference(s)
21-Galerie_NewPictures.FV
189 reference(s)		22-NDimensionalDeterministicFractalSets.01.Ang
186 reference(s)
23-RealNumbers.01.Fra
184 reference(s)		24-Informations_AboutPicturesAnimationsAndFiles.01.Ang
184 reference(s)
25-AVirtualSpaceTimeTravelMachine.Fra
184 reference(s)		26-AProposSite.01.Fra
184 reference(s)
27-infinity.01.vv
183 reference(s)		28-Galerie_GeneralitiesVisualization.FV
182 reference(s)
29-Galerie_NumberTheory.FV
177 reference(s)		30-Galerie_ArtisticCreation.FV
175 reference(s)
31-GenieLogiciel.01.Fra
174 reference(s)		32-Galerie_ArtAndScience.FV
173 reference(s)
33-NDimensionalDeterministicFractalSets.01.Fra
172 reference(s)		34-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
172 reference(s)
35-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
170 reference(s)		36-ImpossibleStructures.01.Fra
169 reference(s)
37-FloatingPointNumbers.01.Ang
169 reference(s)		38-Fractal.11
168 reference(s)
39-Kepler.02.
167 reference(s)		40-AnimFractal.01.
167 reference(s)
41-infinity.02.vv
166 reference(s)		42-UlamSpiral.01.Fra
166 reference(s)
43-NatureDesMathematiques.01.vv.Fra
166 reference(s)		44-SurfaceProjector.01.Ang
164 reference(s)
45-ImagesDuVirtuel.01.Fra.FV
163 reference(s)		46-IllusionConnaissance.02
162 reference(s)
47-GoldenTriangle.01.Fra
162 reference(s)		48-Galerie_TextureSynthesis.FV
162 reference(s)
49-OrdinateurMathematiquesArt.01.Fra
161 reference(s)		50-Spheres.01
160 reference(s)
51-NombresEtLumiere.01.vv.Fra
160 reference(s)		52-Galerie_DeterministicChaos.FV
159 reference(s)
53-MonodimensionalCellularAutomata.01.Ang
158 reference(s)		54-fractal.01
156 reference(s)
55-PerteDeLAssociativite.01
156 reference(s)		56-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
154 reference(s)
57-ManyChaos.01.Fra
153 reference(s)		58-GoldenTriangle.01.Ang
153 reference(s)
59-EntrelacsIntertwinings.01.Fra
153 reference(s)		60-PatrimoineHumanite.02.Fra
152 reference(s)
61-Fractal.02
152 reference(s)		62-Autostereograms.01.
152 reference(s)
63-MathematiquesEtCinematographe.01.vv
151 reference(s)		64-DieuScience.01.Fra
151 reference(s)
65-present.01.
150 reference(s)		66-VisitesGaleriesEnfouies.01.Fra
150 reference(s)
67-VirtualChaos.01.Ang
150 reference(s)		68-Galerie_ParticleSystems.FV
149 reference(s)
69-Commentaires_DefinitionComplexes.01
149 reference(s)		70-ImpossibleStructures.01.Ang
148 reference(s)
71-MathematiquesPhysiqueFractales.01
147 reference(s)		72-fairedelarecherche.01.vv
146 reference(s)
73-VirtualChaos.01.Fra
146 reference(s)		74-RemarquesCerveau.01
146 reference(s)
75-OrdinateursEtCalculs.01.Fra
146 reference(s)		76-Galerie_QuantumMechanics.FV
145 reference(s)
77-QuelquesQuestionsSurLaRecherche.01.Fra
144 reference(s)		78-Galerie_QuantumMechanics.DIAPO.0002
144 reference(s)
79-Galerie_CelestialMechanics.FV
144 reference(s)		80-Galerie_BestOf.FV
144 reference(s)
81-Informations_AboutPicturesAnimationsAndFiles.01.Fra
143 reference(s)		82-Commentaires_Cube.01
142 reference(s)
83-Vcatalogue.11
141 reference(s)		84-PerteDeLAssociativite.01.MUL3
141 reference(s)
85-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
140 reference(s)		86-create.03.
139 reference(s)
87-PerteDeLAssociativite.01.ADD3
139 reference(s)		88-ExpV_VirE.21
139 reference(s)
89-EntrelacsIntertwinings.01.Ang
139 reference(s)		90-AQuoiServentLesMathematiques.03
138 reference(s)
91-MathematiquesModeleOutilArtiste.02.Ang
137 reference(s)		92-EnsembleDesGaleriesFractales.DIAPO.0001
137 reference(s)
93-VisitesGaleriesEnfouies.01.Ang
136 reference(s)		94-Galerie_SensitivityToRoundingOffErrors.FV
136 reference(s)
95-Galerie_QuantumMechanics.DIAPO.0001
136 reference(s)		96-demo_14.FV
135 reference(s)
97-MathematiquesEtRepresentations.01.vv.Ang
135 reference(s)		98-ExpV_VirE.Ang
135 reference(s)
99-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
135 reference(s)		100-subject.01.
134 reference(s)
101-MathematiquesEtRepresentations.01.vv.Fra
134 reference(s)		102-Galerie_SignalProcessing.FV
134 reference(s)
103-Galerie_Astrophysics.FV
134 reference(s)		104-ManyChaos.01.Ang
133 reference(s)
105-EnsembleDesGaleries.DIAPO.0001
133 reference(s)		106-AQuoiServentLesMathematiques.02
133 reference(s)
107-OrdinateursEtCalculs.01.Ang
132 reference(s)		108-LOG_xiMc.11
132 reference(s)
109-MOSA.JFC.F1.F2.20031207
131 reference(s)		110-ImagesDuVirtuel.01.Fra
131 reference(s)
111-ArtScience.11.Ang
131 reference(s)		112-Commentaires_NKleinBottle.02
130 reference(s)
113-Galerie_FluidMechanics.FV
129 reference(s)		114-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
129 reference(s)
115-Commentaires_EnsembleMandelbrotQuaternion.01
129 reference(s)		116-AvantPropos.01.Ang
129 reference(s)
117-Galerie_QuantumMechanics.DIAPO.0005
128 reference(s)		118-DuModeleALImage.01.Fra
128 reference(s)
119-Commentaires_SystemeSolaire.01
128 reference(s)		120-MonumentValley.01.Fra
127 reference(s)
121-Commentaires_DefinitionTransformeeDeFourier.01
127 reference(s)		122-Commentaires_DefinitionOctonions.01
127 reference(s)
123-AVirtualSpaceTimeTravelMachine.Ang.FV
127 reference(s)		124-Commentaires_ModeleIsingBiDimensionnel.01
126 reference(s)
125-Commentaires_DefinitionPseudoOctonions.01
126 reference(s)		126-AvantPropos.01.Fra
126 reference(s)
127-HommageBenoitMandelbrot.21
125 reference(s)		128-Galerie_AnthropomorphicPatterns.DIAPO.0006
125 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.