Monthly Best Of on 08/28/2012




Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-

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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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
1-90 reference(s)		 An interpolation between the Möbius strip and the Klein bottle defined by means of three sets of bidimensional fields
2-88 reference(s)		 From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
3-86 reference(s)		 Zoom in on the von Koch curve
4-85 reference(s)
Artistic view of the prime numbers
5-77 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
6-74 reference(s)		 Birds and fishes
7-70 reference(s)		 Quark and gluon structure of a nucleon
8-68 reference(s)
A set of 4x3 stereograms of a tridimensional filamentous fractal structure
9-65 reference(s)		 Quantum vacuum fluctuations
10-60 reference(s)		 The snake swallows its own tail
11-60 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
12-59 reference(s)
The generalized Ulam spiral
13-57 reference(s)		 Octonionic clovers with extended arithmetics
14-56 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
15-56 reference(s)		 A simple geometrical structure
16-55 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
17-52 reference(s)		 Self-Portrait with intertwining
18-51 reference(s)		 Quark and gluon structure of the nucleon
19-51 reference(s)		 Voronoi diagrams
20-49 reference(s)
Mystery mountain at sunrise
21-49 reference(s)		 Quaternionic lion with extended arithmetics
22-48 reference(s)		 Mystery cliffs at sunrise
23-48 reference(s)		 The random walk of photons escaping the Sun
24-47 reference(s)
Artistic view (bird's-eye view)of an hexagonal tiling of the hyperbolic Poincaré disk -iteration 4-
25-45 reference(s)		 Mountains at sunrise
26-44 reference(s)		 The Lorenz attractor
27-44 reference(s)		 7-foil torus knots
28-44 reference(s)
A set of 4x3 stereograms of a fractal sphere
29-44 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
30-43 reference(s)		 Happy new year 2000
31-42 reference(s)		 The random walk of photons escaping the Sun
32-40 reference(s)
Cauliflowers, seaweeds, shells,...
33-40 reference(s)		 Pseudo Olympic Rings
34-40 reference(s)		 Synthesis of bidimensional textures by means of a fractal process
35-40 reference(s)		 Rotation about X and Y axes of the Jeener-Klein triple bottle
36-40 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
37-39 reference(s)		 Synthesis of bidimensional textures by means of a fractal process
38-38 reference(s)		 Tridimensional fractal structure -the space-time foam?-
39-38 reference(s)		 Synthesis of bidimensional textures by means of a fractal process
40-37 reference(s)
A dynamic fractal surface (four iterations)defined by means of three sets of bidimensional fields
41-37 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
42-35 reference(s)		 Untitled 0055
43-34 reference(s)		 A fresco in the main hall of the Ecole Polytechnique -04/1986-
44-34 reference(s)
From Pluto to the Sun (non linear scales)
45-33 reference(s)		 Intertwining based on the geometry of the Bonan-Jeener-Klein triple bottle
46-32 reference(s)		 A pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(0.671070,0.109841,0,0) -tridimensional cross-section-
47-31 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
48-29 reference(s)
Quark and gluon structure of a nucleon
49-29 reference(s)		 Intertwining
50-28 reference(s)		 Autostereogram with an hidden volcano
51-25 reference(s)		 Electron-positron scattering
52-25 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
53-23 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
54-23 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
55-23 reference(s)		 Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
56-21 reference(s)
Artistic view of the Big Bang
57-21 reference(s)		 Autostereogram with an hidden volcano
58-21 reference(s)		 The generalized Ulam spiral displaying 1024 numbers
59-21 reference(s)		 Tridimensional spherical fractal structure
60-21 reference(s)
From the infinitely small to the infinitely big
61-21 reference(s)		 Intertwining
62-20 reference(s)		 Quark and gluon structure of a nucleon
63-20 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)
64-20 reference(s)
The Möbius strip
65-20 reference(s)		 Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
66-20 reference(s)		 Autostereogram with an hidden ring and ghost bows
67-19 reference(s)		 Quark and gluon dynamics of the nucleon
68-19 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
69-19 reference(s)		 The generalized Ulam spiral displaying 100 numbers
70-19 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
71-19 reference(s)		 Rotation about the Y (vertical)axis of the 1-foil torus knot on its torus and its asociated Möbius strip, that can also be viewed as a set of 4x3 stereograms
72-19 reference(s)
Jean-François COLONNA (on 11/17/1994)with its fractal mountains
73-19 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
74-19 reference(s)		 Quantum vacuum fluctuations
75-18 reference(s)		 Along the border of the Mandelbrot set
76-18 reference(s)
A perfect bidimensional piston with following initial conditions: still piston, high temperature particles at left and low temperature particles at right, in a bidimensional box submitted to a vertical field of gravity
77-18 reference(s)		 An interpolation between a rectangle and a torus
78-18 reference(s)		 LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
79-18 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
80-17 reference(s)
A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
81-17 reference(s)		 Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
82-17 reference(s)		 A set of 4x3 stereograms of a fractal Klein bottle
83-17 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
84-17 reference(s)
Alien
85-16 reference(s)		 The Scream -a Tribute to Edvard Munch-
86-16 reference(s)		 Mountains at sunrise
87-16 reference(s)		 Untitled 0155 -a Tribute to Yves Tanguy-
88-16 reference(s)
Rotation about the Y (vertical)axis of the 7-foil torus knot on its torus, that can also be viewed as a set of 4x3 stereograms
89-16 reference(s)		 7-foil torus knot on its torus
90-16 reference(s)		 The Birth of the Universe
91-16 reference(s)		 Tridimensional fractal structure
92-16 reference(s)
Electron-neutrino scattering
93-16 reference(s)		 Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
94-16 reference(s)		 An aperiodic Penrose tiling of the plane
95-15 reference(s)		 Animation of a natural form
96-15 reference(s)
Pseudo Olympic Rings
97-15 reference(s)		 A dynamic 'crumpled' Klein bottle defined by means of three sets of bidimensional fields
98-15 reference(s)		 Hypercube
99-15 reference(s)		 Tridimensional filamentous fractal structure
100-15 reference(s)
A fractal Möbius strip
101-15 reference(s)		 Rotation of a shell (Jeener surface 1)
102-15 reference(s)		 16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
103-14 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
104-14 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
105-14 reference(s)		 24 evenly distributed points on a sphere by means of simulated annealing
106-14 reference(s)		 A 'fractal plane' with overhangings defined by means of three bidimensional fields
107-14 reference(s)		 Animation of a sunrise on mountains
108-14 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
109-14 reference(s)		 Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
110-14 reference(s)		 A fractal Klein bottle
111-14 reference(s)		 Tridimensional filamentous fractal structure
112-14 reference(s)
A set of 4x3 stereograms of a tridimensional fractal structure
113-14 reference(s)		 Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
114-13 reference(s)		 Along the border of the Mandelbrot set
115-13 reference(s)		 Intertwining
116-13 reference(s)
An animation of the intertwining based on the geometry of the sphere
117-13 reference(s)		 Autostereogram with an hidden volcano
118-13 reference(s)		 Quaternionic butterfly with extended arithmetics -a Tribute to Laurent Schwartz-
119-13 reference(s)		 'There is a war' -a Tribute to Leonard Cohen-
120-13 reference(s)
Artistic variation on the generalized Ulam spiral displaying 81 numbers
121-13 reference(s)		 An Archimedes spiral displaying 1000 numbers
122-13 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
123-13 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation
124-13 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-
125-13 reference(s)		 Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
126-13 reference(s)		 Tridimensional fractal structure
127-13 reference(s)		 Earthquake with multifractal mountains
128-13 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
651 reference(s)		 2-An2000.01.Fra
343 reference(s)
3-AVirtualSpaceTimeTravelMachine.Ang
328 reference(s)		 4-help.
266 reference(s)
5-Fractal.01
259 reference(s)		 6-AQuoiServentLesMathematiques.01
235 reference(s)
7-GenieLogiciel_VisualisationScientifique.01.vv
233 reference(s)		 8-SurfaceProjector.01.Fra
231 reference(s)
9-MonodimensionalCellularAutomata.01.Fra
229 reference(s)		 10-FloatingPointNumbers.01.Fra
213 reference(s)
11-ExpV_VirE.11
206 reference(s)		 12-ImagesDuVirtuel.01.Fra.FV
199 reference(s)
13-SurfaceProjector.01.Ang
193 reference(s)		 14-Stereogrammes_AutoStereogrammes.01
191 reference(s)
15-Informations_AboutPicturesAnimationsAndFiles.01.Ang
184 reference(s)		 16-Galerie_GeneralitiesVisualization.FV
183 reference(s)
17-Galerie_ArtisticCreation.FV
183 reference(s)		 18-catalogue.11
182 reference(s)
19-aquoiserventlesmathematiques.01
181 reference(s)		 20-MathematiquesPhysiqueFractales.02
178 reference(s)
21-Galerie_DeterministicFractalGeometry.FV
177 reference(s)		 22-NDimensionalDeterministicFractalSets.01.Fra
176 reference(s)
23-Galerie_NewPictures.FV
176 reference(s)		 24-NDimensionalDeterministicFractalSets.01.Ang
175 reference(s)
25-AVirtualSpaceTimeTravelMachine.Fra
175 reference(s)		 26-copyright.01.
174 reference(s)
27-Galerie_NumberTheory.FV
174 reference(s)		 28-mail.01.vv
173 reference(s)
29-AProposSite.01.Fra
173 reference(s)		 30-FaireDeLaRecherche.01.vv
172 reference(s)
31-RealNumbers.01.Fra
170 reference(s)		 32-GenieLogiciel.01.Fra
170 reference(s)
33-Fractal.11
168 reference(s)		 34-ImpossibleStructures.01.Fra
166 reference(s)
35-Galerie_ArtAndScience.FV
164 reference(s)		 36-GoldenTriangle.01.Ang
162 reference(s)
37-Galerie_ParticleSystems.FV
162 reference(s)		 38-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
162 reference(s)
39-Galerie_CelestialMechanics.FV
161 reference(s)		 40-Kepler.02.
159 reference(s)
41-NatureDesMathematiques.01.vv.Fra
157 reference(s)		 42-MonodimensionalCellularAutomata.01.Ang
157 reference(s)
43-IllusionConnaissance.02
155 reference(s)		 44-Galerie_TextureSynthesis.FV
155 reference(s)
45-Galerie_DeterministicChaos.FV
155 reference(s)		 46-FloatingPointNumbers.01.Ang
155 reference(s)
47-AnimFractal.01.
154 reference(s)		 48-UlamSpiral.01.Fra
153 reference(s)
49-VirtualChaos.01.Fra
152 reference(s)		 50-Autostereograms.01.
152 reference(s)
51-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
151 reference(s)		 52-present.01.
150 reference(s)
53-infinity.02.vv
150 reference(s)		 54-infinity.01.vv
150 reference(s)
55-Vcatalogue.11
149 reference(s)		 56-EntrelacsIntertwinings.01.Fra
149 reference(s)
57-DieuScience.01.Fra
148 reference(s)		 58-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
147 reference(s)
59-UlamSpiral.01.Ang
146 reference(s)		 60-RemarquesCerveau.01
146 reference(s)
61-Informations_GoodNewsAndBadNews.01.Fra
145 reference(s)		 62-Galerie_BestOf.FV
145 reference(s)
63-OrdinateurMathematiquesArt.01.Fra
144 reference(s)		 64-NombresEtLumiere.01.vv.Fra
144 reference(s)
65-EntrelacsIntertwinings.01.Ang
144 reference(s)		 66-PatrimoineHumanite.02.Fra
143 reference(s)
67-MathematiquesEtCinematographe.01.vv
143 reference(s)		 68-Commentaires_Cube.01
143 reference(s)
69-Spheres.01
142 reference(s)		 70-ImpossibleStructures.01.Ang
142 reference(s)
71-Fractal.02
141 reference(s)		 72-OrdinateursEtCalculs.01.Fra
140 reference(s)
73-Informations_AboutPicturesAnimationsAndFiles.01.Fra
140 reference(s)		 74-GoldenTriangle.01.Fra
140 reference(s)
75-ExpV_VirE.Ang
138 reference(s)		 76-ExpV_VirE.21
138 reference(s)
77-subject.01.
137 reference(s)		 78-Galerie_QuantumMechanics.FV
137 reference(s)
79-ExpV_VirE.Fra
136 reference(s)		 80-PerteDeLAssociativite.01
135 reference(s)
81-ExpV_VirE.01.Fra
135 reference(s)		 82-EnsembleDesGaleriesFractales.DIAPO.0001
135 reference(s)
83-Commentaires_DefinitionOctonions.01
135 reference(s)		 84-AQuoiServentLesMathematiques.03
135 reference(s)
85-fractal.01
134 reference(s)		 86-VirtualChaos.01.Ang
134 reference(s)
87-MathematiquesEtRepresentations.01.vv.Ang
133 reference(s)		 88-Commentaires_NKleinBottle.01
133 reference(s)
89-ImagesDuVirtuel.01.Fra
132 reference(s)		 90-Commentaires_DefinitionTransformeeDeFourier.01
132 reference(s)
91-Commentaires_DefinitionComplexes.01
132 reference(s)		 92-demo_14.FV
131 reference(s)
93-QuelquesQuestionsSurLaRecherche.01.Fra
131 reference(s)		 94-MathematiquesPhysiqueFractales.01
131 reference(s)
95-MathematiquesModeleOutilArtiste.02.Ang
131 reference(s)		 96-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
131 reference(s)
97-AQuoiServentLesMathematiques.02
131 reference(s)		 98-PerteDeLAssociativite.01.MUL3
130 reference(s)
99-Commentaires_ProblemeDesNCorps.01
130 reference(s)		 100-Ariane501.01.Fra
130 reference(s)
101-ManyChaos.01.Fra
129 reference(s)		 102-LOG_xiMc.11
129 reference(s)
103-create.03.
128 reference(s)		 104-Commentaires_DefinitionQuaternions.01
128 reference(s)
105-VisitesGaleriesEnfouies.01.Fra
127 reference(s)		 106-Commentaires_EspaceLyapunovComplexe.01
127 reference(s)
107-VisitesGaleriesEnfouies.01.Ang
126 reference(s)		 108-Commentaires_NKleinBottle.02
126 reference(s)
109-PerteDeLAssociativite.01.ADD3
125 reference(s)		 110-OrdinateursEtCalculs.01.Ang
125 reference(s)
111-MonumentValley.01.Fra
125 reference(s)		 112-HommageBenoitMandelbrot.21
125 reference(s)
113-real.01.vv.
124 reference(s)		 114-Galerie_Astrophysics.FV
124 reference(s)
115-Galerie_AnthropomorphicPatterns.FV
124 reference(s)		 116-VisSci_SciVis.02
123 reference(s)
117-Galerie_SensitivityToRoundingOffErrors.FV
123 reference(s)		 118-Commentaires_StructuresVivantesRecursives.01
123 reference(s)
119-AvantPropos.01.Fra
123 reference(s)		 120-ArtScience.11.Fra
123 reference(s)
121-An2000.11.Fra
122 reference(s)		 122-IllusionConnaissance.01
121 reference(s)
123-Galerie_SignalProcessing.FV
121 reference(s)		 124-Galerie_FluidMechanics.FV
121 reference(s)
125-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
121 reference(s)		 126-Commentaires_ModeleIsingBiDimensionnel.01
121 reference(s)
127-Commentaires_EnsembleMandelbrotQuaternion.01
121 reference(s)		 128-An2000.04.Fra
121 reference(s)

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Copyright © Jean-François COLONNA, 2012-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2012-2023.