Monthly Best Of on 06/28/2012




Intertwining based on the geometry of a disk

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 06/28/2012 and last updated on 11/14/2023 17:48:03 -CET-)




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
1-168 reference(s)		 Zoom in on the von Koch curve
2-87 reference(s)		 From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
3-87 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
4-83 reference(s)
Mystery mountain at sunrise
5-73 reference(s)		 Mystery cliffs at sunrise
6-68 reference(s)		 Mountains at sunrise
7-68 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
8-67 reference(s)
The random walk of photons escaping the Sun
9-65 reference(s)		 Artistic view of the prime numbers
10-65 reference(s)		 The Lorenz attractor
11-46 reference(s)		 The random walk of photons escaping the Sun
12-45 reference(s)
From the infinitely small to the infinitely big
13-45 reference(s)		 Quark and gluon structure of a nucleon
14-44 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
15-39 reference(s)		 Along the border of the Mandelbrot set
16-33 reference(s)
Artistic view of an hexagonal tiling of the hyperbolic Poincaré disk -iteration 4-
17-33 reference(s)		 Autostereogram with an hidden volcano
18-30 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
19-29 reference(s)		 From Pluto to the Sun (non linear scales)
20-29 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
21-29 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
22-28 reference(s)		 Autostereogram with an hidden volcano
23-27 reference(s)		 Artistic view of an hexagonal tiling of the hyperbolic Poincaré disk -iteration 4-
24-25 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)
25-25 reference(s)		 7-foil torus knot on its torus
26-25 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
27-24 reference(s)		 The generalized Ulam spiral displaying 100 numbers
28-24 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
29-24 reference(s)		 Quantum vacuum fluctuations
30-23 reference(s)		 The Borromean Rings
31-23 reference(s)		 Welcome aboard a Virtual Space-Time Travel Machine
32-23 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
33-23 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
34-23 reference(s)		 Quaternionic butterfly with extended arithmetics -a Tribute to Laurent Schwartz-
35-22 reference(s)		 An hexagonal tiling of the hyperbolic Poincaré disk -iteration 5-
36-22 reference(s)
Quark and gluon structure of a nucleon
37-22 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
38-22 reference(s)		 1-foil torus knot -obvious knot- on its torus and its asociated Möbius strip
39-22 reference(s)		 Autostereogram with an hidden ring and ghost bows
40-21 reference(s)
The Borromean Rings
41-21 reference(s)		 A 'fractal plane' with overhangings defined by means of three bidimensional fields
42-21 reference(s)		 Mountains at sunrise
43-21 reference(s)		 Untitled 0155 -a Tribute to Yves Tanguy-
44-21 reference(s)
Jean-François COLONNA (on 11/17/1994)with its fractal mountains
45-21 reference(s)		 Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
46-21 reference(s)		 Hypercube
47-21 reference(s)		 Quantum vacuum fluctuations
48-20 reference(s)
Electron-positron scattering
49-20 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
50-20 reference(s)		 Intertwining
51-19 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
52-19 reference(s)
Autostereogram with an hidden volcano
53-18 reference(s)		 Animation of a natural form
54-18 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
55-18 reference(s)		 The u=v line on the Bonan-Jeener-Klein triple bottle and a strip
56-18 reference(s)
Artistic view of the Big Bang
57-17 reference(s)		 Animation of a sunrise on mountains
58-17 reference(s)		 Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
59-17 reference(s)		 The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
60-17 reference(s)
Happy new year 2000
61-17 reference(s)		 A shell (Jeener surface 1)in motion
62-17 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
63-17 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
64-16 reference(s)
Autostereogram with an hidden volcano
65-16 reference(s)		 Artistic view (bird's-eye view)of an hexagonal tiling of the hyperbolic Poincaré disk -iteration 4-
66-16 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
67-16 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
68-16 reference(s)
From Pluto to the Sun -extrapolation 1- (non linear scales)
69-16 reference(s)		 Triple impossible staircase
70-16 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
71-16 reference(s)		 Along the border of the Mandelbrot set
72-15 reference(s)
True colors autostereogram of a fractal landscape
73-15 reference(s)		 The Jeener-Klein triple bottle
74-15 reference(s)		 A tridimensionally distorded aperiodic Penrose tiling of the Golden Decagon
75-14 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
76-14 reference(s)
The random walk of photons escaping the Sun
77-14 reference(s)		 Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
78-14 reference(s)		 A shell (Jeener surface 1)
79-14 reference(s)		 LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
80-14 reference(s)
The Scream -a Tribute to Edvard Munch-
81-13 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
82-13 reference(s)		 Rotation about the X axis of the Lorenz attractor
83-13 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
84-13 reference(s)
The evolution of the Klein bottle using the Lorenz attractor
85-13 reference(s)		 An Archimedes spiral displaying 1000 numbers
86-12 reference(s)		 The generalized Ulam spiral
87-12 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
88-12 reference(s)
The Möbius strip
89-12 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-
90-12 reference(s)		 The Birth of the Universe
91-12 reference(s)		 Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
92-12 reference(s)
La Génèse (1974)
93-12 reference(s)		 The snake swallows its own tail
94-12 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
95-12 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
96-12 reference(s)
Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
97-12 reference(s)		 A tridimensionally distorded aperiodic Penrose tiling of the Golden Decagon
98-11 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
99-11 reference(s)		 Self-Portrait with intertwining
100-11 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
101-11 reference(s)		 The generalized Ulam spiral displaying 1024 numbers
102-11 reference(s)		 Artistic view of an hexagonal tiling of the hyperbolic Poincaré disk -iteration 4-
103-11 reference(s)		 A set of 4x3 stereograms of a few Babel Towers
104-11 reference(s)
Mountains and light clouds
105-11 reference(s)		 A set of 4x3 stereograms of a close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
106-11 reference(s)		 Bidimensional clouds or height field
107-11 reference(s)		 Tridimensional visualization of a bidimensional turbulent flow
108-11 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
109-10 reference(s)		 Universe or Multiverse -The fractal Universe-?
110-10 reference(s)		 Recursive intertwining
111-10 reference(s)		 Autostereogram with an hidden volcano
112-10 reference(s)
Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
113-10 reference(s)		 The numerical irreversibility of the bidimensional billiard
114-10 reference(s)		 Quaternionic lion with extended arithmetics
115-10 reference(s)		 The Borromean Rings
116-10 reference(s)
Untitled 0156
117-10 reference(s)		 The generalized Ulam spiral
118-10 reference(s)		 Autostereogram of Monument Valley
119-10 reference(s)		 An arbitrary surface (Jeener surface 2)
120-10 reference(s)
A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
121-10 reference(s)		 Tridimensional visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
122-10 reference(s)		 Triple impossible staircase and a paradoxal structure
123-10 reference(s)		 Steep island at sunset
124-10 reference(s)
display of Ph(Zeta)inside [-50.0,+50.0]x[-50.0,+50.0]
125-9 reference(s)		 Untitled 0154
126-9 reference(s)		 Intertwining
127-9 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
128-9 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
823 reference(s)		 2-AVirtualSpaceTimeTravelMachine.Ang
428 reference(s)
3-An2000.01.Fra
404 reference(s)		 4-Autostereograms.01.
373 reference(s)
5-Informations_AboutPicturesAnimationsAndFiles.01.Ang
356 reference(s)		 6-help.
305 reference(s)
7-Fractal.01
293 reference(s)		 8-MonodimensionalCellularAutomata.01.Fra
252 reference(s)
9-Galerie_ArtisticCreation.FV
251 reference(s)		 10-AQuoiServentLesMathematiques.01
247 reference(s)
11-GenieLogiciel_VisualisationScientifique.01.vv
245 reference(s)		 12-ImagesDuVirtuel.01.Fra.FV
242 reference(s)
13-FloatingPointNumbers.01.Fra
241 reference(s)		 14-Galerie_GeneralitiesVisualization.FV
232 reference(s)
15-FaireDeLaRecherche.01.vv
232 reference(s)		 16-AVirtualSpaceTimeTravelMachine.Fra
229 reference(s)
17-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
221 reference(s)		 18-Galerie_ArtAndScience.FV
220 reference(s)
19-SurfaceProjector.01.Fra
219 reference(s)		 20-Stereogrammes_AutoStereogrammes.01
217 reference(s)
21-SurfaceProjector.01.Ang
214 reference(s)		 22-Galerie_NumberTheory.FV
214 reference(s)
23-OrdinateurMathematiquesArt.01.Fra
212 reference(s)		 24-Galerie_ParticleSystems.FV
211 reference(s)
25-Fractal.11
211 reference(s)		 26-AProposSite.01.Fra
210 reference(s)
27-Galerie_DeterministicFractalGeometry.FV
207 reference(s)		 28-NDimensionalDeterministicFractalSets.01.Ang
203 reference(s)
29-NDimensionalDeterministicFractalSets.01.Fra
196 reference(s)		 30-AnimFractal.01.
195 reference(s)
31-ExpV_VirE.11
193 reference(s)		 32-aquoiserventlesmathematiques.01
192 reference(s)
33-infinity.01.vv
190 reference(s)		 34-Galerie_NewPictures.FV
190 reference(s)
35-MathematiquesPhysiqueFractales.02
189 reference(s)		 36-UlamSpiral.01.Ang
185 reference(s)
37-NatureDesMathematiques.01.vv.Fra
184 reference(s)		 38-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
184 reference(s)
39-Galerie_TextureSynthesis.FV
184 reference(s)		 40-fairedelarecherche.01.vv
183 reference(s)
41-EntrelacsIntertwinings.01.Fra
183 reference(s)		 42-fractal.01
182 reference(s)
43-GenieLogiciel.01.Fra
180 reference(s)		 44-ImpossibleStructures.01.Ang
179 reference(s)
45-Galerie_CelestialMechanics.FV
179 reference(s)		 46-copyright.01.
177 reference(s)
47-FloatingPointNumbers.01.Ang
177 reference(s)		 48-RealNumbers.01.Fra
176 reference(s)
49-Galerie_QuantumMechanics.FV
175 reference(s)		 50-DieuScience.01.Fra
175 reference(s)
51-UlamSpiral.01.Fra
173 reference(s)		 52-NombresEtLumiere.01.vv.Fra
173 reference(s)
53-ImpossibleStructures.01.Fra
172 reference(s)		 54-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
172 reference(s)
55-IllusionConnaissance.02
170 reference(s)		 56-mail.01.vv
169 reference(s)
57-GoldenTriangle.01.Fra
169 reference(s)		 58-Galerie_DeterministicChaos.FV
169 reference(s)
59-MonodimensionalCellularAutomata.01.Ang
168 reference(s)		 60-Kepler.02.
163 reference(s)
61-Vcatalogue.11
162 reference(s)		 62-VirtualChaos.01.Fra
161 reference(s)
63-AvantPropos.01.Fra
160 reference(s)		 64-OrdinateursEtCalculs.01.Fra
159 reference(s)
65-EntrelacsIntertwinings.01.Ang
157 reference(s)		 66-ManyChaos.01.Ang
156 reference(s)
67-Galerie_SensitivityToRoundingOffErrors.FV
156 reference(s)		 68-PatrimoineHumanite.02.Fra
154 reference(s)
69-RemarquesCerveau.01
153 reference(s)		 70-Galerie_Astrophysics.FV
153 reference(s)
71-infinity.02.vv
152 reference(s)		 72-VirtualChaos.01.Ang
152 reference(s)
73-AQuoiServentLesMathematiques.03
151 reference(s)		 74-GoldenTriangle.01.Ang
150 reference(s)
75-Galerie_SignalProcessing.FV
150 reference(s)		 76-present.01.
148 reference(s)
77-Galerie_BestOf.FV
148 reference(s)		 78-AvantPropos.01.Ang
147 reference(s)
79-PerteDeLAssociativite.01
146 reference(s)		 80-Informations_AboutPicturesAnimationsAndFiles.01.Fra
146 reference(s)
81-VisitesGaleriesEnfouies.01.Fra
144 reference(s)		 82-EnsembleDesGaleries.DIAPO.0001
143 reference(s)
83-catalogue.11
142 reference(s)		 84-VisitesGaleriesEnfouies.01.Ang
142 reference(s)
85-MathematiquesEtCinematographe.01.vv
140 reference(s)		 86-ImagesDuVirtuel.01.Fra
140 reference(s)
87-EnsembleDesGaleriesFractales.DIAPO.0001
140 reference(s)		 88-Spheres.01
139 reference(s)
89-OrdinateursEtCalculs.01.Ang
139 reference(s)		 90-MathematiquesModeleOutilArtiste.02.Ang
138 reference(s)
91-Galerie_FluidMechanics.FV
138 reference(s)		 92-ExpV_VirE.Ang
138 reference(s)
93-MathematiquesEtRepresentations.01.vv.Ang
137 reference(s)		 94-ArtScience.11.Fra
137 reference(s)
95-AQuoiServentLesMathematiques.02
137 reference(s)		 96-PerteDeLAssociativite.01.MUL3
136 reference(s)
97-ManyChaos.01.Fra
136 reference(s)		 98-Fractal.02
136 reference(s)
99-create.03.
135 reference(s)		 100-LOG_xiMc.11
135 reference(s)
101-ExpV_VirE.01.Fra
135 reference(s)		 102-demo_14.FV
134 reference(s)
103-QuelquesQuestionsSurLaRecherche.01.Fra
133 reference(s)		 104-Commentaires_DefinitionTransformeeDeFourier.01
133 reference(s)
105-subject.01.
132 reference(s)		 106-PerteDeLAssociativite.01.ADD3
132 reference(s)
107-ExpV_VirE.Fra
132 reference(s)		 108-ExpV_VirE.21
132 reference(s)
109-Commentaires_NKleinBottle.01
132 reference(s)		 110-An2000.02.Fra
131 reference(s)
111-ArtEtMathematiques.01
130 reference(s)		 112-MathematiquesPhysiqueFractales.01
129 reference(s)
113-Galerie_QuantumMechanics.DIAPO.0002
129 reference(s)		 114-ArtOrdinateur.01
129 reference(s)
115-An2000.01.Ang
129 reference(s)		 116-MonumentValley.01.Ang
128 reference(s)
117-Commentaires_NKleinBottle.02
128 reference(s)		 118-monodimensionalcellularautomata.01.fra
127 reference(s)
119-MathematiquesEtRepresentations.01.vv.Fra
127 reference(s)		 120-HommageBenoitMandelbrot.21
127 reference(s)
121-GenieLogiciel.01.Ang
127 reference(s)		 122-An2000.06.Fra
127 reference(s)
123-An2000.05.Fra
127 reference(s)		 124-AVirtualSpaceTimeTravelMachine.Ang.FV
127 reference(s)
125-T_DuReelAuVirtuel.01_recherche.01.Fra.0001
126 reference(s)		 126-InformatiqueProfessionnelle.01.Fra
126 reference(s)
127-Commentaires_ProblemeDesNCorps.01
126 reference(s)		 128-Commentaires_DefinitionOctonions.01
126 reference(s)

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




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