Monthly Best Of on 04/28/2016




The Lorenz attractor in motion

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 04/28/2016 and last updated on 11/14/2023 17:48:58 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Hypercube
1-901 reference(s)		 The evolution of the Klein bottle using the Lorenz attractor
2-609 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-552 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
4-477 reference(s)
Bidimensional Hilbert Curve -iteration 4-
5-397 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
6-308 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
7-300 reference(s)		 Happy new year 2000
8-261 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
9-246 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
10-200 reference(s)		 Autostereogram with an hidden volcano
11-178 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
12-175 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
13-173 reference(s)		 Pseudo Olympic Rings
14-159 reference(s)		 Sixteen interlaced torus
15-156 reference(s)		 Tridimensional Hilbert Curve -iteration 3-
16-142 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
17-140 reference(s)		 Autostereogram with an hidden volcano
18-132 reference(s)		 The Bonan-Jeener-Klein triple bottle
19-131 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
20-123 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
21-122 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
22-117 reference(s)		 Artistic view of the prime numbers
23-115 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
24-107 reference(s)
Autostereogram with an hidden volcano
25-106 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
26-105 reference(s)		 Portrait (Lena)-with a 'OY' symmetry-
27-96 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
28-94 reference(s)
An aperiodic Penrose tiling of the Golden Decagon
29-79 reference(s)		 The Jeener-Klein triple bottle
30-76 reference(s)		 The random walk of photons escaping the Sun
31-74 reference(s)		 The random walk of photons escaping the Sun
32-69 reference(s)
The generalized Ulam spiral
33-67 reference(s)		 Quantum vacuum fluctuations
34-66 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
35-65 reference(s)		 The bidimensional John Conway's life game
36-64 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
37-61 reference(s)		 A Peano 'fractal plane' defined by means of three bidimensional fields
38-59 reference(s)		 Sixteen interlaced fractal torus
39-59 reference(s)		 Autostereogram with an hidden volcano
40-57 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
41-56 reference(s)		 Autostereogram with an hidden volcano
42-55 reference(s)		 Quark and gluon structure of a nucleon
43-55 reference(s)		 Fractal natural form
44-54 reference(s)
Gravitation and space-time curvature
45-53 reference(s)		 Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
46-53 reference(s)		 The random walk of photons escaping the Sun
47-49 reference(s)		 Fractal natural form
48-48 reference(s)
The Möbius strip
49-46 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
50-45 reference(s)		 Autostereogram with an hidden ring and ghost bows
51-44 reference(s)		 Tridimensional zoom in on the Mandelbrot set
52-44 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
53-43 reference(s)		 Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
54-43 reference(s)		 From Mars to the Sun
55-43 reference(s)		 An aperiodic Penrose tiling of the plane
56-42 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
57-42 reference(s)		 Tridimensional display of the particle density of a bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
58-42 reference(s)		 Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
59-42 reference(s)		 Autostereogram of Monument Valley
60-42 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
61-42 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
62-42 reference(s)		 Bidimensional geometrical texture animation
63-41 reference(s)		 Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
64-41 reference(s)
Tridimensional texture animation by means of the Generalized Product
65-41 reference(s)		 Bidimensional texture animation by means of the Generalized Product
66-41 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)
67-41 reference(s)		 A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
68-40 reference(s)
The journey of an Earth-like virtuel planet (green)from Pluto (grey) to the Sun (yellow) -point of view of the virtual planet-
69-40 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
70-40 reference(s)		 Bidimensional quasi-symmetrical fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
71-39 reference(s)		 Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
72-39 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
73-39 reference(s)		 Autostereogram with an hidden ring and ghost bows
74-38 reference(s)		 A fractal vegetal structure -'the Knowledge Tree'-
75-36 reference(s)		 From 'geocentrism' to 'heliocentrism'
76-36 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
77-34 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Sun point of view-
78-32 reference(s)		 Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
79-31 reference(s)		 The first four iterations of the construction of the von Koch snowflake
80-31 reference(s)
Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
81-31 reference(s)		 An Archimedes spiral displaying 5000 numbers
82-30 reference(s)		 An Archimedes spiral displaying 10000 numbers
83-30 reference(s)		 An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
84-30 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
85-30 reference(s)		 The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
86-30 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
87-30 reference(s)		 A punched paper tape
88-29 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
89-29 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
90-29 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
91-28 reference(s)		 Animation of a natural form
92-28 reference(s)
A fractal aperiodic Penrose tiling
93-28 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0]
94-27 reference(s)		 Fractal self-portrait
95-27 reference(s)		 A one sheet hyperboloid of revolution -negative curvature-
96-27 reference(s)
The Jeener-Klein triple bottle
97-27 reference(s)		 The generalized Ulam spiral displaying 100 numbers
98-26 reference(s)		 True colors autostereogram of a fractal landscape
99-26 reference(s)		 Quark and gluon structure of a nucleon
100-26 reference(s)
N-body problem integration (N=4)with one yellow star and two planets (the red one being very heavy and the blue one and its white satellite being light)
101-26 reference(s)		 A fractal hypercube
102-26 reference(s)		 A pay slip
103-25 reference(s)		 A set of 4x3 stereograms of a fractal hypercube
104-25 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
105-24 reference(s)		 The Scream -a Tribute to Edvard Munch-
106-24 reference(s)		 The 126.646 first digits -base 6- of 'phi' -the golden ratio- displayed as an 'absolute' tridimensional random walk
107-23 reference(s)		 The personal liberty
108-23 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
109-23 reference(s)		 A quoi servent les Mathématiques?
110-23 reference(s)		 Artistic view of a fractal Multiverse
111-22 reference(s)		 Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
112-22 reference(s)
Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
113-22 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
114-22 reference(s)		 A two sheet hyperboloid of revolution
115-22 reference(s)		 The Universe at the heart of a Calabi-Yau manifold
116-21 reference(s)
The Klein bottle in motion
117-21 reference(s)		 The Lorenz attractor
118-21 reference(s)		 Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 1.047.312 galaxies)obtained by means of a non deterministic fractal process and with a gigantic hidden Calabi-Yau structure
119-21 reference(s)		 The tower -a Tribute to Vladimir Tatline-
120-21 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
121-20 reference(s)		 The Sierpinski carpet -iteration 1 to 5-
122-20 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-
123-20 reference(s)		 Bidimensional zoom in on the Mandelbrot set
124-20 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
125-20 reference(s)		 The Klein bottle
126-20 reference(s)		 Quantum vacuum fluctuations
127-19 reference(s)		 Artistic view of the Big Bang
128-19 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
940 reference(s)		 2-An2000.01.Fra
407 reference(s)
3-GenieLogiciel_VisualisationScientifique.01.vv
404 reference(s)		 4-Stereogrammes_AutoStereogrammes.01
329 reference(s)
5-FaireDeLaRecherche.01.vv
304 reference(s)		 6-Fractal.01
297 reference(s)
7-help.
277 reference(s)		 8-RealNumbers.01.Fra
273 reference(s)
9-AVirtualSpaceTimeTravelMachine.Ang
270 reference(s)		 10-AQuoiServentLesMathematiques.01
269 reference(s)
11-FloatingPointNumbers.01.Fra
261 reference(s)		 12-Galerie_NewPictures.FV
244 reference(s)
13-mail.01.vv
241 reference(s)		 14-Galerie_NumberTheory.FV
238 reference(s)
15-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
230 reference(s)		 16-AVirtualSpaceTimeTravelMachine.Fra
228 reference(s)
17-UlamSpiral.01.Fra
227 reference(s)		 18-MathematiquesPhysiqueFractales.02
227 reference(s)
19-GoldenTriangle.01.Fra
225 reference(s)		 20-NDimensionalDeterministicFractalSets.01.Fra
224 reference(s)
21-SurfaceProjector.01.Ang
222 reference(s)		 22-AProposSite.01.Fra
221 reference(s)
23-Vcatalogue.11
219 reference(s)		 24-Galerie_QuantumMechanics.FV
218 reference(s)
25-Galerie_Astrophysics.FV
215 reference(s)		 26-Galerie_ArtisticCreation.FV
215 reference(s)
27-copyright.01.
212 reference(s)		 28-SurfaceProjector.01.Fra
208 reference(s)
29-MathematiquesPhysiqueFractales.22
208 reference(s)		 30-Galerie_ArtAndScience.FV
206 reference(s)
31-AnimFractal.01.
203 reference(s)		 32-NDimensionalDeterministicFractalSets.01.Ang
201 reference(s)
33-Galerie_DeterministicFractalGeometry.FV
201 reference(s)		 34-MorePages.
199 reference(s)
35-OrdinateursEtCalculs.01.Fra
198 reference(s)		 36-Galerie_ParticleSystems.FV
198 reference(s)
37-ExpV_VirE.11
198 reference(s)		 38-Galerie_GeneralitiesVisualization.FV
197 reference(s)
39-catalogue.11
196 reference(s)		 40-Fractal.11
195 reference(s)
41-EntrelacsIntertwinings.01.Fra
195 reference(s)		 42-FloatingPointNumbers.01.Ang
194 reference(s)
43-EntrelacsIntertwinings.01.Ang
194 reference(s)		 44-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
192 reference(s)
45-Galerie_CelestialMechanics.FV
192 reference(s)		 46-ImpossibleStructures.01.Fra
191 reference(s)
47-Galerie_DeterministicChaos.FV
191 reference(s)		 48-Galerie_BestOf.FV
191 reference(s)
49-NatureDesMathematiques.01.vv.Fra
189 reference(s)		 50-Fractal.03
188 reference(s)
51-subject.01.
187 reference(s)		 52-MonodimensionalCellularAutomata.01.Fra
187 reference(s)
53-infinity.02.vv
186 reference(s)		 54-ImagesDuVirtuel.01.Fra.FV
185 reference(s)
55-Galerie_FluidMechanics.FV
185 reference(s)		 56-Kepler.02.
184 reference(s)
57-Informations_GoodNewsAndBadNews.01.Fra
184 reference(s)		 58-DieuScience.01.Fra
184 reference(s)
59-ImpossibleStructures.01.Ang
183 reference(s)		 60-GenieLogiciel.01.Fra
183 reference(s)
61-NombresEtLumiere.01.vv.Fra
182 reference(s)		 62-realnumbers
181 reference(s)
63-create.03.
181 reference(s)		 64-VirtualChaos.01.Fra
181 reference(s)
65-nombresreels
179 reference(s)		 66-demo
179 reference(s)
67-UlamSpiral.01.Ang
179 reference(s)		 68-OrdinateurMathematiquesArt.01.Fra
179 reference(s)
69-Galerie_SignalProcessing.FV
179 reference(s)		 70-EnsembleDesGaleriesFractales.DIAPO.0001
179 reference(s)
71-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
179 reference(s)		 72-infinity.01.vv
177 reference(s)
73-VisitesGaleriesEnfouies.01.Fra
177 reference(s)		 74-OrdinateursEtCalculs.01.Ang
177 reference(s)
75-Fractal.02
177 reference(s)		 76-Autostereograms.01.
177 reference(s)
77-genielogiciel
176 reference(s)		 78-logiciel
175 reference(s)
79-demo14
175 reference(s)		 80-an2000
174 reference(s)
81-Spheres.01
174 reference(s)		 82-LOG_xiMc.11
174 reference(s)
83-AvantPropos.01.Fra
174 reference(s)		 84-Galerie_TextureSynthesis.FV
173 reference(s)
85-demo.14
172 reference(s)		 86-VirtualChaos.01.Ang
172 reference(s)
87-ManyChaos.01.Fra
170 reference(s)		 88-MathematiquesModeleOutilArtiste.02.Ang
169 reference(s)
89-ManyChaos.01.Ang
168 reference(s)		 90-IllusionConnaissance.02
168 reference(s)
91-RemarquesCerveau.01
167 reference(s)		 92-MonodimensionalCellularAutomata.01.Ang
167 reference(s)
93-Galerie_SensitivityToRoundingOffErrors.FV
167 reference(s)		 94-QuelquesQuestionsSurLaRecherche.01.Fra
166 reference(s)
95-ExpV_VirE.Ang
166 reference(s)		 96-DuModeleALImage.02.Fra
166 reference(s)
97-VisitesGaleriesEnfouies.01.Ang
165 reference(s)		 98-PerteDeLAssociativite.01
165 reference(s)
99-galerie_nondeterministicfractalgeometrynaturalphenomenonsynthesis.fv
164 reference(s)		 100-AvantPropos.01.Ang
164 reference(s)
101-MathematiquesEtCinematographe.01.vv
163 reference(s)		 102-pertedelassociativite.01.add3
162 reference(s)
103-GoldenTriangle.01.Ang
162 reference(s)		 104-Informations_AboutPicturesAnimationsAndFiles.01.Ang
161 reference(s)
105-EnsembleDesGaleries.DIAPO.0001
159 reference(s)		 106-MiseEnSceneDesNombres.01.vv.Fra
158 reference(s)
107-MathematiquesEtRepresentations.01.vv.Ang
158 reference(s)		 108-LesApprentisDieux.01
155 reference(s)
109-PatrimoineHumanite.02.Fra
154 reference(s)		 110-MiseEnSceneDesNombres.01.vv.Ang
154 reference(s)
111-MathematiquesPhysiqueFractales.01
153 reference(s)		 112-Galerie_Tributes.FV
152 reference(s)
113-VisualisationRelief.01.vv.Fra
150 reference(s)		 114-ExpV_VirE.21
150 reference(s)
115-RasoirDOccamEtMathematiques.01.vv.Fra
149 reference(s)		 116-ImagesDuVirtuel.01.Fra
144 reference(s)
117-fairedelarecherche.01.vv
137 reference(s)		 118-RasoirDOccamEtMathematiques.01.vv.Ang
133 reference(s)
119-relativity.01.
132 reference(s)		 120-MOSA.JFC.F1.F2.20031207
132 reference(s)
121-fractal.01
130 reference(s)		 122-aquoiserventlesmathematiques.01
130 reference(s)
123-Galerie_SalonDAutomne.FV
130 reference(s)		 124-present.01.
128 reference(s)
125-ExpV_VirE.01.Fra
127 reference(s)		 126-Informations_GoodNewsAndBadNews.01.Ang
126 reference(s)
127-ComplexiteStructurelleClassements.11
126 reference(s)		 128-Informations_AboutPicturesAnimationsAndFiles.01.Fra
125 reference(s)

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Copyright © Jean-François COLONNA, 2016-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2016-2023.