Monthly Best Of on 06/28/2018




The Lorenz attractor in motion

Jean-François COLONNA

www.lactamme.polytechnique.fr

jean-francois.colonna@polytechnique.edu
CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, Ecole Polytechnique, CNRS, 91128 Palaiseau Cedex, France

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Contents of this page:


1-The 128 most referenced Pictures (*):

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



A fractal vegetal structure
1-1111 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
2-284 reference(s)
Autostereogram with an hidden volcano
3-279 reference(s)
The random walk of photons escaping the Sun
4-243 reference(s)
The random walk of photons escaping the Sun
5-221 reference(s)
Erosion of a bidimensional random (with small and large scale correlations)medium
6-187 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
7-184 reference(s)
Happy new year 2000
8-176 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
9-173 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
10-170 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
11-154 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
12-154 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
13-100 reference(s)
The generalized Ulam spiral
14-99 reference(s)
Bidimensional Hilbert Curve -iteration 4-
15-99 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
16-92 reference(s)
Hypercube
17-84 reference(s)
The bidimensional John Conway's life game
18-80 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
19-77 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
20-75 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
21-72 reference(s)
Artistic view of the prime numbers
22-70 reference(s)
Autostereogram with an hidden volcano
23-68 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
24-68 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
25-67 reference(s)
The Sierpinski carpet -iteration 5-
26-65 reference(s)
Pseudo Olympic Rings
27-62 reference(s)
Quantum vacuum fluctuations
28-61 reference(s)
A fractal Möbius strip
29-61 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
30-61 reference(s)
Monument Valley à la David Hockney
31-58 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
32-58 reference(s)
True colors autostereogram of a fractal landscape
33-56 reference(s)
The Bonan-Jeener's triple Klein bottle
34-56 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
35-54 reference(s)
Autostereogram with an hidden volcano
36-54 reference(s)
Autostereogram with an hidden ring and ghost bows
37-51 reference(s)
The random walk of photons escaping the Sun
38-51 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-
39-51 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
40-50 reference(s)
A pseudo-periodical Penrose tiling of the plane
41-49 reference(s)
Autostereogram with an hidden ring and ghost bows
42-49 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
43-45 reference(s)
From Mars to the Sun
44-44 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
45-44 reference(s)
Sixteen interlaced fractal torus
46-44 reference(s)
Bidimensional geometrical texture animation
47-43 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
48-43 reference(s)
Bidimensional texture animation by means of the Generalized Product
49-43 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
50-43 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
51-42 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
52-42 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
53-42 reference(s)
Tridimensional texture animation by means of the Generalized Product
54-42 reference(s)
The Möbius strip
55-42 reference(s)
Tridimensional zoom in on the Mandelbrot set
56-42 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
57-42 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
58-42 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
59-41 reference(s)
The Universe at the heart of a Calabi-Yau manifold
60-39 reference(s)
A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
61-39 reference(s)
A fractal Klein bottle
62-38 reference(s)
The first four iterations of the construction of the von Koch snowflake
63-37 reference(s)
Autostereogram with an hidden volcano
64-37 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
65-36 reference(s)
Tridimensional Hilbert Curve -iteration 3-
66-36 reference(s)
The Sierpinski carpet -iteration 5-
67-35 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
68-35 reference(s)
Heterogeneous -tridimensional fractal field- random meshing of a cube
69-35 reference(s)
The Menger sponge -iteration 5-
70-32 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
71-32 reference(s)
The Jeener's triple Klein bottle
72-32 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
73-31 reference(s)
Quark and gluon structure of a nucleon
74-31 reference(s)
A fractal pseudo-periodical Penrose tiling
75-30 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
76-30 reference(s)
A truncated quadrimensional Calabi-Yau manifold with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
77-29 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
78-28 reference(s)
Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 637.312 galaxies)obtained by means of a non deterministic fractal process
79-28 reference(s)
The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
80-27 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
81-26 reference(s)
A pseudo-periodical Penrose tiling of the plane
82-26 reference(s)
Generation of the 63x63 first Conway's surreal complex numbers
83-26 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
84-25 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
85-25 reference(s)
Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
86-25 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
87-25 reference(s)
Tridimensional 'smooth' fractal surface
88-25 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
89-25 reference(s)
The Boy surface
90-24 reference(s)
Autostereogram of Monument Valley
91-24 reference(s)
A quaternionic Julia set -tridimensional cross-section-
92-24 reference(s)
Three hexagons and the twenty-eight first strictly positive integer numbers -nine of them being prime numbers-
93-24 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
94-23 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
95-23 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
96-23 reference(s)
The Boy surface
97-23 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
98-23 reference(s)
Metropolis -a tribute to Fritz Lang-
99-23 reference(s)
Heterogeneous -tridimensional fractal field- random meshing of a cube
100-23 reference(s)
A pseudo-periodical Penrose tiling of the plane
101-22 reference(s)
Fractal natural form
102-22 reference(s)
An Archimedes spiral displaying 100000 numbers
103-22 reference(s)
The generalized Ulam spiral displaying 100 numbers
104-22 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
105-22 reference(s)
Bidimensional zoom in on the Mandelbrot set
106-22 reference(s)
The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
107-22 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
108-22 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)
109-21 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
110-21 reference(s)
A tridimensionally distorded pseudo-periodical Penrose tiling of the Golden Decagon
111-20 reference(s)
A pseudo-periodical non linear Penrose tiling of the plane
112-20 reference(s)
A random permutation of pixel blocks of a bidimensional field
113-20 reference(s)
Gravitation and space-time curvature
114-20 reference(s)
Monument Valley à la David Hockney
115-20 reference(s)
From Pluto to the Sun -extrapolation 1- (non linear scales)
116-20 reference(s)
The intersection of the Menger sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation-
117-20 reference(s)
An amazing cross-section inside the Menger sponge -iteration 5-
118-20 reference(s)
A tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
119-20 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
120-20 reference(s)
Artistic view of a pyramidal Menger sponge computed by means of an 'Iterated Function System' -IFS-
121-20 reference(s)
Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
122-20 reference(s)
A pay slip
123-19 reference(s)
Jean-François Colonna
124-19 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
125-19 reference(s)
The Jeener's triple Klein bottle
126-19 reference(s)
An Archimedes spiral displaying 100 numbers
127-18 reference(s)
Botticelli anomaly on the Moon
128-18 reference(s)




2-The 128 most referenced Pages (*):

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



1-Vcatalogue.11
4141 reference(s)
2-demo_14
1103 reference(s)
3-An2000.01.Fra
887 reference(s)
4-ImagesDuVirtuel.01.Fra
754 reference(s)
5-ComplexiteStructurelleClassements.11
457 reference(s)
6-MathematiquesPhysiqueFractales.22
422 reference(s)
7-MathematiquesModeleOutilArtiste.02.Ang
384 reference(s)
8-Fractal.11
380 reference(s)
9-DieuScience.01.Fra
358 reference(s)
10-LesApprentisDieux.01
350 reference(s)
11-Galerie_NumberTheory.FV
325 reference(s)
12-MorePages.
323 reference(s)
13-OrdinateurMathematiquesArt.01.Fra
312 reference(s)
14-AnimFractal.01.
312 reference(s)
15-Galerie_GeneralitiesVisualization.FV
295 reference(s)
16-Galerie_DeterministicFractalGeometry.FV
291 reference(s)
17-AVirtualSpaceTimeTravelMachine.Ang
275 reference(s)
18-Autostereograms.01.
270 reference(s)
19-subject.01.
266 reference(s)
20-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
254 reference(s)
21-RealNumbers.01.Fra
253 reference(s)
22-Fractal.21
253 reference(s)
23-help.
250 reference(s)
24-Galerie_SensitivityToRoundingOffErrors.FV
244 reference(s)
25-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
243 reference(s)
26-Fractal.01
239 reference(s)
27-FaireDesMathematiques.01.Fra
238 reference(s)
28-Spheres.01
237 reference(s)
29-Galerie_Astrophysics.FV
237 reference(s)
30-Galerie_DeterministicChaos.FV
235 reference(s)
31-Galerie_ArtisticCreation.FV
234 reference(s)
32-FaireDeLaRecherche.01.vv
233 reference(s)
33-Kepler.02.
229 reference(s)
34-DuModeleALImage.02.Fra
229 reference(s)
35-Stereogrammes_AutoStereogrammes.01
224 reference(s)
36-MathematiquesPhysiqueFractales.02
222 reference(s)
37-GoldenTriangle.01.Fra
221 reference(s)
38-Galerie_QuantumMechanics.FV
221 reference(s)
39-UlamSpiral.01.Fra
220 reference(s)
40-MonodimensionalCellularAutomata.01.Fra
215 reference(s)
41-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
214 reference(s)
42-create.03.
211 reference(s)
43-An2000.01.Ang
211 reference(s)
44-FloatingPointNumbers.01.Fra
209 reference(s)
45-FloatingPointNumbers.01.Ang
205 reference(s)
46-MathematiquesPhysiqueFractales.12
201 reference(s)
47-Galerie_ArtAndScience.FV
201 reference(s)
48-AVirtualSpaceTimeTravelMachine.Fra
199 reference(s)
49-mail.01.vv
198 reference(s)
50-VisualisationRelief.01.vv.Fra
198 reference(s)
51-NatureDesMathematiques.01.vv.Fra
198 reference(s)
52-MonodimensionalCellularAutomata.01.Ang
198 reference(s)
53-ArtScience.01
195 reference(s)
54-AProposSite.01.Fra
195 reference(s)
55-ManyChaos.01.Ang
194 reference(s)
56-SurfaceProjector.01.Fra
191 reference(s)
57-Galerie_FluidMechanics.FV
190 reference(s)
58-Galerie_SignalProcessing.FV
188 reference(s)
59-Galerie_NumberTheory
188 reference(s)
60-NDimensionalDeterministicFractalSets.01.Fra
187 reference(s)
61-ManyChaos.01.Fra
187 reference(s)
62-Galerie_NewPictures.FV
187 reference(s)
63-present.01.
186 reference(s)
64-copyright.01.
185 reference(s)
65-LOG_xiMc.11
182 reference(s)
66-GenieLogiciel.01.Fra
182 reference(s)
67-catalogue.11
178 reference(s)
68-SurfaceProjector.01.Ang
178 reference(s)
69-Galerie_BestOf.FV
176 reference(s)
70-GenieLogiciel_VisualisationScientifique.01.vv
175 reference(s)
71-ExpV_VirE.11
174 reference(s)
72-Fractal.03
173 reference(s)
73-NombresEtLumiere.01.vv.Fra
172 reference(s)
74-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
170 reference(s)
75-logiciel
168 reference(s)
76-genielogiciel
168 reference(s)
77-UlamSpiral.01.Ang
168 reference(s)
78-Galerie_ParticleSystems.FV
168 reference(s)
79-nombresreels
167 reference(s)
80-realnumbers
166 reference(s)
81-demo.14
166 reference(s)
82-an2000
166 reference(s)
83-demo14
165 reference(s)
84-demo
165 reference(s)
85-OrdinateursEtCalculs.01.Fra
165 reference(s)
86-OrdinateursEtCalculs.01.Ang
164 reference(s)
87-NDimensionalDeterministicFractalSets.01.Ang
164 reference(s)
88-Galerie_CelestialMechanics.FV
164 reference(s)
89-Fractal.02
162 reference(s)
90-EnsembleDesGaleriesFractales.DIAPO.0001
162 reference(s)
91-IllusionConnaissance.02
161 reference(s)
92-Galerie_Tributes.FV
161 reference(s)
93-RasoirDOccamEtMathematiques.01.vv.Fra
159 reference(s)
94-VirtualChaos.01.Ang
157 reference(s)
95-infinity.01.vv
156 reference(s)
96-RemarquesCerveau.01
156 reference(s)
97-EntrelacsIntertwinings.01.Ang
156 reference(s)
98-Informations_GoodNewsAndBadNews.01.Ang
155 reference(s)
99-Tcatalogue.11
153 reference(s)
100-RasoirDOccamEtMathematiques.01.vv.Ang
153 reference(s)
101-ImpossibleStructures.01.Ang
153 reference(s)
102-infinity.02.vv
152 reference(s)
103-PerteDeLAssociativite.01
152 reference(s)
104-ImpossibleStructures.01.Fra
152 reference(s)
105-DuReelAuVirtuel.01.Fra
152 reference(s)
106-QuelquesQuestionsSurLaRecherche.01.Fra
151 reference(s)
107-MiseEnSceneDesNombres.01.vv.Fra
151 reference(s)
108-MathematiquesLangageDuGrandLivreDeLaNature.12
151 reference(s)
109-EntrelacsIntertwinings.01.Fra
151 reference(s)
110-AvantPropos.01.Ang
151 reference(s)
111-DecimalesPi_1_100.vv
150 reference(s)
112-Commentaires_NKleinBottle.01
150 reference(s)
113-AvantPropos.01.Fra
150 reference(s)
114-MathematiquesEtRepresentations.01.vv.Ang
149 reference(s)
115-GoldenTriangle.01.Ang
149 reference(s)
116-VisitesGaleriesEnfouies.01.Ang
148 reference(s)
117-PatrimoineHumanite.02.Fra
147 reference(s)
118-Galerie_TextureSynthesis.FV
147 reference(s)
119-EnsembleDesGaleries.DIAPO.0001
147 reference(s)
120-fairedelarecherche.01.vv
146 reference(s)
121-Pcatalogue.11
146 reference(s)
122-VirtualChaos.01.Fra
145 reference(s)
123-MathematiquesEtCinematographe.01.vv
145 reference(s)
124-Galerie_ImagesDidactiques.FV
144 reference(s)
125-Informations_GoodNewsAndBadNews.01.Fra
143 reference(s)
126-ExpV_VirE.Ang
143 reference(s)
127-MiseEnSceneDesNombres.01.vv.Ang
142 reference(s)
128-ImagesDuVirtuel.01.Fra.FV
142 reference(s)

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Copyright (c) Jean-François Colonna, 2018-2019.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2018-2019.