Monthly Best Of on 01/29/2018




Intertwining

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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(CMAP28 WWW site: this page was created on 01/29/2018 and last updated on 04/15/2019 11:17:45 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Happy new year 2000
1-521 reference(s)
Hypercube
2-300 reference(s)
Autostereogram with an hidden volcano
3-232 reference(s)
Bidimensional Hilbert Curve -iteration 4-
4-199 reference(s)
The random walk of photons escaping the Sun
5-180 reference(s)
Erosion of a bidimensional random (with small and large scale correlations)medium
6-174 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
7-149 reference(s)
Autostereogram with an hidden volcano
8-148 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
9-133 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
10-124 reference(s)
The Jeener's triple Klein bottle
11-122 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
12-119 reference(s)
The Bonan-Jeener's triple Klein bottle
13-117 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
14-111 reference(s)
The generalized Ulam spiral
15-108 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
16-102 reference(s)
The Sierpinski carpet -iteration 5-
17-86 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
18-85 reference(s)
Artistic view of the prime numbers
19-82 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
20-82 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
21-79 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
22-78 reference(s)
Autostereogram with an hidden volcano
23-77 reference(s)
The bidimensional John Conway's life game
24-69 reference(s)
The random walk of photons escaping the Sun
25-62 reference(s)
Sixteen interlaced fractal torus
26-57 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
27-53 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
28-51 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
29-49 reference(s)
The random walk of photons escaping the Sun
30-48 reference(s)
A pseudo-periodical Penrose tiling of the plane
31-47 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
32-45 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-
33-44 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
34-44 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
35-43 reference(s)
The Universe at the heart of a Calabi-Yau manifold
36-42 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
37-42 reference(s)
Pseudo Olympic Rings
38-41 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
39-41 reference(s)
Quantum vacuum fluctuations
40-40 reference(s)
Tridimensional zoom in on the Mandelbrot set
41-39 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
42-39 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
43-38 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
44-37 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
45-37 reference(s)
From Mars to the Sun
46-37 reference(s)
Bidimensional geometrical texture animation
47-36 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
48-36 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
49-36 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
50-36 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
51-36 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
52-36 reference(s)
Tridimensional texture animation by means of the Generalized Product
53-36 reference(s)
Bidimensional texture animation by means of the Generalized Product
54-36 reference(s)
The Möbius strip
55-36 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
56-36 reference(s)
The first four iterations of the construction of the von Koch snowflake
57-32 reference(s)
A fractal pseudo-periodical Penrose tiling
58-32 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
59-32 reference(s)
The Lorenz attractor
60-31 reference(s)
True colors autostereogram of a fractal landscape
61-30 reference(s)
The Jeener's triple Klein bottle
62-30 reference(s)
Autostereogram with an hidden volcano
63-29 reference(s)
An Archimedes spiral displaying 100000 numbers
64-29 reference(s)
A perfect bidimensional fractal tree and the self-similarity
65-27 reference(s)
The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
66-27 reference(s)
A fractal Klein bottle
67-27 reference(s)
A pseudo-periodical Penrose tiling of the plane
68-26 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
69-26 reference(s)
Tridimensional Hilbert Curve -iteration 3-
70-26 reference(s)
A fractal Möbius strip
71-26 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
72-26 reference(s)
Anaglyph -blue=right, red=left- of an hypercube
73-25 reference(s)
The generalized Ulam spiral displaying 100 numbers
74-24 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
75-23 reference(s)
Autostereogram with an hidden ring and ghost bows
76-23 reference(s)
Fractal natural form
77-23 reference(s)
The first four iterations of the construction of the von Koch snowflake
78-22 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
79-22 reference(s)
An Archimedes spiral displaying 10000 numbers
80-22 reference(s)
Autostereogram of Monument Valley
81-22 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)
82-22 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
83-22 reference(s)
The Menger sponge -iteration 5-
84-22 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
85-22 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
86-21 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
87-21 reference(s)
A quaternionic Julia set -tridimensional cross-section-
88-21 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
89-21 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
90-21 reference(s)
Portrait (Lena)-with a 'OY' symmetry-
91-20 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
92-19 reference(s)
A punched paper tape
93-19 reference(s)
Quark and gluon structure of a nucleon
94-19 reference(s)
No Title 0231 -a tribute to Philippe Druillet-
95-19 reference(s)
A 'bidimensional epicycloïdal' pseudo-torus
96-19 reference(s)
Where is the Multiverse?
97-18 reference(s)
Fractal natural form
98-18 reference(s)
A half-random extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
99-18 reference(s)
A half-random extended Menger sponge -iteration 5-
100-18 reference(s)
No Title 0272
101-18 reference(s)
Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
102-18 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
103-18 reference(s)
A fractal vegetal structure
104-17 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
105-17 reference(s)
Autostereogram with an hidden ring and ghost bows
106-17 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
107-17 reference(s)
The Sierpinski carpet -iteration 5-
108-17 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
109-17 reference(s)
Botticelli anomaly on the Moon
110-17 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
111-17 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
112-17 reference(s)
Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
113-16 reference(s)
A pseudo-periodical Penrose tiling of the plane
114-16 reference(s)
Autostereogram with an hidden volcano
115-16 reference(s)
The generalized Ulam spiral displaying 81 numbers
116-16 reference(s)
Sunny Monument Valley
117-16 reference(s)
Monument Valley à la David Hockney
118-16 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
119-16 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
120-16 reference(s)
From 'geocentrism' to 'heliocentrism'
121-16 reference(s)
An extended Menger sponge -iteration 5-
122-16 reference(s)
The Menger sponge -iteration 1-
123-16 reference(s)
Fractal 7-foil torus knot
124-16 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
125-16 reference(s)
Paradoxal Monument Valley at sunset
126-15 reference(s)
From Pluto to the Sun (non linear scales)
127-15 reference(s)
A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
128-15 reference(s)




2-The 128 most referenced Pages (*):

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



1-Vcatalogue.11
4550 reference(s)
2-demo_14
960 reference(s)
3-ImagesDuVirtuel.01.Fra
919 reference(s)
4-Galerie_DeterministicFractalGeometry
628 reference(s)
5-ExpV_VirE.Fra
594 reference(s)
6-An2000.01.Ang
489 reference(s)
7-Galerie_DeterministicFractalGeometry.FV
476 reference(s)
8-create.03.
469 reference(s)
9-present.01.
462 reference(s)
10-MorePages.
442 reference(s)
11-An2000.01.Fra
383 reference(s)
12-ComplexiteStructurelleClassements.11
372 reference(s)
13-DuModeleALImage.02.Fra
337 reference(s)
14-Galerie_ParticleSystems
325 reference(s)
15-Galerie_DeterministicChaos.FV
281 reference(s)
16-Galerie_GeneralitiesVisualization.FV
277 reference(s)
17-AVirtualSpaceTimeTravelMachine.Ang
274 reference(s)
18-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
265 reference(s)
19-subject.01.
260 reference(s)
20-GenieLogiciel.01.Ang
258 reference(s)
21-NombresEtLumiere.01.vv.Fra
254 reference(s)
22-FloatingPointNumbers.01.Fra
252 reference(s)
23-Fractal.11
251 reference(s)
24-Autostereograms.01.
248 reference(s)
25-DieuScience.01.Fra
240 reference(s)
26-help.
238 reference(s)
27-Fractal.01
237 reference(s)
28-RealNumbers.01.Fra
233 reference(s)
29-Stereogrammes_AutoStereogrammes.01
232 reference(s)
30-MathematiquesPhysiqueFractales.02
232 reference(s)
31-Galerie_ArtisticCreation.FV
231 reference(s)
32-EntrelacsIntertwinings.01.Ang
230 reference(s)
33-MathematiquesModeleOutilArtiste.02.Ang
229 reference(s)
34-AnimFractal.01.
229 reference(s)
35-Galerie_NumberTheory.FV
228 reference(s)
36-GenieLogiciel.01.Fra
225 reference(s)
37-Galerie_NewPictures.FV
221 reference(s)
38-AProposSite.01.Fra
220 reference(s)
39-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
218 reference(s)
40-GoldenTriangle.01.Fra
217 reference(s)
41-FaireDeLaRecherche.01.vv
217 reference(s)
42-VisSci_SciVis.01
213 reference(s)
43-Informations_GoodNewsAndBadNews.01.Ang
213 reference(s)
44-FloatingPointNumbers.01.Ang
212 reference(s)
45-Galerie_SensitivityToRoundingOffErrors.FV
209 reference(s)
46-SurfaceProjector.01.Fra
205 reference(s)
47-Galerie_QuantumMechanics.FV
202 reference(s)
48-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
202 reference(s)
49-mail.01.vv
197 reference(s)
50-NDimensionalDeterministicFractalSets.01.Fra
196 reference(s)
51-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
196 reference(s)
52-Galerie_ArtAndScience.FV
195 reference(s)
53-Fractal.03
195 reference(s)
54-AVirtualSpaceTimeTravelMachine.Ang.FV
194 reference(s)
55-FaireDesMathematiques.01.Fra
193 reference(s)
56-MathematiquesPhysiqueFractales.22
192 reference(s)
57-ArtScience.01
192 reference(s)
58-Kepler.02.
191 reference(s)
59-Galerie_CelestialMechanics.FV
191 reference(s)
60-VisualisationRelief.01.vv.Fra
190 reference(s)
61-UlamSpiral.01.Fra
189 reference(s)
62-MonodimensionalCellularAutomata.01.Fra
189 reference(s)
63-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
189 reference(s)
64-OrdinateurMathematiquesArt.01.Fra
188 reference(s)
65-copyright.01.
187 reference(s)
66-catalogue.11
187 reference(s)
67-NatureDesMathematiques.01.vv.Fra
185 reference(s)
68-Galerie_ParticleSystems.FV
185 reference(s)
69-Galerie_Astrophysics.FV
185 reference(s)
70-AVirtualSpaceTimeTravelMachine.Fra
184 reference(s)
71-SurfaceProjector.01.Ang
181 reference(s)
72-Spheres.01
181 reference(s)
73-NDimensionalDeterministicFractalSets.01.Ang
175 reference(s)
74-ExpV_VirE.11
175 reference(s)
75-LesApprentisDieux.01
174 reference(s)
76-LOG_xiMc.11
173 reference(s)
77-Galerie_SignalProcessing.FV
172 reference(s)
78-MonodimensionalCellularAutomata.01.Ang
171 reference(s)
79-Galerie_FluidMechanics.FV
171 reference(s)
80-ConjectureDeSyracuse_0256.vv
171 reference(s)
81-UlamSpiral.01.Ang
170 reference(s)
82-ManyChaos.01.Fra
169 reference(s)
83-infinity.01.vv
168 reference(s)
84-VisitesGaleriesEnfouies.01.Fra
168 reference(s)
85-Galerie_DeterministicChaos
168 reference(s)
86-VirtualChaos.01.Fra
167 reference(s)
87-OrdinateursEtCalculs.01.Fra
167 reference(s)
88-GoldenTriangle.01.Ang
166 reference(s)
89-Galerie_BestOf.FV
166 reference(s)
90-EntrelacsIntertwinings.01.Fra
165 reference(s)
91-Galerie_CelestialMechanics
164 reference(s)
92-realnumbers
161 reference(s)
93-genielogiciel
161 reference(s)
94-demo
161 reference(s)
95-ManyChaos.01.Ang
161 reference(s)
96-demo.14
160 reference(s)
97-MiseEnSceneDesNombres.01.vv.Fra
160 reference(s)
98-Galerie_Tributes.FV
160 reference(s)
99-nombresreels
159 reference(s)
100-logiciel
159 reference(s)
101-demo14
159 reference(s)
102-IllusionConnaissance.02
159 reference(s)
103-fairedelarecherche.01.vv
158 reference(s)
104-ExpV_VirE.Ang
157 reference(s)
105-MathematiquesLangageDuGrandLivreDeLaNature.12
156 reference(s)
106-Tcatalogue.11
155 reference(s)
107-an2000
154 reference(s)
108-VirtualChaos.01.Ang
154 reference(s)
109-OrdinateursEtCalculs.01.Ang
154 reference(s)
110-Galerie_TextureSynthesis.FV
152 reference(s)
111-VisitesGaleriesEnfouies.01.Ang
151 reference(s)
112-RasoirDOccamEtMathematiques.01.vv.Fra
151 reference(s)
113-QuelquesQuestionsSurLaRecherche.01.Fra
151 reference(s)
114-ImpossibleStructures.01.Fra
151 reference(s)
115-ImpossibleStructures.01.Ang
150 reference(s)
116-Fractal.02
150 reference(s)
117-MiseEnSceneDesNombres.01.vv.Ang
149 reference(s)
118-EnsembleDesGaleriesFractales.DIAPO.0001
149 reference(s)
119-CompressionDeCompression_ComplexiteStructurelle.PNG_CDC_9.01
149 reference(s)
120-MathematiquesEtRepresentations.01.vv.Ang
148 reference(s)
121-ImagesDuVirtuel.01.Fra.FV
148 reference(s)
122-MathematiquesEtCinematographe.01.vv
147 reference(s)
123-GenieLogiciel_VisualisationScientifique.01.vv
147 reference(s)
124-Informations_GoodNewsAndBadNews.01.Fra
146 reference(s)
125-Galerie_TextureSynthesis
146 reference(s)
126-AQuoiServentLesMathematiques.01
146 reference(s)
127-infinity.02.vv
145 reference(s)
128-RasoirDOccamEtMathematiques.01.vv.Ang
143 reference(s)

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




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