Monthly Best Of on 09/28/2018




Intertwining based on the geometry of the Bonan-Jeener's triple Klein bottle

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
1-779 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
2-379 reference(s)
Autostereogram with an hidden volcano
3-233 reference(s)
Happy new year 2000
4-223 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
5-216 reference(s)
The random walk of photons escaping the Sun
6-211 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
7-195 reference(s)
Bidimensional Hilbert Curve -iteration 4-
8-185 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
9-167 reference(s)
Erosion of a bidimensional random (with small and large scale correlations)medium
10-161 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
11-156 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
12-145 reference(s)
Pseudo Olympic Rings
13-127 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
14-103 reference(s)
Hypercube
15-101 reference(s)
Autostereogram with an hidden volcano
16-100 reference(s)
The Bonan-Jeener's triple Klein bottle
17-100 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
18-84 reference(s)
The random walk of photons escaping the Sun
19-81 reference(s)
Artistic view of the prime numbers
20-81 reference(s)
The bidimensional John Conway's life game
21-77 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
22-69 reference(s)
Quantum vacuum fluctuations
23-67 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
24-65 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
25-63 reference(s)
The Menger sponge -iteration 5-
26-60 reference(s)
A fractal Möbius strip
27-58 reference(s)
The Jeener's triple Klein bottle
28-58 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
29-55 reference(s)
The Möbius strip
30-54 reference(s)
Sixteen interlaced fractal torus
31-53 reference(s)
Autostereogram with an hidden volcano
32-52 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
33-51 reference(s)
The generalized Ulam spiral
34-51 reference(s)
Autostereogram with an hidden volcano
35-50 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
36-50 reference(s)
A fractal Klein bottle
37-50 reference(s)
The random walk of photons escaping the Sun
38-48 reference(s)
The pseudo-sphere -a Tribute to Jacques Cartier-
39-48 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-
40-48 reference(s)
Tridimensional Hilbert Curve -iteration 3-
41-47 reference(s)
Bidimensional texture animation by means of the Generalized Product
42-46 reference(s)
Tridimensional zoom in on the Mandelbrot set
43-46 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
44-45 reference(s)
Tridimensional texture animation by means of the Generalized Product
45-45 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
46-45 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
47-45 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
48-45 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
49-44 reference(s)
From Mars to the Sun
50-44 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
51-44 reference(s)
Bidimensional geometrical texture animation
52-43 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
53-43 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
54-43 reference(s)
A spherical cross-section inside the Menger sponge -iteration 5-
55-43 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
56-43 reference(s)
The Sierpinski carpet -iteration 5-
57-39 reference(s)
An Archimedes spiral displaying 5000 numbers
58-39 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
59-37 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
60-36 reference(s)
The Universe at the heart of a Calabi-Yau manifold
61-35 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
62-35 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
63-34 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
64-33 reference(s)
The Klein bottle
65-33 reference(s)
The 64 first lines of the Pascal's Triangle
66-32 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
67-32 reference(s)
Fractal natural form
68-32 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
69-30 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
70-30 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
71-30 reference(s)
The Sierpinski carpet -iteration 5-
72-30 reference(s)
The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
73-30 reference(s)
A fractal pseudo-periodical Penrose tiling
74-30 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
75-30 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
76-29 reference(s)
Metropolis -a tribute to Fritz Lang-
77-29 reference(s)
A pseudo-periodical Penrose tiling of the plane
78-28 reference(s)
True colors autostereogram of a fractal landscape
79-28 reference(s)
A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
80-28 reference(s)
The Lorenz attractor
81-28 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
82-27 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
83-27 reference(s)
A pay slip
84-27 reference(s)
From 'geocentrism' to 'heliocentrism'
85-27 reference(s)
Anaglyph -blue=right, red=left- of a fractal hypercube
86-27 reference(s)
The Jeener's triple Klein bottle
87-27 reference(s)
A tridimensionally distorded pseudo-periodical Penrose tiling of the plane
88-26 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
89-26 reference(s)
20 evenly distributed points on a sphere by means of simulated annealing
90-26 reference(s)
An Archimedes spiral displaying 100000 numbers
91-26 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
92-26 reference(s)
From Pluto to the Sun -extrapolation 1- (non linear scales)
93-26 reference(s)
Autostereogram of Monument Valley
94-25 reference(s)
Tridimensional fractal cross -iteration 5-
95-25 reference(s)
No Title 0267 -a tribute to Piet Mondrian-
96-25 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)
97-24 reference(s)
Monument Valley à la David Hockney
98-23 reference(s)
A 'bidimensional epicycloïdal' pseudo-torus
99-23 reference(s)
Electronic circuit blueprint
100-22 reference(s)
Quark and gluon structure of a nucleon
101-22 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
102-22 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
103-22 reference(s)
A pseudo-periodical Penrose tiling of the plane
104-21 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
105-21 reference(s)
The double reflection -green- of a small regular tetrahedron -center red-
106-21 reference(s)
A variable Archimedes spiral displaying 1000 numbers
107-21 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
108-21 reference(s)
A quaternionic Julia set -tridimensional cross-section-
109-21 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
110-21 reference(s)
The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
111-21 reference(s)
Sixteen interlaced torus
112-21 reference(s)
From the infinitely small to the infinitely big
113-21 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
114-21 reference(s)
The tower -a tribute to Vladimir Tatline-
115-21 reference(s)
Where is the Multiverse?
116-20 reference(s)
Autostereogram with an hidden ring and ghost bows
117-20 reference(s)
Recursive subdivision of four Golden Rectangles -a tribute to Piet Mondrian-
118-20 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
119-20 reference(s)
From Pluto to the Sun (non linear scales)
120-20 reference(s)
No Title 0269 -a tribute to Piet Mondrian-
121-20 reference(s)
The Sierpinski carpet -iteration 3-
122-19 reference(s)
The Boy surface
123-19 reference(s)
Fractal natural form
124-19 reference(s)
The Scream -a Tribute to Edvard Munch-
125-19 reference(s)
An extended foggy 'MandelBox' -tridimensional cross-section-
126-19 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
127-19 reference(s)
The Birth of the Universe
128-19 reference(s)




2-The 128 most referenced Pages (*):

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



1-Vcatalogue.11
5310 reference(s)
2-ImagesDuVirtuel.01.Fra
1188 reference(s)
3-demo_14
1181 reference(s)
4-An2000.01.Fra
893 reference(s)
5-An2000.01.Ang
828 reference(s)
6-ImagesDuVirtuel.01.Fra.FV
707 reference(s)
7-ComplexiteStructurelleClassements.11
581 reference(s)
8-Fractal.11
509 reference(s)
9-MathematiquesModeleOutilArtiste.02.Ang
450 reference(s)
10-present.01.
449 reference(s)
11-LesApprentisDieux.01
423 reference(s)
12-MorePages.
421 reference(s)
13-Galerie_DeterministicFractalGeometry.FV
416 reference(s)
14-AnimFractal.01.
386 reference(s)
15-OrdinateurMathematiquesArt.01.Fra
380 reference(s)
16-MathematiquesPhysiqueFractales.22
359 reference(s)
17-Galerie_NumberTheory.FV
355 reference(s)
18-help.
349 reference(s)
19-Galerie_ArtisticCreation.FV
344 reference(s)
20-AVirtualSpaceTimeTravelMachine.Ang
335 reference(s)
21-Galerie_GeneralitiesVisualization.FV
333 reference(s)
22-DieuScience.01.Fra
325 reference(s)
23-subject.01.
307 reference(s)
24-ExpV_VirE.Fra
305 reference(s)
25-create.03.
302 reference(s)
26-Galerie_NumberTheory
300 reference(s)
27-GenieLogiciel.01.Fra
298 reference(s)
28-RealNumbers.01.Fra
297 reference(s)
29-Autostereograms.01.
294 reference(s)
30-Galerie_ParticleSystems.FV
260 reference(s)
31-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
247 reference(s)
32-DuModeleALImage.02.Fra
243 reference(s)
33-Stereogrammes_AutoStereogrammes.01
241 reference(s)
34-GenieLogiciel.01.Ang
237 reference(s)
35-Galerie_SensitivityToRoundingOffErrors.FV
236 reference(s)
36-FloatingPointNumbers.01.Fra
232 reference(s)
37-FloatingPointNumbers.01.Ang
228 reference(s)
38-Fractal.21
223 reference(s)
39-ArtScience.01
223 reference(s)
40-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
220 reference(s)
41-AVirtualSpaceTimeTravelMachine.Fra.FV
220 reference(s)
42-Informations_GoodNewsAndBadNews.01.Fra
218 reference(s)
43-AProposSite.01.Fra
215 reference(s)
44-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
214 reference(s)
45-NDimensionalDeterministicFractalSets.01.Fra
213 reference(s)
46-VisSci_SciVis.02
211 reference(s)
47-GoldenTriangle.01.Fra
211 reference(s)
48-Galerie_ImagesDesMathematiques.FV
211 reference(s)
49-Galerie_DeterministicChaos.FV
208 reference(s)
50-ExpV_VirE.11
208 reference(s)
51-Fractal.01
206 reference(s)
52-Galerie_DeterministicFractalGeometry
205 reference(s)
53-UlamSpiral.01.Fra
204 reference(s)
54-Galerie_Tributes.FV
204 reference(s)
55-Kepler.02.
201 reference(s)
56-GenieLogiciel_VisualisationScientifique.01.vv
200 reference(s)
57-Galerie_NumberTheory.DIAPO.0148
200 reference(s)
58-BEST.20170728
200 reference(s)
59-an2000
198 reference(s)
60-Galerie_ArtAndScience
197 reference(s)
61-LOG_xiMc.11
196 reference(s)
62-Galerie_TextureSynthesis.FV
189 reference(s)
63-Galerie_SalonDAutomne.FV
189 reference(s)
64-SurfaceProjector.01.Ang
188 reference(s)
65-Informations_GoodNewsAndBadNews.01.Ang
188 reference(s)
66-Galerie_QuantumMechanics.FV
188 reference(s)
67-Galerie_CelestialMechanics.FV
186 reference(s)
68-SurfaceProjector.01.Fra
182 reference(s)
69-Galerie_BestOf.FV
182 reference(s)
70-MathematiquesPhysiqueFractales.02
181 reference(s)
71-ManyChaos.01.Fra
181 reference(s)
72-BEST.20000517
181 reference(s)
73-Galerie_Astrophysics.FV
180 reference(s)
74-Galerie_ArtisticCreation.DIAPO.0103
180 reference(s)
75-MathematiquesEtCinematographe.01.vv
179 reference(s)
76-Galerie_GeneralitiesVisualization
179 reference(s)
77-VisualisationRelief.01.vv.Fra
176 reference(s)
78-demo.14
175 reference(s)
79-RemarquesCerveau.01
175 reference(s)
80-FaireDeLaRecherche.01.vv
175 reference(s)
81-EntrelacsIntertwinings.01.Fra
175 reference(s)
82-demo
172 reference(s)
83-AVirtualSpaceTimeTravelMachine.Fra
172 reference(s)
84-ExpV_VirE.21
171 reference(s)
85-BEST.20090628
171 reference(s)
86-realnumbers
170 reference(s)
87-Galerie_ArtAndScience.FV
170 reference(s)
88-nombresreels
169 reference(s)
89-MonodimensionalCellularAutomata.01.Fra
169 reference(s)
90-Galerie_SignalProcessing.FV
169 reference(s)
91-CompressionDeCompression_ComplexiteStructurelle.bzip2_ZP.01
168 reference(s)
92-logiciel
167 reference(s)
93-CompressionDeCompression_ComplexiteStructurelle.bzip2_CDC_8.01
167 reference(s)
94-demo14
166 reference(s)
95-mail.01.vv
165 reference(s)
96-VisitesGaleriesEnfouies.01.Fra
165 reference(s)
97-Galerie_SalonDAutomne
165 reference(s)
98-genielogiciel
164 reference(s)
99-infinity.01.vv
163 reference(s)
100-Commentaires_NKleinBottle.01
163 reference(s)
101-Galerie_ParticleSystems
162 reference(s)
102-Galerie_NewPictures.FV
162 reference(s)
103-EnsembleDesGaleries.DIAPO.0001
162 reference(s)
104-demo_14.FV
161 reference(s)
105-EnsembleDesGaleries.DIAPO.0365
161 reference(s)
106-Galerie_CelestialMechanics
159 reference(s)
107-EnsembleDesGaleries.DIAPO.0366
159 reference(s)
108-MonodimensionalCellularAutomata.01.Ang
158 reference(s)
109-ManyChaos.01.Ang
157 reference(s)
110-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
157 reference(s)
111-ArtScience.11.Ang.DIAPO.0011
156 reference(s)
112-xrC_____OBJC.X3___1_______.11.Recursive.t.
155 reference(s)
113-Spheres.01
154 reference(s)
114-FaireDesMathematiques.01.Fra
154 reference(s)
115-CompressionDeCompression_ComplexiteStructurelle.Optimal_Z.01
154 reference(s)
116-CompressionDeCompression_ComplexiteStructurelle.Optimal_R.04
154 reference(s)
117-xDarchivesG__CMS5__sources__CMS5_____SIS_CMS5_4
153 reference(s)
118-ConjectureDeSyracuse_0256.vv
153 reference(s)
119-CompressionDeCompression_ComplexiteStructurelle.bzip2_R.03
153 reference(s)
120-Galerie_FluidMechanics.FV
152 reference(s)
121-copyright.01.
151 reference(s)
122-catalogue.11
151 reference(s)
123-NatureDesMathematiques.01.vv.Fra
151 reference(s)
124-NombresEtLumiere.01.vv.Fra
150 reference(s)
125-Fractal.03
150 reference(s)
126-OrdinateursEtCalculs.01.Fra
149 reference(s)
127-Galerie_TextureSynthesis.DIAPO.0099
149 reference(s)
128-EntrelacsIntertwinings.01.Ang
149 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.