Monthly Best Of on 03/28/2017




The 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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(CMAP28 WWW site: this page was created on 03/28/2017 and last updated on 06/30/2018 14:07:36 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Hypercube
1-891 reference(s)
Bidimensional Hilbert Curve -iteration 4-
2-404 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-334 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
4-324 reference(s)
Happy new year 2000
5-257 reference(s)
Autostereogram with an hidden volcano
6-243 reference(s)
Autostereogram with an hidden volcano
7-210 reference(s)
The Bonan-Jeener's triple Klein bottle
8-185 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
9-178 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
10-177 reference(s)
Erosion of a bidimensional random (with small and large scale correlations)medium
11-164 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
12-158 reference(s)
Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
13-141 reference(s)
The random walk of photons escaping the Sun
14-135 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
15-133 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
16-124 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
17-121 reference(s)
Autostereogram with an hidden ring and ghost bows
18-120 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
19-117 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
20-117 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
21-112 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
22-109 reference(s)
A pseudo-periodical Penrose tiling of the plane
23-106 reference(s)
Artistic view of the prime numbers
24-105 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
25-104 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
26-92 reference(s)
The first four iterations of the construction of the von Koch snowflake
27-90 reference(s)
The generalized Ulam spiral
28-81 reference(s)
The Jeener's triple Klein bottle
29-73 reference(s)
Quantum vacuum fluctuations
30-72 reference(s)
A perfect bidimensional fractal tree and the self-similarity
31-72 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
32-68 reference(s)
Autostereogram with an hidden volcano
33-66 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
34-65 reference(s)
Tridimensional display of the inflationary Universe
35-62 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
36-62 reference(s)
Autostereogram with an hidden volcano
37-61 reference(s)
The bidimensional John Conway's life game
38-57 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
39-56 reference(s)
The Universe at the heart of a Calabi-Yau manifold
40-54 reference(s)
The random walk of photons escaping the Sun
41-54 reference(s)
Fractal natural form
42-53 reference(s)
Autostereogram with an hidden ring and ghost bows
43-52 reference(s)
The random walk of photons escaping the Sun
44-48 reference(s)
An Archimedes spiral displaying 10000 numbers
45-48 reference(s)
Sixteen interlaced fractal torus
46-47 reference(s)
Tridimensional display of the Riemann Zeta function inside (+0.1,+0.9)x(0,+50)
47-46 reference(s)
The Möbius strip
48-44 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
49-43 reference(s)
The Klein bottle
50-43 reference(s)
Fractal natural form
51-41 reference(s)
Bidimensional texture animation by means of the Generalized Product
52-41 reference(s)
True colors autostereogram of a fractal landscape
53-41 reference(s)
From Mars to the Sun
54-41 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
55-41 reference(s)
Bidimensional geometrical texture animation
56-40 reference(s)
Tridimensional texture animation by means of the Generalized Product
57-40 reference(s)
A pseudo-periodical Penrose tiling of the plane
58-39 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
59-39 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
60-39 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
61-39 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
62-39 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
63-39 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
64-38 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
65-38 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
66-38 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-
67-38 reference(s)
From 'geocentrism' to 'heliocentrism'
68-38 reference(s)
Tridimensional zoom in on the Mandelbrot set
69-38 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
70-38 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
71-37 reference(s)
Tridimensional Hilbert Curve -iteration 3-
72-37 reference(s)
Pseudo Olympic Rings
73-36 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
74-36 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
75-36 reference(s)
A fractal vegetal structure
76-35 reference(s)
Autostereogram with an hidden volcano
77-35 reference(s)
The first four iterations of the construction of the von Koch snowflake
78-33 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
79-33 reference(s)
The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
80-32 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
81-31 reference(s)
Quark and gluon structure of a nucleon
82-31 reference(s)
A 'bidimensional epicycloïdal' pseudo-torus
83-31 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
84-30 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+20.0)x(-15.0,+15.0) (bird's-eye view)
85-29 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
86-28 reference(s)
Autostereogram of Monument Valley
87-26 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
88-26 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
89-25 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
90-25 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
91-25 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
92-24 reference(s)
Generation of the 63 first Conway's surreal numbers
93-24 reference(s)
Anaglyph -blue=right, red=left- of a fractal hypercube
94-24 reference(s)
An helix on a 'tridimensional epicycloïdal' pseudo-torus
95-23 reference(s)
The 64 first lines of the Pascal's Triangle
96-22 reference(s)
An helix on a torus
97-21 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
98-21 reference(s)
The tower -a tribute to Vladimir Tatline-
99-21 reference(s)
Jean-François Colonna
100-20 reference(s)
No Title 0261
101-20 reference(s)
The 64 first lines of the Pascal's Triangle
102-19 reference(s)
A truncated tridimensional sphere with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
103-19 reference(s)
The Boy surface
104-19 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)
105-19 reference(s)
The Lorenz attractor
106-19 reference(s)
The Lorenz attractor
107-19 reference(s)
A 'tridimensional epicycloïdal' pseudo-torus
108-19 reference(s)
Universe or Multiverse -The fractal Universe-?
109-18 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
110-18 reference(s)
A punched paper tape
111-18 reference(s)
A tridimensional cubic mesh with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
112-18 reference(s)
The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
113-18 reference(s)
Monument Valley à la David Hockney
114-18 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
115-18 reference(s)
A fractal hypercube
116-18 reference(s)
No Title 0260
117-18 reference(s)
Two helices on the Bonan-Jeener's triple Klein bottle
118-18 reference(s)
Quantum vacuum fluctuations
119-17 reference(s)
A pseudo-periodical Penrose tiling of the plane
120-17 reference(s)
The Sierpinski carpet -iteration 5-
121-17 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
122-17 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
123-17 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
124-17 reference(s)
N-body problem integration (N=10)displaying the actual Solar System
125-17 reference(s)
A quoi servent les Mathématiques?
126-17 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0)
127-16 reference(s)
An Archimedes spiral displaying 50000 numbers
128-16 reference(s)




2-The 128 most referenced Pages:



1-demo_14
1012 reference(s)
2-AVirtualSpaceTimeTravelMachine.Ang
643 reference(s)
3-An2000.01.Fra
415 reference(s)
4-ComplexiteStructurelleClassements.11
368 reference(s)
5-Stereogrammes_AutoStereogrammes.01
367 reference(s)
6-Vcatalogue.11
346 reference(s)
7-help.
314 reference(s)
8-Galerie_GeneralitiesVisualization.FV
306 reference(s)
9-Fractal.01
277 reference(s)
10-GenieLogiciel_VisualisationScientifique.01.vv
275 reference(s)
11-Galerie_NumberTheory.FV
261 reference(s)
12-AVirtualSpaceTimeTravelMachine.Fra
258 reference(s)
13-GoldenTriangle.01.Fra
255 reference(s)
14-FaireDeLaRecherche.01.vv
247 reference(s)
15-RealNumbers.01.Fra
243 reference(s)
16-mail.01.vv
237 reference(s)
17-Galerie_DeterministicFractalGeometry.FV
233 reference(s)
18-Galerie_ParticleSystems.FV
230 reference(s)
19-AQuoiServentLesMathematiques.01
230 reference(s)
20-Galerie_ArtAndScience.FV
226 reference(s)
21-AProposSite.01.Fra
225 reference(s)
22-ExpV_VirE.11
224 reference(s)
23-UlamSpiral.01.Fra
221 reference(s)
24-Galerie_NewPictures.FV
221 reference(s)
25-FloatingPointNumbers.01.Fra
221 reference(s)
26-Galerie_BestOf.FV
219 reference(s)
27-SurfaceProjector.01.Fra
217 reference(s)
28-MathematiquesPhysiqueFractales.02
212 reference(s)
29-Galerie_QuantumMechanics.FV
212 reference(s)
30-AnimFractal.01.
210 reference(s)
31-MorePages.
204 reference(s)
32-Fractal.11
204 reference(s)
33-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
204 reference(s)
34-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
203 reference(s)
35-Galerie_CelestialMechanics.FV
200 reference(s)
36-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
199 reference(s)
37-Galerie_ArtisticCreation.FV
199 reference(s)
38-SurfaceProjector.01.Ang
198 reference(s)
39-NDimensionalDeterministicFractalSets.01.Fra
196 reference(s)
40-copyright.01.
195 reference(s)
41-NombresEtLumiere.01.vv.Fra
195 reference(s)
42-NDimensionalDeterministicFractalSets.01.Ang
192 reference(s)
43-ImpossibleStructures.01.Ang
190 reference(s)
44-Galerie_FluidMechanics.FV
190 reference(s)
45-catalogue.11
189 reference(s)
46-MathematiquesPhysiqueFractales.22
189 reference(s)
47-LOG_xiMc.11
189 reference(s)
48-FloatingPointNumbers.01.Ang
187 reference(s)
49-Galerie_DeterministicChaos.FV
184 reference(s)
50-Galerie_Astrophysics.FV
184 reference(s)
51-OrdinateursEtCalculs.01.Fra
182 reference(s)
52-MonodimensionalCellularAutomata.01.Fra
182 reference(s)
53-PerteDeLAssociativite.01
180 reference(s)
54-OrdinateurMathematiquesArt.01.Fra
180 reference(s)
55-GenieLogiciel.01.Fra
179 reference(s)
56-ImpossibleStructures.01.Fra
178 reference(s)
57-EntrelacsIntertwinings.01.Ang
178 reference(s)
58-subject.01.
177 reference(s)
59-MonodimensionalCellularAutomata.01.Ang
177 reference(s)
60-EntrelacsIntertwinings.01.Fra
177 reference(s)
61-infinity.01.vv
176 reference(s)
62-NatureDesMathematiques.01.vv.Fra
176 reference(s)
63-realnumbers
175 reference(s)
64-Kepler.02.
175 reference(s)
65-Fractal.03
175 reference(s)
66-FaireDesMathematiques.01.Fra
174 reference(s)
67-DieuScience.01.Fra
174 reference(s)
68-Galerie_TextureSynthesis.FV
173 reference(s)
69-infinity.02.vv
172 reference(s)
70-VirtualChaos.01.Fra
172 reference(s)
71-demo.14
171 reference(s)
72-VirtualChaos.01.Ang
171 reference(s)
73-UlamSpiral.01.Ang
171 reference(s)
74-MathematiquesModeleOutilArtiste.02.Ang
171 reference(s)
75-Informations_GoodNewsAndBadNews.01.Fra
171 reference(s)
76-Galerie_SignalProcessing.FV
171 reference(s)
77-nombresreels
170 reference(s)
78-genielogiciel
170 reference(s)
79-ImagesDuVirtuel.01.Fra.FV
170 reference(s)
80-fairedelarecherche.01.vv
169 reference(s)
81-MiseEnSceneDesNombres.01.vv.Fra
169 reference(s)
82-IllusionConnaissance.02
169 reference(s)
83-Galerie_SensitivityToRoundingOffErrors.FV
169 reference(s)
84-demo
168 reference(s)
85-logiciel
167 reference(s)
86-create.03.
167 reference(s)
87-VisitesGaleriesEnfouies.01.Fra
167 reference(s)
88-GoldenTriangle.01.Ang
167 reference(s)
89-demo14
166 reference(s)
90-EnsembleDesGaleriesFractales.DIAPO.0001
166 reference(s)
91-OrdinateursEtCalculs.01.Ang
165 reference(s)
92-MathematiquesLangageDuGrandLivreDeLaNature.12
165 reference(s)
93-an2000
164 reference(s)
94-ManyChaos.01.Ang
164 reference(s)
95-Spheres.01
163 reference(s)
96-RemarquesCerveau.01
163 reference(s)
97-MathematiquesEtCinematographe.01.vv
163 reference(s)
98-ManyChaos.01.Fra
163 reference(s)
99-EnsembleDesGaleries.DIAPO.0001
163 reference(s)
100-Autostereograms.01.
163 reference(s)
101-Fractal.02
162 reference(s)
102-ExpV_VirE.Ang
162 reference(s)
103-VisitesGaleriesEnfouies.01.Ang
160 reference(s)
104-PatrimoineHumanite.02.Fra
160 reference(s)
105-MathematiquesEtRepresentations.01.vv.Ang
160 reference(s)
106-DuModeleALImage.02.Fra
160 reference(s)
107-RasoirDOccamEtMathematiques.01.vv.Fra
159 reference(s)
108-RasoirDOccamEtMathematiques.01.vv.Ang
159 reference(s)
109-LesApprentisDieux.01
159 reference(s)
110-Galerie_Tributes.FV
159 reference(s)
111-MiseEnSceneDesNombres.01.vv.Ang
158 reference(s)
112-VisualisationRelief.01.vv.Fra
156 reference(s)
113-MathematiquesPhysiqueFractales.01
156 reference(s)
114-QuelquesQuestionsSurLaRecherche.01.Fra
154 reference(s)
115-AvantPropos.01.Ang
154 reference(s)
116-AvantPropos.01.Fra
153 reference(s)
117-Informations_AboutPicturesAnimationsAndFiles.01.Ang
150 reference(s)
118-PerteDeLaDistributivite.01.DIS2
144 reference(s)
119-Commentaires_Epicycloide.03
142 reference(s)
120-ExpV_VirE.21
140 reference(s)
121-VisSci_SciVis.02
138 reference(s)
122-VisSci_SciVis.01
137 reference(s)
123-An2000.02.Fra
137 reference(s)
124-MathematiquesPhysiqueFractales.02.25
136 reference(s)
125-Commentaires_DoubleJeenerBottle.01
136 reference(s)
126-goldentriangle.01.fra
134 reference(s)
127-present.01.
132 reference(s)
128-relativity.01.
131 reference(s)

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




Copyright (c) Jean-François Colonna, 2017-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2017-2018.