Monthly Best Of on 06/28/2016




A surface between the Klein bottle and a 'double sphere' defined by means of three bidimensional fields

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 06/28/2016 and last updated on 06/30/2018 14:07:30 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Hypercube
1-494 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-424 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
3-416 reference(s)
Bidimensional Hilbert Curve -iteration 4-
4-377 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
5-233 reference(s)
Sixteen interlaced torus
6-231 reference(s)
Happy new year 2000
7-215 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
8-204 reference(s)
Autostereogram with an hidden volcano
9-186 reference(s)
Autostereogram with an hidden volcano
10-186 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
11-185 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
12-154 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
13-143 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
14-140 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
15-139 reference(s)
Autostereogram with an hidden volcano
16-131 reference(s)
The Bonan-Jeener's triple Klein bottle
17-112 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
18-105 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
19-104 reference(s)
Tridimensional Hilbert Curve -iteration 3-
20-101 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
21-96 reference(s)
Pseudo Olympic Rings
22-89 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
23-78 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
24-78 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
25-74 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
26-70 reference(s)
Artistic view of the prime numbers
27-67 reference(s)
Quantum vacuum fluctuations
28-63 reference(s)
The random walk of photons escaping the Sun
29-62 reference(s)
Autostereogram with an hidden volcano
30-61 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
31-59 reference(s)
Quark and gluon structure of a nucleon
32-58 reference(s)
The bidimensional John Conway's life game
33-58 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
34-56 reference(s)
The generalized Ulam spiral
35-55 reference(s)
Fractal natural form
36-53 reference(s)
The Jeener's triple Klein bottle
37-51 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
38-50 reference(s)
The random walk of photons escaping the Sun
39-49 reference(s)
From 'geocentrism' to 'heliocentrism'
40-48 reference(s)
Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
41-48 reference(s)
Autostereogram with an hidden ring and ghost bows
42-45 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
43-45 reference(s)
Sixteen interlaced fractal torus
44-45 reference(s)
The random walk of photons escaping the Sun
45-42 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-
46-42 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
47-42 reference(s)
Tridimensional zoom in on the Mandelbrot set
48-40 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
49-40 reference(s)
Bidimensional texture animation by means of the Generalized Product
50-39 reference(s)
The Möbius strip
51-39 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
52-38 reference(s)
Tridimensional texture animation by means of the Generalized Product
53-38 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
54-38 reference(s)
3-foil knot
55-38 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+20.0)x(-15.0,+15.0) (bird's-eye view)
56-37 reference(s)
Autostereogram with an hidden volcano
57-37 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
58-37 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
59-37 reference(s)
From Mars to the Sun
60-37 reference(s)
Bidimensional geometrical texture animation
61-36 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
62-36 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
63-36 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
64-36 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
65-36 reference(s)
True colors autostereogram of a fractal landscape
66-34 reference(s)
The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
67-34 reference(s)
A pseudo-periodical Penrose tiling of the plane
68-33 reference(s)
Fractal natural form
69-33 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
70-32 reference(s)
The Jeener's triple Klein bottle
71-32 reference(s)
Tridimensional display of the Riemann Zeta function inside (+0.1,+0.9)x(0,+50)
72-31 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
73-30 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
74-30 reference(s)
Generation of the 63 first Conway's surreal numbers
75-30 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
76-30 reference(s)
Autostereogram with an hidden ring and ghost bows
77-30 reference(s)
An Archimedes spiral displaying 5000 numbers
78-30 reference(s)
A set of 4x3 stereograms of a fractal hypercube
79-30 reference(s)
Autostereogram of Monument Valley
80-29 reference(s)
The Klein bottle
81-29 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
82-28 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
83-28 reference(s)
An Archimedes spiral displaying 10000 numbers
84-27 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
85-27 reference(s)
The Universe at the heart of a Calabi-Yau manifold
86-26 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
87-25 reference(s)
An Archimedes spiral displaying 50000 numbers
88-25 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Sun point of view-
89-25 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)
90-25 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
91-25 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
92-25 reference(s)
Quantum vacuum fluctuations
93-24 reference(s)
The journey of a sphere (dark blue)in a system of pure uniform non concentric circular motions -moving point of view (dark blue)-
94-24 reference(s)
Tridimensional display of the inflationary Universe
95-24 reference(s)
No Title 0247
96-23 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
97-23 reference(s)
Paradoxal Monument Valley at sunset
98-22 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
99-22 reference(s)
Bidimensional zoom in on the Mandelbrot set
100-22 reference(s)
A quaternionic Julia set -tridimensional cross-section-
101-22 reference(s)
A fractal hypercube
102-22 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
103-21 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
104-20 reference(s)
N-body problem integration (N=10)displaying the actual Solar System
105-19 reference(s)
The Lorenz attractor
106-19 reference(s)
Anaglyph -blue=right, red=left- of a fractal hypercube
107-19 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0) (bird's-eye view)
108-18 reference(s)
A random tridimensional binary tree
109-18 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral -with display of the spiral-
110-18 reference(s)
Electron-positron scattering
111-18 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
112-18 reference(s)
A pay slip
113-17 reference(s)
Generation of the 63x63 first Conway's surreal complex numbers
114-16 reference(s)
Fractal structure of a nucleon
115-16 reference(s)
Quark and gluon structure of a nucleon
116-16 reference(s)
The Möbius strip
117-16 reference(s)
The Menger sponge -iteration 5-
118-16 reference(s)
The Lorenz attractor
119-16 reference(s)
A two sheet hyperboloid of revolution
120-16 reference(s)
Tridimenional display of the Goldbach conjecture
121-16 reference(s)
Tridimensional fractal structure -the space-time foam?-
122-16 reference(s)
A shell (Jeener surface 1)in motion
123-16 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
124-16 reference(s)
No Title 0246
125-15 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
126-15 reference(s)
A punched paper tape
127-15 reference(s)
An arbitrary surface (Jeener surface 2)
128-15 reference(s)




2-The 128 most referenced Pages:



1-demo_14
904 reference(s)
2-GenieLogiciel_VisualisationScientifique.01.vv
712 reference(s)
3-galerie_nondeterministicfractalgeometrynaturalphenomenonsynthesis.fv
453 reference(s)
4-An2000.01.Fra
392 reference(s)
5-Stereogrammes_AutoStereogrammes.01
337 reference(s)
6-AVirtualSpaceTimeTravelMachine.Fra
265 reference(s)
7-Vcatalogue.11
264 reference(s)
8-help.
259 reference(s)
9-FaireDeLaRecherche.01.vv
252 reference(s)
10-Fractal.01
249 reference(s)
11-AVirtualSpaceTimeTravelMachine.Ang
245 reference(s)
12-copyright.01.
237 reference(s)
13-mail.01.vv
226 reference(s)
14-stereogrammes_autostereogrammes.01
225 reference(s)
15-RealNumbers.01.Fra
224 reference(s)
16-Galerie_NumberTheory.FV
220 reference(s)
17-AProposSite.01.Fra
219 reference(s)
18-FloatingPointNumbers.01.Fra
217 reference(s)
19-AnimFractal.01.
210 reference(s)
20-Galerie_QuantumMechanics.FV
204 reference(s)
21-MathematiquesPhysiqueFractales.02
200 reference(s)
22-UlamSpiral.01.Fra
199 reference(s)
23-NombresEtLumiere.01.vv.Fra
199 reference(s)
24-Galerie_NewPictures.FV
198 reference(s)
25-AQuoiServentLesMathematiques.01
192 reference(s)
26-Galerie_ParticleSystems.FV
191 reference(s)
27-Fractal.11
189 reference(s)
28-Galerie_GeneralitiesVisualization.FV
187 reference(s)
29-Galerie_CelestialMechanics.FV
187 reference(s)
30-Galerie_BestOf.FV
187 reference(s)
31-Galerie_ArtAndScience.FV
187 reference(s)
32-SurfaceProjector.01.Fra
186 reference(s)
33-SurfaceProjector.01.Ang
184 reference(s)
34-NDimensionalDeterministicFractalSets.01.Ang
182 reference(s)
35-GoldenTriangle.01.Fra
182 reference(s)
36-Galerie_ArtisticCreation.FV
182 reference(s)
37-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
182 reference(s)
38-NDimensionalDeterministicFractalSets.01.Fra
180 reference(s)
39-Informations_GoodNewsAndBadNews.01.Fra
180 reference(s)
40-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
180 reference(s)
41-MorePages.
175 reference(s)
42-Galerie_DeterministicFractalGeometry.FV
175 reference(s)
43-EntrelacsIntertwinings.01.Fra
173 reference(s)
44-fairedelarecherche.01.vv
172 reference(s)
45-LOG_xiMc.11
171 reference(s)
46-NatureDesMathematiques.01.vv.Fra
170 reference(s)
47-MonodimensionalCellularAutomata.01.Fra
170 reference(s)
48-catalogue.11
169 reference(s)
49-MathematiquesPhysiqueFractales.22
169 reference(s)
50-Galerie_FluidMechanics.FV
169 reference(s)
51-ExpV_VirE.11
169 reference(s)
52-infinity.01.vv
167 reference(s)
53-FloatingPointNumbers.01.Ang
164 reference(s)
54-DuModeleALImage.02.Fra
164 reference(s)
55-OrdinateurMathematiquesArt.01.Fra
163 reference(s)
56-Kepler.02.
163 reference(s)
57-Galerie_DeterministicChaos.FV
163 reference(s)
58-Autostereograms.01.
162 reference(s)
59-demo
161 reference(s)
60-nombresreels
160 reference(s)
61-genielogiciel
160 reference(s)
62-demo14
159 reference(s)
63-an2000
159 reference(s)
64-VirtualChaos.01.Fra
159 reference(s)
65-OrdinateursEtCalculs.01.Fra
159 reference(s)
66-DieuScience.01.Fra
159 reference(s)
67-realnumbers
158 reference(s)
68-demo.14
158 reference(s)
69-aquoiserventlesmathematiques.01
157 reference(s)
70-ImpossibleStructures.01.Fra
157 reference(s)
71-ImagesDuVirtuel.01.Fra.FV
157 reference(s)
72-GenieLogiciel.01.Fra
155 reference(s)
73-EntrelacsIntertwinings.01.Ang
155 reference(s)
74-subject.01.
154 reference(s)
75-UlamSpiral.01.Ang
153 reference(s)
76-Fractal.03
153 reference(s)
77-create.03.
152 reference(s)
78-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
152 reference(s)
79-MonodimensionalCellularAutomata.01.Ang
152 reference(s)
80-RasoirDOccamEtMathematiques.01.vv.Fra
151 reference(s)
81-infinity.02.vv
150 reference(s)
82-MathematiquesModeleOutilArtiste.02.Ang
150 reference(s)
83-Galerie_Astrophysics.FV
150 reference(s)
84-VisitesGaleriesEnfouies.01.Fra
149 reference(s)
85-IllusionConnaissance.02
149 reference(s)
86-Galerie_SignalProcessing.FV
149 reference(s)
87-logiciel
148 reference(s)
88-VisitesGaleriesEnfouies.01.Ang
148 reference(s)
89-OrdinateursEtCalculs.01.Ang
148 reference(s)
90-RemarquesCerveau.01
147 reference(s)
91-Galerie_ImagesDidactiques.FV
147 reference(s)
92-Galerie_SensitivityToRoundingOffErrors.FV
146 reference(s)
93-MiseEnSceneDesNombres.01.vv.Fra
145 reference(s)
94-ManyChaos.01.Ang
145 reference(s)
95-ImpossibleStructures.01.Ang
145 reference(s)
96-Galerie_TextureSynthesis.FV
145 reference(s)
97-ExpV_VirE.Ang
145 reference(s)
98-Spheres.01
144 reference(s)
99-PatrimoineHumanite.02.Fra
144 reference(s)
100-Fractal.02
141 reference(s)
101-MiseEnSceneDesNombres.01.vv.Ang
140 reference(s)
102-GoldenTriangle.01.Ang
140 reference(s)
103-EnsembleDesGaleriesFractales.DIAPO.0001
140 reference(s)
104-QuelquesQuestionsSurLaRecherche.01.Fra
139 reference(s)
105-PerteDeLAssociativite.01
139 reference(s)
106-MathematiquesEtCinematographe.01.vv
139 reference(s)
107-Galerie_Tributes.FV
139 reference(s)
108-ManyChaos.01.Fra
137 reference(s)
109-EnsembleDesGaleries.DIAPO.0001
137 reference(s)
110-LesApprentisDieux.01
136 reference(s)
111-AvantPropos.01.Ang
136 reference(s)
112-VirtualChaos.01.Ang
135 reference(s)
113-RasoirDOccamEtMathematiques.01.vv.Ang
135 reference(s)
114-AvantPropos.01.Fra
135 reference(s)
115-An2000.02.Fra
135 reference(s)
116-VisualisationRelief.01.vv.Fra
134 reference(s)
117-MathematiquesEtRepresentations.01.vv.Ang
134 reference(s)
118-ExpV_VirE.21
130 reference(s)
119-Informations_AboutPicturesAnimationsAndFiles.01.Ang
127 reference(s)
120-Commentaires_NKleinBottle.01
126 reference(s)
121-fractal.01
125 reference(s)
122-VisSci_SciVis.02
123 reference(s)
123-MinistreEducationNationale.01.Fra
120 reference(s)
124-relativity.01.
119 reference(s)
125-present.01.
119 reference(s)
126-VisSci_SciVis.01
119 reference(s)
127-ImagesDuVirtuel.01.Fra
118 reference(s)
128-xDarchivesG__CMS5__sources__CMS5_____SIS_CMS5_12
117 reference(s)

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Copyright (c) Jean-François Colonna, 2016-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2016-2018.