Monthly Best Of on 01/28/2019




The ABC conjecture

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 01/28/2019 and last updated on 06/04/2019 15:35:26 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Happy new year 2000
1-386 reference(s)
The random walk of photons escaping the Sun
2-227 reference(s)
The random walk of photons escaping the Sun
3-173 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
4-162 reference(s)
Hypercube
5-154 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
6-145 reference(s)
Erosion of a bidimensional random (with small and large scale correlations)medium
7-134 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
8-133 reference(s)
Recursive subdivision of four Golden Rectangles -a tribute to Piet Mondrian-
9-116 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
10-100 reference(s)
A tridimensional distorted cubic mesh defined by means of three tridimensional fields
11-87 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
12-80 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
13-72 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
14-66 reference(s)
The bidimensional John Conway's life game
15-65 reference(s)
Artistic view of the prime numbers
16-64 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
17-56 reference(s)
The Jeener's triple Klein bottle
18-55 reference(s)
Autostereogram with an hidden volcano
19-54 reference(s)
The Bonan-Jeener's triple Klein bottle
20-53 reference(s)
My own triple impossible staircase -a tribute to Maurits Cornelis Escher-
21-52 reference(s)
Pseudo Olympic Rings
22-49 reference(s)
The generalized Ulam spiral
23-49 reference(s)
From 'geocentrism' to 'heliocentrism'
24-49 reference(s)
Autostereogram with an hidden volcano
25-47 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-
26-47 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
27-47 reference(s)
The random walk of photons escaping the Sun
28-44 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
29-44 reference(s)
Anaglyph -blue=right, red=left- of a fractal hypercube
30-42 reference(s)
Autostereogram with an hidden volcano
31-41 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
32-41 reference(s)
Gravitation and space-time curvature
33-40 reference(s)
The Möbius strip
34-40 reference(s)
From Mars to the Sun
35-39 reference(s)
A spherical cross-section inside the Menger sponge -iteration 5-
36-39 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
37-39 reference(s)
Bidimensional Hilbert Curve -iteration 4-
38-39 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
39-39 reference(s)
Bidimensional geometrical texture animation
40-38 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
41-38 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
42-38 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
43-38 reference(s)
Quantum vacuum fluctuations
44-37 reference(s)
Tridimensional texture animation by means of the Generalized Product
45-37 reference(s)
Bidimensional texture animation by means of the Generalized Product
46-37 reference(s)
Tridimensional zoom in on the Mandelbrot set
47-37 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
48-37 reference(s)
No Title 0267 -a tribute to Piet Mondrian-
49-37 reference(s)
A pseudo-periodical Penrose tiling of the plane
50-36 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
51-36 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
52-36 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
53-36 reference(s)
The Universe at the heart of a Calabi-Yau manifold
54-35 reference(s)
Quantum vacuum fluctuations
55-34 reference(s)
Autostereogram with an hidden volcano
56-34 reference(s)
Happy new year 2000
57-34 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
58-33 reference(s)
An Archimedes spiral displaying 5000 numbers
59-33 reference(s)
A fractal Möbius strip
60-33 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
61-33 reference(s)
The Menger sponge -iteration 5-
62-32 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
63-30 reference(s)
Sixteen interlaced fractal torus
64-30 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
65-30 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
66-30 reference(s)
True colors autostereogram of a fractal landscape
67-29 reference(s)
A fractal pseudo-periodical Penrose tiling
68-29 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
69-28 reference(s)
A quaternionic Julia set -tridimensional cross-section-
70-28 reference(s)
The generalized Ulam spiral displaying 100 numbers
71-27 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
72-27 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
73-26 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
74-26 reference(s)
Tridimensional Hilbert Curve -iteration 3-
75-26 reference(s)
A fractal Klein bottle
76-26 reference(s)
Metropolis -a tribute to Fritz Lang-
77-25 reference(s)
A pay slip
78-24 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
79-24 reference(s)
A pseudo-periodical non linear Penrose tiling of the plane
80-23 reference(s)
Quark and gluon structure of a nucleon
81-22 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
82-22 reference(s)
The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
83-22 reference(s)
Fractal Self-Portrait -a tribute to René Magritte-
84-22 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
85-21 reference(s)
A pseudo-periodical Penrose tiling of the plane
86-21 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
87-21 reference(s)
Anaglyph -blue=right, red=left- of an hypercube
88-21 reference(s)
The Jeener's quintuple Klein bottle
89-21 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
90-20 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
91-20 reference(s)
Fractal natural form
92-20 reference(s)
Where is the Multiverse?
93-19 reference(s)
Autostereogram with an hidden ring and ghost bows
94-19 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
95-19 reference(s)
N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation
96-19 reference(s)
No Title 0269 -a tribute to Piet Mondrian-
97-19 reference(s)
A pseudo-periodical non linear Penrose tiling of the plane
98-18 reference(s)
The Boy surface
99-18 reference(s)
An Archimedes spiral displaying 100000 numbers
100-18 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
101-18 reference(s)
A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
102-18 reference(s)
The quaternionic Julia set -degree=2- computed -pseudo-addition and pseudo-multiplication in C- with A=(-0.58...,+0.63...,0,0)-tridimensional cross-section-
103-18 reference(s)
The quaternionic Julia set -degree=2- computed -pseudo-addition and pseudo-multiplication in C- with A=(-0.58...,+0.63...,0,0)-tridimensional cross-section-
104-18 reference(s)
The Continuum Hypothesis (CH)
105-18 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
106-18 reference(s)
The Jeener's quintuple Klein bottle
107-18 reference(s)
The bidimensional field defining the three coordinates of the double Jeener bottle
108-18 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
109-17 reference(s)
A pseudo-periodical Penrose tiling of the plane
110-17 reference(s)
Autostereogram of the CMAP
111-17 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
112-17 reference(s)
The Sierpinski carpet -iteration 5-
113-17 reference(s)
Fractal natural form
114-17 reference(s)
Portrait (Lena)-with a 'OY' symmetry-
115-17 reference(s)
Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
116-17 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
117-17 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
118-17 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
119-17 reference(s)
The Jeener's triple Klein bottle
120-17 reference(s)
No Title 0289
121-16 reference(s)
The first four iterations of the construction of the von Koch snowflake
122-16 reference(s)
A pseudo-periodical Penrose tiling of the plane
123-16 reference(s)
The Boy surface
124-16 reference(s)
The pseudo-sphere -a Tribute to Jacques Cartier-
125-16 reference(s)
The bidimensional field defining the three coordinates of a sphere
126-16 reference(s)
A sphere defined by means of three bidimensional fields
127-16 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
128-16 reference(s)




2-The 128 most referenced Pages (*):

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



1-An2000.01.Fra
850 reference(s)
2-ImagesDuVirtuel.01.Fra
834 reference(s)
3-demo_14
819 reference(s)
4-ImagesDuVirtuel.01.Fra.FV
711 reference(s)
5-ComplexiteStructurelleClassements.11
434 reference(s)
6-help.
371 reference(s)
7-AVirtualSpaceTimeTravelMachine.Ang
359 reference(s)
8-Vcatalogue.11
341 reference(s)
9-create.03.
296 reference(s)
10-GenieLogiciel_VisualisationScientifique.01.vv
235 reference(s)
11-MathematiquesPhysiqueFractales.22
230 reference(s)
12-ExpV_VirE.Fra
229 reference(s)
13-DieuScience.01.Fra
228 reference(s)
14-Autostereograms.01.
214 reference(s)
15-Informations_GoodNewsAndBadNews.01.Fra
208 reference(s)
16-Fractal.01
204 reference(s)
17-present.01.
194 reference(s)
18-RealNumbers.01.Fra
184 reference(s)
19-SurfaceProjector.01.Ang
177 reference(s)
20-Informations_GoodNewsAndBadNews.01.Ang
176 reference(s)
21-Galerie_GeneralitiesVisualization.FV
172 reference(s)
22-subject.01.
171 reference(s)
23-Kepler.02.
171 reference(s)
24-NDimensionalDeterministicFractalSets.01.Fra
169 reference(s)
25-Stereogrammes_AutoStereogrammes.01
164 reference(s)
26-mail.01.vv
161 reference(s)
27-demo.14
160 reference(s)
28-realnumbers
159 reference(s)
29-demo14
158 reference(s)
30-an2000
158 reference(s)
31-nombresreels
157 reference(s)
32-Galerie_NumberTheory.FV
157 reference(s)
33-logiciel
156 reference(s)
34-demo
156 reference(s)
35-GoldenTriangle.01.Fra
156 reference(s)
36-FloatingPointNumbers.01.Fra
156 reference(s)
37-genielogiciel
154 reference(s)
38-NDimensionalDeterministicFractalSets.01.Ang
154 reference(s)
39-Galerie_DeterministicFractalGeometry.FV
153 reference(s)
40-ExpV_VirE.11
153 reference(s)
41-AVirtualSpaceTimeTravelMachine.Fra
153 reference(s)
42-Spheres.01
151 reference(s)
43-Fractal.11
151 reference(s)
44-SurfaceProjector.01.Fra
149 reference(s)
45-Commentaires_NKleinBottle.01
147 reference(s)
46-AProposSite.01.Fra
147 reference(s)
47-Galerie_ArtisticCreation.FV
145 reference(s)
48-copyright.01.
144 reference(s)
49-MathematiquesPhysiqueFractales.02
144 reference(s)
50-Galerie_ArtAndScience.FV
144 reference(s)
51-GenieLogiciel.01.Fra
143 reference(s)
52-FloatingPointNumbers.01.Ang
142 reference(s)
53-LOG_xiMc.11
141 reference(s)
54-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
137 reference(s)
55-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
135 reference(s)
56-MonodimensionalCellularAutomata.01.Fra
134 reference(s)
57-AnimFractal.01.
134 reference(s)
58-UlamSpiral.01.Fra
133 reference(s)
59-MorePages.
133 reference(s)
60-infinity.01.vv
132 reference(s)
61-MonodimensionalCellularAutomata.01.Ang
132 reference(s)
62-Galerie_ParticleSystems.FV
131 reference(s)
63-Galerie_NewPictures.FV
131 reference(s)
64-Fractal.03
127 reference(s)
65-Galerie_CelestialMechanics.FV
126 reference(s)
66-AQuoiServentLesMathematiques.01
125 reference(s)
67-Fractal.21
122 reference(s)
68-EntrelacsIntertwinings.01.Ang
122 reference(s)
69-FaireDeLaRecherche.01.vv
121 reference(s)
70-GoldenTriangle.01.Ang
120 reference(s)
71-Galerie_ImagesDesMathematiques.FV
120 reference(s)
72-Fractal.02
120 reference(s)
73-Galerie_BestOf.FV
119 reference(s)
74-ExpV_VirE.21
119 reference(s)
75-catalogue.11
118 reference(s)
76-EntrelacsIntertwinings.01.Fra
118 reference(s)
77-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
117 reference(s)
78-OrdinateursEtCalculs.01.Fra
116 reference(s)
79-MathematiquesPhysiqueFractales.12
116 reference(s)
80-MathematiquesPhysiqueFractales.01
116 reference(s)
81-VisSci_SciVis.02
115 reference(s)
82-PerteDeLAssociativite.01.MUL3
115 reference(s)
83-NatureDesMathematiques.01.vv.Fra
115 reference(s)
84-MathematiquesLangageDuGrandLivreDeLaNature.12
114 reference(s)
85-Galerie_QuantumMechanics.FV
114 reference(s)
86-DuModeleALImage.02.Fra
113 reference(s)
87-PerteDeLAssociativite.01
112 reference(s)
88-OrdinateurMathematiquesArt.01.Fra
112 reference(s)
89-DecimalesPi_100000.vv
112 reference(s)
90-OrdinateursEtCalculs.01.Ang
111 reference(s)
91-LesApprentisDieux.01
111 reference(s)
92-Galerie_SignalProcessing.FV
111 reference(s)
93-Galerie_DeterministicChaos.FV
111 reference(s)
94-IllusionConnaissance.02
110 reference(s)
95-MathematiquesModeleOutilArtiste.02.Ang
109 reference(s)
96-Galerie_SensitivityToRoundingOffErrors.FV
109 reference(s)
97-An2000.01.Ang
109 reference(s)
98-Informations_AboutPicturesAnimationsAndFiles.01.Ang
108 reference(s)
99-EnsembleDesGaleriesFractales.DIAPO.0001
108 reference(s)
100-FaireDesMathematiques.01.Fra
107 reference(s)
101-Commentaires_NKleinBottle.03
107 reference(s)
102-NombresEtLumiere.01.vv.Fra
106 reference(s)
103-HommageBenoitMandelbrot.21
106 reference(s)
104-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
106 reference(s)
105-Galerie_NewPictures
106 reference(s)
106-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
106 reference(s)
107-ExpV_VirE.01.Fra
106 reference(s)
108-ArtScience.01
106 reference(s)
109-infinity.02.vv
105 reference(s)
110-RasoirDOccamEtMathematiques.01.vv.Fra
105 reference(s)
111-ImpossibleStructures.01.Fra
105 reference(s)
112-Galerie_TextureSynthesis.FV
105 reference(s)
113-EnsembleDesGaleries.DIAPO.0001
105 reference(s)
114-Commentaires_DefinitionQuaternions.01
105 reference(s)
115-Commentaires_Cylindre.02
105 reference(s)
116-An2000.02.Fra
105 reference(s)
117-UlamSpiral.01.Ang
104 reference(s)
118-PatrimoineHumanite.02.Fra
104 reference(s)
119-MiseEnSceneDesNombres.01.vv.Fra
104 reference(s)
120-MathematiquesEtCinematographe.01.vv
104 reference(s)
121-Galerie_ImagesDidactiques.FV
104 reference(s)
122-DecimalesPi_1_100.vv
104 reference(s)
123-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
104 reference(s)
124-Commentaires_DefinitionPseudoQuaternions.01
104 reference(s)
125-An2000.04.Fra
104 reference(s)
126-VirtualChaos.01.Fra
103 reference(s)
127-NombresPremiers_10000.vv
103 reference(s)
128-Galerie_Astrophysics.FV
103 reference(s)

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