Monthly Best Of on 10/28/2024




The ABC conjecture

Jean-François COLONNA
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www.lactamme.polytechnique.fr

CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, École polytechnique, Institut Polytechnique de Paris, CNRS, France

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Contents of this page:


1-The 128 most referenced Pictures (*):

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



The eroded Menger Sponge -iteration 3-
1-741 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
2-131 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-114 reference(s)		Autostereogram with an hidden volcano
4-106 reference(s)
The Goldbach conjecture
5-106 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
6-102 reference(s)		The Sierpinski Carpet -iteration 1 to 5-
7-101 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
8-100 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
9-95 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
10-90 reference(s)		The random walk of photons escaping the Sun
11-87 reference(s)		24 evenly distributed points on a sphere by means of simulated annealing
12-87 reference(s)
An amazing cross-section inside the Menger Sponge -iteration 5-
13-86 reference(s)		Quark and gluon structure of a nucleon
14-85 reference(s)		Autostereogram with an hidden volcano
15-84 reference(s)		The Menger Sponge -iteration 5-
16-84 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
17-83 reference(s)		A sphere defined by means of three bidimensional fields
18-83 reference(s)		Tridimensional localization of a point P its distances to the four vertices of a tetrahedron ABCD being known
19-83 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
20-79 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
21-79 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
22-79 reference(s)		Artistic view of the Big Bang
23-78 reference(s)		The Menger Sponge -iteration 5-
24-78 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
25-78 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
26-78 reference(s)		Artistic view of the prime numbers
27-77 reference(s)		The Syracuse conjecture for U(0)={1,2,3,4,...,128} -monodimensional display of the parities-
28-76 reference(s)
A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
29-76 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
30-76 reference(s)		The Bonan-Jeener-Klein triple bottle
31-76 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
32-74 reference(s)
A spherical cross-section inside the Menger Sponge -iteration 5-
33-73 reference(s)		Untitled 0341
34-70 reference(s)		Untitled 0315
35-69 reference(s)		Tridimensional visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
36-69 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
37-69 reference(s)		A sphere computed with the 'max-plus' arithmetic (maximum,addition)
38-68 reference(s)		A half-random extended Menger Sponge -iteration 5-
39-68 reference(s)		A double spherical cross-section inside the Menger Sponge -iteration 5-
40-68 reference(s)
Tridimensional representation of our familiar tridimensional space
41-68 reference(s)		Rotation about the Y (vertical)axis of a tridimensional representation of quadridimensional Calabi-Yau manifolds that can also be viewed as a set of 4x3 stereograms -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
42-68 reference(s)		The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
43-68 reference(s)		Untitled 0323
44-67 reference(s)
A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
45-67 reference(s)		Tridimensional visualization of the ABC conjecture
46-67 reference(s)		The Sierpinski Carpet -iteration 3-
47-66 reference(s)		Dissonance chaude/Dissonance froide -a Tribute to Paul Sérusier-
48-66 reference(s)
A 'conic' cross-section inside the Menger Sponge -iteration 5-, 'Ô temps tes pyramides' -a Tribute to Jorge Luis Borges-
49-66 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
50-66 reference(s)		A Ball described by means of a Tridimensional Hilbert-like Curve -iteration 4-
51-66 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
52-66 reference(s)
The Many World Theory of Hugh Everett
53-65 reference(s)		The Sierpinski Carpet -iteration 5-
54-65 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
55-65 reference(s)		The complement of the Menger Sponge -iteration 5-
56-65 reference(s)
A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-'children's corner' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
57-65 reference(s)		Untitled 0305
58-64 reference(s)		The Menger Sponge -iteration 4-
59-64 reference(s)		Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold that can also be viewed as a set of 4x3 stereograms
60-64 reference(s)
The Jeener-Klein triple bottle
61-64 reference(s)		An hexagonal tiling of the hyperbolic Poincaré disk -iteration 5- -a Tribute to Piet Mondrian and Henri Poincaré-
62-63 reference(s)		The K-smooth integers on a generalized Ulam spiral
63-63 reference(s)		The intersection of the Menger Sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation-
64-63 reference(s)
The DNA of Mathematics -the 60 first digits of 'pi' and '1/pi'-
65-63 reference(s)		The CMAP logo
66-63 reference(s)		Anaglyph -blue=right, red=left- of an hypercube
67-62 reference(s)		Rotation about the Y (vertical)axis of the CMAP logo that can also be viewed as a set of 4x3 stereograms
68-62 reference(s)
An aperiodic Penrose tiling of the Golden Decagon -a Tribute to Piet Mondrian and Roger Penrose-
69-61 reference(s)		A tridimensional field
70-61 reference(s)		A tridimensional field
71-61 reference(s)		Untitled 0320
72-61 reference(s)
Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
73-61 reference(s)		A Peano 'fractal plane' defined by means of three bidimensional fields
74-61 reference(s)		An extended Menger Sponge -iteration 1-
75-61 reference(s)		Isle of the Dead -a Tribute to Arnold Böcklin-
76-61 reference(s)
IMAGE ET ORDINATEUR, PHOTO-REVUE, 05/1976, cover
77-61 reference(s)		Rotation around the Hiroko Kitaoka model of the human pulmonary acinus
78-61 reference(s)		Untitled 0335
79-60 reference(s)		Untitled 0331
80-60 reference(s)
A tridimensional intertwining
81-60 reference(s)		A tridimensional field made of a random tridimensional binary tree
82-60 reference(s)		Untitled 0319
83-60 reference(s)		Untitled 0314
84-60 reference(s)
The generalized Ulam spiral displaying 100 numbers
85-60 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
86-60 reference(s)		From Pluto to the Sun (non linear scales)
87-60 reference(s)		The erosion of an amazing cross-section inside the Menger Sponge -iteration 5- with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
88-60 reference(s)
The erosion of an amazing cross-section inside the Menger Sponge -iteration 5-
89-60 reference(s)		The erosion of the Menger Sponge -iteration 3-
90-60 reference(s)		An extended Menger Sponge -iteration 5-
91-60 reference(s)		A parallelepipedic extended Menger Sponge -iteration 4-
92-60 reference(s)
An extended Menger Sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
93-60 reference(s)		An amazing generalized cross-section inside the Menger Sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
94-60 reference(s)		Larsen effect
95-60 reference(s)		The quaternionic Julia set -degree=2- computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section-
96-60 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
97-60 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
98-60 reference(s)		Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
99-60 reference(s)		The first four iterations of the construction of the von Koch snowflake
100-59 reference(s)
A tridimensional intertwining inside a sphere
101-59 reference(s)		The erosion of an amazing cross-section inside the Menger Sponge -iteration 1-
102-59 reference(s)		An extended Menger Sponge -iteration 5-
103-59 reference(s)		An extended Menger Sponge -iteration 5-
104-59 reference(s)
An extended Menger Sponge -iteration 2-
105-59 reference(s)		A parallelepipedic extended Menger Sponge -iteration 2-
106-59 reference(s)		A spherical cross-section inside the Menger Sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
107-59 reference(s)		The Cantor Triadic Set -iterations 0 to 5-
108-59 reference(s)
A cylinder -a bidimensional manifold-
109-59 reference(s)		The Bonan-Jeener double bottle
110-59 reference(s)		A tridimensional field
111-58 reference(s)		A tridimensional field
112-58 reference(s)
A tridimensional field
113-58 reference(s)		A tridimensional intertwining inside a torus
114-58 reference(s)		The erosion of the Menger Sponge -iteration 2-
115-58 reference(s)		A half-random extended Menger Sponge -iteration 4-
116-58 reference(s)
An extended Menger Sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
117-58 reference(s)		Anaglyphic glasses
118-58 reference(s)		Fractal Self-Portrait -a Tribute to René Magritte-
119-58 reference(s)		Three hexagons and the twenty-eight first strictly positive integer numbers -nine of them being prime numbers-
120-58 reference(s)
A cylinder -a bidimensional manifold-
121-58 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
122-58 reference(s)		An aperiodic Penrose tiling of the plane -a Tribute to Piet Mondrian and Roger Penrose-
123-57 reference(s)		A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
124-57 reference(s)
A tridimensional intertwining inside the Jeener triton
125-57 reference(s)		Untitled 0312
126-57 reference(s)		A tridimensional pseudo-random walk -cartesian coordinates- defined by means of the 99.999 first decimals of the square root of 2 (414213...)-base 10- with 33.333 time steps
127-57 reference(s)		The special Liouville function displayed as a bidimensional random walk for the integer numbers from 2 to 100001
128-57 reference(s)




2-The 128 most referenced Pages (*):

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



1-AVirtualSpaceTimeTravelMachine.Ang
1772 reference(s)		2-Vcatalogue.11
1165 reference(s)
3-xiirf_____.nota.t.
503 reference(s)		4-xiirv_____.nota.t.
264 reference(s)
5-An2000.01.Fra
246 reference(s)		6-Web_Mail.01.vv
230 reference(s)
7-Galerie_PALETTES_A
202 reference(s)		8-An2000.01.Ang
200 reference(s)
9-xiirc_____.nota.t.
194 reference(s)		10-Pcatalogue.11
193 reference(s)
11-Galerie_NumberTheory.FV
170 reference(s)		12-xiirs_____.nota.t.
168 reference(s)
13-Stereogrammes_AutoStereogrammes.01
150 reference(s)		14-ExpV_VirE.Fra
140 reference(s)
15-Galerie_DeterministicFractalGeometry.FV
119 reference(s)		16-ChatGPT.01.Fra
109 reference(s)
17-Galerie_GeneralitiesVisualization.FV
108 reference(s)		18-demo_14
98 reference(s)
19-Fractal.11
97 reference(s)		20-Fractal.01
94 reference(s)
21-xiac_____.nota.t.
85 reference(s)		22-Galerie_ParticleSystems.FV
85 reference(s)
23-Galerie_PALETTES_C
80 reference(s)		24-present.01.
77 reference(s)
25-fractal.01
73 reference(s)		26-Fractal.21
72 reference(s)
27-FloatingPointNumbers.01.Fra
69 reference(s)		28-UlamSpiral.01.Fra
68 reference(s)
29-GenieLogiciel.01.Ang
68 reference(s)		30-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
67 reference(s)
31-NombresPremiers_10000.vv
66 reference(s)		32-NDimensionalDeterministicFractalSets.01.Fra
66 reference(s)
33-An2000.02.Fra
66 reference(s)		34-avirtualspacetimetravelmachine.ang
65 reference(s)
35-MonodimensionalCellularAutomata.01.Ang
63 reference(s)		36-Galerie_CelestialMechanics.FV
62 reference(s)
37-help.
61 reference(s)		38-catalogue.11
60 reference(s)
39-GenieLogiciel.01.Fra
60 reference(s)		40-EntrelacsIntertwinings.01.Fra
60 reference(s)
41-LOG_xiMc.11
59 reference(s)		42-Galerie_ImagesDesMathematiques.FV
59 reference(s)
43-subject.01.
58 reference(s)		44-Galerie_ArtisticCreation.FV
55 reference(s)
45-Galerie_DeterministicChaos.FV
54 reference(s)		46-mail.01.vv
53 reference(s)
47-Galerie_NewPictures.FV
53 reference(s)		48-Galerie_ArtAndScience.FV
53 reference(s)
49-stereogrammes_autostereogrammes.01
52 reference(s)		50-EntrelacsIntertwinings.01.Ang
52 reference(s)
51-xiak_____.nota.t.
51 reference(s)		52-MonodimensionalCellularAutomata.01.Fra
51 reference(s)
53-IAGenerativesImages.01.Fra
51 reference(s)		54-DecimalesPi_1_100.vv
51 reference(s)
55-AProposSite.01.Fra
51 reference(s)		56-create.03.
50 reference(s)
57-copyright.01.
50 reference(s)		58-Galerie_Pi.FV
50 reference(s)
59-Fractal.03
50 reference(s)		60-LeCinquantenaireDuCMAP.01.vv.Fra
47 reference(s)
61-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
47 reference(s)		62-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
47 reference(s)
63-ulamspiral.01.fra
46 reference(s)		64-Polynomials_RationalNumbers.01.Fra
46 reference(s)
65-NDimensionalDeterministicFractalSets.01.Ang
46 reference(s)		66-Informations_AboutPicturesAnimationsAndFiles.01.Ang
46 reference(s)
67-xias_____.nota.t.
45 reference(s)		68-SurfaceProjector.01.Ang
43 reference(s)
69-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
43 reference(s)		70-MorePages.Ang.
43 reference(s)
71-Galerie_NewPictures.DIAPO.0001
43 reference(s)		72-Galerie_SelfPortraits.FV
42 reference(s)
73-NombresEtLumiere.01.vv.Fra
41 reference(s)		74-AVirtualSpaceTimeTravelMachine.Fra
41 reference(s)
75-xiirk_____.nota.t.
40 reference(s)		76-MathematiquesPhysiqueFractales.22
40 reference(s)
77-Galerie_ArtisticCreation.DIAPO.0150
40 reference(s)		78-xiia_____.nota.t.
39 reference(s)
79-MathematiquesPhysiqueFractales.12
39 reference(s)		80-MathematiquesPhysiqueFractales.02
39 reference(s)
81-LeParadoxeDeFermi.01.Fra
39 reference(s)		82-Kepler.02.
39 reference(s)
83-EnsembleDesGaleriesFractales.DIAPO.0001
39 reference(s)		84-ChatGPT.01.Ang
39 reference(s)
85-Exposition_EcolePolytechnique_CentenaireNaissanceBenoitMandelbrot_202410_202411_202412
38 reference(s)		86-EnsembleDesGaleries.DIAPO.0001
38 reference(s)
87-RealNumbers.01.Fra
37 reference(s)		88-Informations_GoodNewsAndBadNews.01.Fra
37 reference(s)
89-Galerie_QuantumMechanics.FV
37 reference(s)		90-Galerie_ImagesDidactiques.FV
37 reference(s)
91-Commentaires_DefinitionOctonions.01
37 reference(s)		92-UlamSpiral.01.Ang
36 reference(s)
93-NatureDesMathematiques.01.vv.Fra
36 reference(s)		94-DieuScience.01.Fra
36 reference(s)
95-MiseEnSceneDesNombres.01.vv.Ang
35 reference(s)		96-MesExpositionsPassees.01
35 reference(s)
97-LeNoeudInfini.01.Fra
35 reference(s)		98-Exposition_EcolePolytechnique_FeteDeLaScience_201910
35 reference(s)
99-RasoirDOccamEtMathematiques.01.vv.Fra
34 reference(s)		100-DecimalesDePi.01.Fra
34 reference(s)
101-Commentaires_DefinitionPseudoQuaternions.01
34 reference(s)		102-Bard.01.Fra
34 reference(s)
103-xDarchivesG__SMC__sources__procedures_____GEN_PROCESSEUR
33 reference(s)		104-Galerie_SensitivityToRoundingOffErrors.FV
33 reference(s)
105-Commentaires_EnsembleMandelbrotOctonion.01
33 reference(s)		106-Autostereograms.01.
33 reference(s)
107-relai_universel.01.vv
32 reference(s)		108-RemarquesCerveau.01
32 reference(s)
109-OrdinateurMathematiquesArt.01.Fra
32 reference(s)		110-LesCourbesRemplissantes.02.Ang
32 reference(s)
111-Informations_GoodNewsAndBadNews.01.Ang
32 reference(s)		112-Informations_AboutPicturesAnimationsAndFiles.01.Fra
32 reference(s)
113-ImagesEncadreesDisponibles.01
32 reference(s)		114-Galerie_NumberTheory.DIAPO.0179
32 reference(s)
115-Galerie_NewPictures.DIAPO.0040
32 reference(s)		116-FloatingPointNumbers.01.Ang
32 reference(s)
117-Commentaires_NKleinBottle.01
32 reference(s)		118-fractal.21
31 reference(s)
119-OrdinateursEtCalculs.01.Fra
31 reference(s)		120-Multivers.01.Fra
31 reference(s)
121-MathematiquesEtRepresentations.01.vv.Ang
31 reference(s)		122-ImpossibleStructures.01.Fra
31 reference(s)
123-Exposition_OperaDeMassy_201912_202001
31 reference(s)		124-Bard.01.Ang
31 reference(s)
125-Ariane501.01.Fra
31 reference(s)		126-AnimFractal.01.
31 reference(s)
127-xiaf_____.nota.t.
30 reference(s)		128-T_ScienceEtVirtuel.01_ProblemesNombresFlottants.01.0001
30 reference(s)

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Copyright © Jean-François COLONNA, -2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, -2024.