Monthly Best Of on 07/28/2024




An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-

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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[Please, visit A Virtual Machine for Exploring Space-Time and Beyond, the place where you can find more than 10.000 pictures and animations between Art and Science]
(CMAP28 WWW site: this page was created on 07/28/2024 and last updated on 09/13/2024 12:38:05 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The eroded Menger Sponge -iteration 3-
1-329 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
2-126 reference(s)		Autostereogram with an hidden volcano
3-119 reference(s)		An extended Menger Sponge -iteration 5- displaying the 1.168.749 first digits -base 2- of 'pi'
4-111 reference(s)
The generalized Ulam spiral
5-105 reference(s)		The Universe at the heart of a Calabi-Yau manifold
6-102 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
7-97 reference(s)		The random walk of photons escaping the Sun
8-93 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
9-89 reference(s)		A distorded -for the sake of display- 5-cube -an hyperhypercube-
10-88 reference(s)		The first four iterations of the construction of the von Koch snowflake
11-84 reference(s)		Artistic view of the prime numbers
12-84 reference(s)
Autostereogram with an hidden volcano
13-81 reference(s)		Happy birthday
14-80 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
15-79 reference(s)		On the Road to Chaos again -07/07/2024-
16-79 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
17-78 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
18-78 reference(s)		Tridimensional visualization of the ABC conjecture
19-78 reference(s)		On the Road to Chaos again -07/07/2024-
20-76 reference(s)
The Goldbach conjecture
21-75 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
22-75 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
23-75 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
24-74 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
25-73 reference(s)		An aperiodic Penrose tiling of the plane -a Tribute to Piet Mondrian and Roger Penrose-
26-72 reference(s)		An octogonal tiling of the hyperbolic Poincaré disk -iteration 5-
27-72 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one marsian year -Earth point of view and zoom on the four first planets-
28-72 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
29-70 reference(s)		Bidimensional brownian motion -the colors used (magenta,red,yellow,green,cyan)are an increasing function of the time- and its 'external border' -white-
30-70 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
31-69 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
32-68 reference(s)
A fractal Möbius strip
33-68 reference(s)		The 64 first lines of the Pascal's Triangle
34-66 reference(s)		Autostereogram of the CMAP
35-66 reference(s)		The Lorenz attractor
36-66 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
37-65 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
38-65 reference(s)		Pseudo Olympic Rings
39-65 reference(s)		The 5x5=25 patches of the tridimensional representation of a quadridimensional Calabi-Yau manifold
40-65 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
41-65 reference(s)		A pay slip
42-63 reference(s)		The Klein bottle defined by means of three bidimensional fields
43-63 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
44-63 reference(s)
A set of 4x3 stereograms displaying a tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -90.000 digits, -base 10- with 30.000 time steps
45-62 reference(s)		Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
46-61 reference(s)		Recursive 5-star
47-61 reference(s)		An interpolation between the Möbius strip and a 'double sphere' defined by means of three sets of bidimensional fields
48-60 reference(s)
The generalized Ulam spiral displaying 1024 numbers
49-60 reference(s)		Cantor's diagonal argument
50-60 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold described by means of 5x5 Bidimensional Hilbert Curves -iteration 5-
51-59 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
52-59 reference(s)
The ABC conjecture
53-59 reference(s)		The God Chessboard or the 64 first 'decimals' -base 2- of 'pi' -the first 'decimal' is the bottom left black square-
54-58 reference(s)		Quantum vacuum fluctuation dynamics
55-57 reference(s)		Artistic view of the Big Bang
56-57 reference(s)
An aperiodic Penrose tiling of the plane
57-57 reference(s)		The 500 first digits of 'pi' displayed as an Impossible Structure
58-57 reference(s)		Black dots on a square lattice
59-57 reference(s)		The Continuum Hypothesis (CH)
60-57 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
61-57 reference(s)		N-body problem integration (N=10)displaying the actual Solar System
62-56 reference(s)		24 evenly distributed points on a sphere by means of simulated annealing
63-55 reference(s)		Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
64-55 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
65-55 reference(s)		The evolution of the Klein bottle using the Lorenz attractor
66-55 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
67-55 reference(s)		Along the border of the Mandelbrot set
68-54 reference(s)
Autostereogram with an hidden ring and ghost bows
69-54 reference(s)		A regular 7-gon -an heptagon-
70-54 reference(s)		A random tiling of a square domain using dominoes (1x2 rectangles)-line after line-
71-54 reference(s)		Botticelli anomaly on the Moon
72-53 reference(s)
Untitled 0137 -'Jour de Lenteur', a Tribute to Yves Tanguy-
73-53 reference(s)		From 'geocentrism' to 'heliocentrism'
74-53 reference(s)		The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
75-53 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
76-52 reference(s)
An extended Menger Sponge -iteration 4- displaying the 53.919 first digits -base 2- of 'pi'
77-52 reference(s)		The bidimensional John Conway's life game
78-52 reference(s)		Hypercube
79-52 reference(s)		From the infinitely small to the infinitely big
80-52 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
81-51 reference(s)		Mountains at sunrise
82-51 reference(s)		Quark and gluon structure of a nucleon
83-51 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)
84-51 reference(s)
An extended Menger Sponge -iteration 1- displaying the 27 first digits -base 2- of 'pi'
85-51 reference(s)		An extended Menger Sponge -iteration 3- displaying the 5.508 first digits -base 2- of 'pi'
86-51 reference(s)		Tridimensional localization of a point P its distances to the four vertices of a tetrahedron ABCD being known
87-51 reference(s)		A fractal torus
88-51 reference(s)
The abelian -commutative- group defined on elliptic curves
89-51 reference(s)		The Jeener-Klein triple bottle
90-51 reference(s)		The double reflection -green- of a small regular tetrahedron -center red-
91-50 reference(s)		Larsen effect
92-50 reference(s)
Quadruple impossible staircase built by means of a paradoxal structure -a Tribute to Maurits Cornelis Escher-
93-50 reference(s)		The 64 first lines of the Pascal's Triangle -modulo 7-
94-49 reference(s)		Dissonance chaude/Dissonance froide -a Tribute to Paul Sérusier-
95-49 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
96-49 reference(s)
An extended Menger Sponge -iteration 2- displaying the 378 first digits -base 2- of 'pi'
97-49 reference(s)		An extended Menger Sponge -iteration 2- displaying the 378 first digits -base 2- of 'pi'
98-49 reference(s)		Larsen effect
99-49 reference(s)		The DNA of Mathematics -the 60 first digits of 'pi' and 'e'-
100-49 reference(s)
Tridimensional representation of our familiar tridimensional space
101-49 reference(s)		Rotation about the Y (vertical)axis of the CMAP logo that can also be viewed as a set of 4x3 stereograms
102-49 reference(s)		The Piet Mondrian quadridimensional Calabi-Yau manifold -2D, 3D or 4D?-
103-49 reference(s)		The construction process of an aperiodic Penrose tiling -3 random subdivision iterations-
104-48 reference(s)
An aperiodic Penrose tiling of the Golden Decagon -a Tribute to Piet Mondrian and Roger Penrose-
105-48 reference(s)		Bidimensional cross-sections of the Klein bottle
106-48 reference(s)		An extended Menger Sponge -iteration 4- displaying the 53.919 first digits -base 2- of 'pi'
107-48 reference(s)		A one sheet hyperboloid of revolution -negative curvature-
108-48 reference(s)
A Part of the DNA double helix -a Tribute to Francis Crick, Rosalind Franklin and James Watson-
109-48 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
110-48 reference(s)		Bidimensional brownian motion
111-48 reference(s)		An aperiodic Penrose tiling of the plane
112-47 reference(s)
Autostereogram with an hidden ring and ghost bows
113-47 reference(s)		An hexagonal tiling of the hyperbolic Poincaré disk -iteration 5-
114-47 reference(s)		A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) -tridimensional cross-section-
115-47 reference(s)		The scale invariance of the bidimensional Ising Model after 20000 iterations on a 5000x5000 lattice, with 2-state spins, random initial conditions and for a temperature equal to the critical temperature
116-47 reference(s)
Tridimenional display of the Goldbach conjecture
117-47 reference(s)		The Ptolemaic system -without equant- with a small light grey circle -the epicycle- whose center describes a larger dark grey circle -the deferend- centered on the Earth -blue sphere-
118-47 reference(s)		The genesis of the 'EinStein' aperiodic 'Spectre' tile -top right-
119-46 reference(s)		Tridimensional display of a spiral displaying 'pi' with 4.000 digits -base 10-
120-46 reference(s)
The 32 vertices of a 5-cube
121-46 reference(s)		Simple random triangulation of the surface of a torus -18x18-
122-46 reference(s)		Larsen effect
123-46 reference(s)		Jean-François COLONNA
124-46 reference(s)
The DNA of Mathematics -the 480 first digits of 'pi' and '1/pi'-
125-46 reference(s)		The CMAP logo
126-46 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
127-46 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
128-46 reference(s)




2-The 128 most referenced Pages (*):

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



1-AVirtualSpaceTimeTravelMachine.Ang
2577 reference(s)		2-Web_Mail.01.vv
179 reference(s)
3-ChatGPT.01.Fra
144 reference(s)		4-IAGenerativesImages.01.Fra
117 reference(s)
5-demo_14
106 reference(s)		6-An2000.01.Fra
99 reference(s)
7-Stereogrammes_AutoStereogrammes.01
97 reference(s)		8-Galerie_Pi.FV
84 reference(s)
9-help.
82 reference(s)		10-mail.01.vv
80 reference(s)
11-MorePages.Ang.
77 reference(s)		12-copyright.01.
75 reference(s)
13-Fractal.01
72 reference(s)		14-Polynomials_RationalNumbers.01.Fra
71 reference(s)
15-Le_Chat.01.Fra
68 reference(s)		16-Vcatalogue.11
67 reference(s)
17-LOG_xiMc.11
67 reference(s)		18-Galerie_NumberTheory.FV
67 reference(s)
19-Informations_AboutPicturesAnimationsAndFiles.01.Ang
63 reference(s)		20-UlamSpiral.01.Fra
62 reference(s)
21-Galerie_ArtisticCreation.FV
61 reference(s)		22-FloatingPointNumbers.01.Fra
60 reference(s)
23-NombresPremiers_10000.vv
59 reference(s)		24-DecimalesPi_1_100.vv
59 reference(s)
25-Bard.01.Fra
58 reference(s)		26-Fractal.21
57 reference(s)
27-Fractal.03
56 reference(s)		28-AProposSite.01.Fra
55 reference(s)
29-catalogue.11
54 reference(s)		30-fractal.01
53 reference(s)
31-VCcatalogue.11
53 reference(s)		32-Fractal.11
53 reference(s)
33-NombresEtLumiere.01.vv.Fra
51 reference(s)		34-MathematiquesPhysiqueFractales.22
51 reference(s)
35-xDarchivesG__CMS5__sources__CMS5_____SIS_CMS5_13
50 reference(s)		36-MathematiquesPhysiqueFractales.02
50 reference(s)
37-Informations_GoodNewsAndBadNews.01.Fra
50 reference(s)		38-Galerie_DeterministicFractalGeometry.FV
50 reference(s)
39-PerteDeLAssociativite.01
49 reference(s)		40-PatrimoineHumanite.02.Fra
48 reference(s)
41-Multivers.01.Fra
48 reference(s)		42-MathematiquesPhysiqueFractales.12
48 reference(s)
43-LesCourbesRemplissantes.02.Fra
48 reference(s)		44-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
48 reference(s)
45-Galerie_NewPictures.FV
48 reference(s)		46-Galerie_GeneralitiesVisualization.FV
47 reference(s)
47-Galerie_ArtAndScience.FV
47 reference(s)		48-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
47 reference(s)
49-MonodimensionalCellularAutomata.01.Fra
46 reference(s)		50-LeParadoxeDeFermi.01.Ang
46 reference(s)
51-ImagesEncadreesDisponibles.01
46 reference(s)		52-ImagesDuVirtuel.01.Fra.FV
45 reference(s)
53-GoldenTriangle.01.Ang
45 reference(s)		54-Galerie_SensitivityToRoundingOffErrors
45 reference(s)
55-Pcatalogue.11
44 reference(s)		56-Autostereograms.01.
44 reference(s)
57-Informations_GoodNewsAndBadNews.01.Ang
43 reference(s)		58-FloatingPointNumbers.01.Ang
43 reference(s)
59-Galerie_CelestialMechanics.FV
42 reference(s)		60-MesExpositionsPassees.01
41 reference(s)
61-IAGenerativesImages.01.Ang
41 reference(s)		62-GenieLogiciel.01.Fra
41 reference(s)
63-Galerie_ParticleSystems.FV
41 reference(s)		64-EntrelacsIntertwinings.01.Fra
41 reference(s)
65-DecimalesPi_100000.vv
41 reference(s)		66-DecimalesDePi.01.Fra
41 reference(s)
67-Galerie_DeterministicChaos.FV
40 reference(s)		68-Fractal.02
40 reference(s)
69-SourceExemple_____xrq_____hydrogene.61.K.
37 reference(s)		70-Kepler.02.
37 reference(s)
71-ImpossibleStructures.01.Fra
37 reference(s)		72-Galerie_QuantumMechanics.FV
37 reference(s)
73-VAcatalogue.11
36 reference(s)		74-UlamSpiral.01.Ang
36 reference(s)
75-RemarquesCerveau.01
36 reference(s)		76-RasoirDOccamEtMathematiques.01.vv.Ang
36 reference(s)
77-LesCourbesRemplissantes.01.Fra
36 reference(s)		78-LeNoeudInfini.01.Ang
36 reference(s)
79-Galerie_SelfPortraits.FV
36 reference(s)		80-Galerie_SalonDAutomne.FV
36 reference(s)
81-Galerie_QuantumMechanics.DIAPO.0006
36 reference(s)		82-Galerie_NumbersAndLight.FV
36 reference(s)
83-Galerie_NewPictures.DIAPO.0040
36 reference(s)		84-Galerie_BestOf.FV
36 reference(s)
85-DieuScience.01.Ang
36 reference(s)		86-Bard.01.Ang
36 reference(s)
87-relai_universel.01.vv
35 reference(s)		88-SurfaceProjector.01.Ang
35 reference(s)
89-RealNumbers.01.Fra
35 reference(s)		90-MonodimensionalCellularAutomata.01.Ang
35 reference(s)
91-LesApprentisDieux.01
35 reference(s)		92-ExpV_VirE.11
35 reference(s)
93-Commentaires_SpiraleJeenerBottle.01
35 reference(s)		94-xiirv_____.nota.t.
34 reference(s)
95-subject.01.
34 reference(s)		96-create.03.
34 reference(s)
97-MathematiquesEtRepresentations.01.vv.Ang
34 reference(s)		98-ManyChaos.01.Fra
34 reference(s)
99-GenieLogiciel_VisualisationScientifique.01.vv
34 reference(s)		100-Galerie_ImagesDesMathematiques.FV
34 reference(s)
101-Exposition_OperaDeMassy_201912_202001
34 reference(s)		102-EntrelacsIntertwinings.01.Ang
34 reference(s)
103-AQuoiServentLesMathematiques.01
34 reference(s)		104-xDarchivesG__CMS5__sources__CMS5_____SIS_CMS5_2
33 reference(s)
105-xDarchivesG__CMS5__sources__CMS5_____SIS_CMS5_1
33 reference(s)		106-SurfaceProjector.01.Fra
33 reference(s)
107-QuelquesQuestionsSurLaRecherche.01.Fra
33 reference(s)		108-NDimensionalDeterministicFractalSets.01.Fra
33 reference(s)
109-LesCourbesRemplissantes.02.Ang
33 reference(s)		110-LesCourbesRemplissantes.01.Ang
33 reference(s)
111-LeNoeudInfini.01.Fra
33 reference(s)		112-Galerie_SignalProcessing.FV
33 reference(s)
113-Galerie_SensitivityToRoundingOffErrors.FV
33 reference(s)		114-Galerie_CelestialMechanics.DIAPO.0001
33 reference(s)
115-Galerie_ArtisticCreation.DIAPO.0043
33 reference(s)		116-Galerie_ArtisticCreation.DIAPO.0009
33 reference(s)
117-Galerie_AnthropomorphicPatterns.FV
33 reference(s)		118-FaireDesMathematiques.01.Fra
33 reference(s)
119-FaireConnaitre_FaireAimer_les_Mathematiques_en_2022.01.vv.Fra
33 reference(s)		120-Exposition_MairieCinquiemeArrondissementParis_202001_202002
33 reference(s)
121-Exposition_EcolePolytechnique_AnneeMondialeDeLaPhysique_2005
33 reference(s)		122-ConjectureDeSyracuse_0256.vv
33 reference(s)
123-Commentaires_TritonDeJeener.01
33 reference(s)		124-xiirs_____.nota.t.
32 reference(s)
125-VirtualChaos.01.Fra
32 reference(s)		126-Polynomials_RationalNumbers.01.Ang
32 reference(s)
127-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
32 reference(s)		128-Galerie_ImagesDidactiques.FV
32 reference(s)

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