Monthly Best Of on 03/28/2024




An elementary monodimensional binary cellular automaton -86- with random 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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(CMAP28 WWW site: this page was created on 03/28/2024 and last updated on 10/03/2024 17:04:51 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The eroded Menger Sponge -iteration 3-
1-585 reference(s)		The first four iterations of the construction of the von Koch snowflake
2-107 reference(s)		Autostereogram with an hidden volcano
3-104 reference(s)		Tridimensional display of an Archimedes spiral displaying 'pi' with 50 digits -base 10-
4-99 reference(s)
display of 'pi' with 1.000 digits -base 10- on an helix -good point of view-
5-89 reference(s)		Artistic view of the prime numbers
6-88 reference(s)		display of 'pi' with 100 digits {3.141592...} on an helix -grey-
7-84 reference(s)		A distorded -for the sake of display- 5-cube -an hyperhypercube-
8-83 reference(s)
Autostereogram with an hidden volcano
9-81 reference(s)		The generalized Ulam spiral
10-78 reference(s)		Tridimensional display of an Archimedes spiral displaying 'pi' with 1.000 digits -base 10-
11-75 reference(s)		The random walk of photons escaping the Sun
12-71 reference(s)
Tridimensional display of an Archimedes spiral displaying 'pi' with 100 digits -base 10-
13-69 reference(s)		A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -100.000 digits, -base 10- into 305033... -128.509 digits, -base 6-
14-68 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
15-65 reference(s)		The Goldbach conjecture
16-65 reference(s)
The Sierpinski Carpet -iteration 1 to 5-
17-60 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
18-60 reference(s)		Hypercube
19-59 reference(s)		A 4-cube -an hypercube-
20-59 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
21-58 reference(s)		Fractal Self-Portrait -a Tribute to René Magritte-
22-58 reference(s)		Generation of the 63x63 first Conway's surreal complex numbers
23-56 reference(s)		24 evenly distributed points on a sphere by means of simulated annealing
24-56 reference(s)
Tridimensional display of an Archimedes spiral displaying 'pi' with 1.000 digits -base 10-
25-56 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
26-56 reference(s)		The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
27-56 reference(s)		Quark and gluon structure of a nucleon
28-55 reference(s)
From Pluto to the Sun (non linear scales)
29-52 reference(s)		Autostereogram of the CMAP
30-51 reference(s)		Tridimensional display -bird's-eye view- of a spiral displaying 'pi' with 2.000 digits -base 10-
31-51 reference(s)		Artistic views of the 100.000 first digits -base 10- of 'pi'
32-51 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
33-50 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
34-48 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
35-47 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
36-47 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
37-46 reference(s)		The Lorenz attractor
38-46 reference(s)		Happy new year 2000
39-46 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
40-45 reference(s)
The level-1 cluster made of 9 'Spectre' tiles including a 'Mystic' (red and dark grey lines)with display of all the key-points making quadrilaterals (8 blue small and a magenta big one)
41-45 reference(s)		Tridimensional display of a spiral displaying 'pi' with 2.000 digits -base 10-
42-45 reference(s)		Tridimensional display of the 'EinStein' aperiodic 'Spectre' tiling
43-44 reference(s)		Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
44-44 reference(s)
Tridimensional localization of a point P its distances to the four vertices of a tetrahedron ABCD being known
45-44 reference(s)		The first four iterations of the construction of the von Koch snowflake
46-43 reference(s)		The Universe at the heart of a Calabi-Yau manifold
47-43 reference(s)		The 'Mystic' made of two 'EinStein' aperiodic 'Spectre' tiles
48-43 reference(s)
Tridimensional display of an Archimedes spiral displaying 'pi' with 50 digits -base 10-
49-43 reference(s)		Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
50-43 reference(s)		2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
51-42 reference(s)		A fractal vegetal structure
52-41 reference(s)
The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
53-41 reference(s)		A regular 8-gon -an octogon-
54-41 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-
55-41 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
56-41 reference(s)
A close-up of the 'EinStein' aperiodic 'Spectre' tiling
57-40 reference(s)		Tridimensional display -bird's-eye view- of an Archimedes spiral displaying 'pi' with 50 digits -base 10-
58-40 reference(s)		An Archimedes spiral displaying 'pi' with 50 digits -base 10-
59-40 reference(s)		A tridimensional pseudo-random walk defined by means of 'pi': 141592... -2.001 digits, -base 10- into 200303... -3.321 digits, -base 4-
60-40 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
61-40 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-
62-40 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
63-39 reference(s)		Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
64-39 reference(s)
The 64 first lines of the Pascal's Triangle
65-39 reference(s)		An aperiodic Penrose tiling of the plane -a Tribute to Piet Mondrian and Roger Penrose-
66-39 reference(s)		The construction process of the Sierpinski Carpet
67-39 reference(s)		The same bidimensional scalar field displayed with 4 different color palettes
68-39 reference(s)
A full-random extended Menger Sponge -iteration 5-
69-39 reference(s)		The alternative use of two elementary monodimensional binary cellular automata -168,165- with 1 white starting point -bottom middle-
70-39 reference(s)		The 64 first lines of the Pascal's Triangle
71-38 reference(s)		An aperiodic Penrose tiling of the plane
72-38 reference(s)
An amazing cross-section inside the Menger Sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
73-38 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold described by means of 5x5 Bidimensional Hilbert Curves -iteration 5-
74-38 reference(s)		Bidimensional Hilbert Curve -iteration 4-
75-38 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
76-38 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-
77-38 reference(s)		An arbitrary surface (Jeener surface 2)
78-37 reference(s)		The Menger Sponge -iteration 5-
79-37 reference(s)		Simple random triangulation of the surface of a torus -18x18-
80-37 reference(s)
A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
81-37 reference(s)		Tridimensional visualization of the Verhulst dynamics with a Q^2conformal transformation in the pseudo-quaternionic space
82-37 reference(s)		A set of 4x3 stereograms of a fractal Möbius strip
83-37 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
84-37 reference(s)
The Bonan-Jeener-Klein triple bottle
85-37 reference(s)		Pseudo Olympic Rings
86-36 reference(s)		An amazing cross-section inside the Menger Sponge -iteration 5-
87-36 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
88-36 reference(s)
Fractal Self-Portrait -'Décalcomanie', a Tribute to René Magritte-
89-36 reference(s)		Exhibition at La Cité des Sciences et de l'Industrie -2000-
90-36 reference(s)		LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
91-36 reference(s)		Along the border of the Mandelbrot set
92-35 reference(s)
A 'crumpled' close-up of the 'EinStein' aperiodic 'Spectre' tiling
93-35 reference(s)		The generalized Ulam spiral displaying 100 numbers
94-35 reference(s)		Artistic view of the 100.000 first digits -base 10- of 'pi'
95-35 reference(s)		Rotation about the X axis of the 32 vertices of a 5-cube
96-35 reference(s)
Larsen effect
97-35 reference(s)		Two intricated random labyrinths -the wide one and the narrow one-
98-35 reference(s)		Happy new year 2000
99-35 reference(s)		Anaglyph -blue=right, red=left- of an hypercube
100-35 reference(s)
Anaglyph -blue=right, red=left- of a tridimensional fractal structure
101-35 reference(s)		The definition of a monodimensional 'quasi-continuous' cellular automata
102-35 reference(s)		Autostereogram with an hidden volcano
103-34 reference(s)		The random walk of photons escaping the Sun
104-34 reference(s)
Rotation about X and Y axes of the Boy surface
105-34 reference(s)		Three hexagons and the twenty-eight first strictly positive integer numbers -nine of them being prime numbers-
106-34 reference(s)		Bidimensional localization of a point P its distances to the three vertices of a triangle ABC being known, the four points being coplanar
107-34 reference(s)		Anaglyph -blue=right, red=left- of a tridimensional fractal cross -iteration 4-
108-34 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
109-34 reference(s)		The Bonan-Jeener double bottle
110-34 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
111-34 reference(s)		A periodical structure
112-33 reference(s)
Autostereogram with an hidden ring and ghost bows
113-33 reference(s)		8 evenly distributed points on a sphere by means of simulated annealing
114-33 reference(s)		Bidimensional cross-sections of the Klein bottle
115-33 reference(s)		Tridimensional artistic view of 'pi'
116-33 reference(s)
Monument Valley at sunrise
117-33 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-
118-33 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-'children's corner' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
119-33 reference(s)		From the infinitely small to the infinitely big
120-33 reference(s)
The Piet Mondrian quadridimensional Calabi-Yau manifold -2D, 3D or 4D?-
121-33 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
122-33 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
123-33 reference(s)		Bidimensional brownian motion
124-33 reference(s)
An elementary monodimensional binary cellular automaton -86- with 1 white starting point -bottom middle-
125-33 reference(s)		Artistic view of the Big Bang
126-32 reference(s)		Bidimensional rectangular billiard with 64 isotropic particles and without collisions
127-32 reference(s)		The Simpson paradox
128-32 reference(s)




2-The 128 most referenced Pages (*):

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



1-AVirtualSpaceTimeTravelMachine.Ang
1622 reference(s)		2-Web_Mail.01.vv
127 reference(s)
3-demo_14
124 reference(s)		4-BEST.20070728
105 reference(s)
5-Stereogrammes_AutoStereogrammes.01
92 reference(s)		6-IAGenerativesImages.01.Fra
88 reference(s)
7-catalogue.11
74 reference(s)		8-LOG_xiMc.11
63 reference(s)
9-Vcatalogue.11
62 reference(s)		10-mail.01.vv
61 reference(s)
11-An2000.01.Fra
60 reference(s)		12-NombresEtLumiere.01.vv.Fra
59 reference(s)
13-AVirtualSpaceTimeTravelMachine.Fra
57 reference(s)		14-AProposSite.01.Fra
56 reference(s)
15-help.
55 reference(s)		16-Pcatalogue.11
54 reference(s)
17-ChatGPT.01.Fra
53 reference(s)		18-EntrelacsIntertwinings.01.Fra
51 reference(s)
19-Informations_GoodNewsAndBadNews.01.Fra
48 reference(s)		20-Informations_AboutPicturesAnimationsAndFiles.01.Ang
48 reference(s)
21-MonodimensionalCellularAutomata.01.Fra
43 reference(s)		22-subject.01.
41 reference(s)
23-copyright.01.
41 reference(s)		24-UlamSpiral.01.Fra
41 reference(s)
25-Polynomials_RationalNumbers.01.Fra
39 reference(s)		26-IAGenerativesImages.01.Ang
39 reference(s)
27-Fractal.11
39 reference(s)		28-MathematiquesPhysiqueFractales.12
38 reference(s)
29-GoldenTriangle.01.Ang
38 reference(s)		30-DecimalesPi_1_100.vv
38 reference(s)
31-NatureDesMathematiques.01.vv.Fra
37 reference(s)		32-Fractal.01
37 reference(s)
33-FloatingPointNumbers.01.Fra
37 reference(s)		34-NombresPremiers_10000.vv
36 reference(s)
35-Le_Chat.01.Fra
36 reference(s)		36-Kepler.02.
36 reference(s)
37-GoldenTriangle.01.Fra
36 reference(s)		38-Galerie_NumberTheory.FV
35 reference(s)
39-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
35 reference(s)		40-IllusionConnaissance.02
34 reference(s)
41-Galerie_GeneralitiesVisualization.FV
34 reference(s)		42-Galerie_BestOf.FV
34 reference(s)
43-Galerie_ArtisticCreation.FV
34 reference(s)		44-LesCourbesRemplissantes.02.Fra
33 reference(s)
45-Le_Chat.01.Ang
33 reference(s)		46-ExpV_VirE.11
33 reference(s)
47-DecimalesPi_100000.vv
33 reference(s)		48-Bard.01.Fra
33 reference(s)
49-relai_universel.01.vv
32 reference(s)		50-UlamSpiral.01.Ang
32 reference(s)
51-OrdinateursEtCalculs.01.Fra
32 reference(s)		52-Fractal.21
32 reference(s)
53-FloatingPointNumbers.01.Ang
32 reference(s)		54-DecimalesDePi.01.Fra
32 reference(s)
55-Informations_GoodNewsAndBadNews.01.Ang
31 reference(s)		56-Galerie_ArtAndScience.FV
31 reference(s)
57-GenieLogiciel.01.Fra
30 reference(s)		58-PatrimoineHumanite.02.Fra
29 reference(s)
59-Multivers.01.Fra
29 reference(s)		60-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
28 reference(s)
61-LeParadoxeDeFermi.01.Ang
28 reference(s)		62-ImpossibleStructures.01.Fra
28 reference(s)
63-Fractal.03
28 reference(s)		64-Autostereograms.01.
28 reference(s)
65-infinity.01.vv
27 reference(s)		66-MathematiquesPhysiqueFractales.02
27 reference(s)
67-Galerie_ParticleSystems.FV
27 reference(s)		68-ExpV_VirE.Ang
27 reference(s)
69-DuModeleALImage.02.Fra
27 reference(s)		70-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
27 reference(s)
71-Galerie_Tributes.FV
26 reference(s)		72-Galerie_CelestialMechanics.DIAPO.0021
26 reference(s)
73-EnsembleDesGaleriesFractales.DIAPO.0178
26 reference(s)		74-Commentaires_SpiraleJeenerBottle.01
26 reference(s)
75-AvantPropos.01.Fra
26 reference(s)		76-An2000.06.Fra
26 reference(s)
77-xiirv_____.nota.t.
25 reference(s)		78-SurfaceProjector.01.Fra
25 reference(s)
79-RealNumbers.01.Fra
25 reference(s)		80-PerteDeLAssociativite.01
25 reference(s)
81-MesExpositionsPassees.01
25 reference(s)		82-ImagesDuVirtuel.01.Fra
25 reference(s)
83-Galerie_ImagesDidactiques.FV
25 reference(s)		84-EnsembleDesGaleries.DIAPO.0001
25 reference(s)
85-DieuScience.01.Fra
25 reference(s)		86-xDarchivesG__CMS5__sources__CMS5_____SIS_CMS5_2
24 reference(s)
87-infinity.02.vv
24 reference(s)		88-ImagesDuVirtuel.01.Fra.FV
24 reference(s)
89-Galerie_ImagesDesMathematiques.FV
24 reference(s)		90-Galerie_FluidMechanics.FV
24 reference(s)
91-Galerie_DeterministicFractalGeometry.FV
24 reference(s)		92-EnsembleDesGaleries.DIAPO.0978
24 reference(s)
93-ChatGPT.01.Ang
24 reference(s)		94-fractal.01
23 reference(s)
95-NDimensionalDeterministicFractalSets.01.Fra
23 reference(s)		96-LeParadoxeDeFermi.01.Fra
23 reference(s)
97-Galerie_NewPictures.FV
23 reference(s)		98-Galerie_Astrophysics.FV
23 reference(s)
99-Galerie_Astrophysics.DIAPO.0001
23 reference(s)		100-ExpositionsDiverses.01.Fra
23 reference(s)
101-Exposition_MairieCinquiemeArrondissementParis_202001_202002
23 reference(s)		102-create.03.
22 reference(s)
103-VirtualChaos.01.Fra
22 reference(s)		104-SourceExemple_____xrq_____hydrogene.61.K.
22 reference(s)
105-OrdinateurMathematiquesArt.01.Fra
22 reference(s)		106-MathematiquesPhysiqueFractales.22
22 reference(s)
107-LeNoeudInfini.01.Fra
22 reference(s)		108-Informations_AboutPicturesAnimationsAndFiles.01.Fra
22 reference(s)
109-Galerie_CelestialMechanics.FV
22 reference(s)		110-EnsembleDesGaleries.DIAPO.0954
22 reference(s)
111-Commentaires_DefinitionPseudoQuaternions.01
22 reference(s)		112-AnimFractal.01.
22 reference(s)
113-AQuoiServentLesMathematiques.01
22 reference(s)		114-VAcatalogue.11
21 reference(s)
115-SurfaceProjector.01.Ang
21 reference(s)		116-RasoirDOccamEtMathematiques.01.vv.Ang
21 reference(s)
117-PerteDeLAssociativite.01.VerhulstCalculs
21 reference(s)		118-MonodimensionalCellularAutomata.01.Ang
21 reference(s)
119-MathematiquesEtRepresentations.01.vv.Ang
21 reference(s)		120-LesApprentisDieux.01
21 reference(s)
121-Galerie_Pi.FV
21 reference(s)		122-Fractal.02
21 reference(s)
123-FaireDesMathematiques.01.Fra
21 reference(s)		124-Commentaires_NKleinBottle.01
21 reference(s)
125-Commentaires_EspaceLyapunovComplexe.01
21 reference(s)		126-An2000.04.Fra
21 reference(s)
127-xiirv_____.PIPO.21.2..u.
20 reference(s)		128-xci_____fourier.01.K.
20 reference(s)

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




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