Monthly Best Of on 06/28/2021




Random intertwining

Jean-François COLONNA
[Contact me]

www.lactamme.polytechnique.fr

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

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[The Y2K Bug [Le bug de l'an 2000]]
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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 06/28/2021 and last updated on 10/03/2024 17:04:18 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
1-53 reference(s)		Artistic view of the prime numbers
2-48 reference(s)		The bidimensional John Conway's life game
3-47 reference(s)		The Universe at the heart of a Calabi-Yau manifold
4-44 reference(s)
The random walk of photons escaping the Sun
5-44 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
6-43 reference(s)		Untitled 0004
7-43 reference(s)		Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
8-41 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
9-39 reference(s)		The 64 first lines of the Pascal's Triangle -modulo 2-
10-38 reference(s)		The Möbius strip
11-38 reference(s)		Autostereogram with an hidden volcano
12-37 reference(s)
The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- with partial confinement -201 particles-, with a zero death rate and a 100% infection, starting with just one infected person -red particle on bottom left picture-
13-37 reference(s)		The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- without confinement -300 particles-, with a zero death rate and with a 100% infection, starting with just one infected person -red particle on bottom left picture-
14-37 reference(s)		A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
15-37 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
16-37 reference(s)
Bidimensional geometrical texture animation
17-36 reference(s)		The 'exponential' spreading of a tridimensional epidemic -the COVID-19 coronavirus?- without confinement -1430 particles-, with a zero death rate and with a 100% infection, starting with just one infected person -red particle on bottom left picture-
18-36 reference(s)		The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- with partial confinement -201 particles-, with a zero death rate and a 50% infection, starting with just one infected person -red particle on bottom left picture-
19-36 reference(s)		The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- without confinement -300 particles-, with a zero death rate and with a 50% infection, starting with just one infected person -red particle on bottom left picture-
20-36 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
21-36 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
22-36 reference(s)		Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
23-36 reference(s)		Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
24-36 reference(s)
Tridimensional texture animation by means of the Generalized Product
25-36 reference(s)		Bidimensional texture animation by means of the Generalized Product
26-36 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-
27-36 reference(s)		From Mars to the Sun
28-36 reference(s)
Tridimensional zoom in on the Mandelbrot set
29-36 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
30-36 reference(s)		The front of a forest fire -white- obtained by means of a bidimensional random walk process (bird's-eye view, zoom in on the first steps)
31-36 reference(s)		Fractal diffusion front in a bidimensional medium obtained by means of a random walk process (zoom in on the first steps)
32-36 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
33-35 reference(s)		Black dots on a square lattice
34-33 reference(s)		The random walk of photons escaping the Sun
35-32 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
36-31 reference(s)
The random walk of photons escaping the Sun
37-27 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
38-27 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
39-27 reference(s)		Quantum vacuum fluctuations
40-26 reference(s)
Autostereogram with an hidden volcano
41-26 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
42-26 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
43-23 reference(s)		The first four iterations of the construction of the von Koch snowflake
44-22 reference(s)
Autostereogram with an hidden volcano
45-22 reference(s)		4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
46-22 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
47-22 reference(s)		Fractal natural form
48-21 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
49-21 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
50-21 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
51-20 reference(s)		Autostereogram with an hidden ring and ghost bows
52-20 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
53-20 reference(s)		The Sierpinski Carpet -iteration 1 to 5-
54-19 reference(s)		Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
55-19 reference(s)		Pseudo Olympic Rings
56-19 reference(s)
An aperiodic Penrose tiling of the plane
57-18 reference(s)		A tridimensional distorted cubic mesh defined by means of three tridimensional fields
58-18 reference(s)		Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
59-18 reference(s)		Ducks and friends
60-18 reference(s)
Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
61-17 reference(s)		Inside the Télémécanique T1600 computer -rear view of one of the fixed head disk drive-
62-17 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
63-17 reference(s)		A strange and noisy picture with a very simple luminance
64-17 reference(s)
The Lorenz attractor
65-17 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
66-17 reference(s)		Two multiplexed autostereograms by means of a pi/2 rotation
67-16 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
68-16 reference(s)
Untitled 0371 -a Tribute to Piet Mondrian-
69-16 reference(s)		Apple Blossoms -a Tribute to Piet Mondrian-
70-16 reference(s)		Happy new year 2000
71-16 reference(s)		The Bonan-Jeener-Klein triple bottle
72-16 reference(s)
The Sierpinski Carpet -iteration 5-
73-15 reference(s)		The generalized Ulam spiral
74-15 reference(s)		Autostereogram of Monument Valley
75-15 reference(s)		True colors autostereogram of a fractal landscape
76-15 reference(s)
The Menger Sponge -iteration 5-
77-15 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
78-15 reference(s)		Happy new year 2000
79-15 reference(s)		A fractal vegetal structure
80-14 reference(s)
Apple Blossoms -a Tribute to Piet Mondrian-
81-14 reference(s)		4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
82-14 reference(s)		Quark and gluon structure of the nucleon
83-14 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)
84-14 reference(s)
A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
85-14 reference(s)		A strange and noisy self-portrait with a very simple luminance
86-14 reference(s)		Untitled 0374
87-14 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
88-14 reference(s)
Artistic view of the Big Bang
89-13 reference(s)		Along the border of the Mandelbrot set
90-13 reference(s)		Autostereogram with an hidden volcano
91-13 reference(s)		A tridimensional cubic mesh with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
92-13 reference(s)
The generalized Ulam spiral displaying 100 numbers
93-13 reference(s)		Apple Blossoms -a Tribute to Piet Mondrian-
94-13 reference(s)		Snowy multifractal mountains
95-13 reference(s)		N-body problem integration (N=10)displaying the actual Solar System
96-13 reference(s)
Random quadrangulation of the volume of a sphere -18x18x18-
97-13 reference(s)		Tridimensional Hilbert Curve -iteration 3-
98-13 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
99-13 reference(s)		The Jeener-Klein triple bottle
100-13 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
101-12 reference(s)		An aperiodic Penrose tiling of the plane
102-12 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
103-12 reference(s)		Untitled 0057
104-12 reference(s)
An Archimedes spiral displaying 100000 numbers
105-12 reference(s)		Sixteen pseudo-random fields -'drand48(...)' like- with an increasing density of points
106-12 reference(s)		A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -100.000 digits, -base 10- into 050330... -128.508 digits, base 6-
107-12 reference(s)		Untitled 0375
108-12 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
109-12 reference(s)		Anaglyph -blue=right, red=left- of a tridimensional filamentous fractal structure
110-12 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
111-12 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
112-12 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
113-12 reference(s)		An aperiodic Penrose tiling of the plane
114-11 reference(s)		The Boy surface
115-11 reference(s)		Artistic view of the quaternionic fractal set obtained when computing the roots of Q^3=1 using Newton's method with translation along the third axis of the quaternionic space -tridimensional cross-section-
116-11 reference(s)
Apple Blossoms -a Tribute to Piet Mondrian-
117-11 reference(s)		Botticelli anomaly on the Moon
118-11 reference(s)		An extended Menger Sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
119-11 reference(s)		A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
120-11 reference(s)
Hypercube
121-11 reference(s)		The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
122-11 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
123-11 reference(s)		Isle of the Dead -a Tribute to Arnold Böcklin-
124-11 reference(s)
A distorded -for the sake of display- 5-cube -an hyperhypercube-
125-11 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
126-11 reference(s)		A monodimensional 'quasi-continuous' cellular automaton
127-11 reference(s)		The first two iterations of the construction of the Minkowski curve
128-10 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
1069 reference(s)		2-AVirtualSpaceTimeTravelMachine.Ang
417 reference(s)
3-An2000.01.Fra
335 reference(s)		4-help.
257 reference(s)
5-Galerie_NumberTheory.FV
247 reference(s)		6-mail.01.vv
235 reference(s)
7-Vcatalogue.11
226 reference(s)		8-FloatingPointNumbers.01.Ang
205 reference(s)
9-RealNumbers.01.Fra
193 reference(s)		10-Fractal.01
192 reference(s)
11-Stereogrammes_AutoStereogrammes.01
189 reference(s)		12-Fractal.21
189 reference(s)
13-MathematiquesPhysiqueFractales.02
185 reference(s)		14-AVirtualSpaceTimeTravelMachine.Fra
181 reference(s)
15-Galerie_ArtisticCreation.FV
178 reference(s)		16-SurfaceProjector.01.Fra
175 reference(s)
17-FloatingPointNumbers.01.Fra
169 reference(s)		18-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
166 reference(s)
19-Galerie_GeneralitiesVisualization.FV
165 reference(s)		20-Galerie_ArtAndScience.FV
163 reference(s)
21-demo
161 reference(s)		22-demo.14
160 reference(s)
23-nombresreels
156 reference(s)		24-logiciel
156 reference(s)
25-genielogiciel
156 reference(s)		26-an2000
156 reference(s)
27-EntrelacsIntertwinings.01.Fra
156 reference(s)		28-demo14
155 reference(s)
29-OrdinateursEtCalculs.01.Ang
155 reference(s)		30-GenieLogiciel_VisualisationScientifique.01.vv
155 reference(s)
31-realnumbers
154 reference(s)		32-GenieLogiciel.01.Fra
152 reference(s)
33-EntrelacsIntertwinings.01.Ang
152 reference(s)		34-copyright.01.
150 reference(s)
35-MathematiquesPhysiqueFractales.02.27
150 reference(s)		36-Informations_GoodNewsAndBadNews.01.Fra
150 reference(s)
37-GoldenTriangle.01.Fra
149 reference(s)		38-Galerie_NewPictures.FV
149 reference(s)
39-LOG_xiMc.11
145 reference(s)		40-AProposSite.01.Fra
145 reference(s)
41-UlamSpiral.01.Fra
141 reference(s)		42-Informations_GoodNewsAndBadNews.01.Ang
141 reference(s)
43-SurfaceProjector.01.Ang
138 reference(s)		44-NDimensionalDeterministicFractalSets.01.Fra
138 reference(s)
45-Galerie_ParticleSystems.FV
137 reference(s)		46-Fractal.11
137 reference(s)
47-BEST.20170928
135 reference(s)		48-AnimFractal.01.
134 reference(s)
49-Galerie_DeterministicFractalGeometry.FV
133 reference(s)		50-Web_Mail.01.vv
132 reference(s)
51-ImpossibleStructures.01.Fra
132 reference(s)		52-BEST.20140828
132 reference(s)
53-FaireDeLaRecherche.01.vv
131 reference(s)		54-NDimensionalDeterministicFractalSets.01.Ang
130 reference(s)
55-catalogue.11
128 reference(s)		56-MathematiquesPhysiqueFractales.12
128 reference(s)
57-Galerie_SignalProcessing.FV
128 reference(s)		58-Kepler.02.
127 reference(s)
59-Informations_AboutPicturesAnimationsAndFiles.01.Ang
127 reference(s)		60-Commentaires_EnsembleJuliaOctonion.01
127 reference(s)
61-Galerie_ImagesDesMathematiques.FV
126 reference(s)		62-ExpV_VirE.11
125 reference(s)
63-infinity.01.vv
124 reference(s)		64-ImpossibleStructures.01.Ang
124 reference(s)
65-Galerie_QuantumMechanics.FV
124 reference(s)		66-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
124 reference(s)
67-MonodimensionalCellularAutomata.01.Ang
123 reference(s)		68-Galerie_NewPictures
123 reference(s)
69-MonodimensionalCellularAutomata.01.Fra
122 reference(s)		70-NatureDesMathematiques.01.vv.Fra
121 reference(s)
71-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
121 reference(s)		72-DieuScience.01.Fra
121 reference(s)
73-VirtualChaos.01.Fra
120 reference(s)		74-ImagesDuVirtuel.01.Fra
120 reference(s)
75-Galerie_Tributes.FV
120 reference(s)		76-LesApprentisDieux.01
118 reference(s)
77-Galerie_BestOf.FV
118 reference(s)		78-Fractal.03
118 reference(s)
79-Autostereograms.01.
118 reference(s)		80-MOSA.LYAP.33.10000.20031207
117 reference(s)
81-HommageBenoitMandelbrot.21
117 reference(s)		82-Galerie_SalonDAutomne.FV
117 reference(s)
83-Galerie_ParticleSystems
117 reference(s)		84-Galerie_CelestialMechanics.FV
117 reference(s)
85-present.01.
116 reference(s)		86-ManyChaos.01.Ang
116 reference(s)
87-IllusionConnaissance.02
116 reference(s)		88-Exposition_EcolePolytechnique_FeteDeLaScience_201910
115 reference(s)
89-ExpV_VirE.Ang
115 reference(s)		90-BEST.20130428
115 reference(s)
91-subject.01.
114 reference(s)		92-PatrimoineHumanite.02.Fra
114 reference(s)
93-OrdinateursEtCalculs.01.Fra
114 reference(s)		94-Galerie_GeneralitiesVisualization.DIAPO.0103
114 reference(s)
95-Galerie_DeterministicChaos.FV
114 reference(s)		96-PerteDeLAssociativite.01
113 reference(s)
97-Pcatalogue.11
113 reference(s)		98-Galerie_ArtisticCreation
113 reference(s)
99-Commentaires_DefinitionPseudoQuaternions.01
112 reference(s)		100-BEST.20151028
112 reference(s)
101-BEST.20141028
112 reference(s)		102-BEST.20171028
111 reference(s)
103-BEST.20170528
111 reference(s)		104-Galerie_ImagesDidactiques.FV
110 reference(s)
105-BEST.20170128
110 reference(s)		106-BEST.20160728
110 reference(s)
107-BEST.20160228
110 reference(s)		108-BEST.20160128
110 reference(s)
109-BEST.20140628
110 reference(s)		110-UlamSpiral.01.Ang
109 reference(s)
111-SourceExemple_____xrq_____hydrogene.61.K.
109 reference(s)		112-GoldenTriangle.01.Ang
109 reference(s)
113-Commentaires_DefinitionQuaternions.01
109 reference(s)		114-Commentaires_DefinitionPseudoOctonions.01
109 reference(s)
115-BEST.20141228
109 reference(s)		116-BEST.20140128
109 reference(s)
117-NombresEtLumiere.01.vv.Fra
108 reference(s)		118-MorePages.
108 reference(s)
119-MathematiquesPhysiqueFractales.22
108 reference(s)		120-Galerie_TextureSynthesis.FV
108 reference(s)
121-Commentaires_DefinitionComplexes.01
108 reference(s)		122-BEST.20140728
108 reference(s)
123-BEST.20130628
108 reference(s)		124-BEST.20071128
108 reference(s)
125-VirtualChaos.01.Ang
107 reference(s)		126-RemarquesCerveau.01
107 reference(s)
127-PerteDeLAssociativite.01.ADD3
107 reference(s)		128-ImagesDuVirtuel.01.Fra.FV
107 reference(s)

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




Copyright © Jean-François COLONNA, 2021-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2021-2024.