Monthly Best Of on 10/28/2020




Untitled 0072

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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[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 10/28/2020 and last updated on 10/03/2024 17:04:07 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



A blue Sponge-tree -a Tribute to Yves Klein-
1-71 reference(s)		The random walk of photons escaping the Sun
2-63 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
3-60 reference(s)		The random walk of photons escaping the Sun
4-57 reference(s)
The random walk of photons escaping the Sun
5-57 reference(s)		Artistic view of the prime numbers
6-53 reference(s)		Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
7-49 reference(s)		Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
8-48 reference(s)
The Möbius strip
9-48 reference(s)		The bidimensional John Conway's life game
10-48 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
11-47 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
12-46 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-
13-46 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-
14-46 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-
15-45 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-
16-45 reference(s)
From Mars to the Sun
17-45 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-
18-44 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
19-44 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
20-43 reference(s)
Tridimensional texture animation by means of the Generalized Product
21-43 reference(s)		Tridimensional zoom in on the Mandelbrot set
22-43 reference(s)		Bidimensional geometrical texture animation
23-42 reference(s)		Bidimensional texture animation by means of the Generalized Product
24-42 reference(s)
The Ulam spiral
25-42 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
26-42 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
27-42 reference(s)		Happy new year 2000
28-42 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
29-41 reference(s)		Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
30-41 reference(s)		The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
31-41 reference(s)		The Bonan-Jeener-Klein triple bottle
32-41 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
33-40 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-
34-40 reference(s)		A 4-cube -an hypercube-
35-38 reference(s)		The Universe at the heart of a Calabi-Yau manifold
36-37 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
37-37 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
38-35 reference(s)		Autostereogram with an hidden volcano
39-35 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
40-32 reference(s)
Quantum vacuum fluctuations
41-30 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
42-30 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
43-30 reference(s)		An aperiodic Penrose tiling of the plane
44-29 reference(s)
A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
45-29 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
46-29 reference(s)		The Jeener-Klein triple bottle
47-28 reference(s)		4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
48-27 reference(s)
An aperiodic Penrose tiling of the plane
49-26 reference(s)		An aperiodic Penrose tiling of the plane
50-25 reference(s)		Autostereogram of the CMAP
51-25 reference(s)		Autostereogram with an hidden volcano
52-24 reference(s)
The generalized Ulam spiral
53-24 reference(s)		The first four iterations of the construction of the von Koch snowflake
54-23 reference(s)		Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
55-23 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
56-23 reference(s)
The quaternionic Julia set -degree=2- computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section-
57-23 reference(s)		Fractal natural form
58-22 reference(s)		Pseudo Olympic Rings
59-22 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
60-22 reference(s)
An aperiodic Penrose tiling of the Golden Decagon
61-21 reference(s)		Sixteen interlaced fractal torus
62-20 reference(s)		The Jeener-Klein triple bottle
63-20 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
64-19 reference(s)
Untitled 0343
65-19 reference(s)		Autostereogram with an hidden volcano
66-19 reference(s)		The generalized Ulam spiral displaying 100 numbers
67-19 reference(s)		IMAGE_INEXISTANTE=DOSSIER__ART_ET_SCIENCE__1971_1991__COUVERTURE
68-19 reference(s)
The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
69-18 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
70-18 reference(s)		LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
71-18 reference(s)		Quantum vacuum fluctuations
72-17 reference(s)
An aperiodic Penrose tiling of the plane
73-17 reference(s)		An aperiodic Penrose tiling of the plane
74-17 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
75-17 reference(s)		The Sierpinski Carpet -iteration 1 to 5-
76-17 reference(s)
The double reflection -green- of a small regular tetrahedron -center red-
77-17 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
78-17 reference(s)		Botticelli anomaly on the Moon
79-17 reference(s)		Quark and gluon structure of a nucleon
80-17 reference(s)
Rotation about the X axis of the Lorenz attractor
81-17 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
82-17 reference(s)		Artistic view of the Big Bang
83-16 reference(s)		16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
84-16 reference(s)
The generalized Ulam spiral displaying 1024 numbers
85-16 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
86-16 reference(s)		N-body problem integration (N=2)displaying a perfect Keplerian orbit (an ellipse)
87-16 reference(s)		The Lorenz attractor
88-16 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
89-16 reference(s)		The foggy Earth 'anti-planet'
90-16 reference(s)		A truncated quadrimensional Calabi-Yau manifold with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
91-16 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
92-16 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
93-16 reference(s)		Synthesis of bidimensional geometrical textures
94-15 reference(s)		Two multiplexed autostereograms by means of a pi/2 rotation
95-15 reference(s)		Autostereogram with an hidden ring and ghost bows
96-15 reference(s)
The construction process of the Sierpinski Carpet
97-15 reference(s)		Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
98-15 reference(s)		The same bidimensional scalar field displayed with 4 different color palettes
99-15 reference(s)		A bidimensional fractal field
100-15 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)
101-15 reference(s)		From Pluto to the Sun (non linear scales)
102-15 reference(s)		The Möbius strip
103-15 reference(s)		An arbitrary surface (Jeener surface 2)in motion
104-15 reference(s)
A spherical cross-section inside the Menger Sponge -iteration 5-
105-15 reference(s)		Bidimensional zoom in on the Mandelbrot set
106-15 reference(s)		A 'hyperbolic' Horner surface 1 of the second degree
107-15 reference(s)		Tridimensional filamentous fractal structure
108-15 reference(s)
From the infinitely small to the infinitely big
109-15 reference(s)		An aperiodic Penrose tiling of the plane -a Tribute to Piet Mondrian and Roger Penrose-
110-14 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
111-14 reference(s)		A tridimensional intertwining inside the Bonan-Jeener-Klein triple bottle
112-14 reference(s)
Autostereogram with an hidden volcano
113-14 reference(s)		The Scream -a Tribute to Edvard Munch-
114-14 reference(s)		Real gravel -256x256 after RLE1+BWT+RLE2-
115-14 reference(s)		Quark and gluon structure of a nucleon
116-14 reference(s)
From 'geocentrism' to 'heliocentrism'
117-14 reference(s)		An arbitrary surface (Jeener surface 2)in motion
118-14 reference(s)		Tridimensional visualization of the Verhulst dynamics
119-14 reference(s)		The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
120-14 reference(s)
The Lorenz attractor
121-14 reference(s)		Untitled 0346 -a Tribute to Vassily Kandinsky-
122-14 reference(s)		IMAGE_INEXISTANTE=DOSSIER__ART_ET_SCIENCE__1971_1991__PAGE_01
123-14 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
124-14 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
125-14 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
126-14 reference(s)		The evolution of the Klein bottle using the Lorenz attractor
127-14 reference(s)		Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
128-14 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
514 reference(s)		2-AVirtualSpaceTimeTravelMachine.Ang
405 reference(s)
3-Vcatalogue.11
313 reference(s)		4-An2000.01.Fra
304 reference(s)
5-Galerie_NumberTheory.FV
272 reference(s)		6-Fractal.01
234 reference(s)
7-Galerie_GeneralitiesVisualization.FV
207 reference(s)		8-help.
205 reference(s)
9-RealNumbers.01.Fra
205 reference(s)		10-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
193 reference(s)
11-Galerie_ArtisticCreation.FV
193 reference(s)		12-GoldenTriangle.01.Fra
181 reference(s)
13-AProposSite.01.Fra
178 reference(s)		14-UlamSpiral.01.Fra
169 reference(s)
15-SurfaceProjector.01.Ang
169 reference(s)		16-Galerie_ParticleSystems.FV
169 reference(s)
17-FloatingPointNumbers.01.Fra
169 reference(s)		18-nombresreels
165 reference(s)
19-logiciel
165 reference(s)		20-genielogiciel
165 reference(s)
21-realnumbers
164 reference(s)		22-demo.14
164 reference(s)
23-an2000
164 reference(s)		24-demo
163 reference(s)
25-demo14
162 reference(s)		26-LOG_xiMc.11
159 reference(s)
27-mail.01.vv
158 reference(s)		28-subject.01.
156 reference(s)
29-Stereogrammes_AutoStereogrammes.01
156 reference(s)		30-GenieLogiciel_VisualisationScientifique.01.vv
156 reference(s)
31-Galerie_NewPictures.FV
156 reference(s)		32-Galerie_DeterministicFractalGeometry.FV
155 reference(s)
33-Galerie_ArtAndScience.FV
151 reference(s)		34-MorePages.
146 reference(s)
35-Galerie_CelestialMechanics.FV
146 reference(s)		36-copyright.01.
143 reference(s)
37-Galerie_ImagesDesMathematiques.FV
142 reference(s)		38-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
141 reference(s)
39-Fractal.11
139 reference(s)		40-Galerie_BestOf.FV
138 reference(s)
41-AVirtualSpaceTimeTravelMachine.Fra
138 reference(s)		42-OrdinateursEtCalculs.01.Ang
136 reference(s)
43-Kepler.02.
136 reference(s)		44-Informations_AboutPicturesAnimationsAndFiles.01.Ang
135 reference(s)
45-Galerie_SensitivityToRoundingOffErrors.FV
135 reference(s)		46-Galerie_QuantumMechanics.FV
135 reference(s)
47-ExpV_VirE.11
134 reference(s)		48-Commentaires_NKleinBottle.01
134 reference(s)
49-Galerie_TextureSynthesis.FV
133 reference(s)		50-Galerie_ImagesDidactiques.FV
132 reference(s)
51-MonodimensionalCellularAutomata.01.Fra
131 reference(s)		52-Galerie_Astrophysics.FV
131 reference(s)
53-Fractal.21
131 reference(s)		54-FloatingPointNumbers.01.Ang
129 reference(s)
55-PerteDeLAssociativite.01
128 reference(s)		56-MathematiquesPhysiqueFractales.02
128 reference(s)
57-Galerie_SignalProcessing.FV
128 reference(s)		58-NDimensionalDeterministicFractalSets.01.Ang
127 reference(s)
59-Informations_GoodNewsAndBadNews.01.Ang
127 reference(s)		60-DieuScience.01.Fra
127 reference(s)
61-AnimFractal.01.
127 reference(s)		62-infinity.01.vv
126 reference(s)
63-NatureDesMathematiques.01.vv.Fra
126 reference(s)		64-GenieLogiciel.01.Fra
126 reference(s)
65-Galerie_FluidMechanics.FV
126 reference(s)		66-Informations_GoodNewsAndBadNews.01.Fra
125 reference(s)
67-EntrelacsIntertwinings.01.Ang
125 reference(s)		68-catalogue.11
124 reference(s)
69-SurfaceProjector.01.Fra
124 reference(s)		70-MathematiquesPhysiqueFractales.12
124 reference(s)
71-Galerie_Tributes.FV
124 reference(s)		72-Exposition_EcolePolytechnique_FeteDeLaScience_201910
124 reference(s)
73-AQuoiServentLesMathematiques.01
124 reference(s)		74-MathematiquesPhysiqueFractales.22
123 reference(s)
75-DecimalesPi_1_100.vv
123 reference(s)		76-DecimalesDePi.01.Fra
123 reference(s)
77-BEST.20140828
123 reference(s)		78-create.03.
122 reference(s)
79-GoldenTriangle.01.Ang
122 reference(s)		80-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
122 reference(s)
81-BEST.20140628
122 reference(s)		82-Galerie_DeterministicChaos.FV
121 reference(s)
83-BEST.20150928
121 reference(s)		84-Multivers.01.Fra
120 reference(s)
85-ImagesDuVirtuel.01.Fra.FV
120 reference(s)		86-Galerie_NumbersAndLight.FV
120 reference(s)
87-BEST.20140728
120 reference(s)		88-present.01.
119 reference(s)
89-ManyChaos.01.Ang
119 reference(s)		90-FaireDeLaRecherche.01.vv
119 reference(s)
91-BEST.20141228
119 reference(s)		92-BEST.20130628
119 reference(s)
93-BEST.20170828
118 reference(s)		94-BEST.20160228
118 reference(s)
95-BEST.20140128
118 reference(s)		96-NDimensionalDeterministicFractalSets.01.Fra
117 reference(s)
97-ImpossibleStructures.01.Ang
117 reference(s)		98-Exposition_EcolePolytechnique_AnneeMondialeDeLaPhysique_2005
117 reference(s)
99-BEST.20170228
117 reference(s)		100-BEST.20150828
117 reference(s)
101-BEST.20130428
117 reference(s)		102-DuModeleALImage.02.Fra
116 reference(s)
103-ConjectureDeSyracuse_0256.vv
116 reference(s)		104-BEST.20170928
116 reference(s)
105-BEST.20160928
116 reference(s)		106-BEST.20160728
116 reference(s)
107-BEST.20160128
116 reference(s)		108-BEST.20151028
116 reference(s)
109-RasoirDOccamEtMathematiques.01.vv.Fra
115 reference(s)		110-Pcatalogue.11
115 reference(s)
111-MonodimensionalCellularAutomata.01.Ang
115 reference(s)		112-BEST.20170528
115 reference(s)
113-BEST.20141028
115 reference(s)		114-Autostereograms.01.
115 reference(s)
115-OrdinateursEtCalculs.01.Fra
114 reference(s)		116-Informations_AboutPicturesAnimationsAndFiles.01.Fra
114 reference(s)
117-ExpV_VirE.21
114 reference(s)		118-Commentaires_DefinitionComplexes.01
114 reference(s)
119-BEST.20171028
114 reference(s)		120-BEST.20170428
114 reference(s)
121-BEST.20170128
114 reference(s)		122-BEST.20130828
114 reference(s)
123-VisitesGaleriesEnfouies.01.Fra
113 reference(s)		124-NombresEtLumiere.01.vv.Fra
113 reference(s)
125-LesApprentisDieux.01
113 reference(s)		126-Galerie_NumberTheory.DIAPO.0052
113 reference(s)
127-Fractal.03
113 reference(s)		128-Exposition_OperaDeMassy_201912_202001
113 reference(s)

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




Copyright © Jean-François COLONNA, 2020-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2020-2024.