Monthly Best Of on 08/28/2020




Bidimensional fractal aggregate obtained by means of a 50% pasting process during collisions of particles submitted to a vertical field of gravity

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 08/28/2020 and last updated on 11/14/2023 17:49:59 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



A tridimensional intertwining made of the Menger sponge -iteration 5- the Bonan-Jeener-Klein triple bottle
1-82 reference(s)		 Happy new year 2000
2-70 reference(s)		 A blue sponge-tree -a Tribute to Yves Klein-
3-62 reference(s)		 The random walk of photons escaping the Sun
4-58 reference(s)
The Jeener 'bulot' -a shell-
5-57 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
6-55 reference(s)		 The Jeener flower
7-54 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
8-54 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-
9-53 reference(s)		 The bidimensional field defining the 'Y' coordinate of a fractal 'celestial body' based on a torus
10-53 reference(s)		 Untitled 0145
11-53 reference(s)		 A 'recursive' -two iterations-' tridimensional intertwining inside a sphere
12-52 reference(s)
The bidimensional John Conway's life game
13-52 reference(s)		 The quaternionic Julia set -degree=2- computed -pseudo-addition and pseudo-multiplication in C- with A=(-0.58...,+0.63...,0,0)-tridimensional cross-section-
14-52 reference(s)		 A tridimensional structure based on a 1/O conformal transformation in the pseudo-octonionic space -tridimensional cross-section-
15-52 reference(s)		 A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
16-51 reference(s)
A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
17-49 reference(s)		 Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
18-48 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
19-48 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
20-48 reference(s)
Tridimensional zoom in on the Mandelbrot set
21-46 reference(s)		 Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
22-46 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
23-45 reference(s)		 From Mars to the Sun
24-45 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
25-44 reference(s)		 Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
26-44 reference(s)		 The Möbius strip
27-44 reference(s)		 Bidimensional geometrical texture animation
28-43 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-
29-43 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-
30-43 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
31-43 reference(s)		 A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
32-43 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
33-43 reference(s)		 K/LD Matrix -'JPEG2000_ZL.01' measures-
34-43 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
35-43 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-
36-42 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-
37-42 reference(s)		 Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
38-42 reference(s)		 Tridimensional texture animation by means of the Generalized Product
39-42 reference(s)		 Bidimensional texture animation by means of the Generalized Product
40-42 reference(s)
A tridimensional intertwining made of a tridimensional cross-section inside a pseudo-octonionic Julia set inside a sphere
41-41 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-
42-41 reference(s)		 Artistic view of the prime numbers
43-39 reference(s)		 The quaternionic Julia set -degree=2- computed with A=(-0.58...,+0.63...,0,0)-tridimensional cross-section-
44-38 reference(s)
The random walk of photons escaping the Sun
45-37 reference(s)		 6 evenly distributed points on a sphere -an Octahedron- by means of simulated annealing
46-36 reference(s)		 Anaglyph -blue=right, red=left- of a tridimensional filamentous fractal structure
47-36 reference(s)		 The Bonan-Jeener-Klein triple bottle
48-36 reference(s)
The 2-17 first digits -base 10- of 'pi' displayed on a circle
49-35 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
50-34 reference(s)		 The Jeener giant clam
51-34 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
52-32 reference(s)
Artistic view of the Möbius strip
53-32 reference(s)		 The Syracuse conjecture for U(0)={2,3,5,7,...,719} -monodimensional display-
54-31 reference(s)		 A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
55-31 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
56-31 reference(s)
A tridimensional intertwining made of a tridimensional cubic mesh inside a sphere
57-31 reference(s)		 A tridimensional intertwining inside a sphere
58-31 reference(s)		 Anaglyph -blue=right, red=left- of a fractal-fractal tree
59-31 reference(s)		 Artistic view of the Klein bottle
60-31 reference(s)
A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
61-30 reference(s)		 The bidimensional field defining the 'Z' coordinate of a fractal 'celestial body' based on a torus
62-30 reference(s)		 K/LD Matrix -'CDCM4_CDC_6.01' measures-
63-30 reference(s)		 Close-up on a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
64-30 reference(s)
Autostereogram with an hidden volcano
65-29 reference(s)		 Hodographs -with display of a few velocity vectors- of 5 of the 9 planets of the Solar System during three plutonian years
66-29 reference(s)		 Autostereogram with an hidden volcano
67-27 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
68-27 reference(s)
The first four iterations of the construction of the von Koch snowflake
69-26 reference(s)		 The random walk of photons escaping the Sun
70-26 reference(s)		 Quantum vacuum fluctuations
71-25 reference(s)		 The Jeener triton
72-25 reference(s)
The Mandelbrot set -16 iterations- -256x256 after RLE1-
73-25 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
74-25 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
75-24 reference(s)		 Quark and gluon structure of a nucleon
76-23 reference(s)
A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
77-23 reference(s)		 Tridimensional Hilbert Curve -iteration 3-
78-23 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
79-23 reference(s)		 The Universe at the heart of a Calabi-Yau manifold
80-22 reference(s)
The Menger sponge -iteration 5-
81-22 reference(s)		 The Jeener-Klein quintuple bottle
82-22 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
83-21 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
84-21 reference(s)
Fractal 'celestial body' based on a torus and a 'recursive' -two iterations-' tridimensional intertwining inside a sphere
85-20 reference(s)		 4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
86-20 reference(s)		 The 1.000 first digits -base 10- of 'pi' displayed on a circle -very bad point of view-
87-20 reference(s)		 Bidimensional cross-sections of a cylinder
88-19 reference(s)
The Jeener-Klein bottle 'epicycloidal' spiral
89-19 reference(s)		 Animation of a sunrise on mountains
90-18 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
91-18 reference(s)		 Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
92-17 reference(s)
Autostereogram of the CMAP
93-17 reference(s)		 Bidimensional cross-sections of the Klein bottle
94-17 reference(s)		 Bidimensional cross-sections of the Bonan-Jeener-Klein triple bottle
95-17 reference(s)		 The generalized Ulam spiral
96-17 reference(s)
The Jeener-Klein triple bottle
97-17 reference(s)		 The self-similarity of the von Koch curve displayed by means of a zoom in with a ratio that is equal to 3
98-16 reference(s)		 Magical forest
99-16 reference(s)		 Fractal 'celestial body' based on a torus and a tridimensional intertwining based on a sphere inside a sphere
100-16 reference(s)
The generalized Ulam spiral displaying 2025 numbers
101-16 reference(s)		 Bidimensional zoom in on the Mandelbrot set
102-16 reference(s)		 Isle of the Dead -a Tribute to Arnold Böcklin-
103-16 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 1 white starting point -bottom middle-
104-16 reference(s)
The 64 first lines of the Pascal's Triangle -modulo 2-
105-15 reference(s)		 Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
106-15 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
107-15 reference(s)		 A 4-cube -an hypercube-
108-15 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
109-15 reference(s)		 An aperiodic Penrose tiling of the plane
110-14 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
111-14 reference(s)		 The Sierpinski carpet -iteration 1 to 5-
112-14 reference(s)
Computation of the roots of Z^3=1 using Newton's method
113-14 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
114-14 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
115-14 reference(s)		 Hypercube
116-14 reference(s)
The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
117-14 reference(s)		 Tridimensional representation of our familiar tridimensional space
118-14 reference(s)		 From the infinitely small to the infinitely big
119-14 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
120-14 reference(s)
The construction process of the Sierpinski carpet
121-13 reference(s)		 Bidimensional cross-sections of the Jeener unilateral node
122-13 reference(s)		 The Ulam spiral
123-13 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)
124-13 reference(s)
Bidimensional zoom in on the Mandelbrot set
125-13 reference(s)		 The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
126-13 reference(s)		 A truncated quadrimensional Calabi-Yau manifold with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
127-13 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
128-13 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
634 reference(s)		 2-AVirtualSpaceTimeTravelMachine.Ang
499 reference(s)
3-An2000.01.Fra
460 reference(s)		 4-Galerie_NumberTheory.FV
326 reference(s)
5-Vcatalogue.11
322 reference(s)		 6-help.
299 reference(s)
7-Exposition_EcolePolytechnique_FeteDeLaScience_201910
246 reference(s)		 8-RealNumbers.01.Fra
216 reference(s)
9-Galerie_ArtisticCreation.FV
216 reference(s)		 10-Galerie_GeneralitiesVisualization.FV
215 reference(s)
11-Commentaires_NKleinBottle.01
213 reference(s)		 12-create.03.
207 reference(s)
13-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
205 reference(s)		 14-Galerie_DeterministicFractalGeometry.FV
203 reference(s)
15-an2000.01.fra
196 reference(s)		 16-Galerie_ParticleSystems.FV
186 reference(s)
17-MathematiquesPhysiqueFractales.12
184 reference(s)		 18-AVirtualSpaceTimeTravelMachine.Fra
184 reference(s)
19-Fractal.01
183 reference(s)		 20-mail.01.vv
179 reference(s)
21-FloatingPointNumbers.01.Fra
179 reference(s)		 22-logiciel
175 reference(s)
23-an2000
175 reference(s)		 24-nombresreels
174 reference(s)
25-realnumbers
173 reference(s)		 26-genielogiciel
173 reference(s)
27-demo
173 reference(s)		 28-Galerie_ArtAndScience.FV
173 reference(s)
29-demo14
172 reference(s)		 30-demo.14
172 reference(s)
31-Galerie_CelestialMechanics.FV
172 reference(s)		 32-AProposSite.01.Fra
172 reference(s)
33-GoldenTriangle.01.Fra
171 reference(s)		 34-galerie_numbertheory.fv
170 reference(s)
35-copyright.01.
170 reference(s)		 36-MorePages.
170 reference(s)
37-MathematiquesPhysiqueFractales.02
167 reference(s)		 38-Fractal.11
167 reference(s)
39-UlamSpiral.01.Fra
166 reference(s)		 40-SurfaceProjector.01.Ang
166 reference(s)
41-GenieLogiciel_VisualisationScientifique.01.vv
165 reference(s)		 42-Fractal.21
165 reference(s)
43-LOG_xiMc.11
164 reference(s)		 44-Stereogrammes_AutoStereogrammes.01
162 reference(s)
45-NDimensionalDeterministicFractalSets.01.Ang
162 reference(s)		 46-Galerie_SensitivityToRoundingOffErrors.FV
162 reference(s)
47-present.01.
161 reference(s)		 48-Galerie_QuantumMechanics.FV
159 reference(s)
49-SurfaceProjector.01.Fra
158 reference(s)		 50-NDimensionalDeterministicFractalSets.01.Fra
158 reference(s)
51-Galerie_TextureSynthesis.FV
158 reference(s)		 52-ExpV_VirE.11
158 reference(s)
53-MonodimensionalCellularAutomata.01.Fra
157 reference(s)		 54-Galerie_Astrophysics.FV
157 reference(s)
55-DieuScience.01.Fra
157 reference(s)		 56-Galerie_NewPictures.FV
155 reference(s)
57-Galerie_ImagesDesMathematiques.FV
155 reference(s)		 58-Autostereograms.01.
155 reference(s)
59-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
154 reference(s)		 60-Galerie_ImagesDidactiques.FV
153 reference(s)
61-Galerie_SignalProcessing.FV
150 reference(s)		 62-EntrelacsIntertwinings.01.Fra
150 reference(s)
63-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
150 reference(s)		 64-AnimFractal.01.
150 reference(s)
65-FloatingPointNumbers.01.Ang
149 reference(s)		 66-EntrelacsIntertwinings.01.Ang
149 reference(s)
67-Galerie_Tributes.FV
147 reference(s)		 68-Galerie_BestOf.FV
147 reference(s)
69-ImpossibleStructures.01.Ang
146 reference(s)		 70-ImagesDuVirtuel.01.Fra.FV
145 reference(s)
71-IllusionConnaissance.02
145 reference(s)		 72-Galerie_DeterministicChaos.FV
145 reference(s)
73-Informations_AboutPicturesAnimationsAndFiles.01.Ang
144 reference(s)		 74-GenieLogiciel.01.Fra
144 reference(s)
75-Commentaires_JumelleJeenerBottle.01
144 reference(s)		 76-UlamSpiral.01.Ang
143 reference(s)
77-Informations_GoodNewsAndBadNews.01.Fra
142 reference(s)		 78-DuModeleALImage.02.Fra
142 reference(s)
79-subject.01.
141 reference(s)		 80-NatureDesMathematiques.01.vv.Fra
141 reference(s)
81-infinity.01.vv
140 reference(s)		 82-FaireDeLaRecherche.01.vv
140 reference(s)
83-BEST.20171028
140 reference(s)		 84-PerteDeLAssociativite.01
139 reference(s)
85-Exposition_EcolePolytechnique_FeteDeLaScience_201810
139 reference(s)		 86-ConjectureDeSyracuse_0256.vv
139 reference(s)
87-AQuoiServentLesMathematiques.01
139 reference(s)		 88-NombresEtLumiere.01.vv.Fra
138 reference(s)
89-GoldenTriangle.01.Ang
138 reference(s)		 90-Galerie_FluidMechanics.FV
138 reference(s)
91-infinity.02.vv
137 reference(s)		 92-galerie_nondeterministicfractalgeometrynaturalphenomenonsynthesis.fv
137 reference(s)
93-RemarquesCerveau.01
136 reference(s)		 94-MathematiquesPhysiqueFractales.22
135 reference(s)
95-Kepler.02.
135 reference(s)		 96-RasoirDOccamEtMathematiques.01.vv.Fra
134 reference(s)
97-ExpV_VirE.Ang
133 reference(s)		 98-ConjectureDeSyracuse_0128.Parity.vv
133 reference(s)
99-ArtScience.01
133 reference(s)		 100-catalogue.11
132 reference(s)
101-Pcatalogue.11
132 reference(s)		 102-OrdinateursEtCalculs.01.Ang
132 reference(s)
103-Exposition_MairieCinquiemeArrondissementParis_202001_202002
132 reference(s)		 104-Informations_GoodNewsAndBadNews.01.Ang
131 reference(s)
105-ImpossibleStructures.01.Fra
131 reference(s)		 106-FaireDesMathematiques.01.Fra
131 reference(s)
107-Exposition_EcolePolytechnique_FeteDeLaScience_201510
131 reference(s)		 108-BEST.20170528
131 reference(s)
109-MonodimensionalCellularAutomata.01.Ang
130 reference(s)		 110-Galerie_NumbersAndLight.FV
130 reference(s)
111-BEST.20141228
130 reference(s)		 112-Polynomials_RationalNumbers.01.Fra
129 reference(s)
113-EnsembleDesGaleriesFractales.DIAPO.0001
129 reference(s)		 114-MathematiquesPhysiqueFractales.02.27
128 reference(s)
115-OrdinateursEtCalculs.01.Fra
127 reference(s)		 116-ImagesDuVirtuel.01.Fra
127 reference(s)
117-Exposition_EcolePolytechnique_AnneeMondialeDeLaPhysique_2005
127 reference(s)		 118-EnsembleDesGaleries.DIAPO.0001
127 reference(s)
119-DecimalesPi_1_100.vv
127 reference(s)		 120-BEST.20160228
127 reference(s)
121-BEST.20140628
127 reference(s)		 122-BEST.20130628
127 reference(s)
123-morepages.
126 reference(s)		 124-FaireConnaitre_FaireAimer_les_Mathematiques_en_2020.01.vv.Fra
126 reference(s)
125-ExpV_VirE.21
126 reference(s)		 126-BEST.20151028
126 reference(s)
127-VisualisationRelief.01.vv.Fra
125 reference(s)		 128-VirtualChaos.01.Ang
125 reference(s)

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Copyright © Jean-François COLONNA, 2020-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2020-2023.