Monthly Best Of on 04/28/2020




Tridimensional fractal structure

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 04/28/2020 and last updated on 11/14/2023 17:49:56 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
1-331 reference(s)		 The random walk of photons escaping the Sun
2-210 reference(s)		 Autostereogram of the CMAP
3-199 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
4-114 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
5-85 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-
6-82 reference(s)		 The random walk of photons escaping the Sun
7-74 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
8-69 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-
9-67 reference(s)		 The random walk of photons escaping the Sun
10-64 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-
11-62 reference(s)		 Autostereogram with an hidden volcano
12-59 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-
13-59 reference(s)		 A blue sponge-tree -a Tribute to Yves Klein-
14-59 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-
15-53 reference(s)		 Happy new year 2000
16-52 reference(s)
The bidimensional John Conway's life game
17-49 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
18-49 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
19-48 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
20-42 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-
21-42 reference(s)		 4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
22-41 reference(s)		 Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
23-41 reference(s)		 Artistic view of the prime numbers
24-40 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
25-39 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
26-39 reference(s)		 A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
27-39 reference(s)		 The Möbius strip
28-39 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
29-39 reference(s)		 Untitled 0271 -a Tribute to Vassily Kandinsky-
30-39 reference(s)		 The Bonan-Jeener-Klein triple bottle
31-39 reference(s)		 Autostereogram with an hidden volcano
32-38 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
33-38 reference(s)		 From Mars to the Sun
34-38 reference(s)		 Tridimensional zoom in on the Mandelbrot set
35-38 reference(s)		 The first four iterations of the construction of the von Koch snowflake
36-37 reference(s)
Bidimensional geometrical texture animation
37-37 reference(s)		 Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
38-37 reference(s)		 Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
39-37 reference(s)		 Tridimensional texture animation by means of the Generalized Product
40-37 reference(s)
Bidimensional texture animation by means of the Generalized Product
41-37 reference(s)		 Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
42-37 reference(s)		 The Jeener-Klein triple bottle
43-37 reference(s)		 The Jeener shell -2-
44-36 reference(s)
The Jeener opera -10-Sydney-
45-35 reference(s)		 Quantum vacuum fluctuations
46-33 reference(s)		 An aperiodic Penrose tiling of the plane
47-33 reference(s)		 Untitled 0265 -a Tribute to Vassily Kandinsky-
48-33 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
49-33 reference(s)		 Autostereogram with an hidden volcano
50-32 reference(s)		 The Menger sponge -iteration 5-
51-32 reference(s)		 Untitled 0294 -a Tribute to Victor Vasarely
52-31 reference(s)
An aperiodic Penrose tiling of the plane
53-30 reference(s)		 Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
54-29 reference(s)		 Color palette 'jaune'
55-28 reference(s)		 The Jeener-Klein bottle loop 1
56-28 reference(s)
Autostereogram with an hidden volcano
57-27 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
58-26 reference(s)		 The Simpson paradox
59-26 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
60-23 reference(s)
A 4-cube -an hypercube-
61-23 reference(s)		 Victor Vasarely meets Piet Mondrian
62-22 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
63-22 reference(s)		 Quark and gluon structure of a nucleon
64-21 reference(s)
Detail close-up of the quaternionic Julia set -degree=2- computed -pseudo-addition and pseudo-multiplication in C- with A=(-0.58...,+0.63...,0,0)and with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
65-21 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
66-20 reference(s)		 Pseudo Olympic Rings
67-20 reference(s)		 Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
68-20 reference(s)
A 'crumpled' Jeener 'bulot' -a shell-
69-20 reference(s)		 Along the border of the Mandelbrot set
70-19 reference(s)		 Untitled 0321
71-19 reference(s)		 Autostereogram with an hidden ring and ghost bows
72-19 reference(s)
The Mandelbrot set
73-19 reference(s)		 From the infinitely small to the infinitely big
74-19 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
75-19 reference(s)		 The Jeener-Klein triple bottle
76-19 reference(s)
An aperiodic Penrose tiling of the Golden Decagon
77-18 reference(s)		 The Scream -a Tribute to Edvard Munch-
78-18 reference(s)		 Sunny Monument Valley
79-18 reference(s)		 The Lorenz attractor
80-18 reference(s)
Sixteen interlaced fractal torus
81-18 reference(s)		 A shell (Jeener surface 1)in motion
82-18 reference(s)		 The Jeener waves -1-
83-17 reference(s)		 A tridimensional intertwining made of an extended Menger sponge -iteration 5- inside a sphere
84-17 reference(s)
The Sierpinski carpet -iteration 3-
85-17 reference(s)		 The Sierpinski carpet -iteration 5-
86-17 reference(s)		 The Boy surface
87-17 reference(s)		 The Boy surface
88-17 reference(s)
The generalized Ulam spiral displaying 100 numbers
89-17 reference(s)		 The generalized Ulam spiral
90-17 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
91-17 reference(s)		 Bidimensional zoom in on the Mandelbrot set
92-17 reference(s)
A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
93-17 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
94-17 reference(s)		 Black dots on a square lattice
95-17 reference(s)		 4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
96-16 reference(s)
Monument Valley at sunrise
97-16 reference(s)		 From 'geocentrism' to 'heliocentrism'
98-16 reference(s)		 From 'geocentrism' to 'heliocentrism'
99-16 reference(s)		 The Lorenz attractor
100-16 reference(s)
Jean-François COLONNA (on 11/17/1994)with its fractal mountains
101-16 reference(s)		 Tridimensional Hilbert Curve -iteration 3-
102-16 reference(s)		 Quadruple impossible staircase built by means of a paradoxal structure -a Tribute to Maurits Cornelis Escher-
103-16 reference(s)		 The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
104-16 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
105-15 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
106-15 reference(s)		 The Universe at the heart of a Calabi-Yau manifold
107-15 reference(s)		 Generation of the 63x63 first Conway's surreal complex numbers
108-15 reference(s)
A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
109-15 reference(s)		 Untitled 0320
110-15 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
111-15 reference(s)		 The Ulam spiral
112-15 reference(s)
A spherical cross-section inside the Menger sponge -iteration 5-
113-15 reference(s)		 The intersection of the Menger sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation-
114-15 reference(s)		 Bidimensional zoom in on the Mandelbrot set
115-15 reference(s)		 Isle of the Dead -a Tribute to Arnold Böcklin-
116-15 reference(s)
A fractal vegetal structure
117-14 reference(s)		 Untitled 0318
118-14 reference(s)		 Two multiplexed autostereograms by means of a pi/2 rotation
119-14 reference(s)		 2000 evenly distributed points on a sphere by means of the Fibonacci spiral
120-14 reference(s)
A pay slip
121-14 reference(s)		 Fractal natural form
122-14 reference(s)		 A dynamic 'crumpled' Klein bottle defined by means of three sets of bidimensional fields
123-14 reference(s)		 The same bidimensional scalar field displayed with 4 different color palettes
124-14 reference(s)
The Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
125-14 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
126-14 reference(s)		 Bidimensional Hilbert Curve -iteration 4-
127-14 reference(s)		 A fractal Klein bottle
128-14 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
659 reference(s)		 2-AVirtualSpaceTimeTravelMachine.Ang
609 reference(s)
3-ImagesDuVirtuel.01.Fra
332 reference(s)		 4-An2000.01.Fra
264 reference(s)
5-help.
242 reference(s)		 6-Galerie_NumberTheory.FV
206 reference(s)
7-RealNumbers.01.Fra
204 reference(s)		 8-Vcatalogue.11
201 reference(s)
9-Fractal.01
194 reference(s)		 10-Commentaires_NKleinBottle.01
189 reference(s)
11-LOG_xiMc.11
181 reference(s)		 12-Galerie_NewPictures.FV
164 reference(s)
13-AVirtualSpaceTimeTravelMachine.Fra
160 reference(s)		 14-AProposSite.01.Fra
159 reference(s)
15-nombresreels
156 reference(s)		 16-genielogiciel
155 reference(s)
17-realnumbers
154 reference(s)		 18-logiciel
154 reference(s)
19-demo.14
154 reference(s)		 20-demo14
153 reference(s)
21-demo
153 reference(s)		 22-an2000
153 reference(s)
23-GenieLogiciel_VisualisationScientifique.01.vv
153 reference(s)		 24-ImagesDuVirtuel.01.Fra.FV
148 reference(s)
25-Galerie_ArtisticCreation.FV
148 reference(s)		 26-Galerie_GeneralitiesVisualization.FV
146 reference(s)
27-ExpV_VirE.11
145 reference(s)		 28-FloatingPointNumbers.01.Fra
144 reference(s)
29-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
139 reference(s)		 30-copyright.01.
136 reference(s)
31-BEST.20171028
135 reference(s)		 32-BEST.20170228
135 reference(s)
33-Galerie_ArtAndScience.FV
134 reference(s)		 34-EntrelacsIntertwinings.01.Fra
134 reference(s)
35-MorePages.
132 reference(s)		 36-GoldenTriangle.01.Fra
132 reference(s)
37-BEST.20160228
132 reference(s)		 38-EntrelacsIntertwinings.01.Ang
131 reference(s)
39-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
129 reference(s)		 40-MathematiquesPhysiqueFractales.02
129 reference(s)
41-Galerie_TextureSynthesis.FV
127 reference(s)		 42-Galerie_SensitivityToRoundingOffErrors.FV
127 reference(s)
43-Galerie_DeterministicFractalGeometry.FV
127 reference(s)		 44-SurfaceProjector.01.Ang
126 reference(s)
45-MonodimensionalCellularAutomata.01.Fra
126 reference(s)		 46-Fractal.11
126 reference(s)
47-PerteDeLAssociativite.01
125 reference(s)		 48-mail.01.vv
124 reference(s)
49-MathematiquesPhysiqueFractales.12
124 reference(s)		 50-Galerie_DeterministicChaos.FV
124 reference(s)
51-AnimFractal.01.
124 reference(s)		 52-Informations_AboutPicturesAnimationsAndFiles.01.Ang
123 reference(s)
53-Galerie_ImagesDesMathematiques.FV
123 reference(s)		 54-BEST.20170528
122 reference(s)
55-NDimensionalDeterministicFractalSets.01.Ang
121 reference(s)		 56-Galerie_ParticleSystems.FV
121 reference(s)
57-Fractal.21
121 reference(s)		 58-Galerie_BestOf.FV
120 reference(s)
59-FloatingPointNumbers.01.Ang
120 reference(s)		 60-Exposition_EcolePolytechnique_FeteDeLaScience_201910
120 reference(s)
61-BEST.20170428
120 reference(s)		 62-Autostereograms.01.
120 reference(s)
63-UlamSpiral.01.Fra
119 reference(s)		 64-ExpV_VirE.21
119 reference(s)
65-catalogue.11
118 reference(s)		 66-SurfaceProjector.01.Fra
118 reference(s)
67-ImpossibleStructures.01.Ang
118 reference(s)		 68-BEST.20150828
118 reference(s)
69-BEST.20141228
118 reference(s)		 70-BEST.20140128
118 reference(s)
71-Stereogrammes_AutoStereogrammes.01
117 reference(s)		 72-OrdinateursEtCalculs.01.Fra
117 reference(s)
73-NDimensionalDeterministicFractalSets.01.Fra
117 reference(s)		 74-NatureDesMathematiques.01.vv.Fra
116 reference(s)
75-DieuScience.01.Fra
116 reference(s)		 76-BEST.20140828
116 reference(s)
77-BEST.20130828
116 reference(s)		 78-ImpossibleStructures.01.Fra
115 reference(s)
79-Galerie_QuantumMechanics.FV
115 reference(s)		 80-Commentaires_EscargotHypocycloidalDeJeener.01
115 reference(s)
81-present.01.
114 reference(s)		 82-Galerie_Tributes.FV
114 reference(s)
83-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
114 reference(s)		 84-BEST.20130428
114 reference(s)
85-RasoirDOccamEtMathematiques.01.vv.Fra
113 reference(s)		 86-MonodimensionalCellularAutomata.01.Ang
113 reference(s)
87-Kepler.02.
113 reference(s)		 88-GoldenTriangle.01.Ang
113 reference(s)
89-Galerie_Astrophysics.FV
113 reference(s)		 90-Commentaires_VaguesDeJeener.01
113 reference(s)
91-BEST.20150928
113 reference(s)		 92-BEST.20130628
113 reference(s)
93-FaireDeLaRecherche.01.vv
112 reference(s)		 94-BEST.20071128
112 reference(s)
95-UlamSpiral.01.Ang
111 reference(s)		 96-MathematiquesPhysiqueFractales.22
111 reference(s)
97-ManyChaos.01.Fra
111 reference(s)		 98-Informations_GoodNewsAndBadNews.01.Fra
111 reference(s)
99-BEST.20170828
111 reference(s)		 100-BEST.20170128
111 reference(s)
101-BEST.20150628
111 reference(s)		 102-NombresEtLumiere.01.vv.Fra
110 reference(s)
103-IllusionConnaissance.02
110 reference(s)		 104-infinity.01.vv
109 reference(s)
105-Galerie_SignalProcessing.FV
109 reference(s)		 106-Galerie_CelestialMechanics.FV
109 reference(s)
107-BEST.20160928
109 reference(s)		 108-BEST.20141028
109 reference(s)
109-subject.01.
108 reference(s)		 110-infinity.02.vv
108 reference(s)
111-AQuoiServentLesMathematiques.01
108 reference(s)		 112-Informations_GoodNewsAndBadNews.01.Ang
106 reference(s)
113-Fractal.03
106 reference(s)		 114-ManyChaos.01.Ang
105 reference(s)
115-HommageBenoitMandelbrot.21
105 reference(s)		 116-GenieLogiciel.01.Fra
105 reference(s)
117-DuModeleALImage.02.Fra
105 reference(s)		 118-BEST.20140728
105 reference(s)
119-AvantPropos.01.Fra
105 reference(s)		 120-xtc_____HexagonesPremiers.01.vv.c.
104 reference(s)
121-Pcatalogue.11
104 reference(s)		 122-PatrimoineHumanite.02.Fra
104 reference(s)
123-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
104 reference(s)		 124-Exposition_OperaDeMassy_201912_202001
104 reference(s)
125-BEST.20151028
104 reference(s)		 126-BEST.20140628
104 reference(s)
127-VirtualChaos.01.Ang
103 reference(s)		 128-Spheres.01
103 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.