Monthly Best Of on 03/28/2020




A perfect bidimensional fractal tree and the self-similarity

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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[Please, visit A Virtual Machine for Exploring Space-Time and Beyond, the place where you can find thousands of pictures and animations between Art and Science]
(CMAP28 WWW site: this page was created on 03/28/2020 and last updated on 11/14/2023 17:49:53 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Autostereogram of the CMAP
1-186 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
2-113 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
3-109 reference(s)		 The random walk of photons escaping the Sun
4-92 reference(s)
Autostereogram with an hidden volcano
5-76 reference(s)		 The random walk of photons escaping the Sun
6-76 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
7-76 reference(s)		 Monument Valley à la David Hockney
8-66 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-
9-65 reference(s)		 Untitled 0294 -a Tribute to Victor Vasarely
10-63 reference(s)		 The Bonan-Jeener-Klein triple bottle
11-63 reference(s)		 The random walk of photons escaping the Sun
12-60 reference(s)
The bidimensional John Conway's life game
13-56 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
14-54 reference(s)		 Happy new year 2000
15-53 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-
16-51 reference(s)
A blue sponge-tree -a Tribute to Yves Klein-
17-51 reference(s)		 Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
18-47 reference(s)		 The Jeener-Klein triple bottle
19-47 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-
20-45 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
21-45 reference(s)		 Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
22-44 reference(s)		 The first four iterations of the construction of the von Koch snowflake
23-43 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
24-43 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
25-43 reference(s)		 Artistic view of the prime numbers
26-43 reference(s)		 Tridimensional texture animation by means of the Generalized Product
27-42 reference(s)		 From Mars to the Sun
28-42 reference(s)
The Möbius strip
29-42 reference(s)		 Tridimensional zoom in on the Mandelbrot set
30-42 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
31-42 reference(s)		 Bidimensional geometrical texture animation
32-41 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
33-41 reference(s)		 Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
34-41 reference(s)		 Bidimensional texture animation by means of the Generalized Product
35-41 reference(s)		 Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
36-41 reference(s)
Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
37-40 reference(s)		 Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
38-40 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-
39-37 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
40-37 reference(s)
Victor Vasarely meets Piet Mondrian
41-36 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
42-36 reference(s)		 Autostereogram with an hidden volcano
43-35 reference(s)		 Untitled 0265 -a Tribute to Vassily Kandinsky-
44-34 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
45-34 reference(s)		 Untitled 0271 -a Tribute to Vassily Kandinsky-
46-33 reference(s)		 A 4-cube -an hypercube-
47-33 reference(s)		 The Jeener-Klein triple bottle
48-32 reference(s)
Untitled 0293 -a Tribute to Pierre Soulages
49-30 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-
50-30 reference(s)		 Untitled 0267 -a Tribute to Piet Mondrian-
51-30 reference(s)		 A tridimensional intertwining made of an amazing cross-section inside the Menger sponge -iteration 5- inside a sphere
52-29 reference(s)
The Jeener triton
53-28 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
54-28 reference(s)		 Quantum vacuum fluctuations
55-27 reference(s)		 An aperiodic Penrose tiling of the plane
56-27 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
57-27 reference(s)		 Autostereogram with an hidden volcano
58-27 reference(s)		 Pseudo Olympic Rings
59-26 reference(s)		 The Menger sponge -iteration 5-
60-26 reference(s)
The Mandelbrot set
61-24 reference(s)		 A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
62-24 reference(s)		 A tridimensionally distorded aperiodic Penrose tiling of the plane
63-23 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
64-22 reference(s)
An aperiodic Penrose tiling of the plane
65-22 reference(s)		 A pay slip
66-22 reference(s)		 The Scream -a Tribute to Edvard Munch-
67-22 reference(s)		 Color palette 'jaune'
68-22 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
69-22 reference(s)		 A spherical cross-section inside the Menger sponge -iteration 5-
70-22 reference(s)		 Metropolis -a Tribute to Fritz Lang-
71-22 reference(s)		 Tridimensional Hilbert Curve -iteration 3-
72-22 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
73-22 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
74-22 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
75-21 reference(s)		 Untitled 0307 -with an illusion of depth (the red seems to be in the foreground and the blue in the background)-
76-21 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
77-21 reference(s)		 Fractal Self-Portrait -a Tribute to René Magritte-
78-21 reference(s)		 A fractal Klein bottle
79-21 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
80-21 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
81-20 reference(s)		 The Klein bottle defined by means of three bidimensional fields
82-20 reference(s)		 A thin double spherical cross-section inside the Menger sponge -iteration 5-
83-20 reference(s)		 Bidimensional Hilbert Curve -iteration 4-
84-20 reference(s)
Hypercube
85-20 reference(s)		 The Jeener hypocycloidal snail
86-20 reference(s)		 The Jeener shell -1-
87-20 reference(s)		 An aperiodic Penrose tiling of the plane
88-19 reference(s)
Untitled 0308
89-19 reference(s)		 The construction process of the Sierpinski carpet
90-19 reference(s)		 From 'geocentrism' to 'heliocentrism'
91-19 reference(s)		 An extended Menger sponge -iteration 1-
92-19 reference(s)
A half-random extended Menger sponge -iteration 5-
93-19 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
94-19 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
95-18 reference(s)		 Two multiplexed autostereograms by means of a pi/2 rotation
96-18 reference(s)
Monument Valley at sunrise
97-18 reference(s)		 An extended Menger sponge -iteration 3-
98-18 reference(s)		 Anaglyph -blue=right, red=left- of an hypercube
99-18 reference(s)		 From the infinitely small to the infinitely big
100-18 reference(s)
Quantum vacuum fluctuations
101-17 reference(s)		 A fractal vegetal structure
102-17 reference(s)		 Untitled 0312
103-17 reference(s)		 The Boy surface
104-17 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
105-17 reference(s)		 The Lorenz attractor
106-17 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
107-17 reference(s)		 The Jeener 'bulot' -a shell-
108-17 reference(s)
An aperiodic Penrose tiling of the Golden Decagon with five hidden cubes
109-16 reference(s)		 Untitled 0306
110-16 reference(s)		 Autostereogram with an hidden ring and ghost bows
111-16 reference(s)		 2000 evenly distributed points on a sphere by means of the Fibonacci spiral
112-16 reference(s)
The Sierpinski carpet -iteration 5-
113-16 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
114-16 reference(s)		 The generalized Ulam spiral displaying 2025 numbers
115-16 reference(s)		 An extended Menger sponge -iteration 5-
116-16 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
117-16 reference(s)		 Sixteen interlaced fractal torus
118-16 reference(s)		 Isle of the Dead -a Tribute to Arnold Böcklin-
119-16 reference(s)		 Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
120-15 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
121-15 reference(s)		 An aperiodic Penrose tiling of the plane
122-15 reference(s)		 Autostereogram with an hidden volcano
123-15 reference(s)		 The Sierpinski carpet -iteration 1 to 5-
124-15 reference(s)
The Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
125-15 reference(s)		 Bidimensional zoom in on the Mandelbrot set
126-15 reference(s)		 Electron diffraction
127-15 reference(s)		 The Jeener-Klein quintuple bottle
128-15 reference(s)




2-The 128 most referenced Pages (*):

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



1-AVirtualSpaceTimeTravelMachine.Ang
700 reference(s)		 2-demo_14
631 reference(s)
3-Vcatalogue.11
565 reference(s)		 4-ImagesDuVirtuel.01.Fra
350 reference(s)
5-help.
333 reference(s)		 6-An2000.01.Fra
314 reference(s)
7-RealNumbers.01.Fra
232 reference(s)		 8-Commentaires_NKleinBottle.01
212 reference(s)
9-Galerie_NumberTheory.FV
206 reference(s)		 10-LOG_xiMc.11
198 reference(s)
11-AVirtualSpaceTimeTravelMachine.Fra
193 reference(s)		 12-FloatingPointNumbers.01.Fra
185 reference(s)
13-Fractal.01
184 reference(s)		 14-Fractal.11
183 reference(s)
15-Galerie_NewPictures.FV
182 reference(s)		 16-Galerie_ArtisticCreation.FV
182 reference(s)
17-mail.01.vv
171 reference(s)		 18-demo
170 reference(s)
19-realnumbers
169 reference(s)		 20-genielogiciel
169 reference(s)
21-an2000
169 reference(s)		 22-nombresreels
168 reference(s)
23-logiciel
168 reference(s)		 24-demo14
168 reference(s)
25-demo.14
168 reference(s)		 26-GenieLogiciel_VisualisationScientifique.01.vv
167 reference(s)
27-Galerie_GeneralitiesVisualization.FV
165 reference(s)		 28-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
164 reference(s)
29-AProposSite.01.Fra
164 reference(s)		 30-Galerie_DeterministicFractalGeometry.FV
163 reference(s)
31-Galerie_ImagesDesMathematiques.FV
161 reference(s)		 32-Galerie_ArtAndScience.FV
160 reference(s)
33-DieuScience.01.Fra
160 reference(s)		 34-copyright.01.
157 reference(s)
35-MathematiquesPhysiqueFractales.02
155 reference(s)		 36-Exposition_EcolePolytechnique_FeteDeLaScience_201910
154 reference(s)
37-ExpV_VirE.11
154 reference(s)		 38-Galerie_ParticleSystems.FV
153 reference(s)
39-AQuoiServentLesMathematiques.01
153 reference(s)		 40-SurfaceProjector.01.Fra
152 reference(s)
41-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
150 reference(s)		 42-NatureDesMathematiques.01.vv.Fra
149 reference(s)
43-GoldenTriangle.01.Fra
147 reference(s)		 44-Galerie_TextureSynthesis.FV
147 reference(s)
45-EntrelacsIntertwinings.01.Fra
146 reference(s)		 46-UlamSpiral.01.Fra
145 reference(s)
47-create.03.
143 reference(s)		 48-Stereogrammes_AutoStereogrammes.01
141 reference(s)
49-IllusionConnaissance.02
141 reference(s)		 50-FloatingPointNumbers.01.Ang
141 reference(s)
51-MonodimensionalCellularAutomata.01.Fra
140 reference(s)		 52-Galerie_CelestialMechanics.FV
140 reference(s)
53-Autostereograms.01.
140 reference(s)		 54-SurfaceProjector.01.Ang
139 reference(s)
55-MathematiquesPhysiqueFractales.22
138 reference(s)		 56-MathematiquesPhysiqueFractales.12
138 reference(s)
57-Galerie_SensitivityToRoundingOffErrors.FV
138 reference(s)		 58-Galerie_BestOf.FV
137 reference(s)
59-MorePages.
136 reference(s)		 60-EntrelacsIntertwinings.01.Ang
136 reference(s)
61-catalogue.11
133 reference(s)		 62-NDimensionalDeterministicFractalSets.01.Ang
133 reference(s)
63-Fractal.21
132 reference(s)		 64-Informations_AboutPicturesAnimationsAndFiles.01.Ang
131 reference(s)
65-ImpossibleStructures.01.Fra
131 reference(s)		 66-FaireDeLaRecherche.01.vv
131 reference(s)
67-present.01.
129 reference(s)		 68-DecimalesPi_1_100.vv
129 reference(s)
69-xtc_____HexagonesPremiers.01.vv.c.
128 reference(s)		 70-Galerie_QuantumMechanics.FV
128 reference(s)
71-infinity.01.vv
127 reference(s)		 72-ExpV_VirE.21
127 reference(s)
73-NombresEtLumiere.01.vv.Fra
126 reference(s)		 74-EnsembleDesGaleriesFractales.DIAPO.0031
126 reference(s)
75-BEST.20170228
126 reference(s)		 76-PerteDeLAssociativite.01
125 reference(s)
77-Galerie_Astrophysics.FV
125 reference(s)		 78-DuModeleALImage.02.Fra
125 reference(s)
79-BEST.20170428
125 reference(s)		 80-NDimensionalDeterministicFractalSets.01.Fra
124 reference(s)
81-Galerie_DeterministicChaos.FV
124 reference(s)		 82-RasoirDOccamEtMathematiques.01.vv.Fra
123 reference(s)
83-Galerie_Tributes.FV
123 reference(s)		 84-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
123 reference(s)
85-BEST.20160228
123 reference(s)		 86-PatrimoineHumanite.02.Fra
122 reference(s)
87-Kepler.02.
122 reference(s)		 88-subject.01.
121 reference(s)
89-OrdinateursEtCalculs.01.Fra
121 reference(s)		 90-Galerie_SignalProcessing.FV
121 reference(s)
91-ImagesDuVirtuel.01.Fra.FV
120 reference(s)		 92-EntrelacsIntertwinings.01.Ang.DIAPO.0546
120 reference(s)
93-AnimFractal.01.
120 reference(s)		 94-GoldenTriangle.01.Ang
119 reference(s)
95-GenieLogiciel.01.Fra
119 reference(s)		 96-UlamSpiral.01.Ang
118 reference(s)
97-ImpossibleStructures.01.Ang
118 reference(s)		 98-ManyChaos.01.Fra
117 reference(s)
99-infinity.02.vv
116 reference(s)		 100-LesApprentisDieux.01
116 reference(s)
101-BEST.20130828
116 reference(s)		 102-OrdinateursEtCalculs.01.Ang
115 reference(s)
103-BEST.20160928
115 reference(s)		 104-xtc_____verhulst.94.c.
114 reference(s)
105-MonodimensionalCellularAutomata.01.Ang
114 reference(s)		 106-ManyChaos.01.Ang
114 reference(s)
107-MiseEnSceneDesNombres.01.vv.Ang
113 reference(s)		 108-Informations_GoodNewsAndBadNews.01.Fra
113 reference(s)
109-Informations_AboutPicturesAnimationsAndFiles.01.Fra
113 reference(s)		 110-HommageBenoitMandelbrot.21
113 reference(s)
111-Galerie_FluidMechanics.FV
113 reference(s)		 112-BEST.20150928
113 reference(s)
113-VisualisationRelief.01.vv.Fra
112 reference(s)		 114-OrdinateurMathematiquesArt.01.Fra
112 reference(s)
115-MathematiquesEtCinematographe.01.vv
112 reference(s)		 116-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
112 reference(s)
117-Commentaires_DefinitionPseudoQuaternions.01
112 reference(s)		 118-BEST.20170528
112 reference(s)
119-BEST.20150628
112 reference(s)		 120-VirtualChaos.01.Fra
111 reference(s)
121-VirtualChaos.01.Ang
111 reference(s)		 122-RemarquesCerveau.01
111 reference(s)
123-MathematiquesModeleOutilArtiste.02.Ang
111 reference(s)		 124-Galerie_NumberTheory.DIAPO.0002
111 reference(s)
125-Galerie_ArtAndScience.DIAPO.0040
111 reference(s)		 126-Fractal.03
111 reference(s)
127-Exposition_OperaDeMassy_201912_202001
111 reference(s)		 128-AvantPropos.01.Fra
111 reference(s)

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




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