Monthly Best Of on 07/28/2020




Tridimensional fractal structure

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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(CMAP28 WWW site: this page was created on 07/28/2020 and last updated on 10/03/2024 17:04:05 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Autostereogram of a quaternionic Julia set -tridimensional cross-section-
1-67 reference(s)		Happy new year 2000
2-57 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
3-52 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-51 reference(s)
A blue Sponge-tree -a Tribute to Yves Klein-
5-50 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-
6-49 reference(s)		The random walk of photons escaping the Sun
7-48 reference(s)		The bidimensional John Conway's life game
8-47 reference(s)
Tridimensional zoom in on the Mandelbrot set
9-45 reference(s)		From Mars to the Sun
10-44 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
11-44 reference(s)		The random walk of photons escaping the Sun
12-43 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
13-43 reference(s)		Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
14-42 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
15-41 reference(s)		Bidimensional geometrical texture animation
16-41 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
17-41 reference(s)		Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
18-41 reference(s)		The Möbius strip
19-41 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-
20-40 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
21-40 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-
22-40 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
23-40 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-
24-39 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-
25-39 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-
26-38 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
27-38 reference(s)		Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
28-37 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
29-37 reference(s)		Tridimensional texture animation by means of the Generalized Product
30-37 reference(s)		Bidimensional texture animation by means of the Generalized Product
31-37 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
32-35 reference(s)
The Menger Sponge -iteration 0-
33-34 reference(s)		K/LD Matrix -'CDCM4_CDC_A.01' measures-
34-34 reference(s)		Tridimensional visualization of the Verhulst dynamics
35-34 reference(s)		A fractal-fractal tree
36-34 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
37-34 reference(s)		Tridimensional fractal structure -the space-time foam?-
38-33 reference(s)		The Bonan-Jeener-Klein triple bottle
39-33 reference(s)		Tridimensional fractal structure
40-32 reference(s)
Artistic view of the prime numbers
41-32 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
42-31 reference(s)		Structures with a random central square -19%-
43-30 reference(s)		The Universe at the heart of a Calabi-Yau manifold
44-29 reference(s)
K/LD Matrix -'Optimal_A1.03' measures-
45-27 reference(s)		Magical forest
46-26 reference(s)		The random walk of photons escaping the Sun
47-26 reference(s)		Quark and gluon structure of a nucleon
48-25 reference(s)
Quantum vacuum fluctuations
49-24 reference(s)		Autostereogram of the CMAP
50-24 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
51-24 reference(s)		The Menger Sponge -iteration 5-
52-24 reference(s)
K/LD Matrix -'CDCM3_B4.01' measures-
53-24 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
54-24 reference(s)		The 64 first lines of the Pascal's Triangle
55-23 reference(s)		An elementary monodimensional binary cellular automaton -90- with 1 white starting point -bottom middle-
56-22 reference(s)
Autostereogram with an hidden volcano
57-21 reference(s)		K/LD Matrix -'CDCM4_CDC_1.01' measures-
58-21 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
59-21 reference(s)		Isle of the Dead -a Tribute to Arnold Böcklin-
60-21 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
61-21 reference(s)		Computation of the roots of Z^3=1 using Newton's method
62-20 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
63-20 reference(s)		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
64-20 reference(s)
The Jeener 'bulot' -a shell-
65-20 reference(s)		A tridimensional intertwining made of the Menger Sponge -iteration 5- the Bonan-Jeener-Klein triple bottle
66-19 reference(s)		Autostereogram with an hidden volcano
67-19 reference(s)		Color palette 'orange'
68-19 reference(s)
The Lorenz attractor
69-19 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
70-19 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
71-18 reference(s)		Autostereogram with an hidden volcano
72-18 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
73-18 reference(s)		Autostereogram with an hidden ring and ghost bows
74-18 reference(s)		Tridimensional Hilbert Curve -iteration 3-
75-18 reference(s)		Hypercube
76-18 reference(s)
A truncated quadrimensional Calabi-Yau manifold with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
77-18 reference(s)		The Jeener-Klein triple bottle
78-18 reference(s)		The Jeener-Klein triple bottle
79-18 reference(s)		Computation of the roots of Z^8=1 using Newton's method
80-17 reference(s)
Sixty-four overlaped torus
81-17 reference(s)		K/LD Matrix -'CDCM3_CDC_4.01' measures-
82-17 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
83-17 reference(s)		The Sierpinski Carpet -iteration 1 to 5-
84-16 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
85-16 reference(s)		An arbitrary surface (Jeener surface 2)in motion
86-16 reference(s)		A tridimensional structure based on a 1/O conformal transformation in the pseudo-octonionic space -tridimensional cross-section-
87-16 reference(s)		The Jeener flower
88-16 reference(s)
The Jeener-Klein bottle 'epicycloidal' spiral
89-16 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
90-15 reference(s)		A 'recursive' -two iterations-' tridimensional intertwining inside a sphere
91-15 reference(s)		4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
92-15 reference(s)
Pseudo Olympic Rings
93-15 reference(s)		Color palette 'jaune.21'
94-15 reference(s)		The quaternionic Julia set -degree=2- computed -pseudo-addition and pseudo-multiplication in C- with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section-
95-15 reference(s)		Sixteen interlaced fractal torus
96-15 reference(s)
The 64 first lines of the Pascal's Triangle -modulo 2-
97-14 reference(s)		The Jeener triton
98-14 reference(s)		A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
99-14 reference(s)		A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
100-14 reference(s)
A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
101-14 reference(s)		Autostereogram with an hidden volcano
102-14 reference(s)		Autostereogram of Monument Valley
103-14 reference(s)		K/LD Matrix -'bzip2_CDC_2.01' measures-
104-14 reference(s)
A shell (Jeener surface 1)in motion
105-14 reference(s)		A 4-cube -an hypercube-
106-14 reference(s)		A pay slip
107-13 reference(s)		Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
108-13 reference(s)
Animation of a sunrise on mountains
109-13 reference(s)		The Simpson paradox
110-13 reference(s)		Color palette 'jaune'
111-13 reference(s)		An arbitrary surface (Jeener surface 2)in motion
112-13 reference(s)
Close-up on a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
113-13 reference(s)		Untitled 0265 -a Tribute to Vassily Kandinsky-
114-13 reference(s)		Untitled 0145
115-13 reference(s)		Anaglyph -blue=right, red=left- of a fractal hypercube
116-13 reference(s)
The Klein bottle
117-13 reference(s)		The Jeener giant clam
118-13 reference(s)		About the length of the von Koch curve
119-12 reference(s)		Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
120-12 reference(s)
6 evenly distributed points on a sphere -an Octahedron- by means of simulated annealing
121-12 reference(s)		The bidimensional field defining the 'Y' coordinate of a fractal 'celestial body' based on a torus
122-12 reference(s)		The generalized Ulam spiral
123-12 reference(s)		Sunny Monument Valley
124-12 reference(s)
Botticelli anomaly on the Moon
125-12 reference(s)		N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
126-12 reference(s)		The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
127-12 reference(s)		The quaternionic Julia set -degree=2- computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section-
128-12 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
544 reference(s)		2-AVirtualSpaceTimeTravelMachine.Ang
466 reference(s)
3-An2000.01.Fra
308 reference(s)		4-help.
246 reference(s)
5-Vcatalogue.11
237 reference(s)		6-RealNumbers.01.Fra
192 reference(s)
7-Galerie_NumberTheory.FV
190 reference(s)		8-GenieLogiciel_VisualisationScientifique.01.vv
183 reference(s)
9-Commentaires_NKleinBottle.01
177 reference(s)		10-demo.14
164 reference(s)
11-realnumbers
163 reference(s)		12-nombresreels
163 reference(s)
13-logiciel
163 reference(s)		14-Fractal.01
163 reference(s)
15-genielogiciel
162 reference(s)		16-demo14
162 reference(s)
17-AVirtualSpaceTimeTravelMachine.Fra
162 reference(s)		18-demo
161 reference(s)
19-an2000
161 reference(s)		20-mail.01.vv
159 reference(s)
21-Galerie_GeneralitiesVisualization.FV
156 reference(s)		22-Exposition_EcolePolytechnique_FeteDeLaScience_201910
154 reference(s)
23-AProposSite.01.Fra
152 reference(s)		24-UlamSpiral.01.Fra
151 reference(s)
25-copyright.01.
149 reference(s)		26-SurfaceProjector.01.Fra
147 reference(s)
27-FloatingPointNumbers.01.Fra
147 reference(s)		28-SurfaceProjector.01.Ang
146 reference(s)
29-MathematiquesPhysiqueFractales.12
146 reference(s)		30-Galerie_DeterministicFractalGeometry.FV
144 reference(s)
31-Stereogrammes_AutoStereogrammes.01
143 reference(s)		32-NDimensionalDeterministicFractalSets.01.Fra
142 reference(s)
33-MathematiquesPhysiqueFractales.02
142 reference(s)		34-LOG_xiMc.11
141 reference(s)
35-Fractal.11
141 reference(s)		36-GoldenTriangle.01.Fra
140 reference(s)
37-Galerie_NewPictures.FV
140 reference(s)		38-DieuScience.01.Fra
140 reference(s)
39-Fractal.21
139 reference(s)		40-EntrelacsIntertwinings.01.Fra
137 reference(s)
41-EntrelacsIntertwinings.01.Ang
137 reference(s)		42-Autostereograms.01.
137 reference(s)
43-ExpV_VirE.11
135 reference(s)		44-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
135 reference(s)
45-NDimensionalDeterministicFractalSets.01.Ang
133 reference(s)		46-Galerie_ArtAndScience.FV
132 reference(s)
47-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
131 reference(s)		48-Galerie_ParticleSystems.FV
130 reference(s)
49-Galerie_Astrophysics.FV
130 reference(s)		50-MonodimensionalCellularAutomata.01.Fra
128 reference(s)
51-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
128 reference(s)		52-Galerie_ArtisticCreation.FV
128 reference(s)
53-AnimFractal.01.
128 reference(s)		54-present.01.
127 reference(s)
55-Galerie_ImagesDesMathematiques.FV
127 reference(s)		56-DuModeleALImage.02.Fra
127 reference(s)
57-catalogue.11
126 reference(s)		58-GoldenTriangle.01.Ang
126 reference(s)
59-Informations_AboutPicturesAnimationsAndFiles.01.Ang
125 reference(s)		60-Galerie_QuantumMechanics.FV
125 reference(s)
61-ImpossibleStructures.01.Ang
124 reference(s)		62-xrq_____hydrogene.61.K.
123 reference(s)
63-subject.01.
123 reference(s)		64-ImagesDuVirtuel.01.Fra.FV
123 reference(s)
65-Galerie_CelestialMechanics.FV
123 reference(s)		66-Galerie_BestOf.FV
123 reference(s)
67-FloatingPointNumbers.01.Ang
123 reference(s)		68-AQuoiServentLesMathematiques.01
123 reference(s)
69-MathematiquesPhysiqueFractales.02.1
121 reference(s)		70-Informations_GoodNewsAndBadNews.01.Fra
121 reference(s)
71-Commentaires_JumelleJeenerBottle.01
120 reference(s)		72-PerteDeLAssociativite.01
119 reference(s)
73-IllusionConnaissance.02
119 reference(s)		74-FaireDeLaRecherche.01.vv
119 reference(s)
75-ExpV_VirE.21
119 reference(s)		76-BEST.20171028
119 reference(s)
77-Galerie_Tributes.FV
117 reference(s)		78-Galerie_SensitivityToRoundingOffErrors.FV
117 reference(s)
79-Galerie_DeterministicChaos.FV
116 reference(s)		80-create.03.
115 reference(s)
81-UlamSpiral.01.Ang
115 reference(s)		82-Polynomials_RationalNumbers.01.Fra
115 reference(s)
83-NombresEtLumiere.01.vv.Fra
115 reference(s)		84-GenieLogiciel.01.Fra
115 reference(s)
85-Galerie_TextureSynthesis.FV
115 reference(s)		86-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
115 reference(s)
87-infinity.01.vv
114 reference(s)		88-Pcatalogue.11
114 reference(s)
89-MathematiquesPhysiqueFractales.22
114 reference(s)		90-Kepler.02.
114 reference(s)
91-ExpV_VirE.Ang
114 reference(s)		92-MorePages.
113 reference(s)
93-Exposition_MairieCinquiemeArrondissementParis_202001_202002
113 reference(s)		94-ConjectureDeSyracuse_0256.vv
113 reference(s)
95-Polynomials_RationalNumbers.01.Ang
112 reference(s)		96-Informations_GoodNewsAndBadNews.01.Ang
112 reference(s)
97-ImpossibleStructures.01.Fra
112 reference(s)		98-FaireConnaitre_FaireAimer_les_Mathematiques_en_2020.01.vv.Fra
112 reference(s)
99-Exposition_EcolePolytechnique_FeteDeLaScience_201810
112 reference(s)		100-infinity.02.vv
111 reference(s)
101-MonodimensionalCellularAutomata.01.Ang
111 reference(s)		102-Galerie_ImagesDidactiques.FV
111 reference(s)
103-Exposition_OperaDeMassy_201912_202001
111 reference(s)		104-ArtScience.01
111 reference(s)
105-NatureDesMathematiques.01.vv.Fra
110 reference(s)		106-Galerie_SignalProcessing.FV
110 reference(s)
107-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
110 reference(s)		108-OrdinateursEtCalculs.01.Fra
109 reference(s)
109-OrdinateursEtCalculs.01.Ang
109 reference(s)		110-LesApprentisDieux.01
109 reference(s)
111-Exposition_EcolePolytechnique_AnneeMondialeDeLaPhysique_2005
109 reference(s)		112-Commentaires_DefinitionPseudoQuaternions.01
109 reference(s)
113-MathematiquesPhysiqueFractales.02.27
108 reference(s)		114-FaireDesMathematiques.01.Fra
108 reference(s)
115-DecimalesPi_1_100.vv
108 reference(s)		116-BEST.20170128
108 reference(s)
117-BEST.20141228
108 reference(s)		118-AvantPropos.01.Ang
108 reference(s)
119-An2000.01.Ang
108 reference(s)		120-MonumentValley.01.Ang
107 reference(s)
121-ManyChaos.01.Ang
107 reference(s)		122-Galerie_FluidMechanics.FV
107 reference(s)
123-Fractal.02
107 reference(s)		124-RemarquesCerveau.01
106 reference(s)
125-HommageBenoitMandelbrot.21
106 reference(s)		126-Exposition_EcolePolytechnique_FeteDeLaScience_201510
106 reference(s)
127-ConjectureDeSyracuse_0128.Parity.vv
106 reference(s)		128-BEST.20160228
106 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.