Monthly Best Of on 02/28/2020




The iterative process used to generate bidimensional fractal fields (large mesh)

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 02/28/2020 and last updated on 10/03/2024 17:04:01 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Autostereogram of the CMAP
1-309 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
2-153 reference(s)		Victor Vasarely meets Piet Mondrian
3-123 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
4-116 reference(s)
Untitled 0294 -a Tribute to Victor Vasarely
5-110 reference(s)		The random walk of photons escaping the Sun
6-98 reference(s)		Autostereogram with an hidden volcano
7-96 reference(s)		The random walk of photons escaping the Sun
8-93 reference(s)
Happy new year 2000
9-78 reference(s)		Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
10-76 reference(s)		The bidimensional John Conway's life game
11-75 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
12-73 reference(s)
Untitled 0293 -a Tribute to Pierre Soulages
13-73 reference(s)		The random walk of photons escaping the Sun
14-65 reference(s)		A spherical cross-section inside the Menger Sponge -iteration 5-
15-63 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
16-63 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
17-63 reference(s)		The Bonan-Jeener-Klein triple bottle
18-63 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
19-62 reference(s)		The Jeener-Klein triple bottle
20-58 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
21-57 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
22-57 reference(s)		From 'geocentrism' to 'heliocentrism'
23-56 reference(s)		Tridimensional zoom in on the Mandelbrot set
24-56 reference(s)
A blue Sponge-tree -a Tribute to Yves Klein-
25-56 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
26-56 reference(s)		A 4-cube -an hypercube-
27-55 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-
28-54 reference(s)
The Möbius strip
29-54 reference(s)		From Mars to the Sun
30-53 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
31-53 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
32-53 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
33-52 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
34-52 reference(s)		The first four iterations of the construction of the von Koch snowflake
35-51 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
36-51 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
37-51 reference(s)		Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
38-51 reference(s)		Bidimensional geometrical texture animation
39-50 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
40-50 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
41-50 reference(s)		Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
42-49 reference(s)		Tridimensional texture animation by means of the Generalized Product
43-49 reference(s)		Bidimensional texture animation by means of the Generalized Product
44-49 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
45-48 reference(s)		Untitled 0267 -a Tribute to Piet Mondrian-
46-48 reference(s)		Tridimensional Hilbert Curve -iteration 3-
47-47 reference(s)		A fractal Klein bottle
48-47 reference(s)
Untitled 0271 -a Tribute to Vassily Kandinsky-
49-46 reference(s)		Color palette 'jaune'
50-44 reference(s)		Artistic view of the prime numbers
51-44 reference(s)		Autostereogram with an hidden ring and ghost bows
52-43 reference(s)
Fractal Self-Portrait -a Tribute to René Magritte-
53-42 reference(s)		Pseudo Olympic Rings
54-41 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
55-41 reference(s)		An aperiodic Penrose tiling of the plane
56-40 reference(s)
Autostereogram with an hidden volcano
57-39 reference(s)		Quantum vacuum fluctuations
58-38 reference(s)		An aperiodic Penrose tiling of the plane
59-38 reference(s)		An extended Menger Sponge -iteration 3-
60-38 reference(s)
Hypercube
61-38 reference(s)		The generalized Ulam spiral
62-37 reference(s)		Untitled 0304
63-36 reference(s)		A pay slip
64-34 reference(s)
The generalized Ulam spiral displaying 2025 numbers
65-34 reference(s)		The actual Solar System viewed during 243 years from a dark blue virtual planet -this last one approximately belongs to the plane of Pluto and its distance from the Sun equals the one of Mars-
66-34 reference(s)		Untitled 0265 -a Tribute to Vassily Kandinsky-
67-34 reference(s)		Un Système Multimedia Conversationnel, zéro.un.informatique, 10/1977, cover
68-34 reference(s)
Autostereogram with an hidden volcano
69-33 reference(s)		Fractal natural form
70-33 reference(s)		Metropolis -a Tribute to Fritz Lang-
71-33 reference(s)		Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
72-33 reference(s)
The 64 first lines of the Pascal's Triangle
73-32 reference(s)		Numerical value table -trigonometric functions-
74-32 reference(s)		The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
75-32 reference(s)		The Boy surface
76-32 reference(s)
The Scream -a Tribute to Edvard Munch-
77-32 reference(s)		From the infinitely small to the infinitely big
78-32 reference(s)		The Jeener-Klein triple bottle
79-32 reference(s)		An Archimedes spiral displaying 100000 numbers
80-31 reference(s)
A half-random extended Menger Sponge -iteration 5-
81-31 reference(s)		The Mandelbrot set
82-31 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
83-31 reference(s)		Tridimensional fractal structure
84-31 reference(s)
Quantum vacuum fluctuations
85-30 reference(s)		The Sierpinski Carpet -iteration 5-
86-30 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
87-30 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
88-29 reference(s)
An aperiodic Penrose tiling of the Golden Decagon
89-29 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Uranus point of view-
90-29 reference(s)		Untitled 0270 -a recursive Tribute to Piet Mondrian-
91-29 reference(s)		A tridimensionally distorded aperiodic Penrose tiling of the plane
92-28 reference(s)
A fractal aperiodic Penrose tiling
93-28 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
94-27 reference(s)		The generalized Ulam spiral
95-27 reference(s)		N-body problem integration (N=10)displaying the actual Solar System
96-27 reference(s)
An extended Menger Sponge -iteration 5-
97-27 reference(s)		The Menger Sponge -iteration 5-
98-27 reference(s)		Sixty-four interlaced fractal torus
99-27 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
100-27 reference(s)
The construction process of the Sierpinski Carpet
101-26 reference(s)		Color palette 'gris.12'
102-26 reference(s)		A thin double spherical cross-section inside the Menger Sponge -iteration 5-
103-26 reference(s)		The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
104-26 reference(s)
Tridimensional fractal Self-Portrait
105-26 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
106-26 reference(s)		Tridimensional display of an aperiodic Penrose tiling of the plane with a fractal noise
107-25 reference(s)		An aperiodic Penrose tiling of the plane
108-25 reference(s)
Quark and gluon structure of the meson
109-25 reference(s)		Electron-positron scattering
110-25 reference(s)		The connexity of the Mandelbrot set
111-24 reference(s)		The Sierpinski Carpet -iteration 1 to 5-
112-24 reference(s)
A tridimensional twisted torus-like manifold defined by means of three tridimensional fields
113-24 reference(s)		Isle of the Dead -a Tribute to Arnold Böcklin-
114-24 reference(s)		Tridimensional fractal structure
115-24 reference(s)		Quadruple impossible staircase built by means of a paradoxal structure -a Tribute to Maurits Cornelis Escher-
116-24 reference(s)
Fractal 'celestial body' based on a torus and a tridimensional intertwining inside a sphere
117-23 reference(s)		A punched paper tape
118-23 reference(s)		Wavelet transform of a bidimensional fractal field
119-23 reference(s)		From 'geocentrism' to 'heliocentrism'
120-23 reference(s)
Tridimensional visualization of the Mandelbrot set
121-23 reference(s)		Bidimensional Hilbert Curve -iteration 4-
122-23 reference(s)		Tridimensional fractal Self-Portrait
123-23 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
124-23 reference(s)
The Universe at the heart of a Calabi-Yau manifold
125-22 reference(s)		A tridimensionally distorded aperiodic Penrose tiling of the plane
126-22 reference(s)		A tridimensional intertwining inside a sphere
127-22 reference(s)		The bidimensional field defining the three coordinates of the Borromean Rings
128-22 reference(s)




2-The 128 most referenced Pages (*):

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



1-AVirtualSpaceTimeTravelMachine.Ang
670 reference(s)		2-demo_14
583 reference(s)
3-Vcatalogue.11
567 reference(s)		4-help.
475 reference(s)
5-ImagesDuVirtuel.01.Fra
357 reference(s)		6-An2000.01.Fra
327 reference(s)
7-GenieLogiciel_VisualisationScientifique.01.vv
252 reference(s)		8-RealNumbers.01.Fra
247 reference(s)
9-LOG_xiMc.11
197 reference(s)		10-Commentaires_NKleinBottle.01
190 reference(s)
11-AVirtualSpaceTimeTravelMachine.Fra
188 reference(s)		12-copyright.01.
187 reference(s)
13-Galerie_NumberTheory.FV
186 reference(s)		14-FloatingPointNumbers.01.Fra
183 reference(s)
15-nombresreels
176 reference(s)		16-demo
176 reference(s)
17-an2000
176 reference(s)		18-AProposSite.01.Fra
176 reference(s)
19-realnumbers
175 reference(s)		20-demo14
175 reference(s)
21-logiciel
174 reference(s)		22-genielogiciel
174 reference(s)
23-demo.14
174 reference(s)		24-Fractal.01
173 reference(s)
25-GoldenTriangle.01.Fra
172 reference(s)		26-Galerie_GeneralitiesVisualization.FV
170 reference(s)
27-Galerie_DeterministicFractalGeometry.FV
170 reference(s)		28-Galerie_NewPictures.FV
167 reference(s)
29-mail.01.vv
166 reference(s)		30-Stereogrammes_AutoStereogrammes.01
166 reference(s)
31-Galerie_ArtisticCreation.FV
166 reference(s)		32-FaireDeLaRecherche.01.vv
165 reference(s)
33-EntrelacsIntertwinings.01.Fra
165 reference(s)		34-MathematiquesPhysiqueFractales.02
163 reference(s)
35-Fractal.11
162 reference(s)		36-Galerie_ImagesDesMathematiques.FV
161 reference(s)
37-EntrelacsIntertwinings.01.Ang
161 reference(s)		38-Galerie_ParticleSystems.FV
159 reference(s)
39-SurfaceProjector.01.Fra
157 reference(s)		40-Galerie_ArtAndScience.FV
157 reference(s)
41-Exposition_EcolePolytechnique_FeteDeLaScience_201910
157 reference(s)		42-DieuScience.01.Fra
157 reference(s)
43-UlamSpiral.01.Fra
154 reference(s)		44-Galerie_TextureSynthesis.FV
154 reference(s)
45-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
152 reference(s)		46-NDimensionalDeterministicFractalSets.01.Ang
150 reference(s)
47-MonodimensionalCellularAutomata.01.Fra
150 reference(s)		48-Fractal.21
150 reference(s)
49-ExpV_VirE.11
150 reference(s)		50-Exposition_MairieCinquiemeArrondissementParis_202001_202002
149 reference(s)
51-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
148 reference(s)		52-present.01.
146 reference(s)
53-SurfaceProjector.01.Ang
146 reference(s)		54-GoldenTriangle.01.Ang
146 reference(s)
55-Galerie_SensitivityToRoundingOffErrors.FV
146 reference(s)		56-Autostereograms.01.
146 reference(s)
57-AQuoiServentLesMathematiques.01
146 reference(s)		58-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
145 reference(s)
59-infinity.01.vv
144 reference(s)		60-Galerie_QuantumMechanics.FV
144 reference(s)
61-MathematiquesPhysiqueFractales.12
143 reference(s)		62-ImpossibleStructures.01.Fra
143 reference(s)
63-Galerie_CelestialMechanics.FV
143 reference(s)		64-Galerie_Astrophysics.FV
142 reference(s)
65-AnimFractal.01.
142 reference(s)		66-NDimensionalDeterministicFractalSets.01.Fra
141 reference(s)
67-MorePages.
141 reference(s)		68-Informations_AboutPicturesAnimationsAndFiles.01.Ang
141 reference(s)
69-NombresEtLumiere.01.vv.Fra
139 reference(s)		70-MathematiquesPhysiqueFractales.22
139 reference(s)
71-Kepler.02.
139 reference(s)		72-GenieLogiciel.01.Fra
138 reference(s)
73-Galerie_DeterministicChaos.FV
136 reference(s)		74-FloatingPointNumbers.01.Ang
136 reference(s)
75-catalogue.11
135 reference(s)		76-ImpossibleStructures.01.Ang
135 reference(s)
77-IllusionConnaissance.02
135 reference(s)		78-Galerie_SignalProcessing.FV
135 reference(s)
79-UlamSpiral.01.Ang
134 reference(s)		80-PerteDeLAssociativite.01
134 reference(s)
81-HommageBenoitMandelbrot.21
134 reference(s)		82-Galerie_BestOf.FV
134 reference(s)
83-ExpV_VirE.21
134 reference(s)		84-RasoirDOccamEtMathematiques.01.vv.Fra
132 reference(s)
85-Fractal.03
132 reference(s)		86-MonodimensionalCellularAutomata.01.Ang
131 reference(s)
87-Galerie_Tributes.FV
131 reference(s)		88-DecimalesPi_1_100.vv
131 reference(s)
89-MiseEnSceneDesNombres.01.vv.Ang
130 reference(s)		90-infinity.02.vv
129 reference(s)
91-OrdinateursEtCalculs.01.Fra
129 reference(s)		92-NatureDesMathematiques.01.vv.Fra
129 reference(s)
93-OrdinateursEtCalculs.01.Ang
128 reference(s)		94-subject.01.
126 reference(s)
95-PatrimoineHumanite.02.Fra
126 reference(s)		96-Galerie_ImagesDidactiques.FV
126 reference(s)
97-MathematiquesEtCinematographe.01.vv
125 reference(s)		98-LesApprentisDieux.01
125 reference(s)
99-Pcatalogue.11
124 reference(s)		100-ImagesDuVirtuel.01.Fra.FV
124 reference(s)
101-MathematiquesEtRepresentations.01.vv.Ang
123 reference(s)		102-ManyChaos.01.Fra
123 reference(s)
103-Galerie_FluidMechanics.FV
123 reference(s)		104-DuModeleALImage.02.Fra
123 reference(s)
105-create.03.
122 reference(s)		106-VirtualChaos.01.Fra
122 reference(s)
107-Fractal.02
122 reference(s)		108-Exposition_OperaDeMassy_201912_202001
122 reference(s)
109-OrdinateurMathematiquesArt.01.Fra
120 reference(s)		110-VisualisationRelief.01.vv.Fra
119 reference(s)
111-RemarquesCerveau.01
119 reference(s)		112-MiseEnSceneDesNombres.01.vv.Fra
119 reference(s)
113-ManyChaos.01.Ang
119 reference(s)		114-EnsembleDesGaleries.DIAPO.0001
119 reference(s)
115-MathematiquesLangageDuGrandLivreDeLaNature.12
118 reference(s)		116-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
118 reference(s)
117-Commentaires_DefinitionPseudoQuaternions.01
117 reference(s)		118-An2000.04.Fra
117 reference(s)
119-VisitesGaleriesEnfouies.01.Ang
116 reference(s)		120-Informations_GoodNewsAndBadNews.01.Fra
116 reference(s)
121-Exposition_EcolePolytechnique_FeteDeLaScience_201810
116 reference(s)		122-ExpV_VirE.Ang
116 reference(s)
123-EnsembleDesGaleriesFractales.DIAPO.0001
116 reference(s)		124-AvantPropos.01.Ang
116 reference(s)
125-An2000.06.Fra
116 reference(s)		126-VirtualChaos.01.Ang
115 reference(s)
127-Notations_AppartientA.01
115 reference(s)		128-MathematiquesModeleOutilArtiste.02.Ang
115 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.