Monthly Best Of on 10/28/2018




Synthesis of bidimensional geometrical textures

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 10/28/2018 and last updated on 10/03/2024 17:03:45 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



A fractal vegetal structure
1-625 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
2-299 reference(s)		The random walk of photons escaping the Sun
3-247 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
4-181 reference(s)
Erosion of a bidimensional random (with small and large scale correlations)medium
5-178 reference(s)		Happy new year 2000
6-177 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
7-176 reference(s)		Autostereogram with an hidden volcano
8-173 reference(s)
The Lorenz attractor
9-171 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
10-139 reference(s)		The random walk of photons escaping the Sun
11-136 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
12-130 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
13-128 reference(s)		Hypercube
14-121 reference(s)		Pseudo Olympic Rings
15-110 reference(s)		Artistic view of the prime numbers
16-105 reference(s)
Gravitation and space-time curvature
17-103 reference(s)		Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
18-99 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
19-93 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
20-91 reference(s)
Bidimensional Hilbert Curve -iteration 4-
21-87 reference(s)		The Bonan-Jeener-Klein triple bottle
22-79 reference(s)		Autostereogram with an hidden volcano
23-73 reference(s)		The Jeener-Klein triple bottle
24-69 reference(s)
The generalized Ulam spiral
25-67 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
26-64 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
27-59 reference(s)		The bidimensional John Conway's life game
28-56 reference(s)
The random walk of photons escaping the Sun
29-54 reference(s)		Untitled 0267 -a Tribute to Piet Mondrian-
30-54 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-
31-49 reference(s)		From geocentrism to 'Neptune-centrism' -a Tribute to Nicolas Copernic-
32-49 reference(s)
A fractal Möbius strip
33-49 reference(s)		A fractal vegetal structure -'the Knowledge Tree'-
34-48 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
35-48 reference(s)		Portrait (Lena)-with a 'OY' symmetry-
36-48 reference(s)
From 'geocentrism' to 'heliocentrism'
37-47 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
38-45 reference(s)		The Sierpinski Carpet -iteration 1 to 5-
39-44 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
40-44 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
41-42 reference(s)		The Menger Sponge -iteration 5-
42-42 reference(s)		Sixteen interlaced fractal torus
43-42 reference(s)		An Archimedes spiral displaying 5000 numbers
44-40 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
45-40 reference(s)		The Universe at the heart of a Calabi-Yau manifold
46-38 reference(s)		The Möbius strip
47-38 reference(s)		Tridimensional zoom in on the Mandelbrot set
48-38 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
49-38 reference(s)		Bidimensional geometrical texture animation
50-37 reference(s)		A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
51-37 reference(s)		A fractal Klein bottle
52-37 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
53-36 reference(s)		Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
54-36 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
55-36 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
56-36 reference(s)
Tridimensional Hilbert Curve -iteration 3-
57-36 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
58-36 reference(s)		Quantum vacuum fluctuations
59-35 reference(s)		Two multiplexed autostereograms by means of a pi/2 rotation
60-35 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
61-35 reference(s)		Tridimensional texture animation by means of the Generalized Product
62-35 reference(s)		Bidimensional texture animation by means of the Generalized Product
63-35 reference(s)		From Mars to the Sun
64-35 reference(s)
The 64 first lines of the Pascal's Triangle -modulo 7-
65-34 reference(s)		The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
66-34 reference(s)		A spherical cross-section inside the Menger Sponge -iteration 5-
67-34 reference(s)		The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
68-34 reference(s)
An aperiodic Penrose tiling of the Golden Decagon
69-32 reference(s)		Autostereogram with an hidden volcano
70-31 reference(s)		A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -100.000 digits, -base 10- into 050330... -128.508 digits, base 6-
71-31 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
72-30 reference(s)
The Sierpinski Carpet -iteration 5-
73-30 reference(s)		An Archimedes spiral displaying 100000 numbers
74-30 reference(s)		A fractal aperiodic Penrose tiling
75-30 reference(s)		Fractal natural form
76-28 reference(s)
Metropolis -a Tribute to Fritz Lang-
77-28 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
78-28 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
79-28 reference(s)		Anaglyph -blue=right, red=left- of a fractal hypercube
80-27 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
81-26 reference(s)		Untitled 0282
82-25 reference(s)		The Lorenz attractor
83-25 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
84-25 reference(s)
Untitled 0269 -a Tribute to Piet Mondrian-
85-25 reference(s)		About the length of the von Koch curve
86-24 reference(s)		The pseudo-sphere
87-24 reference(s)		The Solar System with a dark blue virtual planet -heliocentric point of view-
88-24 reference(s)
Pi rotation about the Y axis of pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) -tridimensional cross-section-
89-24 reference(s)		Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 637.312 galaxies)obtained by means of a non deterministic fractal process
90-24 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
91-23 reference(s)		A pay slip
92-22 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
93-22 reference(s)		True colors autostereogram of a fractal landscape
94-22 reference(s)		Untitled 0278
95-22 reference(s)		Autostereogram with an hidden volcano
96-21 reference(s)
The Sierpinski Carpet -iteration 3-
97-21 reference(s)		A punched paper tape
98-21 reference(s)		Fractal natural form
99-21 reference(s)		Monument Valley at sunrise
100-21 reference(s)
A truncated quadrimensional Calabi-Yau manifold with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
101-21 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
102-20 reference(s)		An aperiodic Penrose tiling of the plane
103-20 reference(s)		Quark and gluon structure of a nucleon
104-20 reference(s)
An amazing cross-section inside the Menger Sponge -iteration 5-
105-20 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
106-20 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
107-20 reference(s)		Quantum vacuum fluctuations
108-19 reference(s)
An aperiodic Penrose tiling of the plane
109-19 reference(s)		Monument Valley à la David Hockney
110-19 reference(s)		The intersection of the Menger Sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation-
111-19 reference(s)		A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
112-19 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
113-19 reference(s)		A tridimensionally distorded aperiodic Penrose tiling of the plane
114-18 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
115-18 reference(s)		A quaternionic Julia set -tridimensional cross-section-
116-18 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
117-18 reference(s)		Fractal 7-foil torus knot
118-18 reference(s)		The Jeener-Klein triple bottle
119-18 reference(s)		The tower -a Tribute to Vladimir Tatline-
120-18 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
121-17 reference(s)		Autostereogram with an hidden ring and ghost bows
122-17 reference(s)		The generalized Ulam spiral displaying 1024 numbers
123-17 reference(s)		Tridimensional display of the inflationary Universe
124-17 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
125-17 reference(s)		Tridimensional fractal cross -iteration 5-
126-17 reference(s)		Heterogeneous -tridimensional fractal field- random meshing of a cube
127-17 reference(s)		The Klein bottle
128-17 reference(s)




2-The 128 most referenced Pages (*):

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



1-Vcatalogue.11
5036 reference(s)		2-ImagesDuVirtuel.01.Fra
1213 reference(s)
3-An2000.01.Fra
1079 reference(s)		4-ImagesDuVirtuel.01.Fra.FV
960 reference(s)
5-demo_14
933 reference(s)		6-An2000.01.Ang
730 reference(s)
7-ComplexiteStructurelleClassements.11
538 reference(s)		8-MathematiquesPhysiqueFractales.22
461 reference(s)
9-help.
439 reference(s)		10-ExpV_VirE.Fra
439 reference(s)
11-present.01.
426 reference(s)		12-Galerie_DeterministicFractalGeometry.FV
402 reference(s)
13-MorePages.
399 reference(s)		14-AVirtualSpaceTimeTravelMachine.Ang
386 reference(s)
15-Galerie_NumberTheory.FV
377 reference(s)		16-Galerie_GeneralitiesVisualization.FV
377 reference(s)
17-GenieLogiciel.01.Fra
346 reference(s)		18-Informations_GoodNewsAndBadNews.01.Fra
317 reference(s)
19-Galerie_NumberTheory
316 reference(s)		20-Fractal.11
309 reference(s)
21-Galerie_DeterministicFractalGeometry
301 reference(s)		22-GenieLogiciel_VisualisationScientifique.01.vv
295 reference(s)
23-Informations_GoodNewsAndBadNews.01.Ang
287 reference(s)		24-Galerie_ArtisticCreation.FV
286 reference(s)
25-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
278 reference(s)		26-create.03.
275 reference(s)
27-DieuScience.01.Fra
272 reference(s)		28-VisSci_SciVis.02
259 reference(s)
29-Galerie_ParticleSystems.FV
259 reference(s)		30-LesApprentisDieux.01
252 reference(s)
31-MathematiquesModeleOutilArtiste.02.Ang
251 reference(s)		32-GenieLogiciel.01.Ang
250 reference(s)
33-AnimFractal.01.
236 reference(s)		34-DuModeleALImage.02.Fra
233 reference(s)
35-Stereogrammes_AutoStereogrammes.01
223 reference(s)		36-OrdinateurMathematiquesArt.01.Fra
223 reference(s)
37-Fractal.01
220 reference(s)		38-Autostereograms.01.
217 reference(s)
39-RealNumbers.01.Fra
216 reference(s)		40-subject.01.
214 reference(s)
41-SurfaceProjector.01.Fra
207 reference(s)		42-FloatingPointNumbers.01.Fra
202 reference(s)
43-Galerie_DeterministicChaos.FV
196 reference(s)		44-demo_14.FV
194 reference(s)
45-Galerie_GeneralitiesVisualization
193 reference(s)		46-LOG_xiMc.11
192 reference(s)
47-NDimensionalDeterministicFractalSets.01.Fra
191 reference(s)		48-Fractal.21
188 reference(s)
49-OrdinateursEtCalculs.01.Ang
185 reference(s)		50-ExpV_VirE.11
184 reference(s)
51-Galerie_ImagesDesMathematiques.FV
181 reference(s)		52-Galerie_ParticleSystems
177 reference(s)
53-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
176 reference(s)		54-Galerie_Astrophysics.FV
172 reference(s)
55-MathematiquesPhysiqueFractales.02
171 reference(s)		56-Galerie_ArtisticCreation
170 reference(s)
57-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
168 reference(s)		58-SurfaceProjector.01.Ang
167 reference(s)
59-Commentaires_NKleinBottle.01
167 reference(s)		60-demo
163 reference(s)
61-Galerie_NewPictures.FV
163 reference(s)		62-nombresreels
162 reference(s)
63-Galerie_QuantumMechanics.FV
161 reference(s)		64-Galerie_ArtAndScience.FV
161 reference(s)
65-FaireDeLaRecherche.01.vv
161 reference(s)		66-Spheres.01
160 reference(s)
67-demo14
157 reference(s)		68-MonodimensionalCellularAutomata.01.Fra
157 reference(s)
69-Galerie_CelestialMechanics
157 reference(s)		70-genielogiciel
156 reference(s)
71-Galerie_SensitivityToRoundingOffErrors.FV
156 reference(s)		72-demo.14
155 reference(s)
73-an2000
155 reference(s)		74-UlamSpiral.01.Fra
155 reference(s)
75-EntrelacsIntertwinings.01.Fra
155 reference(s)		76-AVirtualSpaceTimeTravelMachine.Fra.FV
155 reference(s)
77-realnumbers
153 reference(s)		78-logiciel
153 reference(s)
79-NDimensionalDeterministicFractalSets.01.Ang
153 reference(s)		80-EntrelacsIntertwinings.01.Ang
152 reference(s)
81-DuModeleALImage.01.Fra
152 reference(s)		82-Kepler.02.
151 reference(s)
83-AProposSite.01.Fra
151 reference(s)		84-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
150 reference(s)
85-Galerie_CelestialMechanics.FV
150 reference(s)		86-FaireDesMathematiques.01.Fra
150 reference(s)
87-AVirtualSpaceTimeTravelMachine.Fra
150 reference(s)		88-GoldenTriangle.01.Fra
149 reference(s)
89-mail.01.vv
148 reference(s)		90-Galerie_TextureSynthesis.FV
148 reference(s)
91-FloatingPointNumbers.01.Ang
148 reference(s)		92-copyright.01.
147 reference(s)
93-Galerie_BestOf.FV
144 reference(s)		94-Galerie_FluidMechanics.FV
143 reference(s)
95-ArtScience.01
142 reference(s)		96-VisSci_SciVis.01
141 reference(s)
97-Galerie_Tributes.FV
141 reference(s)		98-Galerie_SignalProcessing.FV
141 reference(s)
99-ExpV_VirE.21
141 reference(s)		100-Galerie_DeterministicChaos
140 reference(s)
101-AQuoiServentLesMathematiques.01
140 reference(s)		102-NatureDesMathematiques.01.vv.Fra
139 reference(s)
103-MathematiquesPhysiqueFractales.12
138 reference(s)		104-AVirtualSpaceTimeTravelMachine.Ang.FV
138 reference(s)
105-infinity.01.vv
134 reference(s)		106-NombresEtLumiere.01.vv.Fra
134 reference(s)
107-DuReelAuVirtuel.01.Fra
134 reference(s)		108-OrdinateursEtCalculs.01.Fra
132 reference(s)
109-ExpV_VirE.Ang
131 reference(s)		110-PerteDeLAssociativite.01
129 reference(s)
111-VisualisationRelief.01.vv.Fra
126 reference(s)		112-Informations_AboutPicturesAnimationsAndFiles.01.Ang
126 reference(s)
113-Fractal.03
126 reference(s)		114-Galerie_ArtAndScience
125 reference(s)
115-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
125 reference(s)		116-catalogue.11
123 reference(s)
117-MonodimensionalCellularAutomata.01.Ang
123 reference(s)		118-DecimalesPi_100000.vv
123 reference(s)
119-MathematiquesPhysiqueFractales.01
121 reference(s)		120-ManyChaos.01.Ang
120 reference(s)
121-Fractal.02
119 reference(s)		122-IllusionConnaissance.02
118 reference(s)
123-PerteDeLAssociativite.01.MUL3
117 reference(s)		124-MathematiquesPhysiqueFractales.02.1
117 reference(s)
125-AProposSite.01.Ang
117 reference(s)		126-RemarquesCerveau.01
116 reference(s)
127-DecimalesPi_1_100.vv
116 reference(s)		128-UlamSpiral.01.Ang
115 reference(s)

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Copyright © Jean-François COLONNA, 2018-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2018-2024.