Monthly Best Of on 02/28/2018




Synthesis of bidimensional texture by means of the Fourier filtering of a random process and a self-transformation

Jean-François COLONNA

www.lactamme.polytechnique.fr

jean-francois.colonna@polytechnique.edu
CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, Ecole Polytechnique, CNRS, 91128 Palaiseau Cedex, France

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Contents of this page:


1-The 128 most referenced Pictures (*):

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



Hypercube
1-442 reference(s)
Autostereogram with an hidden volcano
2-365 reference(s)
The random walk of photons escaping the Sun
3-307 reference(s)
Happy new year 2000
4-255 reference(s)
Autostereogram with an hidden volcano
5-210 reference(s)
Bidimensional Hilbert Curve -iteration 4-
6-209 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
7-206 reference(s)
Autostereogram with an hidden volcano
8-203 reference(s)
Pseudo Olympic Rings
9-190 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
10-182 reference(s)
The generalized Ulam spiral
11-179 reference(s)
Erosion of a bidimensional random (with small and large scale correlations)medium
12-174 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
13-173 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
14-139 reference(s)
The Sierpinski carpet -iteration 5-
15-133 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
16-129 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
17-111 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
18-108 reference(s)
The Bonan-Jeener's triple Klein bottle
19-102 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
20-102 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
21-100 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
22-95 reference(s)
The bidimensional John Conway's life game
23-90 reference(s)
Artistic view of the prime numbers
24-89 reference(s)
The random walk of photons escaping the Sun
25-85 reference(s)
The Jeener's triple Klein bottle
26-84 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
27-73 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
28-67 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
29-66 reference(s)
Autostereogram with an hidden volcano
30-63 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
31-62 reference(s)
A pseudo-periodical Penrose tiling of the plane
32-60 reference(s)
Quantum vacuum fluctuations
33-59 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
34-59 reference(s)
The self-similarity of the von Koch curve displayed by means of a zoom in with a ratio that is equal to 3
35-55 reference(s)
The random walk of photons escaping the Sun
36-53 reference(s)
Sixteen interlaced fractal torus
37-50 reference(s)
The first four iterations of the construction of the von Koch snowflake
38-49 reference(s)
Some of the most beautiful fractal pictures
39-49 reference(s)
Fractal natural form
40-48 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
41-46 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
42-46 reference(s)
The Universe at the heart of a Calabi-Yau manifold
43-45 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
44-45 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
45-44 reference(s)
A 'bidimensional epicycloïdal' pseudo-torus
46-44 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
47-42 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-
48-42 reference(s)
From Mars to the Sun
49-42 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
50-41 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
51-41 reference(s)
An Archimedes spiral displaying 100000 numbers
52-41 reference(s)
A fractal Möbius strip
53-41 reference(s)
Bidimensional geometrical texture animation
54-40 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
55-40 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
56-40 reference(s)
Tridimensional texture animation by means of the Generalized Product
57-40 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
58-40 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
59-39 reference(s)
True colors autostereogram of a fractal landscape
60-39 reference(s)
The Möbius strip
61-39 reference(s)
Tridimensional zoom in on the Mandelbrot set
62-39 reference(s)
A fractal Klein bottle
63-39 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
64-38 reference(s)
Bidimensional texture animation by means of the Generalized Product
65-38 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
66-38 reference(s)
A perfect bidimensional fractal tree and the self-similarity
67-36 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
68-36 reference(s)
Monument Valley à la David Hockney
69-36 reference(s)
The Menger sponge -iteration 5-
70-35 reference(s)
A pseudo-periodical Penrose tiling of the plane
71-34 reference(s)
Fractal natural form
72-34 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
73-34 reference(s)
A fractal vegetal structure
74-33 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
75-33 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
76-32 reference(s)
The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
77-32 reference(s)
The Lorenz attractor
78-32 reference(s)
An Archimedes spiral displaying 10000 numbers
79-31 reference(s)
Quark and gluon structure of a nucleon
80-31 reference(s)
A quaternionic Julia set -tridimensional cross-section-
81-31 reference(s)
A fractal pseudo-periodical Penrose tiling
82-31 reference(s)
Autostereogram with an hidden ring and ghost bows
83-30 reference(s)
Autostereogram of Monument Valley
84-30 reference(s)
Tridimensional Hilbert Curve -iteration 3-
85-29 reference(s)
Light cloud dynamics -this sequence being periodical-
86-28 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
87-28 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
88-28 reference(s)
The Jeener's triple Klein bottle
89-28 reference(s)
A pseudo-periodical Penrose tiling of the plane
90-27 reference(s)
A pseudo-periodical Penrose tiling of the plane
91-26 reference(s)
Tridimensional display of a pseudo-periodical Penrose tiling of the plane with a fractal noise
92-26 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
93-26 reference(s)
The Boy surface
94-26 reference(s)
About the length of the von Koch curve
95-25 reference(s)
Bidimensional zoom in on the Mandelbrot set
96-25 reference(s)
Autostereogram with an hidden ring and ghost bows
97-24 reference(s)
Monument Valley à la David Hockney
98-24 reference(s)
From 'geocentrism' to 'heliocentrism'
99-24 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
100-24 reference(s)
The tower -a tribute to Vladimir Tatline-
101-24 reference(s)
The construction process of the von Koch curve -the starting point: a segment-
102-23 reference(s)
Quark and gluon structure of a nucleon
103-23 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
104-23 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
105-23 reference(s)
The first four iterations of the construction of the von Koch snowflake
106-22 reference(s)
A pseudo-periodical non linear Penrose tiling of the plane
107-22 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
108-22 reference(s)
From Pluto to the Sun (non linear scales)
109-22 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
110-22 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
111-21 reference(s)
The Boy surface
112-21 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
113-21 reference(s)
Bidimensional zoom in on the Mandelbrot set
114-21 reference(s)
Fractal 7-foil torus knot
115-21 reference(s)
A fractal Möbius strip
116-21 reference(s)
From the infinitely small to the infinitely big
117-21 reference(s)
The pseudo-sphere -a Tribute to Jacques Cartier-
118-20 reference(s)
Fractal structure of a nucleon
119-20 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
120-20 reference(s)
A half-random extended Menger sponge -iteration 5-
121-20 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
122-20 reference(s)
The dynamics of the diffusion process in a bidimensional medium obtained by means of a random walk process
123-20 reference(s)
Where is the Multiverse?
124-19 reference(s)
Artistic view of the Big Bang
125-19 reference(s)
A tridimensionally distorded pseudo-periodical Penrose tiling of the Golden Decagon
126-19 reference(s)
Autostereogram with an hidden volcano
127-19 reference(s)
A punched paper tape
128-19 reference(s)




2-The 128 most referenced Pages (*):

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



1-Vcatalogue.11
2831 reference(s)
2-demo_14
1260 reference(s)
3-An2000.01.Ang
671 reference(s)
4-ExpV_VirE.Fra
633 reference(s)
5-Galerie_DeterministicFractalGeometry.FV
601 reference(s)
6-An2000.01.Fra
528 reference(s)
7-create.03.
497 reference(s)
8-present.01.
494 reference(s)
9-ComplexiteStructurelleClassements.11
489 reference(s)
10-MorePages.
467 reference(s)
11-help.
408 reference(s)
12-DieuScience.01.Fra
391 reference(s)
13-AVirtualSpaceTimeTravelMachine.Ang
390 reference(s)
14-Autostereograms.01.
389 reference(s)
15-subject.01.
384 reference(s)
16-DuModeleALImage.02.Fra
383 reference(s)
17-Fractal.21
379 reference(s)
18-MathematiquesModeleOutilArtiste.02.Ang
372 reference(s)
19-Galerie_DeterministicChaos.FV
363 reference(s)
20-Fractal.11
362 reference(s)
21-AnimFractal.01.
348 reference(s)
22-mail.01.vv
342 reference(s)
23-Galerie_GeneralitiesVisualization.FV
342 reference(s)
24-LesApprentisDieux.01
333 reference(s)
25-RealNumbers.01.Fra
330 reference(s)
26-FloatingPointNumbers.01.Fra
327 reference(s)
27-Stereogrammes_AutoStereogrammes.01
326 reference(s)
28-Fractal.01
320 reference(s)
29-Galerie_NumberTheory.FV
318 reference(s)
30-OrdinateurMathematiquesArt.01.Fra
309 reference(s)
31-NombresEtLumiere.01.vv.Fra
308 reference(s)
32-MathematiquesPhysiqueFractales.02
307 reference(s)
33-FaireDeLaRecherche.01.vv
307 reference(s)
34-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
307 reference(s)
35-FloatingPointNumbers.01.Ang
303 reference(s)
36-Galerie_QuantumMechanics.FV
302 reference(s)
37-Galerie_SensitivityToRoundingOffErrors.FV
301 reference(s)
38-Galerie_ArtisticCreation.FV
300 reference(s)
39-AVirtualSpaceTimeTravelMachine.Fra
297 reference(s)
40-NatureDesMathematiques.01.vv.Fra
295 reference(s)
41-FaireDesMathematiques.01.Fra
293 reference(s)
42-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
292 reference(s)
43-Galerie_NewPictures.FV
292 reference(s)
44-ImagesDuVirtuel.01.Fra
291 reference(s)
45-GoldenTriangle.01.Fra
289 reference(s)
46-Galerie_Astrophysics.FV
289 reference(s)
47-GenieLogiciel.01.Fra
288 reference(s)
48-Galerie_DeterministicFractalGeometry
287 reference(s)
49-UlamSpiral.01.Fra
286 reference(s)
50-AProposSite.01.Fra
286 reference(s)
51-Kepler.02.
284 reference(s)
52-copyright.01.
283 reference(s)
53-SurfaceProjector.01.Fra
282 reference(s)
54-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
281 reference(s)
55-NDimensionalDeterministicFractalSets.01.Fra
278 reference(s)
56-MonodimensionalCellularAutomata.01.Fra
274 reference(s)
57-MathematiquesPhysiqueFractales.22
272 reference(s)
58-ArtScience.01
271 reference(s)
59-Galerie_ArtAndScience.FV
270 reference(s)
60-Spheres.01
269 reference(s)
61-Galerie_ParticleSystems.FV
267 reference(s)
62-Galerie_CelestialMechanics.FV
267 reference(s)
63-EntrelacsIntertwinings.01.Ang
265 reference(s)
64-Fractal.03
264 reference(s)
65-Galerie_SignalProcessing.FV
263 reference(s)
66-VisualisationRelief.01.vv.Fra
261 reference(s)
67-SurfaceProjector.01.Ang
260 reference(s)
68-EntrelacsIntertwinings.01.Fra
260 reference(s)
69-GenieLogiciel.01.Ang
257 reference(s)
70-LOG_xiMc.11
255 reference(s)
71-ExpV_VirE.11
255 reference(s)
72-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
252 reference(s)
73-IllusionConnaissance.02
250 reference(s)
74-catalogue.11
249 reference(s)
75-Galerie_FluidMechanics.FV
249 reference(s)
76-ManyChaos.01.Fra
247 reference(s)
77-MonodimensionalCellularAutomata.01.Ang
243 reference(s)
78-UlamSpiral.01.Ang
242 reference(s)
79-NDimensionalDeterministicFractalSets.01.Ang
241 reference(s)
80-ManyChaos.01.Ang
240 reference(s)
81-Galerie_Tributes.FV
239 reference(s)
82-OrdinateursEtCalculs.01.Fra
238 reference(s)
83-infinity.01.vv
237 reference(s)
84-Galerie_ParticleSystems
237 reference(s)
85-Galerie_BestOf.FV
237 reference(s)
86-VisSci_SciVis.01
236 reference(s)
87-MiseEnSceneDesNombres.01.vv.Fra
233 reference(s)
88-VisitesGaleriesEnfouies.01.Fra
232 reference(s)
89-RasoirDOccamEtMathematiques.01.vv.Fra
232 reference(s)
90-ImpossibleStructures.01.Ang
232 reference(s)
91-PerteDeLAssociativite.01
231 reference(s)
92-ImagesDuVirtuel.01.Fra.FV
231 reference(s)
93-VirtualChaos.01.Fra
230 reference(s)
94-RemarquesCerveau.01
230 reference(s)
95-ExpV_VirE.Ang
229 reference(s)
96-Informations_GoodNewsAndBadNews.01.Ang
227 reference(s)
97-GoldenTriangle.01.Ang
227 reference(s)
98-RasoirDOccamEtMathematiques.01.vv.Ang
226 reference(s)
99-infinity.02.vv
225 reference(s)
100-VisitesGaleriesEnfouies.01.Ang
225 reference(s)
101-VirtualChaos.01.Ang
225 reference(s)
102-Fractal.02
225 reference(s)
103-QuelquesQuestionsSurLaRecherche.01.Fra
224 reference(s)
104-OrdinateursEtCalculs.01.Ang
224 reference(s)
105-EnsembleDesGaleriesFractales.DIAPO.0001
224 reference(s)
106-MathematiquesLangageDuGrandLivreDeLaNature.12
223 reference(s)
107-MathematiquesEtRepresentations.01.vv.Ang
223 reference(s)
108-ImpossibleStructures.01.Fra
222 reference(s)
109-AvantPropos.01.Fra
220 reference(s)
110-AVirtualSpaceTimeTravelMachine.Ang.FV
220 reference(s)
111-PatrimoineHumanite.02.Fra
217 reference(s)
112-GenieLogiciel_VisualisationScientifique.01.vv
217 reference(s)
113-Galerie_TextureSynthesis.FV
217 reference(s)
114-EnsembleDesGaleries.DIAPO.0001
216 reference(s)
115-MiseEnSceneDesNombres.01.vv.Ang
215 reference(s)
116-MathematiquesEtCinematographe.01.vv
215 reference(s)
117-AvantPropos.01.Ang
214 reference(s)
118-Tcatalogue.11
213 reference(s)
119-Informations_AboutPicturesAnimationsAndFiles.01.Ang
204 reference(s)
120-Galerie_NumbersAndLight.FV
202 reference(s)
121-Pcatalogue.11
199 reference(s)
122-AQuoiServentLesMathematiques.01
190 reference(s)
123-Galerie_ImagesDesMathematiques.FV
189 reference(s)
124-demo_14.FV
188 reference(s)
125-NombresEtLumiere.02.vv.Ang
185 reference(s)
126-Galerie_CelestialMechanics
183 reference(s)
127-ArithmetiqueEtOrdinateur.01.vv.Fra
182 reference(s)
128-MathematiquesPhysiqueFractales.12
180 reference(s)

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Copyright (c) Jean-François Colonna, 2018-2019.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2018-2019.