Monthly Best Of on 05/28/2017




Self-transformation of an arbitrary geometrical texture

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:



Hypercube
1-346 reference(s)
Bidimensional Hilbert Curve -iteration 4-
2-321 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
3-275 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-262 reference(s)
Happy new year 2000
5-251 reference(s)
Heterogeneous meshing of a square
6-207 reference(s)
Erosion of a bidimensional random (with small and large scale correlations)medium
7-189 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
8-186 reference(s)
Autostereogram with an hidden volcano
9-169 reference(s)
Autostereogram with an hidden volcano
10-161 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
11-161 reference(s)
Autostereogram with an hidden ring and ghost bows
12-127 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
13-125 reference(s)
The random walk of photons escaping the Sun
14-123 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
15-122 reference(s)
The Bonan-Jeener's triple Klein bottle
16-110 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
17-109 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
18-102 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
19-102 reference(s)
The random walk of photons escaping the Sun
20-95 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
21-91 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
22-82 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
23-80 reference(s)
The generalized Ulam spiral
24-80 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
25-77 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
26-71 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
27-71 reference(s)
Artistic view of the prime numbers
28-65 reference(s)
The first four iterations of the construction of the von Koch snowflake
29-61 reference(s)
Quantum vacuum fluctuations
30-57 reference(s)
The bidimensional John Conway's life game
31-57 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
32-56 reference(s)
A pseudo-periodical Penrose tiling of the plane
33-55 reference(s)
Fractal natural form
34-53 reference(s)
Sixteen interlaced fractal torus
35-50 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
36-50 reference(s)
Autostereogram with an hidden volcano
37-49 reference(s)
The Universe at the heart of a Calabi-Yau manifold
38-48 reference(s)
The Jeener's triple Klein bottle
39-47 reference(s)
The random walk of photons escaping the Sun
40-43 reference(s)
Autostereogram with an hidden ring and ghost bows
41-42 reference(s)
Wavelet transform of a bidimensional fractal field
42-41 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
43-41 reference(s)
Fractal structure of a nucleon
44-39 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
45-38 reference(s)
From Mars to the Sun
46-38 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
47-37 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
48-37 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-
49-37 reference(s)
Bidimensional geometrical texture animation
50-36 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
51-36 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
52-36 reference(s)
Tridimensional texture animation by means of the Generalized Product
53-36 reference(s)
Bidimensional texture animation by means of the Generalized Product
54-36 reference(s)
The end of the World
55-36 reference(s)
The Möbius strip
56-36 reference(s)
The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
57-36 reference(s)
Tridimensional zoom in on the Mandelbrot set
58-36 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
59-36 reference(s)
Tridimensional display of the Riemann Zeta function inside (+0.1,+0.9)x(0,+50)
60-35 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
61-35 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
62-35 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
63-35 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
64-35 reference(s)
Autostereogram with an hidden volcano
65-34 reference(s)
Pseudo Olympic Rings
66-34 reference(s)
True colors autostereogram of a fractal landscape
67-34 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
68-34 reference(s)
Tridimensional display of the inflationary Universe
69-33 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
70-32 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
71-32 reference(s)
Tridimensional Hilbert Curve -iteration 3-
72-31 reference(s)
Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
73-30 reference(s)
Quark and gluon structure of a nucleon
74-29 reference(s)
Quark and gluon structure of a nucleon
75-29 reference(s)
Fractal natural form
76-28 reference(s)
A pseudo-periodical Penrose tiling of the plane
77-27 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
78-27 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
79-27 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+20.0)x(-15.0,+15.0) (bird's-eye view)
80-26 reference(s)
A perfect bidimensional fractal tree and the self-similarity
81-26 reference(s)
An Archimedes spiral displaying 10000 numbers
82-26 reference(s)
Autostereogram of Monument Valley
83-26 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
84-25 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
85-24 reference(s)
N-body problem integration (N=10)displaying the actual Solar System
86-24 reference(s)
Anaglyph -blue=right, red=left- of a fractal hypercube
87-24 reference(s)
The first four iterations of the construction of the von Koch snowflake
88-23 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
89-23 reference(s)
A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
90-23 reference(s)
Autostereogram with an hidden volcano
91-22 reference(s)
A tridimensional cubic mesh with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
92-22 reference(s)
Close-up on a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
93-22 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
94-21 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
95-21 reference(s)
From 'geocentrism' to 'heliocentrism'
96-21 reference(s)
A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
97-21 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
98-20 reference(s)
No Title 0242
99-20 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
100-20 reference(s)
No Title 0261
101-20 reference(s)
The Klein bottle
102-20 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed with 2 different optimization options on the same computer (sensitivity to rounding-off errors)
103-19 reference(s)
The Lorenz attractor
104-19 reference(s)
The Jeener's triple Klein bottle
105-19 reference(s)
No Title 0263
106-18 reference(s)
No Title 0262
107-18 reference(s)
The Klein bottle
108-18 reference(s)
Bidimensional zoom in on the Mandelbrot set
109-18 reference(s)
The 64 first lines of the Pascal's Triangle
110-17 reference(s)
An Archimedes spiral displaying 100000 numbers
111-17 reference(s)
An Archimedes spiral displaying 5000 numbers
112-17 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
113-17 reference(s)
From Pluto to the Sun -extrapolation 1- (non linear scales)
114-17 reference(s)
Rotation about the X axis of the Lorenz attractor
115-17 reference(s)
The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
116-17 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0)
117-16 reference(s)
Generation of the 63 first Conway's surreal numbers
118-16 reference(s)
A truncated tridimensional sphere with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
119-16 reference(s)
A truncated tridimensional sphere with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
120-16 reference(s)
The Boy surface
121-16 reference(s)
A tridimensional cubic mesh with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
122-16 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
123-16 reference(s)
Fractal synthesis of mountains and clouds
124-16 reference(s)
From Pluto to the Sun -extrapolation 2-
125-16 reference(s)
Tridimenional display of the Goldbach conjecture
126-16 reference(s)
An helix on a 'tridimensional epicycloïdal' pseudo-torus
127-16 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
128-16 reference(s)




2-The 128 most referenced Pages:



1-demo_14
898 reference(s)
2-AVirtualSpaceTimeTravelMachine.Ang
520 reference(s)
3-An2000.01.Fra
453 reference(s)
4-Vcatalogue.11
331 reference(s)
5-ComplexiteStructurelleClassements.11
320 reference(s)
6-help.
318 reference(s)
7-Stereogrammes_AutoStereogrammes.01
318 reference(s)
8-Galerie_GeneralitiesVisualization.FV
286 reference(s)
9-Fractal.01
277 reference(s)
10-mail.01.vv
264 reference(s)
11-Galerie_NumberTheory.FV
259 reference(s)
12-MorePages.
256 reference(s)
13-AVirtualSpaceTimeTravelMachine.Fra
254 reference(s)
14-RealNumbers.01.Fra
253 reference(s)
15-GenieLogiciel_VisualisationScientifique.01.vv
252 reference(s)
16-AProposSite.01.Fra
238 reference(s)
17-FloatingPointNumbers.01.Fra
237 reference(s)
18-copyright.01.
234 reference(s)
19-MathematiquesPhysiqueFractales.02
232 reference(s)
20-Galerie_ArtisticCreation.FV
231 reference(s)
21-Galerie_ArtAndScience.FV
224 reference(s)
22-Galerie_BestOf.FV
223 reference(s)
23-Galerie_QuantumMechanics.FV
219 reference(s)
24-Galerie_DeterministicFractalGeometry.FV
219 reference(s)
25-FaireDeLaRecherche.01.vv
218 reference(s)
26-AnimFractal.01.
215 reference(s)
27-GoldenTriangle.01.Fra
214 reference(s)
28-Galerie_ParticleSystems.FV
214 reference(s)
29-ExpV_VirE.11
214 reference(s)
30-SurfaceProjector.01.Ang
213 reference(s)
31-FloatingPointNumbers.01.Ang
213 reference(s)
32-SurfaceProjector.01.Fra
212 reference(s)
33-NombresEtLumiere.01.vv.Fra
212 reference(s)
34-Galerie_Astrophysics.FV
212 reference(s)
35-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
210 reference(s)
36-Informations_GoodNewsAndBadNews.01.Fra
209 reference(s)
37-Galerie_NewPictures.FV
208 reference(s)
38-Galerie_CelestialMechanics.FV
207 reference(s)
39-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
205 reference(s)
40-Fractal.11
205 reference(s)
41-NDimensionalDeterministicFractalSets.01.Ang
204 reference(s)
42-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
204 reference(s)
43-DieuScience.01.Fra
202 reference(s)
44-Galerie_FluidMechanics.FV
199 reference(s)
45-Galerie_DeterministicChaos.FV
199 reference(s)
46-LOG_xiMc.11
197 reference(s)
47-EntrelacsIntertwinings.01.Fra
197 reference(s)
48-catalogue.11
196 reference(s)
49-Galerie_SignalProcessing.FV
196 reference(s)
50-EntrelacsIntertwinings.01.Ang
196 reference(s)
51-NDimensionalDeterministicFractalSets.01.Fra
195 reference(s)
52-MathematiquesPhysiqueFractales.22
195 reference(s)
53-ImpossibleStructures.01.Ang
194 reference(s)
54-UlamSpiral.01.Fra
192 reference(s)
55-GenieLogiciel.01.Fra
192 reference(s)
56-OrdinateursEtCalculs.01.Fra
189 reference(s)
57-FaireDesMathematiques.01.Fra
189 reference(s)
58-GoldenTriangle.01.Ang
187 reference(s)
59-Fractal.03
187 reference(s)
60-DuModeleALImage.02.Fra
187 reference(s)
61-infinity.01.vv
186 reference(s)
62-NatureDesMathematiques.01.vv.Fra
186 reference(s)
63-ImagesDuVirtuel.01.Fra.FV
185 reference(s)
64-Kepler.02.
184 reference(s)
65-ImpossibleStructures.01.Fra
184 reference(s)
66-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
182 reference(s)
67-AQuoiServentLesMathematiques.01
182 reference(s)
68-RemarquesCerveau.01
181 reference(s)
69-QuelquesQuestionsSurLaRecherche.01.Fra
181 reference(s)
70-PerteDeLAssociativite.01
181 reference(s)
71-MathematiquesModeleOutilArtiste.02.Ang
181 reference(s)
72-Autostereograms.01.
181 reference(s)
73-LesApprentisDieux.01
180 reference(s)
74-AvantPropos.01.Ang
180 reference(s)
75-PatrimoineHumanite.02.Fra
179 reference(s)
76-OrdinateursEtCalculs.01.Ang
179 reference(s)
77-OrdinateurMathematiquesArt.01.Fra
179 reference(s)
78-MathematiquesEtCinematographe.01.vv
179 reference(s)
79-IllusionConnaissance.02
179 reference(s)
80-VirtualChaos.01.Ang
178 reference(s)
81-UlamSpiral.01.Ang
178 reference(s)
82-MonodimensionalCellularAutomata.01.Ang
178 reference(s)
83-Galerie_Tributes.FV
178 reference(s)
84-subject.01.
177 reference(s)
85-Commentaires_Epicycloide.03
177 reference(s)
86-infinity.02.vv
176 reference(s)
87-MathematiquesEtRepresentations.01.vv.Ang
175 reference(s)
88-ManyChaos.01.Ang
175 reference(s)
89-Fractal.02
175 reference(s)
90-create.03.
174 reference(s)
91-RasoirDOccamEtMathematiques.01.vv.Ang
173 reference(s)
92-NombresPremiers_10000.vv
173 reference(s)
93-Galerie_TextureSynthesis.FV
173 reference(s)
94-EnsembleDesGaleries.DIAPO.0001
173 reference(s)
95-AvantPropos.01.Fra
173 reference(s)
96-VirtualChaos.01.Fra
172 reference(s)
97-Spheres.01
172 reference(s)
98-VisitesGaleriesEnfouies.01.Fra
171 reference(s)
99-MiseEnSceneDesNombres.01.vv.Fra
171 reference(s)
100-MathematiquesLangageDuGrandLivreDeLaNature.12
171 reference(s)
101-VisualisationRelief.01.vv.Fra
170 reference(s)
102-MonodimensionalCellularAutomata.01.Fra
170 reference(s)
103-MiseEnSceneDesNombres.01.vv.Ang
170 reference(s)
104-ExpV_VirE.Ang
170 reference(s)
105-EnsembleDesGaleriesFractales.DIAPO.0001
170 reference(s)
106-ManyChaos.01.Fra
169 reference(s)
107-Galerie_SensitivityToRoundingOffErrors.FV
169 reference(s)
108-RasoirDOccamEtMathematiques.01.vv.Fra
168 reference(s)
109-PerteDeLaDistributivite.01.DIS2
168 reference(s)
110-VisitesGaleriesEnfouies.01.Ang
167 reference(s)
111-present.01.
161 reference(s)
112-An2000.02.Fra
160 reference(s)
113-Commentaires_DefinitionOctonions.01
159 reference(s)
114-an2000
155 reference(s)
115-demo14
153 reference(s)
116-nombresreels
152 reference(s)
117-logiciel
152 reference(s)
118-demo
152 reference(s)
119-ExpV_VirE.21
152 reference(s)
120-realnumbers
151 reference(s)
121-genielogiciel
151 reference(s)
122-demo.14
150 reference(s)
123-Galerie_ImagesDesMathematiques.FV
145 reference(s)
124-Informations_AboutPicturesAnimationsAndFiles.01.Ang
144 reference(s)
125-VisSci_SciVis.02
143 reference(s)
126-ArtScience.01
142 reference(s)
127-Commentaires_DoubleJeenerBottle.01
141 reference(s)
128-VisSci_SciVis.01
140 reference(s)

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Copyright (c) Jean-François Colonna, 2017-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2017-2018.