Monthly Best Of on 12/28/2018




Synthesis of bidimensional symmetrical 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 12/28/2018 and last updated on 11/14/2023 17:49:34 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The random walk of photons escaping the Sun
1-245 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
2-239 reference(s)		 Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
3-233 reference(s)		 Happy new year 2000
4-206 reference(s)
A fractal vegetal structure
5-183 reference(s)		 Erosion of a bidimensional random (with small and large scale correlations)medium
6-181 reference(s)		 Hypercube
7-174 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
8-166 reference(s)
Gravitation and space-time curvature
9-163 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
10-163 reference(s)		 The random walk of photons escaping the Sun
11-161 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
12-140 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
13-107 reference(s)		 The generalized Ulam spiral
14-101 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
15-100 reference(s)		 Artistic view of the prime numbers
16-86 reference(s)
Autostereogram with an hidden volcano
17-81 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
18-81 reference(s)		 The bidimensional John Conway's life game
19-74 reference(s)		 From 'geocentrism' to 'heliocentrism'
20-73 reference(s)
Autostereogram of the CMAP
21-69 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
22-68 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
23-67 reference(s)		 The Bonan-Jeener-Klein triple bottle
24-61 reference(s)
Autostereogram with an hidden volcano
25-58 reference(s)		 Autostereogram with an hidden volcano
26-56 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
27-56 reference(s)		 Quantum vacuum fluctuations
28-53 reference(s)
The Jeener-Klein triple bottle
29-53 reference(s)		 Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
30-50 reference(s)		 The random walk of photons escaping the Sun
31-49 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
32-49 reference(s)
Autostereogram with an hidden volcano
33-48 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-
34-46 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
35-45 reference(s)		 Tridimensional texture animation by means of the Generalized Product
36-45 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
37-44 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
38-44 reference(s)		 A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
39-44 reference(s)		 Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
40-44 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
41-44 reference(s)		 From Mars to the Sun
42-44 reference(s)		 A fractal vegetal structure -'the Knowledge Tree'-
43-43 reference(s)		 Tridimensional zoom in on the Mandelbrot set
44-43 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
45-43 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
46-43 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
47-43 reference(s)		 Bidimensional geometrical texture animation
48-42 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
49-42 reference(s)		 Bidimensional texture animation by means of the Generalized Product
50-42 reference(s)		 The Möbius strip
51-42 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
52-42 reference(s)
Untitled 0267 -a Tribute to Piet Mondrian-
53-42 reference(s)		 The Universe at the heart of a Calabi-Yau manifold
54-41 reference(s)		 Bidimensional Hilbert Curve -iteration 4-
55-41 reference(s)		 Pseudo Olympic Rings
56-40 reference(s)
Sixteen interlaced fractal torus
57-40 reference(s)		 A fractal Klein bottle
58-40 reference(s)		 Two multiplexed autostereograms by means of a pi/2 rotation
59-39 reference(s)		 A fractal Möbius strip
60-39 reference(s)
Anaglyph -blue=right, red=left- of a fractal hypercube
61-36 reference(s)		 The Sierpinski carpet -iteration 1 to 5-
62-35 reference(s)		 An Archimedes spiral displaying 5000 numbers
63-35 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
64-34 reference(s)
An aperiodic Penrose tiling of the plane
65-33 reference(s)		 A spherical cross-section inside the Menger sponge -iteration 5-
66-32 reference(s)		 My own quadruple impossible staircase -a Tribute to Maurits Cornelis Escher-
67-32 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
68-32 reference(s)
A pseudo-periodical triangular tiling of the plane
69-31 reference(s)		 The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
70-31 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
71-30 reference(s)		 Fractal natural form
72-29 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
73-29 reference(s)		 Metropolis -a Tribute to Fritz Lang-
74-29 reference(s)		 Where is the Multiverse?
75-28 reference(s)		 True colors autostereogram of a fractal landscape
76-28 reference(s)
Autostereogram with an hidden ring and ghost bows
77-27 reference(s)		 2000 evenly distributed points on a sphere by means of the Fibonacci spiral
78-27 reference(s)		 Isle of the Dead -a Tribute to Arnold Böcklin-
79-27 reference(s)		 The first four iterations of the construction of the von Koch snowflake
80-26 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
81-26 reference(s)		 A fractal aperiodic Penrose tiling
82-26 reference(s)		 Tridimensional Hilbert Curve -iteration 3-
83-25 reference(s)		 The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
84-24 reference(s)
The Lorenz attractor
85-24 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
86-24 reference(s)		 The Sierpinski carpet -iteration 5-
87-23 reference(s)		 Quark and gluon structure of a nucleon
88-23 reference(s)
From Pluto to the Sun (non linear scales)
89-23 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
90-23 reference(s)		 The Klein bottle
91-23 reference(s)		 An aperiodic Penrose tiling of the plane
92-22 reference(s)
Autostereogram of Monument Valley
93-22 reference(s)		 Quark and gluon structure of a nucleon
94-22 reference(s)		 Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
95-21 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
96-21 reference(s)
A pay slip
97-21 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
98-21 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
99-21 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
100-21 reference(s)
Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
101-21 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
102-20 reference(s)		 The Boy surface
103-20 reference(s)		 From Pluto to the Sun -extrapolation 1- (non linear scales)
104-20 reference(s)
The Menger sponge -iteration 5-
105-20 reference(s)		 An aperiodic Penrose tiling of the plane
106-19 reference(s)		 The pseudo-sphere
107-19 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
108-19 reference(s)
A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
109-19 reference(s)		 Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
110-19 reference(s)		 The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
111-19 reference(s)		 From the infinitely small to the infinitely big
112-19 reference(s)
A 4-cube -an hypercube-
113-19 reference(s)		 Untitled 0269 -a Tribute to Piet Mondrian-
114-19 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
115-19 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
116-18 reference(s)
About the length of the von Koch curve
117-18 reference(s)		 Quantum vacuum fluctuations
118-18 reference(s)		 The 64 first lines of the Pascal's Triangle -modulo 7-
119-18 reference(s)		 Autostereogram with an hidden ring and ghost bows
120-18 reference(s)
Fractal natural form
121-18 reference(s)		 The Klein bottle defined by means of three bidimensional fields
122-18 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
123-18 reference(s)		 Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
124-18 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
125-18 reference(s)		 The quaternionic Julia set -degree=2- computed -pseudo-addition and pseudo-multiplication in C- with A=(-0.58...,+0.63...,0,0)-tridimensional cross-section-
126-18 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
127-18 reference(s)		 The Birth of the Universe
128-18 reference(s)




2-The 128 most referenced Pages (*):

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



1-Vcatalogue.11
1215 reference(s)		 2-An2000.01.Fra
941 reference(s)
3-demo_14
922 reference(s)		 4-ImagesDuVirtuel.01.Fra
829 reference(s)
5-ImagesDuVirtuel.01.Fra.FV
728 reference(s)		 6-ComplexiteStructurelleClassements.11
489 reference(s)
7-help.
485 reference(s)		 8-AVirtualSpaceTimeTravelMachine.Ang
385 reference(s)
9-ExpV_VirE.Fra
338 reference(s)		 10-An2000.01.Ang
319 reference(s)
11-MathematiquesPhysiqueFractales.22
318 reference(s)		 12-GenieLogiciel_VisualisationScientifique.01.vv
295 reference(s)
13-create.03.
285 reference(s)		 14-Informations_GoodNewsAndBadNews.01.Fra
278 reference(s)
15-present.01.
271 reference(s)		 16-Galerie_DeterministicFractalGeometry.FV
270 reference(s)
17-Galerie_NumberTheory.FV
262 reference(s)		 18-Galerie_GeneralitiesVisualization.FV
241 reference(s)
19-Galerie_ArtisticCreation.FV
217 reference(s)		 20-GenieLogiciel.01.Fra
214 reference(s)
21-MorePages.
212 reference(s)		 22-Informations_GoodNewsAndBadNews.01.Ang
210 reference(s)
23-DieuScience.01.Fra
210 reference(s)		 24-Fractal.01
207 reference(s)
25-ExpV_VirE.11
204 reference(s)		 26-RealNumbers.01.Fra
203 reference(s)
27-NDimensionalDeterministicFractalSets.01.Fra
200 reference(s)		 28-Stereogrammes_AutoStereogrammes.01
198 reference(s)
29-FloatingPointNumbers.01.Fra
198 reference(s)		 30-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
196 reference(s)
31-Galerie_DeterministicFractalGeometry
196 reference(s)		 32-Fractal.11
195 reference(s)
33-ExpV_VirE.Ang
192 reference(s)		 34-Fractal.21
191 reference(s)
35-VisSci_SciVis.02
188 reference(s)		 36-Galerie_ImagesDesMathematiques.FV
188 reference(s)
37-SurfaceProjector.01.Fra
186 reference(s)		 38-MathematiquesPhysiqueFractales.02
182 reference(s)
39-Autostereograms.01.
182 reference(s)		 40-Galerie_NumberTheory
180 reference(s)
41-Kepler.02.
174 reference(s)		 42-demo14
173 reference(s)
43-demo.14
172 reference(s)		 44-an2000
171 reference(s)
45-realnumbers
170 reference(s)		 46-nombresreels
170 reference(s)
47-demo
170 reference(s)		 48-logiciel
169 reference(s)
49-genielogiciel
168 reference(s)		 50-FloatingPointNumbers.01.Ang
167 reference(s)
51-AVirtualSpaceTimeTravelMachine.Fra
167 reference(s)		 52-SurfaceProjector.01.Ang
166 reference(s)
53-Galerie_ArtAndScience.FV
165 reference(s)		 54-DuModeleALImage.02.Fra
165 reference(s)
55-LesApprentisDieux.01
163 reference(s)		 56-GenieLogiciel.01.Ang
163 reference(s)
57-Galerie_ParticleSystems.FV
163 reference(s)		 58-subject.01.
161 reference(s)
59-Commentaires_NKleinBottle.01
161 reference(s)		 60-FaireDeLaRecherche.01.vv
160 reference(s)
61-LOG_xiMc.11
156 reference(s)		 62-AProposSite.01.Fra
156 reference(s)
63-GoldenTriangle.01.Fra
155 reference(s)		 64-An2000.02.Fra
155 reference(s)
65-mail.01.vv
154 reference(s)		 66-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
154 reference(s)
67-Galerie_GeneralitiesVisualization
154 reference(s)		 68-AnimFractal.01.
154 reference(s)
69-copyright.01.
153 reference(s)		 70-NDimensionalDeterministicFractalSets.01.Ang
151 reference(s)
71-demo_14.FV
147 reference(s)		 72-Galerie_NewPictures.FV
147 reference(s)
73-infinity.01.vv
146 reference(s)		 74-MathematiquesModeleOutilArtiste.02.Ang
145 reference(s)
75-ExpV_VirE.21
144 reference(s)		 76-Fractal.03
143 reference(s)
77-Galerie_QuantumMechanics.FV
140 reference(s)		 78-Galerie_DeterministicChaos.FV
140 reference(s)
79-EntrelacsIntertwinings.01.Ang
140 reference(s)		 80-Galerie_BestOf.FV
139 reference(s)
81-Spheres.01
137 reference(s)		 82-OrdinateurMathematiquesArt.01.Fra
137 reference(s)
83-Galerie_ParticleSystems
137 reference(s)		 84-NatureDesMathematiques.01.vv.Fra
136 reference(s)
85-MathematiquesPhysiqueFractales.12
136 reference(s)		 86-Galerie_CelestialMechanics.FV
136 reference(s)
87-AQuoiServentLesMathematiques.01
135 reference(s)		 88-UlamSpiral.01.Fra
134 reference(s)
89-MonodimensionalCellularAutomata.01.Fra
132 reference(s)		 90-Informations_AboutPicturesAnimationsAndFiles.01.Ang
131 reference(s)
91-catalogue.11
129 reference(s)		 92-OrdinateursEtCalculs.01.Fra
129 reference(s)
93-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
129 reference(s)		 94-EntrelacsIntertwinings.01.Fra
129 reference(s)
95-Galerie_ArtisticCreation
128 reference(s)		 96-MathematiquesPhysiqueFractales.01
127 reference(s)
97-Galerie_SensitivityToRoundingOffErrors.FV
126 reference(s)		 98-AVirtualSpaceTimeTravelMachine.Fra.FV
125 reference(s)
99-xDarchivesG__SMC__sources__utilitaires_____SI_ASSYS
124 reference(s)		 100-DecimalesPi_100000.vv
124 reference(s)
101-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
124 reference(s)		 102-MonodimensionalCellularAutomata.01.Ang
122 reference(s)
103-ImpossibleStructures.01.Ang
121 reference(s)		 104-Galerie_TextureSynthesis.FV
120 reference(s)
105-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
120 reference(s)		 106-ArtScience.01
120 reference(s)
107-Galerie_SignalProcessing.FV
119 reference(s)		 108-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
119 reference(s)
109-AVirtualSpaceTimeTravelMachine.Ang.FV
118 reference(s)		 110-NombresPremiers_10000.vv
116 reference(s)
111-NombresEtLumiere.01.vv.Fra
116 reference(s)		 112-MathematiquesPhysiqueFractales.02.1
116 reference(s)
113-IllusionConnaissance.01
116 reference(s)		 114-Galerie_NewPictures
116 reference(s)
115-Galerie_ImagesDidactiques.FV
116 reference(s)		 116-Galerie_Astrophysics.FV
116 reference(s)
117-Fractal.02
116 reference(s)		 118-VisSci_SciVis.01
115 reference(s)
119-PerteDeLAssociativite.01.ADD3
115 reference(s)		 120-ImpossibleStructures.01.Fra
114 reference(s)
121-IllusionConnaissance.02
114 reference(s)		 122-GoldenTriangle.01.Ang
114 reference(s)
123-VirtualChaos.01.Fra
113 reference(s)		 124-PerteDeLAssociativite.01.MUL3
113 reference(s)
125-PerteDeLAssociativite.01
113 reference(s)		 126-ManyChaos.01.Ang
113 reference(s)
127-FaireDesMathematiques.01.Fra
113 reference(s)		 128-EnsembleDesGaleries.DIAPO.0001
113 reference(s)

And now, enjoy visiting A Virtual Space-Time Travel Machine.




Copyright © Jean-François COLONNA, 2018-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2018-2023.