Monthly Best Of on 03/01/2022




A pseudo-periodical non linear Penrose tiling of the plane

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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(CMAP28 WWW site: this page was created on 03/01/2022 and last updated on 03/01/2022 19:06:24 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The distance {Earth-Mars} -millions of kilometers- starting on 01/01/1950 AD and during seven marsian years
1-65 reference(s)		 This is not a cloud
2-9 reference(s)		 Autostereogram with an hidden volcano
3-8 reference(s)		 This is not a cloud
4-8 reference(s)
No Title 0004
5-8 reference(s)		 Autostereogram with an hidden volcano
6-7 reference(s)		 Pseudo Olympic Rings
7-6 reference(s)		 A tridimensionally distorded pseudo-periodical Penrose tiling of the plane
8-5 reference(s)
The generalized Ulam spiral displaying 100 numbers
9-5 reference(s)		 A tribute to Sandro Botticelli
10-5 reference(s)		 The set of 'Y' bidimensional fields defining a fractal texture animation
11-4 reference(s)		 Coalescence of 40832 particles -black holes?- inside a tridimensional parallelepipedic billiard
12-4 reference(s)
Paradoxal Monument Valley at sunset
13-4 reference(s)		 Jigsaw puzzle with a self-Portrait
14-4 reference(s)		 Artistic view of the prime numbers
15-4 reference(s)		 The Klein bottle
16-4 reference(s)
A pseudo-periodical Penrose tiling of the plane -the extended paradoxal demoniac Rubik's Cube-
17-3 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
18-3 reference(s)		 Generation of the 63x63 first Conway's surreal complex numbers
19-3 reference(s)		 Autostereogram with an hidden volcano
20-3 reference(s)
The Sierpinski carpet -iteration 3-
21-3 reference(s)		 A torus by means of three bidimensional fields
22-3 reference(s)		 Self-transformation of a simple dynamical geometric texture
23-3 reference(s)		 The Klein bottle defined by means of three bidimensional fields
24-3 reference(s)
A regular 7-gon -an heptagon-
25-3 reference(s)		 The 2-17 first digits -base 10- of 'pi' displayed on a circle
26-3 reference(s)		 A medium with percolation -top to bottom- using the <I>8-connexity</I>
27-3 reference(s)		 Sunny Monument Valley
28-3 reference(s)
No Title 0502 (1972-1976)
29-3 reference(s)		 No Title 0551 (1972-1976)
30-3 reference(s)		 From 'geocentrism' to 'heliocentrism'
31-3 reference(s)		 An arbitrary surface (Jeener surface 2)in motion
32-3 reference(s)
No Title 0230
33-3 reference(s)		 Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
34-3 reference(s)		 Jean-François Colonna (on 11/17/1994)with its fractal mountains
35-3 reference(s)		 Iterations in the complex plane
36-3 reference(s)
Sixteen interlaced fractal torus
37-3 reference(s)		 Anaglyph -blue=right, red=left- of a tridimensional filamentous fractal structure
38-3 reference(s)		 Electron diffraction
39-3 reference(s)		 The abelian -commutative- group defined on elliptic curves
40-3 reference(s)
A punched card (almost the actual size)
41-3 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
42-2 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
43-2 reference(s)		 No Title 0014
44-2 reference(s)
Quantum vacuum fluctuations
45-2 reference(s)		 Impressionist tridimensional self-Portrait
46-2 reference(s)		 A pseudo-periodical Penrose tiling of the Golden Decagon -level 6-
47-2 reference(s)		 A pseudo-periodical Penrose tiling of the Golden Decagon
48-2 reference(s)
A pseudo-periodical Penrose tiling of the plane
49-2 reference(s)		 A pseudo-periodical Penrose tiling of the plane
50-2 reference(s)		 A pseudo-periodical triangular tiling of the plane
51-2 reference(s)		 16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
52-2 reference(s)
The Syracuse conjecture for U(0)={7,14,21,28,...,1835008}
53-2 reference(s)		 Generation of the 63 first Conway's surreal numbers
54-2 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- inside a torus
55-2 reference(s)		 No Title 0319
56-2 reference(s)
A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
57-2 reference(s)		 No Title 0304
58-2 reference(s)		 A bidimensional field
59-2 reference(s)		 The bidimensional field defining the 'X' coordinate of a sphere
60-2 reference(s)
Paradoxal structure -from Order to Disorder-
61-2 reference(s)		 A simple geometrical periodical structure
62-2 reference(s)		 A recursive intertwining animation
63-2 reference(s)		 Intertwining
64-2 reference(s)
A simple geometrical periodical structure
65-2 reference(s)		 A simple geometrical periodical structure
66-2 reference(s)		 A paradoxal structure
67-2 reference(s)		 A bidimensional field
68-2 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
69-2 reference(s)		 Autostereogram of the CMAP
70-2 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
71-2 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
72-2 reference(s)
Autostereogram with an hidden ring and ghost bows
73-2 reference(s)		 2000 evenly distributed points on a sphere by means of the Fibonacci spiral
74-2 reference(s)		 The random walk of photons escaping the Sun
75-2 reference(s)		 The Sierpinski carpet -iteration 1 to 5-
76-2 reference(s)
The Boy surface in motion
77-2 reference(s)		 Bidimensional billiard with 6 still -initially- particles submitted to an attractive central field of gravity
78-2 reference(s)		 Fractal diffusion front in a bidimensional medium obtained by means of identical interacting particles with spatial Fourier filtering
79-2 reference(s)		 Double bidimensional rectangular billiard with 64 isotropic particles and without collisions
80-2 reference(s)
Computation of the roots of Q^3=1 using Newton's method with translation along the third axis of the quaternionic space
81-2 reference(s)		 Quaternionic shell fossil
82-2 reference(s)		 There is an infinity of right-angled triangles
83-2 reference(s)		 A right-angled triangle
84-2 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
85-2 reference(s)		 No Title 0300
86-2 reference(s)		 A tridimensional cubic mesh with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
87-2 reference(s)		 No Title 0123
88-2 reference(s)
Four interlaced torus
89-2 reference(s)		 The set of bidimensional fields defining the three coordinates of a dynamical gaussian smoothing of the Bonan-Jeener-Klein triple bottle
90-2 reference(s)		 The set of bidimensional fields defining the 'Z' coordinate of an interpolation between the Möbius strip and a 'double sphere'
91-2 reference(s)		 Bidimensional abstract texture with random anthropomorphic patterns
92-2 reference(s)
The bidimensional field defining the 'Y' coordinate of a fractal surface (three iterations)
93-2 reference(s)		 The bidimensional field defining the 'Y' coordinate of a fractal surface (one iteration)
94-2 reference(s)		 The 8188 first prime numbers starting at 11 computed modulo 7 and displayed as an 'absolute' tridimensional random walk
95-2 reference(s)		 The Ulam spiral
96-2 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
97-2 reference(s)		 The Eratosthene sieve displaying 10x10 numbers
98-2 reference(s)		 An Archimedes spiral displaying 1000 numbers
99-2 reference(s)		 The generalized Ulam spiral
100-2 reference(s)
The additive persistence of the 65536 first integer numbers for the bases 2 -lower left- to 17 -upper right-
101-2 reference(s)		 Paradoxal Monument Valley at sunset
102-2 reference(s)		 No Title 0188
103-2 reference(s)		 No Title 0030
104-2 reference(s)
The foggy Babel Tower -a tribute to Brueghel the Elder-
105-2 reference(s)		 Color palette 'rouge.21'
106-2 reference(s)		 Color palette 'fractal.A1'
107-2 reference(s)		 No Title 0552 (1972-1976)
108-2 reference(s)
No Title 0484 (1972-1976)
109-2 reference(s)		 No Title 0483 (1972-1976)
110-2 reference(s)		 No Title 0466 (1972-1976)
111-2 reference(s)		 No Title 0426 (1972-1976)
112-2 reference(s)
No Title 0424 (1972-1976)
113-2 reference(s)		 No Title 0395 (1972-1976)
114-2 reference(s)		 Octonionic archimedian spirals with extended arithmetics
115-2 reference(s)		 Random walk on a torus
116-2 reference(s)
Synthetic and real picture mosaic with random points
117-2 reference(s)		 The journey of an Earth-like planet (green)in the Solar System -point of view of the virtual planet-
118-2 reference(s)		 Artistic view of the Solar System viewed from the Earth
119-2 reference(s)		 From Pluto to the Sun (non linear scales)
120-2 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-
121-2 reference(s)		 Tridimensional Mondrian -a tribute to Piet Mondrian-
122-2 reference(s)		 Artistic view of the Möbius strip
123-2 reference(s)		 An arbitrary surface (Jeener surface 2)
124-2 reference(s)
Quark and gluon structure of the meson
125-2 reference(s)		 No Title 0233
126-2 reference(s)		 K/LD Matrix -'Optimal_CDC_1.01' measures-
127-2 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
128-2 reference(s)




2-The 128 most referenced Pages (*):

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



1-Commentaires_DefinitionQuaternions.01
414 reference(s)		 2-Commentaires_DefinitionPseudoQuaternions.01
336 reference(s)
3-Commentaires_EnsembleJuliaQuaternion.01
270 reference(s)		 4-An2000.01.Fra
201 reference(s)
5-Commentaires_EnsembleMandelbrotQuaternion.01
177 reference(s)		 6-xiirc_____.nota.t.
117 reference(s)
7-Vcatalogue.11
109 reference(s)		 8-Commentaires_DefinitionOctonions.01
91 reference(s)
9-AVirtualSpaceTimeTravelMachine.Ang
88 reference(s)		 10-Commentaires_EnsembleMandelbrotOctonion.01
76 reference(s)
11-help.
70 reference(s)		 12-demo_14
67 reference(s)
13-mail.01.vv
52 reference(s)		 14-copyright.01.
47 reference(s)
15-An2000.01.Ang
47 reference(s)		 16-MorePages.Ang.
42 reference(s)
17-Informations_AboutPicturesAnimationsAndFiles.01.Ang
42 reference(s)		 18-Commentaires_DefinitionPseudoOctonions.01
41 reference(s)
19-LOG_xiMc.11
36 reference(s)		 20-AVirtualSpaceTimeTravelMachine.Fra
36 reference(s)
21-SurfaceProjector.01.Fra
34 reference(s)		 22-Fractal.11
32 reference(s)
23-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
30 reference(s)		 24-Commentaires_EnsembleJuliaOctonion.01
30 reference(s)
25-Autostereograms.01.
30 reference(s)		 26-GoldenTriangle.01.Fra
27 reference(s)
27-SurfaceProjector.01.Ang
26 reference(s)		 28-MonodimensionalCellularAutomata.01.Fra
25 reference(s)
29-FloatingPointNumbers.01.Fra
25 reference(s)		 30-ImagesEncadreesDisponibles.01
24 reference(s)
31-Commentaires_EspaceLyapunovComplexe.01
24 reference(s)		 32-MorePages.Fra.
23 reference(s)
33-ImpossibleStructures.01.Ang
23 reference(s)		 34-present.01.
22 reference(s)
35-Web_Mail.01.vv
22 reference(s)		 36-EntrelacsIntertwinings.01.Ang
22 reference(s)
37-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
22 reference(s)		 38-AnimFractal.01.
22 reference(s)
39-OrdinateursEtCalculs.01.Ang
21 reference(s)		 40-Exposition_MairieCinquiemeArrondissementParis_202001_202002
21 reference(s)
41-NDimensionalDeterministicFractalSets.01.Fra
20 reference(s)		 42-MonodimensionalCellularAutomata.01.Ang
20 reference(s)
43-Informations_GoodNewsAndBadNews.01.Fra
20 reference(s)		 44-Fractal.21
20 reference(s)
45-xiirf_____.nota.t.
19 reference(s)		 46-catalogue.11
19 reference(s)
47-UlamSpiral.01.Fra
19 reference(s)		 48-EntrelacsIntertwinings.01.Fra
19 reference(s)
49-Stereogrammes_AutoStereogrammes.01
18 reference(s)		 50-Informations_GoodNewsAndBadNews.01.Ang
18 reference(s)
51-GenieLogiciel.01.Fra
18 reference(s)		 52-ExpV_VirE.Fra
18 reference(s)
53-ExpV_VirE.11
18 reference(s)		 54-DecimalesPi_100000.vv
18 reference(s)
55-AProposSite.01.Fra
18 reference(s)		 56-xDarchivesG__CMS5__sources__CMS5_____SIS_CMS5_12
17 reference(s)
57-infinity.01.vv
17 reference(s)		 58-MathematiquesPhysiqueFractales.02
17 reference(s)
59-Kepler.02.
17 reference(s)		 60-Informations_AboutPicturesAnimationsAndFiles.01.Fra
17 reference(s)
61-Fractal.01
17 reference(s)		 62-FloatingPointNumbers.01.Ang
17 reference(s)
63-FaireDesMathematiques.01.Fra
17 reference(s)		 64-DecimalesPi_1_100.vv
17 reference(s)
65-VisitesGaleriesEnfouies.01.Ang
16 reference(s)		 66-NatureDesMathematiques.01.vv.Fra
16 reference(s)
67-NDimensionalDeterministicFractalSets.01.Ang
16 reference(s)		 68-LeParadoxeDeFermi.01.Ang
16 reference(s)
69-ImpossibleStructures.01.Fra
16 reference(s)		 70-ImagesDuVirtuel.01.Fra
16 reference(s)
71-Galerie_ParticleSystems
16 reference(s)		 72-Galerie_NewPictures
16 reference(s)
73-Exposition_EcolePolytechnique_FeteDeLaScience_201810
16 reference(s)		 74-ExpV_VirE.21
16 reference(s)
75-DuModeleALImage.02.Fra
16 reference(s)		 76-DieuScience.01.Ang
16 reference(s)
77-Commentaires_NKleinBottle.01
16 reference(s)		 78-xiirs_____.nota.t.
15 reference(s)
79-subject.01.
15 reference(s)		 80-VisitesGaleriesEnfouies.01.Fra
15 reference(s)
81-VirtualChaos.01.Ang
15 reference(s)		 82-Pcatalogue.11
15 reference(s)
83-PatrimoineHumanite.02.Fra
15 reference(s)		 84-OrdinateurMathematiquesArt.01.Fra
15 reference(s)
85-NombresPremiers_10000.vv
15 reference(s)		 86-MiseEnSceneDesNombres.01.vv.Fra
15 reference(s)
87-MesExpositionsPassees.01
15 reference(s)		 88-MathematiquesPhysiqueFractales.12
15 reference(s)
89-MathematiquesPhysiqueFractales.02.3
15 reference(s)		 90-MathematiquesPhysiqueFractales.02.12
15 reference(s)
91-HomeMade.01.vv
15 reference(s)		 92-Galerie_GeneralitiesVisualization
15 reference(s)
93-FaireDeLaRecherche.01.vv
15 reference(s)		 94-Exposition_EcolePolytechnique_FeteDeLaScience_201510
15 reference(s)
95-Downloading.01.vv
15 reference(s)		 96-DieuScience.01.Fra
15 reference(s)
97-Definitions_8_connexite.01
15 reference(s)		 98-ConjectureDeSyracuse_0256.vv
15 reference(s)
99-BEST.20140828
15 reference(s)		 100-ArtEtMathematiques.01
15 reference(s)
101-xtc_____INCLUDES.01.I.
14 reference(s)		 102-xiia_____.nota.t.
14 reference(s)
103-infinity.02.vv
14 reference(s)		 104-VirtualChaos.01.Fra
14 reference(s)
105-VAcatalogue.11
14 reference(s)		 106-RemarquesCerveau.01
14 reference(s)
107-MathematiquesEtCinematographe.01.vv
14 reference(s)		 108-IllusionConnaissance.02
14 reference(s)
109-Galerie_NumberTheory
14 reference(s)		 110-Fractal.02
14 reference(s)
111-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
14 reference(s)		 112-Exposition_EcolePolytechnique_FeteDeLaScience_201910
14 reference(s)
113-Definitions_4_connexite.01
14 reference(s)		 114-ConjectureDeSyracuse_0128.Parity.vv
14 reference(s)
115-CompressionDeCompression_ComplexiteStructurelle.Optimal_ZL.01
14 reference(s)		 116-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
14 reference(s)
117-BEST.20170128
14 reference(s)		 118-BEST.20160128
14 reference(s)
119-ArtScience.01
14 reference(s)		 120-ArithmetiqueEtOrdinateur.01.vv.Fra
14 reference(s)
121-Ariane501.01.Fra
14 reference(s)		 122-xiirv_____.nota.t.
13 reference(s)
123-xiirk_____.nota.t.
13 reference(s)		 124-xDarchivesG__CMS5__sources__generateurs_____SISGEN_CMS5
13 reference(s)
125-xDarchivesG__CMS5__sources__CMS5_____SIS_CMS5_2
13 reference(s)		 126-create.03.
13 reference(s)
127-VisualisationRelief.01.vv.Fra
13 reference(s)		 128-VCcatalogue.11
13 reference(s)

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Copyright © Jean-François Colonna, 2022-2022.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2022-2022.