Monthly Best Of on 05/28/2024




Synthesis of bidimensional symmetrical geometrical textures

Jean-François COLONNA
[Contact me]

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 05/28/2024 and last updated on 06/14/2024 11:47:31 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The eroded Menger Sponge -iteration 3-
1-373 reference(s)
The DNA of Mathematics -the 480 first digits of 'pi' and '1/pi'-
2-119 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
3-112 reference(s)
The first four iterations of the construction of the von Koch snowflake
4-98 reference(s)
A distorded -for the sake of display- 5-cube -an hyperhypercube-
5-97 reference(s)
Artistic view of the prime numbers
6-92 reference(s)
Autostereogram with an hidden volcano
7-86 reference(s)
The 100.000 first digits -base 10- of 'pi' viewed as a huge integer number converted to base 6 and displayed as an 'absolute' tridimensional random walk -127.237 steps-
8-85 reference(s)
Autostereogram of the CMAP
9-80 reference(s)
The generalized Ulam spiral
10-80 reference(s)
The 500 first digits of 'pi' displayed as an Impossible Structure
11-78 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
12-78 reference(s)
The 100.000 first digits -base 10- of 'pi' viewed as a huge integer number converted to base 6 and displayed as an 'absolute' tridimensional random walk -127.237 steps-
13-73 reference(s)
The DNA of Mathematics -the 100 first digits of 'pi' and '1/pi'-
14-73 reference(s)
Tridimensional display of a spiral displaying 'pi' with 4000 digits -base 10-
15-72 reference(s)
The DNA of Mathematics -the 100 first digits of 'pi' and 'e'-
16-72 reference(s)
The Goldbach conjecture
17-72 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold described by means of 5x5 Bidimensional Hilbert Curves -iteration 5-
18-71 reference(s)
Autostereogram with an hidden volcano
19-69 reference(s)
The God Chessboard or the 64 first digits -base 2- of 'pi' -the first 'digit' is the bottom left black square-
20-69 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one marsian year -Earth point of view and zoom on the four first planets-
21-69 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
22-66 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
23-65 reference(s)
The genesis of the 'EinStein' aperiodic 'Spectre' tile -top right-
24-64 reference(s)
The random walk of photons escaping the Sun
25-63 reference(s)
Fractal Self-Portrait -a Tribute to René Magritte-
26-63 reference(s)
The DNA of Mathematics -the 480 first digits of 'pi' and '1/pi'-
27-63 reference(s)
The DNA of Mathematics -the 480 first digits of 'pi' and 'e'-
28-62 reference(s)
A Picture in the style of Jan van Eyck -Courtesy of 'www.bing.com'-
29-60 reference(s)
The Sierpinski Carpet -iteration 1 to 5-
30-60 reference(s)
The random walk of photons escaping the Sun
31-59 reference(s)
The DNA of Mathematics -the 100 first digits of 'pi' and '1/pi'-
32-59 reference(s)
The DNA of Mathematics -the 60 first digits of 'pi' and '1/pi'-
33-58 reference(s)
Tridimensional display of a spiral displaying 'pi' with 2000 digits -base 10-
34-57 reference(s)
A double spherical cross-section inside a 3x3x3 Menger Sponge -iteration 4- displaying the number 3.141
35-57 reference(s)
Happy new year 2000
36-57 reference(s)
The DNA of Mathematics -the 60 first digits of 'pi' and 'e'-
37-57 reference(s)
A Picture in the style of Alan Turing -Courtesy of 'www.bing.com'-
38-55 reference(s)
The Library of Babel in the style of the cave of Lascaux -Courtesy of 'www.bing.com'-
39-55 reference(s)
An aperiodic Penrose tiling of the plane
40-55 reference(s)
Particle collisions without energy loss in a tridimensional space with display of the velocity histogram
41-55 reference(s)
Jean-François COLONNA (on 11/17/1994)with its fractal mountains
42-55 reference(s)
A Picture in the style of Pieter Bruegel der elder -Courtesy of 'www.bing.com'-
43-54 reference(s)
Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
44-54 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
45-54 reference(s)
The DNA of Mathematics -the 480 first digits of 'pi' and 'e'-
46-54 reference(s)
The Library of Babel in the style of the cave of Lascaux -Courtesy of 'www.bing.com'-
47-53 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
48-53 reference(s)
A Fractal Cube -iteration 2-
49-53 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
50-53 reference(s)
The Universe at the heart of a Calabi-Yau manifold
51-52 reference(s)
The 120 first digits of 'pi' displayed as an Impossible Structure
52-52 reference(s)
The DNA of Mathematics -the 60 first digits of 'pi' and '1/pi'-
53-52 reference(s)
Tridimensional visualization of the ABC conjecture
54-52 reference(s)
The Bonan-Jeener-Klein triple bottle
55-52 reference(s)
A Locomotive in the style of Sandro Botticelli -Courtesy of 'www.bing.com'-
56-51 reference(s)
A 3x3x3 Menger Sponge -iteration 6- displaying the number 3.14159
57-51 reference(s)
Along the border of the Mandelbrot set
58-50 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
59-50 reference(s)
Sixty-four interlaced torus
60-50 reference(s)
Mountains at sunrise
61-50 reference(s)
A pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 1/O conformal transformation in the pseudo-octonionic space -tridimensional cross-section-
62-50 reference(s)
A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
63-50 reference(s)
Hypercube
64-50 reference(s)
The Library of Babel in the style of the cave of Lascaux -Courtesy of 'www.bing.com'-
65-49 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
66-49 reference(s)
Pseudo Olympic Rings
67-49 reference(s)
The 'pi' island -1-
68-49 reference(s)
An Archimedes spiral displaying 'pi' with 200 digits -base 10-
69-49 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
70-49 reference(s)
The Menger Sponge -iteration 5-
71-49 reference(s)
An aperiodic Penrose tiling of the Golden Decagon
72-48 reference(s)
display of 'pi' with 100 digits {3.14...} on an helix -grey-
73-48 reference(s)
The 'pi' island -3-
74-48 reference(s)
The 180 first digits of 'pi' displayed as a Labyrinth
75-48 reference(s)
Close-up on a foggy 'MandelBox' -tridimensional cross-section-
76-48 reference(s)
A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) and with a 0 to pi rotation about the X axis -tridimensional cross-section-
77-48 reference(s)
A Fractal Cube -iteration 3-
78-48 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
79-48 reference(s)
A 4-cube -an hypercube-
80-48 reference(s)
A Picture in the style of Alan Turing -Courtesy of 'www.bing.com'-
81-47 reference(s)
A Picture in the style of A Bad Painter -Courtesy of 'www.bing.com'-
82-47 reference(s)
Artistic view of the Big Bang
83-47 reference(s)
A 5x5 Sierpinski Carpet -iteration 4- using the 9 first prime numbers and displaying the number 3.141
84-47 reference(s)
Tridimensional display of a spiral displaying 'pi' with 4000 digits -base 10-
85-47 reference(s)
The Lorenz attractor
86-47 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
87-47 reference(s)
The DNA of Mathematics -the 480 first digits of 'pi' and '1/pi'-
88-47 reference(s)
The DNA of Mathematics -the 480 first digits of 'pi' and '1/pi'-
89-47 reference(s)
A fractal Möbius strip
90-47 reference(s)
A Picture in the style of Giorgio de Chirico -Courtesy of 'www.bing.com'-
91-46 reference(s)
The Mystic Island based on the level 3 cluster made of 8 'Spectre' level 2 clusters
92-46 reference(s)
A close-up of the 'EinStein' aperiodic 'Spectre' tiling
93-46 reference(s)
Tridimensional display of an Archimedes spiral displaying 'pi' with 1000 digits -base 10-
94-46 reference(s)
A quaternionic Julia set -tridimensional cross-section-
95-46 reference(s)
Cantor's diagonal argument
96-46 reference(s)
A Picture in the style of Jan van Eyck -Courtesy of 'www.bing.com'-
97-45 reference(s)
The Library of Babel in the style of Pythagoras -Courtesy of 'www.bing.com'-
98-45 reference(s)
The Library of Babel in the style of the cave of Lascaux -Courtesy of 'www.bing.com'-
99-45 reference(s)
A Locomotive in the style of Sandro Botticelli -Courtesy of 'www.bing.com'-
100-45 reference(s)
The 64 first lines of the Pascal's Triangle
101-45 reference(s)
4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
102-45 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)
103-45 reference(s)
An amazing cross-section inside the Menger Sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
104-45 reference(s)
The DNA of Mathematics -the 480 first digits of 'pi' and '1/pi'-
105-45 reference(s)
A Picture in the style of Pierre de Ronsard -Courtesy of 'www.bing.com'-
106-44 reference(s)
A Picture in the style of Yves Tanguy -Courtesy of 'www.bing.com'-
107-44 reference(s)
L'Etre et le Néant, Jean-Paul Sartre -Courtesy of 'www.bing.com'-
108-44 reference(s)
A Picture in the style of A Great Painter -Courtesy of 'www.bing.com'-
109-44 reference(s)
The Library of Babel in the style of the cave of Lascaux -Courtesy of 'www.bing.com'-
110-44 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
111-44 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
112-44 reference(s)
An interpolation between a rectangle and a rounded cube
113-44 reference(s)
The 256 first digits -base 10- of 'pi' on a Bidimensional Hilbert Curve -iteration 4- mapped on a sphere
114-44 reference(s)
display of 'pi' with 1.000 digits -base 10- on an helix -good point of view-
115-44 reference(s)
The 'pi' island -2-
116-44 reference(s)
Color palette 'orange_cyan.33'
117-44 reference(s)
Quark and gluon structure of a nucleon
118-44 reference(s)
The actual relative sizes of the Solar System bodies
119-44 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
120-44 reference(s)
Art and Science, 1971-1991, page 60
121-44 reference(s)
The Library of Babel in the style of Vincent van Gogh -Courtesy of 'www.bing.com'-
122-43 reference(s)
A Picture in the style of Jan van Eyck -Courtesy of 'www.bing.com'-
123-43 reference(s)
The Library of Babel in the style of Pythagoras -Courtesy of 'www.bing.com'-
124-43 reference(s)
Untitled 0320
125-43 reference(s)
Untitled 0305
126-43 reference(s)
The Mystic Island based on the level 3 cluster made of 7 'Spectre' level 2 clusters
127-43 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
128-43 reference(s)




2-The 128 most referenced Pages (*):

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



1-AVirtualSpaceTimeTravelMachine.Ang
1478 reference(s)
2-EnsembleDesGaleries.DIAPO.0978
127 reference(s)
3-Stereogrammes_AutoStereogrammes.01
124 reference(s)
4-Web_Mail.01.vv
120 reference(s)
5-demo_14
106 reference(s)
6-IAGenerativesImages.01.Ang
97 reference(s)
7-NombresEtLumiere.01.vv.Fra
88 reference(s)
8-BEST.20070728
88 reference(s)
9-Vcatalogue.11
87 reference(s)
10-An2000.01.Fra
79 reference(s)
11-Fractal.01
76 reference(s)
12-Galerie_Pi.FV
74 reference(s)
13-GoldenTriangle.01.Fra
68 reference(s)
14-Fractal.21
63 reference(s)
15-DecimalesDePi.01.Fra
58 reference(s)
16-help.
57 reference(s)
17-FloatingPointNumbers.01.Fra
56 reference(s)
18-AProposSite.01.Fra
55 reference(s)
19-xciP_____interpole.01.z.
54 reference(s)
20-LOG_xiMc.11
53 reference(s)
21-IAGenerativesImages.01.Fra
53 reference(s)
22-mail.01.vv
52 reference(s)
23-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
52 reference(s)
24-ChatGPT.01.Fra
52 reference(s)
25-ImagesDuVirtuel.01.Fra.FV
51 reference(s)
26-UlamSpiral.01.Fra
49 reference(s)
27-GoldenTriangle.01.Ang
49 reference(s)
28-EntrelacsIntertwinings.01.Fra
48 reference(s)
29-RasoirDOccamEtMathematiques.01.vv.Fra
47 reference(s)
30-NombresPremiers_10000.vv
47 reference(s)
31-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
47 reference(s)
32-EnsembleDesGaleries.DIAPO.0979
47 reference(s)
33-Informations_GoodNewsAndBadNews.01.Fra
46 reference(s)
34-Galerie_ArtisticCreation.FV
46 reference(s)
35-Galerie_ArtAndScience.FV
45 reference(s)
36-FloatingPointNumbers.01.Ang
45 reference(s)
37-Le_Chat.01.Ang
44 reference(s)
38-Fractal.11
44 reference(s)
39-Informations_GoodNewsAndBadNews.01.Ang
43 reference(s)
40-EnsembleDesGaleries.DIAPO.1281
43 reference(s)
41-SurfaceProjector.01.Ang
42 reference(s)
42-Informations_AboutPicturesAnimationsAndFiles.01.Ang
42 reference(s)
43-Galerie_NewPictures.FV
42 reference(s)
44-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0189
41 reference(s)
45-Galerie_GeneralitiesVisualization.FV
41 reference(s)
46-AVirtualSpaceTimeTravelMachine.Fra
41 reference(s)
47-ExpV_VirE.11
40 reference(s)
48-subject.01.
39 reference(s)
49-MathematiquesPhysiqueFractales.12
39 reference(s)
50-LeParadoxeDeFermi.01.Fra
39 reference(s)
51-Galerie_TextureSynthesis.FV
39 reference(s)
52-Galerie_NumbersAndLight.FV
39 reference(s)
53-Galerie_NumberTheory.FV
39 reference(s)
54-EnsembleDesGaleries.DIAPO.0001
39 reference(s)
55-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
39 reference(s)
56-ChatGPT.01.Ang
39 reference(s)
57-relai_universel.01.vv
38 reference(s)
58-LesCourbesRemplissantes.01.Fra
38 reference(s)
59-Galerie_PALETTES_C
38 reference(s)
60-xiirv_____.nota.t.
37 reference(s)
61-Polynomials_RationalNumbers.01.Fra
37 reference(s)
62-Pcatalogue.11
37 reference(s)
63-ConjectureDeSyracuse_0128.Parity.vv
37 reference(s)
64-UlamSpiral.01.Ang
36 reference(s)
65-RealNumbers.01.Fra
36 reference(s)
66-PerteDeLAssociativite.01
36 reference(s)
67-PatrimoineHumanite.02.Fra
36 reference(s)
68-Multivers.01.Fra
36 reference(s)
69-MartiensEtMathematiques.01.Ang
36 reference(s)
70-LeNoeudInfini.01.Fra
36 reference(s)
71-ImpossibleStructures.01.Fra
36 reference(s)
72-DuModeleALImage.02.Fra
36 reference(s)
73-DecimalesPi_100000.vv
36 reference(s)
74-AnimFractal.01.
36 reference(s)
75-xivP_d09_f2_____.REFL.E.12.2..u.
35 reference(s)
76-xciP_____luminance.01.z.
35 reference(s)
77-MesExpositionsPassees.01
35 reference(s)
78-LesCourbesRemplissantes.02.Fra
35 reference(s)
79-LesCourbesRemplissantes.02.Ang
35 reference(s)
80-Galerie_DeterministicFractalGeometry.FV
35 reference(s)
81-Galerie_DeterministicChaos.FV
35 reference(s)
82-Exposition_EcolePolytechnique_FeteDeLaScience_201910
35 reference(s)
83-xiirv_____.PIPO.C1.2..u.
34 reference(s)
84-NatureDesMathematiques.01.vv.Fra
34 reference(s)
85-MathematiquesEtRepresentations.01.vv.Ang
34 reference(s)
86-EnsembleDesGaleries.DIAPO.0562
34 reference(s)
87-DieuScience.01.Fra
34 reference(s)
88-DecimalesPi_1_100.vv
34 reference(s)
89-Commentaires_NKleinBottle.01
34 reference(s)
90-xrk_____SinCos.11.K.
33 reference(s)
91-xiirs_____.nota.t.
33 reference(s)
92-create.03.
33 reference(s)
93-catalogue.11
33 reference(s)
94-SurfaceProjector.01.Fra
33 reference(s)
95-RasoirDOccamEtMathematiques.01.vv.Ang
33 reference(s)
96-NombresEtLumiere.02.vv.Ang
33 reference(s)
97-MonodimensionalCellularAutomata.01.Fra
33 reference(s)
98-GenieLogiciel.01.Fra
33 reference(s)
99-Exposition_MairieCinquiemeArrondissementParis_202001_202002
33 reference(s)
100-Bard.01.Fra
33 reference(s)
101-xcg_____z_COHX.01.K.
32 reference(s)
102-infinity.02.vv
32 reference(s)
103-copyright.01.
32 reference(s)
104-Notations_AppartientA.01
32 reference(s)
105-Galerie_SensitivityToRoundingOffErrors.FV
32 reference(s)
106-EnsembleDesGaleries.DIAPO.0181
32 reference(s)
107-Commentaires_EnsembleJuliaQuaternion.01
32 reference(s)
108-Autostereograms.01.
32 reference(s)
109-stereogrammes_autostereogrammes.01
31 reference(s)
110-real.01.vv.
31 reference(s)
111-NDimensionalDeterministicFractalSets.01.Ang
31 reference(s)
112-MorePages.Ang.
31 reference(s)
113-Kepler.02.
31 reference(s)
114-Informations_AboutPicturesAnimationsAndFiles.01.Fra
31 reference(s)
115-IllusionConnaissance.02
31 reference(s)
116-Galerie_QuantumMechanics.FV
31 reference(s)
117-Galerie_PALETTES_A
31 reference(s)
118-Galerie_ImagesDesMathematiques.FV
31 reference(s)
119-Galerie_FluidMechanics.FV
31 reference(s)
120-Galerie_CelestialMechanics.FV
31 reference(s)
121-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
31 reference(s)
122-EnsembleDesGaleries.DIAPO.0954
31 reference(s)
123-Commentaires_NKleinBottle.02
31 reference(s)
124-AQuoiServentLesMathematiques.02
31 reference(s)
125-xrs_____bKlein.14.I.
30 reference(s)
126-xDarchivesG__CMS5__sources__CMS5_____SIS_CMS5_2
30 reference(s)
127-Spheres.01
30 reference(s)
128-OrdinateursEtCalculs.01.Fra
30 reference(s)

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




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