Monthly Best Of on 05/28/2024




Intertwining

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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[Please, visit A Virtual Machine for Exploring Space-Time and Beyond, the place where you can find more than 10.000 pictures and animations between Art and Science]
(CMAP28 WWW site: this page was created on 05/28/2024 and last updated on 10/03/2024 17:04:53 -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)		A tridimensional pseudo-random walk defined by means of 'pi': 141592... -100.001 digits, -base 10- into 303142... -128.509 digits, -base 6-
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)
A tridimensional pseudo-random walk defined by means of 'pi': 141592... -100.001 digits, -base 10- into 303142... -128.509 digits, -base 6-
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 4.000 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 'decimals' -base 2- of 'pi' -the first 'decimal' 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)
The Sierpinski Carpet -iteration 1 to 5-
29-60 reference(s)		The random walk of photons escaping the Sun
30-59 reference(s)		The DNA of Mathematics -the 100 first digits of 'pi' and '1/pi'-
31-59 reference(s)		The DNA of Mathematics -the 60 first digits of 'pi' and '1/pi'-
32-58 reference(s)
Tridimensional display of a spiral displaying 'pi' with 2.000 digits -base 10-
33-57 reference(s)		A double spherical cross-section inside a 3x3x3 Menger Sponge -iteration 4- displaying the number 3.141
34-57 reference(s)		Happy new year 2000
35-57 reference(s)		The DNA of Mathematics -the 60 first digits of 'pi' and 'e'-
36-57 reference(s)
An aperiodic Penrose tiling of the plane
37-55 reference(s)		Particle collisions without energy loss in a tridimensional space with display of the velocity histogram
38-55 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
39-55 reference(s)		Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
40-54 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
41-54 reference(s)		The DNA of Mathematics -the 480 first digits of 'pi' and 'e'-
42-54 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
43-53 reference(s)		A Fractal Cube -iteration 2-
44-53 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
45-53 reference(s)		The Universe at the heart of a Calabi-Yau manifold
46-52 reference(s)		The 120 first digits of 'pi' displayed as an Impossible Structure
47-52 reference(s)		The DNA of Mathematics -the 60 first digits of 'pi' and '1/pi'-
48-52 reference(s)
Tridimensional visualization of the ABC conjecture
49-52 reference(s)		The Bonan-Jeener-Klein triple bottle
50-52 reference(s)		A 3x3x3 Menger Sponge -iteration 6- displaying the number 3.14159
51-51 reference(s)		Along the border of the Mandelbrot set
52-50 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
53-50 reference(s)		Sixty-four interlaced torus
54-50 reference(s)		Mountains at sunrise
55-50 reference(s)		A pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 1/O conformal transformation in the pseudo-octonionic space -tridimensional cross-section-
56-50 reference(s)
A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
57-50 reference(s)		Hypercube
58-50 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
59-49 reference(s)		Pseudo Olympic Rings
60-49 reference(s)
The 'pi' island -1-
61-49 reference(s)		An Archimedes spiral displaying 'pi' with 200 digits -base 10-
62-49 reference(s)		The same bidimensional scalar field displayed with 4 different color palettes
63-49 reference(s)		The Menger Sponge -iteration 5-
64-49 reference(s)
An aperiodic Penrose tiling of the Golden Decagon
65-48 reference(s)		display of 'pi' with 100 digits {3.141592...} on an helix -grey-
66-48 reference(s)		The 'pi' island -3-
67-48 reference(s)		The 180 first digits of 'pi' displayed as a Labyrinth
68-48 reference(s)
Close-up on a foggy 'MandelBox' -tridimensional cross-section-
69-48 reference(s)		A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) and with a 0 to pi rotation about the X axis -tridimensional cross-section-
70-48 reference(s)		A Fractal Cube -iteration 3-
71-48 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
72-48 reference(s)
A 4-cube -an hypercube-
73-48 reference(s)		Artistic view of the Big Bang
74-47 reference(s)		A 5x5 Sierpinski Carpet -iteration 4- using the 9 first prime numbers and displaying the number 3.141
75-47 reference(s)		Tridimensional display of a spiral displaying 'pi' with 4.000 digits -base 10-
76-47 reference(s)
The Lorenz attractor
77-47 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
78-47 reference(s)		The DNA of Mathematics -the 480 first digits of 'pi' and '1/pi'-
79-47 reference(s)		The DNA of Mathematics -the 480 first digits of 'pi' and '1/pi'-
80-47 reference(s)
A fractal Möbius strip
81-47 reference(s)		The Mystic Island based on the level 3 cluster made of 8 'Spectre' level 2 clusters
82-46 reference(s)		A close-up of the 'EinStein' aperiodic 'Spectre' tiling
83-46 reference(s)		Tridimensional display of an Archimedes spiral displaying 'pi' with 1.000 digits -base 10-
84-46 reference(s)
A quaternionic Julia set -tridimensional cross-section-
85-46 reference(s)		Cantor's diagonal argument
86-46 reference(s)		The 64 first lines of the Pascal's Triangle
87-45 reference(s)		4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
88-45 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)
89-45 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-
90-45 reference(s)		The DNA of Mathematics -the 480 first digits of 'pi' and '1/pi'-
91-45 reference(s)		Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
92-44 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
93-44 reference(s)		An interpolation between a rectangle and a rounded cube
94-44 reference(s)		The 256 first digits -base 10- of 'pi' on a Bidimensional Hilbert Curve -iteration 4- mapped on a sphere
95-44 reference(s)		display of 'pi' with 1.000 digits -base 10- on an helix -good point of view-
96-44 reference(s)
The 'pi' island -2-
97-44 reference(s)		Color palette 'orange_cyan.33'
98-44 reference(s)		Quark and gluon structure of a nucleon
99-44 reference(s)		The actual relative sizes of the Solar System bodies
100-44 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
101-44 reference(s)		Art and Science, 1971-1991, page 60
102-44 reference(s)		Untitled 0320
103-43 reference(s)		Untitled 0305
104-43 reference(s)
The Mystic Island based on the level 3 cluster made of 7 'Spectre' level 2 clusters
105-43 reference(s)		Mountains and light cloud dynamics -this sequence being periodical-
106-43 reference(s)		A 3x3x3 Menger Sponge -iteration 4- using the 9 first prime numbers and displaying the number 6.858 (=9.999-3.141)
107-43 reference(s)		Fractal Self-Portrait -'Décalcomanie', a Tribute to René Magritte-
108-43 reference(s)
Happy new year 2000
109-43 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
110-43 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
111-42 reference(s)		The random walk of photons escaping the Sun
112-42 reference(s)
A set of 4x3 stereograms of a tridimensional fractal structure
113-42 reference(s)		Tridimensional artistic view of 'pi'
114-42 reference(s)		A tridimensional pseudo-random walk defined by means of 'pi': 141592... -100.001 digits, -base 10- into 303142... -128.509 digits, -base 6-
115-42 reference(s)		Monument Valley at sunrise
116-42 reference(s)
Untitled 0621
117-42 reference(s)		The DNA of Mathematics -the 480 first digits of 'pi' and '1/pi'-
118-42 reference(s)		The foggy Earth 'anti-planet'
119-42 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
120-42 reference(s)
The Jeener-Klein triple bottle
121-42 reference(s)		Art and Science, 1971-1991, page 01
122-42 reference(s)		The bidimensional field defining the 'Y' coordinate of a sphere
123-41 reference(s)		The construction process of the Sierpinski Carpet
124-41 reference(s)
A tridimensional pseudo-random walk defined by means of 'pi': 141592... -100.001 digits, -base 10- into 303142... -128.509 digits, -base 6-
125-41 reference(s)		The 500 first digits of 'pi' displayed as an Impossible Structure
126-41 reference(s)		Botticelli anomaly on the Moon
127-41 reference(s)		Tridimensional visualization of the Mandelbrot set with mapping of the arguments
128-41 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.