Monthly Best Of on 05/28/2023




Random mosaics

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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[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 05/28/2023 and last updated on 10/03/2024 17:04:40 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Hypercube
1-298 reference(s)		Artistic view of the prime numbers
2-84 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
3-78 reference(s)		Untitled 0616
4-76 reference(s)
The random walk of photons escaping the Sun
5-75 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
6-73 reference(s)		Untitled 0615
7-67 reference(s)		Untitled 0612
8-64 reference(s)
The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 6-
9-63 reference(s)		Untitled 0613
10-61 reference(s)		Some elementary symbols used to built labyrinths -with a big black ghost structure at pi/4-
11-61 reference(s)		The Universe at the heart of a Calabi-Yau manifold
12-60 reference(s)
A pay slip
13-60 reference(s)		A Bidimensional Hilbert-like Curve defined with {X1(...),Y1(...)} related to the Mandelbrot set border -iteration 5-
14-59 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
15-57 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
16-57 reference(s)
Botticelli anomaly on the Moon
17-56 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
18-56 reference(s)		The Sierpinski Carpet -iteration 1 to 5-
19-54 reference(s)		The generalized Ulam spiral
20-54 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
21-54 reference(s)		The Jeener-Klein triple bottle
22-54 reference(s)		Along the border of the Mandelbrot set
23-53 reference(s)		The Menger Sponge -iteration 5-
24-53 reference(s)
A blue Sponge-tree -a Tribute to Yves Klein-
25-52 reference(s)		Untitled 0214
26-52 reference(s)		A 'square' spiral on the Klein bottle
27-52 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
28-52 reference(s)
Empty
29-51 reference(s)		A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
30-51 reference(s)		A 'square' spiral on the Boy surface
31-50 reference(s)		An amazing cross-section inside the Menger Sponge -iteration 5-
32-50 reference(s)
The Piet Mondrian Hypercube -2D, 3D or 4D?-
33-50 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
34-50 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
35-50 reference(s)		Untitled 0608
36-50 reference(s)
Untitled 0614
37-49 reference(s)		24 evenly distributed points on a sphere by means of simulated annealing
38-49 reference(s)		The Lorenz attractor
39-49 reference(s)		A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
40-48 reference(s)
A 'fractal plane' with overhangings described by means of a Bidimensional Hilbert-like Curve -iteration 6-
41-48 reference(s)		A parallelepipedic Torus described by means of an 'open' 3-foil torus knot -iteration 4-
42-48 reference(s)		Tridimensional localization of a point P its distances to the four vertices of a tetrahedron ABCD being known
43-48 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
44-48 reference(s)
The Piet Mondrian quadridimensional Calabi-Yau manifold -2D, 3D or 4D?-
45-48 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
46-47 reference(s)		Quark and gluon structure of a nucleon
47-47 reference(s)		A 'fractal plane' with overhangings described by means of a Bidimensional Hilbert Curve -iteration 7-
48-47 reference(s)
A 'crumpled' sphere described by means of a Bidimensional Hilbert Curve -iteration 7-
49-47 reference(s)		Tridimensional representation of an octodimensional Calabi-Yau manifold with pseudo-random projection
50-47 reference(s)		Artistic view of a quadridimensional Calabi-Yau manifold
51-47 reference(s)		Bidimensional closed pseudo-self-avoiding brownian motion on the Boy surface
52-46 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year as it is -without non linear scaling-
53-46 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)
54-46 reference(s)		Happy new year 2000
55-46 reference(s)		Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
56-46 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold described by means of 5x5 Bidimensional Hilbert Curves -iteration 5-
57-46 reference(s)		Untitled 0611
58-46 reference(s)		About the length of the von Koch curve
59-45 reference(s)		Universe or Multiverse -The fractal Universe-?
60-45 reference(s)
Mountains at sunrise
61-45 reference(s)		The length of the first two iterations of the construction of the von Koch curve
62-44 reference(s)		Untitled 0305
63-44 reference(s)		The non linear transformation of the coordinates in the Solar System
64-44 reference(s)
Fractal Self-Portrait -a Tribute to René Magritte-
65-44 reference(s)		Autostereogram with an hidden ring and ghost bows
66-43 reference(s)		Dissonance chaude/Dissonance froide -a Tribute to Paul Sérusier-
67-43 reference(s)		Three hexagons and the twenty-eight first strictly positive integer numbers -nine of them being prime numbers-
68-43 reference(s)
Untitled 0609
69-43 reference(s)		Untitled 0610
70-43 reference(s)		At each iteration of the construction process of the von Koch curve, its length is multiplied by 4/3
71-42 reference(s)		Artistic view of the Big Bang
72-42 reference(s)
Autostereogram of the CMAP
73-42 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-
74-42 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
75-42 reference(s)		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
76-42 reference(s)
Artistic view of a quadridimensional Calabi-Yau manifold
77-42 reference(s)		The first two iterations -red and magenta respectively- of the construction of the von Koch curve
78-41 reference(s)		The 64 first lines of the Pascal's Triangle
79-41 reference(s)		The Mathematics are the key of the Multiverse
80-41 reference(s)
Untitled 0243
81-41 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-
82-41 reference(s)		The Birth of the Universe
83-41 reference(s)		The Continuum Hypothesis (CH)
84-41 reference(s)
The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 5-
85-41 reference(s)		Sixteen interlaced fractal torus
86-41 reference(s)		Tridimensional representation of an hexadecadimensional Calabi-Yau manifold with pseudo-random projection
87-41 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
88-40 reference(s)
The construction process of the von Koch curve -iteration 2: the removing of the bases of the four equilateral triangles-
89-40 reference(s)		The construction process of the von Koch curve
90-40 reference(s)		A simple geometrical periodical structure
91-40 reference(s)		Sunny Monument Valley
92-40 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
93-40 reference(s)		Fractal Self-Portrait -'Décalcomanie', a Tribute to René Magritte-
94-40 reference(s)		The Goldbach conjecture
95-40 reference(s)		Heterogeneous -tridimensional fractal field- random meshing of a cube
96-40 reference(s)
The Ulam spiral displaying 2025 numbers
97-39 reference(s)		From Pluto to the Sun (non linear scales)
98-39 reference(s)		A half-random extended Menger Sponge -iteration 5-
99-39 reference(s)		A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -100.000 digits, -base 10- into 050330... -128.508 digits, base 6-
100-39 reference(s)
Close-up on a foggy 'MandelBox' -tridimensional cross-section-
101-39 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-
102-39 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
103-39 reference(s)		The Jeener hypocycloidal snail
104-39 reference(s)
5x5 identical bidimensional closed self-avoiding brownian motions on a tridimensional representation of a quadridimensional Calabi-Yau manifold
105-39 reference(s)		A 'square' spiral on the Bonan-Jeener-Klein triple bottle
106-39 reference(s)		The construction process of the von Koch curve -iteration 1: an equilateral triangle-
107-38 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
108-38 reference(s)
Untitled 0085
109-38 reference(s)		A Tridimensional Hilbert-like Curve defined with {X2(...),Y2(...),Z2(...)} -iteration 2-
110-38 reference(s)		Untitled 0606
111-38 reference(s)		Mountains and light cloud dynamics -this sequence being periodical-
112-38 reference(s)
Untitled 0040
113-38 reference(s)		Untitled 0155 -a Tribute to Yves Tanguy-
114-38 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-'children's corner' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
115-38 reference(s)		Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
116-38 reference(s)
A Jeener-Möbius Tridimensional manifold described by means of a Tridimensional Hilbert Curve -iteration 4-
117-38 reference(s)		5x5 various bidimensional closed self-avoiding brownian motions on a tridimensional representation of a quadridimensional Calabi-Yau manifold
118-38 reference(s)		Untitled 0089
119-37 reference(s)		Fractal 'celestial body' based on a torus with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
120-37 reference(s)
Artistic view of the Solar System viewed from a virtual planet
121-37 reference(s)		Iterations in the complex plane: the computation of the Mandelbrot set
122-37 reference(s)		The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 5-
123-37 reference(s)		Quadruple impossible staircase built by means of a paradoxal structure -a Tribute to Maurits Cornelis Escher-
124-37 reference(s)
Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 1.083.984 galaxies)obtained by means of a non deterministic fractal process
125-37 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
126-36 reference(s)		Expansion of a gas inside a bidimensional circular box with display of velocity histograms
127-36 reference(s)		Monument Valley at sunrise
128-36 reference(s)




2-The 128 most referenced Pages (*):

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



1-Vcatalogue.11
270 reference(s)		2-xiirv_____.nota.t.
153 reference(s)
3-xiirc_____.nota.t.
148 reference(s)		4-demo_14
135 reference(s)
5-AVirtualSpaceTimeTravelMachine.Ang
133 reference(s)		6-Fractal.01
99 reference(s)
7-xiirs_____.nota.t.
91 reference(s)		8-An2000.01.Fra
91 reference(s)
9-help.
89 reference(s)		10-Web_Mail.01.vv
88 reference(s)
11-Galerie_NumberTheory.FV
87 reference(s)		12-Fractal.11
87 reference(s)
13-UlamSpiral.01.Fra
86 reference(s)		14-Stereogrammes_AutoStereogrammes.01
83 reference(s)
15-ChatGPT.01.Fra
81 reference(s)		16-EntrelacsIntertwinings.01.Fra
78 reference(s)
17-Galerie_ImagesDesMathematiques.FV
77 reference(s)		18-Galerie_ArtisticCreation.FV
77 reference(s)
19-Fractal.03
76 reference(s)		20-Galerie_GeneralitiesVisualization.FV
72 reference(s)
21-DieuScience.01.Fra
72 reference(s)		22-Informations_AboutPicturesAnimationsAndFiles.01.Ang
68 reference(s)
23-Informations_GoodNewsAndBadNews.01.Fra
67 reference(s)		24-Galerie_DeterministicFractalGeometry.FV
67 reference(s)
25-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
66 reference(s)		26-Galerie_QuantumMechanics.FV
65 reference(s)
27-MathematiquesPhysiqueFractales.22
64 reference(s)		28-LeNoeudInfini.01.Fra
64 reference(s)
29-Galerie_TextureSynthesis.FV
64 reference(s)		30-Galerie_NewPictures.FV
64 reference(s)
31-GoldenTriangle.01.Fra
63 reference(s)		32-Fractal.21
63 reference(s)
33-LOG_xiMc.11
61 reference(s)		34-ImagesDuVirtuel.01.Fra.FV
61 reference(s)
35-Galerie_ParticleSystems.FV
61 reference(s)		36-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
61 reference(s)
37-Exposition_EcolePolytechnique_FeteDeLaScience_201910
61 reference(s)		38-Exposition_EcolePolytechnique_FeteDeLaScience_201810
61 reference(s)
39-DecimalesDePi.01.Fra
61 reference(s)		40-AProposSite.01.Fra
61 reference(s)
41-Galerie_SignalProcessing.FV
60 reference(s)		42-infinity.01.vv
59 reference(s)
43-copyright.01.
58 reference(s)		44-LesCourbesRemplissantes.02.Fra
56 reference(s)
45-xiac_____.nota.t.
55 reference(s)		46-FaireDesMathematiques.01.Fra
55 reference(s)
47-DecimalesPi_1_100.vv
55 reference(s)		48-mail.01.vv
54 reference(s)
49-NDimensionalDeterministicFractalSets.01.Fra
54 reference(s)		50-GoldenTriangle.01.Ang
54 reference(s)
51-DecimalesPi_100000.vv
54 reference(s)		52-Pcatalogue.11
53 reference(s)
53-MathematiquesPhysiqueFractales.02
52 reference(s)		54-Galerie_ImagesDidactiques.FV
52 reference(s)
55-Galerie_ArtAndScience.FV
52 reference(s)		56-Commentaires_HyperCubeDimensionN.01
52 reference(s)
57-Galerie_Tributes.FV
51 reference(s)		58-ExpV_VirE.11
51 reference(s)
59-IllusionConnaissance.02
50 reference(s)		60-GenieLogiciel_VisualisationScientifique.01.vv
50 reference(s)
61-FloatingPointNumbers.01.Fra
50 reference(s)		62-NatureDesMathematiques.01.vv.Fra
49 reference(s)
63-MonodimensionalCellularAutomata.01.Fra
49 reference(s)		64-FloatingPointNumbers.01.Ang
49 reference(s)
65-AVirtualSpaceTimeTravelMachine.Fra
49 reference(s)		66-OrdinateurMathematiquesArt.01.Fra
48 reference(s)
67-Galerie_CelestialMechanics.FV
48 reference(s)		68-SurfaceProjector.01.Ang
46 reference(s)
69-Polynomials_RationalNumbers.01.Fra
46 reference(s)		70-present.01.
45 reference(s)
71-RealNumbers.01.Fra
45 reference(s)		72-Kepler.02.
45 reference(s)
73-Galerie_Astrophysics.FV
45 reference(s)		74-Exposition_OperaDeMassy_201912_202001
45 reference(s)
75-Exposition_EcolePolytechnique_AnneeMondialeDeLaPhysique_2005
45 reference(s)		76-EntrelacsIntertwinings.01.Ang
45 reference(s)
77-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
45 reference(s)		78-GenieLogiciel.01.Fra
44 reference(s)
79-VisualisationRelief.01.vv.Fra
43 reference(s)		80-LesCourbesRemplissantes.02.Ang
43 reference(s)
81-ImagesDuVirtuel.01.Fra
43 reference(s)		82-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
43 reference(s)
83-ExpV_VirE.Ang
43 reference(s)		84-catalogue.11
42 reference(s)
85-LeParadoxeDeFermi.01.Fra
42 reference(s)		86-ExpV_VirE.Fra
42 reference(s)
87-Commentaires_SystemeSolaire.01
42 reference(s)		88-Commentaires_DefinitionPseudoOctonions.01
42 reference(s)
89-AnimFractal.01.
42 reference(s)		90-RasoirDOccamEtMathematiques.01.vv.Fra
41 reference(s)
91-NombresEtLumiere.01.vv.Fra
41 reference(s)		92-MathematiquesPhysiqueFractales.12
41 reference(s)
93-Informations_GoodNewsAndBadNews.01.Ang
41 reference(s)		94-DuModeleALImage.02.Fra
41 reference(s)
95-ArithmetiqueEtOrdinateur.01.vv.Fra
41 reference(s)		96-SurfaceProjector.01.Fra
40 reference(s)
97-Multivers.01.Fra
40 reference(s)		98-MorePages.Ang.
40 reference(s)
99-LesCourbesRemplissantes.01.Fra
40 reference(s)		100-PerteDeLAssociativite.01
39 reference(s)
101-ImpossibleStructures.01.Fra
39 reference(s)		102-Commentaires_EnsembleJuliaComplexe.01
39 reference(s)
103-Autostereograms.01.
39 reference(s)		104-MonodimensionalCellularAutomata.01.Ang
38 reference(s)
105-ManyChaos.01.Ang
38 reference(s)		106-ImagesEncadreesDisponibles.01
38 reference(s)
107-Galerie_SelfPortraits.FV
38 reference(s)		108-relai_universel.01.vv
37 reference(s)
109-create.03.
37 reference(s)		110-VirtualChaos.01.Ang
37 reference(s)
111-LesCourbesRemplissantes.01.Ang
37 reference(s)		112-Exposition_EcolePolytechnique_FeteDeLaScience_201510
37 reference(s)
113-DieuScience.01.Ang
37 reference(s)		114-ArtScience.01
37 reference(s)
115-Galerie_FluidMechanics.FV
36 reference(s)		116-Galerie_BestOf.FV
36 reference(s)
117-Exposition_MairieCinquiemeArrondissementParis_202001_202002
36 reference(s)		118-ConjectureDeSyracuse_0256.vv
36 reference(s)
119-AvantPropos.01.Ang
36 reference(s)		120-xiak_____.nota.t.
35 reference(s)
121-OrdinateursEtCalculs.01.Fra
35 reference(s)		122-NDimensionalDeterministicFractalSets.01.Ang
35 reference(s)
123-Galerie_NumbersAndLight.FV
35 reference(s)		124-Galerie_DeterministicChaos.FV
35 reference(s)
125-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
35 reference(s)		126-EnsembleDesGaleriesFractales.DIAPO.0001
35 reference(s)
127-ConjectureDeSyracuse_0128.Parity.vv
35 reference(s)		128-ChatGPT.01.Ang
35 reference(s)

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




Copyright © Jean-François COLONNA, 2023-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2023-2024.