Monthly Best Of on 08/28/2022




Tridimensional visualization of the Mandelbrot set

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 08/28/2022 and last updated on 10/03/2024 17:04:33 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- without confinement -300 particles-, with cluster(s), with a zero death rate and with a 100% infection, starting with just one infected person -red particle on bottom left picture-
1-138 reference(s)		Artistic view of the prime numbers
2-117 reference(s)		Bidimensional display of 31 Rational Numbers by means of the Stern-Brocot Tree
3-84 reference(s)		Autostereogram with an hidden volcano
4-82 reference(s)
The random walk of photons escaping the Sun
5-67 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
6-67 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
7-64 reference(s)		Intertwining
8-64 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
9-63 reference(s)		Bidimensional display of 255 Rational Numbers by means of the Stern-Brocot Tree
10-61 reference(s)		A pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0) -tridimensional cross-section-
11-61 reference(s)		Anaglyph -blue=right, red=left- of a fractal polyhedron
12-60 reference(s)
The 'Earth' of a diffusion process obtained by means of a random walk process
13-60 reference(s)		Fractal texture dynamics
14-59 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
15-59 reference(s)		The Road to Chaos -06/19/2022-
16-58 reference(s)
Happy new year 2000
17-58 reference(s)		Tridimensional fractal structure
18-58 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
19-57 reference(s)		The Lorenz attractor
20-57 reference(s)
Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,...)obtained by means of a non deterministic fractal process
21-57 reference(s)		The Sierpinski Carpet -iteration 1 to 5-
22-56 reference(s)		Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
23-55 reference(s)		A Tridimensional Hilbert-like Curve defined with {X3(...),Y3(...),Z3(...)} and based on an 'open' 3-foil torus knot -iteration 3-
24-55 reference(s)
Artistic view of the Big Bang
25-54 reference(s)		A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
26-54 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
27-54 reference(s)		Untitled 0258
28-54 reference(s)
Untitled 0267 -a Tribute to Piet Mondrian-
29-54 reference(s)		The 1.000 first digits -base 10- of 'e' displayed on an helix -very bad point of view-
30-53 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
31-52 reference(s)		Electron-positron scattering
32-52 reference(s)
The Universe at the heart of a Calabi-Yau manifold
33-51 reference(s)		Botticelli anomaly on the Moon
34-51 reference(s)		Anaglyph -blue=right, red=left- of a close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
35-51 reference(s)		A pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
36-51 reference(s)
Tridimensional filamentous fractal structure
37-51 reference(s)		Heterogeneous -tridimensional fractal field- random meshing of a cube
38-51 reference(s)		The generalized Ulam spiral
39-50 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
40-50 reference(s)
Cloudy Mandelbrot set
41-50 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
42-50 reference(s)		Sixteen interlaced fractal torus
43-50 reference(s)		A parallelepipedic extended Menger Sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
44-49 reference(s)
A Tridimensional Hilbert-like Curve defined with {X3(...),Y3(...),Z3(...)} and based on an 'open' 7-foil torus knot -iteration 3-
45-48 reference(s)		Intertwining
46-47 reference(s)		A bidimensional fractal field
47-47 reference(s)		Autostereogram with an hidden ring and ghost bows
48-47 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-
49-47 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
50-47 reference(s)		Bidimensional Hilbert Curve -iteration 4-
51-47 reference(s)		Bidimensional clouds or height field
52-47 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
53-47 reference(s)		The Road to Chaos -06/19/2022-
54-46 reference(s)		Bidimensional Sierpinski billiard with 16 random particles, with collisions and display of their gravity center -white particle-
55-46 reference(s)		The bidimensional field defining the three coordinates of four overlaped torus
56-46 reference(s)
From Pluto to the Sun (non linear scales)
57-46 reference(s)		Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
58-46 reference(s)		A 'tridimensional epicycloïdal' pseudo-torus
59-46 reference(s)		From the infinitely small to the infinitely big
60-46 reference(s)
Untitled 0602 -a Tribute to Jean-Michel Atlan-
61-46 reference(s)		Along the border of the Mandelbrot set
62-45 reference(s)		Texture animation by means of the Generalized Product
63-45 reference(s)		A 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section-
64-45 reference(s)
Artistic view of Monument Valley
65-45 reference(s)		The Solar System with a green virtual planet -virtual planet point of view-
66-45 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Venus point of view-
67-45 reference(s)		The bidimensional Ising Model with 2-state spins, temperature=0.2 and random initial conditions -display of tilting sites only-
68-45 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
69-45 reference(s)		A fractal Klein bottle
70-45 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
71-44 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
72-44 reference(s)
Octonionic mountains with extended arithmetics
73-44 reference(s)		A tridimensional billiard starting with a Menger Sponge -iteration 2-
74-44 reference(s)		Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
75-44 reference(s)		The 'Lakes' of a diffusion process obtained by means of a random walk process
76-44 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
77-44 reference(s)		A Tribute to Sandro Botticelli
78-44 reference(s)		Untitled 0600 -a Tribute to Jean Arp-
79-44 reference(s)		Quantum vacuum fluctuations
80-43 reference(s)
Self-transformation of an arbitrary geometrical texture
81-43 reference(s)		Foggy Monument Valley
82-43 reference(s)		Untitled 0164
83-43 reference(s)		Anaglyph -blue=right, red=left- of a tridimensional interpolation between a fractal structure and a cubic mesh
84-43 reference(s)
An interpolation between a rectangle and a rounded cube
85-42 reference(s)		A 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section-
86-42 reference(s)		Circular worm
87-42 reference(s)		Color palette 'pmc.53'
88-42 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
89-42 reference(s)		The definition of a monodimensional 'quasi-continuous' cellular automata
90-42 reference(s)		Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
91-41 reference(s)		The set of bidimensional fields defining the three coordinates of an interpolation between the Bonan-Jeener-Klein triple bottle and a 'double sphere'
92-41 reference(s)
A 'double sphere' defined by means of three bidimensional fields
93-41 reference(s)		A Tridimensional Hilbert-like Curve defined with {X3(...),Y3(...),Z3(...)} and based on an 'open' 5-foil torus knot -iteration 3-
94-41 reference(s)		Sunny Monument Valley
95-41 reference(s)		The same bidimensional scalar field displayed with 4 different color palettes
96-41 reference(s)
Distorsion of the Möbius strip
97-41 reference(s)		The Menger Sponge -iteration 5-
98-41 reference(s)		3-foil torus knot on its torus
99-41 reference(s)		Fractal Self-Portrait -a Tribute to René Magritte-
100-41 reference(s)
Tridimensional filamentous fractal structure
101-41 reference(s)		Untitled 0599 -a Tribute to Robert & Sonia Delaunay-
102-41 reference(s)		Rotation about the Y (vertical)axis of a tridimensional representation of quadridimensional Calabi-Yau manifolds that can also be viewed as a set of 4x3 stereograms -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
103-41 reference(s)		Distorsion of a sphere
104-40 reference(s)
Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
105-40 reference(s)		Mountains and fog
106-40 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Mars point of view-
107-40 reference(s)		Distorsion of the Möbius strip
108-40 reference(s)
Untitled 0597
109-40 reference(s)		Regular quadrangulation of the volume of a cylinder -8x8x8-
110-40 reference(s)		The Satanic Verses -a Tribute to Salman Rushdie-
111-40 reference(s)		The Bonan-Jeener-Klein triple bottle
112-40 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
113-39 reference(s)		The 'hyperbolic tangent' of a sphere
114-39 reference(s)		The 'tangent' of a sphere
115-39 reference(s)		Monument Valley at sunrise
116-39 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
117-39 reference(s)		Untitled 0155 -a Tribute to Yves Tanguy-
118-39 reference(s)		Quark and gluon structure of a nucleon
119-39 reference(s)		K/LD Matrix -'CDCM2_CDC_B.01' measures-
120-39 reference(s)
K/LD Matrix -'CDCM1_B4.01' measures-
121-39 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-'children's corner' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
122-39 reference(s)		Untitled 0603
123-39 reference(s)		Tridimensional fractal structure
124-39 reference(s)
Depth of field effect
125-39 reference(s)		A distorded -for the sake of display- 5-cube -an hyperhypercube-
126-39 reference(s)		A periodical tiling of the plane using squares
127-39 reference(s)		The Radical of the integer numbers from 2 to 257
128-39 reference(s)




2-The 128 most referenced Pages (*):

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



1-AVirtualSpaceTimeTravelMachine.Ang
1165 reference(s)		2-Informations_AboutPicturesAnimationsAndFiles.01.Ang
1123 reference(s)
3-EntrelacsIntertwinings.01.Ang
167 reference(s)		4-EntrelacsIntertwinings.01.Fra
166 reference(s)
5-An2000.01.Fra
144 reference(s)		6-Galerie_ArtAndScience.FV
141 reference(s)
7-demo_14
132 reference(s)		8-Galerie_NumberTheory.FV
122 reference(s)
9-copyright.01.
111 reference(s)		10-Galerie_ArtisticCreation.FV
110 reference(s)
11-Vcatalogue.11
106 reference(s)		12-Galerie_TextureSynthesis.FV
106 reference(s)
13-GoldenTriangle.01.Fra
81 reference(s)		14-Galerie_ParticleSystems.FV
80 reference(s)
15-Galerie_FluidMechanics.FV
80 reference(s)		16-Galerie_GeneralitiesVisualization.FV
75 reference(s)
17-help.
69 reference(s)		18-SurfaceProjector.01.Ang
68 reference(s)
19-NDimensionalDeterministicFractalSets.01.Fra
67 reference(s)		20-Galerie_DeterministicFractalGeometry.FV
65 reference(s)
21-mail.01.vv
62 reference(s)		22-Informations_GoodNewsAndBadNews.01.Fra
62 reference(s)
23-GenieLogiciel_VisualisationScientifique.01.vv
62 reference(s)		24-Fractal.01
62 reference(s)
25-PerteDeLAssociativite.01
60 reference(s)		26-FloatingPointNumbers.01.Fra
60 reference(s)
27-MonodimensionalCellularAutomata.01.Ang
58 reference(s)		28-BEST.20170128
58 reference(s)
29-SurfaceProjector.01.Fra
56 reference(s)		30-Galerie_ImagesDesMathematiques.FV
55 reference(s)
31-EnsembleDesGaleries.DIAPO.0496
55 reference(s)		32-EnsembleDesGaleries.DIAPO.0027
55 reference(s)
33-AProposSite.01.Fra
53 reference(s)		34-DecimalesPi_1_100.vv
52 reference(s)
35-ConjectureDeSyracuse_0256.vv
52 reference(s)		36-AVirtualSpaceTimeTravelMachine.Fra
52 reference(s)
37-BEST.20151228
51 reference(s)		38-Galerie_ImagesDidactiques.FV
50 reference(s)
39-BEST.20121128
50 reference(s)		40-VisitesGaleriesEnfouies.01.Fra
49 reference(s)
41-LOG_xiMc.11
49 reference(s)		42-GoldenTriangle.01.Ang
49 reference(s)
43-UlamSpiral.01.Fra
48 reference(s)		44-NatureDesMathematiques.01.vv.Fra
48 reference(s)
45-EntrelacsIntertwinings.01.Ang.DIAPO.0572
48 reference(s)		46-ArtScience.11.Ang.DIAPO.0024
48 reference(s)
47-EnsembleDesGaleries.DIAPO.0139
47 reference(s)		48-xiirv_____.nota.t.
46 reference(s)
49-Stereogrammes_AutoStereogrammes.01
46 reference(s)		50-MathematiquesPhysiqueFractales.02.1
46 reference(s)
51-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
46 reference(s)		52-Galerie_DeterministicFractalGeometry.DIAPO.0028
46 reference(s)
53-EnsembleDesGaleries.DIAPO.1085
46 reference(s)		54-Commentaires_NautileDeJeener.01
46 reference(s)
55-Commentaires_DefinitionTransformeeDeFourier.01
46 reference(s)		56-EntrelacsIntertwinings.01.Ang.DIAPO.0517
45 reference(s)
57-EntrelacsIntertwinings.01.Ang.DIAPO.0461
45 reference(s)		58-EnsembleDesGaleriesFractales.DIAPO.0008
45 reference(s)
59-BEST.20190128
45 reference(s)		60-BEST.20171228
45 reference(s)
61-AnimFractal.01.
45 reference(s)		62-infinity.01.vv
44 reference(s)
63-EntrelacsIntertwinings.01.Ang.DIAPO.0503
44 reference(s)		64-EntrelacsIntertwinings.01.Ang.DIAPO.0226
44 reference(s)
65-EnsembleDesGaleries.DIAPO.0341
44 reference(s)		66-EnsembleDesGaleries.DIAPO.0185
44 reference(s)
67-Exposition_EcolePolytechnique_FeteDeLaScience_201910
43 reference(s)		68-EntrelacsIntertwinings.01.Ang.DIAPO.0223
43 reference(s)
69-EntrelacsIntertwinings.01.Ang.DIAPO.0076
43 reference(s)		70-EnsembleDesGaleries.DIAPO.1042
43 reference(s)
71-NombresPremiers_10000.vv
42 reference(s)		72-MonodimensionalCellularAutomata.01.Fra
42 reference(s)
73-Galerie_GeneralitiesVisualization.DIAPO.0097
42 reference(s)		74-Galerie_FluidMechanics.DIAPO.0004
42 reference(s)
75-Fractal.03
42 reference(s)		76-FloatingPointNumbers.01.Ang
42 reference(s)
77-EnsembleDesGaleries.DIAPO.1102
42 reference(s)		78-EnsembleDesGaleries.DIAPO.1076
42 reference(s)
79-EnsembleDesGaleries.DIAPO.1017
42 reference(s)		80-EnsembleDesGaleries.DIAPO.0637
42 reference(s)
81-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
42 reference(s)		82-Commentaires_Hyperboloide.01
42 reference(s)
83-Galerie_DeterministicFractalGeometry.DIAPO.0043
41 reference(s)		84-Galerie_CelestialMechanics.FV
41 reference(s)
85-Galerie_Astrophysics.FV
41 reference(s)		86-Fractal.11
41 reference(s)
87-EnsembleDesGaleries.DIAPO.1143
41 reference(s)		88-EnsembleDesGaleries.DIAPO.0625
41 reference(s)
89-EnsembleDesGaleries.DIAPO.0393
41 reference(s)		90-EnsembleDesGaleries.DIAPO.0014
41 reference(s)
91-Galerie_SelfPortraits.FV
40 reference(s)		92-Fractal.21
40 reference(s)
93-EntrelacsIntertwinings.01.Ang.DIAPO.0479
40 reference(s)		94-EntrelacsIntertwinings.01.Ang.DIAPO.0215
40 reference(s)
95-EntrelacsIntertwinings.01.Ang.DIAPO.0061
40 reference(s)		96-EnsembleDesGaleries.DIAPO.0785
40 reference(s)
97-EnsembleDesGaleries.DIAPO.0523
40 reference(s)		98-EnsembleDesGaleries.DIAPO.0483
40 reference(s)
99-NDimensionalDeterministicFractalSets.01.Ang
39 reference(s)		100-EntrelacsIntertwinings.01.Ang.DIAPO.0566
39 reference(s)
101-EntrelacsIntertwinings.01.Ang.DIAPO.0429
39 reference(s)		102-EntrelacsIntertwinings.01.Ang.DIAPO.0105
39 reference(s)
103-BEST.20190428
39 reference(s)		104-Kepler.02.
38 reference(s)
105-Galerie_DeterministicChaos.FV
38 reference(s)		106-FaireDeLaRecherche.01.vv
38 reference(s)
107-ExpV_VirE.11
38 reference(s)		108-EntrelacsIntertwinings.01.Ang.DIAPO.0413
38 reference(s)
109-EntrelacsIntertwinings.01.Ang.DIAPO.0391
38 reference(s)		110-EntrelacsIntertwinings.01.Ang.DIAPO.0305
38 reference(s)
111-EnsembleDesGaleries.DIAPO.1140
38 reference(s)		112-EnsembleDesGaleries.DIAPO.0524
38 reference(s)
113-EnsembleDesGaleries.DIAPO.0505
38 reference(s)		114-EnsembleDesGaleries.DIAPO.0378
38 reference(s)
115-EnsembleDesGaleries.DIAPO.0258
38 reference(s)		116-EnsembleDesGaleries.DIAPO.0132
38 reference(s)
117-CompressionDeCompression_ComplexiteStructurelle.CDCM3_I1.01
38 reference(s)		118-Autostereograms.01.
38 reference(s)
119-subject.01.
37 reference(s)		120-EntrelacsIntertwinings.01.Ang.DIAPO.0526
37 reference(s)
121-EntrelacsIntertwinings.01.Ang.DIAPO.0257
37 reference(s)		122-EnsembleDesGaleries.DIAPO.1147
37 reference(s)
123-EnsembleDesGaleries.DIAPO.0497
37 reference(s)		124-CompressionDeCompression_ComplexiteStructurelle.JPEG2000_ZK.01
37 reference(s)
125-BEST.20180428
37 reference(s)		126-create.03.
36 reference(s)
127-Galerie_Tributes.FV
36 reference(s)		128-EntrelacsIntertwinings.01.Ang.DIAPO.0400
36 reference(s)

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Copyright © Jean-François COLONNA, 2022-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2022-2024.