Monthly Best Of on 11/28/2024




A pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0) -tridimensional cross-section-

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 11/28/2024 and last updated on 11/28/2024 22:06:18 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The eroded Menger Sponge -iteration 3-
1-515 reference(s)		The Goldbach conjecture
2-157 reference(s)		Autostereogram with an hidden volcano
3-155 reference(s)		The self-similarity of the von Koch curve displayed by means of a zoom in with a ratio that is equal to 3
4-154 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
5-115 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
6-112 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
7-109 reference(s)		The Sierpinski Carpet -iteration 1 to 5-
8-101 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
9-98 reference(s)		Bidimensional Hilbert Curve -iteration 5-
10-97 reference(s)		The distance {Earth-Mars} -millions of kilometers- starting on 01/01/1950 AD and during seven marsian years
11-94 reference(s)		Artistic view of the prime numbers
12-91 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
13-89 reference(s)		A tridimensional field
14-88 reference(s)		24 evenly distributed points on a sphere by means of simulated annealing
15-85 reference(s)		The K-smooth integers on a generalized Ulam spiral
16-84 reference(s)
The Menger Sponge -iteration 5-
17-84 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
18-84 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
19-84 reference(s)		The 2/3/5/7/11/13/17-smooth integers on a generalized Ulam spiral
20-83 reference(s)
Coalescence of 40832 particles -black holes?- inside a tridimensional parallelepipedic billiard -a static, non relativistic and bounded universe- with display of the dynamics of the mass histogram, during 409.6 time units
21-79 reference(s)		The Bonan-Jeener double bottle
22-79 reference(s)		The Bonan-Jeener-Klein triple bottle
23-79 reference(s)		A tridimensional field
24-78 reference(s)
A tridimensional field
25-78 reference(s)		Some tridimensional pseudo-random walks -cartesian coordinates- defined by means of the 99.999 first decimals of 'pi' (141592...)and 'e' (718281...) -base 10- with 33.333 time steps
26-78 reference(s)		Quark and gluon structure of a nucleon
27-78 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
28-78 reference(s)
A tridimensional field
29-77 reference(s)		A tridimensional field
30-77 reference(s)		A tridimensional field
31-76 reference(s)		A tridimensional field
32-76 reference(s)
A tridimensional field made of a tridimensional cubic mesh
33-76 reference(s)		A tridimensional field
34-76 reference(s)		Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
35-76 reference(s)		A tridimensional intertwining
36-75 reference(s)
A tridimensional field
37-75 reference(s)		A tridimensional field
38-75 reference(s)		A tridimensional field
39-75 reference(s)		A tridimensional field
40-75 reference(s)
The Universe at the heart of a Calabi-Yau manifold
41-74 reference(s)		A tridimensional field
42-74 reference(s)		A tridimensional field
43-74 reference(s)		A tridimensional field
44-74 reference(s)
A tridimensional field
45-73 reference(s)		A tridimensional field
46-73 reference(s)		A tridimensional field
47-73 reference(s)		A tridimensional field made of a random tridimensional binary tree
48-73 reference(s)
A tridimensional field made of a random tridimensional binary tree
49-73 reference(s)		A tridimensional intertwining
50-73 reference(s)		Autostereogram with an hidden volcano
51-73 reference(s)		A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
52-73 reference(s)
A tridimensional field
53-72 reference(s)		A tridimensional field made of the Menger Sponge -iteration 5-
54-72 reference(s)		A tridimensional field
55-72 reference(s)		A tridimensional field
56-72 reference(s)
A tridimensional field
57-72 reference(s)		A tridimensional field
58-72 reference(s)		A tridimensional field
59-72 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
60-72 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
61-72 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
62-72 reference(s)		A tridimensional field
63-71 reference(s)		A tridimensional field
64-71 reference(s)
A tridimensional field
65-71 reference(s)		A tridimensional field
66-71 reference(s)		A tridimensional field
67-71 reference(s)		Untitled 0323
68-71 reference(s)
A tridimensional field made of a tridimensional cross-section inside a pseudo-octonionic Julia set
69-71 reference(s)		The random walk of photons escaping the Sun
70-71 reference(s)		A sphere described by means of a Bidimensional Hilbert Curve -iteration 5-
71-71 reference(s)		The Cantor Triadic Set -iterations 0 to 5-
72-71 reference(s)
A tridimensional field
73-70 reference(s)		A tridimensional field made of a random tridimensional binary tree
74-70 reference(s)		A tridimensional field made of a random tridimensional binary tree
75-70 reference(s)		A tridimensional field
76-70 reference(s)
A tridimensional field made of a tridimensional cross-section inside a pseudo-octonionic Julia set
77-70 reference(s)		A tridimensional field
78-70 reference(s)		The Ulam spiral displaying 2025 numbers
79-70 reference(s)		Tridimensional Hilbert Curve -iteration 4-
80-70 reference(s)
A tridimensional field made of the Menger Sponge -iteration 5-
81-69 reference(s)		A tridimensional intertwining
82-69 reference(s)		A tridimensional intertwining
83-69 reference(s)		A tridimensional intertwining
84-69 reference(s)
The K-smooth integers on a generalized Ulam spiral
85-69 reference(s)		The K-smooth integers on a generalized Ulam spiral
86-69 reference(s)		Untitled 0341
87-68 reference(s)		A tridimensional field
88-68 reference(s)
A tridimensional field
89-68 reference(s)		A tridimensional intertwining
90-68 reference(s)		Tridimensional pseudo-random walks -spherical coordinates- defined by means of the 99.999 first decimals of 'pi' (141592...)and 'e' (718281...) -base 10- with 33.333 time steps
91-67 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
92-66 reference(s)
A torus
93-66 reference(s)		A tridimensional intertwining
94-66 reference(s)		A tridimensional field
95-66 reference(s)		A tridimensional field
96-66 reference(s)
A tridimensional intertwining
97-66 reference(s)		A tridimensional intertwining
98-66 reference(s)		The 2/3/5/7-smooth integers
99-66 reference(s)		The erosion of an amazing cross-section inside the Menger Sponge -iteration 2- with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
100-66 reference(s)
A distorded -for the sake of display- 5-cube -an hyperhypercube-
101-66 reference(s)		A tridimensional intertwining
102-65 reference(s)		A tridimensional field made of a random tridimensional binary tree
103-65 reference(s)		A tridimensional intertwining
104-65 reference(s)
A tridimensional intertwining
105-65 reference(s)		A tridimensional field
106-65 reference(s)		The [0,1] --> [0,1]x[0,1] Peano Surjection -T defined with 6 digits-
107-65 reference(s)		A half-random extended Menger Sponge -iteration 5-
108-65 reference(s)
A tridimensional field made of the Menger Sponge -iteration 5-
109-64 reference(s)		A set of 4x3 stereograms displaying a tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -90.000 digits, -base 10- with 30.000 time steps
110-64 reference(s)		The Lorenz attractor
111-64 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
112-63 reference(s)
The first four iterations of the construction of the von Koch snowflake
113-63 reference(s)		A random tridimensional binary tree
114-63 reference(s)		A tridimensional field
115-63 reference(s)		A tridimensional field
116-63 reference(s)
A tridimensional field made of the Menger Sponge -iteration 5-
117-63 reference(s)		A tridimensional intertwining inside the Bonan-Jeener-Klein triple bottle
118-63 reference(s)		The K-smooth integers on a Bidimensional Hilbert Curve -iteration 5-
119-63 reference(s)		The K-smooth integers on a generalized Ulam spiral
120-63 reference(s)
The Menger Sponge -iteration 2-
121-63 reference(s)		The DNA of Mathematics -the 480 first digits of 'pi' and '1/pi'-
122-63 reference(s)		Tridimenional display of the Goldbach conjecture
123-63 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
124-63 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
125-63 reference(s)		A Tridimensional Hilbert-like Curve defined with {X2(...),Y2(...),Z2(...)} -iteration 2-
126-62 reference(s)		The Tridimensional [0,1] --> [0,1]x[0,1]x[0,1] Peano Surjection -T defined with 6 digits-
127-62 reference(s)		The K-smooth integers on a generalized Ulam spiral
128-62 reference(s)




2-The 128 most referenced Pages (*):

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



1-AVirtualSpaceTimeTravelMachine.Ang
1989 reference(s)		2-xiirv_____.nota.t.
461 reference(s)
3-Web_Mail.01.vv
274 reference(s)		4-Vcatalogue.11
260 reference(s)
5-xiirc_____.nota.t.
200 reference(s)		6-ChatGPT.01.Fra
194 reference(s)
7-IAGenerativesImages.01.Fra
183 reference(s)		8-ChatGPT.11.Fra
177 reference(s)
9-xiirf_____.nota.t.
174 reference(s)		10-Stereogrammes_AutoStereogrammes.01
157 reference(s)
11-xiirs_____.nota.t.
142 reference(s)		12-help.
124 reference(s)
13-Galerie_ArtisticCreation.FV
121 reference(s)		14-UlamSpiral.01.Fra
106 reference(s)
15-EntrelacsIntertwinings.01.Fra
105 reference(s)		16-Galerie_NumberTheory.FV
97 reference(s)
17-Fractal.01
96 reference(s)		18-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
94 reference(s)
19-Galerie_Pi.FV
93 reference(s)		20-Galerie_ParticleSystems.FV
93 reference(s)
21-demo_14
91 reference(s)		22-xiirk_____.nota.t.
85 reference(s)
23-Galerie_Animations.FV
83 reference(s)		24-An2000.01.Fra
83 reference(s)
25-Galerie_GeneralitiesVisualization.FV
81 reference(s)		26-Fractal.21
78 reference(s)
27-ChatGPT.11.Ang
76 reference(s)		28-Galerie_ImagesDesMathematiques.FV
75 reference(s)
29-ChatGPT.01.Ang
75 reference(s)		30-mail.01.vv
72 reference(s)
31-avirtualspacetimetravelmachine.ang
72 reference(s)		32-NombresPremiers_10000.vv
69 reference(s)
33-Galerie_ArtAndScience.FV
69 reference(s)		34-ulamspiral.01.fra
68 reference(s)
35-An2000.06.Fra
67 reference(s)		36-Galerie_QuantumMechanics.FV
66 reference(s)
37-subject.01.
64 reference(s)		38-copyright.01.
64 reference(s)
39-FloatingPointNumbers.01.Fra
64 reference(s)		40-AProposSite.01.Fra
64 reference(s)
41-Exposition_EcolePolytechnique_CentenaireNaissanceBenoitMandelbrot_202410_202411_202412
62 reference(s)		42-Exposition_OperaDeMassy_201912_202001
61 reference(s)
43-NDimensionalDeterministicFractalSets.01.Fra
60 reference(s)		44-Informations_AboutPicturesAnimationsAndFiles.01.Ang
60 reference(s)
45-Galerie_DeterministicFractalGeometry.FV
60 reference(s)		46-Fractal.11
60 reference(s)
47-stereogrammes_autostereogrammes.01
59 reference(s)		48-Galerie_NewPictures.FV
59 reference(s)
49-Galerie_CelestialMechanics.DIAPO.0001
59 reference(s)		50-LesCourbesRemplissantes.01.Fra
58 reference(s)
51-FloatingPointNumbers.01.Ang
58 reference(s)		52-LOG_xiMc.11
56 reference(s)
53-Galerie_SelfPortraits.FV
56 reference(s)		54-catalogue.11
54 reference(s)
55-Galerie_ImagesDidactiques.FV
54 reference(s)		56-EntrelacsIntertwinings.01.Ang
54 reference(s)
57-NombresEtLumiere.01.vv.Fra
53 reference(s)		58-Informations_GoodNewsAndBadNews.01.Ang
52 reference(s)
59-ImagesDuVirtuel.01.Fra.FV
52 reference(s)		60-Galerie_TextureSynthesis.FV
52 reference(s)
61-DecimalesDePi.01.Fra
52 reference(s)		62-Polynomials_RationalNumbers.01.Fra
51 reference(s)
63-ExpV_VirE.11
51 reference(s)		64-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
50 reference(s)
65-AVirtualSpaceTimeTravelMachine.Fra
50 reference(s)		66-MorePages.Ang.
49 reference(s)
67-LeParadoxeDeFermi.01.Fra
49 reference(s)		68-Galerie_Astrophysics.FV
49 reference(s)
69-xiac_____.nota.t.
48 reference(s)		70-SurfaceProjector.01.Ang
48 reference(s)
71-Pcatalogue.11
48 reference(s)		72-MathematiquesPhysiqueFractales.22
48 reference(s)
73-ImpossibleStructures.01.Fra
47 reference(s)		74-PerteDeLAssociativite.01
46 reference(s)
75-MonodimensionalCellularAutomata.01.Fra
46 reference(s)		76-LesCourbesRemplissantes.02.Ang
46 reference(s)
77-Fractal.03
46 reference(s)		78-DieuScience.01.Fra
46 reference(s)
79-DecimalesPi_1_100.vv
46 reference(s)		80-fractal.01
45 reference(s)
81-create.03.
45 reference(s)		82-Informations_GoodNewsAndBadNews.01.Fra
45 reference(s)
83-IAGenerativesImages.01.Ang
45 reference(s)		84-xiia_____.nota.t.
44 reference(s)
85-Le_Chat.01.Fra
44 reference(s)		86-Galerie_SignalProcessing.FV
44 reference(s)
87-Bard.01.Ang
44 reference(s)		88-AnimFractal.01.
44 reference(s)
89-UlamSpiral.01.Ang
43 reference(s)		90-MiseEnSceneDesNombres.01.vv.Ang
43 reference(s)
91-Galerie_DeterministicChaos.FV
43 reference(s)		92-EnsembleDesGaleries.DIAPO.0001
43 reference(s)
93-RemarquesCerveau.01
42 reference(s)		94-LesCourbesRemplissantes.01.Ang
42 reference(s)
95-Autostereograms.01.
42 reference(s)		96-xiak_____.nota.t.
41 reference(s)
97-fractal.21
41 reference(s)		98-RealNumbers.01.Fra
41 reference(s)
99-MathematiquesPhysiqueFractales.02
41 reference(s)		100-Kepler.02.
41 reference(s)
101-Galerie_ImagesDesMathematiques.DIAPO.0006
41 reference(s)		102-Galerie_CelestialMechanics.FV
41 reference(s)
103-Exposition_EcolePolytechnique_FeteDeLaScience_201910
41 reference(s)		104-infinity.01.vv
40 reference(s)
105-PatrimoineHumanite.02.Fra
40 reference(s)		106-NDimensionalDeterministicFractalSets.01.Ang
40 reference(s)
107-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
40 reference(s)		108-MonodimensionalCellularAutomata.01.Ang
40 reference(s)
109-SurfaceProjector.01.Fra
39 reference(s)		110-OrdinateurMathematiquesArt.01.Fra
39 reference(s)
111-GoldenTriangle.01.Fra
39 reference(s)		112-Commentaires_DefinitionQuaternions.01
39 reference(s)
113-Bard.01.Fra
39 reference(s)		114-xias_____.nota.t.
38 reference(s)
115-present.01.
38 reference(s)		116-RasoirDOccamEtMathematiques.01.vv.Fra
38 reference(s)
117-Polynomials_RationalNumbers.01.Ang
38 reference(s)		118-OrdinateursEtCalculs.01.Fra
38 reference(s)
119-LesCourbesRemplissantes.02.Fra
38 reference(s)		120-LeParadoxeDeFermi.01.Ang
38 reference(s)
121-Galerie_AnthropomorphicPatterns.DIAPO.0001
38 reference(s)		122-NatureDesMathematiques.01.vv.Fra
37 reference(s)
123-Informations_AboutPicturesAnimationsAndFiles.01.Fra
37 reference(s)		124-Galerie_Tributes.FV
37 reference(s)
125-FaireDeLaRecherche.01.vv
37 reference(s)		126-Exposition_MairieCinquiemeArrondissementParis_202001_202002
37 reference(s)
127-ExpV_VirE.21
37 reference(s)		128-Commentaires_EnsembleMandelbrotOctonion.01
37 reference(s)

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




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