Monthly Best Of on 03/29/2022




A pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0) with 24 iterations -tridimensional cross-section-

Jean-François COLONNA

www.lactamme.polytechnique.fr

jean-francois.colonna@polytechnique.edu
CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, Ecole Polytechnique, CNRS, 91128 Palaiseau Cedex, France

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Contents of this page:


1-The 128 most referenced Pictures (*):

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



The distance {Earth-Mars} -millions of kilometers- starting on 01/01/1950 AD and during seven marsian years
1-114 reference(s)		 Artistic view of the prime numbers
2-40 reference(s)		 Autostereogram with an hidden volcano
3-26 reference(s)		 Autostereogram with an hidden volcano
4-26 reference(s)
No Title 0004
5-25 reference(s)		 Pseudo Olympic Rings
6-20 reference(s)		 The [0,1] -->[0,1]x[0,1] Peano Surjection -T defined with 6 digits-
7-20 reference(s)		 Electron diffraction
8-20 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
9-18 reference(s)		 The Sierpinski carpet -iteration 1 to 5-
10-16 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
11-15 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
12-15 reference(s)
The evolution of the bidimensional field defining the three coordinates of a Klein bottle using the Lorenz attractor
13-15 reference(s)		 A regular 7-gon -an heptagon-
14-14 reference(s)		 Bidimensional Hilbert Curve -iteration 5-
15-14 reference(s)		 Tridimensional Hilbert Curve -iteration 4-
16-14 reference(s)
The Universe at the heart of a Calabi-Yau manifold
17-13 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
18-13 reference(s)		 Autostereogram with an hidden ring and ghost bows
19-13 reference(s)		 The random walk of photons escaping the Sun
20-13 reference(s)
This is not a cloud
21-13 reference(s)		 The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
22-13 reference(s)		 The Lorenz attractor
23-13 reference(s)		 The Bonan-Jeener-Klein triple bottle
24-13 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
25-12 reference(s)		 A one sheet hyperboloid of revolution -negative curvature-
26-12 reference(s)		 Jigsaw puzzle with a self-Portrait
27-12 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
28-11 reference(s)
The intersection of the Menger sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation-
29-11 reference(s)		 A tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
30-11 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
31-11 reference(s)		 Jean-François Colonna (on 11/17/1994)with its fractal mountains
32-11 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
33-11 reference(s)		 The first four iterations of the construction of the von Koch snowflake
34-10 reference(s)		 A pseudo-periodical Penrose tiling of the plane
35-10 reference(s)		 A tridimensional intertwining
36-10 reference(s)
Autostereogram with an hidden volcano
37-10 reference(s)		 This is not a cloud
38-10 reference(s)		 The double reflection -green- of a small regular tetrahedron -center red-
39-10 reference(s)		 Quark and gluon structure of the meson
40-10 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
41-10 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
42-10 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
43-10 reference(s)		 A tribute to Sandro Botticelli
44-10 reference(s)
The Jeener-Klein triple bottle
45-10 reference(s)		 A tridimensionally distorded pseudo-periodical Penrose tiling of the plane
46-9 reference(s)		 Autostereogram of the CMAP
47-9 reference(s)		 The Klein bottle defined by means of three bidimensional fields
48-9 reference(s)
The Ulam spiral with display of the first '4-twin' prime numbers
49-9 reference(s)		 The generalized Ulam spiral displaying 100 numbers
50-9 reference(s)		 The Eratosthene sieve displaying 10x10 numbers
51-9 reference(s)		 Rotation about the X axis of the 32 vertices of a 5-cube
52-9 reference(s)
Iterations in the complex plane: the computation of the Mandelbrot set
53-9 reference(s)		 Iterations in the complex plane: the computation of the Mandelbrot set
54-9 reference(s)		 Black dots on a square lattice
55-9 reference(s)		 The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
56-9 reference(s)
A fractal Möbius strip
57-9 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
58-9 reference(s)		 The Jeener-Klein triple bottle
59-9 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0]
60-8 reference(s)
The construction process of the von Koch curve -iteration 3-
61-8 reference(s)		 Universe or Multiverse -The fractal Universe-?
62-8 reference(s)		 The 64 first lines of the Pascal's Triangle
63-8 reference(s)		 A pseudo-periodical Penrose tiling of the plane
64-8 reference(s)
The self-similarity of a perfect bidimensional fractal tree
65-8 reference(s)		 The random walk of photons escaping the Sun
66-8 reference(s)		 The Sierpinski carpet -iteration 3-
67-8 reference(s)		 The Sierpinski carpet -iteration 1-
68-8 reference(s)
The Boy surface
69-8 reference(s)		 Recursive subdivision of four Golden Rectangles -a tribute to Piet Mondrian-
70-8 reference(s)		 An Archimedes spiral displaying 1000 numbers
71-8 reference(s)		 An Archimedes spiral displaying 100 numbers
72-8 reference(s)
Artistic view of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0) -tridimensional cross-section-
73-8 reference(s)		 Portrait (Lena)-1x1 square-
74-8 reference(s)		 Quark and gluon structure of the nucleon
75-8 reference(s)		 Quark and gluon structure of a nucleon
76-8 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
77-8 reference(s)		 N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
78-8 reference(s)		 An arbitrary surface (Jeener surface 2)in motion
79-8 reference(s)		 Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
80-8 reference(s)
Fractal Self-Portrait -a tribute to René Magritte-
81-8 reference(s)		 Happy new year 2000
82-8 reference(s)		 A shell (Jeener surface 1)
83-8 reference(s)		 Erosion of a bidimensional random (with small scale correlations)island
84-8 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
85-8 reference(s)		 The Klein bottle
86-8 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
87-8 reference(s)		 Numerical value table -trigonometric functions-
88-7 reference(s)
The Klein bottle
89-7 reference(s)		 A dynamics of four interlaced torus defined by means of three sets of bidimensional fields
90-7 reference(s)		 An octogonal tiling of the hyperbolic Poincaré disk -iteration 5-
91-7 reference(s)		 The [0,1] -->[0,1]x[0,1] Peano Surjection -T defined with 4 digits-
92-7 reference(s)
Spring Time in Monument Valley
93-7 reference(s)		 Mountains and fog
94-7 reference(s)		 Quark and gluon structure of a nucleon
95-7 reference(s)		 An arbitrary surface (Jeener surface 2)
96-7 reference(s)
The intersection of the Menger sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation-
97-7 reference(s)		 The Menger sponge -iteration 4- with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
98-7 reference(s)		 No Title 0230
99-7 reference(s)		 An amazing cross-section inside the Menger sponge -iteration 5-
100-7 reference(s)
The Menger sponge -iteration 5-
101-7 reference(s)		 A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
102-7 reference(s)		 Bidimensional zoom in on the Mandelbrot set
103-7 reference(s)		 7-foil torus knot on its torus
104-7 reference(s)
Tridimensional display of the Z=Zeta(Z)iteration inside [-20.0,+20.0]x[-20.0,+20.0] (bird's-eye view)
105-7 reference(s)		 Iterations in the complex plane
106-7 reference(s)		 Zollner optical illusion
107-7 reference(s)		 A bidimensional fern computed by means of an 'Iterated Function System' -IFS-
108-7 reference(s)
The Goldbach conjecture
109-7 reference(s)		 Sixteen interlaced fractal torus
110-7 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
111-7 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
112-7 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
113-7 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
114-7 reference(s)		 Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold that can also be viewed as a set of 4x3 stereograms
115-7 reference(s)		 'Organic' network -64 nodes-
116-7 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
117-7 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
118-6 reference(s)		 Artistic view of the Big Bang
119-6 reference(s)		 A pseudo-periodical Penrose tiling of the Golden Decagon
120-6 reference(s)
A pseudo-periodical Penrose tiling of the plane
121-6 reference(s)		 A pseudo-periodical triangular tiling of the plane
122-6 reference(s)		 The Syracuse conjecture for U(0)={5,6,7,8,...,68} -tridimensional display-
123-6 reference(s)		 The Syracuse conjecture for U(0)={3,6,9,12,...,786432}
124-6 reference(s)
The Mathematics are the key of the Multiverse
125-6 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
126-6 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
127-6 reference(s)		 Quaternionic shell fossil
128-6 reference(s)




2-The 128 most referenced Pages (*):

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



1-help.
7610 reference(s)		 2-mail.01.vv
6709 reference(s)
3-Vcatalogue.11
6433 reference(s)		 4-An2000.01.Fra
6401 reference(s)
5-copyright.01.
6212 reference(s)		 6-Commentaires_DefinitionQuaternions.01
458 reference(s)
7-Commentaires_DefinitionPseudoQuaternions.01
442 reference(s)		 8-AVirtualSpaceTimeTravelMachine.Ang
389 reference(s)
9-AnimFractal.01.
376 reference(s)		 10-Informations_AboutPicturesAnimationsAndFiles.01.Ang
324 reference(s)
11-Commentaires_EnsembleJuliaQuaternion.01
308 reference(s)		 12-demo_14
281 reference(s)
13-Fractal.11
280 reference(s)		 14-xiirc_____.nota.t.
271 reference(s)
15-Galerie_NumberTheory.FV
221 reference(s)		 16-xiirv_____.nota.t.
218 reference(s)
17-Commentaires_EnsembleMandelbrotQuaternion.01
216 reference(s)		 18-Galerie_ArtisticCreation.FV
193 reference(s)
19-Commentaires_DefinitionOctonions.01
192 reference(s)		 20-An2000.01.Ang
186 reference(s)
21-Commentaires_EnsembleMandelbrotOctonion.01
178 reference(s)		 22-Galerie_ParticleSystems.FV
175 reference(s)
23-Galerie_GeneralitiesVisualization.FV
171 reference(s)		 24-Commentaires_DefinitionPseudoOctonions.01
148 reference(s)
25-Galerie_DeterministicFractalGeometry.FV
138 reference(s)		 26-Galerie_CelestialMechanics.FV
134 reference(s)
27-xiirs_____.nota.t.
131 reference(s)		 28-AVirtualSpaceTimeTravelMachine.Fra
131 reference(s)
29-SurfaceProjector.01.Fra
127 reference(s)		 30-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
127 reference(s)
31-LOG_xiMc.11
123 reference(s)		 32-Galerie_Tributes.FV
119 reference(s)
33-Galerie_ArtAndScience.FV
119 reference(s)		 34-Galerie_ImagesDidactiques.FV
114 reference(s)
35-MathematiquesPhysiqueFractales.22
113 reference(s)		 36-Autostereograms.01.
113 reference(s)
37-Galerie_ImagesDesMathematiques.FV
107 reference(s)		 38-present.01.
106 reference(s)
39-GoldenTriangle.01.Fra
105 reference(s)		 40-Galerie_DeterministicChaos.FV
102 reference(s)
41-Galerie_QuantumMechanics.FV
101 reference(s)		 42-Galerie_NewPictures.FV
100 reference(s)
43-Galerie_TextureSynthesis.FV
98 reference(s)		 44-MorePages.Ang.
97 reference(s)
45-create.03.
94 reference(s)		 46-FloatingPointNumbers.01.Fra
93 reference(s)
47-EntrelacsIntertwinings.01.Ang
92 reference(s)		 48-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
90 reference(s)
49-Galerie_SensitivityToRoundingOffErrors.FV
90 reference(s)		 50-GoldenTriangle.01.Ang
89 reference(s)
51-Galerie_Astrophysics.FV
89 reference(s)		 52-SurfaceProjector.01.Ang
86 reference(s)
53-MorePages.Fra.
86 reference(s)		 54-MonodimensionalCellularAutomata.01.Fra
86 reference(s)
55-MonodimensionalCellularAutomata.01.Ang
85 reference(s)		 56-catalogue.11
84 reference(s)
57-AProposSite.01.Fra
84 reference(s)		 58-UlamSpiral.01.Fra
83 reference(s)
59-ImpossibleStructures.01.Ang
83 reference(s)		 60-DecimalesPi_100000.vv
83 reference(s)
61-Informations_GoodNewsAndBadNews.01.Fra
82 reference(s)		 62-VirtualChaos.01.Fra
80 reference(s)
63-Web_Mail.01.vv
79 reference(s)		 64-NDimensionalDeterministicFractalSets.01.Fra
79 reference(s)
65-Stereogrammes_AutoStereogrammes.01
78 reference(s)		 66-NDimensionalDeterministicFractalSets.01.Ang
78 reference(s)
67-Galerie_SignalProcessing.FV
77 reference(s)		 68-Galerie_BestOf.FV
77 reference(s)
69-Fractal.01
77 reference(s)		 70-Galerie_AnthropomorphicPatterns.FV
76 reference(s)
71-FloatingPointNumbers.01.Ang
76 reference(s)		 72-NatureDesMathematiques.01.vv.Fra
75 reference(s)
73-MathematiquesPhysiqueFractales.02
74 reference(s)		 74-Kepler.02.
74 reference(s)
75-Informations_GoodNewsAndBadNews.01.Ang
74 reference(s)		 76-EntrelacsIntertwinings.01.Fra
74 reference(s)
77-DecimalesPi_1_100.vv
74 reference(s)		 78-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
74 reference(s)
79-ImagesEncadreesDisponibles.01
73 reference(s)		 80-GenieLogiciel_VisualisationScientifique.01.vv
72 reference(s)
81-Commentaires_EnsembleJuliaOctonion.01
72 reference(s)		 82-Fractal.21
71 reference(s)
83-ImagesDuVirtuel.01.Fra
70 reference(s)		 84-GenieLogiciel.01.Fra
70 reference(s)
85-Galerie_FluidMechanics.FV
70 reference(s)		 86-Fractal.03
70 reference(s)
87-Commentaires_EspaceLyapunovComplexe.01
70 reference(s)		 88-xiak_____.nota.t.
69 reference(s)
89-infinity.01.vv
69 reference(s)		 90-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
69 reference(s)
91-FaireDesMathematiques.01.Fra
69 reference(s)		 92-OrdinateursEtCalculs.01.Ang
68 reference(s)
93-VisitesGaleriesEnfouies.01.Fra
67 reference(s)		 94-Informations_AboutPicturesAnimationsAndFiles.01.Fra
67 reference(s)
95-Galerie_SalonDAutomne.FV
67 reference(s)		 96-subject.01.
66 reference(s)
97-VisitesGaleriesEnfouies.01.Ang
66 reference(s)		 98-Polynomials_RationalNumbers.01.Fra
66 reference(s)
99-PatrimoineHumanite.02.Fra
66 reference(s)		 100-MathematiquesPhysiqueFractales.12
66 reference(s)
101-MOSA.PAYS.u9.M.20031207
66 reference(s)		 102-Commentaires_NKleinBottle.01
66 reference(s)
103-ImagesDuVirtuel.01.Fra.FV
65 reference(s)		 104-ArtEtMathematiques.01
65 reference(s)
105-xDarchivesG__CMS5__sources__CMS5_____SIS_CMS5_12
64 reference(s)		 106-UlamSpiral.01.Ang
64 reference(s)
107-DieuScience.01.Ang
64 reference(s)		 108-ConjectureDeSyracuse_0256.vv
64 reference(s)
109-xDarchivesG__SMC__sources__SMC_____SI_G2
63 reference(s)		 110-RemarquesCerveau.01
63 reference(s)
111-MiseEnSceneDesNombres.01.vv.Fra
63 reference(s)		 112-ManyChaos.01.Fra
63 reference(s)
113-IllusionConnaissance.02
63 reference(s)		 114-GenieLogiciel.01.Ang
63 reference(s)
115-Exposition_MairieCinquiemeArrondissementParis_202001_202002
63 reference(s)		 116-ExpV_VirE.11
63 reference(s)
117-Definitions_4_connexite.01
63 reference(s)		 118-BEST.20070628
63 reference(s)
119-VirtualChaos.01.Ang
62 reference(s)		 120-Pcatalogue.11
62 reference(s)
121-ManyChaos.01.Ang
62 reference(s)		 122-LeParadoxeDeFermi.01.Fra
62 reference(s)
123-ImpossibleStructures.01.Fra
62 reference(s)		 124-Galerie_NumbersAndLight.FV
62 reference(s)
125-FaireDeLaRecherche.01.vv
62 reference(s)		 126-Exposition_EcolePolytechnique_FeteDeLaScience_201910
62 reference(s)
127-xias_____.nota.t.
61 reference(s)		 128-VisualisationRelief.01.vv.Fra
61 reference(s)

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Copyright © Jean-François Colonna, 2022-2022.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2022-2022.