Monthly Best Of on 03/02/2022




A quaternionic Julia set -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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(CMAP28 WWW site: this page was created on 03/02/2022 and last updated on 03/02/2022 13:44:53 -CET-)




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
1-68 reference(s)		 This is not a cloud
2-10 reference(s)		 Autostereogram with an hidden volcano
3-9 reference(s)		 Autostereogram with an hidden volcano
4-9 reference(s)
This is not a cloud
5-9 reference(s)		 No Title 0004
6-8 reference(s)		 Pseudo Olympic Rings
7-6 reference(s)		 A tribute to Sandro Botticelli
8-6 reference(s)
The Klein bottle
9-6 reference(s)		 A tridimensionally distorded pseudo-periodical Penrose tiling of the plane
10-5 reference(s)		 Coalescence of 40832 particles -black holes?- inside a tridimensional parallelepipedic billiard
11-5 reference(s)		 The generalized Ulam spiral displaying 100 numbers
12-5 reference(s)
Paradoxal Monument Valley at sunset
13-5 reference(s)		 Jigsaw puzzle with a self-Portrait
14-5 reference(s)		 A pseudo-periodical Penrose tiling of the plane -the extended paradoxal demoniac Rubik's Cube-
15-4 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
16-4 reference(s)
The set of 'Y' bidimensional fields defining a fractal texture animation
17-4 reference(s)		 Autostereogram of the CMAP
18-4 reference(s)		 A torus by means of three bidimensional fields
19-4 reference(s)		 The Ulam spiral
20-4 reference(s)
A medium with percolation -top to bottom- using the <I>8-connexity</I>
21-4 reference(s)		 No Title 0502 (1972-1976)
22-4 reference(s)		 Anaglyph -blue=right, red=left- of a tridimensional filamentous fractal structure
23-4 reference(s)		 Artistic view of the prime numbers
24-4 reference(s)
The abelian -commutative- group defined on elliptic curves
25-4 reference(s)		 The Syracuse conjecture for U(0)={7,14,21,28,...,1835008}
26-3 reference(s)		 Generation of the 63x63 first Conway's surreal complex numbers
27-3 reference(s)		 Autostereogram with an hidden volcano
28-3 reference(s)
The Sierpinski carpet -iteration 3-
29-3 reference(s)		 A right-angled triangle
30-3 reference(s)		 Self-transformation of a simple dynamical geometric texture
31-3 reference(s)		 The Klein bottle defined by means of three bidimensional fields
32-3 reference(s)
The 8188 first prime numbers starting at 11 computed modulo 7 and displayed as an 'absolute' tridimensional random walk
33-3 reference(s)		 A regular 7-gon -an heptagon-
34-3 reference(s)		 The 2-17 first digits -base 10- of 'pi' displayed on a circle
35-3 reference(s)		 Paradoxal Monument Valley at sunset
36-3 reference(s)
Sunny Monument Valley
37-3 reference(s)		 Color palette 'fractal.A1'
38-3 reference(s)		 No Title 0551 (1972-1976)
39-3 reference(s)		 From 'geocentrism' to 'heliocentrism'
40-3 reference(s)
An arbitrary surface (Jeener surface 2)in motion
41-3 reference(s)		 No Title 0230
42-3 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
43-3 reference(s)		 Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
44-3 reference(s)
Jean-François Colonna (on 11/17/1994)with its fractal mountains
45-3 reference(s)		 Happy new year 2000
46-3 reference(s)		 Iterations in the complex plane
47-3 reference(s)		 Iterations in the complex plane
48-3 reference(s)
Sixteen interlaced fractal torus
49-3 reference(s)		 The Jeener hypocycloidal snail
50-3 reference(s)		 Electron diffraction
51-3 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
52-3 reference(s)
A punched card (almost the actual size)
53-3 reference(s)		 'Organic' network -64 nodes-
54-3 reference(s)		 'Organic' network -64 nodes-
55-3 reference(s)		 'Organic' network -64 nodes-
56-3 reference(s)
A special Klein bottle
57-3 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
58-2 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
59-2 reference(s)		 No Title 0014
60-2 reference(s)
Quantum vacuum fluctuations
61-2 reference(s)		 Impressionist tridimensional self-Portrait
62-2 reference(s)		 No Title 0205
63-2 reference(s)		 The construction process of a Penrose tiling -the Penrose tiling-
64-2 reference(s)
The construction process of a Penrose tiling -4 random subdivision iterations-
65-2 reference(s)		 The construction process of a Penrose tiling -3 random subdivision iterations-
66-2 reference(s)		 The construction process of a Penrose tiling -2 random subdivision iterations-
67-2 reference(s)		 The construction process of a Penrose tiling -1 random subdivision iteration-
68-2 reference(s)
The construction process of a Penrose tiling -a large golden triangle-
69-2 reference(s)		 A pseudo-periodical Penrose tiling of the Golden Decagon -level 6-
70-2 reference(s)		 A pseudo-periodical Penrose tiling of the Golden Decagon
71-2 reference(s)		 A pseudo-periodical Penrose tiling of the plane
72-2 reference(s)
A pseudo-periodical Penrose tiling of the plane
73-2 reference(s)		 A pseudo-periodical triangular tiling of the plane
74-2 reference(s)		 Magical forest
75-2 reference(s)		 16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
76-2 reference(s)
The Syracuse conjecture for U(0)={5,6,7,8,...,68} -'pseudo-ramdom walk' display: 'The Syracuse Pulsar'-
77-2 reference(s)		 The Syracuse conjecture for U(0)={5,6,7,8,...,68} -tridimensional display-
78-2 reference(s)		 The Syracuse conjecture for U(0)={5,10,15,20,...,1310720}
79-2 reference(s)		 The Syracuse conjecture for U(0)={1,2,3,4,...,262144}
80-2 reference(s)
Generation of the 63 first Conway's surreal numbers
81-2 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- inside a torus
82-2 reference(s)		 No Title 0335
83-2 reference(s)		 A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
84-2 reference(s)
A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
85-2 reference(s)		 No Title 0319
86-2 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
87-2 reference(s)		 No Title 0304
88-2 reference(s)
A bidimensional field
89-2 reference(s)		 The bidimensional field defining the 'X' coordinate of a sphere
90-2 reference(s)		 Paradoxal structure -from Order to Disorder-
91-2 reference(s)		 A simple geometrical periodical structure
92-2 reference(s)
A recursive intertwining animation
93-2 reference(s)		 Intertwining
94-2 reference(s)		 The Mathematics are the key of the Multiverse
95-2 reference(s)		 A simple geometrical periodical structure
96-2 reference(s)
A simple geometrical periodical structure
97-2 reference(s)		 A paradoxal structure
98-2 reference(s)		 A bidimensional field
99-2 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
100-2 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
101-2 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
102-2 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
103-2 reference(s)		 Autostereogram with an hidden ring and ghost bows
104-2 reference(s)
A sphere computed with the 'max-plus' arithmetic (maximum,addition)
105-2 reference(s)		 A sphere -positive curvature-
106-2 reference(s)		 2000 evenly distributed points on a sphere by means of the Fibonacci spiral
107-2 reference(s)		 The random walk of photons escaping the Sun
108-2 reference(s)
The Sierpinski carpet -iteration 1 to 5-
109-2 reference(s)		 The Boy surface in motion
110-2 reference(s)		 No Title 0381
111-2 reference(s)		 Coalescence of 40832 particles -black holes?- inside a tridimensional parallelepipedic billiard
112-2 reference(s)
Bidimensional billiard with 6 still -initially- particles submitted to an attractive central field of gravity
113-2 reference(s)		 Fractal diffusion front in a bidimensional medium obtained by means of identical interacting particles with spatial Fourier filtering
114-2 reference(s)		 Double bidimensional rectangular billiard with 64 isotropic particles and without collisions
115-2 reference(s)		 No Title 0361
116-2 reference(s)
Computation of the roots of Q^3=1 using Newton's method with translation along the third axis of the quaternionic space
117-2 reference(s)		 Visualization of the Newton's method when computing the roots of Z^8=1
118-2 reference(s)		 Visualization of the Newton's method when computing the roots of Z^2=1
119-2 reference(s)		 Computation of the roots of Z^5=1 using Newton's method
120-2 reference(s)
Quaternionic shell fossil
121-2 reference(s)		 There is an infinity of right-angled triangles
122-2 reference(s)		 24 evenly distributed points on a sphere by means of simulated annealing
123-2 reference(s)		 The bidimensional field defining the 'X' coordinate of a torus
124-2 reference(s)
The bidimensional field defining the 'Z' coordinate of the third 'power' of a torus
125-2 reference(s)		 Bidimensional cross-sections of the Klein bottle
126-2 reference(s)		 Bidimensional cross-sections of the Jeener unilateral node
127-2 reference(s)		 No Title 0300
128-2 reference(s)




2-The 128 most referenced Pages (*):

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



1-Commentaires_DefinitionQuaternions.01
416 reference(s)		 2-Commentaires_DefinitionPseudoQuaternions.01
339 reference(s)
3-Commentaires_EnsembleJuliaQuaternion.01
271 reference(s)		 4-An2000.01.Fra
210 reference(s)
5-Commentaires_EnsembleMandelbrotQuaternion.01
178 reference(s)		 6-xiirc_____.nota.t.
118 reference(s)
7-Vcatalogue.11
118 reference(s)		 8-an2000.01.fra
116 reference(s)
9-Galerie_NumberTheory.FV
111 reference(s)		 10-AVirtualSpaceTimeTravelMachine.Ang
98 reference(s)
11-Commentaires_DefinitionOctonions.01
92 reference(s)		 12-Galerie_ArtisticCreation.FV
81 reference(s)
13-help.
78 reference(s)		 14-Commentaires_EnsembleMandelbrotOctonion.01
78 reference(s)
15-demo_14
72 reference(s)		 16-Galerie_GeneralitiesVisualization.FV
66 reference(s)
17-Galerie_ParticleSystems.FV
64 reference(s)		 18-mail.01.vv
59 reference(s)
19-copyright.01.
57 reference(s)		 20-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
56 reference(s)
21-Galerie_DeterministicFractalGeometry.FV
56 reference(s)		 22-Galerie_ImagesDesMathematiques.FV
54 reference(s)
23-Informations_AboutPicturesAnimationsAndFiles.01.Ang
51 reference(s)		 24-An2000.01.Ang
48 reference(s)
25-Galerie_CelestialMechanics.FV
46 reference(s)		 26-MorePages.Ang.
43 reference(s)
27-Galerie_ArtAndScience.FV
42 reference(s)		 28-Commentaires_DefinitionPseudoOctonions.01
42 reference(s)
29-Galerie_ImagesDidactiques.FV
39 reference(s)		 30-LOG_xiMc.11
38 reference(s)
31-AVirtualSpaceTimeTravelMachine.Fra
38 reference(s)		 32-SurfaceProjector.01.Fra
37 reference(s)
33-Fractal.11
35 reference(s)		 34-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
33 reference(s)
35-Galerie_TextureSynthesis.FV
32 reference(s)		 36-Galerie_Astrophysics.FV
32 reference(s)
37-Autostereograms.01.
32 reference(s)		 38-Galerie_QuantumMechanics.FV
31 reference(s)
39-Galerie_DeterministicChaos.FV
31 reference(s)		 40-Commentaires_EnsembleJuliaOctonion.01
31 reference(s)
41-GoldenTriangle.01.Fra
30 reference(s)		 42-Galerie_Tributes.FV
30 reference(s)
43-SurfaceProjector.01.Ang
28 reference(s)		 44-MonodimensionalCellularAutomata.01.Fra
27 reference(s)
45-Galerie_SensitivityToRoundingOffErrors.FV
27 reference(s)		 46-Commentaires_EspaceLyapunovComplexe.01
27 reference(s)
47-present.01.
26 reference(s)		 48-ImagesEncadreesDisponibles.01
26 reference(s)
49-Galerie_NewPictures.FV
26 reference(s)		 50-FloatingPointNumbers.01.Fra
26 reference(s)
51-ImpossibleStructures.01.Ang
25 reference(s)		 52-AnimFractal.01.
25 reference(s)
53-MorePages.Fra.
24 reference(s)		 54-EntrelacsIntertwinings.01.Ang
24 reference(s)
55-Web_Mail.01.vv
23 reference(s)		 56-ImagesDuVirtuel.01.Fra.FV
23 reference(s)
57-Fractal.21
23 reference(s)		 58-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
23 reference(s)
59-UlamSpiral.01.Fra
22 reference(s)		 60-OrdinateursEtCalculs.01.Ang
22 reference(s)
61-NDimensionalDeterministicFractalSets.01.Fra
22 reference(s)		 62-Exposition_MairieCinquiemeArrondissementParis_202001_202002
22 reference(s)
63-xiirf_____.nota.t.
21 reference(s)		 64-Stereogrammes_AutoStereogrammes.01
21 reference(s)
65-MonodimensionalCellularAutomata.01.Ang
21 reference(s)		 66-Informations_GoodNewsAndBadNews.01.Fra
21 reference(s)
67-Galerie_SignalProcessing.FV
21 reference(s)		 68-Fractal.01
21 reference(s)
69-catalogue.11
20 reference(s)		 70-Kepler.02.
20 reference(s)
71-Informations_GoodNewsAndBadNews.01.Ang
20 reference(s)		 72-Galerie_FluidMechanics.FV
20 reference(s)
73-ExpV_VirE.Fra
20 reference(s)		 74-ExpV_VirE.11
20 reference(s)
75-EntrelacsIntertwinings.01.Fra
20 reference(s)		 76-AProposSite.01.Fra
20 reference(s)
77-GenieLogiciel.01.Fra
19 reference(s)		 78-Galerie_ParticleSystems
19 reference(s)
79-Galerie_BestOf.FV
19 reference(s)		 80-Galerie_AnthropomorphicPatterns.FV
19 reference(s)
81-FloatingPointNumbers.01.Ang
19 reference(s)		 82-DecimalesPi_1_100.vv
19 reference(s)
83-DecimalesPi_100000.vv
19 reference(s)		 84-ConjectureDeSyracuse_0256.vv
19 reference(s)
85-xDarchivesG__CMS5__sources__CMS5_____SIS_CMS5_12
18 reference(s)		 86-subject.01.
18 reference(s)
87-infinity.01.vv
18 reference(s)		 88-genielogiciel_visualisationscientifique.01.vv
18 reference(s)
89-create.03.
18 reference(s)		 90-MathematiquesPhysiqueFractales.12
18 reference(s)
91-MathematiquesPhysiqueFractales.02
18 reference(s)		 92-Informations_AboutPicturesAnimationsAndFiles.01.Fra
18 reference(s)
93-ImpossibleStructures.01.Fra
18 reference(s)		 94-ImagesDuVirtuel.01.Fra
18 reference(s)
95-Galerie_NewPictures
18 reference(s)		 96-Galerie_GeneralitiesVisualization
18 reference(s)
97-FaireDesMathematiques.01.Fra
18 reference(s)		 98-DieuScience.01.Ang
18 reference(s)
99-ArtEtMathematiques.01
18 reference(s)		 100-xiirs_____.nota.t.
17 reference(s)
101-VisitesGaleriesEnfouies.01.Ang
17 reference(s)		 102-VirtualChaos.01.Ang
17 reference(s)
103-PatrimoineHumanite.02.Fra
17 reference(s)		 104-NatureDesMathematiques.01.vv.Fra
17 reference(s)
105-NDimensionalDeterministicFractalSets.01.Ang
17 reference(s)		 106-MathematiquesPhysiqueFractales.02.3
17 reference(s)
107-MathematiquesPhysiqueFractales.02.12
17 reference(s)		 108-LeParadoxeDeFermi.01.Ang
17 reference(s)
109-IllusionConnaissance.02
17 reference(s)		 110-Exposition_EcolePolytechnique_FeteDeLaScience_201810
17 reference(s)
111-Exposition_EcolePolytechnique_FeteDeLaScience_201510
17 reference(s)		 112-ExpV_VirE.21
17 reference(s)
113-EnsembleDesGaleries.DIAPO.0023
17 reference(s)		 114-EnsembleDesGaleries.DIAPO.0022
17 reference(s)
115-DuModeleALImage.02.Fra
17 reference(s)		 116-DieuScience.01.Fra
17 reference(s)
117-Definitions_8_connexite.01
17 reference(s)		 118-CompressionDeCompression_ComplexiteStructurelle.Optimal_ZL.01
17 reference(s)
119-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
17 reference(s)		 120-Commentaires_NKleinBottle.01
17 reference(s)
121-BEST.20160128
17 reference(s)		 122-Ariane501.01.Fra
17 reference(s)
123-xtc_____INCLUDES.01.I.
16 reference(s)		 124-infinity.02.vv
16 reference(s)
125-VisualisationRelief.01.vv.Fra
16 reference(s)		 126-VisitesGaleriesEnfouies.01.Fra
16 reference(s)
127-VirtualChaos.01.Fra
16 reference(s)		 128-QuelquesQuestionsSurLaRecherche.01.Fra
16 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.