Monthly Best Of on 01/28/2023




A pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,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 01/28/2023 and last updated on 11/14/2023 17:50:33 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Jean-François COLONNA (on 11/17/1994)with its fractal mountains
1-129 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon -a Tribute to Piet Mondrian and Roger Penrose-
2-128 reference(s)		 A tridimensional intertwining made of a tridimensional cubic mesh inside a sphere
3-114 reference(s)		 Artistic view of the prime numbers
4-114 reference(s)
A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
5-108 reference(s)		 A tridimensional intertwining made of an amazing cross-section inside the Menger sponge -iteration 5- inside a sphere
6-107 reference(s)		 A tridimensional intertwining made of an amazing cross-section inside the Menger sponge -iteration 5- inside a sphere
7-107 reference(s)		 A tridimensional intertwining made of an extended Menger sponge -iteration 5- inside a sphere
8-106 reference(s)
A tridimensional intertwining made of an extended Menger sponge -iteration 5- inside a sphere
9-104 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
10-104 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
11-102 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
12-101 reference(s)
A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
13-101 reference(s)		 A tridimensional intertwining made of an amazing cross-section inside the Menger sponge -iteration 5- inside a sphere
14-101 reference(s)		 A sphere -positive curvature-
15-101 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
16-100 reference(s)
A tridimensional intertwining made of an extended Menger sponge -iteration 5- inside a sphere
17-100 reference(s)		 A tridimensional intertwining made of an extended Menger sponge -iteration 5- inside a sphere
18-99 reference(s)		 The random walk of photons escaping the Sun
19-99 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
20-98 reference(s)
A tridimensional intertwining made of the Menger sponge -iteration 5- inside a torus
21-98 reference(s)		 A tridimensional intertwining made of an amazing cross-section inside the Menger sponge -iteration 5- inside a sphere
22-98 reference(s)		 Fractal Self-Portrait -a Tribute to René Magritte-
23-98 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
24-97 reference(s)
Happy new year 2000
25-97 reference(s)		 A tridimensional intertwining made of a tridimensional cross-section inside a pseudo-octonionic Julia set inside a sphere
26-96 reference(s)		 A tridimensional intertwining inside a Jeener intertwining
27-95 reference(s)		 A tridimensional intertwining inside a sphere
28-95 reference(s)
An aperiodic Penrose tiling of the Golden Decagon with five hidden cubes
29-94 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
30-94 reference(s)		 A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
31-94 reference(s)		 A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
32-94 reference(s)
A tridimensional intertwining inside a Jeener intertwining
33-94 reference(s)		 A tridimensional intertwining inside a 'tridimensional epicycloïdal' pseudo-torus
34-94 reference(s)		 A 'recursive' -one iteration-' tridimensional intertwining inside a sphere
35-94 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
36-93 reference(s)
A tridimensional intertwining made of the Menger sponge -iteration 5- the Bonan-Jeener-Klein triple bottle
37-93 reference(s)		 A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
38-93 reference(s)		 A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
39-93 reference(s)		 A tridimensional intertwining inside the Bonan-Jeener-Klein triple bottle
40-93 reference(s)
A tridimensional intertwining inside the Bonan-Jeener-Klein triple bottle
41-93 reference(s)		 A tridimensional intertwining inside a torus
42-93 reference(s)		 A tridimensional intertwining inside a torus
43-93 reference(s)		 A tridimensional intertwining inside a torus
44-93 reference(s)
A tridimensional intertwining inside a sphere
45-93 reference(s)		 A tridimensional intertwining inside a sphere
46-93 reference(s)		 A tridimensional intertwining inside a sphere
47-93 reference(s)		 The Lorenz attractor
48-93 reference(s)
A tridimensional intertwining made of the Menger sponge -iteration 5- inside a torus
49-92 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
50-92 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
51-92 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
52-92 reference(s)
A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
53-92 reference(s)		 A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
54-92 reference(s)		 A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
55-92 reference(s)		 A tridimensional intertwining made of a tridimensional cross-section inside a pseudo-octonionic Julia set inside a sphere
56-92 reference(s)
A tridimensional intertwining made of a tridimensional cubic mesh inside a sphere
57-92 reference(s)		 A tridimensional intertwining made of a tridimensional cubic mesh inside a sphere
58-92 reference(s)		 A tridimensional intertwining inside the Jeener triton
59-92 reference(s)		 A tridimensional intertwining inside the Jeener triton
60-92 reference(s)
A tridimensional intertwining inside a 'tridimensional epicycloïdal' pseudo-torus
61-92 reference(s)		 A tridimensional intertwining based on the Bonan-Jeener-Klein triple bottle inside a sphere
62-92 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- inside a torus
63-91 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
64-91 reference(s)
A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
65-91 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
66-91 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- the Bonan-Jeener-Klein triple bottle
67-91 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- the Bonan-Jeener-Klein triple bottle
68-91 reference(s)
A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
69-91 reference(s)		 A tridimensional intertwining made of a tridimensional cubic mesh inside a sphere
70-91 reference(s)		 A tridimensional intertwining inside a 'tridimensional epicycloïdal' pseudo-torus
71-91 reference(s)		 A tridimensional intertwining inside the Bonan-Jeener-Klein triple bottle
72-91 reference(s)
A tridimensional intertwining made of the Menger sponge -iteration 5- inside a torus
73-90 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
74-90 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
75-90 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
76-90 reference(s)
A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
77-90 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- the Bonan-Jeener-Klein triple bottle
78-90 reference(s)		 A tridimensional intertwining inside the Jeener triton
79-90 reference(s)		 A tridimensional intertwining inside the Jeener triton
80-90 reference(s)
A tridimensional intertwining inside a Jeener intertwining
81-90 reference(s)		 A tridimensional intertwining inside a 'tridimensional epicycloïdal' pseudo-torus
82-90 reference(s)		 A tridimensional intertwining inside the Bonan-Jeener-Klein triple bottle
83-90 reference(s)		 The generalized Ulam spiral
84-90 reference(s)
A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
85-89 reference(s)		 A tridimensional intertwining inside a Jeener intertwining
86-89 reference(s)		 A tridimensional intertwining inside a torus
87-89 reference(s)		 A tridimensional intertwining based on a sphere inside a sphere
88-89 reference(s)
A 'recursive' -two iterations-' tridimensional intertwining inside a sphere
89-89 reference(s)		 A tridimensional intertwining made of the Menger sponge -iteration 5- inside a sphere
90-88 reference(s)		 Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
91-84 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
92-83 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
93-83 reference(s)		 A Jeener-Möbius Tridimensional manifold described by means of a Tridimensional Hilbert Curve -iteration 4-
94-80 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
95-77 reference(s)		 Autostereogram with an hidden ring and ghost bows
96-74 reference(s)
A tridimensionally distorded aperiodic Penrose tiling of the Golden Decagon
97-73 reference(s)		 A tribute to Sandro Botticelli and Victor Vasarely-
98-72 reference(s)		 Color palette 'jaune'
99-72 reference(s)		 An amazing cross-section inside the Menger sponge -iteration 5-
100-71 reference(s)
Autostereogram with an hidden volcano
101-70 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
102-69 reference(s)		 Self-Portrait by means of a Bidimensional Hilbert Curve -iteration 6-
103-69 reference(s)		 Empty
104-67 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
105-66 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
106-65 reference(s)		 A parallelepipedic Torus described by means of a Tridimensional Hilbert Curve -iteration 4-
107-65 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
108-65 reference(s)
The Universe at the heart of a Calabi-Yau manifold
109-64 reference(s)		 The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 6-
110-64 reference(s)		 A sphere described by means of a Bidimensional Hilbert Curve -iteration 7-
111-64 reference(s)		 Self-Portrait by means of a Bidimensional Hilbert Curve -iteration 6-
112-64 reference(s)
The Klein bottle described by means of a Bidimensional Hilbert Curve -iteration 7-
113-63 reference(s)		 The Bonan-Jeener double bottle described by means of a Bidimensional Hilbert Curve -iteration 7-
114-63 reference(s)		 The Syracuse conjecture for U(0)={5,6,7,8,...,20} -polar coordinates display-
115-61 reference(s)		 The Syracuse conjecture for U(0)={1,2,3,4,...,262144}
116-61 reference(s)
The Syracuse conjecture for U(0)={1,2,3,4,...,128} -monodimensional display of the parities-
117-60 reference(s)		 Artistic view of the Big Bang
118-59 reference(s)		 The Syracuse conjecture for U(0)={5,6,7,8,...,68} -'pseudo-ramdom walk' display: 'The Syracuse Pulsar'-
119-59 reference(s)		 The Syracuse conjecture for U(0)={2,4,6,8,...,256} -monodimensional display-
120-59 reference(s)
The Syracuse conjecture for U(0)={5,6,7,8,...,260} -'pseudo-ramdom walk' display: 'The Syracuse Supernova'-
121-58 reference(s)		 The Syracuse conjecture for U(0)={5,10,15,20,...,1310720}
122-58 reference(s)		 The Sierpinski carpet -iteration 3- with colors -a Tribute to Karl Menger and Piet Mondrian-
123-58 reference(s)		 The Klein bottle defined by means of three bidimensional fields
124-58 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
125-58 reference(s)		 The Menger sponge -iteration 5-
126-58 reference(s)		 A torus described by means of a Bidimensional Hilbert Curve -iteration 7-
127-58 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
128-58 reference(s)




2-The 128 most referenced Pages (*):

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



1-help.
2484 reference(s)		 2-mail.01.vv
2385 reference(s)
3-Vcatalogue.11
2076 reference(s)		 4-An2000.01.Fra
2075 reference(s)
5-copyright.01.
2043 reference(s)		 6-demo_14
157 reference(s)
7-AVirtualSpaceTimeTravelMachine.Ang
153 reference(s)		 8-Stereogrammes_AutoStereogrammes.01
106 reference(s)
9-Fractal.01
97 reference(s)		 10-Informations_AboutPicturesAnimationsAndFiles.01.Ang
92 reference(s)
11-Web_Mail.01.vv
90 reference(s)		 12-GoldenTriangle.01.Fra
88 reference(s)
13-LesCourbesRemplissantes.01.Fra
84 reference(s)		 14-UlamSpiral.01.Fra
71 reference(s)
15-Fractal.11
70 reference(s)		 16-Galerie_ArtisticCreation.FV
66 reference(s)
17-FloatingPointNumbers.01.Fra
66 reference(s)		 18-AVirtualSpaceTimeTravelMachine.Fra
65 reference(s)
19-Galerie_SelfPortraits.FV
64 reference(s)		 20-Fractal.21
62 reference(s)
21-LOG_xiMc.11
59 reference(s)		 22-GenieLogiciel_VisualisationScientifique.01.vv
58 reference(s)
23-Galerie_GeneralitiesVisualization.FV
58 reference(s)		 24-AProposSite.01.Fra
56 reference(s)
25-SurfaceProjector.01.Fra
55 reference(s)		 26-xiirv_____.nota.t.
54 reference(s)
27-MonodimensionalCellularAutomata.01.Fra
54 reference(s)		 28-Galerie_NumberTheory.FV
54 reference(s)
29-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
54 reference(s)		 30-EntrelacsIntertwinings.01.Ang
54 reference(s)
31-DecimalesPi_1_100.vv
52 reference(s)		 32-present.01.
51 reference(s)
33-OrdinateursEtCalculs.01.Ang
51 reference(s)		 34-Exposition_EcolePolytechnique_FeteDeLaScience_201910
51 reference(s)
35-UlamSpiral.01.Ang
50 reference(s)		 36-GoldenTriangle.01.Ang
50 reference(s)
37-Galerie_DeterministicFractalGeometry.FV
50 reference(s)		 38-Galerie_ArtAndScience.FV
50 reference(s)
39-Galerie_ParticleSystems.FV
49 reference(s)		 40-Galerie_NewPictures.FV
48 reference(s)
41-Galerie_ImagesDesMathematiques.FV
48 reference(s)		 42-EntrelacsIntertwinings.01.Fra
47 reference(s)
43-infinity.01.vv
46 reference(s)		 44-SurfaceProjector.01.Ang
46 reference(s)
45-FloatingPointNumbers.01.Ang
46 reference(s)		 46-ExpV_VirE.11
45 reference(s)
47-Autostereograms.01.
45 reference(s)		 48-NatureDesMathematiques.01.vv.Fra
44 reference(s)
49-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
44 reference(s)		 50-Informations_GoodNewsAndBadNews.01.Fra
44 reference(s)
51-Galerie_CelestialMechanics.FV
44 reference(s)		 52-FaireDesMathematiques.01.Fra
44 reference(s)
53-Fractal.03
43 reference(s)		 54-LeParadoxeDeFermi.01.Fra
42 reference(s)
55-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
42 reference(s)		 56-LesCourbesRemplissantes.01.Ang
41 reference(s)
57-Galerie_ImagesDidactiques.FV
41 reference(s)		 58-Galerie_BestOf.FV
41 reference(s)
59-Commentaires_JeenerMobiusManifold.03
41 reference(s)		 60-subject.01.
40 reference(s)
61-MathematiquesPhysiqueFractales.22
40 reference(s)		 62-Informations_GoodNewsAndBadNews.01.Ang
40 reference(s)
63-Galerie_TextureSynthesis.FV
40 reference(s)		 64-Galerie_SignalProcessing.FV
40 reference(s)
65-Galerie_QuantumMechanics.FV
40 reference(s)		 66-DieuScience.01.Fra
40 reference(s)
67-AnimFractal.01.
40 reference(s)		 68-VirtualChaos.01.Fra
39 reference(s)
69-NDimensionalDeterministicFractalSets.01.Fra
39 reference(s)		 70-Multivers.01.Fra
39 reference(s)
71-MonodimensionalCellularAutomata.01.Ang
39 reference(s)		 72-GenieLogiciel.01.Fra
39 reference(s)
73-VAcatalogue.11
38 reference(s)		 74-RealNumbers.01.Fra
38 reference(s)
75-NDimensionalDeterministicFractalSets.01.Ang
38 reference(s)		 76-MathematiquesPhysiqueFractales.12
38 reference(s)
77-Kepler.02.
38 reference(s)		 78-FaireDeLaRecherche.01.vv
38 reference(s)
79-VirtualChaos.01.Ang
37 reference(s)		 80-ManyChaos.01.Ang
37 reference(s)
81-LeNoeudInfini.01.Fra
37 reference(s)		 82-ImpossibleStructures.01.Ang
37 reference(s)
83-ImagesEncadreesDisponibles.01
37 reference(s)		 84-NombresEtLumiere.01.vv.Fra
36 reference(s)
85-MathematiquesPhysiqueFractales.02
36 reference(s)		 86-Galerie_DeterministicChaos.FV
36 reference(s)
87-DieuScience.01.Ang
36 reference(s)		 88-DecimalesDePi.01.Fra
36 reference(s)
89-ConjectureDeSyracuse_0128.Parity.vv
36 reference(s)		 90-relai_universel.01.vv
35 reference(s)
91-infinity.02.vv
35 reference(s)		 92-create.03.
35 reference(s)
93-RemarquesCerveau.01
35 reference(s)		 94-PerteDeLAssociativite.01
35 reference(s)
95-Pcatalogue.11
35 reference(s)		 96-IllusionConnaissance.02
35 reference(s)
97-Galerie_Tributes.FV
35 reference(s)		 98-Galerie_SensitivityToRoundingOffErrors.FV
35 reference(s)
99-Galerie_Astrophysics.FV
35 reference(s)		 100-ConjectureDeSyracuse_0256.vv
35 reference(s)
101-Commentaires_HyperTore.01
35 reference(s)		 102-catalogue.11
34 reference(s)
103-PatrimoineHumanite.02.Fra
34 reference(s)		 104-MorePages.Ang.
34 reference(s)
105-Exposition_EcolePolytechnique_AnneeMondialeDeLaPhysique_2005
34 reference(s)		 106-DecimalesPi_100000.vv
34 reference(s)
107-VisualisationRelief.01.vv.Fra
33 reference(s)		 108-VisitesGaleriesEnfouies.01.Fra
33 reference(s)
109-SourceExemple_____xrq_____hydrogene.61.K.
33 reference(s)		 110-RasoirDOccamEtMathematiques.01.vv.Fra
33 reference(s)
111-OrdinateursEtCalculs.01.Fra
33 reference(s)		 112-OrdinateurMathematiquesArt.01.Fra
33 reference(s)
113-MiseEnSceneDesNombres.01.vv.Ang
33 reference(s)		 114-Galerie_NumbersAndLight.FV
33 reference(s)
115-Galerie_FluidMechanics.FV
33 reference(s)		 116-Exposition_EcolePolytechnique_FeteDeLaScience_201510
33 reference(s)
117-EnsembleDesGaleries.DIAPO.0001
33 reference(s)		 118-DuModeleALImage.02.Fra
33 reference(s)
119-xdarchivesg__smc__sources__smc_____si_ko
32 reference(s)		 120-Polynomials_RationalNumbers.01.Fra
32 reference(s)
121-ManyChaos.01.Fra
32 reference(s)		 122-ImpossibleStructures.01.Fra
32 reference(s)
123-ImagesDuVirtuel.01.Fra.FV
32 reference(s)		 124-Galerie_GeneralitiesVisualization.DIAPO.0001
32 reference(s)
125-VisitesGaleriesEnfouies.01.Ang
31 reference(s)		 126-NombresEtLumiere.02.vv.Ang
31 reference(s)
127-LeParadoxeDeFermi.01.Ang
31 reference(s)		 128-LeNoeudInfini.01.Ang
31 reference(s)

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