Monthly Best Of on 08/28/2019




A pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0) -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 08/28/2019 and last updated on 08/29/2019 17:39:23 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The random walk of photons escaping the Sun
1-165 reference(s)
Erosion of a bidimensional random (with small and large scale correlations)medium
2-136 reference(s)
Victor Vasarely meets Piet Mondrian
3-97 reference(s)
The Bonan-Jeener's triple Klein bottle
4-93 reference(s)
Recursive subdivision of four Golden Rectangles -a tribute to Piet Mondrian-
5-88 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
6-87 reference(s)
Gravitation and space-time curvature
7-80 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
8-80 reference(s)
Autostereogram of the CMAP
9-75 reference(s)
The random walk of photons escaping the Sun
10-66 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
11-66 reference(s)
Artistic view of the prime numbers
12-64 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
13-58 reference(s)
Happy new year 2000
14-57 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
15-57 reference(s)
A fractal vegetal structure
16-53 reference(s)
The bidimensional John Conway's life game
17-51 reference(s)
The random walk of photons escaping the Sun
18-50 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
19-47 reference(s)
Hypercube
20-47 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
21-46 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
22-45 reference(s)
The journey of an Earth-like virtuel planet (green)from Pluto (grey) to the Sun (yellow) -point of view of the virtual planet-
23-44 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
24-43 reference(s)
The Menger sponge -iteration 5-
25-42 reference(s)
Bidimensional geometrical texture animation
26-41 reference(s)
Bidimensional quasi-symmetrical fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
27-40 reference(s)
Tridimensional display of the particle density of a bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
28-40 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
29-40 reference(s)
Tridimensional texture animation by means of the Generalized Product
30-40 reference(s)
The Möbius strip
31-40 reference(s)
Tridimensional zoom in on the Mandelbrot set
32-40 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
33-40 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
34-39 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
35-39 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
36-39 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
37-39 reference(s)
The Jeener's triple Klein bottle
38-39 reference(s)
Bidimensional texture animation by means of the Generalized Product
39-38 reference(s)
From Mars to the Sun
40-38 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
41-37 reference(s)
Autostereogram with an hidden volcano
42-35 reference(s)
Autostereogram with an hidden volcano
43-33 reference(s)
Tridimensional display of a pseudo-periodical Penrose tiling of the plane with a fractal noise
44-32 reference(s)
No Title 0293 -a tribute to Pierre Soulages
45-32 reference(s)
An extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
46-31 reference(s)
Sixteen interlaced fractal torus
47-31 reference(s)
Metropolis -a tribute to Fritz Lang-
48-30 reference(s)
A blue sponge-tree -a tribute to Yves Klein-
49-30 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
50-28 reference(s)
Quantum vacuum fluctuations
51-27 reference(s)
Color palette 'jaune'
52-27 reference(s)
No Title 0294 -a tribute to Victor Vasarely
53-26 reference(s)
Pseudo Olympic Rings
54-26 reference(s)
From 'geocentrism' to 'heliocentrism'
55-26 reference(s)
A spherical cross-section inside the Menger sponge -iteration 5-
56-24 reference(s)
A tribute to Sandro Botticelli
57-24 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
58-24 reference(s)
Black dots on a square lattice
59-23 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
60-23 reference(s)
The Jeener's triple Klein bottle
61-23 reference(s)
The Universe at the heart of a Calabi-Yau manifold
62-22 reference(s)
The Boy surface
63-22 reference(s)
Tridimensional Hilbert Curve -iteration 3-
64-22 reference(s)
The generalized Ulam spiral
65-21 reference(s)
The Continuum Hypothesis (CH)-an allegory-
66-21 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
67-21 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
68-20 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
69-20 reference(s)
A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
70-20 reference(s)
A shell (Jeener surface 1)in motion
71-20 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
72-19 reference(s)
A fractal Klein bottle
73-19 reference(s)
The Jeener's quintuple Klein bottle
74-19 reference(s)
The Klein bottle
75-19 reference(s)
The 64 first lines of the Pascal's Triangle
76-18 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
77-18 reference(s)
The Sierpinski carpet -iteration 5-
78-18 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
79-18 reference(s)
Bidimensional Hilbert Curve -iteration 4-
80-18 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
81-18 reference(s)
Autostereogram with an hidden volcano
82-17 reference(s)
Color palette 'gris.92'
83-17 reference(s)
No Title 0271 -a tribute to Vassily Kandinsky-
84-17 reference(s)
The Sierpinski carpet -iteration 1-
85-16 reference(s)
The Klein bottle defined by means of three bidimensional fields
86-16 reference(s)
The Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
87-16 reference(s)
No Title 0266 -a tribute to Vassily Kandinsky-
88-16 reference(s)
No Title 0265 -a tribute to Vassily Kandinsky-
89-16 reference(s)
Fractal Self-Portrait -a tribute to René Magritte-
90-16 reference(s)
The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
91-16 reference(s)
Quadruple impossible staircase built by means of a paradoxal structure -a tribute to Maurits Cornelis Escher-
92-16 reference(s)
From the infinitely small to the infinitely big
93-16 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
94-16 reference(s)
The Sierpinski carpet -iteration 3-
95-15 reference(s)
The Simpson paradox
96-15 reference(s)
The Lorenz attractor
97-15 reference(s)
Impossible structure
98-15 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
99-15 reference(s)
A fractal Möbius strip
100-15 reference(s)
Cantor's diagonal argument
101-15 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
102-15 reference(s)
Along the border of the Mandelbrot set
103-14 reference(s)
The Lorenz attractor
104-14 reference(s)
A tribute to Sandro Botticelli
105-14 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
106-14 reference(s)
Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 637.312 galaxies)obtained by means of a non deterministic fractal process
107-14 reference(s)
The 64 first lines of the Pascal's Triangle
108-13 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
109-13 reference(s)
Autostereogram with an hidden volcano
110-13 reference(s)
The Borromean Rings
111-13 reference(s)
The generalized Ulam spiral
112-13 reference(s)
Monument Valley at sunrise
113-13 reference(s)
Tridimensional visualizations of the Verhulst dynamics
114-13 reference(s)
A fractal pseudo-periodical Penrose tiling
115-13 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
116-12 reference(s)
Numerical value table -trigonometric functions-
117-12 reference(s)
An Archimedes spiral displaying 100000 numbers
118-12 reference(s)
An Archimedes spiral displaying 10000 numbers
119-12 reference(s)
Paradoxal Monument Valley at sunset
120-12 reference(s)
From Pluto to the Sun (non linear scales)
121-12 reference(s)
An extended Menger sponge -iteration 5-
122-12 reference(s)
The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
123-12 reference(s)
Happy new year 2000
124-12 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
125-12 reference(s)
Anaglyph -blue=right, red=left- of a fractal hypercube
126-12 reference(s)
Tridimensional fractal Self-Portrait
127-12 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
128-12 reference(s)




2-The 128 most referenced Pages (*):

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



1-An2000.01.Fra
1030 reference(s)
2-demo_14
1028 reference(s)
3-Vcatalogue.11
998 reference(s)
4-help.
433 reference(s)
5-ComplexiteStructurelleClassements.11
349 reference(s)
6-AVirtualSpaceTimeTravelMachine.Ang
335 reference(s)
7-Informations_GoodNewsAndBadNews.01.Fra
263 reference(s)
8-Galerie_DeterministicFractalGeometry.FV
245 reference(s)
9-Informations_GoodNewsAndBadNews.01.Ang
240 reference(s)
10-GenieLogiciel_VisualisationScientifique.01.vv
235 reference(s)
11-Exposition_EcolePolytechnique_FeteDeLaScience_201910
231 reference(s)
12-Galerie_NumberTheory.FV
216 reference(s)
13-ImagesDuVirtuel.01.Fra
215 reference(s)
14-AVirtualSpaceTimeTravelMachine.Fra
210 reference(s)
15-ImagesDuVirtuel.01.Fra.FV
206 reference(s)
16-Galerie_ArtisticCreation.FV
199 reference(s)
17-RealNumbers.01.Fra
197 reference(s)
18-Fractal.11
197 reference(s)
19-Fractal.01
196 reference(s)
20-FloatingPointNumbers.01.Fra
195 reference(s)
21-MorePages.
188 reference(s)
22-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
188 reference(s)
23-LOG_xiMc.11
183 reference(s)
24-SurfaceProjector.01.Fra
182 reference(s)
25-GoldenTriangle.01.Fra
182 reference(s)
26-MathematiquesPhysiqueFractales.02
178 reference(s)
27-mail.01.vv
176 reference(s)
28-Commentaires_NKleinBottle.01
169 reference(s)
29-copyright.01.
166 reference(s)
30-SurfaceProjector.01.Ang
164 reference(s)
31-NDimensionalDeterministicFractalSets.01.Fra
164 reference(s)
32-AProposSite.01.Fra
164 reference(s)
33-present.01.
163 reference(s)
34-demo
163 reference(s)
35-GenieLogiciel.01.Fra
163 reference(s)
36-nombresreels
162 reference(s)
37-an2000
162 reference(s)
38-ExpV_VirE.11
162 reference(s)
39-DieuScience.01.Fra
162 reference(s)
40-realnumbers
161 reference(s)
41-demo14
161 reference(s)
42-demo.14
161 reference(s)
43-create.03.
161 reference(s)
44-catalogue.11
161 reference(s)
45-Stereogrammes_AutoStereogrammes.01
161 reference(s)
46-Galerie_NewPictures.FV
161 reference(s)
47-Galerie_GeneralitiesVisualization.FV
161 reference(s)
48-FaireDeLaRecherche.01.vv
161 reference(s)
49-genielogiciel
159 reference(s)
50-logiciel
158 reference(s)
51-UlamSpiral.01.Fra
158 reference(s)
52-Galerie_ImagesDesMathematiques.FV
156 reference(s)
53-DuModeleALImage.02.Fra
156 reference(s)
54-NDimensionalDeterministicFractalSets.01.Ang
155 reference(s)
55-Galerie_ArtAndScience.FV
155 reference(s)
56-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
153 reference(s)
57-Fractal.21
153 reference(s)
58-ExpV_VirE.21
153 reference(s)
59-AnimFractal.01.
151 reference(s)
60-EntrelacsIntertwinings.01.Ang
148 reference(s)
61-AQuoiServentLesMathematiques.01
148 reference(s)
62-EntrelacsIntertwinings.01.Fra
142 reference(s)
63-OrdinateurMathematiquesArt.01.Fra
141 reference(s)
64-subject.01.
139 reference(s)
65-Kepler.02.
139 reference(s)
66-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
139 reference(s)
67-MathematiquesPhysiqueFractales.22
138 reference(s)
68-Galerie_DeterministicChaos.FV
138 reference(s)
69-MonodimensionalCellularAutomata.01.Fra
137 reference(s)
70-MathematiquesPhysiqueFractales.01
137 reference(s)
71-Galerie_BestOf.FV
137 reference(s)
72-MathematiquesPhysiqueFractales.12
136 reference(s)
73-Fractal.03
135 reference(s)
74-Autostereograms.01.
135 reference(s)
75-NatureDesMathematiques.01.vv.Fra
133 reference(s)
76-MathematiquesModeleOutilArtiste.02.Ang
133 reference(s)
77-IllusionConnaissance.02
133 reference(s)
78-GoldenTriangle.01.Ang
132 reference(s)
79-Galerie_TextureSynthesis.FV
132 reference(s)
80-Galerie_Astrophysics.FV
132 reference(s)
81-FaireDesMathematiques.01.Fra
131 reference(s)
82-FloatingPointNumbers.01.Ang
130 reference(s)
83-VisSci_SciVis.02
128 reference(s)
84-Galerie_CelestialMechanics.FV
128 reference(s)
85-An2000.02.Fra
128 reference(s)
86-morepages.
127 reference(s)
87-Informations_AboutPicturesAnimationsAndFiles.01.Ang
127 reference(s)
88-OrdinateursEtCalculs.01.Fra
126 reference(s)
89-Galerie_SensitivityToRoundingOffErrors.FV
126 reference(s)
90-Galerie_ParticleSystems.FV
126 reference(s)
91-DecimalesPi_100000.vv
125 reference(s)
92-Commentaires_DefinitionPseudoQuaternions.01
125 reference(s)
93-ManyChaos.01.Fra
124 reference(s)
94-IllusionConnaissance.01
124 reference(s)
95-xrq_____hydrogene.61.K.
123 reference(s)
96-Galerie_SignalProcessing.FV
122 reference(s)
97-Galerie_QuantumMechanics.FV
122 reference(s)
98-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
122 reference(s)
99-Fractal.02
121 reference(s)
100-PerteDeLAssociativite.01
120 reference(s)
101-NombresEtLumiere.01.vv.Fra
120 reference(s)
102-goldentriangle.01.fra
119 reference(s)
103-NombresPremiers_10000.vv
119 reference(s)
104-Commentaires_ProblemeDesNCorps.01
119 reference(s)
105-Commentaires_DefinitionQuaternions.01
119 reference(s)
106-infinity.01.vv
118 reference(s)
107-UlamSpiral.01.Ang
118 reference(s)
108-LesApprentisDieux.01
118 reference(s)
109-Exposition_EcolePolytechnique_FeteDeLaScience_201510
118 reference(s)
110-infinity.02.vv
117 reference(s)
111-ImpossibleStructures.01.Ang
117 reference(s)
112-RemarquesCerveau.01
116 reference(s)
113-OrdinateursEtCalculs.01.Ang
116 reference(s)
114-MathematiquesPhysiqueFractales.02.1
116 reference(s)
115-Galerie_Tributes.FV
116 reference(s)
116-PerteDeLAssociativite.01.MUL3
115 reference(s)
117-PatrimoineHumanite.02.Fra
115 reference(s)
118-ImpossibleStructures.01.Fra
115 reference(s)
119-xDarchivesG__SMC__sources__utilitaires_____SI_ASSYS
114 reference(s)
120-Informations_AboutPicturesAnimationsAndFiles.01.Fra
114 reference(s)
121-Exposition_EcolePolytechnique_FeteDeLaScience_201810
114 reference(s)
122-ExpV_VirE.Ang
114 reference(s)
123-RasoirDOccamEtMathematiques.01.vv.Fra
113 reference(s)
124-MonodimensionalCellularAutomata.01.Ang
113 reference(s)
125-Spheres.01
112 reference(s)
126-ManyChaos.01.Ang
112 reference(s)
127-Galerie_ImagesDidactiques.FV
112 reference(s)
128-Galerie_FluidMechanics.FV
112 reference(s)

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




Copyright (c) Jean-François Colonna, 2019.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2019.