Monthly Best Of on 09/30/2019




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 09/30/2019 and last updated on 09/30/2019 11:30:44 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Victor Vasarely meets Piet Mondrian
1-179 reference(s)
Happy new year 2000
2-158 reference(s)
The random walk of photons escaping the Sun
3-127 reference(s)
Autostereogram of the CMAP
4-123 reference(s)
Erosion of a bidimensional random (with small and large scale correlations)medium
5-114 reference(s)
The random walk of photons escaping the Sun
6-95 reference(s)
Bidimensional Hilbert Curve -iteration 4-
7-86 reference(s)
Recursive subdivision of four Golden Rectangles -a tribute to Piet Mondrian-
8-82 reference(s)
The Bonan-Jeener's triple Klein bottle
9-77 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
10-72 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
11-70 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
12-65 reference(s)
No Title 0293 -a tribute to Pierre Soulages
13-63 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
14-63 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
15-62 reference(s)
A fractal vegetal structure
16-60 reference(s)
Autostereogram with an hidden volcano
17-60 reference(s)
The bidimensional John Conway's life game
18-56 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
19-56 reference(s)
From 'geocentrism' to 'heliocentrism'
20-47 reference(s)
The random walk of photons escaping the Sun
21-46 reference(s)
Hypercube
22-45 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
23-45 reference(s)
Pseudo Olympic Rings
24-42 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
25-41 reference(s)
Artistic view of the prime numbers
26-41 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
27-40 reference(s)
A blue sponge-tree -a tribute to Yves Klein-
28-40 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
29-40 reference(s)
The Jeener's triple Klein bottle
30-40 reference(s)
Bidimensional geometrical texture animation
31-39 reference(s)
Numerical value table -trigonometric functions-
32-38 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-
33-38 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
34-37 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
35-37 reference(s)
Bidimensional texture animation by means of the Generalized Product
36-37 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
37-37 reference(s)
From Mars to the Sun
38-37 reference(s)
The Möbius strip
39-37 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
40-37 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
41-37 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
42-36 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
43-36 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
44-36 reference(s)
Tridimensional texture animation by means of the Generalized Product
45-36 reference(s)
Tridimensional zoom in on the Mandelbrot set
46-36 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
47-36 reference(s)
The Sierpinski carpet -iteration 5-
48-35 reference(s)
The Menger sponge -iteration 5-
49-35 reference(s)
Quantum vacuum fluctuations
50-33 reference(s)
No Title 0265 -a tribute to Vassily Kandinsky-
51-33 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon with five hidden cubes
52-31 reference(s)
Color palette 'cyan.01'
53-30 reference(s)
Fractal Self-Portrait -a tribute to René Magritte-
54-29 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
55-28 reference(s)
Color palette 'jaune'
56-28 reference(s)
A spherical cross-section inside the Menger sponge -iteration 5-
57-28 reference(s)
Metropolis -a tribute to Fritz Lang-
58-28 reference(s)
The first four iterations of the construction of the von Koch snowflake
59-26 reference(s)
The Universe at the heart of a Calabi-Yau manifold
60-26 reference(s)
Tridimensional display of a pseudo-periodical Penrose tiling of the plane with a fractal noise
61-26 reference(s)
Autostereogram with an hidden volcano
62-24 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
63-23 reference(s)
Tridimensional visualizations of the Verhulst dynamics
64-23 reference(s)
Fractal Self-Portrait -'Décalcomanie', a tribute to René Magritte-
65-23 reference(s)
A tridimensional structure made of six Golden Decagons with pseudo-periodical Penrose tilings
66-22 reference(s)
An extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
67-22 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
68-22 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
69-21 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
70-21 reference(s)
The Boy surface
71-20 reference(s)
Maurits Cornelis Escher meets Piet Mondrian
72-20 reference(s)
No Title 0298
73-19 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
74-19 reference(s)
The generalized Ulam spiral
75-19 reference(s)
Color palette 'gris.92'
76-19 reference(s)
A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
77-19 reference(s)
My own quadruple impossible staircase -a tribute to Maurits Cornelis Escher-
78-19 reference(s)
The Jeener's quintuple Klein bottle
79-19 reference(s)
The Jeener's triple Klein bottle
80-19 reference(s)
The 64 first lines of the Pascal's Triangle
81-18 reference(s)
The Continuum Hypothesis (CH)-an allegory-
82-18 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
83-18 reference(s)
Tridimensional fractal cross -iteration 5-
84-18 reference(s)
An Archimedes spiral displaying 100000 numbers
85-17 reference(s)
The Lorenz attractor
86-17 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
87-17 reference(s)
Autostereogram with an hidden volcano
88-16 reference(s)
Autostereogram with an hidden volcano
89-16 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
90-16 reference(s)
Tridimensional Hilbert Curve -iteration 3-
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)
A pseudo-periodical Penrose tiling of the Golden Decagon
95-15 reference(s)
The Sierpinski carpet -iteration 3-
96-15 reference(s)
A pay slip
97-15 reference(s)
No Title 0271 -a tribute to Vassily Kandinsky-
98-15 reference(s)
Sixteen interlaced fractal torus
99-15 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
100-15 reference(s)
No Title 0294 -a tribute to Victor Vasarely
101-14 reference(s)
Fractal natural form
102-14 reference(s)
The Simpson paradox
103-14 reference(s)
No Title 0297
104-14 reference(s)
Fractal 7-foil torus knot
105-14 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
106-14 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
107-14 reference(s)
A pseudo-periodical Penrose tiling of the plane
108-13 reference(s)
Along the border of the Mandelbrot set
109-13 reference(s)
The Sierpinski carpet -iteration 1-
110-13 reference(s)
The Sierpinski carpet -iteration 5-
111-13 reference(s)
The double reflection -green- of a small regular tetrahedron -center red-
112-13 reference(s)
Fractal natural form
113-13 reference(s)
The Scream -a Tribute to Edvard Munch-
114-13 reference(s)
The generalized Ulam spiral displaying 100 numbers
115-13 reference(s)
Monument Valley à la David Hockney
116-13 reference(s)
The erosion of an amazing cross-section inside the Menger sponge -iteration 5-
117-13 reference(s)
Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
118-13 reference(s)
No Title 0266 -a tribute to Vassily Kandinsky-
119-13 reference(s)
Anaglyph -blue=right, red=left- of a fractal hypercube
120-13 reference(s)
Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
121-13 reference(s)
Quantum vacuum fluctuations
122-12 reference(s)
A pseudo-periodical Penrose tiling of the plane -a tribute to Piet Mondrian and Roger Penrose-
123-12 reference(s)
A pseudo-periodical Penrose tiling of the plane
124-12 reference(s)
Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
125-12 reference(s)
Bidimensional zoom in on the Mandelbrot set
126-12 reference(s)
7-foil torus knot on its torus
127-12 reference(s)
A fractal Möbius strip
128-12 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
743 reference(s)
2-Vcatalogue.11
652 reference(s)
3-ImagesDuVirtuel.01.Fra
357 reference(s)
4-help.
333 reference(s)
5-AVirtualSpaceTimeTravelMachine.Ang
319 reference(s)
6-An2000.01.Fra
293 reference(s)
7-Exposition_EcolePolytechnique_FeteDeLaScience_201910
276 reference(s)
8-ComplexiteStructurelleClassements.11
231 reference(s)
9-GenieLogiciel_VisualisationScientifique.01.vv
217 reference(s)
10-RealNumbers.01.Fra
202 reference(s)
11-GoldenTriangle.01.Fra
197 reference(s)
12-Galerie_DeterministicFractalGeometry.FV
190 reference(s)
13-SurfaceProjector.01.Fra
187 reference(s)
14-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
184 reference(s)
15-Stereogrammes_AutoStereogrammes.01
180 reference(s)
16-UlamSpiral.01.Fra
177 reference(s)
17-Fractal.01
177 reference(s)
18-MathematiquesPhysiqueFractales.02
176 reference(s)
19-FloatingPointNumbers.01.Fra
175 reference(s)
20-Galerie_ArtisticCreation.FV
172 reference(s)
21-MorePages.
171 reference(s)
22-Fractal.11
169 reference(s)
23-Galerie_NumberTheory.FV
161 reference(s)
24-AVirtualSpaceTimeTravelMachine.Fra
160 reference(s)
25-Galerie_NewPictures.FV
157 reference(s)
26-copyright.01.
155 reference(s)
27-realnumbers
154 reference(s)
28-FaireDeLaRecherche.01.vv
154 reference(s)
29-DieuScience.01.Fra
154 reference(s)
30-mail.01.vv
153 reference(s)
31-logiciel
153 reference(s)
32-demo14
153 reference(s)
33-LOG_xiMc.11
153 reference(s)
34-GoldenTriangle.01.Ang
153 reference(s)
35-Galerie_GeneralitiesVisualization.FV
153 reference(s)
36-nombresreels
152 reference(s)
37-genielogiciel
152 reference(s)
38-demo.14
152 reference(s)
39-demo
152 reference(s)
40-an2000
150 reference(s)
41-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
149 reference(s)
42-AProposSite.01.Fra
149 reference(s)
43-SurfaceProjector.01.Ang
148 reference(s)
44-Galerie_ArtAndScience.FV
147 reference(s)
45-Commentaires_NKleinBottle.01
146 reference(s)
46-OrdinateursEtCalculs.01.Ang
143 reference(s)
47-NDimensionalDeterministicFractalSets.01.Ang
143 reference(s)
48-GenieLogiciel.01.Fra
143 reference(s)
49-UlamSpiral.01.Ang
141 reference(s)
50-present.01.
140 reference(s)
51-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
139 reference(s)
52-catalogue.11
138 reference(s)
53-MathematiquesPhysiqueFractales.12
138 reference(s)
54-ExpV_VirE.21
138 reference(s)
55-ExpV_VirE.11
138 reference(s)
56-AnimFractal.01.
138 reference(s)
57-NDimensionalDeterministicFractalSets.01.Fra
135 reference(s)
58-AQuoiServentLesMathematiques.01
135 reference(s)
59-NatureDesMathematiques.01.vv.Fra
134 reference(s)
60-Kepler.02.
133 reference(s)
61-Galerie_ParticleSystems.FV
133 reference(s)
62-Galerie_ImagesDesMathematiques.FV
133 reference(s)
63-FloatingPointNumbers.01.Ang
133 reference(s)
64-DuModeleALImage.02.Fra
133 reference(s)
65-MonodimensionalCellularAutomata.01.Fra
131 reference(s)
66-MathematiquesPhysiqueFractales.22
131 reference(s)
67-Fractal.21
131 reference(s)
68-EntrelacsIntertwinings.01.Fra
130 reference(s)
69-Informations_AboutPicturesAnimationsAndFiles.01.Ang
129 reference(s)
70-IllusionConnaissance.02
129 reference(s)
71-Galerie_BestOf.FV
129 reference(s)
72-Galerie_Astrophysics.FV
129 reference(s)
73-Galerie_CelestialMechanics.FV
128 reference(s)
74-Fractal.03
128 reference(s)
75-Informations_GoodNewsAndBadNews.01.Fra
127 reference(s)
76-ImpossibleStructures.01.Ang
127 reference(s)
77-Galerie_DeterministicChaos.FV
127 reference(s)
78-NombresEtLumiere.01.vv.Fra
126 reference(s)
79-Galerie_TextureSynthesis.FV
126 reference(s)
80-Galerie_SensitivityToRoundingOffErrors.FV
126 reference(s)
81-EntrelacsIntertwinings.01.Ang
126 reference(s)
82-OrdinateursEtCalculs.01.Fra
125 reference(s)
83-Autostereograms.01.
125 reference(s)
84-EnsembleDesGaleries.DIAPO.0001
123 reference(s)
85-DecimalesPi_100000.vv
123 reference(s)
86-Galerie_SignalProcessing.FV
122 reference(s)
87-Galerie_QuantumMechanics.FV
122 reference(s)
88-subject.01.
120 reference(s)
89-ImpossibleStructures.01.Fra
120 reference(s)
90-IllusionConnaissance.01
119 reference(s)
91-Galerie_Tributes.FV
119 reference(s)
92-Exposition_EcolePolytechnique_FeteDeLaScience_201810
119 reference(s)
93-ExpV_VirE.Ang
119 reference(s)
94-LesApprentisDieux.01
118 reference(s)
95-VirtualChaos.01.Fra
116 reference(s)
96-OrdinateurMathematiquesArt.01.Fra
116 reference(s)
97-PerteDeLAssociativite.01
115 reference(s)
98-ImagesDuVirtuel.01.Fra.FV
115 reference(s)
99-Commentaires_DefinitionPseudoQuaternions.01
115 reference(s)
100-infinity.01.vv
114 reference(s)
101-HommageBenoitMandelbrot.21
114 reference(s)
102-RasoirDOccamEtMathematiques.01.vv.Fra
113 reference(s)
103-MathematiquesModeleOutilArtiste.02.Ang
113 reference(s)
104-Fractal.02
113 reference(s)
105-RemarquesCerveau.01
112 reference(s)
106-NombresPremiers_10000.vv
112 reference(s)
107-MathematiquesPhysiqueFractales.01
112 reference(s)
108-Galerie_FluidMechanics.FV
112 reference(s)
109-FaireDesMathematiques.01.Fra
112 reference(s)
110-ArtScience.01
112 reference(s)
111-EnsembleDesGaleriesFractales.DIAPO.0001
111 reference(s)
112-PatrimoineHumanite.02.Fra
110 reference(s)
113-MonodimensionalCellularAutomata.01.Ang
110 reference(s)
114-Commentaires_DefinitionQuaternions.01
110 reference(s)
115-infinity.02.vv
109 reference(s)
116-VirtualChaos.01.Ang
109 reference(s)
117-MathematiquesPhysiqueFractales.02.1
109 reference(s)
118-Galerie_ImagesDidactiques.FV
109 reference(s)
119-ArtEtMathematiques.01
109 reference(s)
120-MathematiquesLangageDuGrandLivreDeLaNature.12
108 reference(s)
121-ManyChaos.01.Ang
108 reference(s)
122-Exposition_EcolePolytechnique_FeteDeLaScience_201510
108 reference(s)
123-ExpV_VirE.Fra
108 reference(s)
124-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
108 reference(s)
125-xrq_____hydrogene.61.K.
107 reference(s)
126-create.03.
107 reference(s)
127-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
107 reference(s)
128-An2000.04.Fra
107 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.