Monthly Best Of on 10/28/2019




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

Jean-François COLONNA
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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 10/28/2019 and last updated on 11/14/2023 17:49:49 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Victor Vasarely meets Piet Mondrian
1-244 reference(s)		 Autostereogram of the CMAP
2-194 reference(s)		 Happy new year 2000
3-155 reference(s)		 Two multiplexed autostereograms by means of a pi/2 rotation
4-138 reference(s)
The random walk of photons escaping the Sun
5-122 reference(s)		 The random walk of photons escaping the Sun
6-107 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
7-107 reference(s)		 Autostereogram with an hidden volcano
8-93 reference(s)
Autostereogram with an hidden ring and ghost bows
9-87 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
10-86 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
11-86 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
12-74 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
13-74 reference(s)		 From 'geocentrism' to 'heliocentrism'
14-71 reference(s)		 Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
15-69 reference(s)		 Untitled 0293 -a Tribute to Pierre Soulages
16-67 reference(s)
Gravitation and space-time curvature
17-67 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
18-66 reference(s)		 Pseudo Olympic Rings
19-65 reference(s)		 Bidimensional Hilbert Curve -iteration 4-
20-63 reference(s)
The Sierpinski carpet -iteration 5-
21-62 reference(s)		 A blue sponge-tree -a Tribute to Yves Klein-
22-61 reference(s)		 The Jeener-Klein triple bottle
23-59 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
24-58 reference(s)
Artistic view of the prime numbers
25-57 reference(s)		 Numerical value table -trigonometric functions-
26-56 reference(s)		 The Bonan-Jeener-Klein triple bottle
27-56 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
28-53 reference(s)
The bidimensional John Conway's life game
29-49 reference(s)		 The random walk of photons escaping the Sun
30-47 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
31-47 reference(s)		 Erosion of a bidimensional random (with small and large scale correlations)medium
32-47 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
33-41 reference(s)		 The Sierpinski carpet -iteration 3-
34-41 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
35-41 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-
36-40 reference(s)
Bidimensional geometrical texture animation
37-39 reference(s)		 A fractal vegetal structure
38-39 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
39-38 reference(s)		 Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
40-38 reference(s)
Color palette 'jaune'
41-38 reference(s)		 From Mars to the Sun
42-38 reference(s)		 Untitled 0271 -a Tribute to Vassily Kandinsky-
43-38 reference(s)		 Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
44-38 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
45-37 reference(s)		 Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
46-37 reference(s)		 Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
47-37 reference(s)		 Tridimensional texture animation by means of the Generalized Product
48-37 reference(s)
The Möbius strip
49-37 reference(s)		 Tridimensional zoom in on the Mandelbrot set
50-37 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
51-37 reference(s)		 The first four iterations of the construction of the von Koch snowflake
52-36 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
53-36 reference(s)		 Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
54-36 reference(s)		 Bidimensional texture animation by means of the Generalized Product
55-36 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
56-35 reference(s)
A spherical cross-section inside the Menger sponge -iteration 5-
57-35 reference(s)		 Color palette 'verte'
58-34 reference(s)		 Hypercube
59-33 reference(s)		 Quantum vacuum fluctuations
60-32 reference(s)
The Universe at the heart of a Calabi-Yau manifold
61-31 reference(s)		 Autostereogram with an hidden volcano
62-31 reference(s)		 Fractal Self-Portrait -a Tribute to René Magritte-
63-30 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
64-30 reference(s)
Metropolis -a Tribute to Fritz Lang-
65-29 reference(s)		 Untitled 0265 -a Tribute to Vassily Kandinsky-
66-29 reference(s)		 The Jeener-Klein triple bottle
67-29 reference(s)		 The Menger sponge -iteration 5-
68-28 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
69-28 reference(s)		 Untitled 0294 -a Tribute to Victor Vasarely
70-27 reference(s)		 Maurits Cornelis Escher meets Piet Mondrian
71-27 reference(s)		 Black dots on a square lattice
72-26 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
73-25 reference(s)		 The generalized Ulam spiral
74-25 reference(s)		 Anaglyph -blue=right, red=left- of a fractal hypercube
75-25 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
76-22 reference(s)
The Ptolemaic system with equant -grey circle above the Earth- and with a small light grey circle -the epicycle- whose center describes a larger dark grey circle -the deferend-
77-22 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
78-22 reference(s)		 The Sierpinski carpet -iteration 1 to 5-
79-21 reference(s)		 The erosion of an amazing cross-section inside the Menger sponge -iteration 5-
80-21 reference(s)
Fractal Self-Portrait -'Décalcomanie', a Tribute to René Magritte-
81-21 reference(s)		 A fractal Klein bottle
82-21 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
83-20 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
84-19 reference(s)
Color palette 'cyan.01'
85-19 reference(s)		 The erosion of an amazing cross-section inside the Menger sponge -iteration 5- with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
86-19 reference(s)		 A fractal Möbius strip
87-19 reference(s)		 The Jeener-Klein quintuple bottle
88-19 reference(s)
The 64 first lines of the Pascal's Triangle -modulo 7-
89-18 reference(s)		 The Boy surface
90-18 reference(s)		 Fractal natural form
91-18 reference(s)		 Fractal natural form
92-18 reference(s)
The Ulam spiral with display of the first '4-twin' prime numbers
93-18 reference(s)		 An extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
94-18 reference(s)		 Dynamical tridimensional fractal structure
95-18 reference(s)		 Quadruple impossible staircase built by means of a paradoxal structure -a Tribute to Maurits Cornelis Escher-
96-18 reference(s)
Artistic view of the Big Bang
97-17 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon with five hidden cubes
98-17 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
99-17 reference(s)		 The Lorenz attractor
100-17 reference(s)
The Ptolemaic system with a moving equant -grey circle above the Earth- with a small light grey circle -the epicycle- whose center describes a larger dark grey circle -the deferend-
101-17 reference(s)		 From the infinitely small to the infinitely big
102-17 reference(s)		 Quantum vacuum fluctuation dynamics
103-16 reference(s)		 An aperiodic Penrose tiling of the plane
104-16 reference(s)
Autostereogram with an hidden volcano
105-16 reference(s)		 The Boy surface
106-16 reference(s)		 An extended Menger sponge -iteration 5-
107-16 reference(s)		 The intersection of the Menger sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation-
108-16 reference(s)
A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
109-16 reference(s)		 Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
110-16 reference(s)		 My own quadruple impossible staircase -a Tribute to Maurits Cornelis Escher-
111-16 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
112-16 reference(s)
An extended Menger sponge -iteration 5-
113-15 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
114-15 reference(s)		 The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
115-15 reference(s)		 A shell (Jeener surface 1)in motion
116-15 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
117-15 reference(s)		 An aperiodic Penrose tiling of the plane
118-14 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
119-14 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
120-14 reference(s)
The Ulam spiral
121-14 reference(s)		 A simplified solar system including the Sun, Jupiter and a 'false' Pluto -Jupiter point of view-
122-14 reference(s)		 The erosion of the Menger sponge -iteration 5-
123-14 reference(s)		 Happy new year 2000
124-14 reference(s)
The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
125-14 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
126-14 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
127-14 reference(s)		 Where is the Universe?
128-13 reference(s)




2-The 128 most referenced Pages (*):

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



1-Galerie_CelestialMechanics.DIAPO
712 reference(s)		 2-EnsembleDesGaleriesFractales.DIAPO.0346
706 reference(s)
3-xrC_____OBJC.RB___1_______.11.Ondelettes.t.
704 reference(s)		 4-Vcatalogue.11
699 reference(s)
5-demo_14
592 reference(s)		 6-help.
401 reference(s)
7-EnsembleDesGaleries.DIAPO.0651
385 reference(s)		 8-Exposition_EcolePolytechnique_FeteDeLaScience_201910
355 reference(s)
9-ImagesDuVirtuel.01.Fra
354 reference(s)		 10-AVirtualSpaceTimeTravelMachine.Ang
340 reference(s)
11-An2000.01.Fra
281 reference(s)		 12-GenieLogiciel_VisualisationScientifique.01.vv
244 reference(s)
13-MorePages.
200 reference(s)		 14-RealNumbers.01.Fra
195 reference(s)
15-GoldenTriangle.01.Fra
187 reference(s)		 16-Commentaires_NKleinBottle.01
181 reference(s)
17-Galerie_NumberTheory.FV
175 reference(s)		 18-AVirtualSpaceTimeTravelMachine.Fra
174 reference(s)
19-Galerie_DeterministicFractalGeometry.FV
173 reference(s)		 20-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
172 reference(s)
21-SurfaceProjector.01.Fra
171 reference(s)		 22-Fractal.01
166 reference(s)
23-FloatingPointNumbers.01.Fra
166 reference(s)		 24-MathematiquesPhysiqueFractales.02
165 reference(s)
25-Stereogrammes_AutoStereogrammes.01
164 reference(s)		 26-Galerie_ArtisticCreation.FV
162 reference(s)
27-FaireDeLaRecherche.01.vv
162 reference(s)		 28-mail.01.vv
161 reference(s)
29-copyright.01.
160 reference(s)		 30-Fractal.11
158 reference(s)
31-UlamSpiral.01.Fra
156 reference(s)		 32-SurfaceProjector.01.Ang
155 reference(s)
33-realnumbers
154 reference(s)		 34-nombresreels
154 reference(s)
35-logiciel
153 reference(s)		 36-demo.14
153 reference(s)
37-demo
153 reference(s)		 38-genielogiciel
152 reference(s)
39-demo14
152 reference(s)		 40-LOG_xiMc.11
151 reference(s)
41-AProposSite.01.Fra
150 reference(s)		 42-an2000
149 reference(s)
43-MathematiquesPhysiqueFractales.12
148 reference(s)		 44-DieuScience.01.Fra
147 reference(s)
45-Galerie_ArtAndScience.FV
145 reference(s)		 46-Galerie_NewPictures.FV
144 reference(s)
47-Galerie_GeneralitiesVisualization.FV
142 reference(s)		 48-AQuoiServentLesMathematiques.01
142 reference(s)
49-Galerie_CelestialMechanics.FV
140 reference(s)		 50-GenieLogiciel.01.Fra
139 reference(s)
51-Kepler.02.
138 reference(s)		 52-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
136 reference(s)
53-catalogue.11
135 reference(s)		 54-MonodimensionalCellularAutomata.01.Fra
135 reference(s)
55-GoldenTriangle.01.Ang
135 reference(s)		 56-NDimensionalDeterministicFractalSets.01.Ang
134 reference(s)
57-Galerie_TextureSynthesis.FV
134 reference(s)		 58-ExpV_VirE.11
134 reference(s)
59-NDimensionalDeterministicFractalSets.01.Fra
133 reference(s)		 60-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
132 reference(s)
61-Informations_AboutPicturesAnimationsAndFiles.01.Ang
132 reference(s)		 62-Galerie_ParticleSystems.FV
132 reference(s)
63-present.01.
131 reference(s)		 64-subject.01.
130 reference(s)
65-Fractal.21
130 reference(s)		 66-FloatingPointNumbers.01.Ang
129 reference(s)
67-ExpV_VirE.21
129 reference(s)		 68-MathematiquesPhysiqueFractales.22
127 reference(s)
69-ImpossibleStructures.01.Ang
127 reference(s)		 70-Galerie_ImagesDesMathematiques.FV
127 reference(s)
71-NombresEtLumiere.01.vv.Fra
126 reference(s)		 72-Galerie_Astrophysics.FV
126 reference(s)
73-Fractal.03
126 reference(s)		 74-Galerie_BestOf.FV
123 reference(s)
75-IllusionConnaissance.02
122 reference(s)		 76-Galerie_FluidMechanics.FV
122 reference(s)
77-Galerie_DeterministicChaos.FV
122 reference(s)		 78-MathematiquesPhysiqueFractales.01
121 reference(s)
79-ImpossibleStructures.01.Fra
121 reference(s)		 80-ExpV_VirE.Ang
121 reference(s)
81-NatureDesMathematiques.01.vv.Fra
120 reference(s)		 82-Galerie_SignalProcessing.FV
120 reference(s)
83-Galerie_SensitivityToRoundingOffErrors.FV
120 reference(s)		 84-Galerie_QuantumMechanics.FV
120 reference(s)
85-EntrelacsIntertwinings.01.Ang
120 reference(s)		 86-Exposition_EcolePolytechnique_FeteDeLaScience_201810
119 reference(s)
87-EntrelacsIntertwinings.01.Fra
119 reference(s)		 88-Commentaires_DefinitionPseudoQuaternions.01
119 reference(s)
89-OrdinateursEtCalculs.01.Fra
118 reference(s)		 90-Informations_GoodNewsAndBadNews.01.Fra
118 reference(s)
91-LesApprentisDieux.01
117 reference(s)		 92-EnsembleDesGaleries.DIAPO.0001
117 reference(s)
93-AnimFractal.01.
117 reference(s)		 94-PerteDeLAssociativite.01
116 reference(s)
95-OrdinateurMathematiquesArt.01.Fra
116 reference(s)		 96-ImagesDuVirtuel.01.Fra.FV
116 reference(s)
97-DuModeleALImage.02.Fra
116 reference(s)		 98-Galerie_ImagesDidactiques.FV
115 reference(s)
99-Autostereograms.01.
115 reference(s)		 100-MonodimensionalCellularAutomata.01.Ang
114 reference(s)
101-Galerie_Tributes.FV
114 reference(s)		 102-OrdinateursEtCalculs.01.Ang
113 reference(s)
103-ArtScience.01
113 reference(s)		 104-An2000.02.Fra
113 reference(s)
105-RasoirDOccamEtMathematiques.01.vv.Fra
112 reference(s)		 106-IllusionConnaissance.01
112 reference(s)
107-FaireDesMathematiques.01.Fra
112 reference(s)		 108-Commentaires_DefinitionQuaternions.01
112 reference(s)
109-xrq_____hydrogene.61.K.
111 reference(s)		 110-ManyChaos.01.Ang
111 reference(s)
111-HommageBenoitMandelbrot.21
111 reference(s)		 112-Fractal.02
111 reference(s)
113-DecimalesPi_100000.vv
111 reference(s)		 114-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
110 reference(s)
115-infinity.01.vv
109 reference(s)		 116-PatrimoineHumanite.02.Fra
109 reference(s)
117-AvantPropos.01.Fra
109 reference(s)		 118-infinity.02.vv
108 reference(s)
119-create.03.
108 reference(s)		 120-UlamSpiral.01.Ang
108 reference(s)
121-MathematiquesLangageDuGrandLivreDeLaNature.12
107 reference(s)		 122-EnsembleDesGaleriesFractales.DIAPO.0001
107 reference(s)
123-RemarquesCerveau.01
106 reference(s)		 124-NombresPremiers_10000.vv
106 reference(s)
125-MathematiquesPhysiqueFractales.02.1
106 reference(s)		 126-An2000.04.Fra
105 reference(s)
127-Pcatalogue.11
104 reference(s)		 128-Informations_AboutPicturesAnimationsAndFiles.01.Fra
104 reference(s)

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




Copyright © Jean-François COLONNA, 2019-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2019-2023.