Monthly Best Of on 03/28/2019




Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-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 03/28/2019 and last updated on 06/04/2019 15:35:25 -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
1-249 reference(s)
Erosion of a bidimensional random (with small and large scale correlations)medium
2-216 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
3-204 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-181 reference(s)
The random walk of photons escaping the Sun
5-177 reference(s)
Autostereogram with an hidden volcano
6-162 reference(s)
Happy new year 2000
7-144 reference(s)
Hypercube
8-131 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
9-117 reference(s)
Recursive subdivision of four Golden Rectangles -a tribute to Piet Mondrian-
10-111 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
11-111 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
12-106 reference(s)
The Bonan-Jeener's triple Klein bottle
13-106 reference(s)
Anaglyph -blue=right, red=left- of an hypercube
14-103 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
15-101 reference(s)
Pseudo Olympic Rings
16-98 reference(s)
From 'geocentrism' to 'heliocentrism'
17-91 reference(s)
The bidimensional John Conway's life game
18-80 reference(s)
The Jeener's triple Klein bottle
19-74 reference(s)
Gravitation and space-time curvature
20-73 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
21-73 reference(s)
Bidimensional Hilbert Curve -iteration 4-
22-71 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
23-69 reference(s)
Autostereogram with an hidden ring and ghost bows
24-68 reference(s)
The random walk of photons escaping the Sun
25-67 reference(s)
Autostereogram with an hidden volcano
26-55 reference(s)
A fractal Klein bottle
27-55 reference(s)
The Universe at the heart of a Calabi-Yau manifold
28-52 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
29-52 reference(s)
My own triple impossible staircase -a tribute to Maurits Cornelis Escher-
30-51 reference(s)
The Sierpinski carpet -iteration 5-
31-50 reference(s)
Autostereogram with an hidden volcano
32-49 reference(s)
The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
33-49 reference(s)
The Ulam spiral
34-49 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
35-49 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
36-48 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
37-48 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-
38-48 reference(s)
Bidimensional geometrical texture animation
39-47 reference(s)
The Sierpinski carpet -iteration 3-
40-47 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
41-47 reference(s)
Artistic view of the prime numbers
42-46 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
43-45 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
44-45 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
45-45 reference(s)
The Möbius strip
46-44 reference(s)
Tridimensional zoom in on the Mandelbrot set
47-44 reference(s)
Autostereogram with an hidden volcano
48-43 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
49-43 reference(s)
Tridimensional texture animation by means of the Generalized Product
50-43 reference(s)
From Mars to the Sun
51-43 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
52-43 reference(s)
A fractal Möbius strip
53-43 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
54-42 reference(s)
A pseudo-periodical Penrose tiling of the plane
55-42 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
56-42 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
57-42 reference(s)
Bidimensional texture animation by means of the Generalized Product
58-42 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
59-42 reference(s)
Tridimensional Hilbert Curve -iteration 3-
60-41 reference(s)
Metropolis -a tribute to Fritz Lang-
61-39 reference(s)
Quantum vacuum fluctuations
62-38 reference(s)
Autostereogram of the CMAP
63-38 reference(s)
A spherical cross-section inside the Menger sponge -iteration 5-
64-37 reference(s)
A quaternionic Julia set -tridimensional cross-section-
65-37 reference(s)
The Jeener's triple Klein bottle
66-37 reference(s)
Sixteen interlaced fractal torus
67-36 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
68-36 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
69-36 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
70-35 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
71-35 reference(s)
A pseudo-periodical Penrose tiling of the plane
72-34 reference(s)
A fractal pseudo-periodical Penrose tiling
73-34 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
74-31 reference(s)
The Menger sponge -iteration 5-
75-31 reference(s)
A shell (Jeener surface 1)
76-31 reference(s)
Anaglyph -blue=right, red=left- of a fractal hypercube
77-30 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
78-29 reference(s)
A fractal vegetal structure
79-29 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
80-29 reference(s)
The generalized Ulam spiral
81-29 reference(s)
A pseudo-periodical Penrose tiling of the plane
82-28 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
83-28 reference(s)
True colors autostereogram of a fractal landscape
84-28 reference(s)
A pseudo-periodical Penrose tiling of the plane -a tribute to Piet Mondrian and Roger Penrose-
85-27 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
86-27 reference(s)
An Archimedes spiral displaying 100000 numbers
87-26 reference(s)
The 1.048.576 first digits -base 3- of 'pi' -the first 'digit' is the top left red square-
88-26 reference(s)
An amazing cross-section inside the Menger sponge -iteration 5-
89-26 reference(s)
The Klein bottle
90-26 reference(s)
Quantum vacuum fluctuations
91-25 reference(s)
The 64 first lines of the Pascal's Triangle
92-25 reference(s)
A pseudo-periodical Penrose tiling of the plane
93-25 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
94-25 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
95-25 reference(s)
The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
96-25 reference(s)
Iterations in the complex plane: the computation of the Mandelbrot set
97-25 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
98-25 reference(s)
The bidimensional field defining the three coordinates of the double Jeener bottle
99-25 reference(s)
A tridimensionally distorded pseudo-periodical Penrose tiling of the Golden Decagon
100-24 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
101-24 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
102-24 reference(s)
No Title 0267 -a tribute to Piet Mondrian-
103-24 reference(s)
The first four iterations of the construction of the von Koch snowflake
104-23 reference(s)
A tridimensionally distorded pseudo-periodical Penrose tiling of the plane
105-23 reference(s)
A pseudo-periodical Penrose tiling of the plane
106-23 reference(s)
Autostereogram with an hidden ring and ghost bows
107-23 reference(s)
Fractal natural form
108-23 reference(s)
Fractal natural form
109-23 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
110-23 reference(s)
The Jeener's quintuple Klein bottle
111-23 reference(s)
display of Ph(Zeta)inside [-50.0,+50.0]x[-50.0,+50.0]
112-22 reference(s)
A pseudo-periodical Penrose tiling of the plane
113-22 reference(s)
Monument Valley à la David Hockney
114-22 reference(s)
Quark and gluon structure of a nucleon
115-22 reference(s)
A half-random extended Menger sponge -iteration 5-
116-22 reference(s)
The Lorenz attractor
117-22 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
118-21 reference(s)
The pseudo-sphere -a Tribute to Jacques Cartier-
119-21 reference(s)
An arbitrary surface (Jeener surface 2)in motion
120-21 reference(s)
An amazing cross-section inside the Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
121-21 reference(s)
Bidimensional zoom in on the Mandelbrot set
122-21 reference(s)
The Birth of the Universe
123-21 reference(s)
A shell (Jeener surface 1)in motion
124-21 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
125-21 reference(s)
The interlaced epicycloidal Jeener bottle
126-21 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
127-20 reference(s)
The Boy surface
128-20 reference(s)




2-The 128 most referenced Pages (*):

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



1-An2000.01.Fra
999 reference(s)
2-demo_14
841 reference(s)
3-help.
452 reference(s)
4-AVirtualSpaceTimeTravelMachine.Ang
445 reference(s)
5-ComplexiteStructurelleClassements.11
336 reference(s)
6-Vcatalogue.11
324 reference(s)
7-GenieLogiciel_VisualisationScientifique.01.vv
274 reference(s)
8-Stereogrammes_AutoStereogrammes.01
235 reference(s)
9-Fractal.01
234 reference(s)
10-RealNumbers.01.Fra
218 reference(s)
11-Informations_GoodNewsAndBadNews.01.Fra
218 reference(s)
12-Informations_GoodNewsAndBadNews.01.Ang
200 reference(s)
13-GoldenTriangle.01.Fra
195 reference(s)
14-Galerie_NumberTheory.FV
193 reference(s)
15-MathematiquesPhysiqueFractales.02
192 reference(s)
16-SurfaceProjector.01.Fra
188 reference(s)
17-FloatingPointNumbers.01.Fra
188 reference(s)
18-AVirtualSpaceTimeTravelMachine.Fra
188 reference(s)
19-Galerie_DeterministicFractalGeometry.FV
182 reference(s)
20-FaireDeLaRecherche.01.vv
175 reference(s)
21-Autostereograms.01.
174 reference(s)
22-AProposSite.01.Fra
174 reference(s)
23-Galerie_GeneralitiesVisualization.FV
171 reference(s)
24-copyright.01.
169 reference(s)
25-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
169 reference(s)
26-mail.01.vv
168 reference(s)
27-nombresreels
167 reference(s)
28-demo
166 reference(s)
29-an2000
166 reference(s)
30-MorePages.
166 reference(s)
31-logiciel
165 reference(s)
32-demo14
165 reference(s)
33-realnumbers
164 reference(s)
34-genielogiciel
164 reference(s)
35-demo.14
164 reference(s)
36-MathematiquesPhysiqueFractales.22
161 reference(s)
37-Galerie_NewPictures.FV
160 reference(s)
38-Commentaires_NKleinBottle.01
159 reference(s)
39-ExpV_VirE.11
157 reference(s)
40-Galerie_ArtisticCreation.FV
154 reference(s)
41-SurfaceProjector.01.Ang
151 reference(s)
42-Fractal.11
151 reference(s)
43-Fractal.03
149 reference(s)
44-NDimensionalDeterministicFractalSets.01.Fra
148 reference(s)
45-UlamSpiral.01.Fra
147 reference(s)
46-MathematiquesPhysiqueFractales.12
147 reference(s)
47-LOG_xiMc.11
147 reference(s)
48-IllusionConnaissance.02
147 reference(s)
49-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
147 reference(s)
50-GenieLogiciel.01.Fra
144 reference(s)
51-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
144 reference(s)
52-Fractal.21
144 reference(s)
53-EnsembleDesGaleries.DIAPO.0001
144 reference(s)
54-present.01.
143 reference(s)
55-GoldenTriangle.01.Ang
143 reference(s)
56-Galerie_ArtAndScience.FV
143 reference(s)
57-Galerie_BestOf.FV
142 reference(s)
58-EntrelacsIntertwinings.01.Fra
142 reference(s)
59-OrdinateursEtCalculs.01.Fra
141 reference(s)
60-Galerie_TextureSynthesis.FV
140 reference(s)
61-AnimFractal.01.
140 reference(s)
62-MonodimensionalCellularAutomata.01.Fra
139 reference(s)
63-Galerie_ImagesDesMathematiques.FV
138 reference(s)
64-Galerie_CelestialMechanics.FV
138 reference(s)
65-DieuScience.01.Fra
138 reference(s)
66-FloatingPointNumbers.01.Ang
137 reference(s)
67-Galerie_QuantumMechanics.FV
136 reference(s)
68-EntrelacsIntertwinings.01.Ang
136 reference(s)
69-NatureDesMathematiques.01.vv.Fra
135 reference(s)
70-PerteDeLAssociativite.01
134 reference(s)
71-NDimensionalDeterministicFractalSets.01.Ang
134 reference(s)
72-ImagesDuVirtuel.01.Fra.FV
134 reference(s)
73-ExpV_VirE.21
134 reference(s)
74-AQuoiServentLesMathematiques.01
134 reference(s)
75-Galerie_DeterministicChaos.FV
133 reference(s)
76-OrdinateursEtCalculs.01.Ang
131 reference(s)
77-EnsembleDesGaleries.DIAPO.0471
131 reference(s)
78-Galerie_ParticleSystems.FV
130 reference(s)
79-Fractal.02
130 reference(s)
80-EnsembleDesGaleries.DIAPO.1056
129 reference(s)
81-EnsembleDesGaleries.DIAPO.1055
129 reference(s)
82-EnsembleDesGaleries.DIAPO.1088
128 reference(s)
83-EnsembleDesGaleries.DIAPO.1087
128 reference(s)
84-EnsembleDesGaleries.DIAPO.1086
128 reference(s)
85-EnsembleDesGaleries.DIAPO.1054
128 reference(s)
86-EnsembleDesGaleries.DIAPO.1053
128 reference(s)
87-Kepler.02.
127 reference(s)
88-EnsembleDesGaleriesFractales.DIAPO.0001
127 reference(s)
89-EnsembleDesGaleries.DIAPO.1089
127 reference(s)
90-EnsembleDesGaleries.DIAPO.1059
127 reference(s)
91-EnsembleDesGaleries.DIAPO.0472
127 reference(s)
92-EnsembleDesGaleries.DIAPO.0470
127 reference(s)
93-DuModeleALImage.02.Fra
127 reference(s)
94-subject.01.
126 reference(s)
95-OrdinateurMathematiquesArt.01.Fra
126 reference(s)
96-ImpossibleStructures.01.Ang
126 reference(s)
97-EnsembleDesGaleries.DIAPO.1093
126 reference(s)
98-EnsembleDesGaleries.DIAPO.1092
126 reference(s)
99-EnsembleDesGaleries.DIAPO.1090
126 reference(s)
100-EnsembleDesGaleries.DIAPO.0562
126 reference(s)
101-EnsembleDesGaleries.DIAPO.0476
126 reference(s)
102-EnsembleDesGaleries.DIAPO.0474
126 reference(s)
103-EnsembleDesGaleries.DIAPO.0271
126 reference(s)
104-EnsembleDesGaleries.DIAPO.0002
126 reference(s)
105-ArtScience.01
126 reference(s)
106-EnsembleDesGaleries.DIAPO.1097
125 reference(s)
107-EnsembleDesGaleries.DIAPO.1095
125 reference(s)
108-EnsembleDesGaleries.DIAPO.1058
125 reference(s)
109-EnsembleDesGaleries.DIAPO.1057
125 reference(s)
110-EnsembleDesGaleries.DIAPO.0564
125 reference(s)
111-EnsembleDesGaleries.DIAPO.0563
125 reference(s)
112-EnsembleDesGaleries.DIAPO.0561
125 reference(s)
113-EnsembleDesGaleries.DIAPO.0475
125 reference(s)
114-EnsembleDesGaleries.DIAPO.0473
125 reference(s)
115-create.03.
124 reference(s)
116-VirtualChaos.01.Fra
124 reference(s)
117-PatrimoineHumanite.02.Fra
124 reference(s)
118-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
124 reference(s)
119-EnsembleDesGaleries.DIAPO.1094
124 reference(s)
120-EnsembleDesGaleries.DIAPO.1091
124 reference(s)
121-EnsembleDesGaleries.DIAPO.1060
124 reference(s)
122-EnsembleDesGaleries.DIAPO.0567
124 reference(s)
123-EnsembleDesGaleries.DIAPO.0560
124 reference(s)
124-EnsembleDesGaleries.DIAPO.0481
124 reference(s)
125-EnsembleDesGaleries.DIAPO.0273
124 reference(s)
126-UlamSpiral.01.Ang
123 reference(s)
127-ImpossibleStructures.01.Fra
123 reference(s)
128-EnsembleDesGaleries.DIAPO.1100
123 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.