Monthly Best Of on 03/28/2014




A 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set 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 03/28/2014 and last updated on 11/14/2023 17:48:28 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Tridimensional representation of a quadridimensional Calabi-Yau manifold
1-877 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
2-670 reference(s)		 Sixteen interlaced torus
3-513 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
4-467 reference(s)
The 126.646 first digits -base 6- of 'phi' -the golden ratio- displayed as an 'absolute' tridimensional random walk
5-436 reference(s)		 N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed with 2 different optimization options on the same computer (sensitivity to rounding-off errors)
6-313 reference(s)		 Happy new year 2000
7-261 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
8-245 reference(s)
A fractal double helix
9-244 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
10-217 reference(s)		 Autostereogram with an hidden volcano
11-212 reference(s)		 Tridimensional Hilbert Curve -iteration 3-
12-207 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
13-197 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
14-185 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
15-182 reference(s)		 The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
16-163 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
17-157 reference(s)		 Artistic variation on a tridimensional fractal cross -iteration 2-
18-156 reference(s)		 The generalized Ulam spiral
19-142 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
20-132 reference(s)
The 126.646 first digits -base 6- of the square root of 2 - displayed as an 'absolute' tridimensional random walk
21-128 reference(s)		 Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
22-126 reference(s)		 From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
23-121 reference(s)		 Bidimensional Hilbert Curve -iteration 4-
24-121 reference(s)
The random walk of photons escaping the Sun
25-117 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
26-115 reference(s)		 Artistic view of the prime numbers
27-115 reference(s)		 Autostereogram with an hidden volcano
28-114 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
29-112 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
30-110 reference(s)		 An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
31-109 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
32-109 reference(s)
Autostereogram with an hidden volcano
33-107 reference(s)		 The Lorenz attractor
34-107 reference(s)		 The random walk of photons escaping the Sun
35-95 reference(s)		 Monument Valley à la David Hockney
36-93 reference(s)
Zoom in on the von Koch curve
37-89 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
38-89 reference(s)		 Botticelli anomaly on the Moon
39-85 reference(s)		 Quantum vacuum fluctuations
40-80 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
41-80 reference(s)		 The fire of life -a Tribute to Francis Crick, Rosalind Franklin and James Watson-
42-79 reference(s)		 The Jeener-Klein triple bottle
43-71 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
44-70 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
45-70 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
46-69 reference(s)		 Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
47-67 reference(s)		 Quantum vacuum fluctuations
48-66 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
49-66 reference(s)		 Quark and gluon structure of a nucleon
50-66 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
51-66 reference(s)		 Autostereogram with an hidden ring and ghost bows
52-64 reference(s)
Tridimensional fractal structure -the space-time foam?-
53-62 reference(s)		 Pseudo Olympic Rings
54-60 reference(s)		 Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
55-59 reference(s)		 The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
56-58 reference(s)
The tridimensional Ising Model with 2-state spins, temperature=0.2, random initial conditions and an increasing number of iterations -from 100 to 4000-
57-57 reference(s)		 A fractal hypercube
58-57 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
59-52 reference(s)		 The Scream -a Tribute to Edvard Munch-
60-52 reference(s)
The Universe at the heart of a Calabi-Yau manifold
61-51 reference(s)		 An aperiodic Penrose tiling of the plane
62-51 reference(s)		 Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
63-51 reference(s)		 Where is the Multiverse?
64-49 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
65-48 reference(s)		 Fractal structure of a nucleon
66-48 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
67-48 reference(s)		 Quark and gluon structure of a nucleon
68-47 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
69-47 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
70-46 reference(s)		 An aperiodic Penrose tiling of the plane
71-45 reference(s)		 Autostereogram with an hidden volcano
72-45 reference(s)
From the infinitely small to the infinitely big
73-45 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
74-43 reference(s)		 True colors autostereogram of a fractal landscape
75-43 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
76-43 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
77-43 reference(s)		 2000 evenly distributed points on a sphere by means of the Fibonacci spiral
78-42 reference(s)		 Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
79-41 reference(s)		 Bidimensional brownian motion -the colors used (magenta,red,yellow,green,cyan)are an increasing function of the time- and its 'external border' -white-
80-41 reference(s)
Autostereogram with an hidden volcano
81-40 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
82-36 reference(s)		 'There is a war' -a Tribute to Leonard Cohen-
83-36 reference(s)		 A variable Archimedes spiral displaying 1000 numbers
84-36 reference(s)
From Pluto to the Sun (non linear scales)
85-36 reference(s)		 Anaglyph -blue=right, red=left- of a fractal hypercube
86-36 reference(s)		 Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold that can also be viewed as a set of 4x3 stereograms
87-36 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
88-35 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
89-35 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
90-35 reference(s)		 Untitled 0202 -a Tribute to Henri Matisse-
91-34 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
92-34 reference(s)
Fractal 7-foil torus knot
93-34 reference(s)		 Tridimensional eroded medium
94-34 reference(s)		 The Bonan-Jeener-Klein triple bottle
95-34 reference(s)		 Untitled 0205
96-33 reference(s)
Fractal natural form
97-33 reference(s)		 Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
98-33 reference(s)		 Autostereogram with an hidden volcano and an animated disguise texture
99-32 reference(s)		 Hypercube
100-32 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold that can also be viewed as a set of 4x3 stereograms
101-32 reference(s)		 A dynamic 'crumpled' Klein bottle defined by means of three sets of bidimensional fields
102-31 reference(s)		 Autostereogram of Monument Valley
103-31 reference(s)		 Where is the Universe?
104-30 reference(s)
Autostereogram with an hidden ring and ghost bows
105-30 reference(s)		 An Archimedes spiral displaying 1000 numbers
106-30 reference(s)		 Monument Valley à la David Hockney
107-30 reference(s)		 Animation of a sunrise on mountains
108-30 reference(s)
Rotation about the Y (vertical)axis of a tridimensional fractal aggregate that can also be viewed as a set of 4x3 pseudo-stereograms
109-29 reference(s)		 The Lorenz attractor
110-29 reference(s)		 Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
111-29 reference(s)		 Sixteen interlaced fractal torus
112-29 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
113-29 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
114-29 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
115-29 reference(s)		 The tower -a Tribute to Vladimir Tatline-
116-29 reference(s)
Universe or Multiverse -The fractal Universe-?
117-28 reference(s)		 Artistic view of the Big Bang
118-28 reference(s)		 An aperiodic Penrose tiling of the plane
119-28 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
120-28 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
121-28 reference(s)		 Monument Valley à la David Hockney
122-28 reference(s)		 A set of 4x3 stereograms of a fractal hypercube
123-28 reference(s)		 A set of 4x3 stereograms of a tridimensional interpolation between a fractal structure and a cubic mesh
124-28 reference(s)
The Klein bottle
125-28 reference(s)		 Volcano
126-28 reference(s)		 A pay slip
127-27 reference(s)		 The generalized Ulam spiral displaying 100 numbers
128-27 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
520 reference(s)		 2-Galerie_ArtAndScience.FV
472 reference(s)
3-Fractal.01
444 reference(s)		 4-An2000.01.Fra
442 reference(s)
5-AQuoiServentLesMathematiques.01
431 reference(s)		 6-AVirtualSpaceTimeTravelMachine.Ang
388 reference(s)
7-Stereogrammes_AutoStereogrammes.01
377 reference(s)		 8-help.
347 reference(s)
9-aquoiserventlesmathematiques.01
342 reference(s)		 10-FloatingPointNumbers.01.Fra
300 reference(s)
11-fractal.01
299 reference(s)		 12-UlamSpiral.01.Fra
274 reference(s)
13-FaireDeLaRecherche.01.vv
258 reference(s)		 14-RealNumbers.01.Fra
253 reference(s)
15-copyright.01.
243 reference(s)		 16-Galerie_DeterministicFractalGeometry.FV
242 reference(s)
17-Galerie_GeneralitiesVisualization.FV
218 reference(s)		 18-Galerie_NumberTheory.FV
214 reference(s)
19-AVirtualSpaceTimeTravelMachine.Fra
211 reference(s)		 20-SurfaceProjector.01.Ang
210 reference(s)
21-GenieLogiciel_VisualisationScientifique.01.vv
202 reference(s)		 22-mail.01.vv
201 reference(s)
23-MathematiquesPhysiqueFractales.02
200 reference(s)		 24-MorePages.
199 reference(s)
25-Galerie_NewPictures.FV
198 reference(s)		 26-Galerie_CelestialMechanics.FV
193 reference(s)
27-fairedelarecherche.01.vv
192 reference(s)		 28-Galerie_ArtisticCreation.FV
192 reference(s)
29-ExpV_VirE.11
191 reference(s)		 30-GoldenTriangle.01.Fra
190 reference(s)
31-Informations_AboutPicturesAnimationsAndFiles.01.Ang
188 reference(s)		 32-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
185 reference(s)
33-DieuScience.01.Fra
184 reference(s)		 34-catalogue.11
180 reference(s)
35-SurfaceProjector.01.Fra
178 reference(s)		 36-Galerie_QuantumMechanics.FV
178 reference(s)
37-ImagesDuVirtuel.01.Fra.FV
173 reference(s)		 38-demo
172 reference(s)
39-MonodimensionalCellularAutomata.01.Fra
172 reference(s)		 40-realnumbers
169 reference(s)
41-create.03.
169 reference(s)		 42-IllusionConnaissance.02
164 reference(s)
43-Galerie_DeterministicChaos.FV
164 reference(s)		 44-ExpV_VirE.21
164 reference(s)
45-AProposSite.01.Fra
164 reference(s)		 46-UlamSpiral.01.Ang
163 reference(s)
47-NDimensionalDeterministicFractalSets.01.Ang
163 reference(s)		 48-Galerie_Astrophysics.FV
163 reference(s)
49-an2000
162 reference(s)		 50-nombresreels
161 reference(s)
51-demo14
161 reference(s)		 52-demo.14
161 reference(s)
53-ImpossibleStructures.01.Ang
161 reference(s)		 54-logiciel
160 reference(s)
55-genielogiciel
160 reference(s)		 56-Informations_GoodNewsAndBadNews.01.Fra
160 reference(s)
57-Galerie_ParticleSystems.FV
160 reference(s)		 58-FloatingPointNumbers.01.Ang
160 reference(s)
59-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
158 reference(s)		 60-Autostereograms.01.
157 reference(s)
61-MonodimensionalCellularAutomata.01.Ang
156 reference(s)		 62-OrdinateurMathematiquesArt.01.Fra
155 reference(s)
63-Fractal.03
155 reference(s)		 64-infinity.01.vv
154 reference(s)
65-OrdinateursEtCalculs.01.Fra
154 reference(s)		 66-NatureDesMathematiques.01.vv.Fra
154 reference(s)
67-ImagesDuVirtuel.01.Fra
154 reference(s)		 68-AnimFractal.01.
153 reference(s)
69-MathematiquesPhysiqueFractales.22
152 reference(s)		 70-Fractal.11
152 reference(s)
71-RemarquesCerveau.01
151 reference(s)		 72-MathematiquesPhysiqueFractales.01
151 reference(s)
73-NombresEtLumiere.01.vv.Fra
150 reference(s)		 74-NDimensionalDeterministicFractalSets.01.Fra
150 reference(s)
75-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
150 reference(s)		 76-present.01.
149 reference(s)
77-GenieLogiciel.01.Fra
149 reference(s)		 78-subject.01.
147 reference(s)
79-AvantPropos.01.Fra
147 reference(s)		 80-Informations_AboutPicturesAnimationsAndFiles.01.Fra
146 reference(s)
81-OrdinateursEtCalculs.01.Ang
145 reference(s)		 82-Vcatalogue.11
144 reference(s)
83-ImpossibleStructures.01.Fra
142 reference(s)		 84-ExpV_VirE.01.Fra
141 reference(s)
85-EntrelacsIntertwinings.01.Fra
141 reference(s)		 86-EnsembleDesGaleries.DIAPO.0302
141 reference(s)
87-LesApprentisDieux.01
140 reference(s)		 88-GoldenTriangle.01.Ang
140 reference(s)
89-Galerie_SignalProcessing.FV
140 reference(s)		 90-EnsembleDesGaleries.DIAPO.0001
140 reference(s)
91-ArtScience.11.Fra
140 reference(s)		 92-Galerie_GeneralitiesVisualization.DIAPO.0094
139 reference(s)
93-EntrelacsIntertwinings.01.Ang
139 reference(s)		 94-EnsembleDesGaleriesFractales.DIAPO.0001
139 reference(s)
95-EnsembleDesGaleries.DIAPO.0298
139 reference(s)		 96-Galerie_FluidMechanics.FV
138 reference(s)
97-ExpV_VirE.Ang
138 reference(s)		 98-EnsembleDesGaleries.DIAPO.0481
138 reference(s)
99-EnsembleDesGaleries.DIAPO.0303
138 reference(s)		 100-EnsembleDesGaleries.DIAPO.0301
138 reference(s)
101-Galerie_BestOf.FV
137 reference(s)		 102-infinity.02.vv
136 reference(s)
103-Galerie_TextureSynthesis.FV
136 reference(s)		 104-EnsembleDesGaleries.DIAPO.0862
136 reference(s)
105-EnsembleDesGaleries.DIAPO.0300
136 reference(s)		 106-EnsembleDesGaleries.DIAPO.0299
136 reference(s)
107-EnsembleDesGaleries.DIAPO.0130
136 reference(s)		 108-ManyChaos.01.Fra
135 reference(s)
109-Galerie_AnthropomorphicPatterns.DIAPO.0016
135 reference(s)		 110-EnsembleDesGaleries.DIAPO.0478
135 reference(s)
111-Kepler.02.
134 reference(s)		 112-Galerie_DeterministicFractalGeometry.DIAPO.0020
134 reference(s)
113-Galerie_AnthropomorphicPatterns.DIAPO.0056
134 reference(s)		 114-Galerie_AnthropomorphicPatterns.DIAPO.0006
134 reference(s)
115-EnsembleDesGaleries.DIAPO.0871
134 reference(s)		 116-EnsembleDesGaleries.DIAPO.0807
134 reference(s)
117-EnsembleDesGaleries.DIAPO.0549
134 reference(s)		 118-EnsembleDesGaleries.DIAPO.0307
134 reference(s)
119-EnsembleDesGaleries.DIAPO.0196
134 reference(s)		 120-EnsembleDesGaleries.DIAPO.0114
134 reference(s)
121-PerteDeLAssociativite.01.ADD3
133 reference(s)		 122-MathematiquesModeleOutilArtiste.02.Ang
133 reference(s)
123-Galerie_ArtAndScience.DIAPO.0009
133 reference(s)		 124-Galerie_AnthropomorphicPatterns.DIAPO.0058
133 reference(s)
125-EnsembleDesGaleriesFractales.DIAPO.0174
133 reference(s)		 126-EnsembleDesGaleries.DIAPO.0562
133 reference(s)
127-Galerie_Tributes.FV
132 reference(s)		 128-Galerie_AnthropomorphicPatterns.DIAPO.0007
132 reference(s)

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Copyright © Jean-François COLONNA, 2014-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2014-2023.