Monthly Best Of on 03/28/2016




Iterations in the complex plane

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 03/28/2016 and last updated on 11/14/2023 17:48:56 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Hypercube
1-807 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-674 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
3-413 reference(s)		 Bidimensional Hilbert Curve -iteration 4-
4-348 reference(s)
The evolution of the Klein bottle using the Lorenz attractor
5-343 reference(s)		 The random walk of photons escaping the Sun
6-338 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
7-288 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
8-281 reference(s)
The first four iterations of the construction of the von Koch snowflake
9-275 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
10-271 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
11-219 reference(s)		 Happy new year 2000
12-208 reference(s)
Tridimensional Hilbert Curve -iteration 3-
13-185 reference(s)		 Autostereogram with an hidden volcano
14-182 reference(s)		 Sixteen interlaced torus
15-173 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
16-147 reference(s)
Autostereogram with an hidden volcano
17-145 reference(s)		 The Bonan-Jeener-Klein triple bottle
18-134 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
19-131 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
20-127 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
21-115 reference(s)		 The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
22-107 reference(s)		 Artistic view of the prime numbers
23-104 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
24-104 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
25-100 reference(s)		 The random walk of photons escaping the Sun
26-92 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
27-88 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
28-84 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
29-82 reference(s)		 An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
30-77 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
31-77 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
32-76 reference(s)
Quantum vacuum fluctuations
33-75 reference(s)		 The Jeener-Klein triple bottle
34-74 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
35-73 reference(s)		 Quark and gluon structure of a nucleon
36-72 reference(s)
Pseudo Olympic Rings
37-69 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
38-66 reference(s)		 Autostereogram with an hidden volcano
39-64 reference(s)		 Sixteen interlaced fractal torus
40-64 reference(s)
The bidimensional John Conway's life game
41-56 reference(s)		 A Peano 'fractal plane' defined by means of three bidimensional fields
42-55 reference(s)		 The generalized Ulam spiral
43-53 reference(s)		 An aperiodic Penrose tiling of the plane
44-51 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
45-51 reference(s)		 The random walk of photons escaping the Sun
46-51 reference(s)		 Autostereogram of Monument Valley
47-48 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
48-48 reference(s)
Untitled 0239
49-46 reference(s)		 Fractal natural form
50-46 reference(s)		 Autostereogram with an hidden volcano
51-44 reference(s)		 True colors autostereogram of a fractal landscape
52-44 reference(s)
Portrait (Lena)-with a 'OY' symmetry-
53-44 reference(s)		 Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
54-43 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
55-43 reference(s)		 Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
56-42 reference(s)
From Mars to the Sun
57-42 reference(s)		 The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
58-41 reference(s)		 Autostereogram with an hidden volcano
59-40 reference(s)		 Tridimensional zoom in on the Mandelbrot set
60-40 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
61-39 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
62-39 reference(s)		 Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
63-39 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
64-39 reference(s)
The Möbius strip
65-39 reference(s)		 Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
66-39 reference(s)		 The golden binary tree
67-39 reference(s)		 Bidimensional geometrical texture animation
68-38 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
69-38 reference(s)		 Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
70-38 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
71-37 reference(s)		 Tridimensional texture animation by means of the Generalized Product
72-37 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
73-36 reference(s)		 Bidimensional texture animation by means of the Generalized Product
74-36 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-
75-36 reference(s)		 Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
76-36 reference(s)
Autostereogram with an hidden ring and ghost bows
77-34 reference(s)		 Fractal natural form
78-33 reference(s)		 A fractal aperiodic Penrose tiling
79-33 reference(s)		 A fractal hypercube
80-33 reference(s)
Autostereogram with an hidden ring and ghost bows
81-31 reference(s)		 An aperiodic Penrose tiling of the plane
82-30 reference(s)		 Artistic view of a binary tree with 256 leaves
83-30 reference(s)		 From 'geocentrism' to 'heliocentrism'
84-30 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
85-29 reference(s)		 2000 evenly distributed points on a sphere by means of the Fibonacci spiral
86-29 reference(s)		 The Scream -a Tribute to Edvard Munch-
87-29 reference(s)		 Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
88-28 reference(s)
Zoom in on the von Koch curve
89-28 reference(s)		 The set of bidimensional fields defining the 'Y' coordinate of an interpolation between the Klein bottle and a 'double sphere'
90-28 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
91-28 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
92-27 reference(s)
Tridimensional display of the inflationary Universe
93-27 reference(s)		 A set of 4x3 stereograms of a fractal hypercube
94-27 reference(s)		 Quark and gluon structure of a nucleon
95-26 reference(s)		 Animation of a natural form
96-25 reference(s)
The 1.000 first digits -base 10- of 'pi' displayed on an helix -good point of view-
97-25 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
98-25 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0]
99-24 reference(s)		 Artistic view of a sphere
100-24 reference(s)
An Archimedes spiral displaying 5000 numbers
101-24 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)
102-24 reference(s)		 Tridimensional fractal structure -the space-time foam?-
103-24 reference(s)		 The abelian -commutative- group defined on elliptic curves
104-24 reference(s)
Bidimensional zoom in on the Mandelbrot set
105-23 reference(s)		 Tridimensional Hilbert Curve -iterations 1 to 3-
106-23 reference(s)		 Bidimensional localization of a point P its distances to the three vertices of a triangle ABC being known, the four points being coplanar
107-23 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
108-22 reference(s)
A set of 4x3 stereograms of a fractal sphere
109-22 reference(s)		 The Klein bottle
110-22 reference(s)		 Untitled 0243
111-21 reference(s)		 A pay slip
112-21 reference(s)
A punched paper tape
113-21 reference(s)		 The generalized Ulam spiral displaying 100 numbers
114-21 reference(s)		 Sunny Monument Valley
115-21 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
116-21 reference(s)
The Solar System with a dark blue virtual planet -heliocentric point of view-
117-21 reference(s)		 Artistic view of a 3-foil torus knot
118-21 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
119-21 reference(s)		 The Universe at the heart of a Calabi-Yau manifold
120-20 reference(s)
Artistic view of the Big Bang
121-20 reference(s)		 Botticelli anomaly on the Moon
122-20 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System
123-20 reference(s)		 The 126.646 first digits -base 6- of 'phi' -the golden ratio- displayed as an 'absolute' tridimensional random walk
124-20 reference(s)
The Lorenz attractor
125-20 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
126-20 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
127-20 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
128-20 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
682 reference(s)		 2-GenieLogiciel_VisualisationScientifique.01.vv
461 reference(s)
3-An2000.01.Fra
361 reference(s)		 4-GoldenTriangle.01.Fra
318 reference(s)
5-Stereogrammes_AutoStereogrammes.01
302 reference(s)		 6-AQuoiServentLesMathematiques.01
286 reference(s)
7-Fractal.01
284 reference(s)		 8-FaireDeLaRecherche.01.vv
264 reference(s)
9-help.
261 reference(s)		 10-FloatingPointNumbers.01.Fra
256 reference(s)
11-RealNumbers.01.Fra
241 reference(s)		 12-AVirtualSpaceTimeTravelMachine.Ang
240 reference(s)
13-Galerie_NumberTheory.FV
236 reference(s)		 14-Galerie_DeterministicFractalGeometry.FV
230 reference(s)
15-AVirtualSpaceTimeTravelMachine.Fra
224 reference(s)		 16-NDimensionalDeterministicFractalSets.01.Fra
222 reference(s)
17-MathematiquesPhysiqueFractales.22
222 reference(s)		 18-MathematiquesPhysiqueFractales.02
220 reference(s)
19-Galerie_GeneralitiesVisualization.FV
212 reference(s)		 20-mail.01.vv
211 reference(s)
21-Vcatalogue.11
207 reference(s)		 22-Galerie_NewPictures.FV
207 reference(s)
23-AProposSite.01.Fra
204 reference(s)		 24-SurfaceProjector.01.Ang
203 reference(s)
25-SurfaceProjector.01.Fra
197 reference(s)		 26-UlamSpiral.01.Fra
193 reference(s)
27-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
193 reference(s)		 28-ExpV_VirE.11
193 reference(s)
29-Galerie_ArtAndScience.FV
192 reference(s)		 30-Galerie_ArtisticCreation.FV
188 reference(s)
31-copyright.01.
186 reference(s)		 32-Galerie_CelestialMechanics.FV
183 reference(s)
33-DieuScience.01.Fra
183 reference(s)		 34-catalogue.11
181 reference(s)
35-MorePages.
181 reference(s)		 36-Galerie_QuantumMechanics.FV
180 reference(s)
37-Fractal.11
180 reference(s)		 38-infinity.01.vv
179 reference(s)
39-subject.01.
178 reference(s)		 40-NDimensionalDeterministicFractalSets.01.Ang
178 reference(s)
41-Fractal.03
178 reference(s)		 42-GenieLogiciel.01.Fra
176 reference(s)
43-NombresEtLumiere.01.vv.Fra
175 reference(s)		 44-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
175 reference(s)
45-Galerie_SignalProcessing.FV
175 reference(s)		 46-Galerie_ParticleSystems.FV
175 reference(s)
47-OrdinateursEtCalculs.01.Fra
174 reference(s)		 48-EntrelacsIntertwinings.01.Ang
174 reference(s)
49-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
174 reference(s)		 50-RemarquesCerveau.01
173 reference(s)
51-GoldenTriangle.01.Ang
171 reference(s)		 52-Galerie_BestOf.FV
171 reference(s)
53-Galerie_Astrophysics.FV
171 reference(s)		 54-FloatingPointNumbers.01.Ang
171 reference(s)
55-Informations_GoodNewsAndBadNews.01.Fra
170 reference(s)		 56-ImagesDuVirtuel.01.Fra.FV
170 reference(s)
57-AnimFractal.01.
170 reference(s)		 58-PerteDeLAssociativite.01
169 reference(s)
59-ImpossibleStructures.01.Fra
168 reference(s)		 60-Galerie_TextureSynthesis.FV
168 reference(s)
61-AvantPropos.01.Fra
167 reference(s)		 62-Galerie_DeterministicChaos.FV
166 reference(s)
63-OrdinateurMathematiquesArt.01.Fra
165 reference(s)		 64-MonodimensionalCellularAutomata.01.Fra
165 reference(s)
65-infinity.02.vv
164 reference(s)		 66-LOG_xiMc.11
164 reference(s)
67-Kepler.02.
164 reference(s)		 68-EntrelacsIntertwinings.01.Fra
164 reference(s)
69-create.03.
163 reference(s)		 70-DuModeleALImage.02.Fra
163 reference(s)
71-Autostereograms.01.
163 reference(s)		 72-UlamSpiral.01.Ang
161 reference(s)
73-MonodimensionalCellularAutomata.01.Ang
161 reference(s)		 74-QuelquesQuestionsSurLaRecherche.01.Fra
160 reference(s)
75-OrdinateursEtCalculs.01.Ang
160 reference(s)		 76-Galerie_SensitivityToRoundingOffErrors.FV
160 reference(s)
77-VirtualChaos.01.Fra
159 reference(s)		 78-NatureDesMathematiques.01.vv.Fra
158 reference(s)
79-VirtualChaos.01.Ang
157 reference(s)		 80-Spheres.01
157 reference(s)
81-EnsembleDesGaleries.DIAPO.0001
157 reference(s)		 82-ImpossibleStructures.01.Ang
156 reference(s)
83-VisitesGaleriesEnfouies.01.Fra
155 reference(s)		 84-ManyChaos.01.Fra
155 reference(s)
85-LesApprentisDieux.01
155 reference(s)		 86-IllusionConnaissance.02
155 reference(s)
87-Galerie_FluidMechanics.FV
155 reference(s)		 88-ExpV_VirE.Ang
155 reference(s)
89-AvantPropos.01.Ang
154 reference(s)		 90-Fractal.02
153 reference(s)
91-MiseEnSceneDesNombres.01.vv.Ang
152 reference(s)		 92-MathematiquesEtCinematographe.01.vv
152 reference(s)
93-EnsembleDesGaleriesFractales.DIAPO.0001
152 reference(s)		 94-PatrimoineHumanite.02.Fra
151 reference(s)
95-MiseEnSceneDesNombres.01.vv.Fra
151 reference(s)		 96-MathematiquesEtRepresentations.01.vv.Ang
151 reference(s)
97-ManyChaos.01.Ang
151 reference(s)		 98-pertedelassociativite.01.add3
150 reference(s)
99-an2000
150 reference(s)		 100-MathematiquesModeleOutilArtiste.02.Ang
150 reference(s)
101-VisitesGaleriesEnfouies.01.Ang
149 reference(s)		 102-Galerie_Tributes.FV
149 reference(s)
103-realnumbers
147 reference(s)		 104-demo
147 reference(s)
105-nombresreels
146 reference(s)		 106-logiciel
146 reference(s)
107-genielogiciel
146 reference(s)		 108-demo14
146 reference(s)
109-VisualisationRelief.01.vv.Fra
145 reference(s)		 110-demo.14
144 reference(s)
111-Informations_AboutPicturesAnimationsAndFiles.01.Ang
142 reference(s)		 112-ExpV_VirE.21
138 reference(s)
113-MathematiquesPhysiqueFractales.01
134 reference(s)		 114-Galerie_ImagesDesMathematiques.FV
123 reference(s)
115-Galerie_NumbersAndLight.FV
121 reference(s)		 116-NombresEtLumiere.02.vv.Ang
113 reference(s)
117-present.01.
112 reference(s)		 118-ExpV_VirE.Fra
112 reference(s)
119-Ariane501.01.Fra
112 reference(s)		 120-An2000.04.Fra
112 reference(s)
121-Informations_AboutPicturesAnimationsAndFiles.01.Fra
110 reference(s)		 122-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
110 reference(s)
123-ArtEtMathematiques.01
108 reference(s)		 124-MOSA.JFC.F1.F2.20031207
107 reference(s)
125-Commentaires_NKleinBottle.01
106 reference(s)		 126-ImagesDuVirtuel.01.Fra
105 reference(s)
127-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
105 reference(s)		 128-ComplexiteStructurelleClassements.11
105 reference(s)

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




Copyright © Jean-François COLONNA, 2016-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2016-2023.