Monthly Best Of on 12/28/2015




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 12/28/2015 and last updated on 11/14/2023 17:48:54 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Hypercube
1-785 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-593 reference(s)		 The random walk of photons escaping the Sun
3-380 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
4-351 reference(s)
Happy new year 2000
5-266 reference(s)		 Autostereogram with an hidden volcano
6-253 reference(s)		 Tridimensional Hilbert Curve -iteration 3-
7-220 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
8-210 reference(s)
Bidimensional Hilbert Curve -iteration 4-
9-188 reference(s)		 Sixteen interlaced torus
10-180 reference(s)		 Autostereogram with an hidden volcano
11-172 reference(s)		 True colors autostereogram of a fractal landscape
12-171 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
13-165 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
14-165 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
15-162 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
16-156 reference(s)
The Bonan-Jeener-Klein triple bottle
17-155 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
18-155 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
19-137 reference(s)		 The Jeener-Klein triple bottle
20-109 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
21-108 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
22-103 reference(s)		 Fractal natural form
23-98 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
24-97 reference(s)
The random walk of photons escaping the Sun
25-93 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
26-89 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
27-84 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
28-83 reference(s)
Autostereogram with an hidden volcano
29-79 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
30-79 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
31-78 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
32-67 reference(s)
Quantum vacuum fluctuations
33-64 reference(s)		 An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
34-60 reference(s)		 Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
35-60 reference(s)		 Autostereogram with an hidden ring and ghost bows
36-59 reference(s)
A fractal hypercube
37-59 reference(s)		 Autostereogram with an hidden volcano
38-58 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
39-58 reference(s)		 2000 evenly distributed points on a sphere by means of the Fibonacci spiral
40-56 reference(s)
An aperiodic Penrose tiling of the Golden Decagon
41-55 reference(s)		 The generalized Ulam spiral
42-53 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
43-53 reference(s)		 Artistic view of the prime numbers
44-53 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
45-52 reference(s)		 The bidimensional John Conway's life game
46-51 reference(s)		 A Peano 'fractal plane' defined by means of three bidimensional fields
47-48 reference(s)		 Sixteen interlaced fractal torus
48-47 reference(s)
From the infinitely small to the infinitely big
49-47 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
50-46 reference(s)		 Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
51-44 reference(s)		 Quark and gluon structure of a nucleon
52-44 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
53-44 reference(s)		 Tridimensional view of the first four iterations of the construction of the von Koch snowflake
54-43 reference(s)		 The random walk of photons escaping the Sun
55-43 reference(s)		 Bidimensional geometrical texture animation
56-42 reference(s)
Autostereogram with an hidden volcano
57-42 reference(s)		 Tridimensional zoom in on the Mandelbrot set
58-42 reference(s)		 The Möbius strip
59-41 reference(s)		 Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
60-41 reference(s)
Heterogeneous -tridimensional gaussian field- random non linear meshing of a cube
61-41 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
62-40 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-
63-40 reference(s)		 From Mars to the Sun
64-40 reference(s)
The first four iterations of the construction of the von Koch snowflake
65-39 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
66-39 reference(s)		 The 1.000 first digits -base 10- of 'pi' displayed on an helix -good point of view-
67-39 reference(s)		 A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
68-38 reference(s)
Bidimensional texture animation by means of the Generalized Product
69-38 reference(s)		 Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
70-37 reference(s)		 Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
71-37 reference(s)		 Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
72-37 reference(s)
Tridimensional texture animation by means of the Generalized Product
73-37 reference(s)		 An aperiodic Penrose tiling of the plane
74-36 reference(s)		 Portrait (Lena)-with a 'OY' symmetry-
75-36 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
76-36 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)
77-35 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
78-35 reference(s)		 The Mathematics are the key of the Multiverse
79-34 reference(s)		 Fractal natural form
80-34 reference(s)
Autostereogram of Monument Valley
81-34 reference(s)		 Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
82-32 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
83-32 reference(s)		 Rotation about the Y (vertical)axis of the CMAP logo that can also be viewed as a set of 4x3 stereograms
84-31 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
85-30 reference(s)		 Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
86-30 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
87-30 reference(s)		 Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
88-28 reference(s)
Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
89-27 reference(s)		 The Klein bottle
90-27 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
91-27 reference(s)		 Artistic view of the Big Bang
92-26 reference(s)
Bidimensional zoom in on the Mandelbrot set
93-26 reference(s)		 Tridimensional Hilbert Curve -iterations 1 to 3-
94-26 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
95-26 reference(s)		 The tree of life -a Tribute to the victims of the attacks in November 2015, Paris-
96-25 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
97-25 reference(s)		 From Pluto to the Sun (non linear scales)
98-25 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
99-23 reference(s)		 The Scream -a Tribute to Edvard Munch-
100-23 reference(s)
From 'geocentrism' to 'heliocentrism'
101-23 reference(s)		 The Lorenz attractor
102-23 reference(s)		 The Mathematics are the key of the Multiverse
103-22 reference(s)		 Animation of a natural form
104-22 reference(s)
Quark and gluon structure of a nucleon
105-22 reference(s)		 From Pluto to the Sun -extrapolation 2-
106-22 reference(s)		 A set of 4x3 stereograms of a fractal hypercube
107-22 reference(s)		 An Archimedes spiral displaying 5000 numbers
108-21 reference(s)
Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
109-21 reference(s)		 The actual Solar System viewed during 243 years from a dark blue virtual planet -this last one approximately belongs to the plane of Pluto and its distance from the Sun equals the one of Uranus-
110-21 reference(s)		 The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
111-21 reference(s)		 Rotation about the X axis of the Lorenz attractor
112-21 reference(s)
The relief -modulus- of the function exp(1/z)with argument mapping
113-21 reference(s)		 Where is the Multiverse?
114-20 reference(s)		 Along the border of the Mandelbrot set
115-20 reference(s)		 A punched paper tape
116-20 reference(s)
Pseudo Olympic Rings
117-20 reference(s)		 The extended Borromean Rings
118-20 reference(s)		 The Klein bottle in motion
119-20 reference(s)		 The 1.000 first digits -base 10- of 'pi' displayed on an helix -bad point of view-
120-20 reference(s)
Monument Valley à la David Hockney
121-20 reference(s)		 Anaglyph -blue=right, red=left- of a fractal hypercube
122-20 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
123-20 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
124-20 reference(s)
Tridimensional visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
125-19 reference(s)		 Tridimensional fractal structure -the space-time foam?-
126-19 reference(s)		 Rotation about the Y (vertical)axis of the Jeener-Klein triple bottle that can also be viewed as a set of 4x3 stereograms
127-19 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
128-18 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
631 reference(s)		 2-Stereogrammes_AutoStereogrammes.01
419 reference(s)
3-An2000.01.Fra
383 reference(s)		 4-FloatingPointNumbers.01.Fra
354 reference(s)
5-Fractal.01
318 reference(s)		 6-help.
291 reference(s)
7-FaireDeLaRecherche.01.vv
274 reference(s)		 8-RealNumbers.01.Fra
261 reference(s)
9-mail.01.vv
254 reference(s)		 10-AVirtualSpaceTimeTravelMachine.Ang
247 reference(s)
11-Galerie_NumberTheory.FV
244 reference(s)		 12-Vcatalogue.11
243 reference(s)
13-MathematiquesPhysiqueFractales.02
232 reference(s)		 14-AVirtualSpaceTimeTravelMachine.Fra
232 reference(s)
15-Galerie_DeterministicFractalGeometry.FV
229 reference(s)		 16-Galerie_NewPictures.FV
227 reference(s)
17-Galerie_GeneralitiesVisualization.FV
226 reference(s)		 18-Galerie_ArtAndScience.FV
222 reference(s)
19-AProposSite.01.Fra
216 reference(s)		 20-NDimensionalDeterministicFractalSets.01.Fra
212 reference(s)
21-copyright.01.
206 reference(s)		 22-UlamSpiral.01.Fra
203 reference(s)
23-SurfaceProjector.01.Fra
203 reference(s)		 24-ExpV_VirE.11
203 reference(s)
25-MathematiquesPhysiqueFractales.22
200 reference(s)		 26-Galerie_ArtisticCreation.FV
199 reference(s)
27-Galerie_SignalProcessing.FV
198 reference(s)		 28-SurfaceProjector.01.Ang
196 reference(s)
29-OrdinateursEtCalculs.01.Fra
194 reference(s)		 30-MorePages.
194 reference(s)
31-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
194 reference(s)		 32-AnimFractal.01.
194 reference(s)
33-NombresEtLumiere.01.vv.Fra
191 reference(s)		 34-NDimensionalDeterministicFractalSets.01.Ang
191 reference(s)
35-GoldenTriangle.01.Fra
190 reference(s)		 36-DieuScience.01.Fra
190 reference(s)
37-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
190 reference(s)		 38-MonodimensionalCellularAutomata.01.Fra
187 reference(s)
39-LesApprentisDieux.01
185 reference(s)		 40-Fractal.11
185 reference(s)
41-EntrelacsIntertwinings.01.Fra
185 reference(s)		 42-NatureDesMathematiques.01.vv.Fra
184 reference(s)
43-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
184 reference(s)		 44-Galerie_QuantumMechanics.FV
184 reference(s)
45-Galerie_BestOf.FV
184 reference(s)		 46-LOG_xiMc.11
182 reference(s)
47-RemarquesCerveau.01
180 reference(s)		 48-GenieLogiciel.01.Fra
180 reference(s)
49-subject.01.
179 reference(s)		 50-MathematiquesModeleOutilArtiste.02.Ang
179 reference(s)
51-FloatingPointNumbers.01.Ang
179 reference(s)		 52-Kepler.02.
178 reference(s)
53-ImagesDuVirtuel.01.Fra.FV
177 reference(s)		 54-ExpV_VirE.21
176 reference(s)
55-IllusionConnaissance.02
175 reference(s)		 56-Galerie_ParticleSystems.FV
175 reference(s)
57-Fractal.03
175 reference(s)		 58-EntrelacsIntertwinings.01.Ang
175 reference(s)
59-AQuoiServentLesMathematiques.01
175 reference(s)		 60-catalogue.11
173 reference(s)
61-ImpossibleStructures.01.Fra
173 reference(s)		 62-Galerie_CelestialMechanics.FV
172 reference(s)
63-Spheres.01
171 reference(s)		 64-Informations_GoodNewsAndBadNews.01.Fra
171 reference(s)
65-Galerie_DeterministicChaos.FV
171 reference(s)		 66-Autostereograms.01.
171 reference(s)
67-MonodimensionalCellularAutomata.01.Ang
170 reference(s)		 68-create.03.
169 reference(s)
69-ImpossibleStructures.01.Ang
169 reference(s)		 70-Galerie_TextureSynthesis.FV
169 reference(s)
71-MathematiquesEtCinematographe.01.vv
168 reference(s)		 72-Galerie_FluidMechanics.FV
168 reference(s)
73-Galerie_Astrophysics.FV
168 reference(s)		 74-VisitesGaleriesEnfouies.01.Fra
167 reference(s)
75-infinity.01.vv
166 reference(s)		 76-ManyChaos.01.Fra
166 reference(s)
77-GoldenTriangle.01.Ang
166 reference(s)		 78-ExpV_VirE.Ang
166 reference(s)
79-VirtualChaos.01.Ang
165 reference(s)		 80-AvantPropos.01.Fra
165 reference(s)
81-UlamSpiral.01.Ang
164 reference(s)		 82-PerteDeLAssociativite.01
164 reference(s)
83-OrdinateursEtCalculs.01.Ang
164 reference(s)		 84-GenieLogiciel_VisualisationScientifique.01.vv
164 reference(s)
85-PatrimoineHumanite.02.Fra
163 reference(s)		 86-realnumbers
162 reference(s)
87-logiciel
162 reference(s)		 88-genielogiciel
162 reference(s)
89-nombresreels
161 reference(s)		 90-OrdinateurMathematiquesArt.01.Fra
161 reference(s)
91-ManyChaos.01.Ang
161 reference(s)		 92-infinity.02.vv
160 reference(s)
93-demo14
160 reference(s)		 94-demo
160 reference(s)
95-demo.14
159 reference(s)		 96-Galerie_Tributes.FV
159 reference(s)
97-Galerie_SensitivityToRoundingOffErrors.FV
159 reference(s)		 98-EnsembleDesGaleriesFractales.DIAPO.0001
159 reference(s)
99-DuModeleALImage.02.Fra
159 reference(s)		 100-QuelquesQuestionsSurLaRecherche.01.Fra
158 reference(s)
101-an2000
157 reference(s)		 102-VisitesGaleriesEnfouies.01.Ang
157 reference(s)
103-VirtualChaos.01.Fra
157 reference(s)		 104-MathematiquesEtRepresentations.01.vv.Ang
156 reference(s)
105-MiseEnSceneDesNombres.01.vv.Fra
155 reference(s)		 106-Fractal.02
155 reference(s)
107-AvantPropos.01.Ang
153 reference(s)		 108-EnsembleDesGaleries.DIAPO.0001
152 reference(s)
109-MiseEnSceneDesNombres.01.vv.Ang
151 reference(s)		 110-Informations_AboutPicturesAnimationsAndFiles.01.Ang
145 reference(s)
111-VisualisationRelief.01.vv.Fra
143 reference(s)		 112-Galerie_ImagesDesMathematiques.FV
134 reference(s)
113-MathematiquesPhysiqueFractales.01
131 reference(s)		 114-Informations_AboutPicturesAnimationsAndFiles.01.Fra
125 reference(s)
115-present.01.
120 reference(s)		 116-demo_14.FV
120 reference(s)
117-ExpV_VirE.Fra
118 reference(s)		 118-Galerie_NumbersAndLight.FV
117 reference(s)
119-ImagesDuVirtuel.01.Fra
116 reference(s)		 120-Commentaires_NKleinBottle.01
113 reference(s)
121-An2000.04.Fra
113 reference(s)		 122-MOSA.JFC.F1.F2.20031207
111 reference(s)
123-ArtOrdinateur.01
111 reference(s)		 124-ArtEtMathematiques.01
111 reference(s)
125-NombresEtLumiere.02.vv.Ang
110 reference(s)		 126-VisSci_SciVis.01
109 reference(s)
127-ExpV_VirE.01.Fra
109 reference(s)		 128-ArtScience.01
109 reference(s)

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




Copyright © Jean-François COLONNA, 2015-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2015-2023.