Monthly Best Of on 09/28/2015




A fractal surface (seven iterations)defined by means of three bidimensional fields

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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Contents of this page:


1-The 128 most referenced Pictures:



Bidimensional Hilbert Curve -iteration 4-
1-1482 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-798 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
3-642 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
4-574 reference(s)
Tridimensional Hilbert Curve -iteration 3-
5-413 reference(s)
Hypercube
6-394 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
7-382 reference(s)
The random walk of photons escaping the Sun
8-381 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
9-251 reference(s)
Sixteen interlaced torus
10-243 reference(s)
The random walk of photons escaping the Sun
11-229 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
12-177 reference(s)
Autostereogram with an hidden volcano
13-169 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
14-168 reference(s)
Happy new year 2000
15-166 reference(s)
The Jeener's triple Klein bottle
16-144 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
17-142 reference(s)
Autostereogram with an hidden volcano
18-140 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
19-108 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
20-102 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
21-96 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
22-93 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
23-91 reference(s)
A set of 4x3 stereograms of a fractal hypercube
24-89 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
25-87 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
26-87 reference(s)
Paradoxal Monument Valley at sunset
27-86 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
28-86 reference(s)
The Bonan-Jeener's triple Klein bottle
29-79 reference(s)
The random walk of photons escaping the Sun
30-78 reference(s)
Quantum vacuum fluctuations
31-75 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
32-69 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
33-68 reference(s)
Autostereogram with an hidden volcano
34-65 reference(s)
The bidimensional John Conway's life game
35-63 reference(s)
The generalized Ulam spiral
36-62 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
37-62 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
38-61 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
39-61 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
40-59 reference(s)
Artistic view of the prime numbers
41-58 reference(s)
Sixteen interlaced fractal torus
42-56 reference(s)
From Pluto to the Sun (non linear scales)
43-53 reference(s)
Fractal natural form
44-52 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
45-52 reference(s)
Quark and gluon structure of a nucleon
46-51 reference(s)
True colors autostereogram of a fractal landscape
47-50 reference(s)
Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
48-47 reference(s)
Pseudo Olympic Rings
49-46 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
50-46 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
51-46 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
52-45 reference(s)
The Scream -a Tribute to Edvard Munch-
53-45 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
54-45 reference(s)
A fractal hypercube
55-45 reference(s)
Autostereogram with an hidden volcano
56-44 reference(s)
Autostereogram with an hidden ring and ghost bows
57-43 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
58-43 reference(s)
From Mars to the Sun
59-43 reference(s)
Tridimensional zoom in on the Mandelbrot set
60-43 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)
61-42 reference(s)
The Möbius strip
62-42 reference(s)
Tridimensional texture animation by means of the Generalized Product
63-41 reference(s)
From the infinitely small to the infinitely big
64-41 reference(s)
No Title 0237
65-41 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
66-40 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-
67-40 reference(s)
Autostereogram with an hidden volcano
68-39 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
69-39 reference(s)
Bidimensional texture animation by means of the Generalized Product
70-39 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
71-39 reference(s)
Bidimensional geometrical texture animation
72-38 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
73-38 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
74-38 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
75-38 reference(s)
Autostereogram of Monument Valley
76-38 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
77-38 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
78-37 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
79-36 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
80-36 reference(s)
A pseudo-periodical Penrose tiling of the plane
81-35 reference(s)
Quark and gluon structure of a nucleon
82-35 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
83-34 reference(s)
A quaternionic Julia set -tridimensional cross-section-
84-33 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
85-32 reference(s)
From 'geocentrism' to 'heliocentrism'
86-32 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
87-32 reference(s)
Fractal natural form
88-31 reference(s)
A 'crumpled' cylinder defined by means of three bidimensional fields
89-31 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-
90-30 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
91-30 reference(s)
A pseudo-periodical Penrose tiling of the plane
92-29 reference(s)
Heterogeneous -tridimensional anti-gaussian field- random meshing of a cube
93-29 reference(s)
The Klein bottle
94-29 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
95-28 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
96-28 reference(s)
A pay slip
97-27 reference(s)
Monument Valley à la David Hockney
98-27 reference(s)
The Lorenz attractor
99-27 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
100-26 reference(s)
Bidimensional zoom in on the Mandelbrot set
101-26 reference(s)
Sunny Monument Valley
102-25 reference(s)
Tridimensional display of the inflationary Universe
103-25 reference(s)
A shell (Jeener surface 1)in motion
104-25 reference(s)
The tower -a tribute to Vladimir Tatline-
105-25 reference(s)
Quantum vacuum fluctuations
106-24 reference(s)
Artistic view of the Big Bang
107-24 reference(s)
Artistic view of the Schaeffer bijection
108-24 reference(s)
N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation
109-24 reference(s)
A tribute to Sandro Botticelli
110-24 reference(s)
The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
111-23 reference(s)
Heterogeneous -tridimensional fractal field- random meshing of a cube
112-23 reference(s)
Monument Valley à la David Hockney
113-22 reference(s)
Synthesis of bidimensional geometrical textures
114-22 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
115-22 reference(s)
Ile de Science -a tribute to Pierre Vasseur-
116-22 reference(s)
Generation of the 63x63 first Conway's surreal complex numbers
117-21 reference(s)
An Archimedes spiral displaying 5000 numbers
118-21 reference(s)
An Archimedes spiral displaying 10000 numbers
119-21 reference(s)
N-body problem integration (N=10)displaying the actual Solar System
120-21 reference(s)
Random quadrangulation of the volume of a sphere -18x18x18-
121-21 reference(s)
The Lorenz attractor
122-21 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
123-21 reference(s)
Electron-positron scattering
124-21 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
125-21 reference(s)
Heterogeneous -tridimensional gaussian field- random meshing of a cube
126-21 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
127-21 reference(s)
The Jeener's triple Klein bottle
128-21 reference(s)




2-The 128 most referenced Pages:



1-demo_14
660 reference(s)
2-Vcatalogue.11
460 reference(s)
3-An2000.01.Fra
382 reference(s)
4-FloatingPointNumbers.01.Fra
334 reference(s)
5-GenieLogiciel_VisualisationScientifique.01.vv
301 reference(s)
6-Stereogrammes_AutoStereogrammes.01
290 reference(s)
7-Galerie_NumberTheory.FV
260 reference(s)
8-help.
257 reference(s)
9-Fractal.01
244 reference(s)
10-MathematiquesPhysiqueFractales.02
242 reference(s)
11-RealNumbers.01.Fra
238 reference(s)
12-AVirtualSpaceTimeTravelMachine.Ang
238 reference(s)
13-FaireDeLaRecherche.01.vv
229 reference(s)
14-Galerie_DeterministicFractalGeometry.FV
227 reference(s)
15-Galerie_ArtAndScience.FV
220 reference(s)
16-Galerie_GeneralitiesVisualization.FV
212 reference(s)
17-Galerie_QuantumMechanics.FV
205 reference(s)
18-AVirtualSpaceTimeTravelMachine.Fra
204 reference(s)
19-AProposSite.01.Fra
204 reference(s)
20-Galerie_Astrophysics.FV
202 reference(s)
21-SurfaceProjector.01.Ang
200 reference(s)
22-NDimensionalDeterministicFractalSets.01.Fra
199 reference(s)
23-MorePages.
196 reference(s)
24-Informations_GoodNewsAndBadNews.01.Fra
196 reference(s)
25-AQuoiServentLesMathematiques.01
195 reference(s)
26-MathematiquesPhysiqueFractales.22
194 reference(s)
27-ExpV_VirE.11
193 reference(s)
28-mail.01.vv
189 reference(s)
29-UlamSpiral.01.Fra
189 reference(s)
30-ImagesDuVirtuel.01.Fra.FV
189 reference(s)
31-Galerie_CelestialMechanics.FV
189 reference(s)
32-AnimFractal.01.
188 reference(s)
33-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
186 reference(s)
34-Galerie_NewPictures.FV
186 reference(s)
35-Galerie_ArtisticCreation.FV
186 reference(s)
36-SurfaceProjector.01.Fra
185 reference(s)
37-GoldenTriangle.01.Fra
185 reference(s)
38-GoldenTriangle.01.Ang
185 reference(s)
39-DieuScience.01.Fra
184 reference(s)
40-OrdinateursEtCalculs.01.Fra
183 reference(s)
41-MonodimensionalCellularAutomata.01.Fra
183 reference(s)
42-ExpV_VirE.Ang
183 reference(s)
43-catalogue.11
182 reference(s)
44-Galerie_BestOf.FV
182 reference(s)
45-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
182 reference(s)
46-subject.01.
179 reference(s)
47-Kepler.02.
178 reference(s)
48-GenieLogiciel.01.Fra
178 reference(s)
49-EntrelacsIntertwinings.01.Ang
178 reference(s)
50-copyright.01.
174 reference(s)
51-MonodimensionalCellularAutomata.01.Ang
174 reference(s)
52-LOG_xiMc.11
174 reference(s)
53-Autostereograms.01.
174 reference(s)
54-NDimensionalDeterministicFractalSets.01.Ang
173 reference(s)
55-Fractal.11
172 reference(s)
56-EntrelacsIntertwinings.01.Fra
172 reference(s)
57-Galerie_DeterministicChaos.FV
171 reference(s)
58-Fractal.03
171 reference(s)
59-FloatingPointNumbers.01.Ang
170 reference(s)
60-EnsembleDesGaleries.DIAPO.0001
169 reference(s)
61-NombresEtLumiere.01.vv.Fra
168 reference(s)
62-UlamSpiral.01.Ang
167 reference(s)
63-EnsembleDesGaleriesFractales.DIAPO.0001
167 reference(s)
64-OrdinateurMathematiquesArt.01.Fra
166 reference(s)
65-Fractal.02
166 reference(s)
66-Galerie_ParticleSystems.FV
165 reference(s)
67-infinity.02.vv
164 reference(s)
68-VisitesGaleriesEnfouies.01.Fra
164 reference(s)
69-VirtualChaos.01.Ang
164 reference(s)
70-ImpossibleStructures.01.Ang
164 reference(s)
71-IllusionConnaissance.02
164 reference(s)
72-DuModeleALImage.02.Fra
164 reference(s)
73-Galerie_SensitivityToRoundingOffErrors.FV
163 reference(s)
74-infinity.01.vv
162 reference(s)
75-OrdinateursEtCalculs.01.Ang
162 reference(s)
76-MathematiquesModeleOutilArtiste.02.Ang
162 reference(s)
77-ImpossibleStructures.01.Fra
162 reference(s)
78-create.03.
160 reference(s)
79-NatureDesMathematiques.01.vv.Fra
160 reference(s)
80-Spheres.01
159 reference(s)
81-RemarquesCerveau.01
159 reference(s)
82-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
159 reference(s)
83-Galerie_TextureSynthesis.FV
159 reference(s)
84-Galerie_SignalProcessing.FV
159 reference(s)
85-MiseEnSceneDesNombres.01.vv.Ang
158 reference(s)
86-Galerie_Tributes.FV
158 reference(s)
87-AvantPropos.01.Fra
158 reference(s)
88-AvantPropos.01.Ang
158 reference(s)
89-VisitesGaleriesEnfouies.01.Ang
157 reference(s)
90-VirtualChaos.01.Fra
155 reference(s)
91-LesApprentisDieux.01
155 reference(s)
92-Galerie_FluidMechanics.FV
155 reference(s)
93-PerteDeLAssociativite.01
154 reference(s)
94-demo
153 reference(s)
95-realnumbers
152 reference(s)
96-logiciel
152 reference(s)
97-nombresreels
151 reference(s)
98-genielogiciel
151 reference(s)
99-demo14
151 reference(s)
100-demo.14
151 reference(s)
101-an2000
151 reference(s)
102-MiseEnSceneDesNombres.01.vv.Fra
151 reference(s)
103-ManyChaos.01.Fra
151 reference(s)
104-QuelquesQuestionsSurLaRecherche.01.Fra
150 reference(s)
105-ManyChaos.01.Ang
147 reference(s)
106-PatrimoineHumanite.02.Fra
146 reference(s)
107-MathematiquesEtRepresentations.01.vv.Ang
146 reference(s)
108-MathematiquesEtCinematographe.01.vv
145 reference(s)
109-ExpV_VirE.21
144 reference(s)
110-Informations_AboutPicturesAnimationsAndFiles.01.Ang
134 reference(s)
111-present.01.
129 reference(s)
112-MathematiquesPhysiqueFractales.01
128 reference(s)
113-ImagesDuVirtuel.01.Fra
128 reference(s)
114-HommageBenoitMandelbrot.21
124 reference(s)
115-Galerie_ImagesDesMathematiques.FV
124 reference(s)
116-ArtEtMathematiques.01
123 reference(s)
117-ExpV_VirE.01.Fra
122 reference(s)
118-ArtOrdinateur.01
122 reference(s)
119-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
121 reference(s)
120-EnsembleDesGaleries.DIAPO.0002
120 reference(s)
121-EnsembleDesGaleriesFractales.DIAPO.0141
118 reference(s)
122-ArtScience.11.Fra
118 reference(s)
123-ArtScience.01
118 reference(s)
124-AQuoiServentLesMathematiques.03
118 reference(s)
125-xDarchivesG__SMC__sources__SMC_____SI_G2
117 reference(s)
126-Galerie_NumbersAndLight.FV
117 reference(s)
127-EnsembleDesGaleriesFractales.DIAPO.0140
117 reference(s)
128-DuModeleALImage.01.Fra
117 reference(s)

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Copyright (c) Jean-François Colonna, 2015-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2015-2018.