Monthly Best Of on 10/28/2017




Tridimensional fractal structure

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:



Autostereogram with an hidden volcano
1-437 reference(s)
Bidimensional Hilbert Curve -iteration 4-
2-427 reference(s)
Hypercube
3-412 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-351 reference(s)
Erosion of a bidimensional random (with small and large scale correlations)medium
5-314 reference(s)
Happy new year 2000
6-276 reference(s)
The random walk of photons escaping the Sun
7-236 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
8-233 reference(s)
The random walk of photons escaping the Sun
9-209 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
10-205 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
11-186 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
12-176 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
13-168 reference(s)
The Bonan-Jeener's triple Klein bottle
14-142 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
15-140 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
16-123 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
17-100 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
18-99 reference(s)
The Jeener's triple Klein bottle
19-97 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
20-95 reference(s)
Autostereogram with an hidden volcano
21-93 reference(s)
Artistic view of the prime numbers
22-91 reference(s)
The generalized Ulam spiral
23-87 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
24-83 reference(s)
A 'bidimensional epicycloïdal' pseudo-torus
25-79 reference(s)
Autostereogram with an hidden volcano
26-78 reference(s)
Quantum vacuum fluctuations
27-71 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
28-71 reference(s)
Sixteen interlaced fractal torus
29-70 reference(s)
The bidimensional John Conway's life game
30-69 reference(s)
Autostereogram with an hidden volcano
31-66 reference(s)
True colors autostereogram of a fractal landscape
32-62 reference(s)
Tridimensional Hilbert Curve -iteration 3-
33-61 reference(s)
The random walk of photons escaping the Sun
34-60 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
35-58 reference(s)
Fractal natural form
36-56 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
37-56 reference(s)
Autostereogram with an hidden ring and ghost bows
38-52 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
39-51 reference(s)
The Syracuse conjecture for U(0)={1,2,3,4,...,256} -monodimensional display-
40-49 reference(s)
A pseudo-periodical Penrose tiling of the plane
41-48 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
42-48 reference(s)
Fractal natural form
43-46 reference(s)
Quark and gluon structure of a nucleon
44-46 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
45-45 reference(s)
An Archimedes spiral displaying 100000 numbers
46-44 reference(s)
From 'geocentrism' to 'heliocentrism'
47-44 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
48-44 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
49-44 reference(s)
Tridimensional zoom in on the Mandelbrot set
50-43 reference(s)
Bidimensional geometrical texture animation
51-42 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
52-42 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
53-42 reference(s)
Tridimensional texture animation by means of the Generalized Product
54-42 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
55-42 reference(s)
The Menger sponge -iteration 5-
56-42 reference(s)
The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
57-42 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
58-41 reference(s)
Bidimensional texture animation by means of the Generalized Product
59-41 reference(s)
The first four iterations of the construction of the von Koch snowflake
60-40 reference(s)
A punched paper tape
61-40 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
62-40 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
63-40 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
64-40 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-
65-40 reference(s)
From Mars to the Sun
66-40 reference(s)
The Möbius strip
67-40 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
68-40 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
69-40 reference(s)
Autostereogram with an hidden ring and ghost bows
70-39 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
71-38 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
72-37 reference(s)
7-foil torus knot on its torus
73-37 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
74-36 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
75-36 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
76-35 reference(s)
The 64 first lines of the Pascal's Triangle
77-34 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)
78-34 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
79-33 reference(s)
A fractal pseudo-periodical Penrose tiling
80-33 reference(s)
An Archimedes spiral displaying 5000 numbers
81-32 reference(s)
The Universe at the heart of a Calabi-Yau manifold
82-31 reference(s)
An Archimedes spiral displaying 10000 numbers
83-31 reference(s)
Autostereogram of Monument Valley
84-31 reference(s)
A fractal vegetal structure
85-30 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
86-29 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
87-29 reference(s)
Jean-François Colonna
88-29 reference(s)
The Sierpinski carpet -iteration 1-
89-28 reference(s)
Quark and gluon structure of a nucleon
90-28 reference(s)
A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
91-27 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
92-27 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+20.0)x(-15.0,+15.0) (bird's-eye view)
93-26 reference(s)
Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
94-26 reference(s)
The Lorenz attractor
95-26 reference(s)
The Sierpinski carpet -iteration 1-
96-25 reference(s)
The Simpson paradox
97-25 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
98-25 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
99-24 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
100-24 reference(s)
Sunny Monument Valley
101-24 reference(s)
From Pluto to the Sun (non linear scales)
102-24 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
103-24 reference(s)
A tridimensionally distorded pseudo-periodical Penrose tiling of the plane
104-23 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
105-23 reference(s)
A fractal Möbius strip
106-23 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
107-22 reference(s)
Fractal 7-foil torus knot
108-22 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
109-22 reference(s)
Tridimensional display of the Riemann Zeta function inside (+0.1,+0.9)x(0,+50)
110-21 reference(s)
Quantum vacuum fluctuations
111-21 reference(s)
Where is the Multiverse?
112-21 reference(s)
A pseudo-periodical Penrose tiling of the plane
113-21 reference(s)
A pseudo-periodical Penrose tiling of the plane
114-21 reference(s)
A perfect bidimensional fractal tree and the self-similarity
115-21 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
116-21 reference(s)
Monument Valley à la David Hockney
117-21 reference(s)
Monument Valley à la David Hockney
118-21 reference(s)
From Pluto to the Sun -extrapolation 1- (non linear scales)
119-21 reference(s)
A quaternionic Julia set -tridimensional cross-section-
120-21 reference(s)
The Birth of the Universe
121-21 reference(s)
The four first power sets {P(E),P(P(E)),P(P(P(E))),P(P(P(P(E))))} of a one-element set E
122-21 reference(s)
Anaglyph -blue=right, red=left- of a fractal hypercube
123-21 reference(s)
The Sierpinski carpet -iteration 5-
124-20 reference(s)
Pseudo Olympic Rings
125-20 reference(s)
A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
126-20 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
127-20 reference(s)
A tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
128-20 reference(s)




2-The 128 most referenced Pages:



1-demo_14
1195 reference(s)
2-An2000.01.Fra
623 reference(s)
3-ComplexiteStructurelleClassements.11
539 reference(s)
4-Vcatalogue.11
451 reference(s)
5-Galerie_GeneralitiesVisualization.FV
421 reference(s)
6-Galerie_NumberTheory.FV
368 reference(s)
7-help.
363 reference(s)
8-Stereogrammes_AutoStereogrammes.01
358 reference(s)
9-AVirtualSpaceTimeTravelMachine.Ang
338 reference(s)
10-FloatingPointNumbers.01.Fra
303 reference(s)
11-MonodimensionalCellularAutomata.01.Fra
294 reference(s)
12-FloatingPointNumbers.01.Ang
284 reference(s)
13-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
283 reference(s)
14-AVirtualSpaceTimeTravelMachine.Fra
283 reference(s)
15-RealNumbers.01.Fra
282 reference(s)
16-mail.01.vv
281 reference(s)
17-Fractal.01
280 reference(s)
18-MathematiquesPhysiqueFractales.22
274 reference(s)
19-MathematiquesPhysiqueFractales.02
274 reference(s)
20-FaireDeLaRecherche.01.vv
274 reference(s)
21-Galerie_QuantumMechanics.FV
268 reference(s)
22-SurfaceProjector.01.Fra
265 reference(s)
23-SurfaceProjector.01.Ang
264 reference(s)
24-Galerie_ArtisticCreation.FV
263 reference(s)
25-Galerie_DeterministicFractalGeometry.FV
261 reference(s)
26-LOG_xiMc.11
260 reference(s)
27-Galerie_ArtAndScience.FV
257 reference(s)
28-MorePages.
255 reference(s)
29-NDimensionalDeterministicFractalSets.01.Fra
253 reference(s)
30-GenieLogiciel_VisualisationScientifique.01.vv
251 reference(s)
31-GoldenTriangle.01.Fra
249 reference(s)
32-OrdinateursEtCalculs.01.Ang
248 reference(s)
33-AProposSite.01.Fra
244 reference(s)
34-Galerie_BestOf.FV
241 reference(s)
35-GenieLogiciel.01.Fra
239 reference(s)
36-Galerie_NewPictures.FV
239 reference(s)
37-Galerie_ParticleSystems.FV
236 reference(s)
38-Fractal.11
236 reference(s)
39-copyright.01.
233 reference(s)
40-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
233 reference(s)
41-DuModeleALImage.02.Fra
233 reference(s)
42-AnimFractal.01.
228 reference(s)
43-Fractal.03
227 reference(s)
44-ExpV_VirE.11
226 reference(s)
45-EntrelacsIntertwinings.01.Ang
225 reference(s)
46-NDimensionalDeterministicFractalSets.01.Ang
224 reference(s)
47-DieuScience.01.Fra
224 reference(s)
48-UlamSpiral.01.Fra
222 reference(s)
49-Kepler.02.
222 reference(s)
50-NombresEtLumiere.01.vv.Fra
220 reference(s)
51-Galerie_Astrophysics.FV
220 reference(s)
52-Galerie_Tributes.FV
219 reference(s)
53-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
219 reference(s)
54-Autostereograms.01.
215 reference(s)
55-subject.01.
212 reference(s)
56-GoldenTriangle.01.Ang
209 reference(s)
57-EntrelacsIntertwinings.01.Fra
209 reference(s)
58-catalogue.11
208 reference(s)
59-ImpossibleStructures.01.Fra
208 reference(s)
60-IllusionConnaissance.02
208 reference(s)
61-infinity.02.vv
207 reference(s)
62-OrdinateurMathematiquesArt.01.Fra
207 reference(s)
63-ImagesDuVirtuel.01.Fra.FV
206 reference(s)
64-Galerie_FluidMechanics.FV
206 reference(s)
65-Galerie_CelestialMechanics.FV
206 reference(s)
66-FaireDesMathematiques.01.Fra
206 reference(s)
67-MonodimensionalCellularAutomata.01.Ang
205 reference(s)
68-AQuoiServentLesMathematiques.01
204 reference(s)
69-MiseEnSceneDesNombres.01.vv.Ang
203 reference(s)
70-ImpossibleStructures.01.Ang
203 reference(s)
71-Galerie_DeterministicChaos.FV
203 reference(s)
72-Galerie_TextureSynthesis.FV
201 reference(s)
73-infinity.01.vv
200 reference(s)
74-ConjectureDeSyracuse_0256.vv
200 reference(s)
75-OrdinateursEtCalculs.01.Fra
199 reference(s)
76-NombresPremiers_10000.vv
199 reference(s)
77-NatureDesMathematiques.01.vv.Fra
199 reference(s)
78-AvantPropos.01.Fra
199 reference(s)
79-MathematiquesModeleOutilArtiste.02.Ang
198 reference(s)
80-MiseEnSceneDesNombres.01.vv.Fra
197 reference(s)
81-UlamSpiral.01.Ang
196 reference(s)
82-Galerie_SignalProcessing.FV
196 reference(s)
83-ExpV_VirE.Ang
196 reference(s)
84-EnsembleDesGaleries.DIAPO.0001
196 reference(s)
85-create.03.
195 reference(s)
86-Spheres.01
195 reference(s)
87-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
195 reference(s)
88-VisitesGaleriesEnfouies.01.Fra
192 reference(s)
89-ManyChaos.01.Ang
192 reference(s)
90-Fractal.02
192 reference(s)
91-VirtualChaos.01.Ang
191 reference(s)
92-EnsembleDesGaleriesFractales.DIAPO.0001
191 reference(s)
93-RasoirDOccamEtMathematiques.01.vv.Fra
189 reference(s)
94-ManyChaos.01.Fra
189 reference(s)
95-Galerie_SensitivityToRoundingOffErrors.FV
189 reference(s)
96-RasoirDOccamEtMathematiques.01.vv.Ang
188 reference(s)
97-PerteDeLAssociativite.01
187 reference(s)
98-demo.14
185 reference(s)
99-demo
185 reference(s)
100-VirtualChaos.01.Fra
185 reference(s)
101-AvantPropos.01.Ang
185 reference(s)
102-present.01.
184 reference(s)
103-VisitesGaleriesEnfouies.01.Ang
184 reference(s)
104-nombresreels
183 reference(s)
105-demo14
183 reference(s)
106-QuelquesQuestionsSurLaRecherche.01.Fra
183 reference(s)
107-PerteDeLaDistributivite.01.DIS2
183 reference(s)
108-LesApprentisDieux.01
183 reference(s)
109-logiciel
182 reference(s)
110-VisualisationRelief.01.vv.Fra
182 reference(s)
111-MathematiquesEtRepresentations.01.vv.Ang
182 reference(s)
112-realnumbers
180 reference(s)
113-MathematiquesLangageDuGrandLivreDeLaNature.12
178 reference(s)
114-an2000
177 reference(s)
115-genielogiciel
176 reference(s)
116-RemarquesCerveau.01
176 reference(s)
117-Commentaires_NKleinBottle.01
175 reference(s)
118-MathematiquesEtCinematographe.01.vv
174 reference(s)
119-PatrimoineHumanite.02.Fra
172 reference(s)
120-Informations_GoodNewsAndBadNews.01.Fra
172 reference(s)
121-Informations_AboutPicturesAnimationsAndFiles.01.Ang
163 reference(s)
122-ImagesDuVirtuel.01.Fra
161 reference(s)
123-ArtEtMathematiques.01
157 reference(s)
124-An2000.02.Fra
153 reference(s)
125-ExpV_VirE.21
150 reference(s)
126-Galerie_ImagesDesMathematiques.FV
145 reference(s)
127-demo_14.FV
143 reference(s)
128-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
140 reference(s)

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Copyright (c) Jean-François Colonna, 2017-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2017-2018.