Monthly Best Of on 12/28/2016




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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(CMAP28 WWW site: this page was created on 12/28/2016 and last updated on 06/30/2018 14:07:36 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Hypercube
1-374 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-331 reference(s)
Happy new year 2000
3-318 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
4-317 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
5-286 reference(s)
Erosion of a bidimensional random (with small and large scale correlations)medium
6-263 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
7-207 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
8-196 reference(s)
Autostereogram with an hidden volcano
9-169 reference(s)
Autostereogram with an hidden volcano
10-169 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
11-158 reference(s)
Bidimensional Hilbert Curve -iteration 4-
12-149 reference(s)
The Bonan-Jeener's triple Klein bottle
13-123 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
14-109 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
15-107 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
16-104 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
17-103 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
18-102 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
19-100 reference(s)
Artistic view of the prime numbers
20-97 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
21-95 reference(s)
The random walk of photons escaping the Sun
22-90 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
23-89 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
24-88 reference(s)
A pseudo-periodical Penrose tiling of the plane
25-76 reference(s)
The first four iterations of the construction of the von Koch snowflake
26-71 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
27-68 reference(s)
Autostereogram with an hidden volcano
28-66 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
29-66 reference(s)
Quantum vacuum fluctuations
30-62 reference(s)
The generalized Ulam spiral
31-60 reference(s)
The bidimensional John Conway's life game
32-57 reference(s)
Wavelet transform of a bidimensional fractal field
33-56 reference(s)
The Jeener's triple Klein bottle
34-54 reference(s)
Autostereogram with an hidden ring and ghost bows
35-53 reference(s)
Fractal natural form
36-52 reference(s)
The Universe at the heart of a Calabi-Yau manifold
37-50 reference(s)
The random walk of photons escaping the Sun
38-50 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
39-49 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
40-48 reference(s)
Autostereogram with an hidden volcano
41-47 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
42-45 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
43-43 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
44-42 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
45-42 reference(s)
Tridimensional display of the Riemann Zeta function inside (+0.1,+0.9)x(0,+50)
46-41 reference(s)
A perfect bidimensional fractal tree and the self-similarity
47-41 reference(s)
Autostereogram with an hidden ring and ghost bows
48-41 reference(s)
The random walk of photons escaping the Sun
49-41 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
50-41 reference(s)
Bidimensional texture animation by means of the Generalized Product
51-40 reference(s)
True colors autostereogram of a fractal landscape
52-40 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-
53-40 reference(s)
From Mars to the Sun
54-40 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
55-39 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
56-39 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
57-39 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
58-39 reference(s)
Tridimensional zoom in on the Mandelbrot set
59-39 reference(s)
Tridimensional display of the inflationary Universe
60-39 reference(s)
Bidimensional geometrical texture animation
61-38 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
62-38 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
63-38 reference(s)
Tridimensional texture animation by means of the Generalized Product
64-38 reference(s)
From 'geocentrism' to 'heliocentrism'
65-38 reference(s)
The Möbius strip
66-38 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
67-38 reference(s)
Sixteen interlaced fractal torus
68-38 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+20.0)x(-15.0,+15.0) (bird's-eye view)
69-37 reference(s)
The first four iterations of the construction of the von Koch snowflake
70-35 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
71-35 reference(s)
Tridimensional accumulation of 512 correlated bidimensional brownian motions -50000 time steps-
72-35 reference(s)
Tridimensional Hilbert Curve -iteration 3-
73-34 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
74-34 reference(s)
Sixteen interlaced torus
75-33 reference(s)
Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
76-32 reference(s)
N-body problem integration (N=10)displaying the actual Solar System
77-29 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
78-28 reference(s)
An Archimedes spiral displaying 10000 numbers
79-28 reference(s)
Quark and gluon structure of a nucleon
80-28 reference(s)
The Klein bottle
81-28 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
82-27 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
83-27 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
84-27 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
85-27 reference(s)
Tridimensional display of two intricated random labyrinths -the wide one and the narrow one-
86-26 reference(s)
Fractal natural form
87-25 reference(s)
A two-hole pseudo-torus
88-25 reference(s)
Autostereogram of Monument Valley
89-24 reference(s)
A fractal hypercube
90-23 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
91-22 reference(s)
Quark and gluon structure of a nucleon
92-22 reference(s)
Generation of the 63 first Conway's surreal numbers
93-21 reference(s)
An Archimedes spiral displaying 5000 numbers
94-21 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
95-21 reference(s)
The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
96-21 reference(s)
The Lorenz attractor
97-21 reference(s)
Jean-François Colonna
98-21 reference(s)
Pseudo Olympic Rings
99-20 reference(s)
Bidimensional zoom in on the Mandelbrot set
100-20 reference(s)
Two intricated random labyrinths -the wide one and the narrow one-
101-20 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
102-20 reference(s)
Quantum vacuum fluctuations
103-19 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
104-19 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
105-19 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
106-19 reference(s)
Tridimensional accumulation of 512 correlated bidimensional brownian motions -1000 time steps-
107-19 reference(s)
Autostereogram with an hidden volcano
108-18 reference(s)
Fractal piano keyboard
109-18 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
110-18 reference(s)
The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
111-18 reference(s)
A 'bidimensional epicycloïdal' pseudo-torus
112-18 reference(s)
The 64 first lines of the Pascal's Triangle
113-17 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
114-17 reference(s)
A punched paper tape
115-17 reference(s)
The Solar System with a dark blue virtual planet -heliocentric point of view-
116-17 reference(s)
A 'bidimensional epicycloïdal' pseudo-torus
117-17 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0)
118-16 reference(s)
Artistic view of the Big Bang
119-16 reference(s)
The Boy surface
120-16 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Sun point of view-
121-16 reference(s)
The Lorenz attractor
122-16 reference(s)
Tridimensional fractal structure -the space-time foam?-
123-16 reference(s)
A pay slip
124-15 reference(s)
The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
125-15 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
126-15 reference(s)
Fractal 7-foil torus knot
127-15 reference(s)
No Title 0253
128-15 reference(s)




2-The 128 most referenced Pages:



1-demo_14
740 reference(s)
2-AVirtualSpaceTimeTravelMachine.Ang
712 reference(s)
3-An2000.01.Fra
486 reference(s)
4-Stereogrammes_AutoStereogrammes.01
458 reference(s)
5-help.
434 reference(s)
6-Vcatalogue.11
368 reference(s)
7-mail.01.vv
350 reference(s)
8-GenieLogiciel_VisualisationScientifique.01.vv
322 reference(s)
9-Galerie_NumberTheory.FV
313 reference(s)
10-Galerie_DeterministicFractalGeometry.FV
297 reference(s)
11-AVirtualSpaceTimeTravelMachine.Fra
292 reference(s)
12-Fractal.01
271 reference(s)
13-AProposSite.01.Fra
271 reference(s)
14-FloatingPointNumbers.01.Fra
268 reference(s)
15-Galerie_GeneralitiesVisualization.FV
262 reference(s)
16-MathematiquesPhysiqueFractales.02
258 reference(s)
17-RealNumbers.01.Fra
246 reference(s)
18-FaireDeLaRecherche.01.vv
245 reference(s)
19-GoldenTriangle.01.Fra
236 reference(s)
20-FloatingPointNumbers.01.Ang
229 reference(s)
21-copyright.01.
226 reference(s)
22-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
222 reference(s)
23-UlamSpiral.01.Fra
219 reference(s)
24-Galerie_BestOf.FV
213 reference(s)
25-SurfaceProjector.01.Fra
212 reference(s)
26-Galerie_ParticleSystems.FV
212 reference(s)
27-AnimFractal.01.
212 reference(s)
28-Galerie_NewPictures.FV
211 reference(s)
29-Galerie_ArtisticCreation.FV
210 reference(s)
30-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
207 reference(s)
31-SurfaceProjector.01.Ang
206 reference(s)
32-Galerie_CelestialMechanics.FV
206 reference(s)
33-Galerie_ArtAndScience.FV
205 reference(s)
34-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
205 reference(s)
35-MathematiquesPhysiqueFractales.22
202 reference(s)
36-Galerie_QuantumMechanics.FV
202 reference(s)
37-NDimensionalDeterministicFractalSets.01.Ang
201 reference(s)
38-Fractal.11
200 reference(s)
39-FaireDesMathematiques.01.Fra
195 reference(s)
40-OrdinateursEtCalculs.01.Fra
194 reference(s)
41-GenieLogiciel.01.Fra
193 reference(s)
42-ExpV_VirE.11
192 reference(s)
43-ComplexiteStructurelleClassements.11
192 reference(s)
44-NDimensionalDeterministicFractalSets.01.Fra
191 reference(s)
45-stereogrammes_autostereogrammes.01
190 reference(s)
46-Galerie_SignalProcessing.FV
187 reference(s)
47-catalogue.11
186 reference(s)
48-EntrelacsIntertwinings.01.Ang
184 reference(s)
49-EntrelacsIntertwinings.01.Fra
183 reference(s)
50-Autostereograms.01.
183 reference(s)
51-LOG_xiMc.11
182 reference(s)
52-Galerie_Astrophysics.FV
182 reference(s)
53-Kepler.02.
180 reference(s)
54-PerteDeLAssociativite.01
179 reference(s)
55-LesApprentisDieux.01
179 reference(s)
56-MonodimensionalCellularAutomata.01.Fra
178 reference(s)
57-ImagesDuVirtuel.01.Fra.FV
178 reference(s)
58-PatrimoineHumanite.02.Fra
177 reference(s)
59-OrdinateurMathematiquesArt.01.Fra
177 reference(s)
60-MathematiquesEtCinematographe.01.vv
177 reference(s)
61-Galerie_DeterministicChaos.FV
177 reference(s)
62-subject.01.
176 reference(s)
63-RemarquesCerveau.01
175 reference(s)
64-NombresEtLumiere.01.vv.Fra
175 reference(s)
65-create.03.
174 reference(s)
66-Galerie_TextureSynthesis.FV
172 reference(s)
67-Galerie_FluidMechanics.FV
172 reference(s)
68-MorePages.
171 reference(s)
69-VisitesGaleriesEnfouies.01.Ang
170 reference(s)
70-IllusionConnaissance.02
170 reference(s)
71-DuModeleALImage.02.Fra
170 reference(s)
72-AQuoiServentLesMathematiques.01
170 reference(s)
73-MathematiquesLangageDuGrandLivreDeLaNature.12
169 reference(s)
74-ImpossibleStructures.01.Fra
169 reference(s)
75-logiciel
168 reference(s)
76-VisitesGaleriesEnfouies.01.Fra
168 reference(s)
77-RasoirDOccamEtMathematiques.01.vv.Fra
168 reference(s)
78-DieuScience.01.Fra
168 reference(s)
79-infinity.01.vv
167 reference(s)
80-MonodimensionalCellularAutomata.01.Ang
166 reference(s)
81-nombresreels
165 reference(s)
82-fairedelarecherche.01.vv
165 reference(s)
83-demo
165 reference(s)
84-ExpV_VirE.Ang
165 reference(s)
85-infinity.02.vv
164 reference(s)
86-demo14
164 reference(s)
87-VirtualChaos.01.Fra
164 reference(s)
88-genielogiciel
163 reference(s)
89-demo.14
162 reference(s)
90-VirtualChaos.01.Ang
162 reference(s)
91-Spheres.01
162 reference(s)
92-MathematiquesModeleOutilArtiste.02.Ang
162 reference(s)
93-ImpossibleStructures.01.Ang
162 reference(s)
94-Fractal.03
162 reference(s)
95-UlamSpiral.01.Ang
161 reference(s)
96-realnumbers
160 reference(s)
97-NatureDesMathematiques.01.vv.Fra
159 reference(s)
98-MiseEnSceneDesNombres.01.vv.Fra
159 reference(s)
99-ManyChaos.01.Ang
159 reference(s)
100-OrdinateursEtCalculs.01.Ang
157 reference(s)
101-an2000
156 reference(s)
102-AvantPropos.01.Ang
156 reference(s)
103-EnsembleDesGaleriesFractales.DIAPO.0001
155 reference(s)
104-VisualisationRelief.01.vv.Fra
154 reference(s)
105-MiseEnSceneDesNombres.01.vv.Ang
154 reference(s)
106-ManyChaos.01.Fra
154 reference(s)
107-Fractal.02
154 reference(s)
108-AvantPropos.01.Fra
153 reference(s)
109-RasoirDOccamEtMathematiques.01.vv.Ang
152 reference(s)
110-MathematiquesEtRepresentations.01.vv.Ang
152 reference(s)
111-Informations_GoodNewsAndBadNews.01.Fra
152 reference(s)
112-Galerie_Tributes.FV
152 reference(s)
113-EnsembleDesGaleries.DIAPO.0001
152 reference(s)
114-GoldenTriangle.01.Ang
151 reference(s)
115-Galerie_SensitivityToRoundingOffErrors.FV
151 reference(s)
116-QuelquesQuestionsSurLaRecherche.01.Fra
146 reference(s)
117-Informations_AboutPicturesAnimationsAndFiles.01.Ang
143 reference(s)
118-present.01.
141 reference(s)
119-MathematiquesPhysiqueFractales.01
139 reference(s)
120-goldentriangle.01.fra
137 reference(s)
121-ExpV_VirE.21
136 reference(s)
122-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
131 reference(s)
123-ArtScience.01
131 reference(s)
124-InformatiqueProfessionnelle.01.Fra
130 reference(s)
125-MinistreEducationNationale.01.Fra
129 reference(s)
126-fractal.01
128 reference(s)
127-PresidentRepublique.01.Fra
127 reference(s)
128-Galerie_ImagesDesMathematiques.FV
127 reference(s)

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




Copyright (c) Jean-François Colonna, 2016-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2016-2018.