Monthly Best Of on 12/28/2017




Tridimensional fractal structure

Jean-François COLONNA
[Contact me]

www.lactamme.polytechnique.fr

CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, École polytechnique, Institut Polytechnique de Paris, CNRS, France

[Site Map, Help and Search [Plan du Site, Aide et Recherche]]
[The Y2K Bug [Le bug de l'an 2000]]
[Real Numbers don't exist in Computers and Floating Point Computations aren't safe. [Les Nombres Réels n'existent dans les Ordinateurs et les Calculs Flottants ne sont pas sûrs.]]
[Please, visit A Virtual Machine for Exploring Space-Time and Beyond, the place where you can find thousands of pictures and animations between Art and Science]
(CMAP28 WWW site: this page was created on 12/28/2017 and last updated on 11/14/2023 17:49:22 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Happy new year 2000
1-289 reference(s)		 Hypercube
2-274 reference(s)		 Autostereogram with an hidden volcano
3-255 reference(s)		 Erosion of a bidimensional random (with small and large scale correlations)medium
4-235 reference(s)
The random walk of photons escaping the Sun
5-230 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
6-166 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
7-159 reference(s)		 The Bonan-Jeener-Klein triple bottle
8-149 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
9-136 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
10-135 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
11-131 reference(s)		 The Sierpinski carpet -iteration 5-
12-130 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
13-127 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
14-112 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
15-110 reference(s)		 The generalized Ulam spiral
16-106 reference(s)
Bidimensional Hilbert Curve -iteration 4-
17-103 reference(s)		 The Jeener-Klein triple bottle
18-95 reference(s)		 The random walk of photons escaping the Sun
19-94 reference(s)		 Autostereogram with an hidden volcano
20-85 reference(s)
The bidimensional John Conway's life game
21-84 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
22-76 reference(s)		 Quantum vacuum fluctuations
23-72 reference(s)		 Autostereogram with an hidden volcano
24-70 reference(s)
Artistic view of the prime numbers
25-68 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
26-62 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
27-61 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
28-59 reference(s)
The first four iterations of the construction of the von Koch snowflake
29-58 reference(s)		 Sixteen interlaced fractal torus
30-57 reference(s)		 The random walk of photons escaping the Sun
31-53 reference(s)		 An aperiodic Penrose tiling of the plane
32-50 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
33-50 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
34-50 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
35-49 reference(s)		 Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
36-48 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
37-47 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
38-46 reference(s)		 Fractal natural form
39-45 reference(s)		 Autostereogram with an hidden volcano
40-44 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
41-44 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
42-43 reference(s)		 Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
43-42 reference(s)		 Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
44-42 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
45-42 reference(s)		 Bidimensional geometrical texture animation
46-41 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-
47-41 reference(s)		 Tridimensional zoom in on the Mandelbrot set
48-41 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
49-40 reference(s)		 A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
50-40 reference(s)		 Bidimensional texture animation by means of the Generalized Product
51-40 reference(s)		 An Archimedes spiral displaying 10000 numbers
52-40 reference(s)
From Mars to the Sun
53-40 reference(s)		 The Möbius strip
54-40 reference(s)		 Autostereogram with an hidden ring and ghost bows
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)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
57-39 reference(s)		 Tridimensional texture animation by means of the Generalized Product
58-39 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
59-39 reference(s)		 The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
60-38 reference(s)
The Menger sponge -iteration 5-
61-37 reference(s)		 True colors autostereogram of a fractal landscape
62-36 reference(s)		 Fractal natural form
63-34 reference(s)		 The Universe at the heart of a Calabi-Yau manifold
64-33 reference(s)
The Lorenz attractor
65-33 reference(s)		 A fractal Möbius strip
66-33 reference(s)		 Quark and gluon structure of a nucleon
67-32 reference(s)		 The Sierpinski carpet -iteration 1-
68-31 reference(s)
The generalized Ulam spiral displaying 100 numbers
69-31 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
70-30 reference(s)		 The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
71-30 reference(s)		 A 'bidimensional epicycloïdal' pseudo-torus
72-30 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
73-29 reference(s)		 Autostereogram with an hidden ring and ghost bows
74-29 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
75-29 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
76-29 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
77-28 reference(s)		 An Archimedes spiral displaying 100000 numbers
78-27 reference(s)		 Tridimensional Hilbert Curve -iteration 3-
79-26 reference(s)		 A punched paper tape
80-25 reference(s)
Recursive subdivision of the Golden Rectangle by means of the Golden Ratio -phi-
81-25 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
82-25 reference(s)		 A pseudo-periodical triangular tiling of the plane
83-24 reference(s)		 2000 evenly distributed points on a sphere by means of the Fibonacci spiral
84-24 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
85-24 reference(s)		 A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
86-24 reference(s)		 A fractal Klein bottle
87-24 reference(s)		 The Jeener-Klein triple bottle
88-24 reference(s)
Quantum vacuum fluctuations
89-23 reference(s)		 Where is the Multiverse?
90-23 reference(s)		 Bidimensional zoom in on the Mandelbrot set
91-23 reference(s)		 The tower -a Tribute to Vladimir Tatline-
92-23 reference(s)
The Simpson paradox
93-22 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)
94-22 reference(s)		 From 'geocentrism' to 'heliocentrism'
95-22 reference(s)		 A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
96-22 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
97-22 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
98-22 reference(s)		 Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
99-21 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
100-21 reference(s)
An aperiodic non linear Penrose tiling of the plane
101-21 reference(s)		 A fractal vegetal structure -'the Knowledge Tree'-
102-21 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
103-21 reference(s)		 Monument Valley à la David Hockney
104-21 reference(s)
Quark and gluon structure of a nucleon
105-21 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
106-21 reference(s)		 Tridimensional display of the inflationary Universe
107-21 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon -a Tribute to Piet Mondrian and Roger Penrose-
108-20 reference(s)
An aperiodic Penrose tiling of the plane
109-20 reference(s)		 An aperiodic Penrose tiling of the plane
110-20 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
111-20 reference(s)		 Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
112-20 reference(s)
Monument Valley à la David Hockney
113-20 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation
114-20 reference(s)		 Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
115-20 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
116-20 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
117-20 reference(s)		 Two alternative monodimensional 'quasi-continuous' cellular automata
118-20 reference(s)		 An aperiodic Penrose tiling of the plane
119-19 reference(s)		 Intertwining -a Tribute to Piet Mondrian-
120-19 reference(s)
Pseudo Olympic Rings
121-19 reference(s)		 A fractal aperiodic Penrose tiling
122-19 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
123-19 reference(s)		 The first four iterations of the construction of the von Koch snowflake
124-18 reference(s)
An aperiodic non linear Penrose tiling of the plane
125-18 reference(s)		 A 'crumpled' sphere defined by means of three bidimensional fields
126-18 reference(s)		 Autostereogram of Monument Valley
127-18 reference(s)		 From Pluto to the Sun -extrapolation 1- (non linear scales)
128-18 reference(s)




2-The 128 most referenced Pages (*):

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



1-Vcatalogue.11
3270 reference(s)		 2-demo_14
1046 reference(s)
3-ImagesDuVirtuel.01.Fra
888 reference(s)		 4-Galerie_DeterministicFractalGeometry
554 reference(s)
5-ComplexiteStructurelleClassements.11
444 reference(s)		 6-An2000.01.Fra
434 reference(s)
7-MorePages.
372 reference(s)		 8-create.03.
333 reference(s)
9-Stereogrammes_AutoStereogrammes.01
315 reference(s)		 10-Galerie_GeneralitiesVisualization.FV
311 reference(s)
11-AVirtualSpaceTimeTravelMachine.Ang
309 reference(s)		 12-Galerie_NumberTheory.FV
308 reference(s)
13-help.
289 reference(s)		 14-MathematiquesPhysiqueFractales.02
283 reference(s)
15-FloatingPointNumbers.01.Fra
280 reference(s)		 16-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
278 reference(s)
17-Galerie_ArtisticCreation.FV
262 reference(s)		 18-RealNumbers.01.Fra
260 reference(s)
19-FaireDeLaRecherche.01.vv
259 reference(s)		 20-SurfaceProjector.01.Fra
255 reference(s)
21-Galerie_DeterministicFractalGeometry.FV
251 reference(s)		 22-Fractal.01
244 reference(s)
23-Galerie_ParticleSystems
240 reference(s)		 24-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
240 reference(s)
25-Autostereograms.01.
240 reference(s)		 26-GoldenTriangle.01.Fra
237 reference(s)
27-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
236 reference(s)		 28-NombresEtLumiere.01.vv.Fra
235 reference(s)
29-MonodimensionalCellularAutomata.01.Fra
233 reference(s)		 30-Galerie_ArtAndScience.FV
233 reference(s)
31-EntrelacsIntertwinings.01.Ang
232 reference(s)		 32-AVirtualSpaceTimeTravelMachine.Fra
230 reference(s)
33-present.01.
229 reference(s)		 34-MathematiquesPhysiqueFractales.22
227 reference(s)
35-GenieLogiciel.01.Fra
227 reference(s)		 36-Galerie_QuantumMechanics.FV
227 reference(s)
37-Galerie_DeterministicChaos.FV
227 reference(s)		 38-mail.01.vv
225 reference(s)
39-SurfaceProjector.01.Ang
225 reference(s)		 40-MathematiquesModeleOutilArtiste.02.Ang
223 reference(s)
41-NDimensionalDeterministicFractalSets.01.Fra
220 reference(s)		 42-Galerie_NewPictures.FV
219 reference(s)
43-FloatingPointNumbers.01.Ang
213 reference(s)		 44-DuModeleALImage.02.Fra
212 reference(s)
45-ExpV_VirE.11
210 reference(s)		 46-LOG_xiMc.11
209 reference(s)
47-copyright.01.
205 reference(s)		 48-AProposSite.01.Fra
205 reference(s)
49-GenieLogiciel_VisualisationScientifique.01.vv
202 reference(s)		 50-Galerie_BestOf.FV
202 reference(s)
51-EntrelacsIntertwinings.01.Fra
202 reference(s)		 52-ImagesDuVirtuel.01.Fra.FV
201 reference(s)
53-Fractal.11
201 reference(s)		 54-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
201 reference(s)
55-Fractal.03
199 reference(s)		 56-UlamSpiral.01.Fra
196 reference(s)
57-NDimensionalDeterministicFractalSets.01.Ang
196 reference(s)		 58-catalogue.11
195 reference(s)
59-OrdinateurMathematiquesArt.01.Fra
195 reference(s)		 60-Galerie_CelestialMechanics.FV
195 reference(s)
61-NombresPremiers_10000.vv
192 reference(s)		 62-Galerie_ParticleSystems.FV
192 reference(s)
63-MonodimensionalCellularAutomata.01.Ang
187 reference(s)		 64-Kepler.02.
185 reference(s)
65-Galerie_Astrophysics.FV
185 reference(s)		 66-ConjectureDeSyracuse_0256.vv
185 reference(s)
67-OrdinateursEtCalculs.01.Fra
184 reference(s)		 68-AnimFractal.01.
184 reference(s)
69-ImpossibleStructures.01.Ang
183 reference(s)		 70-subject.01.
179 reference(s)
71-VisualisationRelief.01.vv.Fra
179 reference(s)		 72-FaireDesMathematiques.01.Fra
179 reference(s)
73-AQuoiServentLesMathematiques.01
179 reference(s)		 74-Galerie_SensitivityToRoundingOffErrors.FV
178 reference(s)
75-LesApprentisDieux.01
177 reference(s)		 76-GoldenTriangle.01.Ang
177 reference(s)
77-Galerie_SignalProcessing.FV
177 reference(s)		 78-DieuScience.01.Fra
177 reference(s)
79-demo
175 reference(s)		 80-UlamSpiral.01.Ang
175 reference(s)
81-infinity.01.vv
174 reference(s)		 82-OrdinateursEtCalculs.01.Ang
174 reference(s)
83-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
174 reference(s)		 84-logiciel
173 reference(s)
85-ImpossibleStructures.01.Fra
173 reference(s)		 86-Galerie_FluidMechanics.FV
173 reference(s)
87-demo.14
172 reference(s)		 88-nombresreels
171 reference(s)
89-Galerie_TextureSynthesis.FV
171 reference(s)		 90-realnumbers
170 reference(s)
91-genielogiciel
169 reference(s)		 92-VirtualChaos.01.Fra
169 reference(s)
93-Spheres.01
169 reference(s)		 94-demo14
168 reference(s)
95-fairedelarecherche.01.vv
167 reference(s)		 96-VisitesGaleriesEnfouies.01.Fra
167 reference(s)
97-Informations_AboutPicturesAnimationsAndFiles.01.Ang
167 reference(s)		 98-infinity.02.vv
166 reference(s)
99-NatureDesMathematiques.01.vv.Fra
166 reference(s)		 100-MiseEnSceneDesNombres.01.vv.Fra
166 reference(s)
101-an2000
165 reference(s)		 102-RasoirDOccamEtMathematiques.01.vv.Fra
165 reference(s)
103-ManyChaos.01.Ang
165 reference(s)		 104-IllusionConnaissance.02
165 reference(s)
105-QuelquesQuestionsSurLaRecherche.01.Fra
164 reference(s)		 106-ManyChaos.01.Fra
163 reference(s)
107-ExpV_VirE.Fra
163 reference(s)		 108-ExpV_VirE.Ang
162 reference(s)
109-PerteDeLAssociativite.01
161 reference(s)		 110-MiseEnSceneDesNombres.01.vv.Ang
161 reference(s)
111-VisitesGaleriesEnfouies.01.Ang
160 reference(s)		 112-MathematiquesLangageDuGrandLivreDeLaNature.12
160 reference(s)
113-MathematiquesEtRepresentations.01.vv.Ang
159 reference(s)		 114-RemarquesCerveau.01
158 reference(s)
115-PatrimoineHumanite.02.Fra
158 reference(s)		 116-AvantPropos.01.Ang
156 reference(s)
117-VirtualChaos.01.Ang
153 reference(s)		 118-EnsembleDesGaleriesFractales.DIAPO.0001
153 reference(s)
119-EnsembleDesGaleries.DIAPO.0001
152 reference(s)		 120-AvantPropos.01.Fra
152 reference(s)
121-MathematiquesEtCinematographe.01.vv
151 reference(s)		 122-Informations_GoodNewsAndBadNews.01.Fra
151 reference(s)
123-Galerie_Tributes.FV
151 reference(s)		 124-Fractal.02
150 reference(s)
125-ArtEtMathematiques.01
148 reference(s)		 126-RasoirDOccamEtMathematiques.01.vv.Ang
146 reference(s)
127-Galerie_TextureSynthesis
146 reference(s)		 128-MathematiquesPhysiqueFractales.02.1
145 reference(s)

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




Copyright © Jean-François COLONNA, 2017-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2017-2023.