Monthly Best Of on 11/28/2018




Tridimensional fractal cross -iteration 2-

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 11/28/2018 and last updated on 11/14/2023 17:49:33 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



A fractal vegetal structure
1-360 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
2-282 reference(s)		 Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
3-269 reference(s)		 The random walk of photons escaping the Sun
4-254 reference(s)
The random walk of photons escaping the Sun
5-251 reference(s)		 Erosion of a bidimensional random (with small and large scale correlations)medium
6-213 reference(s)		 Happy new year 2000
7-199 reference(s)		 Gravitation and space-time curvature
8-180 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
9-165 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
10-156 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
11-149 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
12-142 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
13-124 reference(s)		 Hypercube
14-123 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
15-111 reference(s)		 The generalized Ulam spiral
16-110 reference(s)
Artistic view of the prime numbers
17-98 reference(s)		 Autostereogram with an hidden volcano
18-81 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
19-79 reference(s)		 Autostereogram with an hidden volcano
20-78 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
21-77 reference(s)		 From 'geocentrism' to 'heliocentrism'
22-76 reference(s)		 Untitled 0267 -a Tribute to Piet Mondrian-
23-75 reference(s)		 A fractal vegetal structure -'the Knowledge Tree'-
24-72 reference(s)
The bidimensional John Conway's life game
25-72 reference(s)		 The Bonan-Jeener-Klein triple bottle
26-70 reference(s)		 Pseudo Olympic Rings
27-67 reference(s)		 Bidimensional Hilbert Curve -iteration 4-
28-63 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
29-62 reference(s)		 Autostereogram with an hidden volcano
30-61 reference(s)		 The Universe at the heart of a Calabi-Yau manifold
31-56 reference(s)		 The Jeener-Klein triple bottle
32-55 reference(s)
Quantum vacuum fluctuations
33-54 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
34-54 reference(s)		 The random walk of photons escaping the Sun
35-52 reference(s)		 Autostereogram with an hidden volcano
36-51 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
37-50 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-
38-50 reference(s)		 Autostereogram of the CMAP
39-48 reference(s)		 Autostereogram with an hidden ring and ghost bows
40-48 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
41-47 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
42-47 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
43-46 reference(s)		 The Möbius strip
44-44 reference(s)
Metropolis -a Tribute to Fritz Lang-
45-44 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
46-44 reference(s)		 A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
47-43 reference(s)		 Tridimensional zoom in on the Mandelbrot set
48-43 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
49-42 reference(s)		 Tridimensional texture animation by means of the Generalized Product
50-42 reference(s)		 From Mars to the Sun
51-42 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
52-42 reference(s)
A fractal Klein bottle
53-42 reference(s)		 The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
54-42 reference(s)		 Bidimensional geometrical texture animation
55-41 reference(s)		 Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
56-41 reference(s)
Bidimensional texture animation by means of the Generalized Product
57-41 reference(s)		 Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
58-41 reference(s)		 A spherical cross-section inside the Menger sponge -iteration 5-
59-41 reference(s)		 Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
60-41 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
61-40 reference(s)		 An Archimedes spiral displaying 5000 numbers
62-40 reference(s)		 Two multiplexed autostereograms by means of a pi/2 rotation
63-38 reference(s)		 True colors autostereogram of a fractal landscape
64-37 reference(s)
Sixteen interlaced fractal torus
65-37 reference(s)		 A fractal Möbius strip
66-37 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
67-37 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
68-35 reference(s)
A quaternionic Julia set -tridimensional cross-section-
69-34 reference(s)		 An aperiodic Penrose tiling of the plane
70-33 reference(s)		 Portrait (Lena)-with a 'OY' symmetry-
71-33 reference(s)		 The Menger sponge -iteration 5-
72-33 reference(s)
The Sierpinski carpet -iteration 1 to 5-
73-32 reference(s)		 Fractal natural form
74-32 reference(s)		 The Klein bottle defined by means of three bidimensional fields
75-32 reference(s)		 A fractal aperiodic Penrose tiling
76-31 reference(s)
Anaglyph -blue=right, red=left- of a fractal hypercube
77-31 reference(s)		 A pseudo-periodical triangular tiling of the plane
78-30 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
79-30 reference(s)		 My own quadruple impossible staircase -a Tribute to Maurits Cornelis Escher-
80-29 reference(s)
Autostereogram with an hidden ring and ghost bows
81-28 reference(s)		 Tridimensional Hilbert Curve -iteration 3-
82-28 reference(s)		 The pseudo-sphere
83-27 reference(s)		 The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
84-27 reference(s)
The Lorenz attractor
85-27 reference(s)		 Quantum vacuum fluctuations
86-26 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
87-26 reference(s)		 A tridimensionally distorded aperiodic Penrose tiling of the plane
88-26 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
89-26 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
90-26 reference(s)		 The Klein bottle
91-26 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
92-25 reference(s)
From the infinitely small to the infinitely big
93-25 reference(s)		 An aperiodic Penrose tiling of the plane
94-24 reference(s)		 A sphere computed with the 'max-plus' arithmetic (maximum,addition)
95-24 reference(s)		 The Sierpinski carpet -iteration 3-
96-24 reference(s)
Autostereogram of Monument Valley
97-24 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
98-24 reference(s)		 An Archimedes spiral displaying 100000 numbers
99-23 reference(s)		 The Jeener-Klein triple bottle
100-23 reference(s)
Monument Valley à la David Hockney
101-22 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
102-22 reference(s)		 Fractal 7-foil torus knot
103-22 reference(s)		 Where is the Multiverse?
104-21 reference(s)
An aperiodic Penrose tiling of the plane
105-21 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
106-21 reference(s)		 Monument Valley at sunrise
107-21 reference(s)		 Color palette 'jaune'
108-21 reference(s)
Quark and gluon structure of a nucleon
109-21 reference(s)		 Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
110-21 reference(s)		 Untitled 0269 -a Tribute to Piet Mondrian-
111-21 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
112-20 reference(s)
The Sierpinski carpet -iteration 5-
113-20 reference(s)		 Tridimensional display of the particle trajectories of bidimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
114-20 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
115-20 reference(s)		 A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
116-20 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
117-20 reference(s)		 The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
118-20 reference(s)		 Isle of the Dead -a Tribute to Arnold Böcklin-
119-20 reference(s)		 Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,...)obtained by means of a non deterministic fractal process
120-20 reference(s)
The 64 first lines of the Pascal's Triangle -modulo 7-
121-19 reference(s)		 Fractal natural form
122-19 reference(s)		 From Pluto to the Sun -extrapolation 1- (non linear scales)
123-19 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
124-19 reference(s)
Jean-François COLONNA (on 11/17/1994)with its fractal mountains
125-19 reference(s)		 The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
126-19 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
127-19 reference(s)		 Heterogeneous -tridimensional fractal field- random meshing of a cube
128-19 reference(s)




2-The 128 most referenced Pages (*):

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



1-Vcatalogue.11
2175 reference(s)		 2-An2000.01.Fra
1057 reference(s)
3-demo_14
936 reference(s)		 4-ImagesDuVirtuel.01.Fra.FV
729 reference(s)
5-ImagesDuVirtuel.01.Fra
635 reference(s)		 6-help.
560 reference(s)
7-An2000.01.Ang
538 reference(s)		 8-ComplexiteStructurelleClassements.11
518 reference(s)
9-ExpV_VirE.Fra
428 reference(s)		 10-MathematiquesPhysiqueFractales.22
389 reference(s)
11-Galerie_NumberTheory.FV
369 reference(s)		 12-present.01.
346 reference(s)
13-AVirtualSpaceTimeTravelMachine.Ang
341 reference(s)		 14-Galerie_GeneralitiesVisualization.FV
334 reference(s)
15-GenieLogiciel.01.Fra
318 reference(s)		 16-GenieLogiciel_VisualisationScientifique.01.vv
304 reference(s)
17-MorePages.
303 reference(s)		 18-Galerie_DeterministicFractalGeometry.FV
298 reference(s)
19-Galerie_ImagesDesMathematiques.FV
280 reference(s)		 20-Informations_GoodNewsAndBadNews.01.Fra
279 reference(s)
21-ExpV_VirE.Ang
278 reference(s)		 22-Galerie_DeterministicFractalGeometry
275 reference(s)
23-Galerie_ArtisticCreation.FV
263 reference(s)		 24-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
258 reference(s)
25-Informations_GoodNewsAndBadNews.01.Ang
256 reference(s)		 26-Fractal.11
237 reference(s)
27-VisSci_SciVis.02
235 reference(s)		 28-Galerie_NumberTheory
234 reference(s)
29-Fractal.01
231 reference(s)		 30-GenieLogiciel.01.Ang
230 reference(s)
31-create.03.
229 reference(s)		 32-SurfaceProjector.01.Fra
227 reference(s)
33-DuModeleALImage.02.Fra
227 reference(s)		 34-demo_14.FV
226 reference(s)
35-ExpV_VirE.11
226 reference(s)		 36-RealNumbers.01.Fra
207 reference(s)
37-Stereogrammes_AutoStereogrammes.01
198 reference(s)		 38-LOG_xiMc.11
197 reference(s)
39-Galerie_ParticleSystems.FV
197 reference(s)		 40-NDimensionalDeterministicFractalSets.01.Fra
191 reference(s)
41-DieuScience.01.Fra
191 reference(s)		 42-nombresreels
187 reference(s)
43-Galerie_GeneralitiesVisualization
186 reference(s)		 44-LesApprentisDieux.01
185 reference(s)
45-FloatingPointNumbers.01.Fra
185 reference(s)		 46-Fractal.21
180 reference(s)
47-OrdinateurMathematiquesArt.01.Fra
178 reference(s)		 48-Galerie_ArtAndScience.FV
178 reference(s)
49-MathematiquesModeleOutilArtiste.02.Ang
177 reference(s)		 50-AnimFractal.01.
176 reference(s)
51-MathematiquesPhysiqueFractales.02
171 reference(s)		 52-Galerie_ArtisticCreation
170 reference(s)
53-demo
166 reference(s)		 54-mail.01.vv
165 reference(s)
55-genielogiciel
165 reference(s)		 56-Kepler.02.
164 reference(s)
57-demo14
162 reference(s)		 58-logiciel
161 reference(s)
59-an2000
161 reference(s)		 60-Galerie_ParticleSystems
161 reference(s)
61-demo.14
160 reference(s)		 62-Galerie_DeterministicChaos.FV
160 reference(s)
63-realnumbers
159 reference(s)		 64-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
159 reference(s)
65-NDimensionalDeterministicFractalSets.01.Ang
158 reference(s)		 66-AVirtualSpaceTimeTravelMachine.Fra
157 reference(s)
67-OrdinateursEtCalculs.01.Fra
156 reference(s)		 68-Commentaires_NKleinBottle.01
156 reference(s)
69-subject.01.
155 reference(s)		 70-Galerie_NewPictures.FV
155 reference(s)
71-FaireDeLaRecherche.01.vv
155 reference(s)		 72-EntrelacsIntertwinings.01.Ang
155 reference(s)
73-Galerie_BestOf.FV
154 reference(s)		 74-Autostereograms.01.
151 reference(s)
75-Galerie_DeterministicChaos
150 reference(s)		 76-An2000.02.Fra
150 reference(s)
77-AProposSite.01.Fra
150 reference(s)		 78-GoldenTriangle.01.Fra
149 reference(s)
79-SurfaceProjector.01.Ang
148 reference(s)		 80-infinity.01.vv
145 reference(s)
81-Fractal.03
145 reference(s)		 82-EntrelacsIntertwinings.01.Fra
141 reference(s)
83-Galerie_CelestialMechanics.FV
140 reference(s)		 84-AQuoiServentLesMathematiques.01
140 reference(s)
85-VisualisationRelief.01.vv.Fra
139 reference(s)		 86-UlamSpiral.01.Fra
136 reference(s)
87-Galerie_Astrophysics.FV
136 reference(s)		 88-ExpV_VirE.21
136 reference(s)
89-Galerie_QuantumMechanics.FV
135 reference(s)		 90-AVirtualSpaceTimeTravelMachine.Fra.FV
134 reference(s)
91-Galerie_TextureSynthesis.FV
133 reference(s)		 92-DuModeleALImage.01.Fra
132 reference(s)
93-Galerie_CelestialMechanics
131 reference(s)		 94-Galerie_ArtAndScience
131 reference(s)
95-AVirtualSpaceTimeTravelMachine.Ang.FV
131 reference(s)		 96-FloatingPointNumbers.01.Ang
130 reference(s)
97-DuReelAuVirtuel.01.Fra
130 reference(s)		 98-copyright.01.
129 reference(s)
99-MathematiquesPhysiqueFractales.12
129 reference(s)		 100-MonodimensionalCellularAutomata.01.Fra
128 reference(s)
101-ArtScience.01
127 reference(s)		 102-Informations_AboutPicturesAnimationsAndFiles.01.Ang
126 reference(s)
103-NatureDesMathematiques.01.vv.Fra
125 reference(s)		 104-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
125 reference(s)
105-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
125 reference(s)		 106-MathematiquesPhysiqueFractales.01
124 reference(s)
107-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
124 reference(s)		 108-OrdinateursEtCalculs.01.Ang
123 reference(s)
109-Galerie_SignalProcessing.FV
123 reference(s)		 110-FaireDesMathematiques.01.Fra
123 reference(s)
111-catalogue.11
122 reference(s)		 112-VisSci_SciVis.01
122 reference(s)
113-Galerie_SensitivityToRoundingOffErrors.FV
122 reference(s)		 114-Galerie_ImagesDidactiques.FV
122 reference(s)
115-ImpossibleStructures.01.Ang
121 reference(s)		 116-MathematiquesPhysiqueFractales.02.27
120 reference(s)
117-MathematiquesPhysiqueFractales.02.1
120 reference(s)		 118-UlamSpiral.01.Ang
119 reference(s)
119-PerteDeLAssociativite.01
119 reference(s)		 120-IllusionConnaissance.02
119 reference(s)
121-HommageBenoitMandelbrot.21
118 reference(s)		 122-CompressionDeCompression_ComplexiteStructurelle.CDCM1_Y.01
118 reference(s)
123-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
118 reference(s)		 124-xDarchivesG__SMC__sources__utilitaires_____SI_ASSYS
117 reference(s)
125-Spheres.01
117 reference(s)		 126-Galerie_TextureSynthesis
117 reference(s)
127-Fractal.02
117 reference(s)		 128-DecimalesPi_100000.vv
117 reference(s)

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




Copyright © Jean-François COLONNA, 2018-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2018-2023.