Monthly Best Of on 05/28/2018




A pyramidal Menger sponge computed by means of an 'Iterated Function System' -IFS-

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 05/28/2018 and last updated on 11/14/2023 17:49:28 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



A fractal vegetal structure
1-908 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
2-304 reference(s)		 The random walk of photons escaping the Sun
3-262 reference(s)		 Autostereogram with an hidden volcano
4-232 reference(s)
The random walk of photons escaping the Sun
5-225 reference(s)		 Happy new year 2000
6-211 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
7-187 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
8-177 reference(s)
Erosion of a bidimensional random (with small and large scale correlations)medium
9-164 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
10-146 reference(s)		 Two multiplexed autostereograms by means of a pi/2 rotation
11-139 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
12-136 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
13-125 reference(s)		 Bidimensional Hilbert Curve -iteration 4-
14-108 reference(s)		 The generalized Ulam spiral
15-100 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
16-88 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
17-84 reference(s)		 The Bonan-Jeener-Klein triple bottle
18-84 reference(s)		 Hypercube
19-80 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
20-80 reference(s)
The Sierpinski carpet -iteration 5-
21-79 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
22-73 reference(s)		 Artistic view of the prime numbers
23-72 reference(s)		 The bidimensional John Conway's life game
24-69 reference(s)
Pseudo Olympic Rings
25-68 reference(s)		 Autostereogram with an hidden volcano
26-65 reference(s)		 Quantum vacuum fluctuations
27-60 reference(s)		 Monument Valley à la David Hockney
28-57 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
29-56 reference(s)		 Autostereogram with an hidden volcano
30-55 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
31-49 reference(s)		 An aperiodic Penrose tiling of the plane
32-48 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
33-47 reference(s)		 The random walk of photons escaping the Sun
34-45 reference(s)		 A fractal Möbius strip
35-45 reference(s)		 True colors autostereogram of a fractal landscape
36-44 reference(s)
The Universe at the heart of a Calabi-Yau manifold
37-43 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
38-43 reference(s)		 Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
39-42 reference(s)		 Monument Valley à la David Hockney
40-42 reference(s)
Autostereogram with an hidden ring and ghost bows
41-40 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
42-40 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
43-39 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
44-38 reference(s)
Autostereogram with an hidden volcano
45-38 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-
46-38 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
47-38 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
48-37 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
49-37 reference(s)		 Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
50-37 reference(s)		 Tridimensional texture animation by means of the Generalized Product
51-37 reference(s)		 Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
52-37 reference(s)
From Mars to the Sun
53-37 reference(s)		 The Möbius strip
54-37 reference(s)		 Tridimensional zoom in on the Mandelbrot set
55-37 reference(s)		 Bidimensional geometrical texture animation
56-36 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
57-36 reference(s)		 A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
58-36 reference(s)		 Bidimensional texture animation by means of the Generalized Product
59-36 reference(s)		 Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
60-36 reference(s)
Tridimensional Hilbert Curve -iteration 3-
61-36 reference(s)		 Isle of the Dead -a Tribute to Arnold Böcklin-
62-33 reference(s)		 The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
63-32 reference(s)		 A fractal Klein bottle
64-31 reference(s)
The Jeener-Klein triple bottle
65-31 reference(s)		 An aperiodic Penrose tiling of the plane
66-30 reference(s)		 Sixteen interlaced fractal torus
67-30 reference(s)		 The first four iterations of the construction of the von Koch snowflake
68-29 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
69-29 reference(s)		 The Menger sponge -iteration 5-
70-28 reference(s)		 A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
71-28 reference(s)		 A fractal aperiodic Penrose tiling
72-28 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
73-27 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
74-27 reference(s)		 Autostereogram with an hidden ring and ghost bows
75-27 reference(s)		 The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
76-27 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
77-27 reference(s)		 Fractal natural form
78-26 reference(s)		 A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
79-26 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
80-26 reference(s)
Jean-François COLONNA (on 11/17/1994)with its fractal mountains
81-25 reference(s)		 A truncated quadrimensional Calabi-Yau manifold with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
82-25 reference(s)		 An aperiodic Penrose tiling of the plane
83-24 reference(s)		 The Simpson paradox
84-23 reference(s)
Quark and gluon structure of a nucleon
85-23 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
86-23 reference(s)		 Fractal Self-Portrait -a Tribute to René Magritte-
87-23 reference(s)		 A tridimensionally distorded aperiodic Penrose tiling of the plane
88-22 reference(s)
The Boy surface
89-22 reference(s)		 The Lorenz attractor
90-22 reference(s)		 An Archimedes spiral displaying 100000 numbers
91-21 reference(s)		 The generalized Ulam spiral displaying 100 numbers
92-21 reference(s)
From 'geocentrism' to 'heliocentrism'
93-21 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
94-21 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
95-21 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
96-21 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
97-20 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
98-20 reference(s)		 From Pluto to the Sun (non linear scales)
99-20 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
100-20 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
101-20 reference(s)		 The Jeener-Klein triple bottle
102-20 reference(s)		 Where is the Multiverse?
103-19 reference(s)		 The Sierpinski carpet -iteration 1 to 5-
104-19 reference(s)
4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
105-19 reference(s)		 Electronic circuit blueprint
106-19 reference(s)		 Bidimensional zoom in on the Mandelbrot set
107-19 reference(s)		 Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
108-19 reference(s)
Autostereogram of Monument Valley
109-18 reference(s)		 Quark and gluon structure of a nucleon
110-18 reference(s)		 Artistic view of a pyramidal Menger sponge computed by means of an 'Iterated Function System' -IFS-
111-18 reference(s)		 Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
112-17 reference(s)
Fractal Self-Portrait -a Tribute to René Magritte-
113-17 reference(s)		 Fractal 7-foil torus knot
114-17 reference(s)		 The tower -a Tribute to Vladimir Tatline-
115-17 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
116-16 reference(s)
Artistic view of the Big Bang
117-16 reference(s)		 A tridimensionally distorded aperiodic Penrose tiling of the Golden Decagon
118-16 reference(s)		 An aperiodic non linear Penrose tiling of the plane
119-16 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
120-16 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
121-16 reference(s)		 The Boy surface
122-16 reference(s)		 A pay slip
123-16 reference(s)		 The pseudo-sphere
124-16 reference(s)
An Archimedes spiral displaying 10000 numbers
125-16 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
126-16 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation
127-16 reference(s)		 An amazing cross-section inside the Menger sponge -iteration 5-
128-16 reference(s)




2-The 128 most referenced Pages (*):

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



1-Vcatalogue.11
2322 reference(s)		 2-An2000.01.Fra
1097 reference(s)
3-demo_14
965 reference(s)		 4-MathematiquesPhysiqueFractales.22
495 reference(s)
5-ImagesDuVirtuel.01.Fra
494 reference(s)		 6-Galerie_NumberTheory.FV
384 reference(s)
7-ComplexiteStructurelleClassements.11
342 reference(s)		 8-Fractal.11
311 reference(s)
9-DieuScience.01.Fra
264 reference(s)		 10-Galerie_DeterministicFractalGeometry.FV
255 reference(s)
11-AnimFractal.01.
252 reference(s)		 12-MathematiquesModeleOutilArtiste.02.Ang
246 reference(s)
13-AVirtualSpaceTimeTravelMachine.Ang
245 reference(s)		 14-Galerie_GeneralitiesVisualization.FV
241 reference(s)
15-An2000.01.Ang
240 reference(s)		 16-help.
236 reference(s)
17-MorePages.
236 reference(s)		 18-RealNumbers.01.Fra
225 reference(s)
19-DuModeleALImage.02.Fra
224 reference(s)		 20-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
223 reference(s)
21-subject.01.
222 reference(s)		 22-Fractal.01
221 reference(s)
23-Galerie_ArtisticCreation.FV
211 reference(s)		 24-Autostereograms.01.
211 reference(s)
25-FaireDeLaRecherche.01.vv
209 reference(s)		 26-Stereogrammes_AutoStereogrammes.01
207 reference(s)
27-FloatingPointNumbers.01.Ang
207 reference(s)		 28-GoldenTriangle.01.Fra
200 reference(s)
29-MathematiquesPhysiqueFractales.02
198 reference(s)		 30-LesApprentisDieux.01
197 reference(s)
31-Galerie_QuantumMechanics.FV
197 reference(s)		 32-Galerie_SensitivityToRoundingOffErrors.FV
196 reference(s)
33-Galerie_DeterministicChaos.FV
194 reference(s)		 34-FloatingPointNumbers.01.Fra
194 reference(s)
35-AVirtualSpaceTimeTravelMachine.Fra
192 reference(s)		 36-Spheres.01
191 reference(s)
37-NDimensionalDeterministicFractalSets.01.Ang
190 reference(s)		 38-FaireDesMathematiques.01.Fra
190 reference(s)
39-GenieLogiciel_VisualisationScientifique.01.vv
188 reference(s)		 40-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
188 reference(s)
41-OrdinateurMathematiquesArt.01.Fra
187 reference(s)		 42-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
186 reference(s)
43-mail.01.vv
185 reference(s)		 44-create.03.
185 reference(s)
45-Kepler.02.
185 reference(s)		 46-Galerie_ArtAndScience.FV
184 reference(s)
47-UlamSpiral.01.Fra
183 reference(s)		 48-Fractal.21
181 reference(s)
49-GenieLogiciel.01.Fra
180 reference(s)		 50-Galerie_NewPictures.FV
180 reference(s)
51-Galerie_Astrophysics.FV
177 reference(s)		 52-ArtScience.01
177 reference(s)
53-AProposSite.01.Fra
177 reference(s)		 54-SurfaceProjector.01.Fra
175 reference(s)
55-catalogue.11
172 reference(s)		 56-NatureDesMathematiques.01.vv.Fra
171 reference(s)
57-Galerie_SignalProcessing.FV
170 reference(s)		 58-copyright.01.
168 reference(s)
59-MathematiquesPhysiqueFractales.12
167 reference(s)		 60-LOG_xiMc.11
166 reference(s)
61-MonodimensionalCellularAutomata.01.Ang
162 reference(s)		 62-Galerie_FluidMechanics.FV
161 reference(s)
63-Fractal.03
161 reference(s)		 64-MonodimensionalCellularAutomata.01.Fra
160 reference(s)
65-Galerie_BestOf.FV
160 reference(s)		 66-NombresEtLumiere.01.vv.Fra
159 reference(s)
67-SurfaceProjector.01.Ang
158 reference(s)		 68-Galerie_ParticleSystems.FV
158 reference(s)
69-EntrelacsIntertwinings.01.Ang
155 reference(s)		 70-NDimensionalDeterministicFractalSets.01.Fra
153 reference(s)
71-ExpV_VirE.Fra
153 reference(s)		 72-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
153 reference(s)
73-UlamSpiral.01.Ang
152 reference(s)		 74-ExpV_VirE.11
152 reference(s)
75-VisualisationRelief.01.vv.Fra
151 reference(s)		 76-ManyChaos.01.Ang
151 reference(s)
77-Galerie_NumberTheory
151 reference(s)		 78-realnumbers
150 reference(s)
79-an2000
150 reference(s)		 80-IllusionConnaissance.02
150 reference(s)
81-present.01.
149 reference(s)		 82-ManyChaos.01.Fra
149 reference(s)
83-nombresreels
148 reference(s)		 84-genielogiciel
148 reference(s)
85-demo14
148 reference(s)		 86-demo
148 reference(s)
87-OrdinateursEtCalculs.01.Fra
148 reference(s)		 88-demo.14
147 reference(s)
89-EntrelacsIntertwinings.01.Fra
147 reference(s)		 90-logiciel
146 reference(s)
91-Galerie_CelestialMechanics.FV
146 reference(s)		 92-EnsembleDesGaleriesFractales.DIAPO.0001
146 reference(s)
93-VirtualChaos.01.Ang
144 reference(s)		 94-RemarquesCerveau.01
144 reference(s)
95-Galerie_Tributes.FV
143 reference(s)		 96-AvantPropos.01.Ang
143 reference(s)
97-PerteDeLAssociativite.01
142 reference(s)		 98-Galerie_TextureSynthesis.FV
142 reference(s)
99-infinity.01.vv
141 reference(s)		 100-Tcatalogue.11
141 reference(s)
101-ImagesDuVirtuel.01.Fra.FV
141 reference(s)		 102-ExpV_VirE.Ang
141 reference(s)
103-OrdinateursEtCalculs.01.Ang
140 reference(s)		 104-MathematiquesLangageDuGrandLivreDeLaNature.12
140 reference(s)
105-ImpossibleStructures.01.Ang
139 reference(s)		 106-MathematiquesEtRepresentations.01.vv.Ang
138 reference(s)
107-GoldenTriangle.01.Ang
138 reference(s)		 108-Pcatalogue.11
137 reference(s)
109-ImpossibleStructures.01.Fra
137 reference(s)		 110-RasoirDOccamEtMathematiques.01.vv.Fra
136 reference(s)
111-RasoirDOccamEtMathematiques.01.vv.Ang
136 reference(s)		 112-MiseEnSceneDesNombres.01.vv.Fra
136 reference(s)
113-QuelquesQuestionsSurLaRecherche.01.Fra
135 reference(s)		 114-PatrimoineHumanite.02.Fra
135 reference(s)
115-EnsembleDesGaleries.DIAPO.0001
135 reference(s)		 116-DecimalesPi_1_100.vv
135 reference(s)
117-VirtualChaos.01.Fra
134 reference(s)		 118-VisitesGaleriesEnfouies.01.Fra
132 reference(s)
119-MiseEnSceneDesNombres.01.vv.Ang
132 reference(s)		 120-MathematiquesEtCinematographe.01.vv
132 reference(s)
121-AvantPropos.01.Fra
132 reference(s)		 122-Informations_GoodNewsAndBadNews.01.Fra
131 reference(s)
123-ExpV_VirE.21
131 reference(s)		 124-VisitesGaleriesEnfouies.01.Ang
130 reference(s)
125-Galerie_DeterministicChaos
130 reference(s)		 126-infinity.02.vv
129 reference(s)
127-Galerie_SalonDAutomne.FV
126 reference(s)		 128-Fractal.02
125 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.