Monthly Best Of on 03/28/2012




A fractal polyhedron

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 03/28/2012 and last updated on 11/14/2023 17:48:00 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The random walk of photons escaping the Sun
1-612 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-158 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
3-97 reference(s)		 The Lorenz attractor
4-88 reference(s)
Zoom in on the von Koch curve
5-84 reference(s)		 Artistic view of the prime numbers
6-84 reference(s)		 From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
7-82 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
8-77 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
9-64 reference(s)		 Mystery cliffs at sunrise
10-57 reference(s)		 Mystery mountain at sunrise
11-52 reference(s)		 Mountains at sunrise
12-50 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
13-50 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)
14-44 reference(s)		 From the infinitely small to the infinitely big
15-42 reference(s)		 Welcome aboard a Virtual Space-Time Travel Machine
16-41 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
17-41 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
18-33 reference(s)		 The generalized Ulam spiral displaying 1024 numbers
19-33 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
20-33 reference(s)
From the infinitely small to the infinitely big
21-33 reference(s)		 The random walk of photons escaping the Sun
22-32 reference(s)		 The generalized Ulam spiral displaying 100 numbers
23-32 reference(s)		 Quark and gluon structure of a nucleon
24-31 reference(s)
The Solar System with a dark blue virtual planet -virtual planet point of view-
25-31 reference(s)		 Tridimensional display of the dynamics of the bidimensional John Conway's life game
26-31 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
27-30 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
28-30 reference(s)
The Bonan-Jeener's 12-bottle before a paradoxal field
29-30 reference(s)		 Artistic view of the Big Bang
30-29 reference(s)		 Along the border of the Mandelbrot set
31-29 reference(s)		 The Solar System with a dark blue virtual planet -heliocentric point of view-
32-29 reference(s)
From Pluto to the Sun (non linear scales)
33-29 reference(s)		 Foggy Monument Valley
34-28 reference(s)		 The trajectories of bidimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to a vertical field of gravity
35-27 reference(s)		 Electron-positron scattering
36-27 reference(s)
Intertwining
37-25 reference(s)		 The Möbius strip
38-25 reference(s)		 The Bonan-Jeener's 12-bottle before a paradoxal field
39-25 reference(s)		 Quantum vacuum fluctuations
40-24 reference(s)
Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
41-23 reference(s)		 Mountains at sunrise
42-23 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
43-23 reference(s)		 Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
44-23 reference(s)
Autostereogram with an hidden volcano
45-22 reference(s)		 Quark and gluon structure of a nucleon
46-22 reference(s)		 Rotation about the X axis of the Lorenz attractor
47-22 reference(s)		 The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
48-22 reference(s)
Jean-François COLONNA (on 11/17/1994)with its fractal mountains
49-22 reference(s)		 The tridimensional John Conway's life game with random initial conditions -24% of occupied cells-
50-21 reference(s)		 Untitled 0144
51-20 reference(s)		 A 'fractal plane' with overhangings defined by means of three bidimensional fields
52-20 reference(s)
The Birth of the Universe
53-20 reference(s)		 Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
54-20 reference(s)		 Quantum vacuum fluctuations
55-19 reference(s)		 Tridimensional visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
56-19 reference(s)
Recursive intertwining
57-18 reference(s)		 Paradoxal Monument Valley at sunset
58-18 reference(s)		 The tridimensional John Conway's life game with random initial conditions -24% of occupied cells-
59-18 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
60-17 reference(s)
Animation of a sunrise on mountains
61-17 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
62-17 reference(s)		 Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
63-17 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
64-17 reference(s)
Recursive intertwining
65-16 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')transformed using the tridimensional life game -tridimensional cross-section-
66-16 reference(s)		 Tridimensional display of the dynamics of the bidimensional John Conway's life game
67-16 reference(s)		 Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold that can also be viewed as a set of 4x3 stereograms
68-16 reference(s)
Beautiful self-similarity
69-15 reference(s)		 Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
70-15 reference(s)		 The Syracuse conjecture for U(0)={1,2,3,4,...,262144}
71-15 reference(s)		 Alien
72-15 reference(s)
Fractal structure of a nucleon
73-15 reference(s)		 An Archimedes spiral displaying 1000 numbers
74-15 reference(s)		 From Pluto to the Sun -extrapolation 1- (non linear scales)
75-15 reference(s)		 Different modes of representation of a tridimensional cross-section of a Quaternionic Julia set
76-15 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
77-15 reference(s)		 Tridimensional display of the dynamics of the bidimensional John Conway's life game
78-15 reference(s)		 Artistic view of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0) -a Tribute to José Hernández- -tridimensional cross-section-
79-15 reference(s)		 A shell (Jeener surface 1)in motion
80-15 reference(s)
The Jeener-Klein triple bottle
81-15 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
82-15 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
83-14 reference(s)		 Intertwining
84-14 reference(s)
Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
85-14 reference(s)		 Foggy Monument Valley
86-14 reference(s)		 Cloudy Monument Valley
87-14 reference(s)		 Botticelli anomaly on the Moon
88-14 reference(s)
Monument Valley at sunrise
89-14 reference(s)		 Untitled 0137 -'Jour de Lenteur', a Tribute to Yves Tanguy-
90-14 reference(s)		 From Pluto to the Sun (linear scales)
91-14 reference(s)		 Computation of the Lorenz attractor on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
92-14 reference(s)
Tridimensional display of the dynamics of the bidimensional John Conway's life game
93-14 reference(s)		 Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
94-14 reference(s)		 Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
95-13 reference(s)		 The random walk of photons escaping the Sun
96-13 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
97-13 reference(s)		 True colors autostereogram of a fractal landscape
98-13 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
99-13 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
100-13 reference(s)
Hypercube
101-13 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
102-12 reference(s)		 Fractal diffusion front in a bidimensional medium obtained by means of identical interacting particles
103-12 reference(s)		 The generalized Ulam spiral
104-12 reference(s)
The Eratosthene sieve displaying 100x100 numbers
105-12 reference(s)		 An Archimedes spiral displaying 100 numbers
106-12 reference(s)		 Paradoxal Monument Valley at sunset
107-12 reference(s)		 The same bidimensional scalar field displayed with 4 different color palettes
108-12 reference(s)
A set of 4x3 stereograms of a close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
109-12 reference(s)		 Tridimensional visualization of the Mandelbrot set with mapping of the arguments
110-12 reference(s)		 Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
111-12 reference(s)		 Untitled 0146
112-12 reference(s)
The tridimensional John Conway's life game with random initial conditions -1.6% of occupied cells-
113-12 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
114-12 reference(s)		 Intertwining based on the geometry of the sphere
115-12 reference(s)		 Generation of the 63x63 first Conway's surreal complex numbers
116-11 reference(s)
Autostereogram with an hidden volcano
117-11 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
118-11 reference(s)		 The Eratosthene sieve displaying 10x10 numbers
119-11 reference(s)		 An arbitrary surface (Jeener surface 2)in motion
120-11 reference(s)
A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
121-11 reference(s)		 The tridimensional John Conway's life game with random initial conditions -23% of occupied cells-
122-11 reference(s)		 The tridimensional John Conway's life game with random initial conditions -23% of occupied cells-
123-11 reference(s)		 Tridimensional fractal structure
124-11 reference(s)
The snake swallows its own tail
125-11 reference(s)		 LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
126-11 reference(s)		 Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
127-10 reference(s)		 Bidimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
128-10 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
868 reference(s)		 2-An2000.01.Fra
510 reference(s)
3-AVirtualSpaceTimeTravelMachine.Ang
417 reference(s)		 4-help.
397 reference(s)
5-MonodimensionalCellularAutomata.01.Fra
351 reference(s)		 6-Fractal.01
343 reference(s)
7-FloatingPointNumbers.01.Ang
306 reference(s)		 8-Galerie_GeneralitiesVisualization.FV
292 reference(s)
9-Galerie_DeterministicFractalGeometry.FV
291 reference(s)		 10-Galerie_ArtisticCreation.FV
271 reference(s)
11-FloatingPointNumbers.01.Fra
265 reference(s)		 12-AVirtualSpaceTimeTravelMachine.Fra
259 reference(s)
13-AQuoiServentLesMathematiques.01
254 reference(s)		 14-ImagesDuVirtuel.01.Fra.FV
245 reference(s)
15-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
240 reference(s)		 16-MathematiquesPhysiqueFractales.02
231 reference(s)
17-Galerie_NewPictures.FV
230 reference(s)		 18-FaireDeLaRecherche.01.vv
230 reference(s)
19-copyright.01.
229 reference(s)		 20-Galerie_ArtAndScience.FV
228 reference(s)
21-NDimensionalDeterministicFractalSets.01.Ang
227 reference(s)		 22-GenieLogiciel_VisualisationScientifique.01.vv
226 reference(s)
23-mail.01.vv
224 reference(s)		 24-SurfaceProjector.01.Fra
219 reference(s)
25-NDimensionalDeterministicFractalSets.01.Fra
216 reference(s)		 26-Stereogrammes_AutoStereogrammes.01
215 reference(s)
27-Galerie_NumberTheory.FV
215 reference(s)		 28-ExpV_VirE.11
215 reference(s)
29-Galerie_ParticleSystems.FV
211 reference(s)		 30-Galerie_QuantumMechanics.FV
209 reference(s)
31-SurfaceProjector.01.Ang
204 reference(s)		 32-AnimFractal.01.
203 reference(s)
33-MonodimensionalCellularAutomata.01.Ang
201 reference(s)		 34-AProposSite.01.Fra
201 reference(s)
35-fractal.01
197 reference(s)		 36-RealNumbers.01.Fra
197 reference(s)
37-NatureDesMathematiques.01.vv.Fra
197 reference(s)		 38-Galerie_CelestialMechanics.FV
197 reference(s)
39-Autostereograms.01.
197 reference(s)		 40-Fractal.11
194 reference(s)
41-Informations_AboutPicturesAnimationsAndFiles.01.Ang
193 reference(s)		 42-EntrelacsIntertwinings.01.Fra
193 reference(s)
43-Galerie_DeterministicChaos.FV
191 reference(s)		 44-infinity.01.vv
190 reference(s)
45-EntrelacsIntertwinings.01.Ang
190 reference(s)		 46-DieuScience.01.Fra
190 reference(s)
47-aquoiserventlesmathematiques.01
189 reference(s)		 48-present.01.
188 reference(s)
49-Kepler.02.
188 reference(s)		 50-catalogue.11
183 reference(s)
51-OrdinateurMathematiquesArt.01.Fra
183 reference(s)		 52-Galerie_Astrophysics.FV
182 reference(s)
53-IllusionConnaissance.02
181 reference(s)		 54-ImpossibleStructures.01.Fra
179 reference(s)
55-ManyChaos.01.Ang
176 reference(s)		 56-GenieLogiciel.01.Fra
174 reference(s)
57-ExpV_VirE.Ang
173 reference(s)		 58-infinity.02.vv
172 reference(s)
59-ImpossibleStructures.01.Ang
172 reference(s)		 60-subject.01.
171 reference(s)
61-Galerie_TextureSynthesis.FV
171 reference(s)		 62-Galerie_FluidMechanics.FV
171 reference(s)
63-VirtualChaos.01.Fra
170 reference(s)		 64-Galerie_SignalProcessing.FV
170 reference(s)
65-OrdinateursEtCalculs.01.Fra
169 reference(s)		 66-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
169 reference(s)
67-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
167 reference(s)		 68-RemarquesCerveau.01
165 reference(s)
69-MathematiquesModeleOutilArtiste.02.Ang
164 reference(s)		 70-VisitesGaleriesEnfouies.01.Fra
162 reference(s)
71-Spheres.01
162 reference(s)		 72-NombresEtLumiere.01.vv.Fra
162 reference(s)
73-Galerie_BestOf.FV
162 reference(s)		 74-AvantPropos.01.Fra
162 reference(s)
75-PatrimoineHumanite.02.Fra
161 reference(s)		 76-Galerie_SensitivityToRoundingOffErrors.FV
160 reference(s)
77-LOG_xiMc.11
159 reference(s)		 78-AvantPropos.01.Ang
158 reference(s)
79-fairedelarecherche.01.vv
157 reference(s)		 80-create.03.
157 reference(s)
81-ManyChaos.01.Fra
157 reference(s)		 82-ExpV_VirE.Fra
157 reference(s)
83-VisitesGaleriesEnfouies.01.Ang
155 reference(s)		 84-PerteDeLAssociativite.01
155 reference(s)
85-MathematiquesEtCinematographe.01.vv
155 reference(s)		 86-EnsembleDesGaleriesFractales.DIAPO.0001
153 reference(s)
87-ImagesDuVirtuel.01.Fra
152 reference(s)		 88-QuelquesQuestionsSurLaRecherche.01.Fra
151 reference(s)
89-OrdinateursEtCalculs.01.Ang
151 reference(s)		 90-HommageBenoitMandelbrot.21
151 reference(s)
91-Fractal.02
151 reference(s)		 92-Vcatalogue.11
147 reference(s)
93-MathematiquesEtRepresentations.01.vv.Ang
147 reference(s)		 94-PerteDeLAssociativite.01.MUL3
146 reference(s)
95-EnsembleDesGaleries.DIAPO.0001
145 reference(s)		 96-VirtualChaos.01.Ang
144 reference(s)
97-Informations_AboutPicturesAnimationsAndFiles.01.Fra
143 reference(s)		 98-An2000.02.Fra
143 reference(s)
99-ExpV_VirE.21
142 reference(s)		 100-An2000.01.Ang
142 reference(s)
101-Commentaires_DefinitionComplexes.01
141 reference(s)		 102-real.01.vv.
140 reference(s)
103-demo_14.FV
140 reference(s)		 104-PerteDeLAssociativite.01.ADD3
138 reference(s)
105-ExpV_VirE.01.Fra
138 reference(s)		 106-MathematiquesPhysiqueFractales.01
137 reference(s)
107-ArtScience.11.Fra
137 reference(s)		 108-VisSci_SciVis.01
136 reference(s)
109-Informations_GoodNewsAndBadNews.01.Fra
136 reference(s)		 110-Commentaires_DefinitionTransformeeDeFourier.01
135 reference(s)
111-Commentaires_DefinitionOctonions.01
135 reference(s)		 112-AQuoiServentLesMathematiques.03
135 reference(s)
113-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
134 reference(s)		 114-Commentaires_ProblemeDesNAimants.01
134 reference(s)
115-hydrogene.61.K.
133 reference(s)		 116-An2000.04.Fra
133 reference(s)
117-Commentaires_ProblemeDesNCorps.01
132 reference(s)		 118-An2000.05.Fra
132 reference(s)
119-PresidentRepublique.01.Fra
130 reference(s)		 120-Galerie_QuantumMechanics.DIAPO.0002
130 reference(s)
121-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
130 reference(s)		 122-Commentaires_KleinBottle.01
130 reference(s)
123-ArtScience.01
130 reference(s)		 124-PremierMinistre.01.Fra
129 reference(s)
125-MonumentValley.01.Ang
129 reference(s)		 126-MathematiquesEtRepresentations.01.vv.Fra
129 reference(s)
127-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0001
129 reference(s)		 128-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
129 reference(s)

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




Copyright © Jean-François COLONNA, 2012-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2012-2023.