Monthly Best Of on 07/28/2013




A tridimensional interpolation between a fractal structure and a cubic mesh

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 07/28/2013 and last updated on 10/03/2024 17:02:38 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The generalized Ulam spiral
1-194 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-182 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
3-178 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
4-148 reference(s)
Artistic view of the prime numbers
5-120 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
6-119 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
7-115 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
8-108 reference(s)
Happy new year 2000
9-103 reference(s)		The tridimensional Ising Model with 2-state spins, temperature=0.2, random initial conditions and an increasing number of iterations -from 100 to 4000-
10-76 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
11-76 reference(s)		Zoom in on the von Koch curve
12-75 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
13-75 reference(s)		Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
14-75 reference(s)		Monument Valley à la David Hockney
15-74 reference(s)		The random walk of photons escaping the Sun
16-70 reference(s)
Autostereogram with an hidden volcano
17-63 reference(s)		Autostereogram with an hidden volcano
18-63 reference(s)		The random walk of photons escaping the Sun
19-63 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
20-63 reference(s)
Tridimensional Hilbert Curve -iteration 3-
21-61 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
22-57 reference(s)		A tridimensional cubic mesh defined by means of three tridimensional fields and transformed using the tridimensional life game
23-55 reference(s)		The Jeener-Klein triple bottle
24-53 reference(s)
Autostereogram with an hidden volcano
25-51 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
26-50 reference(s)		Autostereogram with an hidden ring and ghost bows
27-47 reference(s)		Quark and gluon structure of a nucleon
28-45 reference(s)
The Lorenz attractor
29-43 reference(s)		Artistic variation on a tridimensional fractal cross -iteration 2-
30-41 reference(s)		Mountains at sunrise
31-40 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
32-40 reference(s)
Artistic variation on a tridimensional fractal cross -iteration 4-
33-40 reference(s)		The Ulam spiral displaying 2025 numbers
34-38 reference(s)		Quantum vacuum fluctuations
35-37 reference(s)		Tridimensional fractal cross -iteration 5-
36-37 reference(s)
The generalized Ulam spiral displaying 100 numbers
37-35 reference(s)		The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
38-35 reference(s)		Autostereogram with an hidden volcano
39-34 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
40-34 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
41-34 reference(s)		Autostereogram with an hidden volcano
42-33 reference(s)		From Pluto to the Sun (non linear scales)
43-33 reference(s)		Quantum vacuum fluctuations
44-32 reference(s)
Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
45-32 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
46-32 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
47-32 reference(s)		Quantum vacuum fluctuation dynamics
48-31 reference(s)
An aperiodic Penrose tiling of the Golden Decagon
49-31 reference(s)		Hypercube
50-31 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
51-31 reference(s)		True colors autostereogram of a fractal landscape
52-30 reference(s)
Mountains at sunrise
53-30 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
54-30 reference(s)		Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
55-30 reference(s)		A set of 4x3 stereograms of a fractal hypercube
56-29 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
57-28 reference(s)		A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
58-28 reference(s)		From the infinitely small to the infinitely big
59-28 reference(s)		The generalized Ulam spiral displaying 1024 numbers
60-27 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
61-27 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
62-27 reference(s)		Fractal piano keyboard
63-26 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
64-26 reference(s)
Quark and gluon structure of a nucleon
65-26 reference(s)		Artistic view of the Big Bang
66-25 reference(s)		A quaternionic Julia set -tridimensional cross-section-
67-25 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
68-25 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
69-24 reference(s)		The Scream -a Tribute to Edvard Munch-
70-24 reference(s)		Mystery cliffs at sunrise
71-24 reference(s)		Mystery mountain at sunrise
72-24 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
73-24 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
74-23 reference(s)		Tridimensional fractal structure -the space-time foam?-
75-23 reference(s)		Various bidimensional fractal crosses
76-23 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
77-23 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
78-23 reference(s)		A tridimensional Möbius-like manifold defined by means of three tridimensional fields
79-22 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
80-22 reference(s)
Anaglyph -blue=right, red=left- of an hypercube
81-22 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
82-22 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
83-22 reference(s)		Tridimensional Mondrian -a Tribute to Piet Mondrian-
84-21 reference(s)
The Möbius strip
85-21 reference(s)		Tridimensional visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
86-21 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
87-21 reference(s)		Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
88-21 reference(s)
Sixteen interlaced torus
89-21 reference(s)		The Bonan-Jeener-Klein triple bottle
90-21 reference(s)		Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
91-20 reference(s)		Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
92-20 reference(s)
Foggy Monument Valley
93-20 reference(s)		Quark and gluon structure of the meson
94-20 reference(s)		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
95-20 reference(s)		Rotation about the X axis of the Lorenz attractor
96-20 reference(s)
The Birth of the Universe
97-20 reference(s)		Sixteen interlaced fractal torus
98-20 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
99-20 reference(s)		An aperiodic Penrose tiling of the plane
100-19 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
101-19 reference(s)		The generalized Ulam spiral displaying 2025 numbers
102-19 reference(s)		Sunny Monument Valley
103-19 reference(s)		Animation of a sunrise on mountains
104-19 reference(s)
Untitled 0137 -'Jour de Lenteur', a Tribute to Yves Tanguy-
105-19 reference(s)		Artistic view of a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
106-19 reference(s)		A fractal aperiodic Penrose tiling
107-19 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
108-19 reference(s)
16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
109-18 reference(s)		Along the border of the Mandelbrot set
110-18 reference(s)		Fractal natural form
111-18 reference(s)		An Archimedes spiral displaying 1000 numbers
112-18 reference(s)
Botticelli anomaly on the Moon
113-18 reference(s)		Autostereogram of Monument Valley
114-18 reference(s)		Fractal synthesis of mountains with vegetation and stormy clouds
115-18 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
116-18 reference(s)
Synthesis of bidimensional geometrical textures
117-18 reference(s)		A pyramidal Menger Sponge computed by means of an 'Iterated Function System' -IFS-
118-18 reference(s)		La Génèse (1974)
119-18 reference(s)		A fractal Klein bottle
120-18 reference(s)
Texture animation by means of the generalized Fourier filtering process
121-18 reference(s)		Fractal diffusion front in a bidimensional medium obtained by means of a random walk process
122-18 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
123-18 reference(s)		Intertwining
124-17 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
125-17 reference(s)		Sixteen interlaced torus
126-17 reference(s)		A 'fractal plane' with overhangings defined by means of three bidimensional fields
127-17 reference(s)		Artistic variation on the generalized Ulam spiral displaying 81 numbers
128-17 reference(s)




2-The 128 most referenced Pages (*):

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



1-catalogue.11
2005 reference(s)		2-demo_14
425 reference(s)
3-An2000.01.Fra
358 reference(s)		4-help.
290 reference(s)
5-AVirtualSpaceTimeTravelMachine.Ang
267 reference(s)		6-Fractal.01
232 reference(s)
7-UlamSpiral.01.Fra
230 reference(s)		8-RealNumbers.01.Fra
215 reference(s)
9-FaireDeLaRecherche.01.vv
215 reference(s)		10-FloatingPointNumbers.01.Fra
214 reference(s)
11-Stereogrammes_AutoStereogrammes.01
210 reference(s)		12-AQuoiServentLesMathematiques.01
202 reference(s)
13-mail.01.vv
189 reference(s)		14-GenieLogiciel_VisualisationScientifique.01.vv
186 reference(s)
15-Galerie_DeterministicFractalGeometry.FV
186 reference(s)		16-fractal.01
182 reference(s)
17-UlamSpiral.01.Ang
181 reference(s)		18-MonodimensionalCellularAutomata.01.Fra
179 reference(s)
19-copyright.01.
175 reference(s)		20-ComplexiteStructurelle.01
175 reference(s)
21-fairedelarecherche.01.vv
167 reference(s)		22-Galerie_ArtisticCreation.FV
167 reference(s)
23-MathematiquesPhysiqueFractales.02
162 reference(s)		24-Galerie_NumberTheory.FV
162 reference(s)
25-Informations_AboutPicturesAnimationsAndFiles.01.Ang
160 reference(s)		26-Galerie_NewPictures.FV
159 reference(s)
27-Galerie_ArtAndScience.FV
159 reference(s)		28-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
157 reference(s)
29-AVirtualSpaceTimeTravelMachine.Fra
157 reference(s)		30-AProposSite.01.Fra
155 reference(s)
31-Autostereograms.01.
154 reference(s)		32-SurfaceProjector.01.Ang
150 reference(s)
33-GoldenTriangle.01.Fra
149 reference(s)		34-Galerie_GeneralitiesVisualization.FV
149 reference(s)
35-realnumbers
148 reference(s)		36-GenieLogiciel.01.Fra
148 reference(s)
37-AnimFractal.01.
148 reference(s)		38-Galerie_QuantumMechanics.FV
147 reference(s)
39-ImagesDuVirtuel.01.Fra.FV
146 reference(s)		40-ExpV_VirE.11
146 reference(s)
41-demo
145 reference(s)		42-an2000
145 reference(s)
43-NatureDesMathematiques.01.vv.Fra
145 reference(s)		44-ManyChaos.01.Fra
145 reference(s)
45-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
145 reference(s)		46-Kepler.02.
144 reference(s)
47-IllusionConnaissance.02
144 reference(s)		48-GoldenTriangle.01.Ang
144 reference(s)
49-Galerie_DeterministicChaos.FV
144 reference(s)		50-infinity.01.vv
143 reference(s)
51-SurfaceProjector.01.Fra
143 reference(s)		52-NDimensionalDeterministicFractalSets.01.Ang
142 reference(s)
53-MathematiquesPhysiqueFractales.22
142 reference(s)		54-ManyChaos.01.Ang
142 reference(s)
55-nombresreels
141 reference(s)		56-logiciel
141 reference(s)
57-genielogiciel
141 reference(s)		58-demo14
140 reference(s)
59-demo.14
140 reference(s)		60-Galerie_CelestialMechanics.FV
140 reference(s)
61-Fractal.11
140 reference(s)		62-ExpV_VirE.Ang
139 reference(s)
63-DieuScience.01.Fra
138 reference(s)		64-NDimensionalDeterministicFractalSets.01.Fra
137 reference(s)
65-Galerie_ParticleSystems.FV
135 reference(s)		66-FloatingPointNumbers.01.Ang
135 reference(s)
67-VisitesGaleriesEnfouies.01.Ang
134 reference(s)		68-OrdinateursEtCalculs.01.Fra
134 reference(s)
69-ImpossibleStructures.01.Ang
134 reference(s)		70-subject.01.
133 reference(s)
71-NombresEtLumiere.01.vv.Fra
132 reference(s)		72-ImpossibleStructures.01.Fra
132 reference(s)
73-Galerie_BestOf.FV
132 reference(s)		74-ImagesDuVirtuel.01.Fra
131 reference(s)
75-EntrelacsIntertwinings.01.Fra
131 reference(s)		76-create.03.
130 reference(s)
77-MonodimensionalCellularAutomata.01.Ang
130 reference(s)		78-ExpV_VirE.01.Ang
130 reference(s)
79-infinity.02.vv
129 reference(s)		80-RemarquesCerveau.01
129 reference(s)
81-OrdinateursEtCalculs.01.Ang
129 reference(s)		82-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
129 reference(s)
83-Galerie_TextureSynthesis.FV
129 reference(s)		84-Galerie_SensitivityToRoundingOffErrors.FV
129 reference(s)
85-Fractal.03
129 reference(s)		86-AvantPropos.01.Fra
129 reference(s)
87-PatrimoineHumanite.02.Fra
128 reference(s)		88-Galerie_SignalProcessing.FV
128 reference(s)
89-LOG_xiMc.11
127 reference(s)		90-Galerie_Astrophysics.FV
126 reference(s)
91-VisitesGaleriesEnfouies.01.Fra
123 reference(s)		92-OrdinateurMathematiquesArt.01.Fra
123 reference(s)
93-MorePages.
123 reference(s)		94-Galerie_FluidMechanics.FV
123 reference(s)
95-AvantPropos.01.Ang
123 reference(s)		96-Vcatalogue.11
122 reference(s)
97-Galerie_Tributes.FV
122 reference(s)		98-EntrelacsIntertwinings.01.Ang
122 reference(s)
99-Fractal.02
121 reference(s)		100-ExpV_VirE.21
121 reference(s)
101-present.01.
120 reference(s)		102-MathematiquesModeleOutilArtiste.02.Ang
120 reference(s)
103-VirtualChaos.01.Ang
119 reference(s)		104-ExpV_VirE.01.Fra
119 reference(s)
105-Spheres.01
118 reference(s)		106-PerteDeLAssociativite.01
118 reference(s)
107-MathematiquesPhysiqueFractales.01
118 reference(s)		108-VirtualChaos.01.Fra
117 reference(s)
109-LumiereVirtuelleParadoxale.01
117 reference(s)		110-EnsembleDesGaleries.DIAPO.0001
117 reference(s)
111-AQuoiServentLesMathematiques.02
117 reference(s)		112-MonumentValley.01.Ang
115 reference(s)
113-MathematiquesEtRepresentations.01.vv.Ang
114 reference(s)		114-Informations_GoodNewsAndBadNews.01.Fra
114 reference(s)
115-Commentaires_DefinitionComplexes.01
114 reference(s)		116-Commentaires_ModeleIsingBiDimensionnel.01
113 reference(s)
117-EnsembleDesGaleriesFractales.DIAPO.0001
112 reference(s)		118-Commentaires_NKleinBottle.01
112 reference(s)
119-Informations_AboutPicturesAnimationsAndFiles.01.Fra
111 reference(s)		120-VisSci_SciVis.02
110 reference(s)
121-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
110 reference(s)		122-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
110 reference(s)
123-Commentaires_ProblemeDesNCorps.01
110 reference(s)		124-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
109 reference(s)
125-Commentaires_DefinitionTransformeeDeFourier.01
109 reference(s)		126-An2000.04.Fra
109 reference(s)
127-An2000.01.Ang
109 reference(s)		128-ExpV_VirE.Fra
108 reference(s)

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Copyright © Jean-François COLONNA, 2013-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2013-2024.