Monthly Best Of on 04/28/2013




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 04/28/2013 and last updated on 11/14/2023 17:48:16 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Monument Valley à la David Hockney
1-567 reference(s)		 The random walk of photons escaping the Sun
2-178 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-178 reference(s)		 Happy new year 2000
4-168 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
5-147 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
6-134 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
7-109 reference(s)		 Sixteen interlaced torus
8-88 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
9-77 reference(s)		 From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
10-74 reference(s)		 Zoom in on the von Koch curve
11-72 reference(s)		 Autostereogram with an hidden volcano
12-71 reference(s)
Artistic view of the prime numbers
13-69 reference(s)		 The random walk of photons escaping the Sun
14-66 reference(s)		 Autostereogram with an hidden volcano
15-65 reference(s)		 The generalized Ulam spiral
16-64 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
17-64 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
18-62 reference(s)		 Autostereogram with an hidden volcano
19-58 reference(s)		 Tridimensional Hilbert Curve -iteration 3-
20-56 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
21-54 reference(s)		 A tridimensional cubic mesh defined by means of three tridimensional fields and transformed using the tridimensional life game
22-52 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)
23-51 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
24-49 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
25-49 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
26-44 reference(s)		 Autostereogram with an hidden volcano
27-42 reference(s)		 From the infinitely small to the infinitely big
28-42 reference(s)
Autostereogram with an hidden ring and ghost bows
29-40 reference(s)		 The Scream -a Tribute to Edvard Munch-
30-40 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
31-40 reference(s)		 Autostereogram with an hidden volcano
32-37 reference(s)
Sixty-four interlaced fractal torus
33-37 reference(s)		 Quantum vacuum fluctuations
34-36 reference(s)		 The Lorenz attractor
35-35 reference(s)		 Autostereogram of Monument Valley
36-33 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
37-33 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
38-31 reference(s)		 From Pluto to the Sun (non linear scales)
39-31 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
40-31 reference(s)
A 'fractal plane' with overhangings defined by means of three bidimensional fields
41-30 reference(s)		 True colors autostereogram of a fractal landscape
42-30 reference(s)		 Anaglyph -blue=right, red=left- of an hypercube
43-30 reference(s)		 Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
44-29 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
45-29 reference(s)		 Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
46-29 reference(s)		 A fractal aperiodic Penrose tiling
47-29 reference(s)		 Along the border of the Mandelbrot set
48-28 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
49-28 reference(s)		 Tridimensional display of the inflationary Universe
50-28 reference(s)		 A fractal-fractal tree
51-28 reference(s)		 Sixteen interlaced fractal torus
52-28 reference(s)
The Jeener-Klein triple bottle
53-28 reference(s)		 A perfect bidimensional fractal tree and the self-similarity
54-27 reference(s)		 Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
55-27 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
56-26 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-
57-26 reference(s)		 Universe or Multiverse -The fractal Universe-?
58-25 reference(s)		 Quark and gluon structure of a nucleon
59-25 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
60-25 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
61-25 reference(s)		 Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
62-24 reference(s)		 Hypercube
63-24 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
64-24 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
65-24 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
66-23 reference(s)		 The generalized Ulam spiral displaying 100 numbers
67-23 reference(s)		 Mountains at sunrise
68-22 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
69-22 reference(s)		 A tridimensionally distorded -by means of a fractal bidimensional height field- aperiodic Penrose tiling of the Golden Decagon
70-21 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
71-21 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
72-21 reference(s)
Tridimensional visualization of the Mandelbrot set with mapping of the arguments -the Mont Saint Michel-
73-21 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
74-21 reference(s)		 Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
75-20 reference(s)		 Artistic view of the Big Bang
76-20 reference(s)
Paradoxal Monument Valley at sunset
77-20 reference(s)		 Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
78-20 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
79-19 reference(s)		 An aperiodic Penrose tiling of the plane
80-19 reference(s)
Autostereogram with an hidden volcano
81-19 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
82-19 reference(s)		 Bidimensional Hilbert Curve -iteration 4-
83-19 reference(s)		 A shell (Jeener surface 1)in motion
84-19 reference(s)
Quantum vacuum fluctuations
85-18 reference(s)		 The generalized Ulam spiral displaying 1024 numbers
86-18 reference(s)		 Mystery cliffs at sunrise
87-18 reference(s)		 Rotation about the Y (vertical)axis of the CMAP logo that can also be viewed as a set of 4x3 stereograms
88-18 reference(s)
The Bonan-Jeener-Klein triple bottle
89-18 reference(s)		 A perfect bidimensional fractal tree and the self-similarity
90-17 reference(s)		 Recursive intertwining
91-17 reference(s)		 Mystery mountain at sunrise
92-17 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
93-17 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
94-17 reference(s)		 Tridimensional fractal structure -the space-time foam?-
95-17 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
96-17 reference(s)
Rotation about the Y (vertical)axis of the Jeener-Klein triple bottle that can also be viewed as a set of 4x3 stereograms
97-17 reference(s)		 Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
98-17 reference(s)		 Intertwining
99-16 reference(s)		 Quaternionic butterfly with extended arithmetics -a Tribute to Laurent Schwartz-
100-16 reference(s)
A demonstration of the Pythagoras' theorem
101-16 reference(s)		 A tridimensional manifold defined by means of three tridimensional fields
102-16 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
103-16 reference(s)		 A fractal hypercube
104-16 reference(s)
The Jeener-Klein triple bottle
105-16 reference(s)		 Two multiplexed autostereograms by means of a pi/2 rotation
106-15 reference(s)		 A demonstration of the Pythagoras' theorem
107-15 reference(s)		 From the Möbius strip to the Klein bottle
108-15 reference(s)
Botticelli anomaly on the Moon
109-15 reference(s)		 The Solar System with a dark blue virtual planet -virtual planet point of view-
110-15 reference(s)		 The actual Solar System viewed during 243 years from a dark blue virtual planet -this last one approximately belongs to the plane of Pluto and its distance from the Sun equals the one of Uranus-
111-15 reference(s)		 Autostereogram -using periodical light clouds as desguise texture- with a hidden gaussian mountain
112-15 reference(s)
Three hexagons and the twenty-eight first strictly positive integer numbers -nine of them being prime numbers-
113-15 reference(s)		 Fractal Notre-Dame de la Garde, Marseilles
114-15 reference(s)		 A set of 4x3 stereograms of a fractal Klein bottle
115-15 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
116-15 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
117-14 reference(s)		 A tridimensional Möbius-like manifold defined by means of three tridimensional fields
118-14 reference(s)		 Monument Valley à la David Hockney
119-14 reference(s)		 A set of 4x3 stereograms of a few Babel Towers
120-14 reference(s)
Quark and gluon structure of a nucleon
121-14 reference(s)		 Artistic view of a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
122-14 reference(s)		 The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
123-14 reference(s)		 Fractal Notre-Dame de la Garde, Marseilles
124-14 reference(s)
A fractal sphere
125-14 reference(s)		 Triple impossible staircase painting a paradoxal structure
126-14 reference(s)		 An aperiodic Penrose tiling of the plane
127-13 reference(s)		 Untitled 0180
128-13 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
531 reference(s)		 2-An2000.01.Fra
396 reference(s)
3-AQuoiServentLesMathematiques.01
339 reference(s)		 4-help.
315 reference(s)
5-FloatingPointNumbers.01.Fra
311 reference(s)		 6-Stereogrammes_AutoStereogrammes.01
294 reference(s)
7-Fractal.01
278 reference(s)		 8-FaireDeLaRecherche.01.vv
259 reference(s)
9-AVirtualSpaceTimeTravelMachine.Ang
257 reference(s)		 10-RealNumbers.01.Fra
227 reference(s)
11-MathematiquesPhysiqueFractales.02
204 reference(s)		 12-MathematiquesPhysiqueFractales.22
195 reference(s)
13-mail.01.vv
192 reference(s)		 14-NatureDesMathematiques.01.vv.Fra
189 reference(s)
15-MonodimensionalCellularAutomata.01.Fra
189 reference(s)		 16-GenieLogiciel_VisualisationScientifique.01.vv
188 reference(s)
17-Galerie_DeterministicFractalGeometry.FV
187 reference(s)		 18-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
185 reference(s)
19-catalogue.11
184 reference(s)		 20-ExpV_VirE.11
183 reference(s)
21-Galerie_NumberTheory.FV
182 reference(s)		 22-Galerie_GeneralitiesVisualization.FV
182 reference(s)
23-Autostereograms.01.
181 reference(s)		 24-Galerie_ArtisticCreation.FV
180 reference(s)
25-copyright.01.
178 reference(s)		 26-Galerie_ArtAndScience.FV
176 reference(s)
27-UlamSpiral.01.Ang
171 reference(s)		 28-NDimensionalDeterministicFractalSets.01.Ang
168 reference(s)
29-AProposSite.01.Fra
168 reference(s)		 30-FloatingPointNumbers.01.Ang
166 reference(s)
31-SurfaceProjector.01.Ang
165 reference(s)		 32-AVirtualSpaceTimeTravelMachine.Fra
165 reference(s)
33-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
164 reference(s)		 34-GenieLogiciel.01.Fra
164 reference(s)
35-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
162 reference(s)		 36-NDimensionalDeterministicFractalSets.01.Fra
161 reference(s)
37-infinity.01.vv
160 reference(s)		 38-GoldenTriangle.01.Fra
160 reference(s)
39-SurfaceProjector.01.Fra
158 reference(s)		 40-Fractal.11
157 reference(s)
41-ExpV_VirE.21
157 reference(s)		 42-DieuScience.01.Fra
157 reference(s)
43-Galerie_QuantumMechanics.FV
155 reference(s)		 44-EntrelacsIntertwinings.01.Fra
155 reference(s)
45-OrdinateurMathematiquesArt.01.Fra
154 reference(s)		 46-NombresEtLumiere.01.vv.Fra
154 reference(s)
47-aquoiserventlesmathematiques.01
153 reference(s)		 48-Galerie_DeterministicChaos.FV
152 reference(s)
49-AnimFractal.01.
152 reference(s)		 50-Galerie_CelestialMechanics.FV
151 reference(s)
51-Galerie_Astrophysics.FV
151 reference(s)		 52-EntrelacsIntertwinings.01.Ang
151 reference(s)
53-VirtualChaos.01.Ang
150 reference(s)		 54-MonodimensionalCellularAutomata.01.Ang
150 reference(s)
55-Galerie_NewPictures.FV
150 reference(s)		 56-create.03.
149 reference(s)
57-RemarquesCerveau.01
149 reference(s)		 58-ImpossibleStructures.01.Ang
149 reference(s)
59-UlamSpiral.01.Fra
148 reference(s)		 60-IllusionConnaissance.02
148 reference(s)
61-Fractal.03
148 reference(s)		 62-VirtualChaos.01.Fra
147 reference(s)
63-ImpossibleStructures.01.Fra
147 reference(s)		 64-Informations_AboutPicturesAnimationsAndFiles.01.Ang
146 reference(s)
65-ImagesDuVirtuel.01.Fra.FV
146 reference(s)		 66-demo
145 reference(s)
67-OrdinateursEtCalculs.01.Fra
145 reference(s)		 68-present.01.
144 reference(s)
69-demo.14
144 reference(s)		 70-Galerie_ParticleSystems.FV
143 reference(s)
71-Galerie_BestOf.FV
143 reference(s)		 72-realnumbers
142 reference(s)
73-an2000
142 reference(s)		 74-logiciel
141 reference(s)
75-demo14
141 reference(s)		 76-nombresreels
140 reference(s)
77-infinity.02.vv
140 reference(s)		 78-genielogiciel
140 reference(s)
79-Galerie_TextureSynthesis.FV
140 reference(s)		 80-Kepler.02.
139 reference(s)
81-GoldenTriangle.01.Ang
139 reference(s)		 82-fractal.01
138 reference(s)
83-Spheres.01
138 reference(s)		 84-MathematiquesEtCinematographe.01.vv
138 reference(s)
85-subject.01.
137 reference(s)		 86-MathematiquesModeleOutilArtiste.02.Ang
137 reference(s)
87-ManyChaos.01.Fra
136 reference(s)		 88-ManyChaos.01.Ang
135 reference(s)
89-ExpV_VirE.Ang
134 reference(s)		 90-Commentaires_ModeleIsingBiDimensionnel.01
134 reference(s)
91-AvantPropos.01.Fra
134 reference(s)		 92-MorePages.
133 reference(s)
93-LOG_xiMc.11
133 reference(s)		 94-EnsembleDesGaleries.DIAPO.0001
133 reference(s)
95-fairedelarecherche.01.vv
132 reference(s)		 96-OrdinateursEtCalculs.01.Ang
132 reference(s)
97-Galerie_SignalProcessing.FV
131 reference(s)		 98-VisitesGaleriesEnfouies.01.Fra
130 reference(s)
99-Galerie_FluidMechanics.FV
130 reference(s)		 100-PerteDeLAssociativite.01
129 reference(s)
101-MathematiquesPhysiqueFractales.01
129 reference(s)		 102-Galerie_SensitivityToRoundingOffErrors.FV
129 reference(s)
103-Fractal.02
129 reference(s)		 104-EnsembleDesGaleriesFractales.DIAPO.0001
129 reference(s)
105-AvantPropos.01.Ang
129 reference(s)		 106-QuelquesQuestionsSurLaRecherche.01.Fra
128 reference(s)
107-PerteDeLAssociativite.01.ADD3
128 reference(s)		 108-Informations_AboutPicturesAnimationsAndFiles.01.Fra
128 reference(s)
109-VisitesGaleriesEnfouies.01.Ang
127 reference(s)		 110-MathematiquesEtRepresentations.01.vv.Ang
125 reference(s)
111-ExpV_VirE.01.Ang
123 reference(s)		 112-Commentaires_DefinitionQuaternions.01
123 reference(s)
113-Vcatalogue.11
122 reference(s)		 114-ExpV_VirE.01.Fra
122 reference(s)
115-An2000.04.Fra
122 reference(s)		 116-PerteDeLAssociativite.01.MUL3
121 reference(s)
117-PatrimoineHumanite.02.Fra
121 reference(s)		 118-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
121 reference(s)
119-Commentaires_DefinitionComplexes.01
120 reference(s)		 120-VisSci_SciVis.02
119 reference(s)
121-ImagesDuVirtuel.01.Fra
119 reference(s)		 122-Galeries.01.vv
119 reference(s)
123-Commentaires_NKleinBottle.01
119 reference(s)		 124-AQuoiServentLesMathematiques.03
119 reference(s)
125-AQuoiServentLesMathematiques.02
119 reference(s)		 126-MonumentValley.01.Ang
118 reference(s)
127-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
118 reference(s)		 128-Commentaires_ProblemeDesNCorps.01
118 reference(s)

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




Copyright © Jean-François COLONNA, 2013-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2013-2023.