Monthly Best Of on 10/28/2015




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 10/28/2015 and last updated on 11/14/2023 17:48:52 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Tridimensional representation of a quadridimensional Calabi-Yau manifold
1-1261 reference(s)		 Bidimensional Hilbert Curve -iteration 4-
2-1081 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
3-642 reference(s)		 Hypercube
4-639 reference(s)
The random walk of photons escaping the Sun
5-430 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
6-419 reference(s)		 Tridimensional Hilbert Curve -iteration 3-
7-332 reference(s)		 Sixteen interlaced torus
8-279 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
9-258 reference(s)		 A Peano 'fractal plane' defined by means of three bidimensional fields
10-249 reference(s)		 The random walk of photons escaping the Sun
11-226 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
12-207 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
13-205 reference(s)		 Happy new year 2000
14-185 reference(s)		 Autostereogram with an hidden volcano
15-182 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
16-174 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
17-170 reference(s)		 Autostereogram with an hidden volcano
18-166 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
19-133 reference(s)		 The Jeener-Klein triple bottle
20-124 reference(s)
The Bonan-Jeener-Klein triple bottle
21-118 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
22-116 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
23-108 reference(s)		 Quantum vacuum fluctuations
24-95 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
25-92 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
26-89 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
27-86 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
28-82 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
29-79 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
30-76 reference(s)		 Sixteen interlaced fractal torus
31-75 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
32-75 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
33-74 reference(s)		 Autostereogram with an hidden volcano
34-71 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)
35-71 reference(s)		 The bidimensional John Conway's life game
36-69 reference(s)
Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
37-68 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
38-63 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
39-62 reference(s)		 Quark and gluon structure of a nucleon
40-62 reference(s)
The random walk of photons escaping the Sun
41-61 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
42-60 reference(s)		 Artistic view of the prime numbers
43-58 reference(s)		 Autostereogram with an hidden ring and ghost bows
44-51 reference(s)
A fractal hypercube
45-51 reference(s)		 The generalized Ulam spiral
46-49 reference(s)		 Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
47-48 reference(s)		 Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
48-47 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
49-46 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
50-46 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
51-46 reference(s)		 The ABC conjecture
52-46 reference(s)
Fractal natural form
53-45 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-
54-45 reference(s)		 Autostereogram with an hidden volcano
55-44 reference(s)		 Bidimensional texture animation by means of the Generalized Product
56-44 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
57-44 reference(s)		 From Mars to the Sun
58-43 reference(s)		 Tridimensional zoom in on the Mandelbrot set
59-43 reference(s)		 Fractal natural form
60-42 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
61-42 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
62-42 reference(s)		 Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
63-41 reference(s)		 Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
64-41 reference(s)
Pseudo Olympic Rings
65-41 reference(s)		 From 'geocentrism' to 'heliocentrism'
66-41 reference(s)		 The Möbius strip
67-41 reference(s)		 Bidimensional geometrical texture animation
68-40 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
69-40 reference(s)		 A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
70-40 reference(s)		 Tridimensional texture animation by means of the Generalized Product
71-40 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
72-39 reference(s)
From the infinitely small to the infinitely big
73-38 reference(s)		 The Scream -a Tribute to Edvard Munch-
74-35 reference(s)		 Tridimensional visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
75-35 reference(s)		 Rotation about the X axis of the Lorenz attractor
76-35 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
77-35 reference(s)		 A set of 4x3 stereograms of a fractal hypercube
78-35 reference(s)		 An aperiodic Penrose tiling of the plane
79-34 reference(s)		 Autostereogram with an hidden volcano
80-34 reference(s)
Tridimensional visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
81-33 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
82-33 reference(s)		 Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
83-32 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
84-32 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
85-31 reference(s)		 Autostereogram of Monument Valley
86-31 reference(s)		 True colors autostereogram of a fractal landscape
87-31 reference(s)		 The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
88-31 reference(s)
Tridimensional visualization of the Verhulst dynamics -'The Flying Dutchman', a Tribute to Richard Wagner-
89-31 reference(s)		 The Birth of the Universe
90-31 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
91-31 reference(s)		 Quark and gluon structure of a nucleon
92-30 reference(s)
Heterogeneous -tridimensional anti-gaussian field- random non linear meshing of a cube
93-30 reference(s)		 Ile de Science -a Tribute to Pierre Vasseur-
94-28 reference(s)		 A 'crumpled' cylinder defined by means of three bidimensional fields
95-27 reference(s)		 Tridimensional visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
96-27 reference(s)
Psychedelic hypercube
97-27 reference(s)		 A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
98-26 reference(s)		 Close-up on a foggy 'MandelBox' -tridimensional cross-section-
99-26 reference(s)		 A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) and with a rotation about the X axis -tridimensional cross-section-
100-26 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
101-26 reference(s)		 An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
102-25 reference(s)		 From Pluto to the Sun -extrapolation 2-
103-25 reference(s)		 Bidimensional zoom in on the Mandelbrot set
104-25 reference(s)
The Lorenz attractor
105-25 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
106-25 reference(s)		 Rotation about the Y (vertical)axis of the CMAP logo that can also be viewed as a set of 4x3 stereograms
107-25 reference(s)		 Untitled 0237
108-25 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
109-24 reference(s)		 Tridimensional visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
110-24 reference(s)		 The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
111-24 reference(s)		 Tridimensional display of the inflationary Universe
112-24 reference(s)
Tridimensional fractal structure -the space-time foam?-
113-24 reference(s)		 A shell (Jeener surface 1)in motion
114-24 reference(s)		 Heterogeneous -tridimensional anti-gaussian field- random non linear meshing of a cube
115-24 reference(s)		 Heterogeneous -tridimensional fractal field- random non linear meshing of a cube
116-24 reference(s)
The Jeener-Klein triple bottle
117-24 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
118-23 reference(s)		 Botticelli anomaly on the Moon
119-23 reference(s)		 Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
120-23 reference(s)
Quantum vacuum fluctuations
121-22 reference(s)		 Artistic view of the Big Bang
122-22 reference(s)		 The rain (or the snow)is falling
123-22 reference(s)		 Artistic view of the Schaeffer bijection
124-22 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Sun point of view-
125-22 reference(s)		 A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-'children's corner' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
126-22 reference(s)		 Tridimensional visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
127-22 reference(s)		 Tridimensional visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
128-22 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
703 reference(s)		 2-An2000.01.Fra
427 reference(s)
3-Vcatalogue.11
401 reference(s)		 4-FloatingPointNumbers.01.Fra
383 reference(s)
5-GenieLogiciel_VisualisationScientifique.01.vv
338 reference(s)		 6-Stereogrammes_AutoStereogrammes.01
325 reference(s)
7-AVirtualSpaceTimeTravelMachine.Ang
292 reference(s)		 8-help.
284 reference(s)
9-Fractal.01
277 reference(s)		 10-FaireDeLaRecherche.01.vv
260 reference(s)
11-Galerie_NumberTheory.FV
235 reference(s)		 12-MathematiquesPhysiqueFractales.02
229 reference(s)
13-RealNumbers.01.Fra
227 reference(s)		 14-Galerie_DeterministicFractalGeometry.FV
224 reference(s)
15-AQuoiServentLesMathematiques.01
207 reference(s)		 16-AVirtualSpaceTimeTravelMachine.Fra
203 reference(s)
17-mail.01.vv
201 reference(s)		 18-Galerie_QuantumMechanics.FV
200 reference(s)
19-Galerie_ArtAndScience.FV
197 reference(s)		 20-MonodimensionalCellularAutomata.01.Fra
195 reference(s)
21-UlamSpiral.01.Fra
194 reference(s)		 22-ExpV_VirE.11
194 reference(s)
23-Informations_GoodNewsAndBadNews.01.Fra
192 reference(s)		 24-AProposSite.01.Fra
192 reference(s)
25-NDimensionalDeterministicFractalSets.01.Fra
190 reference(s)		 26-MathematiquesPhysiqueFractales.22
182 reference(s)
27-Galerie_NewPictures.FV
177 reference(s)		 28-Galerie_ArtisticCreation.FV
177 reference(s)
29-Galerie_GeneralitiesVisualization.FV
176 reference(s)		 30-FloatingPointNumbers.01.Ang
175 reference(s)
31-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
172 reference(s)		 32-OrdinateursEtCalculs.01.Fra
170 reference(s)
33-MorePages.
170 reference(s)		 34-copyright.01.
169 reference(s)
35-Galerie_SignalProcessing.FV
169 reference(s)		 36-ImagesDuVirtuel.01.Fra.FV
168 reference(s)
37-SurfaceProjector.01.Ang
166 reference(s)		 38-an2000
164 reference(s)
39-NDimensionalDeterministicFractalSets.01.Ang
164 reference(s)		 40-GoldenTriangle.01.Fra
163 reference(s)
41-realnumbers
161 reference(s)		 42-nombresreels
161 reference(s)
43-genielogiciel
161 reference(s)		 44-demo14
161 reference(s)
45-logiciel
160 reference(s)		 46-demo.14
160 reference(s)
47-demo
160 reference(s)		 48-Fractal.11
159 reference(s)
49-SurfaceProjector.01.Fra
158 reference(s)		 50-Galerie_Astrophysics.FV
158 reference(s)
51-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
156 reference(s)		 52-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
155 reference(s)
53-Galerie_CelestialMechanics.FV
154 reference(s)		 54-NombresEtLumiere.01.vv.Fra
152 reference(s)
55-Galerie_DeterministicChaos.FV
152 reference(s)		 56-Fractal.03
152 reference(s)
57-ExpV_VirE.21
152 reference(s)		 58-DieuScience.01.Fra
151 reference(s)
59-AnimFractal.01.
151 reference(s)		 60-ImpossibleStructures.01.Fra
149 reference(s)
61-Autostereograms.01.
147 reference(s)		 62-ImpossibleStructures.01.Ang
146 reference(s)
63-GenieLogiciel.01.Fra
146 reference(s)		 64-Kepler.02.
145 reference(s)
65-IllusionConnaissance.02
145 reference(s)		 66-GoldenTriangle.01.Ang
145 reference(s)
67-Galerie_BestOf.FV
145 reference(s)		 68-catalogue.11
144 reference(s)
69-infinity.01.vv
143 reference(s)		 70-UlamSpiral.01.Ang
143 reference(s)
71-NatureDesMathematiques.01.vv.Fra
142 reference(s)		 72-EntrelacsIntertwinings.01.Ang
142 reference(s)
73-subject.01.
141 reference(s)		 74-infinity.02.vv
140 reference(s)
75-VisitesGaleriesEnfouies.01.Ang
139 reference(s)		 76-OrdinateurMathematiquesArt.01.Fra
139 reference(s)
77-LesApprentisDieux.01
139 reference(s)		 78-EntrelacsIntertwinings.01.Fra
139 reference(s)
79-EnsembleDesGaleriesFractales.DIAPO.0001
138 reference(s)		 80-AvantPropos.01.Ang
138 reference(s)
81-RemarquesCerveau.01
137 reference(s)		 82-AvantPropos.01.Fra
136 reference(s)
83-MathematiquesModeleOutilArtiste.02.Ang
135 reference(s)		 84-EnsembleDesGaleries.DIAPO.0001
135 reference(s)
85-OrdinateursEtCalculs.01.Ang
134 reference(s)		 86-MathematiquesPhysiqueFractales.01
134 reference(s)
87-LOG_xiMc.11
134 reference(s)		 88-Galerie_SensitivityToRoundingOffErrors.FV
134 reference(s)
89-Galerie_FluidMechanics.FV
134 reference(s)		 90-VisitesGaleriesEnfouies.01.Fra
133 reference(s)
91-MonodimensionalCellularAutomata.01.Ang
133 reference(s)		 92-ManyChaos.01.Ang
133 reference(s)
93-Galerie_Tributes.FV
133 reference(s)		 94-ExpV_VirE.Ang
133 reference(s)
95-VirtualChaos.01.Fra
132 reference(s)		 96-Spheres.01
132 reference(s)
97-MiseEnSceneDesNombres.01.vv.Ang
132 reference(s)		 98-Galerie_ParticleSystems.FV
132 reference(s)
99-Fractal.02
132 reference(s)		 100-VirtualChaos.01.Ang
131 reference(s)
101-Galerie_TextureSynthesis.FV
131 reference(s)		 102-Informations_AboutPicturesAnimationsAndFiles.01.Ang
130 reference(s)
103-An2000.04.Fra
130 reference(s)		 104-PatrimoineHumanite.02.Fra
129 reference(s)
105-DuModeleALImage.02.Fra
129 reference(s)		 106-create.03.
128 reference(s)
107-PerteDeLAssociativite.01
128 reference(s)		 108-ManyChaos.01.Fra
128 reference(s)
109-MathematiquesEtCinematographe.01.vv
127 reference(s)		 110-present.01.
126 reference(s)
111-MathematiquesEtRepresentations.01.vv.Ang
125 reference(s)		 112-QuelquesQuestionsSurLaRecherche.01.Fra
123 reference(s)
113-Informations_AboutPicturesAnimationsAndFiles.01.Fra
122 reference(s)		 114-HommageBenoitMandelbrot.21
121 reference(s)
115-ArtEtMathematiques.01
121 reference(s)		 116-Commentaires_NKleinBottle.01
120 reference(s)
117-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
119 reference(s)		 118-MiseEnSceneDesNombres.01.vv.Fra
117 reference(s)
119-ArtScience.01
117 reference(s)		 120-ArtScience.11.Fra
116 reference(s)
121-ImagesDuVirtuel.01.Fra
115 reference(s)		 122-Ariane501.01.Fra
115 reference(s)
123-AQuoiServentLesMathematiques.03
115 reference(s)		 124-demo_14.FV
114 reference(s)
125-xDarchivesG__SMC__sources__SMC_____SI_G2
113 reference(s)		 126-VisSci_SciVis.01
113 reference(s)
127-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
113 reference(s)		 128-ExpV_VirE.Fra
111 reference(s)

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Copyright © Jean-François COLONNA, 2015-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2015-2023.