Monthly Best Of on 08/28/2016




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 08/28/2016 and last updated on 11/14/2023 17:49:02 -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
1-350 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
2-333 reference(s)		 Hypercube
3-303 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
4-280 reference(s)
Autostereogram with an hidden volcano
5-269 reference(s)		 Happy new year 2000
6-206 reference(s)		 Bidimensional Hilbert Curve -iteration 4-
7-201 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
8-173 reference(s)
Pseudo Olympic Rings
9-165 reference(s)		 Autostereogram with an hidden volcano
10-119 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
11-114 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
12-109 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
13-103 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
14-101 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
15-99 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
16-98 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
17-91 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
18-85 reference(s)		 The Bonan-Jeener-Klein triple bottle
19-81 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
20-79 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
21-72 reference(s)		 Artistic view of the prime numbers
22-70 reference(s)		 Tridimensional Hilbert Curve -iteration 3-
23-68 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
24-68 reference(s)
The random walk of photons escaping the Sun
25-65 reference(s)		 Autostereogram with an hidden volcano
26-64 reference(s)		 Sixteen interlaced torus
27-60 reference(s)		 Autostereogram with an hidden volcano
28-56 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
29-53 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
30-49 reference(s)		 Quantum vacuum fluctuations
31-48 reference(s)		 The bidimensional John Conway's life game
32-47 reference(s)
The random walk of photons escaping the Sun
33-46 reference(s)		 The generalized Ulam spiral
34-45 reference(s)		 Autostereogram with an hidden ring and ghost bows
35-43 reference(s)		 The random walk of photons escaping the Sun
36-42 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-
37-42 reference(s)		 Quark and gluon structure of a nucleon
38-40 reference(s)		 The Möbius strip
39-39 reference(s)		 Bidimensional geometrical texture animation
40-38 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
41-38 reference(s)		 From Mars to the Sun
42-38 reference(s)		 Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
43-38 reference(s)		 A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
44-37 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
45-37 reference(s)		 Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
46-37 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
47-36 reference(s)		 Tridimensional texture animation by means of the Generalized Product
48-36 reference(s)
Bidimensional texture animation by means of the Generalized Product
49-36 reference(s)		 Tridimensional zoom in on the Mandelbrot set
50-36 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
51-35 reference(s)		 Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
52-35 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
53-35 reference(s)		 The 'green' reflection of a red tetrahedron obtained by a 'blue' symmetry of each red vertex about the opposite red face
54-31 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
55-31 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
56-30 reference(s)
Portrait (Lena)-with a 'OY' symmetry-
57-30 reference(s)		 The Jeener-Klein triple bottle
58-30 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
59-29 reference(s)		 The Universe at the heart of a Calabi-Yau manifold
60-28 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
61-28 reference(s)		 True colors autostereogram of a fractal landscape
62-28 reference(s)		 3-foil knot
63-28 reference(s)		 An Archimedes spiral displaying 5000 numbers
64-27 reference(s)
Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
65-26 reference(s)		 The 'green' reflection of a red triangle obtained by a 'blue' symmetry of each red vertex about the opposite red side
66-26 reference(s)		 An aperiodic Penrose tiling of the plane
67-25 reference(s)		 The generalized Ulam spiral displaying 100 numbers
68-25 reference(s)
The Lorenz attractor
69-25 reference(s)		 The double reflection -green- of a small regular tetrahedron -center red-
70-24 reference(s)		 A set of 4x3 stereograms of a fractal hypercube
71-24 reference(s)		 Fractal natural form
72-23 reference(s)
Fractal natural form
73-23 reference(s)		 An Archimedes spiral displaying 10000 numbers
74-22 reference(s)		 From 'geocentrism' to 'heliocentrism'
75-22 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
76-22 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
77-22 reference(s)		 The Jeener-Klein triple bottle
78-22 reference(s)		 Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
79-21 reference(s)		 Synthesis of bidimensional geometrical textures
80-21 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
81-20 reference(s)		 The Generalization of the reflection of a triangle
82-20 reference(s)		 An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
83-20 reference(s)		 Autostereogram of Monument Valley
84-20 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)
85-19 reference(s)		 The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
86-19 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
87-19 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
88-19 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral -with display of the spiral-
89-18 reference(s)		 Sixteen interlaced fractal torus
90-18 reference(s)		 An aperiodic Penrose tiling of the plane
91-16 reference(s)		 Autostereogram with an hidden volcano
92-16 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
93-16 reference(s)		 The Solar System with a dark blue virtual planet -heliocentric point of view-
94-16 reference(s)		 Tridimensional display of the inflationary Universe
95-16 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
96-16 reference(s)
Generation of the 63 first Conway's surreal numbers
97-15 reference(s)		 The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
98-15 reference(s)		 The generalized Ulam spiral displaying 2025 numbers
99-15 reference(s)		 Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
100-15 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
101-15 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
102-14 reference(s)		 Bidimensional zoom in on the Mandelbrot set
103-14 reference(s)		 The first four iterations of the construction of the von Koch snowflake
104-13 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
105-13 reference(s)		 The Simpson paradox
106-13 reference(s)		 Quark and gluon structure of a nucleon
107-13 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
108-13 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
109-13 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
110-13 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
111-13 reference(s)		 The ABC conjecture
112-13 reference(s)
The Klein bottle
113-13 reference(s)		 Quantum vacuum fluctuation dynamics
114-12 reference(s)		 The 64 first lines of the Pascal's Triangle
115-12 reference(s)		 Along the border of the Mandelbrot set
116-12 reference(s)
Generation of the 63x63 first Conway's surreal complex numbers
117-12 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
118-12 reference(s)		 Autostereogram with an hidden ring and ghost bows
119-12 reference(s)		 A pay slip
120-12 reference(s)
Quark and gluon dynamics of the nucleon
121-12 reference(s)		 The extended Borromean Rings
122-12 reference(s)		 Untitled 0250
123-12 reference(s)		 The Lorenz attractor
124-12 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
125-12 reference(s)		 A fractal Möbius strip
126-12 reference(s)		 Artistic view of a quadridimensional Calabi-Yau manifold
127-12 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
128-12 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
521 reference(s)		 2-An2000.01.Fra
457 reference(s)
3-help.
382 reference(s)		 4-AVirtualSpaceTimeTravelMachine.Ang
355 reference(s)
5-galerie_nondeterministicfractalgeometrynaturalphenomenonsynthesis.fv
352 reference(s)		 6-mail.01.vv
348 reference(s)
7-Vcatalogue.11
338 reference(s)		 8-copyright.01.
296 reference(s)
9-GenieLogiciel_VisualisationScientifique.01.vv
275 reference(s)		 10-Stereogrammes_AutoStereogrammes.01
248 reference(s)
11-AVirtualSpaceTimeTravelMachine.Fra
236 reference(s)		 12-Galerie_NumberTheory.FV
232 reference(s)
13-Fractal.01
220 reference(s)		 14-AProposSite.01.Fra
214 reference(s)
15-RealNumbers.01.Fra
213 reference(s)		 16-FloatingPointNumbers.01.Fra
212 reference(s)
17-FloatingPointNumbers.01.Ang
212 reference(s)		 18-Galerie_NewPictures.FV
198 reference(s)
19-AnimFractal.01.
196 reference(s)		 20-Galerie_CelestialMechanics.FV
192 reference(s)
21-FaireDeLaRecherche.01.vv
192 reference(s)		 22-Galerie_QuantumMechanics.FV
189 reference(s)
23-Galerie_GeneralitiesVisualization.FV
189 reference(s)		 24-UlamSpiral.01.Fra
188 reference(s)
25-Galerie_BestOf.FV
186 reference(s)		 26-Galerie_ArtisticCreation.FV
185 reference(s)
27-Fractal.11
185 reference(s)		 28-NombresEtLumiere.01.vv.Fra
183 reference(s)
29-Galerie_ParticleSystems.FV
181 reference(s)		 30-Galerie_DeterministicFractalGeometry.FV
181 reference(s)
31-Galerie_ArtAndScience.FV
179 reference(s)		 32-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
179 reference(s)
33-SurfaceProjector.01.Ang
177 reference(s)		 34-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
176 reference(s)
35-catalogue.11
173 reference(s)		 36-MathematiquesPhysiqueFractales.02
172 reference(s)
37-SurfaceProjector.01.Fra
169 reference(s)		 38-NDimensionalDeterministicFractalSets.01.Fra
169 reference(s)
39-AQuoiServentLesMathematiques.01
169 reference(s)		 40-Kepler.02.
168 reference(s)
41-Galerie_Astrophysics.FV
168 reference(s)		 42-NDimensionalDeterministicFractalSets.01.Ang
166 reference(s)
43-GoldenTriangle.01.Fra
166 reference(s)		 44-Galerie_SignalProcessing.FV
166 reference(s)
45-Galerie_DeterministicChaos.FV
164 reference(s)		 46-ExpV_VirE.11
164 reference(s)
47-Galerie_FluidMechanics.FV
163 reference(s)		 48-EntrelacsIntertwinings.01.Fra
163 reference(s)
49-MorePages.
162 reference(s)		 50-MathematiquesPhysiqueFractales.22
159 reference(s)
51-MonodimensionalCellularAutomata.01.Fra
158 reference(s)		 52-OrdinateursEtCalculs.01.Fra
156 reference(s)
53-stereogrammes_autostereogrammes.01
155 reference(s)		 54-NatureDesMathematiques.01.vv.Fra
154 reference(s)
55-demo14
153 reference(s)		 56-OrdinateursEtCalculs.01.Ang
153 reference(s)
57-ImagesDuVirtuel.01.Fra.FV
153 reference(s)		 58-EntrelacsIntertwinings.01.Ang
153 reference(s)
59-Autostereograms.01.
153 reference(s)		 60-subject.01.
152 reference(s)
61-create.03.
152 reference(s)		 62-OrdinateurMathematiquesArt.01.Fra
152 reference(s)
63-genielogiciel
151 reference(s)		 64-demo.14
151 reference(s)
65-an2000
151 reference(s)		 66-Informations_GoodNewsAndBadNews.01.Fra
151 reference(s)
67-Informations_AboutPicturesAnimationsAndFiles.01.Ang
151 reference(s)		 68-GenieLogiciel.01.Fra
151 reference(s)
69-nombresreels
150 reference(s)		 70-demo
150 reference(s)
71-RemarquesCerveau.01
150 reference(s)		 72-logiciel
149 reference(s)
73-UlamSpiral.01.Ang
149 reference(s)		 74-infinity.01.vv
148 reference(s)
75-VisitesGaleriesEnfouies.01.Fra
148 reference(s)		 76-VisitesGaleriesEnfouies.01.Ang
148 reference(s)
77-Galerie_SensitivityToRoundingOffErrors.FV
148 reference(s)		 78-realnumbers
147 reference(s)
79-Galerie_TextureSynthesis.FV
147 reference(s)		 80-DieuScience.01.Fra
147 reference(s)
81-infinity.02.vv
146 reference(s)		 82-MonodimensionalCellularAutomata.01.Ang
146 reference(s)
83-MathematiquesModeleOutilArtiste.02.Ang
145 reference(s)		 84-LOG_xiMc.11
145 reference(s)
85-GoldenTriangle.01.Ang
145 reference(s)		 86-VirtualChaos.01.Fra
144 reference(s)
87-Fractal.03
144 reference(s)		 88-Spheres.01
143 reference(s)
89-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
143 reference(s)		 90-ImpossibleStructures.01.Fra
142 reference(s)
91-AvantPropos.01.Fra
142 reference(s)		 92-VirtualChaos.01.Ang
141 reference(s)
93-RasoirDOccamEtMathematiques.01.vv.Fra
141 reference(s)		 94-PatrimoineHumanite.02.Fra
141 reference(s)
95-ImpossibleStructures.01.Ang
141 reference(s)		 96-PerteDeLAssociativite.01
140 reference(s)
97-MiseEnSceneDesNombres.01.vv.Ang
140 reference(s)		 98-An2000.02.Fra
140 reference(s)
99-aquoiserventlesmathematiques.01
138 reference(s)		 100-MiseEnSceneDesNombres.01.vv.Fra
138 reference(s)
101-LesApprentisDieux.01
138 reference(s)		 102-Fractal.02
138 reference(s)
103-DuModeleALImage.02.Fra
138 reference(s)		 104-ExpV_VirE.Ang
137 reference(s)
105-EnsembleDesGaleries.DIAPO.0001
137 reference(s)		 106-MathematiquesEtCinematographe.01.vv
136 reference(s)
107-IllusionConnaissance.02
136 reference(s)		 108-EnsembleDesGaleriesFractales.DIAPO.0001
136 reference(s)
109-MathematiquesEtRepresentations.01.vv.Ang
135 reference(s)		 110-VisualisationRelief.01.vv.Fra
133 reference(s)
111-Galerie_Tributes.FV
132 reference(s)		 112-Galerie_ImagesDidactiques.FV
130 reference(s)
113-RasoirDOccamEtMathematiques.01.vv.Ang
129 reference(s)		 114-ManyChaos.01.Fra
128 reference(s)
115-AvantPropos.01.Ang
128 reference(s)		 116-ManyChaos.01.Ang
127 reference(s)
117-QuelquesQuestionsSurLaRecherche.01.Fra
126 reference(s)		 118-fairedelarecherche.01.vv
125 reference(s)
119-ExpV_VirE.21
116 reference(s)		 120-xDarchivesG__CMS5__sources__CMS5_____SIS_CMS5_12
115 reference(s)
121-VisSci_SciVis.01
115 reference(s)		 122-relativity.01.
114 reference(s)
123-VisSci_SciVis.02
114 reference(s)		 124-ImagesDuVirtuel.01.Fra
113 reference(s)
125-present.01.
111 reference(s)		 126-MinistreEducationNationale.01.Fra
111 reference(s)
127-demo_14.FV
110 reference(s)		 128-MathematiquesPhysiqueFractales.01
110 reference(s)

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




Copyright © Jean-François COLONNA, 2016-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2016-2023.