Monthly Best Of on 06/28/2017




Soft Archimedes mountains (bird's-eye view)

Jean-François COLONNA
www.lactamme.polytechnique.fr
jean-francois.colonna@polytechnique.edu
CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, Ecole Polytechnique, CNRS, 91128 Palaiseau Cedex, France

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(CMAP28 WWW site: this page was created on 06/28/2017 and last updated on 06/30/2018 14:08:09 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
1-294 reference(s)
Hypercube
2-291 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-270 reference(s)
Bidimensional Hilbert Curve -iteration 4-
4-265 reference(s)
Happy new year 2000
5-240 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
6-222 reference(s)
Autostereogram with an hidden volcano
7-216 reference(s)
Erosion of a bidimensional random (with small and large scale correlations)medium
8-198 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
9-148 reference(s)
Autostereogram with an hidden ring and ghost bows
10-146 reference(s)
The Bonan-Jeener's triple Klein bottle
11-142 reference(s)
Autostereogram with an hidden volcano
12-128 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
13-124 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
14-123 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
15-121 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
16-102 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
17-96 reference(s)
The random walk of photons escaping the Sun
18-92 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
19-92 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
20-88 reference(s)
The generalized Ulam spiral
21-74 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
22-71 reference(s)
Artistic view of the prime numbers
23-68 reference(s)
The random walk of photons escaping the Sun
24-66 reference(s)
The bidimensional John Conway's life game
25-64 reference(s)
Quantum vacuum fluctuations
26-60 reference(s)
The Jeener's triple Klein bottle
27-59 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
28-58 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
29-57 reference(s)
Autostereogram with an hidden volcano
30-54 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
31-53 reference(s)
A pseudo-periodical Penrose tiling of the plane
32-50 reference(s)
Sixteen interlaced fractal torus
33-45 reference(s)
The Universe at the heart of a Calabi-Yau manifold
34-44 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
35-44 reference(s)
The first four iterations of the construction of the von Koch snowflake
36-43 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
37-43 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
38-43 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
39-42 reference(s)
Bidimensional geometrical texture animation
40-41 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
41-41 reference(s)
Pseudo Olympic Rings
42-41 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-
43-41 reference(s)
From Mars to the Sun
44-41 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
45-41 reference(s)
A pseudo-periodical Penrose tiling of the plane
46-40 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
47-40 reference(s)
The Möbius strip
48-40 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
49-40 reference(s)
The control panel of a 1972 Télémécanique T1600 computer
50-39 reference(s)
The random walk of photons escaping the Sun
51-39 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
52-39 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
53-39 reference(s)
Bidimensional texture animation by means of the Generalized Product
54-39 reference(s)
Fractal natural form
55-38 reference(s)
Tridimensional texture animation by means of the Generalized Product
56-38 reference(s)
Tridimensional zoom in on the Mandelbrot set
57-38 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
58-38 reference(s)
Anaglyph -blue=right, red=left- of a fractal hypercube
59-37 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
60-37 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
61-37 reference(s)
Autostereogram with an hidden volcano
62-36 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
63-36 reference(s)
From 'geocentrism' to 'heliocentrism'
64-35 reference(s)
A perfect bidimensional fractal tree and the self-similarity
65-34 reference(s)
Quark and gluon structure of a nucleon
66-31 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
67-30 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
68-30 reference(s)
Tridimensional Hilbert Curve -iteration 3-
69-30 reference(s)
Fractal structure of a nucleon
70-29 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
71-29 reference(s)
Tridimensional display of the inflationary Universe
72-29 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
73-29 reference(s)
Autostereogram with an hidden ring and ghost bows
74-28 reference(s)
Fractal natural form
75-28 reference(s)
The end of the World
76-28 reference(s)
N-body problem integration (N=10)displaying the actual Solar System
77-28 reference(s)
Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
78-28 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
79-27 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Sun point of view-
80-27 reference(s)
Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
81-27 reference(s)
Tridimenional display of the Goldbach conjecture
82-27 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
83-27 reference(s)
A pseudo-periodical Penrose tiling of the plane
84-26 reference(s)
Generation of the 63 first Conway's surreal numbers
85-25 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
86-25 reference(s)
An Archimedes spiral displaying 10000 numbers
87-25 reference(s)
Autostereogram of Monument Valley
88-25 reference(s)
True colors autostereogram of a fractal landscape
89-25 reference(s)
Quark and gluon structure of a nucleon
90-25 reference(s)
An Archimedes spiral displaying 5000 numbers
91-24 reference(s)
Tridimensional display of the Riemann Zeta function inside (+0.1,+0.9)x(0,+50)
92-23 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
93-23 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)
94-23 reference(s)
The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
95-23 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
96-23 reference(s)
Sixteen interlaced torus
97-22 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+20.0)x(-15.0,+15.0) (bird's-eye view)
98-21 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
99-21 reference(s)
The pseudo-sphere -a Tribute to Jacques Cartier-
100-21 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
101-21 reference(s)
A shell (Jeener surface 1)in motion
102-21 reference(s)
Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 637.312 galaxies)obtained by means of a non deterministic fractal process
103-21 reference(s)
A tridimensionally distorded pseudo-periodical Penrose tiling of the plane
104-20 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
105-20 reference(s)
The Mathematics are the key of the Multiverse
106-20 reference(s)
No Title 0242
107-20 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
108-20 reference(s)
Close-up on a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
109-20 reference(s)
A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
110-20 reference(s)
Bidimensional zoom in on the Mandelbrot set
111-20 reference(s)
A 'triple stack' of two pseudo-periodical Penrose tilings of the plane
112-19 reference(s)
A tridimensionally distorded pseudo-periodical Penrose tiling of the plane
113-19 reference(s)
The extended Borromean Rings
114-19 reference(s)
An Archimedes spiral displaying 100000 numbers
115-19 reference(s)
Wavelet transform of a bidimensional fractal field
116-19 reference(s)
Close-up on a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
117-19 reference(s)
The Lorenz attractor
118-19 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
119-19 reference(s)
Monument Valley à la David Hockney
120-18 reference(s)
From Pluto to the Sun (non linear scales)
121-18 reference(s)
Quantum vacuum fluctuations
122-17 reference(s)
Artistic view of the Big Bang
123-17 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
124-17 reference(s)
Close-up on a foggy pseudo-quaternionic Mandelbrot set with a (1/O)^2 conformal transformation in the Octonionic space -tridimensional cross-section-
125-17 reference(s)
Close-up on a foggy pseudo-quaternionic Mandelbrot set with a (1/O)^1 conformal transformation in the Octonionic space -tridimensional cross-section-
126-17 reference(s)
A quaternionic Julia set -tridimensional cross-section-
127-17 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
128-17 reference(s)




2-The 128 most referenced Pages:



1-demo_14
1045 reference(s)
2-AVirtualSpaceTimeTravelMachine.Ang
643 reference(s)
3-SurfaceProjector.01.Fra
482 reference(s)
4-An2000.01.Fra
424 reference(s)
5-Galerie_GeneralitiesVisualization.FV
411 reference(s)
6-Vcatalogue.11
355 reference(s)
7-ComplexiteStructurelleClassements.11
329 reference(s)
8-GenieLogiciel_VisualisationScientifique.01.vv
316 reference(s)
9-Stereogrammes_AutoStereogrammes.01
306 reference(s)
10-FloatingPointNumbers.01.Ang
304 reference(s)
11-Galerie_NumberTheory.FV
297 reference(s)
12-help.
282 reference(s)
13-AVirtualSpaceTimeTravelMachine.Fra
269 reference(s)
14-ExpV_VirE.11
268 reference(s)
15-RealNumbers.01.Fra
266 reference(s)
16-Fractal.01
262 reference(s)
17-mail.01.vv
257 reference(s)
18-FaireDeLaRecherche.01.vv
257 reference(s)
19-FloatingPointNumbers.01.Fra
255 reference(s)
20-Galerie_ArtisticCreation.FV
250 reference(s)
21-Galerie_ArtAndScience.FV
245 reference(s)
22-MathematiquesPhysiqueFractales.02
244 reference(s)
23-GoldenTriangle.01.Fra
242 reference(s)
24-Galerie_NewPictures.FV
239 reference(s)
25-Galerie_QuantumMechanics.FV
238 reference(s)
26-AProposSite.01.Fra
238 reference(s)
27-SurfaceProjector.01.Ang
237 reference(s)
28-MorePages.
236 reference(s)
29-Galerie_DeterministicFractalGeometry.FV
236 reference(s)
30-Galerie_BestOf.FV
231 reference(s)
31-AnimFractal.01.
230 reference(s)
32-Galerie_ParticleSystems.FV
229 reference(s)
33-Galerie_CelestialMechanics.FV
227 reference(s)
34-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
226 reference(s)
35-Galerie_Astrophysics.FV
225 reference(s)
36-DieuScience.01.Fra
224 reference(s)
37-copyright.01.
223 reference(s)
38-Informations_GoodNewsAndBadNews.01.Fra
220 reference(s)
39-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
220 reference(s)
40-Fractal.03
220 reference(s)
41-Fractal.11
218 reference(s)
42-MathematiquesPhysiqueFractales.22
217 reference(s)
43-Galerie_FluidMechanics.FV
216 reference(s)
44-NDimensionalDeterministicFractalSets.01.Ang
215 reference(s)
45-GoldenTriangle.01.Ang
213 reference(s)
46-LOG_xiMc.11
212 reference(s)
47-NombresEtLumiere.01.vv.Fra
210 reference(s)
48-UlamSpiral.01.Fra
209 reference(s)
49-Galerie_SignalProcessing.FV
209 reference(s)
50-EntrelacsIntertwinings.01.Fra
209 reference(s)
51-infinity.01.vv
208 reference(s)
52-NDimensionalDeterministicFractalSets.01.Fra
208 reference(s)
53-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
207 reference(s)
54-ImpossibleStructures.01.Ang
207 reference(s)
55-FaireDesMathematiques.01.Fra
204 reference(s)
56-Galerie_DeterministicChaos.FV
203 reference(s)
57-DuModeleALImage.02.Fra
203 reference(s)
58-catalogue.11
202 reference(s)
59-GenieLogiciel.01.Fra
202 reference(s)
60-EntrelacsIntertwinings.01.Ang
202 reference(s)
61-Kepler.02.
201 reference(s)
62-ImagesDuVirtuel.01.Fra.FV
201 reference(s)
63-Galerie_SensitivityToRoundingOffErrors.FV
200 reference(s)
64-AvantPropos.01.Ang
198 reference(s)
65-Autostereograms.01.
198 reference(s)
66-UlamSpiral.01.Ang
196 reference(s)
67-MonodimensionalCellularAutomata.01.Fra
196 reference(s)
68-MonodimensionalCellularAutomata.01.Ang
196 reference(s)
69-ImpossibleStructures.01.Fra
196 reference(s)
70-AQuoiServentLesMathematiques.01
196 reference(s)
71-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
195 reference(s)
72-MathematiquesEtCinematographe.01.vv
194 reference(s)
73-VisitesGaleriesEnfouies.01.Ang
192 reference(s)
74-EnsembleDesGaleries.DIAPO.0001
192 reference(s)
75-Galerie_TextureSynthesis.FV
191 reference(s)
76-OrdinateursEtCalculs.01.Ang
190 reference(s)
77-MathematiquesEtRepresentations.01.vv.Ang
190 reference(s)
78-Galerie_Tributes.FV
190 reference(s)
79-EnsembleDesGaleriesFractales.DIAPO.0001
190 reference(s)
80-VirtualChaos.01.Ang
189 reference(s)
81-Spheres.01
189 reference(s)
82-ExpV_VirE.Ang
188 reference(s)
83-RasoirDOccamEtMathematiques.01.vv.Fra
187 reference(s)
84-OrdinateursEtCalculs.01.Fra
187 reference(s)
85-MiseEnSceneDesNombres.01.vv.Ang
187 reference(s)
86-PerteDeLAssociativite.01
186 reference(s)
87-Commentaires_Epicycloide.03
186 reference(s)
88-RemarquesCerveau.01
185 reference(s)
89-IllusionConnaissance.02
185 reference(s)
90-Commentaires_DefinitionOctonions.01
185 reference(s)
91-nombresreels
184 reference(s)
92-MiseEnSceneDesNombres.01.vv.Fra
184 reference(s)
93-MathematiquesLangageDuGrandLivreDeLaNature.12
184 reference(s)
94-subject.01.
183 reference(s)
95-realnumbers
183 reference(s)
96-infinity.02.vv
183 reference(s)
97-create.03.
183 reference(s)
98-RasoirDOccamEtMathematiques.01.vv.Ang
183 reference(s)
99-OrdinateurMathematiquesArt.01.Fra
183 reference(s)
100-MathematiquesModeleOutilArtiste.02.Ang
183 reference(s)
101-Fractal.02
182 reference(s)
102-VisualisationRelief.01.vv.Fra
181 reference(s)
103-AvantPropos.01.Fra
181 reference(s)
104-ManyChaos.01.Fra
180 reference(s)
105-NatureDesMathematiques.01.vv.Fra
179 reference(s)
106-ManyChaos.01.Ang
179 reference(s)
107-PatrimoineHumanite.02.Fra
178 reference(s)
108-QuelquesQuestionsSurLaRecherche.01.Fra
177 reference(s)
109-demo
176 reference(s)
110-LesApprentisDieux.01
176 reference(s)
111-Informations_AboutPicturesAnimationsAndFiles.01.Ang
175 reference(s)
112-VisitesGaleriesEnfouies.01.Fra
174 reference(s)
113-PerteDeLaDistributivite.01.DIS2
174 reference(s)
114-logiciel
173 reference(s)
115-demo14
173 reference(s)
116-demo.14
173 reference(s)
117-genielogiciel
172 reference(s)
118-an2000
172 reference(s)
119-VirtualChaos.01.Fra
172 reference(s)
120-NombresPremiers_10000.vv
172 reference(s)
121-Galerie_ImagesDesMathematiques.FV
167 reference(s)
122-An2000.02.Fra
159 reference(s)
123-present.01.
154 reference(s)
124-VisSci_SciVis.01
153 reference(s)
125-ExpV_VirE.01.Fra
152 reference(s)
126-ArtScience.01
151 reference(s)
127-VisSci_SciVis.02
150 reference(s)
128-MathematiquesPhysiqueFractales.01
150 reference(s)

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




Copyright (c) Jean-François Colonna, 2017-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2017-2018.