Monthly Best Of on 09/28/2017




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 Jupiter-

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

[Site Map, Help and Search [Plan du Site, Aide et Recherche]]
[The Y2K bug [Le bug de l'an 2000]]
[Do you believe that Real Numbers exist for a computer and that floating point computations are safe?]
[Please, visit A Virtual Space-Time Travel Machine, the place where you can find thousands of pictures and animations between Art and Science]
(CMAP28 WWW site: this page was created on 09/28/2017 and last updated on 06/30/2018 14:08:10 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Bidimensional Hilbert Curve -iteration 4-
1-840 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-373 reference(s)
Autostereogram with an hidden volcano
3-349 reference(s)
Erosion of a bidimensional random (with small and large scale correlations)medium
4-303 reference(s)
Happy new year 2000
5-271 reference(s)
Hypercube
6-240 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
7-209 reference(s)
The random walk of photons escaping the Sun
8-187 reference(s)
The Sierpinski carpet -iteration 1-
9-159 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
10-145 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
11-136 reference(s)
Autostereogram with an hidden volcano
12-134 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
13-134 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
14-133 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
15-125 reference(s)
The Bonan-Jeener's triple Klein bottle
16-121 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
17-107 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
18-103 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
19-100 reference(s)
The random walk of photons escaping the Sun
20-99 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
21-95 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
22-85 reference(s)
The generalized Ulam spiral
23-84 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
24-84 reference(s)
The tridimensional Ising Model with 2-state spins, temperature=0.1 and random initial conditions
25-81 reference(s)
A 'bidimensional epicycloïdal' pseudo-torus
26-81 reference(s)
Tridimensional Hilbert Curve -iteration 3-
27-79 reference(s)
Artistic view of the prime numbers
28-79 reference(s)
The Jeener's triple Klein bottle
29-78 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
30-72 reference(s)
The bidimensional John Conway's life game
31-72 reference(s)
Sixteen interlaced fractal torus
32-70 reference(s)
Quantum vacuum fluctuations
33-57 reference(s)
Autostereogram with an hidden ring and ghost bows
34-55 reference(s)
Fractal natural form
35-55 reference(s)
Autostereogram with an hidden volcano
36-53 reference(s)
Autostereogram with an hidden volcano
37-52 reference(s)
The random walk of photons escaping the Sun
38-50 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
39-50 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
40-49 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
41-46 reference(s)
The Universe at the heart of a Calabi-Yau manifold
42-44 reference(s)
A pseudo-periodical Penrose tiling of the plane
43-44 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
44-44 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
45-42 reference(s)
Autostereogram with an hidden ring and ghost bows
46-41 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
47-41 reference(s)
Bidimensional geometrical texture animation
48-40 reference(s)
Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
49-40 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-
50-40 reference(s)
From Mars to the Sun
51-40 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
52-39 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
53-39 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
54-39 reference(s)
Tridimensional texture animation by means of the Generalized Product
55-39 reference(s)
Bidimensional texture animation by means of the Generalized Product
56-39 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
57-39 reference(s)
The Möbius strip
58-39 reference(s)
Tridimensional zoom in on the Mandelbrot set
59-39 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
60-39 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
61-39 reference(s)
Fractal structure of a nucleon
62-37 reference(s)
Fractal natural form
63-36 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
64-36 reference(s)
The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
65-35 reference(s)
Quark and gluon structure of a nucleon
66-34 reference(s)
7-foil torus knot on its torus
67-33 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
68-33 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
69-32 reference(s)
An Archimedes spiral displaying 5000 numbers
70-32 reference(s)
Tridimensional display of the Riemann Zeta function inside (+0.1,+0.9)x(0,+50)
71-31 reference(s)
Autostereogram of Monument Valley
72-31 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
73-31 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
74-31 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
75-30 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
76-30 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
77-30 reference(s)
The first four iterations of the construction of the von Koch snowflake
78-29 reference(s)
True colors autostereogram of a fractal landscape
79-29 reference(s)
The Syracuse conjecture for U(0)={1,2,3,4,...,256} -monodimensional display-
80-28 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
81-27 reference(s)
A pseudo-periodical Penrose tiling of the plane
82-27 reference(s)
From 'geocentrism' to 'heliocentrism'
83-27 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
84-26 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
85-26 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
86-26 reference(s)
Quark and gluon structure of a nucleon
87-26 reference(s)
The Penrose city
88-25 reference(s)
Pseudo Olympic Rings
89-25 reference(s)
An Archimedes spiral displaying 100000 numbers
90-25 reference(s)
Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
91-25 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
92-25 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+20.0)x(-15.0,+15.0) (bird's-eye view)
93-24 reference(s)
A 'triple stack' of two pseudo-periodical Penrose tilings of the plane
94-24 reference(s)
An Archimedes spiral displaying 10000 numbers
95-24 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
96-24 reference(s)
Tridimensional fractal structure
97-24 reference(s)
A pseudo-periodical Penrose tiling of the plane
98-23 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
99-23 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
100-23 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
101-22 reference(s)
The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
102-22 reference(s)
Anaglyph -blue=right, red=left- of a fractal hypercube
103-21 reference(s)
The Syracuse conjecture for U(0)={1,2,3,4,...,256} -monodimensional display-
104-20 reference(s)
The Sierpinski carpet -iteration 5-
105-20 reference(s)
The end of the World
106-20 reference(s)
From Pluto to the Sun -extrapolation 1- (non linear scales)
107-20 reference(s)
A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
108-20 reference(s)
A fractal pseudo-periodical Penrose tiling
109-20 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
110-20 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0) (bird's-eye view)
111-19 reference(s)
The Menger sponge -iteration 5-
112-19 reference(s)
Close-up on a foggy pseudo-quaternionic Mandelbrot set with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
113-19 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-
114-19 reference(s)
A pseudo-periodical Penrose tiling of the plane
115-18 reference(s)
A perfect bidimensional fractal tree and the self-similarity
116-18 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
117-18 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
118-18 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
119-18 reference(s)
The Klein bottle
120-18 reference(s)
From Pluto to the Sun -extrapolation 2-
121-18 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)
122-18 reference(s)
A fractal Klein bottle
123-18 reference(s)
A truncated quadrimensional Calabi-Yau manifold with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
124-18 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
125-18 reference(s)
The 64 first lines of the Pascal's Triangle
126-17 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
127-17 reference(s)
A pay slip
128-17 reference(s)




2-The 128 most referenced Pages:



1-demo_14
1192 reference(s)
2-An2000.01.Fra
488 reference(s)
3-Galerie_GeneralitiesVisualization.FV
413 reference(s)
4-ComplexiteStructurelleClassements.11
378 reference(s)
5-Vcatalogue.11
372 reference(s)
6-help.
333 reference(s)
7-AVirtualSpaceTimeTravelMachine.Ang
331 reference(s)
8-FloatingPointNumbers.01.Ang
317 reference(s)
9-Stereogrammes_AutoStereogrammes.01
315 reference(s)
10-Galerie_NumberTheory.FV
304 reference(s)
11-Fractal.01
286 reference(s)
12-FloatingPointNumbers.01.Fra
285 reference(s)
13-RealNumbers.01.Fra
277 reference(s)
14-AVirtualSpaceTimeTravelMachine.Fra
269 reference(s)
15-MathematiquesPhysiqueFractales.02
267 reference(s)
16-mail.01.vv
266 reference(s)
17-Galerie_DeterministicFractalGeometry.FV
262 reference(s)
18-FaireDeLaRecherche.01.vv
260 reference(s)
19-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
259 reference(s)
20-SurfaceProjector.01.Ang
254 reference(s)
21-Galerie_ArtisticCreation.FV
254 reference(s)
22-NDimensionalDeterministicFractalSets.01.Fra
250 reference(s)
23-MorePages.
250 reference(s)
24-GenieLogiciel.01.Fra
246 reference(s)
25-SurfaceProjector.01.Fra
243 reference(s)
26-GenieLogiciel_VisualisationScientifique.01.vv
243 reference(s)
27-ExpV_VirE.11
243 reference(s)
28-Galerie_QuantumMechanics.FV
242 reference(s)
29-Galerie_BestOf.FV
240 reference(s)
30-Galerie_ArtAndScience.FV
239 reference(s)
31-Fractal.11
239 reference(s)
32-Galerie_NewPictures.FV
236 reference(s)
33-MathematiquesPhysiqueFractales.22
235 reference(s)
34-GoldenTriangle.01.Fra
235 reference(s)
35-LOG_xiMc.11
234 reference(s)
36-AProposSite.01.Fra
234 reference(s)
37-copyright.01.
231 reference(s)
38-Galerie_ParticleSystems.FV
231 reference(s)
39-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
230 reference(s)
40-NDimensionalDeterministicFractalSets.01.Ang
227 reference(s)
41-Galerie_DeterministicChaos.FV
219 reference(s)
42-Kepler.02.
218 reference(s)
43-DieuScience.01.Fra
218 reference(s)
44-MonodimensionalCellularAutomata.01.Fra
215 reference(s)
45-AnimFractal.01.
215 reference(s)
46-AQuoiServentLesMathematiques.01
214 reference(s)
47-catalogue.11
213 reference(s)
48-UlamSpiral.01.Fra
213 reference(s)
49-ImagesDuVirtuel.01.Fra.FV
213 reference(s)
50-EntrelacsIntertwinings.01.Fra
212 reference(s)
51-Fractal.03
211 reference(s)
52-Galerie_CelestialMechanics.FV
210 reference(s)
53-EntrelacsIntertwinings.01.Ang
210 reference(s)
54-OrdinateurMathematiquesArt.01.Fra
209 reference(s)
55-DuModeleALImage.02.Fra
209 reference(s)
56-Autostereograms.01.
209 reference(s)
57-subject.01.
208 reference(s)
58-ImpossibleStructures.01.Ang
208 reference(s)
59-MathematiquesModeleOutilArtiste.02.Ang
203 reference(s)
60-infinity.01.vv
202 reference(s)
61-VirtualChaos.01.Ang
202 reference(s)
62-OrdinateursEtCalculs.01.Fra
202 reference(s)
63-GoldenTriangle.01.Ang
202 reference(s)
64-create.03.
201 reference(s)
65-NombresEtLumiere.01.vv.Fra
201 reference(s)
66-IllusionConnaissance.02
201 reference(s)
67-Galerie_Tributes.FV
201 reference(s)
68-Galerie_FluidMechanics.FV
201 reference(s)
69-Galerie_Astrophysics.FV
201 reference(s)
70-ImpossibleStructures.01.Fra
200 reference(s)
71-Galerie_TextureSynthesis.FV
200 reference(s)
72-ExpV_VirE.Ang
200 reference(s)
73-PerteDeLAssociativite.01
199 reference(s)
74-MonodimensionalCellularAutomata.01.Ang
199 reference(s)
75-Galerie_SignalProcessing.FV
198 reference(s)
76-Galerie_SensitivityToRoundingOffErrors.FV
198 reference(s)
77-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
198 reference(s)
78-MiseEnSceneDesNombres.01.vv.Ang
197 reference(s)
79-NatureDesMathematiques.01.vv.Fra
196 reference(s)
80-OrdinateursEtCalculs.01.Ang
195 reference(s)
81-LesApprentisDieux.01
194 reference(s)
82-Informations_GoodNewsAndBadNews.01.Fra
193 reference(s)
83-MiseEnSceneDesNombres.01.vv.Fra
192 reference(s)
84-Fractal.02
192 reference(s)
85-FaireDesMathematiques.01.Fra
191 reference(s)
86-ManyChaos.01.Ang
190 reference(s)
87-EnsembleDesGaleries.DIAPO.0001
189 reference(s)
88-infinity.02.vv
187 reference(s)
89-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
187 reference(s)
90-Spheres.01
186 reference(s)
91-NombresPremiers_10000.vv
186 reference(s)
92-MathematiquesEtCinematographe.01.vv
186 reference(s)
93-present.01.
185 reference(s)
94-VirtualChaos.01.Fra
185 reference(s)
95-MathematiquesLangageDuGrandLivreDeLaNature.12
185 reference(s)
96-VisualisationRelief.01.vv.Fra
184 reference(s)
97-RasoirDOccamEtMathematiques.01.vv.Fra
184 reference(s)
98-AvantPropos.01.Fra
184 reference(s)
99-VisitesGaleriesEnfouies.01.Ang
183 reference(s)
100-RasoirDOccamEtMathematiques.01.vv.Ang
183 reference(s)
101-ManyChaos.01.Fra
183 reference(s)
102-VisitesGaleriesEnfouies.01.Fra
182 reference(s)
103-PatrimoineHumanite.02.Fra
182 reference(s)
104-MathematiquesEtRepresentations.01.vv.Ang
182 reference(s)
105-EnsembleDesGaleriesFractales.DIAPO.0001
182 reference(s)
106-UlamSpiral.01.Ang
181 reference(s)
107-QuelquesQuestionsSurLaRecherche.01.Fra
181 reference(s)
108-AvantPropos.01.Ang
180 reference(s)
109-RemarquesCerveau.01
178 reference(s)
110-PerteDeLaDistributivite.01.DIS2
178 reference(s)
111-ExpV_VirE.21
178 reference(s)
112-demo14
175 reference(s)
113-logiciel
171 reference(s)
114-demo
171 reference(s)
115-realnumbers
170 reference(s)
116-demo.14
170 reference(s)
117-genielogiciel
169 reference(s)
118-nombresreels
168 reference(s)
119-an2000
168 reference(s)
120-Informations_AboutPicturesAnimationsAndFiles.01.Ang
167 reference(s)
121-Commentaires_Epicycloide.03
167 reference(s)
122-An2000.02.Fra
163 reference(s)
123-MathematiquesPhysiqueFractales.01
156 reference(s)
124-ImagesDuVirtuel.01.Fra
156 reference(s)
125-Galerie_ImagesDesMathematiques.FV
152 reference(s)
126-NombresEtLumiere.02.vv.Ang
147 reference(s)
127-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
146 reference(s)
128-Commentaires_NKleinBottle.01
144 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.