Monthly Best Of on 10/28/2017




The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 1564

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 10/28/2017 and last updated on 10/03/2024 17:03:30 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Autostereogram with an hidden volcano
1-437 reference(s)		Bidimensional Hilbert Curve -iteration 4-
2-427 reference(s)		Hypercube
3-412 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-351 reference(s)
Erosion of a bidimensional random (with small and large scale correlations)medium
5-314 reference(s)		Happy new year 2000
6-276 reference(s)		The random walk of photons escaping the Sun
7-236 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
8-233 reference(s)
The random walk of photons escaping the Sun
9-209 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
10-205 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
11-186 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
12-176 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
13-168 reference(s)		The Bonan-Jeener-Klein triple bottle
14-142 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
15-140 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
16-123 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
17-100 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
18-99 reference(s)		The Jeener-Klein triple bottle
19-97 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
20-95 reference(s)
Autostereogram with an hidden volcano
21-93 reference(s)		Artistic view of the prime numbers
22-91 reference(s)		The generalized Ulam spiral
23-87 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
24-83 reference(s)
A 'bidimensional epicycloïdal' pseudo-torus
25-79 reference(s)		Autostereogram with an hidden volcano
26-78 reference(s)		Quantum vacuum fluctuations
27-71 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
28-71 reference(s)
Sixteen interlaced fractal torus
29-70 reference(s)		The bidimensional John Conway's life game
30-69 reference(s)		Autostereogram with an hidden volcano
31-66 reference(s)		True colors autostereogram of a fractal landscape
32-62 reference(s)
Portrait (Lena)-with a 'OY' symmetry-
33-61 reference(s)		Tridimensional Hilbert Curve -iteration 3-
34-61 reference(s)		The random walk of photons escaping the Sun
35-60 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
36-58 reference(s)
Fractal natural form
37-56 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
38-56 reference(s)		Autostereogram with an hidden ring and ghost bows
39-52 reference(s)		Isle of the Dead -a Tribute to Arnold Böcklin-
40-51 reference(s)
The Syracuse conjecture for U(0)={1,2,3,4,...,256} -monodimensional display-
41-49 reference(s)		An aperiodic Penrose tiling of the plane
42-48 reference(s)		Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
43-48 reference(s)		Fractal natural form
44-46 reference(s)
Quark and gluon structure of a nucleon
45-46 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
46-45 reference(s)		An Archimedes spiral displaying 100000 numbers
47-44 reference(s)		From 'geocentrism' to 'heliocentrism'
48-44 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
49-44 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
50-44 reference(s)		Tridimensional zoom in on the Mandelbrot set
51-43 reference(s)		Bidimensional geometrical texture animation
52-42 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
53-42 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
54-42 reference(s)		Tridimensional texture animation by means of the Generalized Product
55-42 reference(s)		Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
56-42 reference(s)
The Menger Sponge -iteration 5-
57-42 reference(s)		A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -100.000 digits, -base 10- into 050330... -128.508 digits, base 6-
58-42 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
59-41 reference(s)		Bidimensional texture animation by means of the Generalized Product
60-41 reference(s)
The first four iterations of the construction of the von Koch snowflake
61-40 reference(s)		A punched paper tape
62-40 reference(s)		A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
63-40 reference(s)		Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
64-40 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
65-40 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-
66-40 reference(s)		From Mars to the Sun
67-40 reference(s)		The Möbius strip
68-40 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
69-40 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
70-40 reference(s)		Autostereogram with an hidden ring and ghost bows
71-39 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
72-38 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
73-37 reference(s)		7-foil torus knot on its torus
74-37 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
75-36 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
76-36 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
77-35 reference(s)		The 64 first lines of the Pascal's Triangle -modulo 7-
78-34 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)
79-34 reference(s)		Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
80-33 reference(s)
A fractal aperiodic Penrose tiling
81-33 reference(s)		An Archimedes spiral displaying 5000 numbers
82-32 reference(s)		The Universe at the heart of a Calabi-Yau manifold
83-31 reference(s)		An Archimedes spiral displaying 10000 numbers
84-31 reference(s)
Autostereogram of Monument Valley
85-31 reference(s)		A fractal vegetal structure
86-30 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
87-29 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
88-29 reference(s)
Jean-François COLONNA (on 11/17/1994)with its fractal mountains
89-29 reference(s)		The Sierpinski Carpet -iteration 1-
90-28 reference(s)		Quark and gluon structure of a nucleon
91-28 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
92-27 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
93-27 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
94-26 reference(s)		Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
95-26 reference(s)		The Lorenz attractor
96-26 reference(s)
The Sierpinski Carpet -iteration 1-
97-25 reference(s)		The Simpson paradox
98-25 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
99-25 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
100-24 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
101-24 reference(s)		Sunny Monument Valley
102-24 reference(s)		From Pluto to the Sun (non linear scales)
103-24 reference(s)		The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
104-24 reference(s)
A tridimensionally distorded aperiodic Penrose tiling of the plane
105-23 reference(s)		The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
106-23 reference(s)		A fractal Möbius strip
107-23 reference(s)		2000 evenly distributed points on a sphere by means of the Fibonacci spiral
108-22 reference(s)
Fractal 7-foil torus knot
109-22 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
110-22 reference(s)		Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
111-21 reference(s)		Quantum vacuum fluctuations
112-21 reference(s)
Where is the Multiverse?
113-21 reference(s)		An aperiodic Penrose tiling of the plane
114-21 reference(s)		An aperiodic Penrose tiling of the plane
115-21 reference(s)		A perfect bidimensional fractal tree and the self-similarity
116-21 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
117-21 reference(s)		Monument Valley à la David Hockney
118-21 reference(s)		Monument Valley à la David Hockney
119-21 reference(s)		From Pluto to the Sun -extrapolation 1- (non linear scales)
120-21 reference(s)
A quaternionic Julia set -tridimensional cross-section-
121-21 reference(s)		The Birth of the Universe
122-21 reference(s)		The four first power sets {P(E),P(P(E)),P(P(P(E))),P(P(P(P(E))))} of a one-element set E
123-21 reference(s)		Anaglyph -blue=right, red=left- of a fractal hypercube
124-21 reference(s)
The Sierpinski Carpet -iteration 5-
125-20 reference(s)		Pseudo Olympic Rings
126-20 reference(s)		A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
127-20 reference(s)		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
128-20 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
1195 reference(s)		2-An2000.01.Fra
623 reference(s)
3-ComplexiteStructurelleClassements.11
539 reference(s)		4-Vcatalogue.11
451 reference(s)
5-Galerie_GeneralitiesVisualization.FV
421 reference(s)		6-Galerie_NumberTheory.FV
368 reference(s)
7-help.
363 reference(s)		8-Stereogrammes_AutoStereogrammes.01
358 reference(s)
9-AVirtualSpaceTimeTravelMachine.Ang
338 reference(s)		10-FloatingPointNumbers.01.Fra
303 reference(s)
11-MonodimensionalCellularAutomata.01.Fra
294 reference(s)		12-FloatingPointNumbers.01.Ang
284 reference(s)
13-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
283 reference(s)		14-AVirtualSpaceTimeTravelMachine.Fra
283 reference(s)
15-RealNumbers.01.Fra
282 reference(s)		16-mail.01.vv
281 reference(s)
17-Fractal.01
280 reference(s)		18-MathematiquesPhysiqueFractales.22
274 reference(s)
19-MathematiquesPhysiqueFractales.02
274 reference(s)		20-FaireDeLaRecherche.01.vv
274 reference(s)
21-Galerie_QuantumMechanics.FV
268 reference(s)		22-SurfaceProjector.01.Fra
265 reference(s)
23-SurfaceProjector.01.Ang
264 reference(s)		24-Galerie_ArtisticCreation.FV
263 reference(s)
25-Galerie_DeterministicFractalGeometry.FV
261 reference(s)		26-LOG_xiMc.11
260 reference(s)
27-Galerie_ArtAndScience.FV
257 reference(s)		28-MorePages.
255 reference(s)
29-NDimensionalDeterministicFractalSets.01.Fra
253 reference(s)		30-GenieLogiciel_VisualisationScientifique.01.vv
251 reference(s)
31-GoldenTriangle.01.Fra
249 reference(s)		32-OrdinateursEtCalculs.01.Ang
248 reference(s)
33-AProposSite.01.Fra
244 reference(s)		34-Galerie_BestOf.FV
241 reference(s)
35-GenieLogiciel.01.Fra
239 reference(s)		36-Galerie_NewPictures.FV
239 reference(s)
37-Galerie_ParticleSystems.FV
236 reference(s)		38-Fractal.11
236 reference(s)
39-copyright.01.
233 reference(s)		40-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
233 reference(s)
41-DuModeleALImage.02.Fra
233 reference(s)		42-AnimFractal.01.
228 reference(s)
43-Fractal.03
227 reference(s)		44-ExpV_VirE.11
226 reference(s)
45-EntrelacsIntertwinings.01.Ang
225 reference(s)		46-NDimensionalDeterministicFractalSets.01.Ang
224 reference(s)
47-DieuScience.01.Fra
224 reference(s)		48-UlamSpiral.01.Fra
222 reference(s)
49-Kepler.02.
222 reference(s)		50-NombresEtLumiere.01.vv.Fra
220 reference(s)
51-Galerie_Astrophysics.FV
220 reference(s)		52-Galerie_Tributes.FV
219 reference(s)
53-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
219 reference(s)		54-Autostereograms.01.
215 reference(s)
55-subject.01.
212 reference(s)		56-GoldenTriangle.01.Ang
209 reference(s)
57-EntrelacsIntertwinings.01.Fra
209 reference(s)		58-catalogue.11
208 reference(s)
59-ImpossibleStructures.01.Fra
208 reference(s)		60-IllusionConnaissance.02
208 reference(s)
61-infinity.02.vv
207 reference(s)		62-OrdinateurMathematiquesArt.01.Fra
207 reference(s)
63-ImagesDuVirtuel.01.Fra.FV
206 reference(s)		64-Galerie_FluidMechanics.FV
206 reference(s)
65-Galerie_CelestialMechanics.FV
206 reference(s)		66-FaireDesMathematiques.01.Fra
206 reference(s)
67-MonodimensionalCellularAutomata.01.Ang
205 reference(s)		68-AQuoiServentLesMathematiques.01
204 reference(s)
69-MiseEnSceneDesNombres.01.vv.Ang
203 reference(s)		70-ImpossibleStructures.01.Ang
203 reference(s)
71-Galerie_DeterministicChaos.FV
203 reference(s)		72-Galerie_TextureSynthesis.FV
201 reference(s)
73-infinity.01.vv
200 reference(s)		74-ConjectureDeSyracuse_0256.vv
200 reference(s)
75-OrdinateursEtCalculs.01.Fra
199 reference(s)		76-NombresPremiers_10000.vv
199 reference(s)
77-NatureDesMathematiques.01.vv.Fra
199 reference(s)		78-AvantPropos.01.Fra
199 reference(s)
79-MathematiquesModeleOutilArtiste.02.Ang
198 reference(s)		80-MiseEnSceneDesNombres.01.vv.Fra
197 reference(s)
81-UlamSpiral.01.Ang
196 reference(s)		82-Galerie_SignalProcessing.FV
196 reference(s)
83-ExpV_VirE.Ang
196 reference(s)		84-EnsembleDesGaleries.DIAPO.0001
196 reference(s)
85-create.03.
195 reference(s)		86-Spheres.01
195 reference(s)
87-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
195 reference(s)		88-VisitesGaleriesEnfouies.01.Fra
192 reference(s)
89-ManyChaos.01.Ang
192 reference(s)		90-Fractal.02
192 reference(s)
91-VirtualChaos.01.Ang
191 reference(s)		92-EnsembleDesGaleriesFractales.DIAPO.0001
191 reference(s)
93-RasoirDOccamEtMathematiques.01.vv.Fra
189 reference(s)		94-ManyChaos.01.Fra
189 reference(s)
95-Galerie_SensitivityToRoundingOffErrors.FV
189 reference(s)		96-RasoirDOccamEtMathematiques.01.vv.Ang
188 reference(s)
97-PerteDeLAssociativite.01
187 reference(s)		98-demo.14
185 reference(s)
99-demo
185 reference(s)		100-VirtualChaos.01.Fra
185 reference(s)
101-AvantPropos.01.Ang
185 reference(s)		102-present.01.
184 reference(s)
103-VisitesGaleriesEnfouies.01.Ang
184 reference(s)		104-nombresreels
183 reference(s)
105-demo14
183 reference(s)		106-QuelquesQuestionsSurLaRecherche.01.Fra
183 reference(s)
107-PerteDeLaDistributivite.01.DIS2
183 reference(s)		108-LesApprentisDieux.01
183 reference(s)
109-logiciel
182 reference(s)		110-VisualisationRelief.01.vv.Fra
182 reference(s)
111-MathematiquesEtRepresentations.01.vv.Ang
182 reference(s)		112-realnumbers
180 reference(s)
113-MathematiquesLangageDuGrandLivreDeLaNature.12
178 reference(s)		114-an2000
177 reference(s)
115-genielogiciel
176 reference(s)		116-RemarquesCerveau.01
176 reference(s)
117-Commentaires_NKleinBottle.01
175 reference(s)		118-MathematiquesEtCinematographe.01.vv
174 reference(s)
119-PatrimoineHumanite.02.Fra
172 reference(s)		120-Informations_GoodNewsAndBadNews.01.Fra
172 reference(s)
121-Informations_AboutPicturesAnimationsAndFiles.01.Ang
163 reference(s)		122-ImagesDuVirtuel.01.Fra
161 reference(s)
123-ArtEtMathematiques.01
157 reference(s)		124-An2000.02.Fra
153 reference(s)
125-ExpV_VirE.21
150 reference(s)		126-Galerie_ImagesDesMathematiques.FV
145 reference(s)
127-demo_14.FV
143 reference(s)		128-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
140 reference(s)

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




Copyright © Jean-François COLONNA, 2017-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2017-2024.