Monthly Best Of on 03/28/2018




A Bidimensional Hilbert-like Curve defined with {X1(...),Y1(...)} related to a 'zig-zag' -iteration 3-

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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Contents of this page:


1-The 128 most referenced Pictures (*):

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



The random walk of photons escaping the Sun
1-406 reference(s)		Hypercube
2-308 reference(s)		Autostereogram with an hidden volcano
3-284 reference(s)		Happy new year 2000
4-253 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
5-233 reference(s)		Autostereogram with an hidden volcano
6-222 reference(s)		Erosion of a bidimensional random (with small and large scale correlations)medium
7-201 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
8-182 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
9-177 reference(s)		The random walk of photons escaping the Sun
10-170 reference(s)		The generalized Ulam spiral
11-159 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
12-149 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
13-140 reference(s)		Bidimensional Hilbert Curve -iteration 4-
14-132 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
15-129 reference(s)		The Sierpinski Carpet -iteration 5-
16-120 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
17-115 reference(s)		Pseudo Olympic Rings
18-114 reference(s)		The Bonan-Jeener-Klein triple bottle
19-111 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
20-105 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
21-103 reference(s)		Portrait (Lena)-with a 'OY' symmetry-
22-95 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
23-93 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
24-88 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
25-86 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-
26-86 reference(s)		Artistic view of the prime numbers
27-84 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
28-81 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
29-77 reference(s)		The bidimensional John Conway's life game
30-76 reference(s)		The Jeener-Klein triple bottle
31-76 reference(s)		Some of the most beautiful fractal pictures
32-71 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
33-67 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
34-65 reference(s)		Sixteen interlaced fractal torus
35-63 reference(s)		Two multiplexed autostereograms by means of a pi/2 rotation
36-60 reference(s)
Monument Valley à la David Hockney
37-60 reference(s)		An aperiodic Penrose tiling of the plane
38-58 reference(s)		Autostereogram with an hidden volcano
39-57 reference(s)		The Universe at the heart of a Calabi-Yau manifold
40-55 reference(s)
Quantum vacuum fluctuations
41-52 reference(s)		An aperiodic Penrose tiling of the plane
42-51 reference(s)		A fractal Möbius strip
43-50 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
44-50 reference(s)
The random walk of photons escaping the Sun
45-49 reference(s)		Tridimensional Hilbert Curve -iteration 3-
46-48 reference(s)		Autostereogram with an hidden volcano
47-45 reference(s)		Bidimensional geometrical texture animation
48-44 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
49-44 reference(s)		Isle of the Dead -a Tribute to Arnold Böcklin-
50-44 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
51-43 reference(s)		The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
52-43 reference(s)
The first four iterations of the construction of the von Koch snowflake
53-42 reference(s)		True colors autostereogram of a fractal landscape
54-42 reference(s)		From Mars to the Sun
55-42 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
56-42 reference(s)
Fractal natural form
57-41 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-
58-41 reference(s)		Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
59-40 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
60-39 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
61-39 reference(s)		Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
62-39 reference(s)		From 'geocentrism' to 'heliocentrism'
63-39 reference(s)		The Möbius strip
64-39 reference(s)
Tridimensional zoom in on the Mandelbrot set
65-39 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
66-39 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
67-38 reference(s)		Tridimensional texture animation by means of the Generalized Product
68-38 reference(s)
Bidimensional texture animation by means of the Generalized Product
69-38 reference(s)		Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
70-38 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
71-38 reference(s)		Bidimensional zoom in on the Mandelbrot set
72-37 reference(s)
A fractal aperiodic Penrose tiling
73-37 reference(s)		The Menger Sponge -iteration 5-
74-36 reference(s)		A fractal Klein bottle
75-36 reference(s)		The Lorenz attractor
76-35 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
77-33 reference(s)		An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
78-33 reference(s)		Autostereogram of Monument Valley
79-33 reference(s)		A variable Archimedes spiral displaying 1000 numbers
80-32 reference(s)
A quaternionic Julia set -tridimensional cross-section-
81-32 reference(s)		A fractal vegetal structure -'the Knowledge Tree'-
82-31 reference(s)		Autostereogram with an hidden ring and ghost bows
83-31 reference(s)		Quark and gluon structure of a nucleon
84-30 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
85-29 reference(s)		An aperiodic Penrose tiling of the plane
86-29 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
87-29 reference(s)		Autostereogram with an hidden ring and ghost bows
88-28 reference(s)
An Archimedes spiral displaying 100000 numbers
89-28 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)
90-28 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
91-28 reference(s)		The Jeener-Klein triple bottle
92-28 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
93-27 reference(s)		A fractal vegetal structure
94-26 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
95-26 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
96-26 reference(s)
A 'bidimensional epicycloïdal' pseudo-torus
97-26 reference(s)		The Ptolemaic system -without equant- with a small light grey circle -the epicycle- whose center describes a larger dark grey circle -the deferend- centered on the Earth -blue sphere-
98-26 reference(s)		The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
99-25 reference(s)		The Boy surface
100-25 reference(s)
Fractal natural form
101-25 reference(s)		Light cloud dynamics -this sequence being periodical-
102-25 reference(s)		From Pluto to the Sun (non linear scales)
103-25 reference(s)		The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
104-25 reference(s)
Sixteen interlaced torus
105-25 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
106-25 reference(s)		An aperiodic non linear Penrose tiling of the plane
107-24 reference(s)		A perfect bidimensional fractal tree and the self-similarity
108-24 reference(s)
The Sierpinski Carpet -iteration 1 to 5-
109-24 reference(s)		Bidimensional zoom in on the Mandelbrot set
110-24 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
111-24 reference(s)		An aperiodic Penrose tiling of the plane
112-23 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
113-23 reference(s)		A half-random extended Menger Sponge -iteration 5-
114-23 reference(s)		A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
115-23 reference(s)		Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
116-23 reference(s)
Quantum vacuum fluctuations
117-22 reference(s)		The generalized Ulam spiral displaying 100 numbers
118-22 reference(s)		Portrait (Lena)-7x7 square-
119-22 reference(s)		Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
120-22 reference(s)
Texture animation by means of the generalized Fourier filtering process
121-22 reference(s)		A tridimensionally distorded aperiodic Penrose tiling of the Golden Decagon
122-21 reference(s)		A pay slip
123-21 reference(s)		Synthesis of tridimensional symmetrical geometrical textures
124-21 reference(s)
The pseudo-sphere
125-21 reference(s)		Fractal structure of a nucleon
126-21 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
127-21 reference(s)		Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
128-21 reference(s)




2-The 128 most referenced Pages (*):

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



1-Vcatalogue.11
1573 reference(s)		2-demo_14
1291 reference(s)
3-An2000.01.Fra
763 reference(s)		4-An2000.01.Ang
546 reference(s)
5-Galerie_NumberTheory.FV
452 reference(s)		6-ComplexiteStructurelleClassements.11
432 reference(s)
7-Fractal.11
426 reference(s)		8-DieuScience.01.Fra
418 reference(s)
9-Galerie_DeterministicFractalGeometry.FV
411 reference(s)		10-help.
392 reference(s)
11-MathematiquesModeleOutilArtiste.02.Ang
382 reference(s)		12-AVirtualSpaceTimeTravelMachine.Ang
375 reference(s)
13-create.03.
365 reference(s)		14-AnimFractal.01.
363 reference(s)
15-subject.01.
349 reference(s)		16-Autostereograms.01.
344 reference(s)
17-Stereogrammes_AutoStereogrammes.01
341 reference(s)		18-MathematiquesPhysiqueFractales.22
339 reference(s)
19-DuModeleALImage.02.Fra
328 reference(s)		20-RealNumbers.01.Fra
322 reference(s)
21-MorePages.
322 reference(s)		22-LesApprentisDieux.01
320 reference(s)
23-Fractal.01
319 reference(s)		24-AVirtualSpaceTimeTravelMachine.Fra
317 reference(s)
25-OrdinateurMathematiquesArt.01.Fra
315 reference(s)		26-mail.01.vv
313 reference(s)
27-ExpV_VirE.Fra
308 reference(s)		28-Galerie_DeterministicChaos.FV
305 reference(s)
29-FloatingPointNumbers.01.Fra
305 reference(s)		30-FaireDesMathematiques.01.Fra
304 reference(s)
31-Galerie_GeneralitiesVisualization.FV
299 reference(s)		32-Galerie_SensitivityToRoundingOffErrors.FV
297 reference(s)
33-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
294 reference(s)		34-Galerie_NewPictures.FV
291 reference(s)
35-Galerie_QuantumMechanics.FV
290 reference(s)		36-present.01.
289 reference(s)
37-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
289 reference(s)		38-FaireDeLaRecherche.01.vv
285 reference(s)
39-GoldenTriangle.01.Fra
283 reference(s)		40-MathematiquesPhysiqueFractales.02
281 reference(s)
41-Galerie_Astrophysics.FV
279 reference(s)		42-UlamSpiral.01.Fra
277 reference(s)
43-NDimensionalDeterministicFractalSets.01.Ang
276 reference(s)		44-LOG_xiMc.11
273 reference(s)
45-Fractal.21
273 reference(s)		46-NombresEtLumiere.01.vv.Fra
272 reference(s)
47-Galerie_ArtisticCreation.FV
271 reference(s)		48-FloatingPointNumbers.01.Ang
271 reference(s)
49-NatureDesMathematiques.01.vv.Fra
269 reference(s)		50-MonodimensionalCellularAutomata.01.Fra
269 reference(s)
51-NDimensionalDeterministicFractalSets.01.Fra
266 reference(s)		52-ImagesDuVirtuel.01.Fra
265 reference(s)
53-AProposSite.01.Fra
265 reference(s)		54-Kepler.02.
262 reference(s)
55-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
262 reference(s)		56-ArtScience.01
262 reference(s)
57-copyright.01.
258 reference(s)		58-MathematiquesPhysiqueFractales.12
256 reference(s)
59-SurfaceProjector.01.Ang
254 reference(s)		60-catalogue.11
253 reference(s)
61-SurfaceProjector.01.Fra
252 reference(s)		62-VisualisationRelief.01.vv.Fra
251 reference(s)
63-Spheres.01
251 reference(s)		64-GenieLogiciel.01.Fra
248 reference(s)
65-MonodimensionalCellularAutomata.01.Ang
247 reference(s)		66-Galerie_SignalProcessing.FV
246 reference(s)
67-Galerie_FluidMechanics.FV
243 reference(s)		68-Galerie_ArtAndScience.FV
243 reference(s)
69-UlamSpiral.01.Ang
241 reference(s)		70-Galerie_ParticleSystems.FV
240 reference(s)
71-OrdinateursEtCalculs.01.Fra
238 reference(s)		72-EntrelacsIntertwinings.01.Ang
238 reference(s)
73-IllusionConnaissance.02
237 reference(s)		74-Fractal.03
237 reference(s)
75-Galerie_CelestialMechanics.FV
235 reference(s)		76-ManyChaos.01.Fra
233 reference(s)
77-Galerie_BestOf.FV
232 reference(s)		78-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
230 reference(s)
79-ManyChaos.01.Ang
229 reference(s)		80-ExpV_VirE.11
228 reference(s)
81-infinity.01.vv
227 reference(s)		82-PerteDeLAssociativite.01
227 reference(s)
83-Galerie_Tributes.FV
227 reference(s)		84-OrdinateursEtCalculs.01.Ang
226 reference(s)
85-EntrelacsIntertwinings.01.Fra
225 reference(s)		86-RasoirDOccamEtMathematiques.01.vv.Fra
222 reference(s)
87-ImpossibleStructures.01.Ang
222 reference(s)		88-infinity.02.vv
220 reference(s)
89-QuelquesQuestionsSurLaRecherche.01.Fra
220 reference(s)		90-Fractal.02
220 reference(s)
91-VirtualChaos.01.Fra
219 reference(s)		92-MiseEnSceneDesNombres.01.vv.Fra
219 reference(s)
93-PatrimoineHumanite.02.Fra
217 reference(s)		94-ImpossibleStructures.01.Fra
217 reference(s)
95-GoldenTriangle.01.Ang
217 reference(s)		96-RasoirDOccamEtMathematiques.01.vv.Ang
216 reference(s)
97-MathematiquesEtRepresentations.01.vv.Ang
215 reference(s)		98-ImagesDuVirtuel.01.Fra.FV
214 reference(s)
99-VisitesGaleriesEnfouies.01.Fra
213 reference(s)		100-MathematiquesLangageDuGrandLivreDeLaNature.12
213 reference(s)
101-RemarquesCerveau.01
211 reference(s)		102-VirtualChaos.01.Ang
210 reference(s)
103-ExpV_VirE.Ang
210 reference(s)		104-MiseEnSceneDesNombres.01.vv.Ang
209 reference(s)
105-AQuoiServentLesMathematiques.01
209 reference(s)		106-Galerie_TextureSynthesis.FV
208 reference(s)
107-EnsembleDesGaleriesFractales.DIAPO.0001
208 reference(s)		108-AvantPropos.01.Fra
208 reference(s)
109-Tcatalogue.11
206 reference(s)		110-DecimalesPi_1_100.vv
206 reference(s)
111-EnsembleDesGaleries.DIAPO.0001
205 reference(s)		112-VisitesGaleriesEnfouies.01.Ang
201 reference(s)
113-Pcatalogue.11
201 reference(s)		114-MathematiquesEtCinematographe.01.vv
199 reference(s)
115-AvantPropos.01.Ang
199 reference(s)		116-Informations_AboutPicturesAnimationsAndFiles.01.Ang
194 reference(s)
117-GenieLogiciel_VisualisationScientifique.01.vv
190 reference(s)		118-GenieLogiciel.01.Ang
190 reference(s)
119-Galerie_SalonDAutomne.FV
187 reference(s)		120-Informations_GoodNewsAndBadNews.01.Ang
184 reference(s)
121-Galerie_NumbersAndLight.FV
180 reference(s)		122-an2000
173 reference(s)
123-demo.14
171 reference(s)		124-demo
171 reference(s)
125-VisSci_SciVis.01
171 reference(s)		126-NombresEtLumiere.02.vv.Ang
171 reference(s)
127-Galerie_ImagesDesMathematiques.FV
171 reference(s)		128-demo14
169 reference(s)

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Copyright © Jean-François COLONNA, 2018-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2018-2024.