Monthly Best Of on 06/28/2015




A Bidimensional Hilbert-like Curve defined with {X5(...),Y5(...)} -iteration 5-

Jean-François COLONNA
[Contact me]

www.lactamme.polytechnique.fr

CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, École polytechnique, Institut Polytechnique de Paris, CNRS, France

[Site Map, Help and Search [Plan du Site, Aide et Recherche]]
[The Y2K Bug [Le bug de l'an 2000]]
[Real Numbers don't exist in Computers and Floating Point Computations aren't safe. [Les Nombres Réels n'existent dans les Ordinateurs et les Calculs Flottants ne sont pas sûrs.]]
[Please, visit A Virtual Machine for Exploring Space-Time and Beyond, the place where you can find thousands of pictures and animations between Art and Science]
(CMAP28 WWW site: this page was created on 06/28/2015 and last updated on 11/14/2023 17:48:45 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
1-901 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
2-584 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-534 reference(s)		 Bidimensional Hilbert Curve -iteration 4-
4-427 reference(s)
Tridimensional Hilbert Curve -iteration 3-
5-335 reference(s)		 Happy new year 2000
6-261 reference(s)		 The random walk of photons escaping the Sun
7-254 reference(s)		 Hypercube
8-242 reference(s)
The random walk of photons escaping the Sun
9-237 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
10-191 reference(s)		 Autostereogram with an hidden volcano
11-183 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
12-181 reference(s)
Autostereogram with an hidden volcano
13-172 reference(s)		 Sixteen interlaced torus
14-159 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
15-159 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
16-138 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
17-137 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
18-135 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
19-128 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
20-127 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
21-123 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
22-117 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
23-111 reference(s)		 The Jeener-Klein triple bottle
24-103 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
25-100 reference(s)		 Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
26-90 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
27-88 reference(s)		 Quantum vacuum fluctuations
28-86 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
29-78 reference(s)		 The Bonan-Jeener-Klein triple bottle
30-78 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
31-74 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
32-74 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
33-70 reference(s)		 A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
34-65 reference(s)		 The generalized Ulam spiral
35-65 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
36-65 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
37-63 reference(s)		 Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
38-62 reference(s)		 Artistic view of the prime numbers
39-62 reference(s)		 The random walk of photons escaping the Sun
40-59 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
41-58 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
42-55 reference(s)		 Tridimensional texture animation by means of the Generalized Product
43-53 reference(s)		 Fractal natural form
44-52 reference(s)
True colors autostereogram of a fractal landscape
45-52 reference(s)		 Autostereogram of Monument Valley
46-51 reference(s)		 The bidimensional John Conway's life game
47-50 reference(s)		 Sixteen interlaced fractal torus
48-50 reference(s)
Quark and gluon structure of a nucleon
49-49 reference(s)		 Autostereogram with an hidden volcano
50-48 reference(s)		 Fractal natural form
51-46 reference(s)		 An aperiodic Penrose tiling of the plane
52-45 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
53-45 reference(s)		 Autostereogram with an hidden volcano
54-44 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
55-43 reference(s)		 Autostereogram with an hidden ring and ghost bows
56-43 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
57-43 reference(s)		 An Archimedes spiral displaying 10000 numbers
58-43 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-
59-42 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)
60-42 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
61-41 reference(s)		 Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
62-41 reference(s)		 Tridimensional zoom in on the Mandelbrot set
63-40 reference(s)		 Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
64-39 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
65-39 reference(s)		 Bidimensional texture animation by means of the Generalized Product
66-39 reference(s)		 The Möbius strip
67-39 reference(s)		 Bidimensional geometrical texture animation
68-38 reference(s)
The Scream -a Tribute to Edvard Munch-
69-38 reference(s)		 An Archimedes spiral displaying 5000 numbers
70-38 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
71-38 reference(s)		 From Mars to the Sun
72-38 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
73-38 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
74-37 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
75-37 reference(s)		 Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
76-36 reference(s)
Random quadrangulation of a cube -8x8x8-
77-35 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
78-35 reference(s)		 A fractal hypercube
79-34 reference(s)		 Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
80-32 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
81-30 reference(s)		 Quantum vacuum fluctuations
82-30 reference(s)		 Pseudo Olympic Rings
83-30 reference(s)		 Regular quadrangulation of the volume of a torus -18x18x18-
84-30 reference(s)
Random quadrangulation of the volume of a sphere -18x18x18-
85-30 reference(s)		 A tridimensional periodical fluid with display of velocity histograms
86-29 reference(s)		 A set of 4x3 stereograms of a fractal hypercube
87-29 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
88-28 reference(s)
Synthesis of bidimensional geometrical textures
89-28 reference(s)		 From the infinitely small to the infinitely big
90-28 reference(s)		 Artistic view of the Bonan-Jeener-Klein triple bottle
91-28 reference(s)		 Synthesis of bidimensional geometrical textures
92-27 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
93-27 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
94-27 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
95-27 reference(s)		 The Jeener-Klein triple bottle
96-27 reference(s)
Portrait (Lena)-with a 'OY' symmetry-
97-26 reference(s)		 The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
98-26 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
99-26 reference(s)		 Artistic view of the Big Bang
100-25 reference(s)
An aperiodic Penrose tiling of the plane
101-25 reference(s)		 The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
102-25 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
103-25 reference(s)		 Intertwining
104-24 reference(s)
Fractal 7-foil torus knot
105-24 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
106-24 reference(s)		 The tower -a Tribute to Vladimir Tatline-
107-24 reference(s)		 Monument Valley à la David Hockney
108-23 reference(s)
Tridimensional visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
109-23 reference(s)		 A Tribute to Sandro Botticelli
110-23 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
111-22 reference(s)		 Autostereogram with an hidden volcano
112-22 reference(s)
Monument Valley à la David Hockney
113-22 reference(s)		 Botticelli anomaly on the Moon
114-22 reference(s)		 The Lorenz attractor
115-22 reference(s)		 Tridimensional fractal structure -the space-time foam?-
116-22 reference(s)
A fractal vegetal structure
117-21 reference(s)		 Generation of the 63x63 first Conway's surreal complex numbers
118-21 reference(s)		 A pay slip
119-21 reference(s)		 The generalized Ulam spiral displaying 100 numbers
120-21 reference(s)
A set of 4x3 stereograms of a few Babel Towers
121-21 reference(s)		 The actual Solar System viewed during 243 years from a green virtual planet -this last one approximately belongs to the plane of Pluto and its distance from the Sun equals the one of Pluto-
122-21 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
123-21 reference(s)		 Cauliflowers, seaweeds, shells,... with fog
124-20 reference(s)
The generalized Ulam spiral displaying 2025 numbers
125-20 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
126-20 reference(s)		 A set of 4x3 stereograms of a close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
127-20 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
128-20 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
608 reference(s)		 2-An2000.01.Fra
369 reference(s)
3-help.
327 reference(s)		 4-MathematiquesPhysiqueFractales.22
326 reference(s)
5-Fractal.01
314 reference(s)		 6-FloatingPointNumbers.01.Fra
306 reference(s)
7-Galerie_Tributes.FV
287 reference(s)		 8-Stereogrammes_AutoStereogrammes.01
285 reference(s)
9-GenieLogiciel_VisualisationScientifique.01.vv
265 reference(s)		 10-AVirtualSpaceTimeTravelMachine.Ang
253 reference(s)
11-FaireDeLaRecherche.01.vv
246 reference(s)		 12-ExpV_VirE.21
244 reference(s)
13-RealNumbers.01.Fra
235 reference(s)		 14-NDimensionalDeterministicFractalSets.01.Fra
230 reference(s)
15-MathematiquesPhysiqueFractales.02
224 reference(s)		 16-Galerie_NumberTheory.FV
220 reference(s)
17-Galerie_DeterministicFractalGeometry.FV
220 reference(s)		 18-AVirtualSpaceTimeTravelMachine.Fra
219 reference(s)
19-Galerie_GeneralitiesVisualization.FV
207 reference(s)		 20-UlamSpiral.01.Fra
205 reference(s)
21-ExpV_VirE.11
204 reference(s)		 22-AProposSite.01.Fra
202 reference(s)
23-mail.01.vv
197 reference(s)		 24-Galerie_NewPictures.FV
197 reference(s)
25-Galerie_SignalProcessing.FV
193 reference(s)		 26-infinity.02.vv
191 reference(s)
27-SurfaceProjector.01.Fra
190 reference(s)		 28-copyright.01.
189 reference(s)
29-Vcatalogue.11
188 reference(s)		 30-catalogue.11
186 reference(s)
31-Galerie_ArtisticCreation.FV
185 reference(s)		 32-SurfaceProjector.01.Ang
184 reference(s)
33-Informations_GoodNewsAndBadNews.01.Fra
184 reference(s)		 34-Galerie_ArtAndScience.FV
184 reference(s)
35-ExpV_VirE.Ang
183 reference(s)		 36-AQuoiServentLesMathematiques.01
183 reference(s)
37-NDimensionalDeterministicFractalSets.01.Ang
182 reference(s)		 38-GoldenTriangle.01.Fra
182 reference(s)
39-MonodimensionalCellularAutomata.01.Fra
181 reference(s)		 40-OrdinateursEtCalculs.01.Fra
179 reference(s)
41-MorePages.
179 reference(s)		 42-Galerie_QuantumMechanics.FV
179 reference(s)
43-Galerie_CelestialMechanics.FV
177 reference(s)		 44-DieuScience.01.Fra
176 reference(s)
45-OrdinateursEtCalculs.01.Ang
172 reference(s)		 46-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
172 reference(s)
47-Fractal.03
171 reference(s)		 48-EntrelacsIntertwinings.01.Fra
170 reference(s)
49-EntrelacsIntertwinings.01.Ang
170 reference(s)		 50-Galerie_Astrophysics.FV
169 reference(s)
51-subject.01.
168 reference(s)		 52-fractal.01
168 reference(s)
53-ImpossibleStructures.01.Ang
168 reference(s)		 54-ImagesDuVirtuel.01.Fra.FV
168 reference(s)
55-Galerie_ParticleSystems.FV
167 reference(s)		 56-fairedelarecherche.01.vv
166 reference(s)
57-Galerie_BestOf.FV
166 reference(s)		 58-Fractal.11
166 reference(s)
59-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
165 reference(s)		 60-VirtualChaos.01.Ang
163 reference(s)
61-Galerie_DeterministicChaos.FV
163 reference(s)		 62-AnimFractal.01.
163 reference(s)
63-infinity.01.vv
162 reference(s)		 64-UlamSpiral.01.Ang
162 reference(s)
65-Kepler.02.
162 reference(s)		 66-Galerie_TextureSynthesis.FV
162 reference(s)
67-Autostereograms.01.
162 reference(s)		 68-NatureDesMathematiques.01.vv.Fra
161 reference(s)
69-GenieLogiciel.01.Fra
160 reference(s)		 70-Galerie_FluidMechanics.FV
160 reference(s)
71-RemarquesCerveau.01
158 reference(s)		 72-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
158 reference(s)
73-MathematiquesModeleOutilArtiste.02.Ang
157 reference(s)		 74-ImpossibleStructures.01.Fra
157 reference(s)
75-FloatingPointNumbers.01.Ang
157 reference(s)		 76-VisitesGaleriesEnfouies.01.Ang
155 reference(s)
77-GoldenTriangle.01.Ang
155 reference(s)		 78-OrdinateurMathematiquesArt.01.Fra
154 reference(s)
79-ManyChaos.01.Fra
154 reference(s)		 80-IllusionConnaissance.02
154 reference(s)
81-an2000
153 reference(s)		 82-PatrimoineHumanite.02.Fra
153 reference(s)
83-NombresEtLumiere.01.vv.Fra
152 reference(s)		 84-LOG_xiMc.11
152 reference(s)
85-Spheres.01
151 reference(s)		 86-MonodimensionalCellularAutomata.01.Ang
150 reference(s)
87-EnsembleDesGaleries.DIAPO.0001
150 reference(s)		 88-AvantPropos.01.Ang
150 reference(s)
89-VirtualChaos.01.Fra
149 reference(s)		 90-MathematiquesEtRepresentations.01.vv.Ang
149 reference(s)
91-ManyChaos.01.Ang
149 reference(s)		 92-Galerie_SensitivityToRoundingOffErrors.FV
149 reference(s)
93-Fractal.02
149 reference(s)		 94-EnsembleDesGaleriesFractales.DIAPO.0001
149 reference(s)
95-DuModeleALImage.02.Fra
149 reference(s)		 96-AvantPropos.01.Fra
149 reference(s)
97-VisitesGaleriesEnfouies.01.Fra
148 reference(s)		 98-MathematiquesEtCinematographe.01.vv
148 reference(s)
99-PerteDeLAssociativite.01
147 reference(s)		 100-LesApprentisDieux.01
146 reference(s)
101-QuelquesQuestionsSurLaRecherche.01.Fra
145 reference(s)		 102-realnumbers
144 reference(s)
103-logiciel
144 reference(s)		 104-demo
144 reference(s)
105-create.03.
144 reference(s)		 106-nombresreels
143 reference(s)
107-demo.14
142 reference(s)		 108-genielogiciel
141 reference(s)
109-demo14
141 reference(s)		 110-Informations_AboutPicturesAnimationsAndFiles.01.Ang
140 reference(s)
111-present.01.
127 reference(s)		 112-NombresEtLumiere.02.vv.Ang
126 reference(s)
113-Informations_AboutPicturesAnimationsAndFiles.01.Fra
120 reference(s)		 114-ImagesDuVirtuel.01.Fra
120 reference(s)
115-ArtEtMathematiques.01
120 reference(s)		 116-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
116 reference(s)
117-Galerie_NumbersAndLight.FV
115 reference(s)		 118-Galerie_ImagesDesMathematiques.FV
115 reference(s)
119-ExpV_VirE.Fra
115 reference(s)		 120-Commentaires_ModeleIsingBiDimensionnel.01
114 reference(s)
121-MOSA.JFC.F1.F2.20031207
113 reference(s)		 122-AQuoiServentLesMathematiques.03
113 reference(s)
123-Informations_GoodNewsAndBadNews.01.Ang
111 reference(s)		 124-Galerie_Tributes.DIAPO.0001
110 reference(s)
125-VisSci_SciVis.02
109 reference(s)		 126-MonumentValley.01.Ang
109 reference(s)
127-Galeries.01.vv
109 reference(s)		 128-MathematiquesPhysiqueFractales.01
108 reference(s)

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




Copyright © Jean-François COLONNA, 2015-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2015-2023.