Monthly Best Of on 05/28/2014




A Tridimensional Hilbert-like Curve defined with {X5(...),Y5(...),Z5(...)} and based on an 'open' 7-foil torus knot -iteration 5-

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 05/28/2014 and last updated on 11/14/2023 17:48:31 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



A tridimensional fractal manifold defined by means of three tridimensional fields
1-1181 reference(s)		 The tridimensional Ising Model with 2-state spins, temperature=0.2, random initial conditions and an increasing number of iterations -from 100 to 4000-
2-1158 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
3-516 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-470 reference(s)
Sixteen interlaced torus
5-301 reference(s)		 Happy new year 2000
6-236 reference(s)		 Tridimensional Hilbert Curve -iteration 3-
7-235 reference(s)		 The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
8-231 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
9-231 reference(s)		 Bidimensional Hilbert Curve -iteration 4-
10-179 reference(s)		 The random walk of photons escaping the Sun
11-142 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
12-141 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
13-141 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
14-140 reference(s)		 Artistic view of the prime numbers
15-130 reference(s)		 Zoom in on the von Koch curve
16-123 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
17-123 reference(s)		 Autostereogram with an hidden volcano
18-120 reference(s)		 Autostereogram with an hidden volcano
19-117 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
20-116 reference(s)
Autostereogram with an hidden volcano
21-109 reference(s)		 The random walk of photons escaping the Sun
22-97 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
23-95 reference(s)		 The generalized Ulam spiral
24-93 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
25-88 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)
26-84 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
27-82 reference(s)		 Quantum vacuum fluctuations
28-78 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
29-77 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
30-75 reference(s)		 The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
31-75 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
32-71 reference(s)
The Lorenz attractor
33-67 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
34-65 reference(s)		 Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
35-64 reference(s)		 The 126.646 first digits -base 6- of 'phi' -the golden ratio- displayed as an 'absolute' tridimensional random walk
36-63 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
37-61 reference(s)		 The Jeener-Klein triple bottle
38-61 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
39-59 reference(s)		 A Peano 'fractal plane' defined by means of three bidimensional fields
40-59 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
41-56 reference(s)		 Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
42-55 reference(s)		 The Scream -a Tribute to Edvard Munch-
43-54 reference(s)		 Fractal structure of a nucleon
44-53 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
45-52 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
46-51 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
47-50 reference(s)		 Quark and gluon structure of a nucleon
48-48 reference(s)
The Universe at the heart of a Calabi-Yau manifold
49-46 reference(s)		 Autostereogram with an hidden volcano
50-43 reference(s)		 Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
51-43 reference(s)		 Hypercube
52-43 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
53-42 reference(s)		 From Pluto to the Sun (non linear scales)
54-41 reference(s)		 An aperiodic Penrose tiling of the plane
55-40 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
56-40 reference(s)
Monument Valley à la David Hockney
57-40 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
58-40 reference(s)		 The 126.646 first digits -base 6- of the square root of 2 - displayed as an 'absolute' tridimensional random walk
59-38 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
60-38 reference(s)
Autostereogram with an hidden ring and ghost bows
61-37 reference(s)		 Quark and gluon structure of the nucleon
62-37 reference(s)		 A fractal hypercube
63-37 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
64-36 reference(s)
Animation of a sunrise on mountains
65-36 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
66-35 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
67-35 reference(s)		 The tower -a Tribute to Vladimir Tatline-
68-35 reference(s)
Quantum vacuum fluctuations
69-34 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
70-34 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
71-34 reference(s)		 True colors autostereogram of a fractal landscape
72-33 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
73-33 reference(s)		 The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
74-33 reference(s)		 Along the border of the Mandelbrot set
75-32 reference(s)		 Where is the Universe?
76-31 reference(s)
Untitled 0206
77-31 reference(s)		 A punched paper tape
78-31 reference(s)		 Rotation about the Y (vertical)axis of the 1-foil torus knot on its torus and its asociated Möbius strip, that can also be viewed as a set of 4x3 stereograms
79-31 reference(s)		 Sixteen interlaced fractal torus
80-31 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
81-31 reference(s)		 Where is the Multiverse?
82-30 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
83-30 reference(s)		 From the infinitely small to the infinitely big
84-30 reference(s)
Artistic variation on a tridimensional fractal cross -iteration 2-
85-30 reference(s)		 Untitled 0205
86-29 reference(s)		 Fractal natural form
87-29 reference(s)		 An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
88-29 reference(s)
Botticelli anomaly on the Moon
89-29 reference(s)		 The non linear transformation of the coordinates in the Solar System
90-29 reference(s)		 Tridimensional fractal structure -the space-time foam?-
91-29 reference(s)		 Autostereogram with an hidden ring and ghost bows
92-28 reference(s)
Quark and gluon structure of a nucleon
93-28 reference(s)		 A set of 4x3 stereograms of a fractal hypercube
94-28 reference(s)		 The Bonan-Jeener-Klein triple bottle
95-28 reference(s)		 Artistic view of the Big Bang
96-27 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
97-27 reference(s)		 Rotation about the Y (vertical)axis of the Jeener-Klein triple bottle that can also be viewed as a set of 4x3 stereograms
98-27 reference(s)		 Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
99-27 reference(s)		 Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
100-27 reference(s)
An Archimedes spiral displaying 100000 numbers
101-26 reference(s)		 Autostereogram of Monument Valley
102-26 reference(s)		 Close-up on a foggy 'MandelBox' -tridimensional cross-section-
103-26 reference(s)		 Tridimensional visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
104-26 reference(s)
Bidimensional brownian motion -the colors used (magenta,red,yellow,green,cyan)are an increasing function of the time- and its 'external border' -white-
105-26 reference(s)		 Double bidimensional rectangular billiard with 64 isotropic particles and without collisions
106-25 reference(s)		 The extended Borromean Rings
107-25 reference(s)		 A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
108-25 reference(s)
A set of 4x3 stereograms of a tridimensional visualization of the Verhulst dynamics
109-25 reference(s)		 The Lorenz attractor
110-25 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
111-25 reference(s)		 display of the Lyapunov exponent computed for different iteration numbers of a Julia set
112-25 reference(s)
Jean-François COLONNA (on 11/17/1994)with its fractal mountains
113-25 reference(s)		 Autostereogram with an hidden volcano
114-24 reference(s)		 A twisting Lissajous surface
115-24 reference(s)		 A twisting rope
116-24 reference(s)
The generalized Ulam spiral displaying 100 numbers
117-24 reference(s)		 Botticelli anomaly on the Moon
118-24 reference(s)		 Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
119-24 reference(s)		 Rotation about the Y (vertical)axis of the 3-foil torus knot on its torus, that can also be viewed as a set of 4x3 stereograms
120-24 reference(s)
Artistic view of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0) -a Tribute to José Hernández- -tridimensional cross-section-
121-24 reference(s)		 The fire of life -a Tribute to Francis Crick, Rosalind Franklin and James Watson-
122-24 reference(s)		 Fractal 7-foil torus knot
123-24 reference(s)		 Tridimensional fractal structure
124-24 reference(s)
Artictic view of the Ptolemaic system
125-24 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
126-23 reference(s)		 Autostereogram with an hidden volcano and an animated disguise texture
127-23 reference(s)		 Animation of bidimensional textures by means of the self-transformation of a gaussian field
128-23 reference(s)




2-The 128 most referenced Pages (*):

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



1-Fractal.01
548 reference(s)		 2-demo_14
457 reference(s)
3-An2000.01.Fra
419 reference(s)		 4-AQuoiServentLesMathematiques.01
333 reference(s)
5-AVirtualSpaceTimeTravelMachine.Ang
331 reference(s)		 6-help.
315 reference(s)
7-FloatingPointNumbers.01.Fra
313 reference(s)		 8-fractal.01
307 reference(s)
9-Stereogrammes_AutoStereogrammes.01
291 reference(s)		 10-MorePages.
279 reference(s)
11-Galerie_DeterministicFractalGeometry.FV
249 reference(s)		 12-aquoiserventlesmathematiques.01
243 reference(s)
13-FaireDeLaRecherche.01.vv
243 reference(s)		 14-Galerie_ArtAndScience.FV
238 reference(s)
15-RealNumbers.01.Fra
236 reference(s)		 16-MathematiquesPhysiqueFractales.02
227 reference(s)
17-copyright.01.
221 reference(s)		 18-Galerie_NumberTheory.FV
221 reference(s)
19-Galerie_NewPictures.FV
216 reference(s)		 20-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
208 reference(s)
21-UlamSpiral.01.Fra
207 reference(s)		 22-Galerie_Tributes.FV
206 reference(s)
23-Galerie_GeneralitiesVisualization.FV
204 reference(s)		 24-Galerie_CelestialMechanics.FV
200 reference(s)
25-AVirtualSpaceTimeTravelMachine.Fra
200 reference(s)		 26-SurfaceProjector.01.Ang
195 reference(s)
27-GenieLogiciel_VisualisationScientifique.01.vv
194 reference(s)		 28-Galerie_ArtisticCreation.FV
194 reference(s)
29-GoldenTriangle.01.Fra
193 reference(s)		 30-ImagesDuVirtuel.01.Fra.FV
189 reference(s)
31-SurfaceProjector.01.Fra
188 reference(s)		 32-AProposSite.01.Fra
188 reference(s)
33-mail.01.vv
186 reference(s)		 34-FloatingPointNumbers.01.Ang
186 reference(s)
35-catalogue.11
185 reference(s)		 36-Autostereograms.01.
184 reference(s)
37-infinity.01.vv
181 reference(s)		 38-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
180 reference(s)
39-LOG_xiMc.11
180 reference(s)		 40-OrdinateursEtCalculs.01.Fra
177 reference(s)
41-Galerie_ParticleSystems.FV
177 reference(s)		 42-NDimensionalDeterministicFractalSets.01.Fra
176 reference(s)
43-NDimensionalDeterministicFractalSets.01.Ang
176 reference(s)		 44-ExpV_VirE.11
176 reference(s)
45-Kepler.02.
175 reference(s)		 46-create.03.
174 reference(s)
47-Galerie_DeterministicChaos.FV
174 reference(s)		 48-Galerie_Astrophysics.FV
174 reference(s)
49-NatureDesMathematiques.01.vv.Fra
173 reference(s)		 50-DieuScience.01.Fra
173 reference(s)
51-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
173 reference(s)		 52-subject.01.
172 reference(s)
53-DuModeleALImage.02.Fra
172 reference(s)		 54-EntrelacsIntertwinings.01.Ang
171 reference(s)
55-MathematiquesPhysiqueFractales.22
170 reference(s)		 56-GoldenTriangle.01.Ang
170 reference(s)
57-Galerie_SignalProcessing.FV
169 reference(s)		 58-Galerie_BestOf.FV
169 reference(s)
59-AnimFractal.01.
169 reference(s)		 60-infinity.02.vv
168 reference(s)
61-VirtualChaos.01.Ang
168 reference(s)		 62-MonodimensionalCellularAutomata.01.Ang
168 reference(s)
63-GenieLogiciel.01.Fra
167 reference(s)		 64-Galerie_TextureSynthesis.FV
167 reference(s)
65-Galerie_QuantumMechanics.FV
167 reference(s)		 66-Fractal.11
167 reference(s)
67-fairedelarecherche.01.vv
163 reference(s)		 68-Fractal.03
163 reference(s)
69-OrdinateursEtCalculs.01.Ang
162 reference(s)		 70-MonodimensionalCellularAutomata.01.Fra
162 reference(s)
71-PatrimoineHumanite.02.Fra
161 reference(s)		 72-Informations_AboutPicturesAnimationsAndFiles.01.Ang
161 reference(s)
73-ExpV_VirE.Ang
161 reference(s)		 74-Galerie_SensitivityToRoundingOffErrors.FV
160 reference(s)
75-ManyChaos.01.Fra
159 reference(s)		 76-realnumbers
158 reference(s)
77-ImpossibleStructures.01.Fra
158 reference(s)		 78-IllusionConnaissance.02
157 reference(s)
79-NombresEtLumiere.01.vv.Fra
156 reference(s)		 80-LesApprentisDieux.01
156 reference(s)
81-genielogiciel
155 reference(s)		 82-OrdinateurMathematiquesArt.01.Fra
155 reference(s)
83-nombresreels
154 reference(s)		 84-demo
154 reference(s)
85-MathematiquesModeleOutilArtiste.02.Ang
154 reference(s)		 86-ExpV_VirE.21
154 reference(s)
87-EntrelacsIntertwinings.01.Fra
154 reference(s)		 88-ImpossibleStructures.01.Ang
153 reference(s)
89-an2000
152 reference(s)		 90-VirtualChaos.01.Fra
152 reference(s)
91-UlamSpiral.01.Ang
152 reference(s)		 92-MathematiquesEtRepresentations.01.vv.Ang
152 reference(s)
93-logiciel
151 reference(s)		 94-Galerie_FluidMechanics.FV
151 reference(s)
95-demo.14
149 reference(s)		 96-demo14
148 reference(s)
97-Informations_GoodNewsAndBadNews.01.Fra
148 reference(s)		 98-EnsembleDesGaleriesFractales.DIAPO.0001
148 reference(s)
99-Spheres.01
147 reference(s)		 100-AvantPropos.01.Fra
147 reference(s)
101-present.01.
146 reference(s)		 102-EnsembleDesGaleries.DIAPO.0001
146 reference(s)
103-RemarquesCerveau.01
145 reference(s)		 104-PerteDeLAssociativite.01
145 reference(s)
105-Vcatalogue.11
144 reference(s)		 106-VisitesGaleriesEnfouies.01.Fra
141 reference(s)
107-VisitesGaleriesEnfouies.01.Ang
141 reference(s)		 108-ManyChaos.01.Ang
141 reference(s)
109-AvantPropos.01.Ang
141 reference(s)		 110-MathematiquesEtCinematographe.01.vv
140 reference(s)
111-Fractal.02
138 reference(s)		 112-QuelquesQuestionsSurLaRecherche.01.Fra
137 reference(s)
113-ExpV_VirE.01.Fra
130 reference(s)		 114-VisSci_SciVis.02
128 reference(s)
115-Commentaires_ProblemeDesNCorps.01
127 reference(s)		 116-Commentaires_NKleinBottle.01
127 reference(s)
117-Informations_AboutPicturesAnimationsAndFiles.01.Fra
126 reference(s)		 118-demo_14.FV
124 reference(s)
119-ImagesDuVirtuel.01.Fra
124 reference(s)		 120-Galerie_ImagesDesMathematiques.FV
123 reference(s)
121-ExpV_VirE.Fra
123 reference(s)		 122-ArtScience.11.Fra
123 reference(s)
123-AQuoiServentLesMathematiques.03
123 reference(s)		 124-xrq_____hydrogene.61.K.
122 reference(s)
125-AQuoiServentLesMathematiques.02
122 reference(s)		 126-MathematiquesPhysiqueFractales.01
121 reference(s)
127-Informations_GoodNewsAndBadNews.01.Ang
120 reference(s)		 128-IllusionConnaissance.01
120 reference(s)

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




Copyright © Jean-François COLONNA, 2014-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2014-2023.