Monthly Best Of on 11/28/2015




The 8 first decimals -base 10- of 'pi' on a Tridimensional Hilbert Curve -iteration 1-

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 11/28/2015 and last updated on 10/03/2024 17:03:09 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Tridimensional representation of a quadridimensional Calabi-Yau manifold
1-1057 reference(s)		Hypercube
2-959 reference(s)		Bidimensional Hilbert Curve -iteration 4-
3-716 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
4-501 reference(s)
The random walk of photons escaping the Sun
5-465 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
6-340 reference(s)		Tridimensional Hilbert Curve -iteration 3-
7-316 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
8-246 reference(s)
Sixteen interlaced torus
9-242 reference(s)		Happy new year 2000
10-211 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
11-202 reference(s)		Autostereogram with an hidden volcano
12-196 reference(s)
Autostereogram with an hidden volcano
13-187 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
14-176 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
15-173 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
16-168 reference(s)
The random walk of photons escaping the Sun
17-166 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
18-164 reference(s)		The Jeener-Klein triple bottle
19-145 reference(s)		The Bonan-Jeener-Klein triple bottle
20-135 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
21-115 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
22-104 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
23-102 reference(s)		A Peano 'fractal plane' defined by means of three bidimensional fields
24-98 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
25-91 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
26-88 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
27-88 reference(s)		The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
28-87 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
29-85 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
30-80 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
31-79 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
32-79 reference(s)
Autostereogram with an hidden volcano
33-75 reference(s)		Quantum vacuum fluctuations
34-74 reference(s)		The random walk of photons escaping the Sun
35-72 reference(s)		From the infinitely small to the infinitely big
36-71 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
37-69 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
38-66 reference(s)		Quark and gluon structure of a nucleon
39-66 reference(s)		The bidimensional John Conway's life game
40-63 reference(s)
Sixteen interlaced fractal torus
41-62 reference(s)		Fractal natural form
42-61 reference(s)		Artistic view of the prime numbers
43-57 reference(s)		Autostereogram with an hidden ring and ghost bows
44-56 reference(s)
Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
45-54 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
46-53 reference(s)		Fractal natural form
47-52 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
48-51 reference(s)
The generalized Ulam spiral
49-51 reference(s)		A fractal hypercube
50-50 reference(s)		An aperiodic Penrose tiling of the plane
51-49 reference(s)		Autostereogram with an hidden volcano
52-48 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-
53-47 reference(s)		Tridimensional display of the inflationary Universe
54-46 reference(s)		Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
55-45 reference(s)		From 'geocentrism' to 'heliocentrism'
56-45 reference(s)
Tridimensional zoom in on the Mandelbrot set
57-45 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
58-45 reference(s)		Bidimensional geometrical texture animation
59-44 reference(s)		Tridimensional texture animation by means of the Generalized Product
60-44 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
61-44 reference(s)		From Mars to the Sun
62-44 reference(s)		The ABC conjecture
63-44 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
64-43 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
65-43 reference(s)		The Möbius strip
66-43 reference(s)		Tridimensional fractal structure -the space-time foam?-
67-43 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
68-43 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
69-42 reference(s)		Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
70-42 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
71-42 reference(s)		Bidimensional texture animation by means of the Generalized Product
72-41 reference(s)
Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
73-41 reference(s)		Autostereogram with an hidden volcano
74-40 reference(s)		Tridimensional visualization of the Verhulst dynamics with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
75-40 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
76-40 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
77-39 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)
78-39 reference(s)		The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
79-39 reference(s)		Fractal structure of a nucleon
80-38 reference(s)
Autostereogram of Monument Valley
81-38 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
82-36 reference(s)		2000 evenly distributed points on a sphere by means of the Fibonacci spiral
83-35 reference(s)		The Scream -a Tribute to Edvard Munch-
84-34 reference(s)
Tridimensional visualization of the Verhulst dynamics with a tridimensional non linear transformation of the coordinates
85-34 reference(s)		True colors autostereogram of a fractal landscape
86-33 reference(s)		Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
87-33 reference(s)		A quaternionic Julia set -tridimensional cross-section-
88-33 reference(s)
An Archimedes spiral displaying 5000 numbers
89-32 reference(s)		Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
90-32 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
91-31 reference(s)		A set of 4x3 stereograms of a fractal hypercube
92-31 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
93-31 reference(s)		Pseudo Olympic Rings
94-29 reference(s)		From Pluto to the Sun (non linear scales)
95-29 reference(s)		Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
96-29 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
97-28 reference(s)		A punched paper tape
98-28 reference(s)		A set of 4x3 stereograms of a few Babel Towers
99-28 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-
100-28 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
101-28 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
102-28 reference(s)		Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
103-27 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
104-27 reference(s)
Rotation about the Y (vertical)axis of the CMAP logo that can also be viewed as a set of 4x3 stereograms
105-27 reference(s)		Heterogeneous -tridimensional gaussian field- random non linear meshing of a cube
106-27 reference(s)		Quark and gluon dynamics of the nucleon
107-26 reference(s)		Anaglyph -blue=right, red=left- of a fractal hypercube
108-26 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
109-25 reference(s)		Quark and gluon structure of a nucleon
110-25 reference(s)		Bidimensional zoom in on the Mandelbrot set
111-25 reference(s)		The Lorenz attractor
112-25 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
113-25 reference(s)		LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
114-25 reference(s)		The tower -a Tribute to Vladimir Tatline-
115-25 reference(s)		Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
116-24 reference(s)
Recursive intertwining
117-24 reference(s)		Ile de Science -a Tribute to Pierre Vasseur-
118-24 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
119-23 reference(s)		The Birth of the Universe
120-23 reference(s)
Causal set obtained by means of an homogeneous random meshing of a cube
121-23 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
122-23 reference(s)		Volcano
123-23 reference(s)		Artistic view of the Big Bang
124-22 reference(s)
The pseudo-sphere
125-22 reference(s)		A set of 4x3 stereograms of a tridimensional interpolation between a fractal structure and a cubic mesh
126-22 reference(s)		An aperiodic Penrose tiling of the plane
127-21 reference(s)		From Pluto to the Sun -extrapolation 2-
128-21 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
779 reference(s)		2-Vcatalogue.11
484 reference(s)
3-An2000.01.Fra
423 reference(s)		4-Stereogrammes_AutoStereogrammes.01
419 reference(s)
5-FloatingPointNumbers.01.Fra
321 reference(s)		6-Fractal.01
315 reference(s)
7-help.
295 reference(s)		8-AVirtualSpaceTimeTravelMachine.Ang
292 reference(s)
9-FaireDeLaRecherche.01.vv
253 reference(s)		10-RealNumbers.01.Fra
248 reference(s)
11-Galerie_NumberTheory.FV
245 reference(s)		12-MathematiquesPhysiqueFractales.02
242 reference(s)
13-GenieLogiciel_VisualisationScientifique.01.vv
230 reference(s)		14-Galerie_DeterministicFractalGeometry.FV
227 reference(s)
15-MorePages.
223 reference(s)		16-Informations_GoodNewsAndBadNews.01.Fra
222 reference(s)
17-AQuoiServentLesMathematiques.01
219 reference(s)		18-ExpV_VirE.11
218 reference(s)
19-AVirtualSpaceTimeTravelMachine.Fra
217 reference(s)		20-mail.01.vv
212 reference(s)
21-UlamSpiral.01.Fra
208 reference(s)		22-Galerie_GeneralitiesVisualization.FV
200 reference(s)
23-OrdinateursEtCalculs.01.Fra
197 reference(s)		24-MonodimensionalCellularAutomata.01.Fra
195 reference(s)
25-Galerie_ArtAndScience.FV
193 reference(s)		26-SurfaceProjector.01.Ang
191 reference(s)
27-NDimensionalDeterministicFractalSets.01.Fra
191 reference(s)		28-AProposSite.01.Fra
188 reference(s)
29-Galerie_NewPictures.FV
183 reference(s)		30-GoldenTriangle.01.Fra
181 reference(s)
31-FloatingPointNumbers.01.Ang
181 reference(s)		32-copyright.01.
180 reference(s)
33-Galerie_QuantumMechanics.FV
178 reference(s)		34-an2000
176 reference(s)
35-SurfaceProjector.01.Fra
176 reference(s)		36-MathematiquesPhysiqueFractales.22
175 reference(s)
37-demo
172 reference(s)		38-Galerie_ArtisticCreation.FV
172 reference(s)
39-realnumbers
171 reference(s)		40-nombresreels
171 reference(s)
41-logiciel
171 reference(s)		42-genielogiciel
171 reference(s)
43-demo14
171 reference(s)		44-demo.14
171 reference(s)
45-ImpossibleStructures.01.Fra
169 reference(s)		46-ExpV_VirE.21
169 reference(s)
47-Fractal.03
163 reference(s)		48-ImagesDuVirtuel.01.Fra.FV
162 reference(s)
49-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
162 reference(s)		50-AnimFractal.01.
162 reference(s)
51-Fractal.11
161 reference(s)		52-present.01.
160 reference(s)
53-NDimensionalDeterministicFractalSets.01.Ang
159 reference(s)		54-Autostereograms.01.
159 reference(s)
55-Galerie_SignalProcessing.FV
158 reference(s)		56-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
158 reference(s)
57-Galerie_Astrophysics.FV
157 reference(s)		58-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
156 reference(s)
59-Kepler.02.
156 reference(s)		60-Galerie_DeterministicChaos.FV
154 reference(s)
61-NatureDesMathematiques.01.vv.Fra
152 reference(s)		62-MathematiquesPhysiqueFractales.01
152 reference(s)
63-GenieLogiciel.01.Fra
152 reference(s)		64-Galerie_ParticleSystems.FV
152 reference(s)
65-NombresEtLumiere.01.vv.Fra
151 reference(s)		66-EntrelacsIntertwinings.01.Fra
151 reference(s)
67-EntrelacsIntertwinings.01.Ang
150 reference(s)		68-DieuScience.01.Fra
150 reference(s)
69-catalogue.11
149 reference(s)		70-Galerie_BestOf.FV
149 reference(s)
71-Fractal.02
149 reference(s)		72-Galerie_CelestialMechanics.FV
148 reference(s)
73-infinity.01.vv
147 reference(s)		74-AvantPropos.01.Fra
147 reference(s)
75-infinity.02.vv
144 reference(s)		76-VirtualChaos.01.Fra
144 reference(s)
77-LOG_xiMc.11
144 reference(s)		78-OrdinateurMathematiquesArt.01.Fra
142 reference(s)
79-GoldenTriangle.01.Ang
142 reference(s)		80-subject.01.
141 reference(s)
81-UlamSpiral.01.Ang
141 reference(s)		82-ImpossibleStructures.01.Ang
141 reference(s)
83-IllusionConnaissance.02
141 reference(s)		84-create.03.
140 reference(s)
85-VirtualChaos.01.Ang
140 reference(s)		86-MathematiquesModeleOutilArtiste.02.Ang
140 reference(s)
87-An2000.04.Fra
140 reference(s)		88-PerteDeLAssociativite.01
139 reference(s)
89-VisitesGaleriesEnfouies.01.Fra
138 reference(s)		90-VisitesGaleriesEnfouies.01.Ang
138 reference(s)
91-ManyChaos.01.Ang
138 reference(s)		92-Informations_AboutPicturesAnimationsAndFiles.01.Ang
138 reference(s)
93-Galerie_TextureSynthesis.FV
138 reference(s)		94-EnsembleDesGaleriesFractales.DIAPO.0001
138 reference(s)
95-Spheres.01
137 reference(s)		96-Galerie_FluidMechanics.FV
137 reference(s)
97-EnsembleDesGaleries.DIAPO.0001
137 reference(s)		98-RemarquesCerveau.01
136 reference(s)
99-OrdinateursEtCalculs.01.Ang
136 reference(s)		100-ManyChaos.01.Fra
136 reference(s)
101-Informations_AboutPicturesAnimationsAndFiles.01.Fra
136 reference(s)		102-Galerie_SensitivityToRoundingOffErrors.FV
136 reference(s)
103-LesApprentisDieux.01
135 reference(s)		104-ImagesDuVirtuel.01.Fra
135 reference(s)
105-MonodimensionalCellularAutomata.01.Ang
134 reference(s)		106-DuModeleALImage.02.Fra
134 reference(s)
107-Galerie_Tributes.FV
132 reference(s)		108-ExpV_VirE.Ang
132 reference(s)
109-AQuoiServentLesMathematiques.03
131 reference(s)		110-AvantPropos.01.Ang
129 reference(s)
111-QuelquesQuestionsSurLaRecherche.01.Fra
128 reference(s)		112-ArtEtMathematiques.01
128 reference(s)
113-MathematiquesEtRepresentations.01.vv.Ang
127 reference(s)		114-PerteDeLAssociativite.01.ADD3
126 reference(s)
115-PatrimoineHumanite.02.Fra
126 reference(s)		116-MiseEnSceneDesNombres.01.vv.Ang
126 reference(s)
117-Commentaires_NKleinBottle.01
126 reference(s)		118-MonumentValley.01.Ang
125 reference(s)
119-MathematiquesEtCinematographe.01.vv
125 reference(s)		120-MiseEnSceneDesNombres.01.vv.Fra
124 reference(s)
121-ExpV_VirE.Fra
124 reference(s)		122-ArtScience.11.Fra
124 reference(s)
123-VisSci_SciVis.01
123 reference(s)		124-ExpV_VirE.01.Fra
122 reference(s)
125-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
122 reference(s)		126-xrq_____hydrogene.61.K.
121 reference(s)
127-Galerie_GeneralitiesVisualization.DIAPO.0094
121 reference(s)		128-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
121 reference(s)

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




Copyright © Jean-François COLONNA, 2015-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2015-2024.