Monthly Best Of on 02/28/2016




Tridimensional Hilbert Curve -iterations 1 to 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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(CMAP28 WWW site: this page was created on 02/28/2016 and last updated on 10/03/2024 17:03:11 -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
1-821 reference(s)		Hypercube
2-793 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
3-449 reference(s)		Bidimensional Hilbert Curve -iteration 4-
4-394 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
5-257 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
6-257 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
7-243 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
8-241 reference(s)
Tridimensional Hilbert Curve -iteration 3-
9-226 reference(s)		Happy new year 2000
10-225 reference(s)		Autostereogram with an hidden volcano
11-215 reference(s)		Autostereogram with an hidden volcano
12-180 reference(s)
Sixteen interlaced torus
13-166 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
14-161 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
15-152 reference(s)		The Bonan-Jeener-Klein triple bottle
16-151 reference(s)
An aperiodic Penrose tiling of the Golden Decagon
17-112 reference(s)		A Peano 'fractal plane' defined by means of three bidimensional fields
18-109 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
19-107 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
20-104 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
21-103 reference(s)		The random walk of photons escaping the Sun
22-102 reference(s)		The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
23-102 reference(s)		An aperiodic Penrose tiling of the plane
24-101 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
25-96 reference(s)		The Jeener-Klein triple bottle
26-93 reference(s)		Autostereogram with an hidden volcano
27-89 reference(s)		Artistic view of the prime numbers
28-89 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
29-89 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
30-86 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
31-82 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
32-81 reference(s)
The random walk of photons escaping the Sun
33-77 reference(s)		Quark and gluon structure of a nucleon
34-77 reference(s)		The random walk of photons escaping the Sun
35-75 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
36-75 reference(s)
Quantum vacuum fluctuations
37-74 reference(s)		An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
38-69 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
39-62 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
40-60 reference(s)
Fractal natural form
41-58 reference(s)		True colors autostereogram of a fractal landscape
42-58 reference(s)		Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
43-55 reference(s)		The generalized Ulam spiral
44-50 reference(s)
The bidimensional John Conway's life game
45-50 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
46-48 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
47-48 reference(s)		Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
48-48 reference(s)
Autostereogram with an hidden volcano
49-47 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
50-46 reference(s)		Fractal synthesis of mountains with vegetation and stormy clouds
51-45 reference(s)		Tridimensional zoom in on the Mandelbrot set
52-42 reference(s)
Autostereogram with an hidden volcano
53-41 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-
54-41 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
55-41 reference(s)		Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
56-40 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
57-39 reference(s)		From Mars to the Sun
58-39 reference(s)		From 'geocentrism' to 'heliocentrism'
59-39 reference(s)		Pseudo Olympic Rings
60-38 reference(s)
Autostereogram of Monument Valley
61-38 reference(s)		The Möbius strip
62-38 reference(s)		Sixteen interlaced fractal torus
63-38 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
64-37 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
65-37 reference(s)		Tridimensional texture animation by means of the Generalized Product
66-37 reference(s)		Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
67-37 reference(s)		Bidimensional geometrical texture animation
68-36 reference(s)
Bidimensional texture animation by means of the Generalized Product
69-36 reference(s)		Untitled 0101
70-35 reference(s)		A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
71-35 reference(s)		Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
72-35 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
73-35 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
74-35 reference(s)		The Klein bottle
75-34 reference(s)		Portrait (Lena)-with a 'OY' symmetry-
76-34 reference(s)
A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
77-34 reference(s)		Autostereogram with an hidden ring and ghost bows
78-33 reference(s)		Fractal natural form
79-32 reference(s)		Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
80-32 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
81-32 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
82-31 reference(s)		Artistic view of a 3-foil torus knot
83-30 reference(s)		A quaternionic Julia set -tridimensional cross-section-
84-30 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
85-28 reference(s)		Tridimensional display of the inflationary Universe
86-28 reference(s)		A fractal hypercube
87-28 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
88-28 reference(s)
From the infinitely small to the infinitely big
89-28 reference(s)		The first four iterations of the construction of the von Koch snowflake
90-27 reference(s)		An aperiodic Penrose tiling of the plane
91-27 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-
92-27 reference(s)
Artistic view of a binary tree with 256 leaves
93-26 reference(s)		The Scream -a Tribute to Edvard Munch-
94-26 reference(s)		Tridimensional Hilbert Curve -iterations 1 to 3-
95-26 reference(s)		Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
96-25 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)
97-25 reference(s)		Bidimensional zoom in on the Mandelbrot set
98-25 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
99-24 reference(s)		Quark and gluon structure of a nucleon
100-24 reference(s)
A fractal aperiodic Penrose tiling
101-23 reference(s)		The abelian -commutative- group defined on elliptic curves
102-23 reference(s)		Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,...)obtained by means of a non deterministic fractal process
103-23 reference(s)		The tower -a Tribute to Vladimir Tatline-
104-23 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
105-22 reference(s)		An Archimedes spiral displaying 5000 numbers
106-22 reference(s)		Synthesis of bidimensional geometrical textures
107-22 reference(s)		A set of 4x3 stereograms of a fractal hypercube
108-22 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
109-22 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
110-22 reference(s)		Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
111-21 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
112-21 reference(s)
Synthesis of bidimensional texture by means of Fourier filtering
113-21 reference(s)		A pay slip
114-20 reference(s)		Animation of a natural form
115-20 reference(s)		Monument Valley à la David Hockney
116-20 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
117-19 reference(s)		The Solar System with a dark blue virtual planet -heliocentric point of view-
118-19 reference(s)		N-body problem integration (N=10)displaying the actual Solar System
119-19 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
120-19 reference(s)
Autostereogram with an hidden ring and ghost bows
121-18 reference(s)		The extended Borromean Rings
122-18 reference(s)		The generalized Ulam spiral displaying 100 numbers
123-18 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
124-18 reference(s)
Artistic view of a sphere
125-17 reference(s)		The set of bidimensional fields defining the 'Y' coordinate of an interpolation between the Klein bottle and a 'double sphere'
126-17 reference(s)		The generalized Ulam spiral displaying 1024 numbers
127-17 reference(s)		Mysterious structures in the desert
128-17 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
624 reference(s)		2-An2000.01.Fra
371 reference(s)
3-FloatingPointNumbers.01.Fra
336 reference(s)		4-Stereogrammes_AutoStereogrammes.01
303 reference(s)
5-GenieLogiciel_VisualisationScientifique.01.vv
283 reference(s)		6-Fractal.01
282 reference(s)
7-help.
275 reference(s)		8-RealNumbers.01.Fra
267 reference(s)
9-AVirtualSpaceTimeTravelMachine.Ang
265 reference(s)		10-AQuoiServentLesMathematiques.01
261 reference(s)
11-Galerie_NumberTheory.FV
257 reference(s)		12-Galerie_DeterministicFractalGeometry.FV
254 reference(s)
13-FaireDeLaRecherche.01.vv
236 reference(s)		14-MathematiquesPhysiqueFractales.02
231 reference(s)
15-mail.01.vv
224 reference(s)		16-NDimensionalDeterministicFractalSets.01.Fra
222 reference(s)
17-copyright.01.
214 reference(s)		18-AVirtualSpaceTimeTravelMachine.Fra
214 reference(s)
19-MathematiquesPhysiqueFractales.22
209 reference(s)		20-GoldenTriangle.01.Fra
208 reference(s)
21-Galerie_GeneralitiesVisualization.FV
205 reference(s)		22-Galerie_ArtAndScience.FV
205 reference(s)
23-UlamSpiral.01.Fra
203 reference(s)		24-Vcatalogue.11
199 reference(s)
25-AProposSite.01.Fra
199 reference(s)		26-MorePages.
198 reference(s)
27-Kepler.02.
198 reference(s)		28-SurfaceProjector.01.Ang
195 reference(s)
29-NDimensionalDeterministicFractalSets.01.Ang
193 reference(s)		30-Galerie_QuantumMechanics.FV
193 reference(s)
31-SurfaceProjector.01.Fra
191 reference(s)		32-MonodimensionalCellularAutomata.01.Fra
189 reference(s)
33-Galerie_NewPictures.FV
189 reference(s)		34-OrdinateursEtCalculs.01.Fra
188 reference(s)
35-ExpV_VirE.11
187 reference(s)		36-Galerie_ArtisticCreation.FV
186 reference(s)
37-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
185 reference(s)		38-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
185 reference(s)
39-Fractal.11
183 reference(s)		40-FloatingPointNumbers.01.Ang
183 reference(s)
41-GenieLogiciel.01.Fra
182 reference(s)		42-EntrelacsIntertwinings.01.Ang
181 reference(s)
43-ImagesDuVirtuel.01.Fra.FV
179 reference(s)		44-OrdinateurMathematiquesArt.01.Fra
177 reference(s)
45-DuModeleALImage.02.Fra
176 reference(s)		46-infinity.01.vv
174 reference(s)
47-EntrelacsIntertwinings.01.Fra
174 reference(s)		48-subject.01.
173 reference(s)
49-NombresEtLumiere.01.vv.Fra
173 reference(s)		50-Galerie_SignalProcessing.FV
172 reference(s)
51-Galerie_ParticleSystems.FV
172 reference(s)		52-Galerie_BestOf.FV
172 reference(s)
53-catalogue.11
171 reference(s)		54-MonodimensionalCellularAutomata.01.Ang
171 reference(s)
55-IllusionConnaissance.02
171 reference(s)		56-Fractal.03
170 reference(s)
57-DieuScience.01.Fra
170 reference(s)		58-Informations_GoodNewsAndBadNews.01.Fra
169 reference(s)
59-ImpossibleStructures.01.Fra
169 reference(s)		60-Galerie_DeterministicChaos.FV
168 reference(s)
61-AnimFractal.01.
168 reference(s)		62-NatureDesMathematiques.01.vv.Fra
167 reference(s)
63-MiseEnSceneDesNombres.01.vv.Fra
166 reference(s)		64-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
166 reference(s)
65-ImpossibleStructures.01.Ang
164 reference(s)		66-Galerie_CelestialMechanics.FV
164 reference(s)
67-VirtualChaos.01.Fra
163 reference(s)		68-Galerie_FluidMechanics.FV
163 reference(s)
69-GoldenTriangle.01.Ang
162 reference(s)		70-VisitesGaleriesEnfouies.01.Ang
161 reference(s)
71-LOG_xiMc.11
161 reference(s)		72-Galerie_Astrophysics.FV
161 reference(s)
73-Autostereograms.01.
161 reference(s)		74-LesApprentisDieux.01
160 reference(s)
75-infinity.02.vv
159 reference(s)		76-UlamSpiral.01.Ang
159 reference(s)
77-OrdinateursEtCalculs.01.Ang
159 reference(s)		78-Galerie_TextureSynthesis.FV
159 reference(s)
79-QuelquesQuestionsSurLaRecherche.01.Fra
158 reference(s)		80-EnsembleDesGaleriesFractales.DIAPO.0001
158 reference(s)
81-VisitesGaleriesEnfouies.01.Fra
157 reference(s)		82-VisualisationRelief.01.vv.Fra
156 reference(s)
83-VirtualChaos.01.Ang
156 reference(s)		84-Galerie_SensitivityToRoundingOffErrors.FV
156 reference(s)
85-create.03.
155 reference(s)		86-PerteDeLAssociativite.01
155 reference(s)
87-Fractal.02
155 reference(s)		88-EnsembleDesGaleries.DIAPO.0001
155 reference(s)
89-RemarquesCerveau.01
154 reference(s)		90-AvantPropos.01.Fra
154 reference(s)
91-AvantPropos.01.Ang
154 reference(s)		92-ManyChaos.01.Fra
153 reference(s)
93-Spheres.01
151 reference(s)		94-MathematiquesEtRepresentations.01.vv.Ang
151 reference(s)
95-MathematiquesEtCinematographe.01.vv
151 reference(s)		96-Galerie_Tributes.FV
151 reference(s)
97-ExpV_VirE.Ang
149 reference(s)		98-PatrimoineHumanite.02.Fra
146 reference(s)
99-ManyChaos.01.Ang
146 reference(s)		100-MathematiquesModeleOutilArtiste.02.Ang
145 reference(s)
101-MiseEnSceneDesNombres.01.vv.Ang
144 reference(s)		102-nombresreels
143 reference(s)
103-an2000
143 reference(s)		104-realnumbers
142 reference(s)
105-genielogiciel
142 reference(s)		106-demo14
142 reference(s)
107-demo
142 reference(s)		108-logiciel
141 reference(s)
109-demo.14
140 reference(s)		110-ComplexiteStructurelleClassements.01
139 reference(s)
111-ExpV_VirE.21
138 reference(s)		112-Galerie_NumbersAndLight.FV
128 reference(s)
113-present.01.
126 reference(s)		114-MathematiquesPhysiqueFractales.01
123 reference(s)
115-Galerie_ImagesDesMathematiques.FV
121 reference(s)		116-Informations_AboutPicturesAnimationsAndFiles.01.Ang
119 reference(s)
117-NombresEtLumiere.02.vv.Ang
115 reference(s)		118-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
107 reference(s)
119-PerteDeLAssociativite.01.MUL3
105 reference(s)		120-PerteDeLAssociativite.01.ADD3
105 reference(s)
121-MOSA.JFC.F1.F2.20031207
105 reference(s)		122-Informations_AboutPicturesAnimationsAndFiles.01.Fra
104 reference(s)
123-ImagesDuVirtuel.01.Fra
103 reference(s)		124-AVirtualSpaceTimeTravelMachine.Fra.FV
103 reference(s)
125-xrq_____hydrogene.61.K.
102 reference(s)		126-MOSA.PAYS.u9.M.20031207
102 reference(s)
127-Galerie_GeneralitiesVisualization
102 reference(s)		128-EnsembleDesGaleries.DIAPO
102 reference(s)

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




Copyright © Jean-François COLONNA, 2016-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2016-2024.