Monthly Best Of on 11/28/2013




Archimedes spirals

Jean-François COLONNA
www.lactamme.polytechnique.fr
jean-francois.colonna@polytechnique.edu
CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, Ecole Polytechnique, CNRS, 91128 Palaiseau Cedex, France

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Contents of this page:


1-The 128 most referenced Pictures:



Sixteen interlaced torus
1-560 reference(s)
Artistic variation on a tridimensional fractal cross -iteration 4-
2-320 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-306 reference(s)
'O temps tes pyramides' -a tribute to Jorge Luis Borges-
4-286 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
5-282 reference(s)
Happy new year 2000
6-282 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
7-173 reference(s)
No Title 0202 -a tribute to Henri Matisse-
8-172 reference(s)
Monument Valley à la David Hockney
9-170 reference(s)
Artistic variation on a tridimensional fractal cross -iteration 2-
10-167 reference(s)
Autostereogram with an hidden volcano
11-166 reference(s)
Artistic view of the prime numbers
12-157 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
13-157 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)
14-150 reference(s)
The random walk of photons escaping the Sun
15-149 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
16-139 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
17-131 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
18-128 reference(s)
Tridimensional Hilbert Curve -iteration 3-
19-113 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
20-108 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-
21-106 reference(s)
Autostereogram with an hidden volcano
22-101 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
23-96 reference(s)
The random walk of photons escaping the Sun
24-93 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
25-92 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
26-91 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
27-91 reference(s)
Quantum vacuum fluctuations
28-87 reference(s)
Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
29-87 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
30-86 reference(s)
Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
31-84 reference(s)
Zoom in on the von Koch curve
32-82 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
33-81 reference(s)
Autostereogram with an hidden ring and ghost bows
34-79 reference(s)
The generalized Ulam spiral
35-79 reference(s)
Tridimensional display of the Riemann Zeta function inside (+0.1,+0.9)x(0,+50)
36-76 reference(s)
Quark and gluon structure of a nucleon
37-74 reference(s)
The Lorenz attractor
38-74 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
39-72 reference(s)
From Pluto to the Sun (non linear scales)
40-71 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
41-71 reference(s)
Autostereogram with an hidden volcano
42-69 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
43-65 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
44-64 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
45-63 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
46-62 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
47-60 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
48-56 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
49-55 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
50-52 reference(s)
Autostereogram with an hidden volcano
51-51 reference(s)
The Scream -a Tribute to Edvard Munch-
52-51 reference(s)
The multiplicative persistence of the 65536 first integer numbers for the bases 2 -lower left- to 17 -upper right-
53-51 reference(s)
The Jeener's triple Klein bottle
54-50 reference(s)
Anaglyph -blue=right, red=left- of a fractal-fractal tree
55-48 reference(s)
Bidimensional Hilbert Curve -iteration 4-
56-46 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
57-46 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
58-46 reference(s)
Isotropic random walk of 64 particles on a tridimensional square lattice
59-43 reference(s)
Quark and gluon structure of a nucleon
60-43 reference(s)
Artistic view of the Big Bang
61-42 reference(s)
Autostereogram with an hidden volcano
62-42 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
63-42 reference(s)
Paradoxal Monument Valley at sunset
64-40 reference(s)
Autostereogram of Monument Valley
65-40 reference(s)
Jean-François Colonna
66-40 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
67-40 reference(s)
Sixteen interlaced fractal torus
68-39 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
69-38 reference(s)
True colors autostereogram of a fractal landscape
70-38 reference(s)
A set of 4x3 stereograms of a fractal hypercube
71-38 reference(s)
Light clouds at sunset
72-38 reference(s)
Along the border of the Mandelbrot set
73-37 reference(s)
Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
74-37 reference(s)
A shell (Jeener surface 1)in motion
75-37 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
76-37 reference(s)
The tower -a tribute to Vladimir Tatline-
77-37 reference(s)
Monument Valley à la David Hockney
78-36 reference(s)
The Goldbach conjecture -the Goldbach glacier- for the even numbers from 6 to 1564
79-36 reference(s)
A fractal hypercube
80-36 reference(s)
Tridimensional visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
81-35 reference(s)
N-body problem integration (N=10)displaying the actual Solar System
82-34 reference(s)
From the infinitely small to the infinitely big
83-33 reference(s)
A 4-cube -an hypercube-
84-33 reference(s)
Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
85-33 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
86-32 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
87-32 reference(s)
The generalized Ulam spiral displaying 100 numbers
88-32 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
89-32 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
90-32 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
91-31 reference(s)
Mountains at sunrise
92-31 reference(s)
No Title 0196
93-30 reference(s)
A variable Archimedes spiral displaying 1000 numbers
94-29 reference(s)
An Archimedes spiral displaying 1000 numbers
95-29 reference(s)
Botticelli anomaly on the Moon
96-29 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Sun point of view-
97-29 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
98-29 reference(s)
A quaternionic Julia set -tridimensional cross-section-
99-29 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
100-29 reference(s)
A Part of the DNA double helix
101-29 reference(s)
Quantum vacuum fluctuations
102-28 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
103-28 reference(s)
Fractal piano keyboard
104-28 reference(s)
Tridimenional display of the Goldbach conjecture
105-28 reference(s)
Tridimensional fractal structure -the space-time foam?-
106-28 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
107-28 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
108-28 reference(s)
The generalized Ulam spiral
109-27 reference(s)
Botticelli anomaly on the Moon
110-27 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
111-27 reference(s)
A pay slip
112-26 reference(s)
The 10.000 first digits -base 10- of 'pi' displayed as an 'absolute' bidimensional random walk
113-26 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
114-26 reference(s)
The Birth of the Universe
115-26 reference(s)
The Bonan-Jeener's triple Klein bottle
116-26 reference(s)
The Jeener's triple Klein bottle
117-26 reference(s)
Recursive intertwining
118-25 reference(s)
Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
119-25 reference(s)
The Ulam spiral displaying 2025 numbers
120-25 reference(s)
Sunny Monument Valley
121-25 reference(s)
No Title 0190
122-25 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
123-25 reference(s)
Hypercube
124-25 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
125-24 reference(s)
From Pluto to the Sun -extrapolation 1- (non linear scales)
126-24 reference(s)
Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
127-24 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
128-24 reference(s)




2-The 128 most referenced Pages:



1-catalogue.11
1367 reference(s)
2-demo_14
516 reference(s)
3-AQuoiServentLesMathematiques.01
480 reference(s)
4-Fractal.01
432 reference(s)
5-aquoiserventlesmathematiques.01
417 reference(s)
6-An2000.01.Fra
392 reference(s)
7-AVirtualSpaceTimeTravelMachine.Ang
385 reference(s)
8-UlamSpiral.01.Fra
327 reference(s)
9-FloatingPointNumbers.01.Fra
323 reference(s)
10-fractal.01
319 reference(s)
11-Stereogrammes_AutoStereogrammes.01
316 reference(s)
12-help.
306 reference(s)
13-FaireDeLaRecherche.01.vv
279 reference(s)
14-Galerie_NumberTheory.FV
257 reference(s)
15-AVirtualSpaceTimeTravelMachine.Fra
256 reference(s)
16-MathematiquesPhysiqueFractales.02
239 reference(s)
17-Galerie_NewPictures.FV
237 reference(s)
18-RealNumbers.01.Fra
233 reference(s)
19-mail.01.vv
222 reference(s)
20-fairedelarecherche.01.vv
219 reference(s)
21-GenieLogiciel_VisualisationScientifique.01.vv
218 reference(s)
22-Galerie_DeterministicFractalGeometry.FV
216 reference(s)
23-Galerie_GeneralitiesVisualization.FV
208 reference(s)
24-copyright.01.
203 reference(s)
25-Galerie_ArtisticCreation.FV
187 reference(s)
26-Galerie_ArtAndScience.FV
183 reference(s)
27-Galerie_QuantumMechanics.FV
181 reference(s)
28-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
181 reference(s)
29-infinity.01.vv
179 reference(s)
30-SurfaceProjector.01.Fra
179 reference(s)
31-ImagesDuVirtuel.01.Fra.FV
179 reference(s)
32-Fractal.11
178 reference(s)
33-NatureDesMathematiques.01.vv.Fra
176 reference(s)
34-demo
173 reference(s)
35-SurfaceProjector.01.Ang
173 reference(s)
36-AProposSite.01.Fra
173 reference(s)
37-MonodimensionalCellularAutomata.01.Fra
172 reference(s)
38-ImpossibleStructures.01.Ang
170 reference(s)
39-GoldenTriangle.01.Fra
170 reference(s)
40-an2000
169 reference(s)
41-ManyChaos.01.Fra
169 reference(s)
42-Galerie_CelestialMechanics.FV
169 reference(s)
43-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
169 reference(s)
44-realnumbers
168 reference(s)
45-MathematiquesPhysiqueFractales.22
168 reference(s)
46-Galerie_DeterministicChaos.FV
167 reference(s)
47-Autostereograms.01.
166 reference(s)
48-NDimensionalDeterministicFractalSets.01.Fra
165 reference(s)
49-Kepler.02.
165 reference(s)
50-ExpV_VirE.21
165 reference(s)
51-DieuScience.01.Fra
165 reference(s)
52-ImpossibleStructures.01.Fra
161 reference(s)
53-IllusionConnaissance.02
161 reference(s)
54-Fractal.03
161 reference(s)
55-FloatingPointNumbers.01.Ang
161 reference(s)
56-AvantPropos.01.Fra
161 reference(s)
57-logiciel
160 reference(s)
58-demo14
160 reference(s)
59-demo.14
160 reference(s)
60-genielogiciel
159 reference(s)
61-MorePages.
159 reference(s)
62-ExpV_VirE.11
159 reference(s)
63-nombresreels
158 reference(s)
64-An2000.01.Ang
158 reference(s)
65-MathematiquesPhysiqueFractales.01
155 reference(s)
66-Galerie_FluidMechanics.FV
154 reference(s)
67-AnimFractal.01.
154 reference(s)
68-An2000.04.Fra
154 reference(s)
69-OrdinateursEtCalculs.01.Fra
152 reference(s)
70-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
152 reference(s)
71-Galerie_Astrophysics.FV
152 reference(s)
72-Informations_GoodNewsAndBadNews.01.Fra
151 reference(s)
73-Informations_AboutPicturesAnimationsAndFiles.01.Ang
151 reference(s)
74-GenieLogiciel.01.Fra
151 reference(s)
75-Galerie_SensitivityToRoundingOffErrors.FV
151 reference(s)
76-Galerie_ParticleSystems.FV
151 reference(s)
77-EnsembleDesGaleriesFractales.DIAPO.0001
151 reference(s)
78-UlamSpiral.01.Ang
150 reference(s)
79-NDimensionalDeterministicFractalSets.01.Ang
150 reference(s)
80-Galerie_BestOf.FV
150 reference(s)
81-EnsembleDesGaleries.DIAPO.0001
150 reference(s)
82-create.03.
149 reference(s)
83-OrdinateurMathematiquesArt.01.Fra
149 reference(s)
84-Galerie_SignalProcessing.FV
149 reference(s)
85-Galerie_Tributes.FV
148 reference(s)
86-EnsembleDesGaleries.DIAPO.0346
148 reference(s)
87-present.01.
147 reference(s)
88-GoldenTriangle.01.Ang
147 reference(s)
89-MonodimensionalCellularAutomata.01.Ang
146 reference(s)
90-EnsembleDesGaleriesFractales.DIAPO.0018
146 reference(s)
91-Galerie_TextureSynthesis.FV
145 reference(s)
92-EntrelacsIntertwinings.01.Fra
145 reference(s)
93-EnsembleDesGaleries.DIAPO.0003
145 reference(s)
94-Informations_GoodNewsAndBadNews.01.Ang
144 reference(s)
95-EntrelacsIntertwinings.01.Ang.DIAPO.0007
144 reference(s)
96-NombresEtLumiere.01.vv.Fra
143 reference(s)
97-EnsembleDesGaleriesFractales.DIAPO.0022
143 reference(s)
98-LOG_xiMc.11
142 reference(s)
99-EntrelacsIntertwinings.01.Ang
142 reference(s)
100-EnsembleDesGaleriesFractales.DIAPO.0163
142 reference(s)
101-EnsembleDesGaleriesFractales.DIAPO.0134
142 reference(s)
102-EnsembleDesGaleriesFractales.DIAPO.0086
142 reference(s)
103-EnsembleDesGaleries.DIAPO.0729
142 reference(s)
104-EntrelacsIntertwinings.01.Ang.DIAPO.0095
141 reference(s)
105-Commentaires_StructuresVivantesRecursives.01
141 reference(s)
106-ExpV_VirE.Fra
140 reference(s)
107-EnsembleDesGaleriesFractales.DIAPO.0166
140 reference(s)
108-EnsembleDesGaleriesFractales.DIAPO.0089
140 reference(s)
109-EnsembleDesGaleriesFractales.DIAPO.0009
140 reference(s)
110-infinity.02.vv
139 reference(s)
111-EnsembleDesGaleriesFractales.DIAPO.0165
139 reference(s)
112-EnsembleDesGaleriesFractales.DIAPO.0164
139 reference(s)
113-EnsembleDesGaleriesFractales.DIAPO.0010
139 reference(s)
114-EnsembleDesGaleries.DIAPO.0151
139 reference(s)
115-EnsembleDesGaleries.DIAPO.0015
139 reference(s)
116-EnsembleDesGaleriesFractales.DIAPO.0178
138 reference(s)
117-subject.01.
137 reference(s)
118-EnsembleDesGaleriesFractales.DIAPO.0153
137 reference(s)
119-EnsembleDesGaleriesFractales.DIAPO.0087
137 reference(s)
120-EnsembleDesGaleriesFractales.DIAPO.0007
137 reference(s)
121-EnsembleDesGaleries.DIAPO.0014
137 reference(s)
122-RemarquesCerveau.01
136 reference(s)
123-EntrelacsIntertwinings.01.Ang.DIAPO.0090
136 reference(s)
124-EnsembleDesGaleriesFractales.DIAPO.0015
136 reference(s)
125-EnsembleDesGaleriesFractales.DIAPO.0011
136 reference(s)
126-EnsembleDesGaleries.DIAPO.0021
136 reference(s)
127-NDimensionalDeterministicFractalSets.01.Ang.DIAPO.0011
135 reference(s)
128-Galerie_AnthropomorphicPatterns.DIAPO.0017
135 reference(s)

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Copyright (c) Jean-François Colonna, 2013-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2013-2018.