Monthly Best Of on 04/28/2011




A straigth line -a monodimensional manifold- or a cylinder -a bidimensional manifold- in the distance?

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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(CMAP28 WWW site: this page was created on 04/28/2011 and last updated on 06/30/2018 14:04:46 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Tridimensional representation of a hexadimensional Calabi-Yau manifold
1-195 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
2-172 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-165 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-116 reference(s)
The random walk of photons escaping the Sun
5-104 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
6-103 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
7-94 reference(s)
Zoom in on the von Koch curve
8-88 reference(s)
The random walk of photons escaping the Sun
9-88 reference(s)
The Lorenz attractor
10-81 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
11-81 reference(s)
Quark and gluon structure of a nucleon
12-79 reference(s)
Artistic view of the prime numbers
13-72 reference(s)
Quantum vacuum fluctuations
14-69 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
15-69 reference(s)
The Scream -a Tribute to Edvard Munch-
16-64 reference(s)
Texture animation by means of the generalized Fourier filtering process
17-64 reference(s)
Autostereogram with an hidden volcano
18-60 reference(s)
Quark and gluon structure of a nucleon
19-60 reference(s)
The random walk of photons escaping the Sun
20-59 reference(s)
Paradoxal Monument Valley at sunset
21-59 reference(s)
From the infinitely small to the infinitely big
22-57 reference(s)
The Möbius strip
23-53 reference(s)
Intertwining
24-50 reference(s)
Autostereogram with an hidden volcano
25-45 reference(s)
A tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
26-42 reference(s)
Hypercube
27-40 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
28-39 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
29-37 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0) (bird's-eye view)
30-34 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
31-33 reference(s)
Tridimensional visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
32-32 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
33-32 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
34-29 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
35-29 reference(s)
Along the border of the Mandelbrot set
36-28 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
37-28 reference(s)
The trajectories of bidimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to a vertical field of gravity
38-28 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
39-28 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-
40-28 reference(s)
A shell (Jeener surface 1)in motion
41-28 reference(s)
Artistic view of the Big Bang
42-27 reference(s)
The Syracuse conjecture for U(0)={1,2,3,4,...,262144}
43-27 reference(s)
Autostereogram with an hidden volcano
44-27 reference(s)
Jean-François Colonna
45-27 reference(s)
Botticelli anomaly on the Moon
46-26 reference(s)
Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
47-26 reference(s)
Autostereogram with an hidden ring and ghost bows
48-25 reference(s)
True colors autostereogram of a fractal landscape
49-25 reference(s)
Recursive intertwining
50-24 reference(s)
Autostereogram with an hidden volcano
51-24 reference(s)
Autostereogram of Monument Valley
52-24 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)
53-24 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
54-24 reference(s)
A fractal mountain using a gaussian model with various standard deviation values (decreasing from 0.06 to 0.02)
55-23 reference(s)
From Pluto to the Sun (non linear scales)
56-23 reference(s)
The Birth of the Universe
57-23 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
58-22 reference(s)
The generalized Ulam spiral displaying 100 numbers
59-22 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
60-22 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
61-22 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
62-22 reference(s)
Beautiful self-similarity
63-21 reference(s)
Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
64-21 reference(s)
The normal field of a fractal surface defined by means of three bidimensional fields
65-21 reference(s)
Autostereogram with an hidden volcano
66-20 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
67-20 reference(s)
Quark and gluon dynamics of the nucleon
68-19 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
69-19 reference(s)
The Jeener's triple Klein bottle
70-19 reference(s)
Recursive 5-star
71-18 reference(s)
Animation of the artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
72-18 reference(s)
From Pluto to the Sun -extrapolation 2- (non linear scales)
73-18 reference(s)
Tridimensional zoom in on the Mandelbrot set with mapping of the arguments
74-18 reference(s)
Rotation about the X axis of the Lorenz attractor
75-18 reference(s)
The bidimensional Ising Model with 2-state spins, temperature=0.2 and random initial conditions
76-18 reference(s)
Along the border of the Mandelbrot set
77-17 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
78-17 reference(s)
Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
79-17 reference(s)
Cloudy Mandelbrot set
80-17 reference(s)
Tridimensional fractal structure in a tridimensional torus
81-17 reference(s)
Bidimensional brownian motion with three different distribution laws regarding the radial coordinate -60 points starting from the white point at the picture center-
82-17 reference(s)
Mountains at sunrise
83-16 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
84-16 reference(s)
Tridimensional visualization of the Verhulst dynamics
85-16 reference(s)
Tridimensional visualization of the Verhulst dynamics
86-16 reference(s)
The Lorenz attractor
87-16 reference(s)
Electron-positron scattering
88-16 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
89-16 reference(s)
Artistic view of a binomial multiplicative cascade with ponderations equal to 0.3 -left- and 1-0.3=0.7 -right-
90-16 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
91-15 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
92-15 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
93-15 reference(s)
Recursive pentagon
94-15 reference(s)
Alien
95-15 reference(s)
Fractal natural form
96-15 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
97-15 reference(s)
'There is a war' -a Tribute to Leonard Cohen-
98-15 reference(s)
The generalized Ulam spiral displaying 1024 numbers
99-15 reference(s)
The generalized Ulam spiral
100-15 reference(s)
Animation of a sunrise on mountains
101-15 reference(s)
A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-'the children round' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
102-15 reference(s)
Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
103-15 reference(s)
Bidimensional visualization of the Verhulst dynamics
104-15 reference(s)
Bidimensional brownian motion with a gaussian distribution law regarding the radial coordinate
105-15 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
106-14 reference(s)
A variable Archimedes spiral displaying 1000 numbers
107-14 reference(s)
A dynamic fractal surface (four iterations)defined by means of three sets of bidimensional fields
108-14 reference(s)
Mountains at sunrise
109-14 reference(s)
Different modes of representation of a tridimensional cross-section of a Quaternionic Julia set
110-14 reference(s)
Close-up on a foggy 'MandelBox' -tridimensional cross-section-
111-14 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
112-14 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
113-14 reference(s)
Tridimensional fractal structure
114-14 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
115-13 reference(s)
Paradoxal black hole
116-13 reference(s)
Fractal intertwining
117-13 reference(s)
The random walk of photons escaping the Sun
118-13 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
119-13 reference(s)
Tridimensional visualization of the Verhulst dynamics
120-13 reference(s)
Tridimensional visualization of the Verhulst dynamics
121-13 reference(s)
The monsters of the lily pond
122-13 reference(s)
Double impossible staircase
123-13 reference(s)
A shell (Jeener surface 1)
124-13 reference(s)
Fractal diffusion front in a bidimensional medium obtained by means of a random walk process
125-13 reference(s)
The 5x5=25 patches of the tridimensional representation of a quadridimensional Calabi-Yau manifold
126-13 reference(s)
Rotation about the Y (vertical)axis of a tridimensional brownian motion that can also be viewed as a set of 4x3 stereograms
127-13 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0)
128-12 reference(s)




2-The 128 most referenced Pages:



1-demo_14
1108 reference(s)
2-AVirtualSpaceTimeTravelMachine.Ang
498 reference(s)
3-An2000.01.Fra
395 reference(s)
4-Fractal.01
329 reference(s)
5-MathematiquesPhysiqueFractales.02
325 reference(s)
6-SurfaceProjector.01.Ang
307 reference(s)
7-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
303 reference(s)
8-Vcatalogue.11
295 reference(s)
9-help.
291 reference(s)
10-Galerie_ArtisticCreation.FV
290 reference(s)
11-GenieLogiciel_VisualisationScientifique.01.vv
283 reference(s)
12-AQuoiServentLesMathematiques.01
279 reference(s)
13-Galerie_DeterministicFractalGeometry.FV
271 reference(s)
14-SurfaceProjector.01.Fra
262 reference(s)
15-FloatingPointNumbers.01.Fra
257 reference(s)
16-mail.01.vv
252 reference(s)
17-AVirtualSpaceTimeTravelMachine.Fra
252 reference(s)
18-Galerie_ParticleSystems.FV
249 reference(s)
19-present.01.
241 reference(s)
20-Galerie_GeneralitiesVisualization.FV
240 reference(s)
21-DieuScience.01.Fra
237 reference(s)
22-NDimensionalDeterministicFractalSets.01.Ang
234 reference(s)
23-Autostereograms.01.
233 reference(s)
24-Stereogrammes_AutoStereogrammes.01
231 reference(s)
25-Galerie_QuantumMechanics.FV
229 reference(s)
26-FloatingPointNumbers.01.Ang
229 reference(s)
27-Informations_AboutPicturesAnimationsAndFiles.01.Ang
227 reference(s)
28-Galerie_ArtAndScience.FV
227 reference(s)
29-ExpV_VirE.11
225 reference(s)
30-infinity.01.vv
224 reference(s)
31-EnsembleDesGaleries.DIAPO.0001
224 reference(s)
32-NDimensionalDeterministicFractalSets.01.Fra
223 reference(s)
33-ImpossibleStructures.01.Ang
223 reference(s)
34-IllusionConnaissance.02
223 reference(s)
35-NatureDesMathematiques.01.vv.Fra
221 reference(s)
36-AnimFractal.01.
221 reference(s)
37-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
220 reference(s)
38-Galerie_NumberTheory.FV
220 reference(s)
39-AProposSite.01.Fra
220 reference(s)
40-GenieLogiciel.01.Fra
215 reference(s)
41-Galerie_NewPictures.FV
215 reference(s)
42-ExpV_VirE.01.Fra
215 reference(s)
43-MonodimensionalCellularAutomata.01.Fra
214 reference(s)
44-ArtScience.11.Fra
212 reference(s)
45-infinity.02.vv
211 reference(s)
46-Galerie_DeterministicFractalGeometry.DIAPO.0061
210 reference(s)
47-Galerie_DeterministicFractalGeometry.DIAPO.0046
210 reference(s)
48-Galerie_BestOf.FV
210 reference(s)
49-FaireDeLaRecherche.01.vv
210 reference(s)
50-Commentaires_EspaceLyapunovComplexe.01
210 reference(s)
51-AQuoiServentLesMathematiques.03
210 reference(s)
52-ExpV_VirE.21
209 reference(s)
53-EnsembleDesGaleriesFractales.DIAPO.0001
209 reference(s)
54-PatrimoineHumanite.02.Fra
208 reference(s)
55-Galerie_DeterministicFractalGeometry.DIAPO.0050
208 reference(s)
56-Galerie_DeterministicFractalGeometry.DIAPO.0045
208 reference(s)
57-Galerie_DeterministicFractalGeometry.DIAPO.0042
208 reference(s)
58-Commentaires_ProblemeDesNCorps.01
208 reference(s)
59-Galerie_DeterministicFractalGeometry.DIAPO.0048
207 reference(s)
60-copyright.01.
206 reference(s)
61-ImagesDuVirtuel.01.Fra
206 reference(s)
62-Galerie_DeterministicFractalGeometry.DIAPO.0055
206 reference(s)
63-Galerie_DeterministicFractalGeometry.DIAPO.0053
206 reference(s)
64-Galerie_DeterministicFractalGeometry.DIAPO.0051
206 reference(s)
65-Galerie_DeterministicFractalGeometry.DIAPO.0047
206 reference(s)
66-Galerie_DeterministicFractalGeometry.DIAPO.0043
206 reference(s)
67-Galerie_DeterministicFractalGeometry.DIAPO.0041
206 reference(s)
68-Galerie_DeterministicFractalGeometry.DIAPO.0060
205 reference(s)
69-Galerie_DeterministicFractalGeometry.DIAPO.0044
205 reference(s)
70-Galerie_DeterministicFractalGeometry.DIAPO.0040
205 reference(s)
71-Galerie_CollaborativeWorks..FV
205 reference(s)
72-Galerie_DeterministicFractalGeometry.DIAPO.0049
204 reference(s)
73-Galerie_DeterministicFractalGeometry.DIAPO.0037
204 reference(s)
74-Galerie_ArtAndScience.DIAPO.0161
204 reference(s)
75-Galerie_ArtAndScience.DIAPO.0160
204 reference(s)
76-EntrelacsIntertwinings.01.Fra
204 reference(s)
77-An2000.04.Fra
204 reference(s)
78-catalogue.11
203 reference(s)
79-MathematiquesPhysiqueFractales.01
203 reference(s)
80-Informations_GoodNewsAndBadNews.01.Fra
203 reference(s)
81-Galerie_DeterministicFractalGeometry.DIAPO.0059
203 reference(s)
82-Galerie_DeterministicFractalGeometry.DIAPO.0058
203 reference(s)
83-Galerie_DeterministicFractalGeometry.DIAPO.0057
203 reference(s)
84-Galerie_DeterministicFractalGeometry.DIAPO.0056
203 reference(s)
85-Galerie_DeterministicFractalGeometry.DIAPO.0054
203 reference(s)
86-Galerie_DeterministicFractalGeometry.DIAPO.0052
203 reference(s)
87-Galerie_DeterministicFractalGeometry.DIAPO.0039
203 reference(s)
88-Galerie_ArtAndScience.DIAPO.0162
203 reference(s)
89-RealNumbers.01.Fra
202 reference(s)
90-Galerie_ArtAndScience.DIAPO.0164
202 reference(s)
91-Galerie_ArtAndScience.DIAPO.0163
202 reference(s)
92-VisSci_SciVis.02
201 reference(s)
93-Galerie_DeterministicFractalGeometry.DIAPO.0038
201 reference(s)
94-Galerie_DeterministicFractalGeometry.DIAPO.0036
201 reference(s)
95-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
201 reference(s)
96-Galerie_ArtAndScience.DIAPO.0166
200 reference(s)
97-Galerie_ArtAndScience.DIAPO.0159
200 reference(s)
98-Galerie_DeterministicChaos.FV
199 reference(s)
99-Galerie_ArtAndScience.DIAPO.0165
199 reference(s)
100-Galerie_ArtAndScience.DIAPO.0158
199 reference(s)
101-DuReelAuVirtuel.01.Fra
199 reference(s)
102-LumiereVirtuelleParadoxale.01
198 reference(s)
103-Galerie_ArtisticCreation.DIAPO.0189
198 reference(s)
104-Commentaires_EnsembleMandelbrotComplexe.01
197 reference(s)
105-Commentaires_DefinitionComplexes.01
197 reference(s)
106-Galerie_DeterministicFractalGeometry.DIAPO.0034
196 reference(s)
107-real.01.vv.
195 reference(s)
108-Informations_AboutPicturesAnimationsAndFiles.01.Fra
195 reference(s)
109-Galerie_DeterministicFractalGeometry.DIAPO.0033
195 reference(s)
110-Galerie_CelestialMechanics.FV
195 reference(s)
111-Galerie_ArtisticCreation.DIAPO.0188
195 reference(s)
112-Galerie_ArtisticCreation.DIAPO.0187
195 reference(s)
113-Galerie_ArtisticCreation.DIAPO.0177
195 reference(s)
114-Commentaires_Tore.01
195 reference(s)
115-Commentaires_ProblemeDesNAimants.01
195 reference(s)
116-Commentaires_NKleinBottle.02
195 reference(s)
117-ImagesDuVirtuel.01.Fra.FV
194 reference(s)
118-Galerie_DeterministicFractalGeometry.DIAPO.0035
194 reference(s)
119-Galerie_ArtAndScience.DIAPO.0157
194 reference(s)
120-ArtOrdinateur.01
194 reference(s)
121-Galerie_SalonDAutomne.FV
193 reference(s)
122-Galerie_ArtisticCreation.DIAPO.0191
193 reference(s)
123-Galerie_ArtisticCreation.DIAPO.0179
193 reference(s)
124-Galerie_ArtisticCreation.DIAPO.0178
193 reference(s)
125-MonumentValley.01.Ang
192 reference(s)
126-ManyChaos.01.Ang
192 reference(s)
127-Galerie_ArtisticCreation.DIAPO.0184
192 reference(s)
128-Galerie_ArtisticCreation.DIAPO.0181
192 reference(s)

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




Copyright (c) Jean-François Colonna, 2011-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2011-2018.