Monthly Best Of on 07/28/2012




The Gate

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 07/28/2012 and last updated on 06/30/2018 14:05:37 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



A quaternionic Julia set -tridimensional cross-section-
1-159 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-150 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
3-94 reference(s)
Zoom in on the von Koch curve
4-83 reference(s)
Fractal diffusion front in a bidimensional medium obtained by means of a random walk process
5-72 reference(s)
Artistic view of the prime numbers
6-71 reference(s)
Mystery mountain at sunrise
7-70 reference(s)
Mountains at sunrise
8-67 reference(s)
Mystery cliffs at sunrise
9-66 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
10-66 reference(s)
The random walk of photons escaping the Sun
11-62 reference(s)
Fractal structure of a nucleon
12-60 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
13-54 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
14-52 reference(s)
The Lorenz attractor
15-51 reference(s)
An interpolation between a rectangle and a torus
16-50 reference(s)
Quark and gluon structure of a nucleon
17-41 reference(s)
From the infinitely small to the infinitely big
18-38 reference(s)
The random walk of photons escaping the Sun
19-36 reference(s)
Quaternionic butterfly with extended arithmetics -a tribute to Laurent Schwartz-
20-34 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
21-33 reference(s)
Intertwining
22-28 reference(s)
Autostereogram with an hidden volcano
23-28 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
24-26 reference(s)
Quantum vacuum fluctuations
25-23 reference(s)
The generalized Ulam spiral displaying 100 numbers
26-23 reference(s)
Happy new year 2000
27-23 reference(s)
Paradoxal Monument Valley at sunset
28-22 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
29-22 reference(s)
Along the border of the Mandelbrot set
30-21 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
31-21 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
32-21 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
33-21 reference(s)
Quark and gluon dynamics of the nucleon
34-20 reference(s)
Pseudo Olympic Rings
35-20 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
36-20 reference(s)
Botticelli anomaly on the Moon
37-19 reference(s)
Animation of a sunrise on mountains
38-19 reference(s)
Quark and gluon structure of a nucleon
39-19 reference(s)
Rotation about the Y (vertical)axis of the 7-foil torus knot on its torus, that can also be viewed as a set of 4x3 stereograms
40-19 reference(s)
7-foil torus knot on its torus
41-19 reference(s)
Autostereogram with an hidden volcano
42-18 reference(s)
From Pluto to the Sun (non linear scales)
43-18 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
44-18 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
45-18 reference(s)
The Möbius strip
46-17 reference(s)
Jean-François Colonna
47-17 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
48-17 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
49-17 reference(s)
Artistic view of the Big Bang
50-16 reference(s)
Self-Portrait with intertwining
51-16 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
52-16 reference(s)
An interpolation between a rectangle and a cylinder
53-16 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
54-16 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
55-16 reference(s)
Along the border of the Mandelbrot set
56-15 reference(s)
Autostereogram with an hidden volcano
57-15 reference(s)
Mountains at sunrise
58-15 reference(s)
Clouds
59-15 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
60-15 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
61-15 reference(s)
Hypercube
62-15 reference(s)
Double impossible staircase and a paradoxal structure
63-15 reference(s)
Bidimensional brownian motion with a gaussian distribution law regarding the radial coordinate
64-15 reference(s)
The Jeener's triple Klein bottle
65-15 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
66-14 reference(s)
Autostereogram with an hidden ring and ghost bows
67-14 reference(s)
An interpolation between a cylinder and a torus
68-14 reference(s)
No Title 0156
69-14 reference(s)
The generalized Ulam spiral displaying 1024 numbers
70-14 reference(s)
La Génèse (1974)
71-14 reference(s)
A shell (Jeener surface 1)in motion
72-14 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
73-14 reference(s)
Autostereogram with an hidden volcano
74-13 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
75-13 reference(s)
A tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
76-13 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
77-13 reference(s)
1-foil torus knot -obvious knot- on its torus and its asociated Möbius strip
78-13 reference(s)
A set of 4x3 stereograms of the quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
79-13 reference(s)
2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
80-13 reference(s)
Birds and fishes
81-13 reference(s)
Electron-positron scattering
82-13 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
83-13 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
84-13 reference(s)
Tridimensional display of the Riemann Zeta function inside (+0.1,+0.9)x(0,+50)
85-12 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0) (bird's-eye view)
86-12 reference(s)
Quantum vacuum fluctuations
87-12 reference(s)
Generation of the 63x63 first Conway's surreal complex numbers
88-12 reference(s)
Animation of a natural form
89-12 reference(s)
A 'fractal plane' with overhangings defined by means of three bidimensional fields
90-12 reference(s)
Monument Valley at sunrise
91-12 reference(s)
Rotation about the X axis of the Lorenz attractor
92-12 reference(s)
A gradient of 114299 particles obtains by means of a tridimensional diffusion process
93-12 reference(s)
Fractal diffusion front in a bidimensional medium obtained by means of a random walk process
94-12 reference(s)
Steep island at sunset
95-12 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
96-12 reference(s)
Paradoxal structure based on the geometry of the Boy surface
97-11 reference(s)
Bidimensional fractal aggregate obtained by means of a 50% pasting process during collisions of particles submitted to an attractive central field of gravity
98-11 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
99-11 reference(s)
The Eratosthene sieve displaying 100x100 numbers
100-11 reference(s)
The generalized Ulam spiral
101-11 reference(s)
A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(0,1,0,0,0,0,0,0) and with a locally variable exponent between 2 and 12 -tridimensional cross-section-
102-11 reference(s)
Archimedes mountains (bird's-eye view)
103-11 reference(s)
Beyond the Gate
104-11 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
105-11 reference(s)
Mountains and light clouds
106-11 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)
107-11 reference(s)
The Nympheas -a tribute to Claude Monet-
108-11 reference(s)
Autostereogram -using periodical light clouds as desguise texture- with a hidden gaussian mountain
109-11 reference(s)
Tridimensional fractal structure
110-11 reference(s)
Foggy 'anti-island'
111-11 reference(s)
Universe or Multiverse -The fractal Universe-?
112-10 reference(s)
No Title 0154
113-10 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
114-10 reference(s)
Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
115-10 reference(s)
The trajectories of tridimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to a vertical field of gravity
116-10 reference(s)
Brownian motion of a few heavy slow particles inside a gaz of fast light particles with increasing mass ratio (heavy/light=1,10,100,1000)
117-10 reference(s)
The Borromean Rings
118-10 reference(s)
The Borromean Rings
119-10 reference(s)
The generalized Ulam spiral
120-10 reference(s)
The Eratosthene sieve displaying 10x10 numbers
121-10 reference(s)
Mountains and fog
122-10 reference(s)
Foggy Archimedes mountains
123-10 reference(s)
Foggy Cliffs
124-10 reference(s)
Foggy Cliffs
125-10 reference(s)
Autostereogram of Monument Valley
126-10 reference(s)
Octonionic clovers with extended arithmetics
127-10 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one marsian year -Earth point of view and zoom on the four first planets-
128-10 reference(s)




2-The 128 most referenced Pages:



1-demo_14
703 reference(s)
2-An2000.01.Fra
391 reference(s)
3-AVirtualSpaceTimeTravelMachine.Ang
347 reference(s)
4-Autostereograms.01.
345 reference(s)
5-Informations_AboutPicturesAnimationsAndFiles.01.Ang
340 reference(s)
6-help.
320 reference(s)
7-SurfaceProjector.01.Fra
310 reference(s)
8-Fractal.01
290 reference(s)
9-Galerie_ParticleSystems.FV
246 reference(s)
10-GenieLogiciel_VisualisationScientifique.01.vv
245 reference(s)
11-Galerie_NumberTheory.FV
242 reference(s)
12-MathematiquesPhysiqueFractales.02
233 reference(s)
13-AQuoiServentLesMathematiques.01
233 reference(s)
14-FloatingPointNumbers.01.Fra
229 reference(s)
15-Galerie_GeneralitiesVisualization.FV
227 reference(s)
16-SurfaceProjector.01.Ang
226 reference(s)
17-AVirtualSpaceTimeTravelMachine.Fra
224 reference(s)
18-MonodimensionalCellularAutomata.01.Fra
223 reference(s)
19-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
214 reference(s)
20-Galerie_NewPictures.FV
214 reference(s)
21-FaireDeLaRecherche.01.vv
211 reference(s)
22-Galerie_DeterministicFractalGeometry.FV
209 reference(s)
23-Stereogrammes_AutoStereogrammes.01
208 reference(s)
24-NDimensionalDeterministicFractalSets.01.Fra
205 reference(s)
25-Galerie_TextureSynthesis.FV
205 reference(s)
26-Fractal.11
204 reference(s)
27-ImagesDuVirtuel.01.Fra.FV
200 reference(s)
28-Galerie_ArtisticCreation.FV
200 reference(s)
29-AProposSite.01.Fra
200 reference(s)
30-RealNumbers.01.Fra
196 reference(s)
31-GenieLogiciel.01.Fra
192 reference(s)
32-Galerie_ArtAndScience.FV
192 reference(s)
33-ExpV_VirE.11
192 reference(s)
34-aquoiserventlesmathematiques.01
181 reference(s)
35-mail.01.vv
177 reference(s)
36-NDimensionalDeterministicFractalSets.01.Ang
175 reference(s)
37-AnimFractal.01.
175 reference(s)
38-copyright.01.
173 reference(s)
39-UlamSpiral.01.Fra
171 reference(s)
40-Galerie_CelestialMechanics.FV
171 reference(s)
41-fairedelarecherche.01.vv
166 reference(s)
42-UlamSpiral.01.Ang
165 reference(s)
43-OrdinateurMathematiquesArt.01.Fra
165 reference(s)
44-Galerie_DeterministicChaos.FV
165 reference(s)
45-EntrelacsIntertwinings.01.Ang
164 reference(s)
46-ImpossibleStructures.01.Fra
163 reference(s)
47-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
163 reference(s)
48-infinity.01.vv
162 reference(s)
49-Kepler.02.
161 reference(s)
50-EntrelacsIntertwinings.01.Fra
160 reference(s)
51-IllusionConnaissance.02
158 reference(s)
52-fractal.01
157 reference(s)
53-NombresEtLumiere.01.vv.Fra
157 reference(s)
54-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
157 reference(s)
55-ImpossibleStructures.01.Ang
157 reference(s)
56-FloatingPointNumbers.01.Ang
157 reference(s)
57-NatureDesMathematiques.01.vv.Fra
156 reference(s)
58-Informations_GoodNewsAndBadNews.01.Fra
156 reference(s)
59-Galerie_BestOf.FV
155 reference(s)
60-GoldenTriangle.01.Ang
154 reference(s)
61-Vcatalogue.11
153 reference(s)
62-RemarquesCerveau.01
153 reference(s)
63-infinity.02.vv
152 reference(s)
64-VirtualChaos.01.Fra
152 reference(s)
65-GoldenTriangle.01.Fra
152 reference(s)
66-Galerie_QuantumMechanics.FV
152 reference(s)
67-DieuScience.01.Fra
152 reference(s)
68-PerteDeLAssociativite.01
151 reference(s)
69-AvantPropos.01.Fra
150 reference(s)
70-EnsembleDesGaleries.DIAPO.0001
147 reference(s)
71-PatrimoineHumanite.02.Fra
146 reference(s)
72-MonodimensionalCellularAutomata.01.Ang
146 reference(s)
73-catalogue.11
143 reference(s)
74-ExpV_VirE.Ang
143 reference(s)
75-VirtualChaos.01.Ang
142 reference(s)
76-EnsembleDesGaleriesFractales.DIAPO.0001
142 reference(s)
77-Galerie_SignalProcessing.FV
141 reference(s)
78-MathematiquesEtRepresentations.01.vv.Ang
140 reference(s)
79-ManyChaos.01.Ang
140 reference(s)
80-AQuoiServentLesMathematiques.03
140 reference(s)
81-MathematiquesPhysiqueFractales.01
139 reference(s)
82-ManyChaos.01.Fra
139 reference(s)
83-create.03.
138 reference(s)
84-MathematiquesModeleOutilArtiste.02.Ang
138 reference(s)
85-MathematiquesEtCinematographe.01.vv
138 reference(s)
86-HommageBenoitMandelbrot.21
138 reference(s)
87-Fractal.02
138 reference(s)
88-present.01.
137 reference(s)
89-Galerie_SensitivityToRoundingOffErrors.FV
137 reference(s)
90-Galerie_Astrophysics.FV
137 reference(s)
91-LOG_xiMc.11
136 reference(s)
92-Spheres.01
135 reference(s)
93-OrdinateursEtCalculs.01.Fra
135 reference(s)
94-VisitesGaleriesEnfouies.01.Fra
133 reference(s)
95-Informations_AboutPicturesAnimationsAndFiles.01.Fra
133 reference(s)
96-ImagesDuVirtuel.01.Fra
133 reference(s)
97-Commentaires_NKleinBottle.01
133 reference(s)
98-AvantPropos.01.Ang
133 reference(s)
99-surfaceprojector.01.fra
132 reference(s)
100-AVirtualSpaceTimeTravelMachine.Ang.FV
132 reference(s)
101-demo_14.FV
131 reference(s)
102-QuelquesQuestionsSurLaRecherche.01.Fra
131 reference(s)
103-ExpV_VirE.Fra
131 reference(s)
104-OrdinateursEtCalculs.01.Ang
130 reference(s)
105-ExpV_VirE.01.Ang
130 reference(s)
106-ArtScience.11.Fra
130 reference(s)
107-Commentaires_DefinitionTransformeeDeFourier.01
129 reference(s)
108-VisitesGaleriesEnfouies.01.Ang
128 reference(s)
109-Commentaires_DefinitionQuaternions.01
128 reference(s)
110-subject.01.
127 reference(s)
111-an2000.01.fra
127 reference(s)
112-Galerie_FluidMechanics.FV
127 reference(s)
113-AQuoiServentLesMathematiques.02
126 reference(s)
114-PerteDeLAssociativite.01.MUL3
125 reference(s)
115-Commentaires_DefinitionComplexes.01
125 reference(s)
116-PerteDeLAssociativite.01.ADD3
123 reference(s)
117-MathematiquesEtRepresentations.01.vv.Fra
123 reference(s)
118-Commentaires_NKleinBottle.02
123 reference(s)
119-ExpV_VirE.01.Fra
122 reference(s)
120-Commentaires_ProblemeDesNCorps.01
122 reference(s)
121-Commentaires_EnsembleMandelbrotComplexe.01
122 reference(s)
122-Commentaires_DefinitionPseudoQuaternions.01
122 reference(s)
123-Galerie_CollaborativeWorks..FV
121 reference(s)
124-ExpV_VirE.21
121 reference(s)
125-Commentaires_EnsembleJuliaComplexe.01
121 reference(s)
126-Commentaires_DefinitionOctonions.01
121 reference(s)
127-ArtEtMathematiques.01
121 reference(s)
128-MOSA.JFC.F1.F2.20031207
120 reference(s)

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




Copyright (c) Jean-François Colonna, 2012-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2012-2018.