Monthly Best Of on 06/28/2009




A demonstration of the Pythagoras' theorem

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 06/28/2009 and last updated on 06/30/2018 14:04:32 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Happy new year 2000
1-555 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-513 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
3-359 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-224 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
5-152 reference(s)
The random walk of photons escaping the Sun
6-142 reference(s)
The Lorenz attractor
7-125 reference(s)
Quark and gluon structure of a nucleon
8-123 reference(s)
Autostereogram with an hidden volcano
9-117 reference(s)
Hypercube
10-103 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
11-100 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0) (bird's-eye view)
12-97 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
13-94 reference(s)
Particles in a bidimensional box submitted to an attractive central field of gravity
14-84 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
15-82 reference(s)
Autostereogram with an hidden ring and ghost bows
16-78 reference(s)
Mountains at sunrise
17-78 reference(s)
Autostereogram with an hidden volcano
18-77 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
19-77 reference(s)
Quark and gluon structure of a nucleon
20-76 reference(s)
Paradoxal Monument Valley at sunset
21-73 reference(s)
Artistic view of the prime numbers
22-72 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
23-71 reference(s)
The random walk of photons escaping the Sun
24-71 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
25-69 reference(s)
Intertwining
26-67 reference(s)
Autostereogram with an hidden volcano
27-61 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
28-55 reference(s)
Black dots (inside random white squares)on a square lattice
29-55 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
30-52 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
31-52 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
32-51 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
33-49 reference(s)
From Pluto to the Sun -extrapolation 2- (non linear scales)
34-49 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
35-48 reference(s)
Jean-François Colonna
36-46 reference(s)
From Pluto to the Sun (non linear scales)
37-45 reference(s)
The Jeener's triple Klein bottle
38-45 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)
39-43 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
40-42 reference(s)
Autostereogram with an hidden volcano
41-41 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
42-41 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
43-41 reference(s)
Along the border of the Mandelbrot set
44-40 reference(s)
The generalized Ulam spiral displaying 100 numbers
45-40 reference(s)
The Birth of the Universe
46-39 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
47-39 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
48-38 reference(s)
A shell (Jeener surface 1)in motion
49-38 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
50-38 reference(s)
Along the border of the Mandelbrot set
51-36 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
52-36 reference(s)
Electron-positron scattering
53-36 reference(s)
Autostereogram with an hidden volcano
54-35 reference(s)
An interpolation between four interlaced torus and the quadruple Jeener bottle defined by means of three sets of bidimensional fields
55-35 reference(s)
The Scream -a Tribute to Edvard Munch-
56-35 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
57-34 reference(s)
Animation of a sunrise on mountains
58-34 reference(s)
The quadruple Jeener bottle
59-34 reference(s)
A shell (Jeener surface 1)
60-33 reference(s)
Artistic view of the Big Bang
61-32 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
62-32 reference(s)
The Eratosthene sieve displaying 100x100 numbers
63-32 reference(s)
Botticelli anomaly on the Moon
64-32 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+20.0)x(-15.0,+15.0)
65-31 reference(s)
Cauliflowers, seaweeds, shells,... with fog
66-31 reference(s)
True colors autostereogram of a fractal landscape
67-31 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
68-31 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
69-31 reference(s)
The quaternionic Julia set computed with A=(-0.58...,+0.63...,0,0)-tridimensional cross-section-
70-31 reference(s)
Larsen effect
71-30 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
72-29 reference(s)
Larsen effect
73-29 reference(s)
From the infinitely small to the infinitely big
74-29 reference(s)
Autostereogram with an hidden volcano
75-28 reference(s)
Alien
76-28 reference(s)
Quark and gluon dynamics of the nucleon
77-28 reference(s)
Mountains and light clouds
78-28 reference(s)
An arbitrary surface (Jeener surface 2)in motion
79-28 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
80-28 reference(s)
Autostereogram with an hidden volcano and an animated disguise texture
81-27 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
82-27 reference(s)
Snowy multifractal mountains
83-27 reference(s)
An arbitrary surface (Jeener surface 2)in motion
84-27 reference(s)
Electron diffraction
85-27 reference(s)
Self-Portrait with intertwining
86-26 reference(s)
The random walk of photons escaping the Sun
87-26 reference(s)
Quaternionic shell fossil
88-26 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
89-26 reference(s)
White Hole
90-26 reference(s)
Intertwining based on the geometry of the sphere
91-26 reference(s)
Quantum vacuum fluctuations
92-25 reference(s)
Artistic view of the trajectories of tridimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to a vertical field of gravity
93-25 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
94-25 reference(s)
The generalized Ulam spiral displaying 1024 numbers
95-25 reference(s)
A quaternionic Julia set -tridimensional cross-section-
96-25 reference(s)
Recursive intertwining
97-24 reference(s)
A dynamic 'crumpled' Klein bottle defined by means of three sets of bidimensional fields
98-24 reference(s)
An Archimedes spiral displaying 1000 numbers
99-24 reference(s)
An arbitrary surface (Jeener surface 2)
100-24 reference(s)
Computation of the Lorenz attractor on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
101-24 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
102-24 reference(s)
Happy new year 2000
103-24 reference(s)
Cracks
104-24 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
105-23 reference(s)
The Möbius strip
106-23 reference(s)
Autostereogram with an hidden ring and ghost bows
107-22 reference(s)
Isotropic random walk of 4 particles on a bidimensional square lattice with display of their gravity center -white particle-
108-22 reference(s)
Alien spacecrafts on the Moon
109-22 reference(s)
The Lorenz attractor
110-22 reference(s)
Intertwining based on the geometry of the Lorenz attractor
111-22 reference(s)
Artistic view of a quadridimensional Calabi-Yau manifold
112-22 reference(s)
Volcano
113-22 reference(s)
Four interlaced torus
114-21 reference(s)
Autostereogram of Monument Valley
115-21 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
116-21 reference(s)
Tridimensional heterogeneous fractal structure in a tridimensional torus
117-21 reference(s)
Double impossible staircase
118-21 reference(s)
Intertwining based on the geometry of the sphere
119-20 reference(s)
Texture animation by means of Fourier filtering of a random walk process
120-20 reference(s)
No Title 0072
121-20 reference(s)
A fractal surface (five iterations)defined by means of three bidimensional fields
122-20 reference(s)
More and more craters on the Moon
123-20 reference(s)
Simulation of 'from Pluto to the Sun' with pure uniform circular motions (linear scales)
124-20 reference(s)
The Solar System with a green virtual planet -virtual planet point of view-
125-20 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)-sensitivity to initial conditions-
126-20 reference(s)
The Möbius strip
127-20 reference(s)
2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
128-20 reference(s)




2-The 128 most referenced Pages:



1-demo_14
970 reference(s)
2-AVirtualSpaceTimeTravelMachine.Ang
439 reference(s)
3-An2000.01.Fra
395 reference(s)
4-help.
267 reference(s)
5-FloatingPointNumbers.01.Fra
259 reference(s)
6-Galerie_GeneralitiesVisualization.FV
213 reference(s)
7-Autostereograms.01.
206 reference(s)
8-SurfaceProjector.01.Ang
202 reference(s)
9-Galerie_TextureSynthesis.FV
202 reference(s)
10-An2000.05.Fra
195 reference(s)
11-AProposSite.01.Fra
195 reference(s)
12-copyright.01.
194 reference(s)
13-Galerie_DeterministicFractalGeometry.FV
194 reference(s)
14-Commentaires_NKleinBottle.01
193 reference(s)
15-mail.01.vv
189 reference(s)
16-Fractal.01
187 reference(s)
17-FloatingPointNumbers.01.Ang
185 reference(s)
18-Galerie_ArtisticCreation.FV
181 reference(s)
19-catalogue.11
180 reference(s)
20-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
180 reference(s)
21-SurfaceProjector.01.Fra
170 reference(s)
22-AVirtualSpaceTimeTravelMachine.Fra
170 reference(s)
23-Informations_AboutPicturesAnimationsAndFiles.01.Ang
167 reference(s)
24-present.01.
166 reference(s)
25-Galerie_NumberTheory.FV
164 reference(s)
26-ImagesDuVirtuel.01.Fra
159 reference(s)
27-GenieLogiciel.01.Fra
156 reference(s)
28-AQuoiServentLesMathematiques.01
151 reference(s)
29-Vcatalogue.11
150 reference(s)
30-ExpV_VirE.11
145 reference(s)
31-AVirtualSpaceTimeTravelMachine.Ang.FV
145 reference(s)
32-Stereogrammes_AutoStereogrammes.01
143 reference(s)
33-Galerie_ParticleSystems.FV
143 reference(s)
34-AVirtualSpaceTimeTravelMachine.Fra.FV
143 reference(s)
35-AnimFractal.01.
141 reference(s)
36-Galeries.01.vv
139 reference(s)
37-Galerie_CelestialMechanics.FV
139 reference(s)
38-EntrelacsIntertwinings.01.Fra
139 reference(s)
39-Galerie_ArtAndScience.FV
137 reference(s)
40-Commentaires_DefinitionTransformeeDeFourier.01
136 reference(s)
41-GenieLogiciel_VisualisationScientifique.01.vv
135 reference(s)
42-Galerie_DeterministicChaos.FV
135 reference(s)
43-LOG_xiMc.11
134 reference(s)
44-MonodimensionalCellularAutomata.01.Fra
132 reference(s)
45-Galerie_NewPictures.FV
132 reference(s)
46-RealNumbers.01.Fra
131 reference(s)
47-ExpV_VirE.Fra
127 reference(s)
48-Galerie_Astrophysics.FV
126 reference(s)
49-AQuoiServentLesMathematiques.03
125 reference(s)
50-EntrelacsIntertwinings.01.Ang
123 reference(s)
51-Galerie_QuantumMechanics.FV
122 reference(s)
52-Informations_AboutPicturesAnimationsAndFiles.01.Fra
121 reference(s)
53-Galerie_QuantumMechanics
121 reference(s)
54-MathematiquesPhysiqueFractales.01
118 reference(s)
55-Galerie_BestOf.FV
116 reference(s)
56-MonodimensionalCellularAutomata.01.Ang
115 reference(s)
57-Galerie_FluidMechanics.FV
115 reference(s)
58-ExpV_VirE.21
115 reference(s)
59-ExpV_VirE.01.Fra
114 reference(s)
60-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
113 reference(s)
61-Kepler.02.
113 reference(s)
62-Commentaires_EspaceLyapunovComplexe.01
112 reference(s)
63-MonumentValley.01.Fra
110 reference(s)
64-Galerie_SalonDAutomne
109 reference(s)
65-Commentaires_EnsembleMandelbrotComplexe.01
106 reference(s)
66-Galerie_SignalProcessing.FV
105 reference(s)
67-Galerie_SensitivityToRoundingOffErrors.FV
105 reference(s)
68-AQuoiServentLesMathematiques.02
105 reference(s)
69-An2000.02.Fra
104 reference(s)
70-Galerie_CollaborativeWorks..FV
103 reference(s)
71-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
103 reference(s)
72-demo_14.FV
102 reference(s)
73-create.03.
102 reference(s)
74-ImagesDuVirtuel.01.Fra.FV
102 reference(s)
75-Galerie_NewPictures
102 reference(s)
76-ArtScience.01
102 reference(s)
77-An2000.01.Ang
102 reference(s)
78-Commentaires_ModeleIsingBiDimensionnel.01
101 reference(s)
79-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
100 reference(s)
80-An2000.11.Fra
100 reference(s)
81-ManyChaos.01.Ang
99 reference(s)
82-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
99 reference(s)
83-subject.01.
98 reference(s)
84-infinity.01.vv
98 reference(s)
85-Informations_GoodNewsAndBadNews.01.Fra
98 reference(s)
86-Galerie_AnthropomorphicPatterns.FV
98 reference(s)
87-An2000.06.Fra
98 reference(s)
88-Galerie_SalonDAutomne.FV
97 reference(s)
89-An2000.04.Fra
97 reference(s)
90-An2000.03.Fra
97 reference(s)
91-MonumentValley.01.Ang
96 reference(s)
92-Galerie_QuantumMechanics.DIAPO.0002
96 reference(s)
93-Commentaires_ProblemeDesNCorps.01
96 reference(s)
94-infinity.01.vv.DIAPO.0001
95 reference(s)
95-Commentaires_EnsembleJuliaQuaternion.01
95 reference(s)
96-real.01.vv.
94 reference(s)
97-ManyChaos.01.Fra
94 reference(s)
98-Commentaires_DefinitionQuaternions.01
94 reference(s)
99-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
93 reference(s)
100-Galerie_DeterministicChaos
93 reference(s)
101-ExpV_VirE.01.Ang
93 reference(s)
102-Commentaires_DefinitionComplexes.01
93 reference(s)
103-ArtScience.11.Fra
93 reference(s)
104-VirtualChaos.01.Fra
92 reference(s)
105-ArtOrdinateur.01
92 reference(s)
106-Galerie_DeterministicFractalGeometry
91 reference(s)
107-Galerie_QuantumMechanics.DIAPO.0001
90 reference(s)
108-Galerie_FluidMechanics.DIAPO.0001
90 reference(s)
109-ExpV_VirE.Ang
90 reference(s)
110-Commentaires_SystemeSolaire.01
90 reference(s)
111-Commentaires_EnsembleMandelbrotQuaternion.01
90 reference(s)
112-hydrogene.61.K.
89 reference(s)
113-VisSci_SciVis.02
89 reference(s)
114-PerteDeLAssociativite.01
89 reference(s)
115-AvantPropos.01.Ang
89 reference(s)
116-Commentaires_RacinesTroisiemesUniteComplexes.01
88 reference(s)
117-Galerie_NewPictures.DIAPO.0001
87 reference(s)
118-Galerie_GeneralitiesVisualization
87 reference(s)
119-Galerie_CelestialMechanics.DIAPO.0021
87 reference(s)
120-EnsembleDesGaleries.DIAPO.0001
87 reference(s)
121-DuReelAuVirtuel.01.Fra
87 reference(s)
122-Commentaires_SurfaceDeBoy.01
87 reference(s)
123-Commentaires_ProblemeDesNAimants.01
87 reference(s)
124-Commentaires_ModeleIsingTriDimensionnel.01
87 reference(s)
125-relativity.01.
86 reference(s)
126-Galerie_SignalProcessing
86 reference(s)
127-Galerie_FluidMechanics
86 reference(s)
128-FaireDeLaRecherche.01.vv
86 reference(s)

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




Copyright (c) Jean-François Colonna, 2009-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2009-2018.