Monthly Best Of on 07/28/2008




Fractal 3-foil torus knot

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 07/28/2008 and last updated on 11/14/2023 17:47:08 -CET-)




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
1-84 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-42 reference(s)		 The random walk of photons escaping the Sun
3-40 reference(s)		 Hypercube
4-33 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
5-31 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
6-31 reference(s)		 Black dots (inside random white squares)on a square lattice
7-31 reference(s)		 Quark and gluon dynamics of the nucleon
8-30 reference(s)
The random walk of photons escaping the Sun
9-28 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
10-28 reference(s)		 Artistic view of the prime numbers
11-25 reference(s)		 Quark and gluon structure of a nucleon
12-24 reference(s)
Autostereogram with an hidden volcano
13-20 reference(s)		 Cauliflowers, seaweeds, shells,... with fog
14-20 reference(s)		 Erosion in Monument Valley with fog
15-20 reference(s)		 From Pluto to the Sun -extrapolation 2- (non linear scales)
16-20 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)
17-20 reference(s)		 The Lorenz attractor
18-20 reference(s)		 Animation of bidimensional textures by means of the self-transformation of a fractal process
19-19 reference(s)		 Welcome aboard a Virtual Space-Time Travel Machine
20-19 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
21-19 reference(s)		 The City and the Stars -a Tribute to Arthur C. Clarke-
22-18 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
23-18 reference(s)		 The Möbius strip
24-18 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)
25-18 reference(s)		 Chaotic trajectory: multiple reflexions between two parallel planes -rotating views-
26-18 reference(s)		 Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
27-18 reference(s)		 Autostereogram with an hidden ring and ghost bows
28-17 reference(s)
Non isotropic random walk of 64 particles on a bidimensional square lattice in a 'ring' potential
29-17 reference(s)		 Rotation about the X axis of the Lorenz attractor
30-17 reference(s)		 Animation of a quaternionic Julia island
31-17 reference(s)		 Zoom in on light clouds
32-17 reference(s)
Electron diffraction
33-17 reference(s)		 Botticelli anomaly on the Moon
34-16 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
35-16 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
36-16 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
37-16 reference(s)		 The tridimensional field defining the three coordinates of the Jeener-Möbius tridimensional manifold
38-15 reference(s)		 The Birth of the Universe
39-15 reference(s)		 Tridimensional brownian motion -the colors used (magenta,red,yellow,green,cyan)are an increasing function of the time- and the 'external border' of its bidimensional projection -white-
40-15 reference(s)
Autostereogram with an hidden volcano
41-14 reference(s)		 The tridimensional field defining the three coordinates of a tridimensional fractal manifold
42-14 reference(s)		 The generalized Ulam spiral displaying 100 numbers
43-14 reference(s)		 A variable Archimedes spiral displaying 1000 numbers
44-14 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
45-14 reference(s)		 The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
46-14 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
47-14 reference(s)		 Waltzing snowy Rocky Mountains
48-14 reference(s)
From the infinitely small to the infinitely big
49-14 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
50-13 reference(s)		 Artistic view of the Big Bang
51-13 reference(s)		 The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
52-13 reference(s)
Rotation about the Y (vertical)axis of a tridimensional fractal aggregate that can also be viewed as a set of 4x3 pseudo-stereograms
53-13 reference(s)		 Diffusion between two boxes (initial conditions: the left one is empty, the right one contains 256 particles), with collisions and display of the gravity center -white particle-
54-13 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
55-13 reference(s)		 Quark and gluon structure of a nucleon
56-13 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
57-13 reference(s)		 Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
58-13 reference(s)		 Chaotic trajectory: multiple reflexions between two parallel planes -rotating views, non diffusive case-
59-13 reference(s)		 Rotation about the Y (vertical)axis of the CMAP logo that can also be viewed as a set of 4x3 stereograms
60-13 reference(s)
The evolution of the sphere using the Lorenz attractor
61-12 reference(s)		 Mountains and light cloud dynamics -this sequence being periodical-
62-12 reference(s)		 From Pluto to the Sun (non linear scales)
63-12 reference(s)		 N-body problem integration (N=3)with one yellow star and two planets (the red one being very heavy and the blue one being light)
64-12 reference(s)
The three pendulums and three magnets problem computed on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
65-12 reference(s)		 Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
66-12 reference(s)		 The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
67-12 reference(s)		 Along the border of the Mandelbrot set
68-11 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
69-11 reference(s)		 A perfect bidimensional piston with following initial conditions: still piston, high temperature particles at left and low temperature particles at right, in a bidimensional box submitted to a vertical field of gravity
70-11 reference(s)		 A tridimensional periodical fluid with display of velocity histograms
71-11 reference(s)		 Fractal diffusion front in a bidimensional medium obtained by means of identical interacting particles
72-11 reference(s)
Texture animation by means of Fourier filtering of a random walk process
73-11 reference(s)		 24 evenly distributed points on a sphere by means of simulated annealing
74-11 reference(s)		 The set of bidimensional fields defining the 'X' coordinate of a dynamic 'crumpled' Klein bottle
75-11 reference(s)		 Animation of a sunrise on mountains
76-11 reference(s)
The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
77-11 reference(s)		 N-body problem integration (N=4)with one yellow star and two planets (the red one being very heavy and the blue one and its white satellite being light)
78-11 reference(s)		 Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
79-11 reference(s)		 16 complex Julia sets
80-11 reference(s)
Extended life game
81-11 reference(s)		 Electron-positron scattering
82-11 reference(s)		 Quantum vacuum fluctuations
83-10 reference(s)		 Quaternionic Julia sets along the border of the Mandelbrot set with motion blur -tridimensional cross-sections-
84-10 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
85-10 reference(s)		 Bidimensional domino effect
86-10 reference(s)		 Animation of a natural form
87-10 reference(s)		 Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
88-10 reference(s)
The set of bidimensional fields defining the 'Z' coordinate of an interpolation between two Klein bottles defined by means of two different sets of equations
89-10 reference(s)		 A dynamic 'crumpled' Klein bottle defined by means of three sets of bidimensional fields
90-10 reference(s)		 Earthquake
91-10 reference(s)		 The non linear transformation of the coordinates in the Solar System
92-10 reference(s)
From Pluto to the Sun -extrapolation 1- (non linear scales)
93-10 reference(s)		 The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
94-10 reference(s)		 N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
95-10 reference(s)		 Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
96-10 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
97-10 reference(s)		 The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
98-10 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
99-10 reference(s)		 Long term evolution of a landscape
100-10 reference(s)
Erosion of a tridimensional random medium
101-10 reference(s)		 Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
102-10 reference(s)		 Tridimensional display of the rounding-off errors when computing the Verhulst dynamics
103-9 reference(s)		 Autostereogram with an hidden volcano and fractal phenomenon
104-9 reference(s)
Autostereogram with an hidden volcano
105-9 reference(s)		 Untitled 0098
106-9 reference(s)		 The evolution of the bidimensional field defining the three coordinates of a sphere using the Lorenz attractor
107-9 reference(s)		 Rotation about X and Y axes of the Boy surface
108-9 reference(s)
Tridimensional fractal aggregate obtained by means of a 50% pasting process during collisions of particles submitted to an attractive central field of gravity
109-9 reference(s)		 A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle and with display of velocity histograms
110-9 reference(s)		 The tridimensional field defining the three coordinates of a tridimensional twisted torus-like manifold
111-9 reference(s)		 The set of bidimensional fractal gaussian-attenuated fields used to define the three coordinates of a dynamic 'crumpled' Klein bottle
112-9 reference(s)
The set of bidimensional fields defining the 'Y' coordinate of a dynamic 'crumpled' Klein bottle
113-9 reference(s)		 From à rectangle to the Boy surface
114-9 reference(s)		 Simulation of 'from Pluto to the Sun' with pure uniform circular motions (linear scales)
115-9 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
116-9 reference(s)
The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
117-9 reference(s)		 An arbitrary surface (Jeener surface 2)in motion
118-9 reference(s)		 Tridimensional display of the integration of the Lorenz attractor system for 448500 different initial conditions
119-9 reference(s)		 Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
120-9 reference(s)
Tridimensional fractal structure in a tridimensional torus
121-9 reference(s)		 Dynamics of a bidimensional fractal structure
122-9 reference(s)		 Periodical earthquake with multifractal mountains
123-9 reference(s)		 The iterative process used to generate bidimensional fractal height fields (16 iterations)
124-9 reference(s)
Earthquake with multifractal mountains
125-9 reference(s)		 Texture animation by means of the generalized Fourier filtering process
126-9 reference(s)		 The normal field of a shell (Jeener surface 1)
127-9 reference(s)		 Artistic view of a quadridimensional Calabi-Yau manifold
128-9 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
262 reference(s)		 2-AVirtualSpaceTimeTravelMachine.Ang
111 reference(s)
3-An2000.01.Fra
84 reference(s)		 4-Galerie_ArtisticCreation.FV
60 reference(s)
5-Autostereograms.01.
56 reference(s)		 6-demo_14.FV
52 reference(s)
7-help.
51 reference(s)		 8-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
49 reference(s)
9-ImagesDuVirtuel.01.Fra
47 reference(s)		 10-Galerie_Astrophysics.DIAPO.0001
47 reference(s)
11-Fractal.01
47 reference(s)		 12-Galerie_NumberTheory.FV
44 reference(s)
13-SurfaceProjector.01.Ang
43 reference(s)		 14-AProposSite.01.Fra
39 reference(s)
15-GenieLogiciel.01.Fra
38 reference(s)		 16-FloatingPointNumbers.01.Ang
38 reference(s)
17-copyright.01.
37 reference(s)		 18-Galerie_QuantumMechanics.FV
37 reference(s)
19-ExpV_VirE.11
37 reference(s)		 20-EnsembleDesGaleries.DIAPO.0001
37 reference(s)
21-Galerie_ArtAndScience.FV
36 reference(s)		 22-Stereogrammes_AutoStereogrammes.01
35 reference(s)
23-Informations_AboutPicturesAnimationsAndFiles.01.Ang
35 reference(s)		 24-Galerie_DeterministicChaos.FV
34 reference(s)
25-ExpV_VirE.Ang
34 reference(s)		 26-Galerie_TextureSynthesis.FV
33 reference(s)
27-Galerie_DeterministicChaos
33 reference(s)		 28-MonumentValley.01.Fra
32 reference(s)
29-Galerie_ParticleSystems.FV
32 reference(s)		 30-Galerie_CelestialMechanics.FV
32 reference(s)
31-ExpV_VirE.Fra
32 reference(s)		 32-subject.01.
31 reference(s)
33-Informations_GoodNewsAndBadNews.01.Fra
31 reference(s)		 34-Galerie_Astrophysics.DIAPO.0002
31 reference(s)
35-EnsembleDesGaleries.DIAPO.0002
31 reference(s)		 36-AnimFractal.01.
31 reference(s)
37-mail.01.vv
30 reference(s)		 38-ImagesDuVirtuel.01.Fra.FV
30 reference(s)
39-Galerie_GeneralitiesVisualization.FV
30 reference(s)		 40-Galerie_DeterministicFractalGeometry.FV
30 reference(s)
41-Commentaires_Tore.01
30 reference(s)		 42-AQuoiServentLesMathematiques.01
30 reference(s)
43-RemarquesCerveau.01
29 reference(s)		 44-Galerie_Astrophysics.FV
29 reference(s)
45-Galerie_ArtisticCreation
29 reference(s)		 46-Galerie_SignalProcessing.FV
28 reference(s)
47-ExpV_VirE.21
28 reference(s)		 48-Commentaires_DefinitionQuaternions.01
28 reference(s)
49-AVirtualSpaceTimeTravelMachine.Fra
28 reference(s)		 50-AVirtualSpaceTimeTravelMachine.Ang.FV
28 reference(s)
51-Galeries.01.vv
27 reference(s)		 52-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
27 reference(s)
53-FloatingPointNumbers.01.Fra
27 reference(s)		 54-Commentaires_DefinitionTransformeeDeFourier.01
27 reference(s)
55-AvantPropos.01.Ang
27 reference(s)		 56-Vcatalogue.11
26 reference(s)
57-RealNumbers.01.Fra
26 reference(s)		 58-Galerie_NewPictures
26 reference(s)
59-Galerie_GeneralitiesVisualization
26 reference(s)		 60-Galerie_FluidMechanics
26 reference(s)
61-Galerie_CelestialMechanics
26 reference(s)		 62-Galerie_AnthropomorphicPatterns
26 reference(s)
63-ExpV_VirE.01.Ang
26 reference(s)		 64-An2000.11.Fra
26 reference(s)
65-AVirtualSpaceTimeTravelMachine.Fra.FV
26 reference(s)		 66-present.01.
25 reference(s)
67-VisitesGaleriesEnfouies.01.Ang
25 reference(s)		 68-VisSci_SciVis.01
25 reference(s)
69-Galerie_GeneralitiesVisualization.DIAPO.0001
25 reference(s)		 70-Galerie_ArtisticCreation.DIAPO.0001
25 reference(s)
71-ArtOrdinateur.01
25 reference(s)		 72-infinity.01.vv.DIAPO.0001
24 reference(s)
73-create.03.
24 reference(s)		 74-SurfaceProjector.01.Fra
24 reference(s)
75-Galerie_TextureSynthesis
24 reference(s)		 76-Galerie_SalonDAutomne.FV
24 reference(s)
77-Galerie_ParticleSystems
24 reference(s)		 78-Galerie_NewPictures.FV
24 reference(s)
79-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
24 reference(s)		 80-Commentaires_NKleinBottle.01
24 reference(s)
81-VisSci_SciVis.02
23 reference(s)		 82-VirtualChaos.01.Ang
23 reference(s)
83-PerteDeLAssociativite.01.ADD3
23 reference(s)		 84-Galerie_SignalProcessing
23 reference(s)
85-Galerie_SensitivityToRoundingOffErrors.FV
23 reference(s)		 86-Galerie_QuantumMechanics
23 reference(s)
87-Galerie_NumberTheory.DIAPO.0001
23 reference(s)		 88-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0001
23 reference(s)
89-Galerie_BestOf
23 reference(s)		 90-Galerie_ArtisticCreation.DIAPO.0002
23 reference(s)
91-Galerie_ArtAndScience
23 reference(s)		 92-EnsembleDesGaleries.DIAPO.0007
23 reference(s)
93-Commentaires_ModeleIsingBiDimensionnel.01
23 reference(s)		 94-Commentaires_KleinBottle.02
23 reference(s)
95-Commentaires_EspaceLyapunovComplexe.01
23 reference(s)		 96-Commentaires_EnsembleJuliaComplexe.01
23 reference(s)
97-An2000.05.Fra
23 reference(s)		 98-An2000.04.Fra
23 reference(s)
99-An2000.03.Fra
23 reference(s)		 100-An2000.02.Fra
23 reference(s)
101-An2000.01.Ang
23 reference(s)		 102-AQuoiServentLesMathematiques.03
23 reference(s)
103-infinity.02.vv
22 reference(s)		 104-PatrimoineHumanite.02.Fra
22 reference(s)
105-ImpossibleStructures.01.Ang
22 reference(s)		 106-Galerie_SalonDAutomne
22 reference(s)
107-Galerie_NumberTheory
22 reference(s)		 108-Galerie_FluidMechanics.DIAPO.0001
22 reference(s)
109-Galerie_Astrophysics.DIAPO.0003
22 reference(s)		 110-Galerie_AnthropomorphicPatterns.FV
22 reference(s)
111-Galerie_AnthropomorphicPatterns.DIAPO.0001
22 reference(s)		 112-EnsembleDesGaleries.DIAPO.0005
22 reference(s)
113-EnsembleDesGaleries.DIAPO.0003
22 reference(s)		 114-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
22 reference(s)
115-An2000.06.Fra
22 reference(s)		 116-real.01.vv.
21 reference(s)
117-infinity.01.vv
21 reference(s)		 118-VirtualChaos.01.Fra
21 reference(s)
119-MonumentValley.01.Ang
21 reference(s)		 120-MathematiquesPhysiqueInformatiqueImages.01.Fra
21 reference(s)
121-Kepler.02.
21 reference(s)		 122-Galerie_FromTheInfinitelySmallToTheInfinitelyBig
21 reference(s)
123-Galerie_CelestialMechanics.DIAPO.0001
21 reference(s)		 124-Galerie_BestOf.FV
21 reference(s)
125-Galerie_Astrophysics
21 reference(s)		 126-Galerie_ArtAndScience.DIAPO.0051
21 reference(s)
127-ExpV_VirE.01.Fra
21 reference(s)		 128-EnsembleDesGaleries.DIAPO.0018
21 reference(s)

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




Copyright © Jean-François COLONNA, 2008-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2008-2023.