Monthly Best Of on 09/28/2010




Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-

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 09/28/2010 and last updated on 06/30/2018 14:04:40 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



A tridimensional Möbius-like manifold defined by means of three tridimensional fields
1-244 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
2-180 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-176 reference(s)
The Lorenz attractor
4-146 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
5-133 reference(s)
Quark and gluon structure of a nucleon
6-129 reference(s)
Quark and gluon structure of a nucleon
7-110 reference(s)
Electron-positron scattering
8-86 reference(s)
Paradoxal Monument Valley at sunset
9-84 reference(s)
The random walk of photons escaping the Sun
10-81 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
11-80 reference(s)
The random walk of photons escaping the Sun
12-78 reference(s)
The random walk of photons escaping the Sun
13-75 reference(s)
The Möbius strip
14-73 reference(s)
Artistic view of the prime numbers
15-72 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
16-69 reference(s)
Hypercube
17-66 reference(s)
From the infinitely small to the infinitely big
18-63 reference(s)
Along the border of the Mandelbrot set
19-61 reference(s)
Artistic view of the Big Bang
20-60 reference(s)
Intertwining
21-60 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
22-59 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
23-57 reference(s)
Autostereogram with an hidden volcano
24-55 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
25-55 reference(s)
A quaternionic Julia set -tridimensional cross-section-
26-55 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
27-54 reference(s)
Autostereogram with an hidden volcano
28-52 reference(s)
Recursive intertwining
29-49 reference(s)
From Pluto to the Sun (non linear scales)
30-49 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
31-48 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
32-47 reference(s)
The Klein bottle
33-47 reference(s)
The Scream -a Tribute to Edvard Munch-
34-47 reference(s)
Jean-François Colonna
35-47 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0) (bird's-eye view)
36-46 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)
37-46 reference(s)
Artistic view of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0) -tridimensional cross-section-
38-46 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
39-46 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
40-46 reference(s)
The generalized Ulam spiral displaying 100 numbers
41-44 reference(s)
Alien
42-43 reference(s)
Rotation about the X axis of the Lorenz attractor
43-42 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
44-42 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
45-42 reference(s)
Autostereogram of Monument Valley
46-40 reference(s)
Animation of a sunrise on mountains
47-40 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-
48-40 reference(s)
A fractal landscape
49-40 reference(s)
A shell (Jeener surface 1)in motion
50-40 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
51-40 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
52-40 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
53-40 reference(s)
Autostereogram with an hidden volcano
54-39 reference(s)
The generalized Ulam spiral displaying 1024 numbers
55-38 reference(s)
Inside the Gate
56-38 reference(s)
Generation of the 63 first Conway's surreal numbers
57-36 reference(s)
Fractal intertwining
58-36 reference(s)
Beyond the Gate
59-36 reference(s)
Monument Valley at sunrise
60-36 reference(s)
A quaternionic Julia set -tridimensional cross-section-
61-36 reference(s)
Tridimensional fractal structure
62-36 reference(s)
Artistic view of a quadridimensional Calabi-Yau manifold
63-36 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
64-35 reference(s)
Cloudy Monument Valley
65-35 reference(s)
Mountains at sunrise
66-35 reference(s)
Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
67-35 reference(s)
Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
68-35 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
69-35 reference(s)
Intertwining based on the geometry of the Boy surface
70-35 reference(s)
Autostereogram with an hidden ring and ghost bows
71-34 reference(s)
The Gate
72-34 reference(s)
Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
73-34 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
74-33 reference(s)
Artistic view of Monument Valley
75-33 reference(s)
The Bonan-Jeener's triple Klein bottle
76-33 reference(s)
The Jeener's triple Klein bottle
77-33 reference(s)
The normal field of a fractal surface defined by means of three bidimensional fields
78-32 reference(s)
Botticelli anomaly on the Moon
79-32 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
80-32 reference(s)
Cliffs at sunset
81-32 reference(s)
Autostereogram with an hidden volcano
82-31 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
83-31 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)
84-31 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
85-31 reference(s)
A shell (Jeener surface 1)
86-31 reference(s)
Intertwining based on the geometry of the sphere
87-31 reference(s)
The self-similarity of the von Koch curve
88-30 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
89-30 reference(s)
Happy new year 2000
90-30 reference(s)
An elementary monodimensional binary cellular automaton -184- with random white starting points -on the bottom line-
91-30 reference(s)
Quantum vacuum fluctuations
92-29 reference(s)
Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
93-29 reference(s)
The Birth of the Universe
94-29 reference(s)
No Title 0031
95-28 reference(s)
Quark and gluon dynamics of the nucleon
96-28 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
97-28 reference(s)
A shell (Jeener surface 1)
98-28 reference(s)
The relief -modulus- of the function sin(z)with argument mapping
99-28 reference(s)
Self-transformation of an arbitrary geometrical texture
100-27 reference(s)
Mountains and light clouds
101-27 reference(s)
Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
102-27 reference(s)
A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-'the children round' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
103-27 reference(s)
Tridimensional fractal structure
104-27 reference(s)
Along the border of the Mandelbrot set
105-26 reference(s)
Exploding tridimensional fractal aggregate
106-26 reference(s)
Synthesis of tridimensional symmetrical geometrical textures
107-26 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
108-26 reference(s)
2.pi rotation about the Y axis of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')-tridimensional cross-section-
109-26 reference(s)
A foggy pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0) -tridimensional cross-section-
110-26 reference(s)
Tridimensional fractal structure
111-26 reference(s)
Synthesis of bidimensional geometrical textures
112-26 reference(s)
Fractal diffusion front in a bidimensional medium obtained by means of a random walk process
113-26 reference(s)
The Boy surface
114-25 reference(s)
No Title 0049
115-25 reference(s)
The Eratosthene sieve displaying 100x100 numbers
116-25 reference(s)
The Eratosthene sieve displaying 10x10 numbers
117-25 reference(s)
No Title 0094
118-25 reference(s)
True colors autostereogram of a fractal landscape
119-25 reference(s)
An arbitrary surface (Jeener surface 2)
120-25 reference(s)
A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-'the children round' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
121-25 reference(s)
An extended foggy 'MandelBox' -tridimensional cross-section-
122-25 reference(s)
3-foil torus knots
123-25 reference(s)
Intertwining based on a bidimensional square lattice
124-25 reference(s)
Synthesis of bidimensional geometrical textures
125-25 reference(s)
Bidimensional brownian motion -the colors used (magenta,red,yellow,green,cyan)are an increasing function of the time- and its 'external border' -white-
126-25 reference(s)
The first two iterations of the construction of the von Koch curve
127-24 reference(s)
An Archimedes spiral displaying 1000 numbers
128-24 reference(s)




2-The 128 most referenced Pages:



1-demo_14
886 reference(s)
2-AVirtualSpaceTimeTravelMachine.Ang
479 reference(s)
3-Fractal.01
425 reference(s)
4-An2000.01.Fra
375 reference(s)
5-AQuoiServentLesMathematiques.01
274 reference(s)
6-EnsembleDesGaleries.DIAPO.0001
272 reference(s)
7-Galerie_DeterministicFractalGeometry.FV
271 reference(s)
8-GenieLogiciel_VisualisationScientifique.01.vv
266 reference(s)
9-NDimensionalDeterministicFractalSets.01.Fra
261 reference(s)
10-FloatingPointNumbers.01.Fra
249 reference(s)
11-EnsembleDesGaleries.DIAPO.0008
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12-EnsembleDesGaleries.DIAPO.0015
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13-EnsembleDesGaleries.DIAPO.0030
242 reference(s)
14-EnsembleDesGaleries.DIAPO.0020
242 reference(s)
15-EnsembleDesGaleries.DIAPO.0014
242 reference(s)
16-EnsembleDesGaleries.DIAPO.0002
242 reference(s)
17-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
241 reference(s)
18-EnsembleDesGaleries.DIAPO.0017
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19-EnsembleDesGaleries.DIAPO.0006
241 reference(s)
20-EnsembleDesGaleries.DIAPO.0018
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21-EnsembleDesGaleries.DIAPO.0016
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22-EnsembleDesGaleries.DIAPO.0019
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23-EnsembleDesGaleries.DIAPO.0003
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24-EnsembleDesGaleries.DIAPO.0012
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25-EnsembleDesGaleries.DIAPO.0007
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26-help.
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27-EnsembleDesGaleries.DIAPO.0011
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28-EnsembleDesGaleries.DIAPO.0021
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29-EnsembleDesGaleries.DIAPO.0748
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30-EnsembleDesGaleries.DIAPO.0013
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31-EnsembleDesGaleries.DIAPO.0010
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32-EnsembleDesGaleries.DIAPO.0005
233 reference(s)
33-Galerie_ArtisticCreation.FV
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34-EnsembleDesGaleries.DIAPO.0120
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35-EnsembleDesGaleries.DIAPO.0534
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36-EnsembleDesGaleries.DIAPO.0022
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37-EnsembleDesGaleries.DIAPO.0004
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38-EnsembleDesGaleries.DIAPO.0118
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39-EnsembleDesGaleries.DIAPO.0009
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40-EnsembleDesGaleries.DIAPO.0531
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41-EnsembleDesGaleries.DIAPO.0122
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42-EnsembleDesGaleries.DIAPO.0121
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43-EnsembleDesGaleries.DIAPO.0119
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44-EnsembleDesGaleries.DIAPO.0032
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45-EnsembleDesGaleries.DIAPO.0028
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46-present.01.
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47-SurfaceProjector.01.Ang
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48-EnsembleDesGaleries.DIAPO.0667
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49-EnsembleDesGaleries.DIAPO.0536
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50-EnsembleDesGaleries.DIAPO.0031
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51-EnsembleDesGaleries.DIAPO.0026
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52-EnsembleDesGaleries.DIAPO.0749
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53-EnsembleDesGaleries.DIAPO.0661
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54-EnsembleDesGaleries.DIAPO.0411
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55-EnsembleDesGaleries.DIAPO.0347
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56-EnsembleDesGaleries.DIAPO.0127
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57-EnsembleDesGaleries.DIAPO.0102
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58-EnsembleDesGaleries.DIAPO.0027
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59-EnsembleDesGaleries.DIAPO.0747
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60-EnsembleDesGaleries.DIAPO.0666
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61-EnsembleDesGaleries.DIAPO.0538
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62-EnsembleDesGaleries.DIAPO.0410
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63-EnsembleDesGaleries.DIAPO.0218
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64-EnsembleDesGaleries.DIAPO.0173
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65-EnsembleDesGaleries.DIAPO.0126
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66-EnsembleDesGaleries.DIAPO.0537
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67-EnsembleDesGaleries.DIAPO.0444
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68-EnsembleDesGaleries.DIAPO.0146
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69-EnsembleDesGaleries.DIAPO.0130
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70-EnsembleDesGaleries.DIAPO.0129
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71-EnsembleDesGaleries.DIAPO.0124
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72-EnsembleDesGaleries.DIAPO.0117
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73-EnsembleDesGaleries.DIAPO.0115
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74-EnsembleDesGaleries.DIAPO.0113
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75-EnsembleDesGaleries.DIAPO.0099
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76-EnsembleDesGaleries.DIAPO.0029
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77-AProposSite.01.Fra
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78-Stereogrammes_AutoStereogrammes.01
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79-EnsembleDesGaleries.DIAPO.0691
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80-EnsembleDesGaleries.DIAPO.0653
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81-EnsembleDesGaleries.DIAPO.0652
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82-EnsembleDesGaleries.DIAPO.0552
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83-EnsembleDesGaleries.DIAPO.0533
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84-EnsembleDesGaleries.DIAPO.0449
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85-EnsembleDesGaleries.DIAPO.0416
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86-EnsembleDesGaleries.DIAPO.0336
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87-EnsembleDesGaleries.DIAPO.0116
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88-EnsembleDesGaleries.DIAPO.0114
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89-EnsembleDesGaleries.DIAPO.0104
224 reference(s)
90-EnsembleDesGaleries.DIAPO.0033
224 reference(s)
91-Galerie_GeneralitiesVisualization.DIAPO.0111
223 reference(s)
92-EnsembleDesGaleries.DIAPO.0754
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93-EnsembleDesGaleries.DIAPO.0690
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94-EnsembleDesGaleries.DIAPO.0658
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95-EnsembleDesGaleries.DIAPO.0655
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96-EnsembleDesGaleries.DIAPO.0535
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98-EnsembleDesGaleries.DIAPO.0460
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99-EnsembleDesGaleries.DIAPO.0454
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100-EnsembleDesGaleries.DIAPO.0453
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101-EnsembleDesGaleries.DIAPO.0412
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102-EnsembleDesGaleries.DIAPO.0214
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103-EnsembleDesGaleries.DIAPO.0128
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104-EnsembleDesGaleries.DIAPO.0125
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105-EnsembleDesGaleries.DIAPO.0112
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106-EnsembleDesGaleries.DIAPO.0103
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107-EnsembleDesGaleries.DIAPO.0101
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108-EnsembleDesGaleries.DIAPO.0100
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109-EnsembleDesGaleries.DIAPO.0025
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110-EnsembleDesGaleries.DIAPO.0023
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111-GenieLogiciel.01.Fra
222 reference(s)
112-Galerie_CelestialMechanics.DIAPO.0021
222 reference(s)
113-EnsembleDesGaleries.DIAPO.0692
222 reference(s)
114-EnsembleDesGaleries.DIAPO.0669
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115-EnsembleDesGaleries.DIAPO.0660
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116-EnsembleDesGaleries.DIAPO.0546
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117-EnsembleDesGaleries.DIAPO.0457
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118-EnsembleDesGaleries.DIAPO.0456
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119-EnsembleDesGaleries.DIAPO.0452
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120-EnsembleDesGaleries.DIAPO.0445
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121-EnsembleDesGaleries.DIAPO.0443
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122-EnsembleDesGaleries.DIAPO.0439
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123-EnsembleDesGaleries.DIAPO.0419
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124-EnsembleDesGaleries.DIAPO.0413
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125-EnsembleDesGaleries.DIAPO.0409
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126-EnsembleDesGaleries.DIAPO.0405
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127-EnsembleDesGaleries.DIAPO.0215
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128-EnsembleDesGaleries.DIAPO.0123
222 reference(s)

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




Copyright (c) Jean-François Colonna, 2010-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2010-2018.