Monthly Best Of on 12/28/2010




The Golden Rectangle

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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Contents of this page:


1-The 128 most referenced Pictures (*):

(*): Undisplayed pictures -if any- do not exist.



From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
1-194 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-164 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-128 reference(s)
The Lorenz attractor
4-107 reference(s)
The random walk of photons escaping the Sun
5-105 reference(s)
The random walk of photons escaping the Sun
6-100 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
7-95 reference(s)
Hypercube
8-89 reference(s)
Quark and gluon structure of a nucleon
9-88 reference(s)
A quaternionic Julia set -tridimensional cross-section-
10-87 reference(s)
Zoom in on the von Koch curve
11-85 reference(s)
Quark and gluon structure of a nucleon
12-84 reference(s)
The random walk of photons escaping the Sun
13-79 reference(s)
From the infinitely small to the infinitely big
14-79 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
15-68 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
16-66 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
17-62 reference(s)
Texture animation by means of the generalized Fourier filtering process
18-62 reference(s)
Intertwining
19-61 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
20-57 reference(s)
Autostereogram with an hidden volcano
21-56 reference(s)
Artistic view of the prime numbers
22-56 reference(s)
The random walk of photons escaping the Sun
23-51 reference(s)
The Scream -a Tribute to Edvard Munch-
24-50 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
25-47 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
26-44 reference(s)
Recursive intertwining
27-43 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
28-40 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
29-40 reference(s)
Autostereogram with an hidden volcano
30-39 reference(s)
Paradoxal Monument Valley at sunset
31-37 reference(s)
The Möbius strip
32-37 reference(s)
Electron-positron scattering
33-37 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)
34-36 reference(s)
Along the border of the Mandelbrot set
35-34 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
36-34 reference(s)
Autostereogram of Monument Valley
37-34 reference(s)
The generalized Ulam spiral
38-33 reference(s)
From Pluto to the Sun (non linear scales)
39-33 reference(s)
Jean-François Colonna
40-33 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
41-32 reference(s)
Along the border of the Mandelbrot set
42-31 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
43-30 reference(s)
A set of 4x3 stereograms of a tridimensional visualization of the Verhulst dynamics
44-30 reference(s)
A set of 4x3 stereograms of an interpolation between a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')and a tridimensional Verhulst dynamics -tridimensional cross-section-
45-30 reference(s)
Autostereogram with an hidden volcano
46-29 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
47-28 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
48-28 reference(s)
Artistic view of the Big Bang
49-27 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
50-27 reference(s)
The generalized Ulam spiral displaying 100 numbers
51-27 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
52-27 reference(s)
Tridimensional visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
53-25 reference(s)
A shell (Jeener surface 1)in motion
54-25 reference(s)
Autostereogram with an hidden ring and ghost bows
55-24 reference(s)
Mountains and light clouds
56-24 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
57-24 reference(s)
La Génèse (1974)
58-24 reference(s)
Alien
59-23 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
60-23 reference(s)
Autostereogram with an hidden volcano
61-22 reference(s)
Autostereogram with an hidden volcano
62-22 reference(s)
A variable Archimedes spiral displaying 1000 numbers
63-22 reference(s)
Animation of a sunrise on mountains
64-22 reference(s)
Rotation about the X axis of the Lorenz attractor
65-22 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
66-22 reference(s)
The Birth of the Universe
67-22 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
68-22 reference(s)
16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
69-21 reference(s)
Tridimensional visualization of the Verhulst dynamics
70-21 reference(s)
Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
71-20 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
72-19 reference(s)
The self-similarity of the von Koch curve
73-19 reference(s)
Fractal natural form
74-19 reference(s)
Botticelli anomaly on the Moon
75-19 reference(s)
Different modes of representation of a tridimensional cross-section of a Quaternionic Julia set
76-19 reference(s)
Tridimensional artistic view of the Verhulst dynamics
77-19 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-
78-19 reference(s)
The construction process of the von Koch curve
79-18 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
80-18 reference(s)
True colors autostereogram of a fractal landscape
81-18 reference(s)
A set of 4x3 stereograms of a close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
82-18 reference(s)
Close-up on a foggy 'MandelBox' -tridimensional cross-section-
83-18 reference(s)
Tridimensional visualization of the Verhulst dynamics
84-18 reference(s)
Double impossible staircase
85-18 reference(s)
High temperature particles in a bidimensional box submitted to a vertical field of gravity
86-17 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
87-17 reference(s)
The generalized Ulam spiral displaying 1024 numbers
88-17 reference(s)
A set of 4x3 stereograms of a tridimensional visualization of the Verhulst dynamics
89-17 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
90-17 reference(s)
Tridimensional fractal structure
91-17 reference(s)
Snowy Rocky Mountains
92-17 reference(s)
Generation of the 63 first Conway's surreal numbers
93-16 reference(s)