Monthly Best Of on 01/27/2006




A 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.58...,+0.63...,0,0)-tridimensional cross-section-

Jean-François COLONNA
[Contact me]

www.lactamme.polytechnique.fr

CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, École polytechnique, Institut Polytechnique de Paris, CNRS, France
france telecom, France Telecom R&D

[Site Map, Help and Search [Plan du Site, Aide et Recherche]]
[The Y2K Bug [Le bug de l'an 2000]]
[Real Numbers don't exist in Computers and Floating Point Computations aren't safe. [Les Nombres Réels n'existent dans les Ordinateurs et les Calculs Flottants ne sont pas sûrs.]]
[Please, visit A Virtual Machine for Exploring Space-Time and Beyond, the place where you can find thousands of pictures and animations between Art and Science]
(CMAP28 WWW site: this page was created on 01/27/2006 and last updated on 11/14/2023 17:46:51 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Black dots (inside random white squares)on a square lattice
1-2529 reference(s)		 A uniform grey stripe on a grey scale
2-2171 reference(s)		 Psychedelic hypercube
3-1974 reference(s)		 The random walk of photons escaping the Sun
4-1613 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
5-1583 reference(s)		 The bottom of the sea
6-987 reference(s)		 The Lorenz attractor
7-971 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
8-963 reference(s)
Quark and gluon structure of a nucleon
9-905 reference(s)		 Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
10-846 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
11-823 reference(s)		 Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
12-820 reference(s)
Along the border of the Mandelbrot set
13-819 reference(s)		 Welcome aboard A VIRTUAL SPACE-TIME TRAVEL MACHINE
14-800 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
15-796 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
16-765 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
17-755 reference(s)		 Alien
18-732 reference(s)		 The generalized Ulam spiral displaying 100 numbers
19-720 reference(s)		 Beyond the Gate
20-719 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
21-684 reference(s)		 A shell (Jeener surface 1)in motion
22-683 reference(s)		 Mountains at sunrise
23-679 reference(s)		 Artistic view of the Big Bang
24-676 reference(s)
Tridimensional heterogeneous fractal structure in a tridimensional torus
25-676 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
26-673 reference(s)		 Golden ring
27-669 reference(s)		 Autostereogram with an hidden volcano
28-666 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
29-666 reference(s)		 A shell (Jeener surface 1)in motion
30-651 reference(s)		 Botticelli anomaly on the Moon
31-647 reference(s)		 Synthesis of tridimensional symmetrical geometrical textures
32-644 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
33-644 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
34-642 reference(s)		 Autostereogram with an hidden volcano
35-636 reference(s)		 The random walk of photons escaping the Sun
36-632 reference(s)
Synthesis of bidimensional textures by means of the self-transformation of a fractal process
37-626 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
38-624 reference(s)		 The Eratosthene sieve displaying 100x100 numbers
39-621 reference(s)		 Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
40-620 reference(s)
Tridimensional fractal structure
41-616 reference(s)		 Artistic view of the Solar System viewed from a virtual planet
42-615 reference(s)		 Carnival
43-611 reference(s)		 Artistic view of a quadridimensional Calabi-Yau manifold
44-608 reference(s)
An Archimedes spiral displaying 1000 numbers
45-607 reference(s)		 The generalized Ulam spiral displaying 1024 numbers
46-601 reference(s)		 Self-transformation of an arbitrary geometrical texture
47-597 reference(s)		 Vibrations 0001
48-593 reference(s)
Snowy multifractal mountains
49-589 reference(s)		 Voronoi diagrams
50-586 reference(s)		 The Eratosthene sieve displaying 10x10 numbers
51-586 reference(s)		 Synthesis of bidimensional geometrical textures
52-582 reference(s)
The Jeener-Klein triple bottle
53-578 reference(s)		 Artistic view of 128 quaternionic Julia sets -tridimensional cross-sections-
54-577 reference(s)		 Quantum vacuum fluctuations
55-574 reference(s)		 Tridimensional Mondrian -a Tribute to Piet Mondrian-
56-572 reference(s)
White Hole
57-572 reference(s)		 A bidimensional Sierpinski 'carpet' computed by means of an 'Iterated Function System' -IFS-
58-570 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
59-570 reference(s)		 Self-transformation of an arbitrary geometrical texture
60-568 reference(s)
Monument Valley at sunrise
61-568 reference(s)		 Untitled 0031
62-567 reference(s)		 Synthesis of bi and tridimensional geometrical textures
63-567 reference(s)		 Synthesis of bidimensional geometrical textures
64-565 reference(s)
Hypercube
65-563 reference(s)		 Tridimensional fractal structure in a tridimensional torus
66-562 reference(s)		 Convolution of a detail of the Mandelbrot set
67-560 reference(s)		 Synthesis of tridimensional textures by means of a fractal process
68-560 reference(s)
A pyramidal Menger sponge computed by means of an 'Iterated Function System' -IFS-
69-559 reference(s)		 Synthesis of periodical tridimensional textures by means of a fractal process
70-559 reference(s)		 The first two iterations of the construction of the von Koch curve
71-558 reference(s)		 A gaussian mixing of a sphere and of the Möbius strip defined by means of three bidimensional fields
72-558 reference(s)
An Archimedes spiral displaying 100 numbers
73-558 reference(s)		 Synthesis of bidimensional geometrical textures
74-557 reference(s)		 Archimedes spirals
75-556 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)
76-555 reference(s)
Light clouds
77-554 reference(s)		 The Klein bottle
78-554 reference(s)		 Self-transformation of an arbitrary geometrical texture
79-551 reference(s)		 Artistic view of the trajectories of bidimensional fractal aggregates obtained by means of pasting during collisions of particles submitted to an attractive central field of gravity
80-551 reference(s)
Tridimensional visualization of a bidimensional turbulent flow -sensitivity to initial conditions (the Red one, the Green one and the Blue one)-
81-551 reference(s)		 Foggy seaboard
82-551 reference(s)		 Exploding tridimensional fractal aggregate
83-550 reference(s)		 Alien spacecrafts on the Moon
84-549 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
85-549 reference(s)		 Synthesis of tridimensional textures by means of a fractal process
86-547 reference(s)		 Artistic view of the Solar System viewed from a virtual planet -a Tribute to Isaac Newton-
87-547 reference(s)		 Synthesis of bidimensional geometrical textures
88-547 reference(s)
Cracks
89-547 reference(s)		 Synthesis of bidimensional textures
90-546 reference(s)		 The foggy Earth planet
91-546 reference(s)		 Alien
92-545 reference(s)
Synthesis of tridimensional textures by means of a fractal process and of a fourth degree Verhulst-like dynamics
93-545 reference(s)		 Tridimensional 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
94-543 reference(s)		 Synthesis of tridimensional textures by means of a fractal process
95-543 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
96-542 reference(s)
Isotropic random walk of 4 particles on a bidimensional square lattice with display of their gravity center -white particle-
97-541 reference(s)		 An arbitrary geometrical texture
98-539 reference(s)		 Untitled 0041
99-538 reference(s)		 Self-transformation of an arbitrary geometrical texture
100-537 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
101-537 reference(s)		 A Jeener-Möbius tridimensional manifold
102-537 reference(s)		 Happy new year 2000
103-537 reference(s)		 Self-transformation of an arbitrary geometrical texture
104-536 reference(s)
Self-transformation of an arbitrary geometrical texture
105-536 reference(s)		 An arbitrary geometrical texture
106-535 reference(s)		 Synthesis of tridimensional textures by means of a fractal process
107-535 reference(s)		 Snowy multifractal mountains
108-534 reference(s)
The Möbius strip
109-534 reference(s)		 Tridimensional visualization of a bidimensional turbulent flow
110-534 reference(s)		 The bidimensional field defining the three coordinates of a fractal surface
111-533 reference(s)		 Foggy 'anti-seaboard'
112-533 reference(s)
The normal field of a shell (Jeener surface 1)
113-532 reference(s)		 Foggy Brittany
114-532 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-
115-532 reference(s)		 The Scream -a Tribute to Edvard Munch-
116-531 reference(s)
Circular worm
117-531 reference(s)		 Synthesis of tridimensional textures by means of a fractal process
118-530 reference(s)		 The foggy Earth 'anti-planet'
119-530 reference(s)		 1/Z conformal transformation of concentric circles in the complex plane
120-530 reference(s)
The Jeener-Klein triple bottle
121-530 reference(s)		 The Boy surface
122-529 reference(s)		 Inside the Gate
123-529 reference(s)		 The Gate
124-529 reference(s)
Morning sun pool
125-529 reference(s)		 Foggy island
126-529 reference(s)		 A sphere defined by means of three bidimensional fields
127-528 reference(s)		 Flames
128-526 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
3601 reference(s)		 2-Galerie_GeneralitiesVisualization.FV
2918 reference(s)
3-An2000.01.Fra
2298 reference(s)		 4-AVirtualSpaceTimeTravelMachine.Fra.FV
1882 reference(s)
5-AVirtualSpaceTimeTravelMachine.Ang
1486 reference(s)		 6-Galerie_QuantumMechanics.FV
1046 reference(s)
7-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
986 reference(s)		 8-help.
890 reference(s)
9-Galerie_ArtisticCreation.FV
759 reference(s)		 10-Galerie_CelestialMechanics.FV
740 reference(s)
11-Commentaires_SystemeSolaire.01
706 reference(s)		 12-EnsembleDesGaleries.DIAPO.0001
658 reference(s)
13-AVirtualSpaceTimeTravelMachine.Fra
629 reference(s)		 14-EnsembleDesGaleries.DIAPO.0002
627 reference(s)
15-EnsembleDesGaleries.DIAPO.0003
596 reference(s)		 16-Fractal.01
583 reference(s)
17-EnsembleDesGaleries.DIAPO.0004
559 reference(s)		 18-present.01.
557 reference(s)
19-EnsembleDesGaleries.DIAPO.0005
551 reference(s)		 20-Galerie_DeterministicFractalGeometry.FV
550 reference(s)
21-EnsembleDesGaleries.DIAPO.0006
548 reference(s)		 22-EnsembleDesGaleries.DIAPO.0008
547 reference(s)
23-EnsembleDesGaleries.DIAPO.0007
546 reference(s)		 24-EnsembleDesGaleries.DIAPO.0011
545 reference(s)
25-EnsembleDesGaleries.DIAPO.0009
545 reference(s)		 26-EnsembleDesGaleries.DIAPO.0013
543 reference(s)
27-EnsembleDesGaleries.DIAPO.0016
542 reference(s)		 28-EnsembleDesGaleries.DIAPO.0010
542 reference(s)
29-EnsembleDesGaleries.DIAPO.0014
541 reference(s)		 30-EnsembleDesGaleries.DIAPO.0012
540 reference(s)
31-EnsembleDesGaleries.DIAPO.0017
539 reference(s)		 32-EnsembleDesGaleries.DIAPO.0015
537 reference(s)
33-EnsembleDesGaleries.DIAPO.0038
533 reference(s)		 34-EnsembleDesGaleries.DIAPO.0029
533 reference(s)
35-EnsembleDesGaleries.DIAPO.0020
533 reference(s)		 36-EnsembleDesGaleries.DIAPO.0023
532 reference(s)
37-EnsembleDesGaleries.DIAPO.0024
531 reference(s)		 38-EnsembleDesGaleries.DIAPO.0018
531 reference(s)
39-EnsembleDesGaleries.DIAPO.0019
530 reference(s)		 40-EnsembleDesGaleries.DIAPO.0062
529 reference(s)
41-EnsembleDesGaleries.DIAPO.0040
529 reference(s)		 42-EnsembleDesGaleries.DIAPO.0061
528 reference(s)
43-EnsembleDesGaleries.DIAPO.0034
528 reference(s)		 44-EnsembleDesGaleries.DIAPO.0026
528 reference(s)
45-EnsembleDesGaleries.DIAPO.0051
527 reference(s)		 46-EnsembleDesGaleries.DIAPO.0022
527 reference(s)
47-ImagesDuVirtuel.01.Fra
526 reference(s)		 48-EnsembleDesGaleries.DIAPO.0076
526 reference(s)
49-EnsembleDesGaleries.DIAPO.0059
526 reference(s)		 50-EnsembleDesGaleries.DIAPO.0035
526 reference(s)
51-EnsembleDesGaleries.DIAPO.0027
526 reference(s)		 52-EnsembleDesGaleries.DIAPO.0057
525 reference(s)
53-EnsembleDesGaleries.DIAPO.0052
525 reference(s)		 54-EnsembleDesGaleries.DIAPO.0048
525 reference(s)
55-EnsembleDesGaleries.DIAPO.0046
525 reference(s)		 56-EnsembleDesGaleries.DIAPO.0031
525 reference(s)
57-EnsembleDesGaleries.DIAPO.0025
525 reference(s)		 58-EnsembleDesGaleries.DIAPO.0039
524 reference(s)
59-EnsembleDesGaleries.DIAPO.0037
524 reference(s)		 60-EnsembleDesGaleries.DIAPO.0036
524 reference(s)
61-EnsembleDesGaleries.DIAPO.0032
524 reference(s)		 62-EnsembleDesGaleries.DIAPO.0028
524 reference(s)
63-EnsembleDesGaleries.DIAPO.0021
524 reference(s)		 64-EnsembleDesGaleries.DIAPO.0080
523 reference(s)
65-EnsembleDesGaleries.DIAPO.0074
523 reference(s)		 66-EnsembleDesGaleries.DIAPO.0054
523 reference(s)
67-EnsembleDesGaleries.DIAPO.0049
523 reference(s)		 68-EnsembleDesGaleries.DIAPO.0030
523 reference(s)
69-EnsembleDesGaleries.DIAPO.0079
521 reference(s)		 70-EnsembleDesGaleries.DIAPO.0075
521 reference(s)
71-EnsembleDesGaleries.DIAPO.0073
521 reference(s)		 72-EnsembleDesGaleries.DIAPO.0058
521 reference(s)
73-EnsembleDesGaleries.DIAPO.0056
521 reference(s)		 74-EnsembleDesGaleries.DIAPO.0055
521 reference(s)
75-EnsembleDesGaleries.DIAPO.0050
521 reference(s)		 76-EnsembleDesGaleries.DIAPO.0047
521 reference(s)
77-EnsembleDesGaleries.DIAPO.0045
521 reference(s)		 78-EnsembleDesGaleries.DIAPO.0043
521 reference(s)
79-EnsembleDesGaleries.DIAPO.0092
520 reference(s)		 80-EnsembleDesGaleries.DIAPO.0077
520 reference(s)
81-EnsembleDesGaleries.DIAPO.0053
520 reference(s)		 82-EnsembleDesGaleries.DIAPO.0044
520 reference(s)
83-EnsembleDesGaleries.DIAPO.0042
520 reference(s)		 84-Galerie_ParticleSystems.FV
519 reference(s)
85-EnsembleDesGaleries.DIAPO.0100
519 reference(s)		 86-EnsembleDesGaleries.DIAPO.0093
519 reference(s)
87-EnsembleDesGaleries.DIAPO.0085
519 reference(s)		 88-EnsembleDesGaleries.DIAPO.0063
519 reference(s)
89-EnsembleDesGaleries.DIAPO.0098
518 reference(s)		 90-EnsembleDesGaleries.DIAPO.0083
518 reference(s)
91-EnsembleDesGaleries.DIAPO.0060
518 reference(s)		 92-EnsembleDesGaleries.DIAPO.0033
518 reference(s)
93-EnsembleDesGaleries.DIAPO.0206
517 reference(s)		 94-EnsembleDesGaleries.DIAPO.0099
517 reference(s)
95-EnsembleDesGaleries.DIAPO.0096
517 reference(s)		 96-EnsembleDesGaleries.DIAPO.0094
517 reference(s)
97-EnsembleDesGaleries.DIAPO.0091
517 reference(s)		 98-EnsembleDesGaleries.DIAPO.0082
517 reference(s)
99-EnsembleDesGaleries.DIAPO.0071
517 reference(s)		 100-EnsembleDesGaleries.DIAPO.0070
517 reference(s)
101-EnsembleDesGaleries.DIAPO.0041
517 reference(s)		 102-EnsembleDesGaleries.DIAPO.0266
516 reference(s)
103-EnsembleDesGaleries.DIAPO.0106
516 reference(s)		 104-EnsembleDesGaleries.DIAPO.0097
516 reference(s)
105-EnsembleDesGaleries.DIAPO.0072
516 reference(s)		 106-EnsembleDesGaleries.DIAPO.0069
516 reference(s)
107-EnsembleDesGaleries.DIAPO.0067
516 reference(s)		 108-EnsembleDesGaleries.DIAPO.0109
515 reference(s)
109-EnsembleDesGaleries.DIAPO.0065
515 reference(s)		 110-EnsembleDesGaleries.DIAPO.0064
515 reference(s)
111-EnsembleDesGaleries.DIAPO.0383
514 reference(s)		 112-EnsembleDesGaleries.DIAPO.0251
514 reference(s)
113-EnsembleDesGaleries.DIAPO.0248
514 reference(s)		 114-EnsembleDesGaleries.DIAPO.0224
514 reference(s)
115-EnsembleDesGaleries.DIAPO.0116
514 reference(s)		 116-EnsembleDesGaleries.DIAPO.0111
514 reference(s)
117-EnsembleDesGaleries.DIAPO.0068
514 reference(s)		 118-EnsembleDesGaleries.DIAPO.0066
514 reference(s)
119-EnsembleDesGaleries.DIAPO.0389
513 reference(s)		 120-EnsembleDesGaleries.DIAPO.0239
513 reference(s)
121-EnsembleDesGaleries.DIAPO.0117
513 reference(s)		 122-EnsembleDesGaleries.DIAPO.0114
513 reference(s)
123-EnsembleDesGaleries.DIAPO.0105
513 reference(s)		 124-EnsembleDesGaleries.DIAPO.0081
513 reference(s)
125-EnsembleDesGaleries.DIAPO.0301
512 reference(s)		 126-EnsembleDesGaleries.DIAPO.0228
512 reference(s)
127-EnsembleDesGaleries.DIAPO.0227
512 reference(s)		 128-EnsembleDesGaleries.DIAPO.0113
512 reference(s)

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




Copyright © Jean-François COLONNA, 2006-2023.
Copyright © France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2006-2023.