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THE 128 MOST RECENT PICTURES on Wednesday March 17 2010

[Les 128 Images les plus récentes à la date du Mercredi 17 Mars 2010]

Tridimensional representation of a quadridimensional Calabi-Yau manifold

Jean-François COLONNA

CMAP (Centre de Mathématiques APpliquées), Ecole Polytechnique, CNRS
91128 Palaiseau Cedex
France

tel = +33.(0)1.69.33.46.45
jean-francois.colonna@polytechnique.edu

http://www.lactamme.polytechnique.fr

http://www.cmap.polytechnique.fr/~colonna

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The 128 most recent Pictures (among 3329) on Wednesday March 17 2010 [Les 128 Images les plus récentes (parmi 3329) à la date du Mercredi 17 Mars 2010] :

The quaternionic Julia set computed with A=(-0.5815147625160462,0.6358885017421603,0,0)

The peeling of a quaternionic Julia set

Some quaternionic Julia sets computed in the neighbourhood of A=(-0.5815147625160462,0.6358885017421603,0,0)

Four interlaced torus

The Lorenz attractor

The quadruple Jeener bottle

An interpolation between four interlaced torus and the quadruple Jeener bottle defined by means of three sets of bidimensional fields

A dynamics of four interlaced torus defined by means of three sets of bidimensional fields

An interpolation between the quadruple Jeener bottle and the octuple Jeener bottle defined by means of three bidimensional fields

A recursive intertwining animation

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

A dynamics of four interlaced torus defined by means of three sets of bidimensional fields

Sixteen interlaced torus

An interpolation between two sets of interlaced torus -four and sixteen respectively- defined by means of three sets of bidimensional fields

An interpolation between sixteen interlaced torus and the quadruple Jeener bottle defined by means of three sets of bidimensional fields

Sixty-four interlaced torus

Rotation about the Y (vertical)axis of sixteen interlaced torus that can also be viewed as a set of 4x3 stereograms

From a torus to a cylinder

No Title 0123

No Title 0124

Rotation about the Y (vertical)axis of a tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation) that can also be viewed as a set of 4x3 stereograms

No Title 0125

Artistic view of the Big Bang

Tridimensional integration of the anisotropic gaussian Fourier filtering of a random field with a 2.pi rotation of the kernel

Anisotropic gaussian Fourier filtering of a random field with a 2.pi rotation of the kernel

Tridimensional integrations of sixteen different anisotropic gaussian Fourier filtering of a random field with a 2.pi rotation of the kernel

No Title 0126

Intertwining

Intertwining

Intertwining

Intertwining

The sum of all '512x512' pictures on 08/30/2009

The sum of all '780x575' pictures on 08/30/2009

A set of 4x3 stereograms of a tridimensional integration of an anisotropic gaussian Fourier filtering of a random field with a 2.pi rotation of the kernel

A set of 4x3 stereograms of the quaternionic Julia set computed with A=(0,1,0,0)

A set of 4x3 stereograms of the quaternionic Julia set computed with A=(-0.5815147625160462,0.6358885017421603,0,0)

$A set of 4x3 stereograms of a fractal mountain$

A set of 4x3 stereograms of a few Babel Towers

Artistic view of mountains

No Title 0127

No Title 0128

No Title 0129

No Title 0130

A set of 4x3 stereograms of a few Monument Valleys at sunset

A set of 4x3 stereograms of a few Monument Valleys at sunset

$A set of 4x3 stereograms of a tridimensional fractal structure$

No Title 0131

A set of 4x3 stereograms of the Solar System with a green virtual planet -virtual planet point of view-

A set of 4x3 stereograms of the Solar System with a green virtual planet -virtual planet point of view-

A set of 4x3 stereograms of the Solar System with a green virtual planet -virtual planet point of view-

A set of 4x3 stereograms of the Solar System with a green virtual planet -virtual planet point of view-

A set of 4x3 stereograms of the Solar System with a green virtual planet -virtual planet point of view-

$Zoom in on a fractal diffusion front in a bidimensional medium obtained by means of a random walk process$

Foggy Islands

Islands at sunset

The relief -modulus- of the function exp(1/z)defined by means of three bidimensional fields

The relief -modulus- of the function exp(1/z)with argument mapping (bird's-eye view)

The relief -modulus- of the function exp(1/z)with argument mapping

The relief -modulus- of the function sin(z)defined by means of three bidimensional fields

The relief -modulus- of the function sin(z)with argument mapping

The 5x5=25 patches of the tridimensional representation of a quadridimensional Calabi-Yau manifold

Bidimensional zoom in on the Mandelbrot set with display of the arguments

Tridimensional zoom in on the Mandelbrot set with mapping of the arguments

Tridimensional visualization of the Mandelbrot set with mapping of the arguments

Tridimensional visualization of the Mandelbrot set with mapping of the arguments

Tridimensional visualization of the Mandelbrot set with mapping of the arguments

Tridimensional visualization of the Mandelbrot set with mapping of the arguments

Tridimensional visualization of the Mandelbrot set with mapping of the arguments

The quaternionic Mandelbrot set

2.pi rotation about the Y axis of a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')

A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')

A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')

A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')

Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')

Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')

A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')

A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')

Rotation about the Y (vertical)axis of a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb') that can also be viewed as a set of 4x3 stereograms

2.pi rotation about the Y axis of a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')

A foggy pseudo-quaternionic Julia set ('MandelBulb' like : a 'JuliaBulb')computed with A=(-0.5815147625160462,0.6358885017421603,0,0)

2.pi rotation about the Y axis of a pseudo-quaternionic Julia set ('MandelBulb' like : a 'JuliaBulb')

Artistic view of a pseudo-quaternionic Julia set ('MandelBulb' like : a 'JuliaBulb')computed with A=(-0.5815147625160462,0.6358885017421603,0,0)

$Tridimensional fractal structure$

Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')

A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')

The Liouville function displayed as a bidimensional random walk for the integer numbers from 2 to 100001

A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')

The Liouville function displayed as a bidimensional random walk for the integer numbers from 2 to 1001

The Liouville function displayed as a bidimensional random walk for the integer numbers from 2 to 100001

The Liouville function displayed as a tridimensional random walk for the integer numbers from 2 to 150001

From the infinitely small to the infinitely big

The special Liouville function displayed as a bidimensional random walk for the integer numbers from 2 to 200001 (Red), 2 to 400001 (Green) and 2 to 800001 (Blue)

A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')

Pi rotation about the Y axis of a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')

Zoom in on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')

Zoom in on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')

2.pi rotation about the Y axis of a pseudo-quaternionic Julia set ('MandelBulb' like : a 'JuliaBulb')

A foggy pseudo-quaternionic Julia set ('MandelBulb' like : a 'JuliaBulb')computed with A=(-0.5815147625160462,0.6358885017421603,0,0)

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

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

A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-or again the children round-

Translation along the fourth axis of a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')

A 'cloudy' pseudo-quaternionic Mandelbrot set (a 'MandelBulb')

$Tridimensional fractal structure$

$Tridimensional fractal structure$

$A 'mixing' between a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')and a tridimensional fractal structure$

$A 'mixing' between a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')and a tridimensional fractal structure$

$A 'mixing' between a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')and a tridimensional fractal structure$

Light cloud dynamics

The special Liouville function displayed as a bidimensional random walk for the integer numbers from 2 to 400001 (Red), 2 to 800001 (Green) and 2 to 1600001 (Blue)

Fractal texture dynamics

A textured pseudo-quaternionic Mandelbrot set (a 'MandelBulb')

$The pseudo-quaternionic fractal set obtained when computing the roots of Q^3=1 using Newton's method with translation along the third axis of the pseudo-quaternionic space (a 'NewtonBulb')$

A foggy pseudo-quaternionic Julia set ('MandelBulb' like : a 'JuliaBulb')computed with A=(0,1,0,0) and with a locally variable exponent between 2 and 12

A foggy pseudo-quaternionic Julia set ('MandelBulb' like : a 'JuliaBulb')computed with A=(0,1,0,0) and with a locally variable exponent between 2 and 16

A foggy pseudo-quaternionic Julia set ('MandelBulb' like : a 'JuliaBulb')computed with A=(0,1,0,0) and with a locally variable exponent between 2 and 12

A foggy pseudo-quaternionic Julia set ('MandelBulb' like : a 'JuliaBulb')computed with A=(0,1,0,0) and with a locally variable exponent between 2 and 6

A foggy pseudo-quaternionic Julia set ('MandelBulb' like : a 'JuliaBulb')computed with A=(0,1,0,0) and with a locally variable exponent and angle ponderations between 2 and 8

2.pi rotation about the Y axis of a pseudo-quaternionic Julia set ('MandelBulb' like : a 'JuliaBulb')

2.pi rotation about the Y axis of a pseudo-quaternionic Julia set ('MandelBulb' like : a 'JuliaBulb')

2.pi rotation about the Y axis of a pseudo-quaternionic Julia set ('MandelBulb' like : a 'JuliaBulb')

2.pi rotation about the Y axis of a 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set

Artistic view of a 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.5815147625160462,0.6358885017421603,0,0)

Artistic view of a 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.5815147625160462,0.6358885017421603,0,0)

2.pi rotation about the Y axis of a pseudo-quaternionic Julia set ('MandelBulb' like : a 'JuliaBulb')

2.pi rotation about the Y axis of a pseudo-quaternionic Julia set ('MandelBulb' like : a 'JuliaBulb')

2.pi rotation about the Y axis of a pseudo-quaternionic Julia set ('MandelBulb' like : a 'JuliaBulb')

2.pi rotation about the Y axis of a pseudo-quaternionic Julia set ('MandelBulb' like : a 'JuliaBulb')

Copyright (c) Jean-François Colonna, 2000-2010.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) / Ecole Polytechnique, 2000-2010.