Gallery :

The 200 Most Recent Pictures on Monday May 20 2013

[Galerie : Les 200 Images les plus récentes à la date du Lundi 20 Mai 2013]




Tridimensional representation of a quadridimensional Calabi-Yau manifold

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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  • The 200 most recent Pictures (among 4959) on 05/20/2013 [Les 200 Images les plus récentes (parmi 4959) le 20/05/2013] :

    • (The first one -top left- is the most recent [la première -en haut et à gauche- est la plus récente])

    No Title 0187 Light clouds Foggy Monument Valley No Title 0184 Island of the Dead -a Tribute to Arnold Böcklin-
    Anaglyph of a fractal-fractal tree A set of 4x3 stereograms of a fractal hypercube No Title 0180 Fractal Notre-Dame de la Garde, Marseilles Fractal Notre-Dame de la Garde, Marseilles
    A fractal-fractal tree A perfect bidimensional fractal tree and the self-similarity Anaglyph of an hypercube A tridimensional distorded -by means of a fractal bidimensional height field- pseudo-periodical Penrose tiling of the Golden Decagon A fractal pseudo-periodical Penrose tiling
    A demonstration of the Pythagoras' theorem A fractal hypercube A fractal Klein bottle A fractal Möbius strip A fractal torus
    A fractal sphere Three hexagons and the 28 first strictly positive integer numbers Tridimensional visualization of the Mandelbrot set with mapping of the arguments -the Mont Saint Michel- Tridimensional display of the inflationary Universe A tridimensional cubic mesh defined by means of three tridimensional fields and transformed using the tridimensional life game
    Pi rotation about the Y axis of pseudo-octonionic Julia set ('MandelBulb' like : a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) -tridimensional cross-section- Fractal tridimensional cubic mesh The Syracuse conjecture -polar coordinates display- The self-similarity of the von Koch curve displayed by means of a zoom in with a ratio that is equal to 3 The Syracuse conjecture -tridimensional display-
    The Syracuse conjecture -monodimensional display- The Goldbach conjecture An interpolation between a 'double sphere' and a cylinder Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')for sixteen different lightings -tridimensional cross-section- The tridimensional Ising Model with 2-state spins, temperature=0.2, random initial conditions and an increasing number of iterations -from 100 to 4000-
    The quaternionic fractal set obtained when computing the roots of Q^3=1 using Newton's method with translation along the third axis of the quaternionic space -tridimensional cross-section- No Title 0165 No Title 0162 Fractal paradoxal structure Fractal intertwining
    Fractal periodical impossible structure Fractal quaternionic shell Tridimensional fractal Self-Portrait Tridimensional Self-Portrait Sixteen interlaced fractal torus
    Sixty-four interlaced fractal torus A pseudo-periodical Penrose tiling of the Golden Decagon Artistic view of a tridimensional Sierpinski 'carpet' computed by means of an 'Iterated Function System' -IFS- Paradoxal structure Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
    Wavelet transform of a bidimensional fractal field (bird's-eye view) Tridimenional display of the Goldbach conjecture A 'mixing' between a tridimensional fractal structure and a close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- The quaternionic Julia set computed with A=(-0.58...,+0.63...,0,0)-tridimensional cross-section- The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
    Tridimensional fractal structure No Title 0161 N-body problem integration (N=3)displaying two planets with symmetrical initial conditions on elliptic trajectories Artistic tridimensional visualization of the Goldbach conjecture The Goldbach conjecture
    Tridimensional fractal structure Anaglyph of the quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section- Anaglyph of a tridimensional representation of a quadridimensional Calabi-Yau manifold Anaglyph of the Lorenz attractor Anaglyph of the tridimensional Hilbert Curve -iteration 3-
    Anaglyph of a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-'the children round' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section- Anaglyph of a close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- Anaglyph of a tridimensional filamentous fractal structure Anaglyph of a tridimensional fractal structure -the space-time foam ?- Anaglyph of a tridimensional fractal structure
    Artistic variation on fractal 3/5/7-foil torus knots Tridimensional visualization of the ABC conjecture Fractal 7-foil torus knot Tridimensional visualization of the ABC conjecture A fractal polyhedron
    No Title 0158 Monument Valley à la David Hockney Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- A set of 4x3 stereograms of a tridimensional fractal structure -the space-time foam ?- A fractal Klein bottle
    A fractal Möbius strip Tridimensional filamentous fractal structure Tridimensional fractal structure -the space-time foam ?- Intertwining Pseudo Olympic Rings
    Birds and fishes An interpolation between a rectangle and a torus Quaternionic butterfly with extended arithmetics Self-Portrait with intertwining No Title 0156
    Rotation about the Y (vertical)axis of the 1-foil torus knot on its torus and its asociated Möbius strip, that can also be viewed as a set of 4x3 stereograms No Title 0155 -a tribute to Yves Tanguy- The Borromean Rings The Borromean Rings Artistic view of an hexagonal tiling of the hyperbolic Poincaré disk -iteration 4-
    Artistic view (bird's-eye view)of an hexagonal tiling of the hyperbolic Poincaré disk -iteration 4- Artistic view of an hexagonal tiling of the hyperbolic Poincaré disk -iteration 4- The u=v line on the Bonan-Jeener's triple Klein bottle and a strip 7-foil torus knot on its torus 1-foil torus knot on its torus and its asociated Möbius strip
    No Title 0154 A tridimensional distorded pseudo-periodical Penrose tiling of the Golden Decagon A tridimensional distorded pseudo-periodical Penrose tiling of the Golden Decagon A pseudo-periodical Penrose tiling of the Golden Decagon A pseudo-periodical non linear Penrose tiling of the plane
    A pseudo-periodical Penrose tiling of the plane A pseudo-periodical Penrose tiling of the plane A pseudo-periodical triangular tiling of the plane A random triangular tiling of the plane The Golden Rectangle
    No Title 0152 No Title 0151 No Title 0150 No Title 0149 An interpolation between the tridimensional Hilbert Curve -iteration 4- and a detail of a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
    An interpolation between the tridimensional Hilbert Curve -iteration 4- and a detail of a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- No Title 0148 An interpolation between the tridimensional Hilbert Curve -iteration 4- and a detail of a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- Artistic variation on the generalized Ulam spiral displaying 81 numbers Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
    An interpolation between the tridimensional Hilbert Curve -iteration 4- and a detail of a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- Vibrating Tridimensional Hilbert Curve -iteration 3- Tridimensional Hilbert Curve -iteration 4- Bidimensional Hilbert Curve -iteration 4- Tridimensional Hilbert Curve -iteration 3-
    Snowy Monument Valley No Title 0146 Tridimensional fractal structure The tridimensional John Conway's life game with random initial conditions -1.6% of occupied cells- Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')transformed using the tridimensional life game -tridimensional cross-section-
    The tridimensional John Conway's life game with random initial conditions -24% of occupied cells- Tridimensional display of the dynamics of the bidimensional John Conway's life game The tridimensional John Conway's life game with random initial conditions -24% of occupied cells- No Title 0144 Foggy Monument Valley
    Foggy Monument Valley Tridimensional display of the dynamics of the bidimensional John Conway's life game Tridimensional display of the dynamics of the bidimensional John Conway's life game Paradoxal Monument Valley at sunset Cloudy Monument Valley
    Paradoxal Monument Valley at sunset Cloudy Monument Valley The Bonan-Jeener's 12-bottle before a paradoxal field Recursive intertwining Intertwining
    The Bonan-Jeener's 12-bottle before a paradoxal field From the infinitely small to the infinitely big Tridimensional display of the Riemann Zeta function inside (+0.1,+0.9)x(0,+50) Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 'complex' transformation in the pseudo-octonionic space -tridimensional cross-section- No Title 0143
    No Title 0142 Zoom in on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 'complex' module transformation in the pseudo-octonionic space -tridimensional cross-section-
    Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- Clouds No Title 0141 Merry Christmas 2011 No Title 0139
    Tridimensional visualization of the Verhulst dynamics with a QxQ conformal transformation in the pseudo-quaternionic space Tridimensional visualization of the Verhulst dynamics with a 1/Q conformal transformation in the pseudo-quaternionic space The pseudo-sphere -a Tribute to Jacques Cartier- Intertwining Intertwining
    Intertwining A foggy pseudo-octonionic Julia set ('MandelBulb' like : a 'JuliaBulb')computed with A=(0,1,0,0,0,0,0,0) and with a locally variable exponent between 2 and 12 -tridimensional cross-section- Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a (4xO+1)/(1xO-1) conformal transformation in the pseudo-octonionic space -tridimensional cross-section- Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a (4xO+1)/(1xO-1) conformal transformation in the pseudo-octonionic space -tridimensional cross-section- Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a OxO conformal transformation in the pseudo-octonionic space -tridimensional cross-section-
    Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a OxO conformal transformation in the pseudo-octonionic space -tridimensional cross-section- Quantum vacuum fluctuations Quark and gluon structure of the nucleon Quark and gluon structure of the meson Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 1/O conformal transformation in the pseudo-octonionic space -tridimensional cross-section-
    Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 1/O conformal transformation in the pseudo-octonionic space -tridimensional cross-section- Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 1/Z conformal transformation in the complex plane -tridimensional cross-section- Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 1/Z conformal transformation in the complex plane -tridimensional cross-section- A set of 4x3 stereograms of a close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- Close-up on an hybrid pseudo-octonionic Mandelbrot-Julia set ('MandelBulb' like : a 'MandelJuliaBulb')-tridimensional cross-section-
    Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- A foggy pseudo-octonionic Julia set ('MandelBulb' like : a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) -tridimensional cross-section- A foggy pseudo-octonionic Julia set ('MandelBulb' like : a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) -tridimensional cross-section- No Title 0138 No Title 0137 -a tribute to Yves Tanguy-
    Octonionic mountains with extended arithmetics Close-up on a foggy pseudo-octonionic Julia set ('MandelBulb' like : a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) -tridimensional cross-section- A foggy pseudo-octonionic Julia set ('MandelBulb' like : a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) -tridimensional cross-section- A foggy pseudo-octonionic Julia set ('MandelBulb' like : a 'JuliaBulb')computed with A=(0,1,0,0,0,0,0,0) -tridimensional cross-section- The octonionic Julia set computed with A=(-0.58...,+0.63...,0,0,0,0,0,0)-tridimensional cross-section-
    The octonionic Julia set computed with A=(0,1,0,0,0,0,0,0)-tridimensional cross-section- Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- Octonionic archimedian spirals with extended arithmetics Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
    Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- Octonionic clovers with extended arithmetics Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-





    Copyright (c) Jean-François Colonna, 2000-2013.
    Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2000-2013.