Gallery :

The 200 Most Recent Pictures on Wednesday May 16 2012

[Galerie : Les 200 Images les plus récentes à la date du Mercredi 16 Mai 2012]




Tridimensional representation of a quadridimensional Calabi-Yau manifold

Jean-François COLONNA

CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, Ecole Polytechnique, CNRS
91128 Palaiseau Cedex, France

http://www.lactamme.polytechnique.fr


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  • The 200 most recent Pictures (among 4271) on Wednesday May 16 2012 [Les 200 Images les plus récentes (parmi 4271) à la date du Mercredi 16 Mai 2012] :

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

    1-foil torus knot on its torus and its asociated Möbius strip No Title 0154 A tridimensional distorded pseudo-periodical non linear Penrose tiling of the Golden Pentagon A tridimensional distorded pseudo-periodical non linear Penrose tiling of the Golden Pentagon A pseudo-periodical non linear Penrose tiling of the Golden Pentagon
    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') An interpolation between the tridimensional Hilbert Curve -iteration 4- and a detail of a pseudo-octonionic Mandelbrot set (a 'Mandelbulb') No Title 0148 An interpolation between the tridimensional Hilbert Curve -iteration 4- and a detail of a pseudo-octonionic Mandelbrot set (a 'Mandelbulb') 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') 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 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
    No Title 0143 No Title 0142 Zoom in on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb') Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb') Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')
    Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 'complex' module transformation in the pseudo-octonionic space Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb') 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 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a (4xO+1)/(1xO-1) conformal transformation in the pseudo-octonionic space Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a (4xO+1)/(1xO-1) conformal transformation in the pseudo-octonionic space
    Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a OxO conformal transformation in the pseudo-octonionic space Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a OxO conformal transformation in the pseudo-octonionic space 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 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 1/O conformal transformation in the pseudo-octonionic space Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 1/Z conformal transformation in the complex plane Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 1/Z conformal transformation in the complex plane A set of 4x3 stereograms of a close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')
    Close-up on an hybrid pseudo-octonionic Mandelbrot-Julia set ('MandelBulb' like : a 'MandelJuliaBulb') Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb') A foggy pseudo-octonionic Julia set ('MandelBulb' like : a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) A foggy pseudo-octonionic Julia set ('MandelBulb' like : a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) 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) A foggy pseudo-octonionic Julia set ('MandelBulb' like : a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) A foggy pseudo-octonionic Julia set ('MandelBulb' like : a 'JuliaBulb')computed with A=(0,1,0,0,0,0,0,0)
    The octonionic Julia set computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) The octonionic Julia set computed with A=(0,1,0,0,0,0,0,0) Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb') Octonionic archimedian spirals with extended arithmetics Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')
    Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb') Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb') Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb') Octonionic clovers with extended arithmetics Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')
    Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb') A pseudo-octonionic Mandelbrot set (a 'Mandelbulb') Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb') Quark and gluon structure of a nucleon Rotation about the Y (vertical)axis of a tridimensional representation of quadridimensional Calabi-Yau manifolds that can also be viewed as a set of 4x3 stereograms -Calabi-Yau manifolds attached to every point of our familiar tridimensional space ?-
    Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space ?- Intertwining Rotation about the Y (vertical)axis of a tridimensional representation of quadridimensional Calabi-Yau manifolds that can also be viewed as a set of 4x3 stereograms -Calabi-Yau manifolds attached to every point of a fractal tridimensional space- Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space- Rotation about the Y (vertical)axis of a tridimensional representation of quadridimensional Calabi-Yau manifolds that can also be viewed as a set of 4x3 stereograms -Calabi-Yau manifolds attached to every point of our familiar tridimensional space ?-
    Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space ?- Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space ?- No Title 0136 The sum of all '780x575' pictures on 06/15/2011 The sum of all '512x512' pictures on 06/15/2011
    Double autostereogram -using a periodical paradoxal structure and periodical light clouds as desguise textures- with two hidden gaussian mountains Autostereogram -using periodical light clouds as desguise texture- with a hidden gaussian mountain Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain Paradoxal structure -from Order to Disorder- Paradoxal structure in the sky
    Paradoxal structure Double impossible staircase built by means of a paradoxal structure Universe or Multiverse -The fractal Universe- ? Intertwining Double impossible staircase painting a paradoxal structure
    Paradoxal structure Paradoxal black hole Intertwining Paradoxal structure based on the geometry of the Boy surface Paradoxal structure based on the geometry of the Bonan-Jeener's triple Klein bottle
    Paradoxal structure based on the geometry of the sphere Paradoxal structure based on the geometry of the plane Double impossible staircase and a paradoxal structure Paradoxal structure based on the geometry of the Boy surface Paradoxal structure based on the geometry of the Bonan-Jeener's triple Klein bottle
    Paradoxal structure based on the geometry of the sphere Rotation about the Y (vertical)axis of a tridimensional brownian motion that can also be viewed as a set of 4x3 stereograms Bidimensional brownian motion with a gaussian distribution law regarding the radial coordinate Bidimensional brownian motion with three different distribution laws regarding the radial coordinate -60 points starting from the white point at the picture center- A fractal mountain using a gaussian model with various standard deviation values (decreasing from 0.06 to 0.02)
    A fractal mountain using a gaussian model with various standard deviation values -decreasing from 0.06 to 0.02- (bird's-eye view) Artistic view of a binomial multiplicative cascade with ponderations equal to 0.3 -left- and 1-0.3=0.7 -right- Binomial multiplicative cascade with ponderations equal to 0.3 -left- and 1-0.3=0.7 -right- Beautiful self-similarity Binomial multiplicative cascade with ponderations equal to 0.4 -left- and 1-0.4=0.6 -right-
    Syracuse sequence A tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb') A tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments A tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
    A tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments A tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments Recursive 5-star Recursive pentagon A set of 4x3 stereograms of an interpolation between a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')and a tridimensional Verhulst dynamics
    A set of 4x3 stereograms of a tridimensional visualization of the Verhulst dynamics A set of 4x3 stereograms of a tridimensional visualization of the Verhulst dynamics A set of 4x3 stereograms of a tridimensional visualization of the Verhulst dynamics Tridimensional visualization of the Verhulst dynamics Tridimensional visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
    Tridimensional visualization of the Verhulst dynamics A set of 4x3 stereograms of a tridimensional visualization of the Verhulst dynamics Tridimensional visualization of the Verhulst dynamics A set of 4x3 stereograms of a tridimensional interpolation between a fractal structure and a cubic mesh A tridimensional interpolation between a fractal structure and a cubic mesh
    An interpolation between a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')and a tridimensional Verhulst dynamics Tridimensional visualization of the Verhulst dynamics Tridimensional visualization of the Verhulst dynamics Tridimensional visualization of the Verhulst dynamics Tridimensional visualization of the Verhulst dynamics
    A set of 4x3 stereograms of a tridimensional visualization of the Verhulst dynamics Tridimensional visualization of the Verhulst dynamics Mountains and fog Mountains and fog Anaglyph of a tridimensional display of the Mandebrot set
    Snowy day No Title 0135 A set of 4x3 stereograms of a tridimensional interpolation between a fractal structure and a cubic mesh A tridimensional interpolation between a fractal structure and a cubic mesh A tridimensional cubic mesh defined by means of three tridimensional fields
    A set of 4x3 stereograms of a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb') The monsters of the lily pond A set of 4x3 stereograms of a tridimensional fractal structure A set of 4x3 stereograms of a close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb') Jean-François Colonna
    Jean-François Colonna Jean-François Colonna Jean-François Colonna The Nympheas -a tribute to Claude Monet- No Title 0134
    Tridimensional self-portrait Tridimensional self-portrait Tridimensional self-portrait Tridimensional fractal structure Artistic visualization of the Bonan-Jeener's triple Klein bottle
    Artistic visualization of the Bonan-Jeener's triple Klein bottle Artistic visualization of the Bonan-Jeener's triple Klein bottle A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-'the children round' or 'the consciousness emerging from Mathematics'- A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-'the children round' or 'the consciousness emerging from Mathematics'- 2.pi rotation about the Y axis of a pseudo-quaternionic Julia set ('MandelBulb' like : a 'JuliaBulb')





    Copyright (c) Jean-François Colonna, 2000-2012.
    Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2000-2012.