Gallery :

The 200 Most Recent Pictures on Friday April 11 2014

[Galerie : Les 200 Images les plus récentes à la date du Vendredi 11 Avril 2014]




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 5288) on 04/11/2014 [Les 200 Images les plus récentes (parmi 5288) le 11/04/2014] :

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

    The Ptolemaic system with a small circle -the epicycle- whose center describes a larger circle -the deferend- centered on the Earth The Universe at the heart of a Calabi-Yau manifold No Title 0205 Where is the Multiverse ? Where is the Universe ?
    The 126.646 first digits -base 6- of the square root of 2 - displayed as an 'absolute' tridimensional random walk The 126.646 first digits -base 6- of 'pi' - displayed as an 'absolute' tridimensional random walk The 126.646 first digits -base 6- of 'phi' -the golden ratio- displayed as an 'absolute' tridimensional random walk The 126.922 first digits -base 6- of 'e' displayed as an 'absolute' tridimensional random walk A fractal double helix
    No Title 0204 The fire of life Tridimensional eroded medium No Title 0203 N-body problem integration (N=4)with one yellow star and two planets (the red one being very heavy and the blue one and its white satellite being light) -yellow body point of view-
    The 288.982 first digits of the 'prime' Champernowne number (=0.2 3 5 7 11 13 17 19 23 29...)displayed as an 'absolute' bidimensional random walk using the square root of the distance to the origin An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi' The 12.723 first digits -base 6- of 'pi' viewed as a huge integer number and displayed as an 'absolute' tridimensional random walk The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678 A Part of the DNA double helix
    The 10.000 first digits -base 10- of 'pi' displayed as an 'absolute' bidimensional random walk No Title 0202 An Archimedes spiral displaying 100000 numbers Botticelli anomaly on the Moon 2000 evenly distributed points on a sphere by means of the Fibonacci spiral
    No Title 0199 No Title 0198 No Title 0197 No Title 0196 The abelian -commutative- group defined on elliptic curves
    No Title 0195 Artistic variation on two quaternionic Julia/Mandelbrot sets -tridimensional cross-section- 'O temps tes pyramides' -a tribute to Jorge Luis Borges- No Title 0194 Fractal piano keyboard
    Various bidimensional fractal crosses Artistic variation on a tridimensional fractal cross -iteration 2- Artistic variation on a tridimensional fractal cross -iteration 4- Tridimensional fractal cross -iteration 5- The Simpson paradox
    The multiplicative persistence of the 65536 first integer numbers for the bases 2 -lower left- to 17 -upper right- No Title 0190 A 4-cube -an hypercube- No Title 0187 Light clouds
    Foggy Monument Valley No Title 0184 Island of the Dead -a Tribute to Arnold Böcklin- Anaglyph -blue=right, red=left- 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 -blue=right, red=left- 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 -the Goldbach glacier- for the even numbers from 6 to 1564
    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 -blue=right, red=left- of the quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
    Anaglyph -blue=right, red=left- of a tridimensional representation of a quadridimensional Calabi-Yau manifold Anaglyph -blue=right, red=left- of the Lorenz attractor Anaglyph -blue=right, red=left- of the tridimensional Hilbert Curve -iteration 3- Anaglyph -blue=right, red=left- of a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-'the children round' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section- Anaglyph -blue=right, red=left- of a close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
    Anaglyph -blue=right, red=left- of a tridimensional filamentous fractal structure Anaglyph -blue=right, red=left- of a tridimensional fractal structure -the space-time foam ?- Anaglyph -blue=right, red=left- 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





    Copyright (c) Jean-François Colonna, 2000-2014.
    Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2000-2014.