Gallery:

The 400 Most Recent Computed Pictures on Monday April 09 2018

[Galerie: Les 400 Images calculées les plus récentes à la date du Lundi 09 Avril 2018]




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 400 most recent computed pictures (among 7165) on 04/09/2018 [Les 400 Images calculées les plus récentes (parmi 7165) le 09/04/2018]:
  • (The first one -top left- is the most recent [la première -en haut et à gauche- est la plus récente])

    Fractal Self-Portrait -a tribute to René Magritte-
    1 - April 08 2018
    Fractal Self-Portrait -a tribute to René Magritte-
    2 - March 27 2018
    Fractal Self-Portrait -a tribute to René Magritte-
    3 - March 27 2018
    N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed with 2 different optimization options on the same computer (sensitivity to rounding-off errors)
    4 - March 22 2018
    N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed with 2 slightly different sets of initial conditions (sensitivity to initial conditions)
    5 - March 22 2018
    The Ptolemaic system with a small light grey circle -the epicycle- whose center describes a larger dark grey circle -the deferend- centered on the Earth -blue sphere-
    6 - March 09 2018
    Some of the most beautiful fractal pictures
    7 - February 15 2018
    From the infinitely small -bottom left- to the infinitely big -top right-
    8 - February 13 2018
    Light cloud dynamics -this sequence being periodical-
    9 - February 10 2018
    The construction process of the Menger sponge
    10 - February 11 2018
    The construction process of the Sierpinski carpet
    11 - February 11 2018
    The dynamics of the diffusion process in a bidimensional medium obtained by means of a random walk process
    12 - February 07 2018
    Bidimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
    13 - February 04 2018
    Bidimensional zoom in on the Mandelbrot set
    14 - January 31 2018
    The self-similarity of the von Koch curve displayed by means of a zoom in with a ratio that is equal to 3
    15 - January 29 2018
    An amazing cross-section inside an extended Menger sponge -iteration 5-
    16 - January 23 2018
    An extended Menger sponge -iteration 5-
    17 - January 17 2018
    A parallelepipedic extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
    18 - January 10 2018
    No Title 0272
    19 - January 10 2018
    A half-random extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
    20 - January 09 2018
    A half-random extended Menger sponge -iteration 5-
    21 - January 09 2018
    A half-random extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
    22 - January 08 2018
    A half-random extended Menger sponge -iteration 5-
    23 - January 08 2018
    A full-random extended Menger sponge -iteration 5-
    24 - January 08 2018
    An extended Menger sponge -iteration 5-
    25 - December 28 2017
    An extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
    26 - December 27 2017
    An extended Menger sponge -iteration 5-
    27 - December 27 2017
    An extended Menger sponge -iteration 5-
    28 - December 20 2017
    An extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
    29 - December 18 2017
    An extended Menger sponge -iteration 5-
    30 - December 18 2017
    A thin double spherical cross-section inside the Menger sponge -iteration 5-
    31 - December 14 2017
    Recursive subdivision of four Golden Rectangles -a tribute to Piet Mondrian-
    32 - December 13 2017
    Recursive subdivision of the Golden Rectangle by means of the Golden Ratio -phi-
    33 - December 12 2017
    Self-Portrait -a tribute to Pablo Picasso-
    34 - December 05 2017
    Self-Portrait -a tribute to Pablo Picasso-
    35 - December 05 2017
    An hexagonal tiling of the hyperbolic Poincaré disk -iteration 5- -a tribute to Piet Mondrian and Henri Poincaré-
    36 - November 22 2017
    A pseudo-periodical Penrose tiling of the Golden Decagon -a tribute to Piet Mondrian and Roger Penrose-
    37 - November 21 2017
    An amazing cross-section inside an extended Menger sponge -iteration 3-
    38 - November 18 2017
    An extended Menger sponge -iteration 3-
    39 - November 18 2017
    A double spherical cross-section inside the Menger sponge -iteration 5-
    40 - November 13 2017
    The Sierpinski carpet -iteration 3- with colors -a tribute to Karl Menger and Piet Mondrian-
    41 - November 13 2017
    Intertwining -a tribute to Piet Mondrian-
    42 - November 10 2017
    No Title 0271 -a tribute to Wassily Kandinsky-
    43 - November 10 2017
    No Title 0269 -a tribute to Piet Mondrian-
    44 - November 09 2017
    A pseudo-periodical Penrose tiling of the plane -a tribute to Piet Mondrian and Roger Penrose-
    45 - November 08 2017
    No Title 0267 -a tribute to Piet Mondrian-
    46 - November 08 2017
    No Title 0266 -a tribute to Wassily Kandinsky-
    47 - November 07 2017
    No Title 0265 -a tribute to Wassily Kandinsky-
    48 - November 01 2017
    Metropolis -a tribute to Fritz Lang-
    49 - November 01 2017
    Black Star -a tribute to George Lucas-
    50 - November 01 2017
    A spherical cross-section inside the Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
    51 - October 31 2017
    A spherical cross-section inside the Menger sponge -iteration 5-
    52 - October 30 2017
    The Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
    53 - October 30 2017
    An amazing generalized cross-section inside the Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
    54 - October 29 2017
    An amazing generalized cross-section inside the Menger sponge -iteration 5-
    55 - October 28 2017
    The four first power sets {P(E),P(P(E)),P(P(P(E))),P(P(P(P(E))))} of a one-element set E
    56 - October 23 2017
    The intersection of the Menger sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation-
    57 - October 23 2017
    The Menger sponge -iteration 5- with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
    58 - October 20 2017
    The Syracuse conjecture for U(0)={1,2,3,4,...,256} -monodimensional display-
    59 - September 18 2017
    A truncated quadrimensional Calabi-Yau manifold with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
    60 - September 09 2017
    Tridimensional representation of a quadridimensional Calabi-Yau manifold
    61 - September 09 2017
    Tridimensional fractal structure
    62 - August 18 2017
    Tridimensional fractal structure
    63 - July 28 2017
    Tridimensional fractal structure
    64 - July 27 2017
    Tridimensional fractal structure
    65 - July 25 2017
    No Title 0264
    66 - July 13 2017
    A tridimensional cubic mesh with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
    67 - July 05 2017
    Tridimensional display of a pseudo-periodical Penrose tiling of the plane with a fractal noise
    68 - June 26 2017
    The Penrose city
    69 - June 19 2017
    A pseudo-periodical Penrose tiling of the plane
    70 - June 18 2017
    Close-up on a foggy pseudo-quaternionic Mandelbrot set with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
    71 - June 17 2017
    Close-up on a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
    72 - June 10 2017
    A 'triple stack' of two pseudo-periodical Penrose tilings of the plane
    73 - June 06 2017
    A tridimensionally distorded pseudo-periodical Penrose tiling of the plane
    74 - June 02 2017
    A tridimensionally distorded pseudo-periodical Penrose tiling of the plane
    75 - June 01 2017
    A pseudo-periodical Penrose tiling of the plane
    76 - May 31 2017
    A pseudo-periodical Penrose tiling of the plane
    77 - May 30 2017
    Close-up on a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
    78 - May 24 2017
    Close-up on a foggy pseudo-quaternionic Mandelbrot set with a (1/O)^2 conformal transformation in the Octonionic space -tridimensional cross-section-
    79 - May 16 2017
    Close-up on a foggy pseudo-quaternionic Mandelbrot set with a (1/O)^1 conformal transformation in the Octonionic space -tridimensional cross-section-
    80 - May 13 2017
    Close-up on a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
    81 - May 10 2017
    Wavelet transform of a bidimensional fractal field
    82 - April 25 2017
    The end of the World
    83 - April 13 2017
    Close-up on a foggy pseudo-quaternionic Mandelbrot set with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
    84 - April 12 2017
    Close-up on a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
    85 - April 12 2017
    A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
    86 - March 31 2017
    A foggy pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
    87 - March 30 2017
    A truncated tridimensional torus with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
    88 - March 27 2017
    A truncated tridimensional torus with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
    89 - March 26 2017
    No Title 0263
    90 - March 24 2017
    A truncated tridimensional sphere with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
    91 - March 24 2017
    No Title 0262
    92 - March 23 2017
    A truncated tridimensional sphere with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
    93 - March 23 2017
    A truncated tridimensional sphere with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
    94 - March 23 2017
    A truncated tridimensional sphere with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
    95 - March 23 2017
    A tridimensional cubic mesh with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
    96 - March 17 2017
    A tridimensional cubic mesh with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
    97 - March 16 2017
    No Title 0261
    98 - March 13 2017
    An helix on a 'tridimensional epicycloïdal' pseudo-torus
    99 - March 10 2017
    An helix on a 'tridimensional epicycloïdal' pseudo-torus
    100 - March 08 2017
    An helix on a torus
    101 - March 03 2017
    No Title 0260
    102 - February 20 2017
    An helix on a 'crumpled' sphere
    103 - February 18 2017
    Two helices on the Bonan-Jeener's triple Klein bottle
    104 - February 09 2017
    Tridimensional accumulation of 512 strongly correlated tridimensional brownian motions -50000 time steps-
    105 - February 06 2017
    Tridimensional accumulation of 512 correlated tridimensional brownian motions -50000 time steps-
    106 - February 05 2017
    No Title 0259
    107 - February 05 2017
    Bidimensional brownian motion -the colors used (magenta,red,yellow,green,cyan)are an increasing function of the time-
    108 - January 20 2017
    Bidimensional brownian motion -the colors used (magenta,red,yellow,green,cyan)are an increasing function of the time-
    109 - January 20 2017
    No Title 0257
    110 - January 13 2017
    No Title 0256
    111 - January 12 2017
    An helix on the Klein bottle
    112 - January 12 2017
    An helix on a sphere
    113 - January 11 2017
    A 'tridimensional epicycloïdal' pseudo-torus
    114 - January 10 2017
    Arrival -a tribute thanks to a pseudo-quaternionic Julia set-
    115 - January 01 2017
    A foggy pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0) with a rotation about the Y axis -tridimensional cross-section-
    116 - January 01 2017
    The 65.536 first digits -base 3- of 'pi' -the first 'digit' is the top left red square-
    117 - December 31 2016
    A 'tridimensional epicycloïdal' pseudo-torus
    118 - December 30 2016
    No Title 0255
    119 - December 29 2016
    A quoi servent les Mathématiques?
    120 - May 13 2016

    New Book
    A 'thick' helix
    121 - December 28 2016
    A 'bidimensional epicycloïdal' pseudo-torus
    122 - December 15 2016
    A 'bidimensional epicycloïdal' pseudo-torus
    123 - December 12 2016
    A two-hole pseudo-torus
    124 - December 08 2016
    No Title 0253
    125 - December 01 2016
    An octogonal tiling of the hyperbolic Poincaré disk -iteration 5-
    126 - November 29 2016
    Tridimensional accumulation of 512 correlated bidimensional brownian motions -50000 time steps-
    127 - November 29 2016
    Tridimensional accumulation of 512 correlated bidimensional brownian motions -1000 time steps-
    128 - November 28 2016
    Tridimensional accumulation of 512 correlated bidimensional brownian motions -1000 time steps-
    129 - November 27 2016
    A binary tree with 4096 leaves
    130 - November 24 2016
    Bidimensional brownian motion -the colors used (magenta,red,yellow,green,cyan)are an increasing function of the time- and its 'external border' -white-
    131 - November 21 2016
    Tridimensional display of two intricated random labyrinths -the wide one and the narrow one-
    132 - November 20 2016
    Two intricated random labyrinths -the wide one and the narrow one-
    133 - November 20 2016
    An hexagonal tiling of the hyperbolic Poincaré disk -iteration 5-
    134 - May 25 2012
    Artistic view of a pseudo-periodical Penrose tiling of the Golden Decagon
    135 - November 10 2016
    Artistic view of a pseudo-periodical Penrose tiling of the Golden Decagon
    136 - November 07 2016
    Tridimensional visualization of a pseudo-periodical Penrose tiling of the Golden Decagon
    137 - November 06 2016
    Some 'natural' patterns inside a fractal texture
    138 - November 05 2016
    A pseudo-periodical Penrose tiling of the Golden Decagon
    139 - December 02 2012
    Paradoxal structure based on the geometry of the Boy surface
    140 - November 02 2016
    Periodical impossible structure
    141 - September 14 1974
    A pseudo-periodical Penrose tiling of the plane
    142 - May 08 2012
    The 146.363 first digits -base 6- of the Champernowne number (=0.1 2 3 4 5 6 7 8 9 10 11 12...)- displayed as an 'absolute' tridimensional random walk
    143 - October 22 2016
    No Title 0252
    144 - October 20 2016
    The Goldbach conjecture
    145 - October 20 2016
    Beyond Pluto
    146 - September 20 2016
    The Mandelbrot set with tridimensional display of the arguments and computed with an increasing exponent, from 1 -bottom left- to 16 -top right-
    147 - September 13 2016
    The double reflection -green- of a small regular tetrahedron -center red-
    148 - August 07 2016
    The 'green' reflection of a red tetrahedron obtained by a 'blue' symmetry of each red vertex about the opposite red face
    149 - July 26 2016
    The 'green' reflection of a red triangle obtained by a 'blue' symmetry of each red vertex about the opposite red side
    150 - July 22 2016
    No Title 0250
    151 - July 18 2016
    Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
    152 - July 17 2016
    Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
    153 - July 15 2016
    No Title 0248
    154 - July 14 2016
    The RGB cube and the additive synthesis of colors
    155 - July 13 2016
    Artistic view of a quadridimensional Calabi-Yau manifold
    156 - June 29 2016
    Artistic view of a quadridimensional Calabi-Yau manifold
    157 - June 29 2016
    Artistic view of a quadridimensional Calabi-Yau manifold
    158 - June 22 2016
    Bidimensional rectangular billiard with an attractive central obstacle and a flow of 'living' particles
    159 - June 10 2016
    No Title 0247
    160 - June 02 2016
    A random tridimensional binary tree
    161 - June 01 2016
    No Title 0246
    162 - May 19 2016
    A ternary tree
    163 - March 25 2016
    A ternary tree
    164 - March 25 2016
    Particle convection and diffusion inside a tridimensional binary tree model of the human pulmonary acinus without membrane permeability
    165 - May 06 2016
    Particle convection and diffusion inside a tridimensional binary tree model of the human pulmonary acinus with membrane permeability
    166 - May 06 2016
    The golden tree
    167 - May 06 2016
    A binary tree with 256 leaves
    168 - February 19 2016
    A binary tree with 256 leaves
    169 - February 10 2016
    Bidimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity -Jean-François Colonna fractal aggregate-
    170 - May 02 2016
    Gravitation and space-time curvature
    171 - April 13 2016
    A two sheet hyperboloid of revolution
    172 - April 01 2016
    A one sheet hyperboloid of revolution -negative curvature-
    173 - March 26 2016
    No Title 0244
    174 - March 25 2016
    Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 1.047.312 galaxies)obtained by means of a non deterministic fractal process and with a gigantic hidden Calabi-Yau structure
    175 - March 23 2016
    Artistic view of a fractal Multiverse
    176 - March 21 2016
    No Title 0243
    177 - March 17 2016
    No Title 0242
    178 - March 17 2016
    No Title 0241
    179 - March 16 2016
    Tridimensional localization of a point P its distances to the four vertices of a tetrahedron ABCD being known
    180 - March 16 2016
    No Title 0240
    181 - March 17 2016
    Bidimensional localization of a point P its distances to the three vertices of a triangle ABC being known and the four points being coplanar
    182 - March 15 2016
    The golden tree
    183 - March 07 2016
    No Title 0239
    184 - February 23 2016
    Artistic view of a binary tree with 256 leaves
    185 - February 10 2016
    Artistic view of a sphere
    186 - February 06 2016
    Artistic view of a 3-foil torus knot
    187 - February 06 2016
    The abelian -commutative- group defined on elliptic curves
    188 - September 18 2013
    Mysterious structures in the desert
    189 - January 12 2016
    Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,...)obtained by means of a non deterministic fractal process
    190 - February 06 2016
    Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 637.312 galaxies)obtained by means of a non deterministic fractal process
    191 - February 05 2016
    La diagonale du Flou
    192 - December 27 2015
    Mountains and clouds
    193 - December 23 2015
    The 1.000 first digits -base 10- of 'pi' displayed on an helix -good point of view-
    194 - December 17 2015
    Tridimensional Hilbert Curve -iterations 1 to 3-
    195 - December 15 2015
    Bidimensional Hilbert Curve -iterations 1 to 5-
    196 - December 15 2015
    Tridimensional view of the first four iterations of the construction of the von Koch snowflake
    197 - December 08 2015
    The first four iterations of the construction of the von Koch snowflake
    198 - December 05 2015
    The Mathematics are the key of the Multiverse
    199 - December 02 2015
    The tree of life -a Tribute to the victims of the attacks in November 2015, Paris-
    200 - November 22 2015
    Tridimensional visualization of the Verhulst dynamics with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
    201 - October 26 2015
    Tridimensional visualization of the Verhulst dynamics with a tridimensional non linear transformation of the coordinates
    202 - October 21 2015
    Tridimensional visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
    203 - October 15 2015
    Tridimensional visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
    204 - October 14 2015
    Tridimensional visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
    205 - October 06 2015
    Tridimensional visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
    206 - October 03 2015
    Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
    207 - October 15 2015
    Tridimensional visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
    208 - October 02 2015
    Tridimensional visualization of the Verhulst dynamics -'The Flying Dutchman', a tribute to Richard Wagner-
    209 - October 03 2015
    Tridimensional visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
    210 - October 03 2015
    Heterogeneous -tridimensional anti-gaussian field- random non linear meshing of a cube
    211 - October 01 2015
    Heterogeneous -tridimensional anti-gaussian field- random non linear meshing of a cube
    212 - September 29 2015
    Heterogeneous -tridimensional gaussian field- random non linear meshing of a cube
    213 - September 29 2015
    Heterogeneous -tridimensional fractal field- random non linear meshing of a cube
    214 - September 29 2015
    No Title 0237
    215 - August 26 2015
    Heterogeneous -tridimensional gaussian field- random meshing of a cube
    216 - August 26 2015
    Heterogeneous -tridimensional anti-gaussian field- random meshing of a cube
    217 - August 26 2015
    Heterogeneous -tridimensional fractal field- random meshing of a cube
    218 - August 11 2015
    Homogeneous random meshing of a cube
    219 - August 11 2015
    Causal set obtained by means of an homogeneous random meshing of a cube
    220 - August 10 2015
    Heterogeneous meshing of a fractal surface
    221 - August 04 2015
    Ile de Science -a tribute to Pierre Vasseur-
    222 - September 14 1998
    Homogeneous/heterogeneous meshing of a square
    223 - August 04 2015
    Heterogeneous meshing of a square
    224 - August 04 2015
    A 'crumpled' cylinder defined by means of three bidimensional fields
    225 - June 30 2015
    Artistic view of the Schaeffer bijection
    226 - June 29 2015
    'Regular' quadrangulation of the volume of a 'crumpled' sphere -18x18x8-
    227 - June 11 2015
    Regular quadrangulation of the volume of a torus -18x18x18-
    228 - June 03 2015
    Random quadrangulation of the volume of a sphere -18x18x18-
    229 - June 01 2015
    Random quadrangulation of a cube -8x8x8-
    230 - May 30 2015
    Intertwining
    231 - May 22 2015
    The rain (or the snow)is falling
    232 - May 18 2015
    Three ghost squares
    233 - May 16 2015
    A tribute to Sandro Botticelli
    234 - May 15 2015
    No Title 0235
    235 - May 13 2015
    A fractal vegetal structure -'the Knowledge Tree'-
    236 - April 30 2015
    A fractal vegetal structure
    237 - April 28 2015
    Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
    238 - April 27 2015
    No Title 0234
    239 - April 22 2015
    No Title 0232
    240 - April 19 2015
    Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold -a Tribute to José Hernández-
    241 - April 21 2015
    The sum -top, white- of 96 cosine lines -the 12 first, colors- with the 25 first prime numbers -white vertical lines-
    242 - April 09 2015
    The Eratosthene sieve displaying the integer numbers from 1 to 128
    243 - April 02 2015
    The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
    244 - April 01 2015
    No Title 0231 -a tribute to Philippe Druillet-
    245 - March 30 2015
    An amazing cross-section inside the Menger sponge -iteration 5- with a tridimensional non linear transformation
    246 - March 28 2015
    The Menger sponge -iteration 5- with a tridimensional non linear transformation
    247 - March 29 2015
    The Sierpinski carpet -iteration 5-
    248 - March 25 2015
    The eroded complement of the Menger sponge -iteration 2-
    249 - March 25 2015
    The eroded Menger sponge -iteration 3-
    250 - March 23 2015
    No Title 0229
    251 - March 12 2015
    Tridimensional fractal structure with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
    252 - March 12 2015
    A tridimensional fractal structure
    253 - March 11 2015
    A pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) with a locally variable exponent that is equal to 4, 5 or 6 and with a rotation about the X axis -tridimensional cross-section-
    254 - March 06 2015
    The terraforming of the Moon
    255 - March 19 2015
    Tridimensional brownian motion
    256 - February 15 2015
    The third 'power' of a torus defined by means of three bidimensional fields
    257 - February 09 2015
    No Title 0228
    258 - February 06 2015
    No Title 0226
    259 - January 29 2015
    A linear mixing of a sphere and of a torus defined by means of three bidimensional fields
    260 - January 21 2015
    No Title 0224
    261 - January 17 2015
    The personal liberty
    262 - January 17 2015
    Visualization of the 65536 first integer numbers with at least one '0' -black points- for the bases 2 -lower left- to 17 -upper right-
    263 - January 13 2015
    Hell on Earth -a Tribute to the seventeen victims of the attacks in January 2015, Paris-
    264 - January 10 2015
    No Title 0223
    265 - January 06 2015
    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) with a rotation about the X axis and with a tridimensional non linear transformation in the pseudo-octonionic space -tridimensional cross-section-
    266 - December 29 2014
    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) with a rotation about the X axis and with a tridimensional non linear transformation in the pseudo-octonionic space -tridimensional cross-section-
    267 - December 28 2014
    A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) with a rotation about the X axis and with a (4xO+1)/(1xO-1) conformal transformation in the pseudo-octonionic space-tridimensional cross-section-
    268 - December 23 2014
    A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) with a rotation about the X axis -tridimensional cross-section-
    269 - December 21 2014
    A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) with a rotation about the X axis -tridimensional cross-section-
    270 - December 20 2014
    Artistic display of a Sudoku grid
    271 - October 01 2014
    An amazing cross-section inside the Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
    272 - September 28 2014
    An amazing cross-section inside the Menger sponge -iteration 5- with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
    273 - September 28 2014
    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-
    274 - December 10 2014
    No Title 0222
    275 - December 04 2014
    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) with a rotation about the X axis -tridimensional cross-section-
    276 - December 03 2014
    Pi/2 rotation about the X axis of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')-tridimensional cross-section-
    277 - November 30 2014
    A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) with a rotation about the X axis -tridimensional cross-section-
    278 - December 01 2014
    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-
    279 - December 02 2014
    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-
    280 - December 02 2014
    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-
    281 - December 02 2014
    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-
    282 - November 23 2014
    Intertwining
    283 - November 21 2014
    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-
    284 - December 02 2014
    Mountains and fog
    285 - November 10 2014
    No Title 0220
    286 - November 11 2014
    A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-'children's corner' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
    287 - October 26 2014
    A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
    288 - October 23 2014
    A pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a (4xO+1)/(1xO-1) conformal transformation in the pseudo-octonionic space -tridimensional cross-section-
    289 - October 22 2014
    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-
    290 - October 21 2014
    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-
    291 - October 20 2014
    A pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a (4xO+1)/(1xO-1) conformal transformation in the pseudo-octonionic space -tridimensional cross-section-
    292 - October 19 2014
    An amazing cross-section inside the complement of the Menger sponge -iteration 5-
    293 - October 08 2014
    The complement of the Menger sponge -iteration 5-
    294 - October 08 2014
    No Title 0217
    295 - October 06 2014
    Tridimensional fractal structure with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
    296 - September 26 2014
    An amazing cross-section inside the Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
    297 - September 28 2014
    An amazing cross-section inside the Menger sponge -iteration 5- with a OxO conformal transformation in the Octonionic space -tridimensional cross-section-
    298 - September 28 2014
    An amazing cross-section inside the Menger sponge -iteration 5- with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
    299 - September 28 2014
    Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
    300 - September 25 2014
    An amazing cross-section inside the complement of the Menger sponge -iteration 2-
    301 - September 18 2014
    The complement of the Menger sponge -iteration 2-
    302 - September 17 2014
    An amazing cross-section inside the Menger sponge -iteration 5-
    303 - September 22 2014
    The Menger sponge -iteration 5-
    304 - September 22 2014
    The Sierpinski carpet -iteration 5-
    305 - September 10 2014
    No Title 0216
    306 - September 05 2014
    Tridimensional fractal structure
    307 - September 04 2014
    Tridimensional fractal structure
    308 - August 28 2014
    Tridimensional fractal structure
    309 - August 21 2014
    A fractal pyramidal Menger sponge computed by means of an 'Iterated Function System' -IFS-
    310 - August 13 2014
    A fractal pyramidal Menger sponge computed by means of an 'Iterated Function System' -IFS-
    311 - August 12 2014
    No Title 0213
    312 - August 11 2014
    The 64 first lines of the Pascal's Triangle
    313 - July 31 2014
    Monument Valley at sunrise
    314 - June 30 2014
    Artistic view of Monument Valley at sunrise with the Great Bear
    315 - June 30 2014
    Monument Valley at sunrise
    316 - June 27 2014
    Mountains and fog
    317 - June 05 2014
    No Title 0208
    318 - June 03 2014
    No Title 0207
    319 - May 26 2014
    No Title 0206
    320 - April 30 2014
    Artictic view of the Ptolemaic system
    321 - April 30 2014
    The Ptolemaic system with a small light grey circle -the epicycle- whose center describes a larger dark grey circle -the deferend- centered on the Earth -blue sphere-
    322 - April 11 2014
    The Universe at the heart of a Calabi-Yau manifold
    323 - March 18 2014
    No Title 0205
    324 - March 15 2014
    Where is the Multiverse?
    325 - March 14 2014
    Where is the Universe?
    326 - March 08 2014
    The 126.646 first digits -base 6- of the square root of 2 - displayed as an 'absolute' tridimensional random walk
    327 - February 06 2014
    The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
    328 - February 06 2014
    The 126.646 first digits -base 6- of 'phi' -the golden ratio- displayed as an 'absolute' tridimensional random walk
    329 - February 06 2014
    The 126.922 first digits -base 6- of 'e' displayed as an 'absolute' tridimensional random walk
    330 - February 07 2014
    A fractal double helix
    331 - February 03 2014
    No Title 0204
    332 - January 30 2014
    The fire of life
    333 - January 30 2014
    Tridimensional eroded medium
    334 - January 22 2014
    No Title 0203
    335 - January 01 2014
    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-
    336 - December 27 2013
    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
    337 - December 26 2013
    An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
    338 - December 23 2013
    The 12.723 first digits -base 6- of 'pi' viewed as a huge integer number and displayed as an 'absolute' tridimensional random walk
    339 - December 07 2013
    The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
    340 - December 10 2013
    A Part of the DNA double helix
    341 - November 20 2013
    The 10.000 first digits -base 10- of 'pi' displayed as an 'absolute' bidimensional random walk
    342 - November 13 2013
    No Title 0202 -a tribute to Henri Matisse-
    343 - November 02 2013
    An Archimedes spiral displaying 100000 numbers
    344 - November 02 2013
    Botticelli anomaly on the Moon
    345 - November 03 2013
    2000 evenly distributed points on a sphere by means of the Fibonacci spiral
    346 - October 22 2013
    No Title 0199
    347 - October 09 2013
    No Title 0198
    348 - October 09 2013
    No Title 0197
    349 - October 08 2013
    No Title 0196
    350 - September 17 2013
    The abelian -commutative- group defined on elliptic curves
    351 - September 18 2013
    No Title 0195
    352 - August 28 2013
    Artistic variation on two quaternionic Julia/Mandelbrot sets -tridimensional cross-section-
    353 - August 25 2013
    'O temps tes pyramides' -a tribute to Jorge Luis Borges-
    354 - July 21 2013
    No Title 0194
    355 - July 17 2013
    Fractal piano keyboard
    356 - July 05 2013
    Various bidimensional fractal crosses
    357 - July 02 2013
    Artistic variation on a tridimensional fractal cross -iteration 2-
    358 - June 29 2013
    Artistic variation on a tridimensional fractal cross -iteration 4-
    359 - June 26 2013
    Tridimensional fractal cross -iteration 5-
    360 - June 25 2013
    The Simpson paradox
    361 - April 18 2013
    The multiplicative persistence of the 65536 first integer numbers for the bases 2 -lower left- to 17 -upper right-
    362 - May 31 2013
    No Title 0190
    363 - May 30 2013
    A 4-cube -an hypercube-
    364 - May 24 2013
    No Title 0187
    365 - May 20 2013
    Light clouds
    366 - May 10 2013
    Foggy Monument Valley
    367 - May 10 2013
    No Title 0184
    368 - April 29 2013
    Isle of the Dead -a Tribute to Arnold Böcklin-
    369 - April 29 2013
    Anaglyph -blue=right, red=left- of a fractal-fractal tree
    370 - April 24 2013
    A set of 4x3 stereograms of a fractal hypercube
    371 - April 24 2013
    No Title 0180
    372 - April 22 2013
    Fractal Notre-Dame de la Garde, Marseilles
    373 - April 18 2013
    Fractal Notre-Dame de la Garde, Marseilles
    374 - April 18 2013
    A fractal-fractal tree
    375 - April 03 2013
    A perfect bidimensional fractal tree and the self-similarity
    376 - April 03 2013
    Anaglyph -blue=right, red=left- of an hypercube
    377 - March 29 2013
    A tridimensionally distorded -by means of a fractal bidimensional height field- pseudo-periodical Penrose tiling of the Golden Decagon
    378 - March 29 2013
    A fractal pseudo-periodical Penrose tiling
    379 - March 22 2013
    A demonstration of the Pythagoras' theorem
    380 - March 16 2013
    A fractal hypercube
    381 - March 08 2013
    A fractal Klein bottle
    382 - March 07 2013
    A fractal Möbius strip
    383 - March 07 2013
    A fractal torus
    384 - March 06 2013
    A fractal sphere
    385 - March 06 2013
    Three hexagons and the twenty-eight first strictly positive integer numbers -nine of them being prime numbers-
    386 - February 28 2013
    Tridimensional visualization of the Mandelbrot set with mapping of the arguments -the Mont Saint Michel-
    387 - February 20 2013
    Tridimensional display of the inflationary Universe
    388 - February 21 2013
    A tridimensional cubic mesh defined by means of three tridimensional fields and transformed using the tridimensional life game
    389 - February 19 2013
    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-
    390 - February 07 2013
    Fractal tridimensional cubic mesh
    391 - February 06 2013
    The Syracuse conjecture for U(0)={5,6,7,8,...,20} -polar coordinates display-
    392 - January 24 2013
    The self-similarity of the von Koch curve displayed by means of a zoom in with a ratio that is equal to 3
    393 - January 19 2013
    The Syracuse conjecture for U(0)={5,6,7,8,...,20} -tridimensional display-
    394 - January 18 2013
    The Syracuse conjecture for U(0)={1,2,3,4,...,128} -monodimensional display-
    395 - January 14 2013
    The Goldbach conjecture -the Goldbach glacier- for the even numbers from 6 to 1564
    396 - January 11 2013
    An interpolation between a 'double sphere' and a cylinder
    397 - January 11 2013
    Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')for sixteen different lightings -tridimensional cross-section-
    398 - January 03 2013
    The tridimensional Ising Model with 2-state spins, temperature=0.2, random initial conditions and an increasing number of iterations -from 100 to 4000-
    399 - December 28 2012
    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-
    400 - December 26 2012





    Copyright (c) Jean-François Colonna, 2000-2018.
    Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2000-2018.