Gallery (501 different pictures):

The 500 Most Recent Pictures on display on Friday April 19 2024

[Galerie (501 images différentes) : Les 500 Images les plus récemment mises en exposition à la date du Vendredi 19 Avril 2024]




Tridimensional representation of a quadridimensional Calabi-Yau manifold

Jean-François COLONNA
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www.lactamme.polytechnique.fr

CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, École polytechnique, Institut Polytechnique de Paris, CNRS, France

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  • The 500 most recent pictures on display (among 9871) on 04/19/2024 [Les 500 Images mises en exposition le plus récemment (parmi 9871) le 19/04/2024]:
  • (The first one -top left- is the most recent on display [La première -en haut et à gauche- est la plus récemment mise en exposition])

    The DNA of Mathematics -the 60 first digits of 'pi' and 'e'-
    1 - April 17 2024
    A double spherical cross-section inside a 3x3x3 Menger Sponge -iteration 4- displaying the number 3.141
    2 - April 16 2024
    The 'pi' island
    3 - April 15 2024
    A 3x3x3 Menger Sponge -iteration 6- displaying the number 3.14159
    4 - April 14 2024
    A 3x3x3 Menger Sponge -iteration 6- displaying the number 6.85840 (=9.99999-3.14159)
    5 - April 12 2024
    A 3x3x3 Menger Sponge -iteration 4- using the 9 first prime numbers and displaying the number 6.858 (=9.999-3.141)
    6 - April 11 2024
    A 5x5 Sierpinski Carpet -iteration 4- using the 9 first prime numbers and displaying the number 3.141
    7 - April 09 2024
    Tridimensional display of a spiral displaying 'pi' with 4000 digits -base 10-
    8 - April 05 2024
    Tridimensional display of a spiral displaying 'pi' with 2000 digits -base 10-
    9 - March 25 2024
    Tridimensional artistic view of 'pi'
    10 - March 19 2024
    Tridimensional display of an Archimedes spiral displaying 'pi' with 1000 digits -base 10-
    11 - March 07 2024
    display of 'pi' with 1.000 digits -base 10- on an helix -good point of view-
    12 - December 17 2015
    display of 'pi' with 100 digits {3.14...} on an helix -grey-
    13 - February 24 2024
    Artistic views of the 100.000 first digits -base 10- of 'pi'
    14 - February 28 2024
    display of 'pi' with 128.508 digits -base 6- as an 'absolute' tridimensional random walk
    15 - March 03 2024
    Tridimensional display of a Fractal Square -iteration 1 to 3-
    16 - February 20 2024
    Untitled 0625
    17 - February 20 2024
    The Spectre
    18 - February 02 2024
    The genesis of the 'EinStein' aperiodic 'Spectre' tile -top right-
    19 - January 29 2024
    Untitled 0624
    20 - January 09 2024
    The level-1 cluster made of 9 'Spectre' tiles including a 'Mystic' (red and dark grey lines)with display of all the key-points making quadrilaterals (8 blue small and a magenta big one)
    21 - January 05 2024
    Untitled 0623
    22 - December 20 2023
    Merry Christmas 2023: A Fractal Cube -iteration 2-
    23 - December 20 2023
    Untitled 0622
    24 - December 16 2023
    Untitled 0621
    25 - December 13 2023
    A Tribute to Maria Callas
    26 - December 12 2023
    The 21 connected components of a Fractal Cube -iteration 1-
    27 - December 05 2023
    The 94 connected components of a Fractal Square -iteration 4-
    28 - November 24 2023
    Tridimensional display of a Fractal Square -iteration 1 to 3-
    29 - November 27 2023
    Tridimensional display of the Mandelbrot Set obtained by means of a bidimensional Fractal Square -iteration 1 to 3-
    30 - November 26 2023
    Tridimensional display of a Fractal Square -iteration 1 to 5-
    31 - November 25 2023
    Tridimensional display of a Fractal Square -iteration 1 to 5-
    32 - November 25 2023
    Tridimensional display of a Fractal Square -iteration 1 to 5-
    33 - November 25 2023
    A Fractal Cube -iteration 2-
    34 - November 13 2023
    A Fractal Cube -iteration 2-
    35 - November 09 2023
    A Fractal Cube -iteration 2-
    36 - November 07 2023
    A 'crumpled' close-up of the 'EinStein' aperiodic 'Spectre' tiling
    37 - October 27 2023
    Untitled 0619
    38 - October 27 2023
    An Impossible Peace
    39 - October 22 2023
    An Impossible Peace
    40 - October 19 2023
    The Mystic Island based on the level 3 cluster made of 8 'Spectre' level 2 clusters
    41 - October 09 2023
    The level 3 cluster made of 8 'Spectre' level 2 clusters with display of all the key-points making quadrilaterals (8 small and a big one)
    42 - October 05 2023
    The level 2 cluster made of 8 'Spectre' level 1 clusters with display of all the key-points making quadrilaterals (8 small and a big one)
    43 - September 25 2023
    The level-1 cluster made of 9 'Spectre' tiles with display of all the key-points making quadrilaterals (8 red small and a green big one)
    44 - September 09 2023
    The 'Mystic' made of two 'EinStein' aperiodic 'Spectre' tiles
    45 - September 02 2023
    Untitled 0618
    46 - September 01 2023
    Tridimensional display of the 'EinStein' aperiodic 'Spectre' tiling
    47 - August 22 2023
    A random tiling of a square domain using dominoes (1x2 rectangles)-line after line- with display of clusters of horizontal and vertical rectangles using the 4-connexity
    48 - August 13 2023
    A random tiling of a square domain using dominoes (1x2 rectangles)-line after line- with display of clusters of vertical rectangles using the 4-connexity
    49 - August 11 2023
    A random tiling of a square domain using dominoes (1x2 rectangles)-line after line-
    50 - August 07 2023
    A close-up of the 'EinStein' aperiodic 'Spectre' tiling
    51 - August 21 2023
    A Ball described by means of a Tridimensional Hilbert-like Curve -iteration 4-
    52 - July 03 2023
    A Ball described by means of an 'open' 3-foil torus knot -iteration 4-
    53 - June 29 2023
    A Ball described by means of a Tridimensional Hilbert Curve -iteration 4-
    54 - June 29 2023
    The Klein bottle described by means of a Bidimensional non continous Hilbert-like Curve -iteration 5-
    55 - June 24 2023
    Untitled 0617
    56 - June 21 2023
    The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 5-
    57 - June 20 2023
    A Ball described by means of an hypercube -iteration 4-
    58 - May 30 2023
    The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 7-
    59 - May 24 2023
    A Tridimensional Hilbert-like Curve defined with {X2(...),Y2(...),Z2(...)} -iteration 2-
    60 - May 23 2023
    The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 5-
    61 - May 19 2023
    The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 5-
    62 - May 19 2023
    Some elementary symbols used to built labyrinths -with a big black ghost structure at pi/4-
    63 - November 16 2016
    The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 6-
    64 - April 28 2023
    A 'fractal plane' with overhangings described by means of a Bidimensional Hilbert-like Curve -iteration 6-
    65 - April 28 2023
    A Bidimensional Hilbert-like Curve defined with {X1(...),Y1(...)} related to the Mandelbrot set border -iteration 5-
    66 - April 28 2023
    A 'fractal plane' with overhangings described by means of a Bidimensional Hilbert Curve -iteration 7-
    67 - April 21 2023
    A 'crumpled' sphere described by means of a Bidimensional Hilbert Curve -iteration 7-
    68 - April 19 2023
    Untitled 0616
    69 - April 18 2023
    Untitled 0615
    70 - April 12 2023
    Untitled 0614
    71 - April 07 2023
    Tridimensional representation of a quadridimensional Calabi-Yau manifold described by means of 5x5 Bidimensional Hilbert Curves -iteration 5-
    72 - April 04 2023
    Untitled 0613
    73 - March 15 2023
    Untitled 0612
    74 - March 14 2023
    The Piet Mondrian quadridimensional Calabi-Yau manifold -2D, 3D or 4D?-
    75 - March 10 2023
    The Piet Mondrian Hypercube -2D, 3D or 4D?-
    76 - March 09 2023
    Tridimensional representation of an hexadecadimensional Calabi-Yau manifold with pseudo-random projection
    77 - March 02 2023
    Untitled 0611
    78 - February 28 2023
    5x5 various bidimensional closed self-avoiding brownian motions on a tridimensional representation of a quadridimensional Calabi-Yau manifold
    79 - February 17 2023
    5x5 identical bidimensional closed self-avoiding brownian motions on a tridimensional representation of a quadridimensional Calabi-Yau manifold
    80 - February 16 2023
    Untitled 0610
    81 - February 14 2023
    Untitled 0609
    82 - February 14 2023
    Tridimensional representation of an octodimensional Calabi-Yau manifold with pseudo-random projection
    83 - February 13 2023
    Tridimensional representation of an octodimensional Calabi-Yau manifold with pseudo-random projection
    84 - February 11 2023
    Tridimensional representation of a quadridimensional Calabi-Yau manifold described by means of 5x5 Bidimensional Hilbert Curves -iteration 5-
    85 - February 02 2023
    A parallelepipedic Torus described by means of an 'open' 3-foil torus knot -iteration 4-
    86 - January 31 2023
    A Jeener-Möbius Tridimensional manifold described by means of an 'open' 3-foil torus knot -iteration 4-
    87 - January 31 2023
    A Jeener-Möbius Tridimensional manifold described by means of a Tridimensional Hilbert Curve -iteration 4-
    88 - January 23 2023
    A 'square' spiral on the Boy surface
    89 - January 21 2023
    A 'square' spiral on the Bonan-Jeener-Klein triple bottle
    90 - January 21 2023
    A 'square' spiral on the Klein bottle
    91 - January 21 2023
    Untitled 0608
    92 - January 20 2023
    Bidimensional closed pseudo-self-avoiding brownian motion on the Boy surface
    93 - January 20 2023
    Bidimensional closed pseudo-self-avoiding brownian motion on the Bonan-Jeener-Klein triple bottle
    94 - January 20 2023
    Bidimensional closed self-avoiding brownian motion on a torus
    95 - January 20 2023
    Bidimensional closed pseudo-self-avoiding brownian motion on the Klein bottle
    96 - January 20 2023
    Bidimensional closed self-avoiding brownian motion on a sphere
    97 - January 17 2023
    Bidimensional brownian motion on the Klein bottle
    98 - January 15 2023
    Bidimensional brownian motion on a sphere
    99 - January 15 2023
    Untitled 0606
    100 - January 11 2023
    Untitled 0607
    101 - January 11 2023
    The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 6-
    102 - January 10 2023
    The Klein bottle described by means of a Bidimensional Hilbert Curve -iteration 7-
    103 - January 10 2023
    The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 6-
    104 - January 05 2023
    The Klein bottle described by means of a Bidimensional Hilbert Curve -iteration 7-
    105 - January 05 2023
    The Möbius strip described by means of a Bidimensional Peano Curve -8 digits-
    106 - January 05 2023
    The Bonan-Jeener double bottle described by means of a Bidimensional Hilbert-like Curve -iteration 6-
    107 - January 02 2023
    A torus described by means of a Bidimensional Peano Curve -8 digits-
    108 - January 02 2023
    Self-Portrait by means of a Bidimensional Hilbert Curve -iteration 6-
    109 - January 01 2023
    Self-Portrait by means of a Bidimensional Hilbert Curve -iteration 6-
    110 - January 01 2023
    A parallelepipedic Torus described by means of a Tridimensional Hilbert Curve -iteration 4-
    111 - December 30 2022
    A Jeener-Möbius Tridimensional manifold described by means of a Tridimensional Hilbert Curve -iteration 4-
    112 - December 30 2022
    The Bonan-Jeener double bottle described by means of a Bidimensional Hilbert Curve -iteration 7-
    113 - December 29 2022
    A torus described by means of a Bidimensional Hilbert Curve -iteration 7-
    114 - December 29 2022
    A sphere described by means of a Bidimensional Hilbert Curve -iteration 7-
    115 - December 29 2022
    A tribute to Sandro Botticelli and Victor Vasarely-
    116 - December 11 2022
    Journey on the Complex Plane by means of a Bidimensional Hilbert Curve -iteration 2- with display of Julia sets
    117 - December 06 2022
    A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
    118 - December 03 2022
    A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
    119 - February 18 2011
    A Tridimensional Tribute to Sandro Botticelli
    120 - November 23 2022
    Untitled 0605
    121 - November 16 2022
    The prime numbers among the 512 first integer numbers on a Tridimensional Hilbert Curve -iteration 3-
    122 - November 07 2022
    The prime numbers among the 1024 first integer numbers on a Bidimensional Hilbert Curve -iteration 5-
    123 - November 07 2022
    The 512 first digits -base 10- of 'pi' on a Tridimensional Hilbert Curve -iteration 3-
    124 - October 27 2022
    The 1024 first digits -base 10- of 'pi' on a Bidimensional Hilbert Curve -iteration 5-
    125 - October 27 2022
    The Node, Rama Revealed -a Tribute to Arthur C. Clarke and Gentry Lee-
    126 - October 22 2022
    N-body problem integration (N=5)displaying four planets with symmetrical initial conditions on elliptic trajectories -'geocentric' point of view, green body-
    127 - October 18 2022
    The Node, The Garden of Rama -a Tribute to Arthur C. Clarke and Gentry Lee-
    128 - October 11 2022
    The K-smooth integers on a Tridimensional Hilbert Curve -iteration 3-
    129 - October 02 2022
    The K-smooth integers on a Bidimensional Hilbert Curve -iteration 5-
    130 - September 28 2022
    The K-smooth integers on a generalized Ulam spiral
    131 - September 27 2022
    The 2/3/5/7-smooth integers on a generalized Ulam spiral
    132 - September 24 2022
    The smooth integers: the prime factor product -the radical function- of the integer numbers
    133 - September 20 2022
    Self-Portrait -'This is not an apple', a Tribute to René Magritte-
    134 - September 13 2022
    The smooth integers
    135 - September 06 2022
    Untitled 0604 -a Tribute to Yves Klein-
    136 - September 04 2022
    Bidimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to a vertical field of gravity
    137 - September 04 2022
    The Satanic Verses -a Tribute to Salman Rushdie-
    138 - August 16 2022
    The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- without confinement -300 particles-, with cluster(s), with a zero death rate and with a 100% infection, starting with just one infected person -red particle on bottom left picture-
    139 - May 11 2005
    Bidimensional display of 31 Rational Numbers by means of the Stern-Brocot Tree
    140 - August 05 2022
    Bidimensional display of 255 Rational Numbers by means of the Stern-Brocot Tree
    141 - August 04 2022
    Untitled 0601 -a Tribute to Jean-Michel Atlan-
    142 - July 26 2022
    Untitled 0600 -a Tribute to Jean Arp-
    143 - July 21 2022
    Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
    144 - July 19 2022
    Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
    145 - July 19 2022
    Untitled 0599 -a Tribute to Robert & Sonia Delaunay-
    146 - June 30 2022
    Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
    147 - June 22 2022
    The Road to Chaos -06/19/2022-
    148 - June 21 2022
    The Road to Chaos -06/19/2022-
    149 - June 21 2022
    Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
    150 - June 18 2022
    Distorsion of the Bonan-Jeener-Klein triple bottle
    151 - June 15 2022
    Untitled 0597
    152 - June 14 2022
    The 'hyperbolic tangent' of a sphere
    153 - June 10 2022
    The 'tangent' of a sphere
    154 - June 10 2022
    The 'hyperbolic tangent' of a sphere
    155 - June 10 2022
    The 'tangent' of a sphere
    156 - June 10 2022
    Distorsion of the Möbius strip
    157 - June 06 2022
    Distorsion of the Möbius strip
    158 - June 06 2022
    Distorsion of the Bonan-Jeener-Klein double bottle
    159 - June 06 2022
    Distorsion of a sphere
    160 - June 05 2022
    Distorsion of the Bonan-Jeener-Klein double bottle
    161 - June 03 2022
    Distorsion of a sphere
    162 - June 03 2022
    Distorsion of the Menger Sponge -iteration 3-
    163 - May 31 2022
    The Radical of the integer numbers from 2 to 257
    164 - May 27 2022
    A tridimensional billiard starting with a Menger Sponge -iteration 2-
    165 - May 25 2022
    Untitled 0596
    166 - May 24 2022
    A Tridimensional Hilbert-like Curve defined with {X3(...),Y3(...),Z3(...)} and based on an 'open' 7-foil torus knot -iteration 3-
    167 - May 17 2022
    A Tridimensional Hilbert-like Curve defined with {X3(...),Y3(...),Z3(...)} and based on an 'open' 5-foil torus knot -iteration 3-
    168 - May 17 2022
    A Tridimensional Hilbert-like Curve defined with {X3(...),Y3(...),Z3(...)} and based on an 'open' 3-foil torus knot -iteration 3-
    169 - May 16 2022
    A Tribute to Piet Mondrian and to David Hilbert
    170 - May 04 2022
    A Tridimensional Hilbert-like Curve defined with {X2(...),Y2(...),Z2(...)} and based on an 'open' 3-foil torus knot -iteration 2-
    171 - April 30 2022
    A Tridimensional Hilbert-like Curve defined with {X3(...),Y3(...),Z3(...)} and based on an 'open' 3-foil torus knot -iteration 3-
    172 - April 29 2022
    A Tridimensional Hilbert-like Curve defined with {X3(...),Y3(...),Z3(...)} -iteration 3-
    173 - April 26 2022
    A Bidimensional Hilbert-like Curve defined with {X5(...),Y5(...)} -iteration 5-
    174 - April 29 2022
    A Bidimensional Hilbert-like Curve defined with {X5(...),Y5(...)} -iteration 5-
    175 - April 16 2022
    David versus Goliath: there is a war between Ukraine and Russia
    176 - April 10 2022
    David versus Goliath: there is a war between Ukraine and Russia
    177 - April 11 2022
    The Tridimensional [0,1] --> [0,1]x[0,1]x[0,1] Peano Surjection -T defined with 9 digits-
    178 - April 08 2022
    The [0,1] --> [0,1]x[0,1] Peano Surjection -T defined with 6 digits-
    179 - March 24 2022
    Spring Time in Monument Valley
    180 - March 21 2022
    Bidimensional Hilbert Curve -iteration 5-
    181 - March 16 2022
    Tridimensional Hilbert Curve -iteration 4-
    182 - March 17 2022
    The distance {Earth-Mars} -millions of kilometers- starting on 01/01/1950 AD and during seven marsian years
    183 - February 26 2022
    This is not a cloud
    184 - February 25 2022
    This is not a cloud
    185 - February 25 2022
    'Organic' network -64 nodes-
    186 - February 18 2022
    A Tribute to Sandro Botticelli
    187 - February 16 2022
    Jigsaw puzzle with a self-Portrait
    188 - January 22 2022
    Random mosaic
    189 - January 21 2022
    Paradoxal Monument Valley at sunset
    190 - January 14 2022
    Monument Valley
    191 - January 14 2022
    The 8188 first prime numbers starting at 11 computed modulo 7 and displayed as an 'absolute' tridimensional random walk with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
    192 - January 09 2022
    The 8188 first prime numbers starting at 11 computed modulo 7 and displayed as an 'absolute' tridimensional random walk
    193 - January 08 2022
    The 8192 first prime numbers displayed modulo the 16 smallest ones -ramdom walk like trajectories-
    194 - January 07 2022
    The 128 first prime numbers displayed modulo the 16 smallest ones -spiral like trajectories-
    195 - January 04 2022
    Impressionist tridimensional self-Portrait
    196 - December 23 2021
    Untitled 0382
    197 - December 20 2021
    The abelian -commutative- group defined on elliptic curves
    198 - September 18 2013
    Coalescence of 40832 particles -black holes?- inside a tridimensional parallelepipedic billiard with display of the dynamics of the mass histogram
    199 - November 30 2021
    Untitled 0381
    200 - November 19 2021
    Coalescence of 40832 particles -black holes?- inside a tridimensional parallelepipedic billiard
    201 - November 19 2021
    Coalescence of 40832 particles -black holes?- inside a tridimensional parallelepipedic billiard
    202 - November 18 2021
    Untitled 0372 -a Tribute to Piet Mondrian and to Ernö Rubik-
    203 - November 15 2021
    Apple Blossoms -a Tribute to Piet Mondrian and to Ernö Rubik-
    204 - November 15 2021
    Coalescence of 972 particles -black holes?- on a bidimensional rectangular billiard
    205 - November 17 2021
    The distances {Sun-Jupiter,Sun-Saturn,Sun-Uranus,Sun-Neptune} during one neptunian year
    206 - November 12 2021
    An aperiodic Penrose tiling of the plane -the extended paradoxal demoniac Rubik's Cube-
    207 - November 07 2021
    The numerical irreversibility of the bidimensional billiard -1376 particles-
    208 - November 05 2021
    The numerical reversibility of the bidimensional billiard -192 particles-
    209 - November 05 2021
    A medium with percolation -top to bottom- using the 8-connexity
    210 - November 03 2021
    Untitled 0380
    211 - November 01 2021
    A medium with percolation -top to bottom- using the 4-connexity
    212 - November 01 2021
    The Syracuse conjecture for U(0)={5,6,7,8,...,260} -'pseudo-ramdom walk' display: 'The Syracuse Supernova'-
    213 - October 29 2021
    Impressionist view of the magical forest
    214 - October 25 2021
    Impressionist view of the Menger Sponge -iteration 5-
    215 - October 25 2021
    Impressionist view of the Jeener hypocycloidal snail
    216 - October 25 2021
    Impressionist view of a tridimensional fractal manifold defined by means of three tridimensional fields
    217 - October 25 2021
    The construction process of an aperiodic Penrose tiling -a zoom in on the aperiodic Penrose tiling-
    218 - October 23 2021
    The quaternionic fractal set obtained when computing the roots of Q^8=1 using Newton's method with translation along the third axis of the quaternionic space -tridimensional cross-section-
    219 - October 21 2021
    Visualization of the Newton's method when computing the roots of Z^8=1
    220 - October 13 2021
    Tridimensional brownian motion -the colors used (magenta,red,yellow,green,cyan)are an increasing function of the time- and the 'external border' of its bidimensional projection -white- with display of the evolution of the distance to the origin -grey, from left to right-
    221 - October 04 2021
    Bidimensional brownian motion -the colors used (magenta,red,yellow,green,cyan)are an increasing function of the time- and its 'external border' -white- with display of the evolution of the distance to the origin -grey, from left to right-
    222 - October 04 2021
    How to compute 'pi' with a gun
    223 - September 08 2021
    The configuration entropy of a set of n=64 particles
    224 - August 20 2021
    Tridimensional high resolution visualization of an extended Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
    225 - August 18 2021
    Tridimensional high resolution visualization of an extended Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
    226 - August 18 2021
    Tridimensional high resolution visualization of an extended Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
    227 - August 17 2021
    Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
    228 - August 14 2021
    Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
    229 - August 13 2021
    A twisted Menger Sponge -iteration 5-
    230 - August 12 2021
    Untitled 0379
    231 - July 16 2021
    Jean-François COLONNA
    232 - July 13 2021
    'Le bouquet tout fait' -a Tribute to René Magritte and Sandro Botticelli-
    233 - July 06 2021
    The Syracuse conjecture for U(0)={5,6,7,8,...,20} -tridimensional display-
    234 - July 06 2021
    The Syracuse conjecture for U(0)={5,6,7,8,...,20} -bidimensional display-
    235 - July 06 2021
    Light clouds
    236 - July 05 2021
    Untitled 0378
    237 - July 02 2021
    Untitled 0377
    238 - July 01 2021
    Untitled 0376
    239 - July 01 2021
    Untitled 0375
    240 - June 23 2021
    Ducks and friends
    241 - June 22 2021
    Untitled 0374
    242 - June 22 2021
    Apple Blossoms -a Tribute to Piet Mondrian-
    243 - June 16 2021
    The first two iterations of the construction of the Minkowski curve
    244 - June 14 2021
    Untitled 0373
    245 - June 07 2021
    Untitled 0381 -a Tribute to Piet Mondrian-
    246 - June 07 2021
    A strange and noisy self-portrait with a very simple luminance
    247 - June 01 2021
    Apple Blossoms -a Tribute to Piet Mondrian-
    248 - June 02 2021
    A strange and noisy picture with a very simple luminance
    249 - May 23 2021
    Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
    250 - May 04 2021
    Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
    251 - May 01 2021
    Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
    252 - May 01 2021
    A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
    253 - May 01 2021
    Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
    254 - May 24 2019
    The Master of the Universe
    255 - April 15 2021
    Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
    256 - April 06 2021
    Composition sans objet numéro 61 -a Tribute to Alexander Rodtchenko-
    257 - April 07 2021
    Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
    258 - April 07 2021
    A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
    259 - April 07 2021
    Bidimensional cross-sections inside a fractal structure
    260 - March 18 2021
    Bidimensional cross-sections inside a fractal structure
    261 - March 18 2021
    Bidimensional zoom in on the Mandelbrot set
    262 - March 17 2021
    Untitled 0369
    263 - March 05 2021
    The seven first bifurcation levels (over fifteen)of the human lung tree
    264 - March 05 2021
    A pseudo-octonionic Mandelbrot set -tridimensional cross-section-
    265 - February 20 2021
    Close-up on a foggy pseudo-octonionic Mandelbrot set with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
    266 - February 20 2021
    A pseudo-octonionic Mandelbrot set -tridimensional cross-section-
    267 - February 19 2021
    Close-up on a foggy pseudo-octonionic Mandelbrot set with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
    268 - February 17 2021
    Close-up on a foggy pseudo-octonionic Mandelbrot set with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
    269 - February 16 2021
    A pseudo-octonionic Mandelbrot set -tridimensional cross-section-
    270 - February 16 2021
    Foggy 'anti-island'
    271 - February 11 2002
    Foggy island
    272 - February 10 2002
    Untitled 0368
    273 - January 22 2021
    Untitled 0367 -with an illusion of depth (the red seems to be in the foreground and the blue in the background)-
    274 - January 22 2021
    Untitled 0362
    275 - January 20 2021
    Cormorant
    276 - January 19 2021
    Erosion of a bidimensional random (with large scale correlations)island
    277 - January 18 2002
    Untitled 0361
    278 - January 12 2021
    Cauliflowers, seaweeds, shells,...
    279 - January 19 1993
    Mountains and light cloud dynamics -this sequence being periodical-
    280 - June 24 1996
    Foggy 'anti-seaboard'
    281 - March 27 2002
    Foggy seaboard
    282 - March 27 2002
    Bidimensional rectangular billiard
    283 - July 07 1998
    The distances Sun-Earth-Jupiter-Saturn-Uranus-Neptune during one neptunian year
    284 - January 05 2021
    Untitled 0359
    285 - December 28 2020
    Untitled 0358
    286 - December 25 2020
    Untitled 0354
    287 - December 23 2020
    Untitled 0352
    288 - December 22 2020
    Untitled 0351
    289 - December 20 2020
    Untitled 0349
    290 - December 16 2020
    Untitled 0348
    291 - December 09 2020
    Untitled 0347
    292 - December 04 2020
    Some of the most beautiful fractal pictures
    293 - February 15 2018

    My fractals
    on YouTube
    Pegasus
    294 - November 26 2020
    Pterodactyl
    295 - November 25 2020
    A 'hyperbolic' Horner manifold 2 of the first degree
    296 - November 23 2020
    A 'hyperbolic' Horner manifold 1 of the first degree
    297 - November 23 2020
    A 'circular' Horner manifold of the first degree
    298 - November 22 2020
    A 'linear' Horner manifold of the third degree
    299 - November 21 2020
    A 'linear' Horner surface of the fourth degree
    300 - November 20 2020
    Fractal diffusion front in a bidimensional medium obtained by means of a random walk process (zoom in on the first steps)
    301 - November 17 2020
    Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
    302 - November 14 2020
    Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
    303 - November 13 2020
    'Organic' network -64 nodes-
    304 - November 07 2020
    Complexity, Connectivity and Consciousness -4096 nodes-
    305 - November 02 2020
    Complexity, Connectivity and Consciousness -512 nodes-
    306 - November 01 2020
    Homogeneous meshing of a cube
    307 - November 01 2020
    Complexity, Connectivity and Consciousness -64 nodes-
    308 - October 31 2020
    A 'hyperbolic' Horner surface 2 of the second degree
    309 - October 17 2020
    A 'hyperbolic' Horner surface 1 of the second degree
    310 - October 16 2020
    A 'circular' Horner surface of the second degree
    311 - October 16 2020
    N-body problem integration (N=2)displaying a perfect Keplerian orbit (an ellipse)
    312 - October 12 1995
    Untitled 0346 -a Tribute to Vassily Kandinsky-
    313 - October 06 2020
    Untitled 0345 -a Tribute to Vassily Kandinsky-
    314 - October 06 2020
    Untitled 0344 -a Tribute to Vassily Kandinsky-
    315 - October 06 2020
    Untitled 0343
    316 - October 02 2020
    The Goldbach conjecture
    317 - September 30 2020
    Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 1.083.984 galaxies)obtained by means of a non deterministic fractal process
    318 - January 08 2016
    Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 304.116 galaxies)obtained by means of a non deterministic fractal process -with an illusion of depth (the red seems to be in the foreground and the blue in the background)-
    319 - January 08 2016
    The 50 first digits {4,1,4,2,1,3,5,6,2,3,...} of the square root of 2 displayed on an helix -orange-
    320 - September 04 2020
    The 50 first digits {6,1,8,0,3,3,9,8,8,7,...} of the golden ratio displayed on an helix -orange-
    321 - September 04 2020
    The 50 first digits {7,1,8,2,8,1,8,2,8,4,...} of 'e' displayed on an helix -orange-
    322 - September 04 2020
    The 50 first digits {1,2,3,4,5,6,7,8,9,1,...} of the Champernowne number displayed on an helix -orange-
    323 - September 04 2020
    The 50 first digits {14...} of 'pi' displayed on an helix -orange-
    324 - September 04 2020
    The 1.000 first digits -base 10- of 'pi' displayed on an helix -good point of view-
    325 - December 17 2015
    The 2-17 first digits -base 10- of 'pi' displayed on a circle
    326 - August 16 2020
    Bidimensional cross-sections of the Klein bottle
    327 - August 10 2020
    Bidimensional cross-sections of the Jeener unilateral node
    328 - August 07 2020
    Bidimensional cross-sections of the Bonan-Jeener-Klein triple bottle
    329 - August 04 2020
    Bidimensional cross-sections of a cylinder
    330 - August 04 2020
    Tridimensional representation of our familiar tridimensional space
    331 - July 27 2020
    Magical forest
    332 - July 04 2020
    Computation of the roots of Z^8=1 using Newton's method
    333 - June 29 2020
    Computation of the roots of Z^3=1 using Newton's method
    334 - June 29 2020
    An elementary monodimensional binary cellular automaton -90- with 1 white starting point -bottom middle-
    335 - January 17 2003
    Sixty-four overlaped torus
    336 - June 19 2020
    Sixteen overlaped torus
    337 - June 14 2020
    Four overlaped torus
    338 - June 09 2020
    Untitled 0342
    339 - June 08 2020
    Untitled 0339
    340 - June 08 2020
    A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a torus
    341 - June 08 2020
    A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a torus
    342 - June 08 2020
    The Jeener twin bottles
    343 - June 09 2020
    Untitled 0341
    344 - May 30 2020
    Untitled 0338
    345 - May 30 2020
    A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
    346 - May 29 2020
    A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
    347 - May 29 2020
    The Bonan-Jeener double bottle
    348 - May 23 2020
    Untitled 0337
    349 - May 22 2020
    Untitled 0336
    350 - May 22 2020
    A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
    351 - May 22 2020
    A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
    352 - May 22 2020
    Hodographs -with display of a few velocity vectors- of 5 of the 9 planets of the Solar System during three plutonian years
    353 - October 14 1999
    Untitled 0335
    354 - May 12 2020
    Untitled 0334
    355 - May 12 2020
    A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
    356 - May 12 2020
    A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
    357 - May 12 2020
    Untitled 0333
    358 - May 11 2020
    Untitled 0332
    359 - May 11 2020
    A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
    360 - May 11 2020
    A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
    361 - May 11 2020
    The Jeener-Klein bottle loop 2
    362 - May 08 2020
    Artistic view of gravitational waves
    363 - May 04 2020
    Untitled 0322
    364 - April 30 2020
    A distorded -for the sake of display- 5-cube -an hyperhypercube-
    365 - April 30 2020
    Untitled 0331
    366 - April 27 2020
    Untitled 0330
    367 - April 27 2020
    A tridimensional intertwining made of the Menger Sponge -iteration 5- the Bonan-Jeener-Klein triple bottle
    368 - April 27 2020
    A tridimensional intertwining made of the Menger Sponge -iteration 5- the Bonan-Jeener-Klein triple bottle
    369 - April 27 2020
    Untitled 0325
    370 - April 23 2020
    Untitled 0324
    371 - April 23 2020
    A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
    372 - April 23 2020
    A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
    373 - April 23 2020
    A random tridimensional binary tree
    374 - April 23 2020
    A random tridimensional graph
    375 - April 23 2020
    Mathematics: an infinite pyramidal structure built on a few axioms
    376 - April 23 2020
    Untitled 0323
    377 - April 20 2020
    Untitled 0329
    378 - April 20 2020
    A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
    379 - April 20 2020
    A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
    380 - April 20 2020
    A random tridimensional binary tree
    381 - April 20 2020
    Untitled 0321
    382 - April 17 2020
    The Jeener opera -10-Sydney-
    383 - April 15 2020
    The Jeener bud
    384 - April 14 2020
    The Simpson paradox
    385 - April 18 2013
    The Jeener-Klein bottle loop 1
    386 - April 08 2020
    The Jeener shell -2-
    387 - April 04 2020
    A 'crumpled' Jeener 'bulot' -a shell-
    388 - April 02 2020
    A 'crumpled' Jeener 'bulot' -a shell-
    389 - March 31 2020
    The 'exponential' spreading of a tridimensional epidemic -the COVID-19 coronavirus?- without confinement -1430 particles-, with a zero death rate and with a 100% infection, starting with just one infected person -red particle on bottom left picture-
    390 - March 28 2020
    Untitled 0328
    391 - March 26 2020
    Untitled 0320
    392 - March 26 2020
    A tridimensional intertwining made of an extended Menger Sponge -iteration 5- inside a sphere
    393 - March 26 2020
    A tridimensional intertwining made of an extended Menger Sponge -iteration 5- inside a sphere
    394 - March 26 2020
    The Jeener waves -1-
    395 - March 22 2020
    The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- with partial confinement -201 particles-, with a zero death rate and a 50% infection, starting with just one infected person -red particle on bottom left picture-
    396 - March 16 2020
    The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- without confinement -300 particles-, with a zero death rate and with a 50% infection, starting with just one infected person -red particle on bottom left picture-
    397 - March 16 2020
    The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- with partial confinement -201 particles-, with a zero death rate and a 100% infection, starting with just one infected person -red particle on bottom left picture-
    398 - March 15 2020
    The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- without confinement -300 particles-, with a zero death rate and with a 100% infection, starting with just one infected person -red particle on bottom left picture-
    399 - May 11 2005
    The Jeener shell -1-
    400 - March 12 2020
    The Jeener hypocycloidal snail
    401 - March 11 2020
    A tridimensional intertwining made of a tridimensional cross-section inside a pseudo-octonionic Julia set inside a sphere
    402 - March 07 2020
    A tridimensional intertwining made of a tridimensional cross-section inside a pseudo-octonionic Julia set inside a sphere
    403 - March 07 2020
    Untitled 0319
    404 - March 06 2020
    Untitled 0318
    405 - March 06 2020
    A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
    406 - March 06 2020
    A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
    407 - March 06 2020
    Untitled 0317
    408 - March 03 2020
    Untitled 0316
    409 - March 03 2020
    A tridimensional intertwining made of a tridimensional cubic mesh inside a sphere
    410 - March 03 2020
    A tridimensional intertwining made of a tridimensional cubic mesh inside a sphere
    411 - March 03 2020
    Untitled 0315
    412 - March 03 2020
    Untitled 0314
    413 - March 03 2020
    A tridimensional intertwining made of an amazing cross-section inside the Menger Sponge -iteration 5- inside a sphere
    414 - February 27 2020
    A tridimensional intertwining made of an amazing cross-section inside the Menger Sponge -iteration 5- inside a sphere
    415 - February 27 2020
    Multifractal mountains (bird's-eye view)-with an illusion of depth (the red seems to be in the foreground and the blue in the background)-
    416 - February 27 2020
    The Jeener giant clam
    417 - February 26 2020
    The Jeener 'bulot' -a shell-
    418 - February 26 2020
    Untitled 0313
    419 - February 26 2020
    Untitled 0312
    420 - February 26 2020
    A tridimensional intertwining inside the Jeener triton
    421 - February 26 2020
    A tridimensional intertwining inside the Jeener triton
    422 - February 26 2020
    The Jeener triton
    423 - February 25 2020
    The Jeener nautilus
    424 - February 24 2020
    Untitled 0311
    425 - February 22 2020
    Untitled 0310
    426 - February 22 2020
    Untitled 0309
    427 - February 22 2020
    Untitled 0308
    428 - February 22 2020
    Untitled 0307 -with an illusion of depth (the red seems to be in the foreground and the blue in the background)-
    429 - February 22 2020
    Untitled 0306
    430 - February 22 2020
    The Jeener-Klein bottle 'epicycloidal' spiral
    431 - February 20 2020
    The Jeener-Klein bottle frieze
    432 - February 20 2020
    The Jeener-Klein bottle spiral
    433 - February 19 2020
    A tridimensional intertwining inside a Jeener intertwining
    434 - February 18 2020
    A tridimensional intertwining inside a Jeener intertwining
    435 - February 18 2020
    The Jeener intertwining
    436 - February 17 2020
    The Jeener toric node
    437 - February 13 2020
    The Jeener unilateral node
    438 - February 12 2020
    Untitled 0305
    439 - February 07 2020
    Untitled 0304
    440 - February 04 2020
    A tridimensional intertwining inside a 'tridimensional epicycloïdal' pseudo-torus
    441 - February 01 2020
    A tridimensional intertwining inside a 'tridimensional epicycloïdal' pseudo-torus
    442 - January 31 2020
    The journey of an Earth-like planet (green)in the Solar System -point of view of the virtual planet-
    443 - October 14 2017
    Fractal 'celestial body' based on a torus and a tridimensional intertwining inside the Bonan-Jeener-Klein triple bottle
    444 - January 26 2020
    A tridimensional intertwining inside the Bonan-Jeener-Klein triple bottle
    445 - February 01 2020
    A tridimensional intertwining inside the Bonan-Jeener-Klein triple bottle
    446 - January 26 2020
    Fractal 'celestial body' based on a torus and a tridimensional intertwining inside a torus
    447 - January 26 2020
    A tridimensional intertwining inside a torus
    448 - February 02 2020
    A tridimensional intertwining inside a torus
    449 - January 26 2020
    A tridimensional intertwining based on a sphere inside a sphere
    450 - January 23 2020
    A tridimensional intertwining based on the Bonan-Jeener-Klein triple bottle inside a sphere
    451 - January 26 2020
    Fractal 'celestial body' based on a torus and a tridimensional intertwining based on a sphere inside a sphere
    452 - January 23 2020
    Fractal 'celestial body' based on a torus and a tridimensional intertwining based on the Bonan-Jeener-Klein triple bottle inside a sphere
    453 - January 26 2020
    A 'recursive' -two iterations-' tridimensional intertwining inside a sphere
    454 - January 21 2020
    A 'recursive' -one iteration-' tridimensional intertwining inside a sphere
    455 - January 21 2020
    Fractal 'celestial body' based on a torus and a 'recursive' -two iterations-' tridimensional intertwining inside a sphere
    456 - January 21 2020
    Fractal 'celestial body' based on a torus and a 'recursive' -one iteration-' tridimensional intertwining inside a sphere
    457 - January 21 2020
    Fractal 'celestial body' based on a torus and a tridimensional intertwining inside a sphere
    458 - January 21 2020
    Fractal 'celestial body' based on a torus and a tridimensional intertwining inside a sphere
    459 - January 21 2020
    A tridimensional intertwining inside a sphere
    460 - January 20 2020
    A tridimensional intertwining inside a sphere
    461 - January 20 2020
    A tridimensional intertwining
    462 - January 09 2020
    A tridimensional intertwining
    463 - January 09 2020
    Untitled 0303
    464 - January 07 2020
    Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
    465 - December 30 2019
    Fractal 'celestial body' based on the Bonan-Jeener-Klein triple bottle with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
    466 - December 26 2019
    The foggy Babel Pyramid
    467 - December 21 2019
    The actual relative sizes of the Solar System bodies
    468 - December 17 2019
    The quaternionic Mandelbrot set - using the pseudo-addition and the pseudo-multiplication in C- -tridimensional cross-section-
    469 - December 16 2019
    The quaternionic Mandelbrot set -tridimensional cross-section-
    470 - December 16 2019
    A color palette with an increasing luminance
    471 - December 07 2019
    A dying Borg starship on Pluto
    472 - December 06 2019
    The Cantor Triadic Set -iterations 0 to 5-
    473 - December 04 2019
    Untitled 0302
    474 - December 03 2019
    A tridimensional structure based on a 1/O conformal transformation in the pseudo-octonionic space -tridimensional cross-section-
    475 - December 03 2019
    A tridimensional structure based on a 1/O conformal transformation in the pseudo-octonionic space -tridimensional cross-section-
    476 - November 24 2019
    Fractal 'celestial body' based on a sphere with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
    477 - November 23 2019
    Fractal 'celestial body' based on a torus with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
    478 - November 23 2019
    Fractal 'celestial body' based on a sphere with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
    479 - November 22 2019
    The abelian -commutative- group defined on elliptic curves
    480 - September 18 2013
    A 'crumpled' sphere defined by means of three bidimensional fields
    481 - November 17 2019
    Untitled 0301
    482 - November 16 2019
    Multifractal mountains (bird's-eye view)
    483 - November 16 2019
    'Fractal set of ropes' based on a plane
    484 - November 09 2019
    A mixing -addition- of a sphere and of a 'thick' helix defined by means of three bidimensional fields
    485 - October 29 2019
    Fractal 'celestial body' based on a sphere with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
    486 - October 19 2019
    Fractal 'celestial body' based on a sphere with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
    487 - October 19 2019
    Untitled 0300
    488 - October 18 2019
    Fractal 'celestial body' based on a torus
    489 - October 17 2019
    Fractal 'celestial body' based on a sphere
    490 - October 15 2019
    The Schaeffer bijection
    491 - June 29 2015
    Dynamical tridimensional fractal structure
    492 - October 08 2019
    A simplified solar system including the Sun, Jupiter and a 'false' Pluto -Jupiter point of view-
    493 - October 05 2019
    The Ptolemaic system with a moving equant -grey circle above the Earth- with a small light grey circle -the epicycle- whose center describes a larger dark grey circle -the deferend-
    494 - October 02 2019
    The Ptolemaic system with equant -grey circle above the Earth- and with a small light grey circle -the epicycle- whose center describes a larger dark grey circle -the deferend-
    495 - October 02 2019
    Dynamical mountains (bird's-eye view)
    496 - September 27 2019
    Tridimensional fractal structure
    497 - September 26 2019
    The erosion of an amazing cross-section inside the Menger Sponge -iteration 5- with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
    498 - September 25 2019
    Tridimensional fractal structure
    499 - September 24 2019
    Tridimensional fractal structure
    500 - September 23 2019

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    Copyright © Jean-François COLONNA, 2000-2024.
    Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2000-2024.