Gallery (501 different pictures):

The 500 Most Recent Pictures on display on Friday May 03 2024

[Galerie (501 images différentes) : Les 500 Images les plus récemment mises en exposition à la date du Vendredi 03 Mai 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 9891) on 05/03/2024 [Les 500 Images mises en exposition le plus récemment (parmi 9891) le 03/05/2024]:

    • (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 100.000 first digits -base 10- of 'pi' viewed as a huge integer number converted to base 6 and displayed as an 'absolute' tridimensional random walk -127.237 steps-
    1 - December 07 2013         		The God Chessboard or the 64 first digits -base 2- of 'pi' -the first 'digit' is the bottom left black square-
    2 - May 02 2024         		The 100.000 first digits -base 10- of 'pi' viewed as a huge integer number converted to base 6 and displayed as an 'absolute' tridimensional random walk -127.237 steps-
    3 - May 01 2024         		The DNA of Mathematics -the 480 first digits of 'pi' and '1/pi'-
    4 - April 29 2024         		The DNA of Mathematics -the 60 first digits of 'pi' and '1/pi'-
    5 - April 26 2024
    The DNA of Mathematics -the 480 first digits of 'pi' and '1/pi'-
    6 - April 25 2024         		The DNA of Mathematics -the 60 first digits of 'pi' and '1/pi'-
    7 - April 23 2024         		The DNA of Mathematics -the 480 first digits of 'pi' and 'e'-
    8 - April 22 2024         		The DNA of Mathematics -the 60 first digits of 'pi' and 'e'-
    9 - April 17 2024         		A double spherical cross-section inside a 3x3x3 Menger Sponge -iteration 4- displaying the number 3.141
    10 - April 16 2024
    The 'pi' island
    11 - April 15 2024         		A 3x3x3 Menger Sponge -iteration 6- displaying the number 3.14159
    12 - April 14 2024         		A 3x3x3 Menger Sponge -iteration 6- displaying the number 6.85840 (=9.99999-3.14159)
    13 - 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)
    14 - April 11 2024         		A 5x5 Sierpinski Carpet -iteration 4- using the 9 first prime numbers and displaying the number 3.141
    15 - April 09 2024
    Tridimensional display of a spiral displaying 'pi' with 4000 digits -base 10-
    16 - April 05 2024         		Tridimensional display of a spiral displaying 'pi' with 2000 digits -base 10-
    17 - March 25 2024         		Tridimensional artistic view of 'pi'
    18 - March 19 2024         		Tridimensional display of an Archimedes spiral displaying 'pi' with 1000 digits -base 10-
    19 - March 07 2024         		display of 'pi' with 1.000 digits -base 10- on an helix -good point of view-
    20 - December 17 2015
    display of 'pi' with 100 digits {3.14...} on an helix -grey-
    21 - February 24 2024         		Artistic views of the 100.000 first digits -base 10- of 'pi'
    22 - February 28 2024         		display of 'pi' with 128.508 digits -base 6- as an 'absolute' tridimensional random walk
    23 - March 03 2024         		Tridimensional display of a Fractal Square -iteration 1 to 3-
    24 - February 20 2024         		Untitled 0625
    25 - May 02 2024
    The Spectre
    26 - February 02 2024         		The genesis of the 'EinStein' aperiodic 'Spectre' tile -top right-
    27 - January 29 2024         		Untitled 0624
    28 - 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)
    29 - January 05 2024         		Untitled 0623
    30 - December 20 2023
    Merry Christmas 2023: A Fractal Cube -iteration 2-
    31 - December 20 2023         		Untitled 0622
    32 - December 16 2023         		Untitled 0621
    33 - December 13 2023         		A Tribute to Maria Callas
    34 - December 12 2023         		The 21 connected components of a Fractal Cube -iteration 1-
    35 - December 05 2023
    The 94 connected components of a Fractal Square -iteration 4-
    36 - November 24 2023         		Tridimensional display of a Fractal Square -iteration 1 to 3-
    37 - November 27 2023         		Tridimensional display of the Mandelbrot Set obtained by means of a bidimensional Fractal Square -iteration 1 to 3-
    38 - November 26 2023         		Tridimensional display of a Fractal Square -iteration 1 to 5-
    39 - November 25 2023         		Tridimensional display of a Fractal Square -iteration 1 to 5-
    40 - November 25 2023
    Tridimensional display of a Fractal Square -iteration 1 to 5-
    41 - November 25 2023         		A Fractal Cube -iteration 2-
    42 - November 13 2023         		A Fractal Cube -iteration 2-
    43 - November 09 2023         		A Fractal Cube -iteration 2-
    44 - November 07 2023         		A 'crumpled' close-up of the 'EinStein' aperiodic 'Spectre' tiling
    45 - October 27 2023
    Untitled 0619
    46 - October 27 2023         		An Impossible Peace
    47 - October 22 2023         		An Impossible Peace
    48 - October 19 2023         		The Mystic Island based on the level 3 cluster made of 8 'Spectre' level 2 clusters
    49 - 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)
    50 - 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)
    51 - 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)
    52 - September 09 2023         		The 'Mystic' made of two 'EinStein' aperiodic 'Spectre' tiles
    53 - September 02 2023         		Untitled 0618
    54 - September 01 2023         		Tridimensional display of the 'EinStein' aperiodic 'Spectre' tiling
    55 - 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
    56 - 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
    57 - August 11 2023         		A random tiling of a square domain using dominoes (1x2 rectangles)-line after line-
    58 - August 07 2023         		A close-up of the 'EinStein' aperiodic 'Spectre' tiling
    59 - August 21 2023         		A Ball described by means of a Tridimensional Hilbert-like Curve -iteration 4-
    60 - July 03 2023
    A Ball described by means of an 'open' 3-foil torus knot -iteration 4-
    61 - June 29 2023         		A Ball described by means of a Tridimensional Hilbert Curve -iteration 4-
    62 - June 29 2023         		The Klein bottle described by means of a Bidimensional non continous Hilbert-like Curve -iteration 5-
    63 - June 24 2023         		Untitled 0617
    64 - June 21 2023         		The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 5-
    65 - June 20 2023
    A Ball described by means of an hypercube -iteration 4-
    66 - May 30 2023         		The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 7-
    67 - May 24 2023         		A Tridimensional Hilbert-like Curve defined with {X2(...),Y2(...),Z2(...)} -iteration 2-
    68 - May 23 2023         		The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 5-
    69 - May 19 2023         		The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 5-
    70 - May 19 2023
    Some elementary symbols used to built labyrinths -with a big black ghost structure at pi/4-
    71 - November 16 2016         		The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 6-
    72 - April 28 2023         		A 'fractal plane' with overhangings described by means of a Bidimensional Hilbert-like Curve -iteration 6-
    73 - April 28 2023         		A Bidimensional Hilbert-like Curve defined with {X1(...),Y1(...)} related to the Mandelbrot set border -iteration 5-
    74 - April 28 2023         		A 'fractal plane' with overhangings described by means of a Bidimensional Hilbert Curve -iteration 7-
    75 - April 21 2023
    A 'crumpled' sphere described by means of a Bidimensional Hilbert Curve -iteration 7-
    76 - April 19 2023         		Untitled 0616
    77 - April 18 2023         		Untitled 0615
    78 - April 12 2023         		Untitled 0614
    79 - April 07 2023         		Tridimensional representation of a quadridimensional Calabi-Yau manifold described by means of 5x5 Bidimensional Hilbert Curves -iteration 5-
    80 - April 04 2023
    Untitled 0613
    81 - March 15 2023         		Untitled 0612
    82 - March 14 2023         		The Piet Mondrian quadridimensional Calabi-Yau manifold -2D, 3D or 4D?-
    83 - March 10 2023         		The Piet Mondrian Hypercube -2D, 3D or 4D?-
    84 - March 09 2023         		Tridimensional representation of an hexadecadimensional Calabi-Yau manifold with pseudo-random projection
    85 - March 02 2023
    Untitled 0611
    86 - February 28 2023         		5x5 various bidimensional closed self-avoiding brownian motions on a tridimensional representation of a quadridimensional Calabi-Yau manifold
    87 - February 17 2023         		5x5 identical bidimensional closed self-avoiding brownian motions on a tridimensional representation of a quadridimensional Calabi-Yau manifold
    88 - February 16 2023         		Untitled 0610
    89 - February 14 2023         		Untitled 0609
    90 - February 14 2023
    Tridimensional representation of an octodimensional Calabi-Yau manifold with pseudo-random projection
    91 - February 13 2023         		Tridimensional representation of an octodimensional Calabi-Yau manifold with pseudo-random projection
    92 - February 11 2023         		Tridimensional representation of a quadridimensional Calabi-Yau manifold described by means of 5x5 Bidimensional Hilbert Curves -iteration 5-
    93 - February 02 2023         		A parallelepipedic Torus described by means of an 'open' 3-foil torus knot -iteration 4-
    94 - January 31 2023         		A Jeener-Möbius Tridimensional manifold described by means of an 'open' 3-foil torus knot -iteration 4-
    95 - January 31 2023
    A Jeener-Möbius Tridimensional manifold described by means of a Tridimensional Hilbert Curve -iteration 4-
    96 - January 23 2023         		A 'square' spiral on the Boy surface
    97 - January 21 2023         		A 'square' spiral on the Bonan-Jeener-Klein triple bottle
    98 - January 21 2023         		A 'square' spiral on the Klein bottle
    99 - January 21 2023         		Untitled 0608
    100 - January 20 2023
    Bidimensional closed pseudo-self-avoiding brownian motion on the Boy surface
    101 - January 20 2023         		Bidimensional closed pseudo-self-avoiding brownian motion on the Bonan-Jeener-Klein triple bottle
    102 - January 20 2023         		Bidimensional closed self-avoiding brownian motion on a torus
    103 - January 20 2023         		Bidimensional closed pseudo-self-avoiding brownian motion on the Klein bottle
    104 - January 20 2023         		Bidimensional closed self-avoiding brownian motion on a sphere
    105 - January 17 2023
    Bidimensional brownian motion on the Klein bottle
    106 - January 15 2023         		Bidimensional brownian motion on a sphere
    107 - January 15 2023         		Untitled 0606
    108 - January 11 2023         		Untitled 0607
    109 - January 11 2023         		The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 6-
    110 - January 10 2023
    The Klein bottle described by means of a Bidimensional Hilbert Curve -iteration 7-
    111 - January 10 2023         		The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 6-
    112 - January 05 2023         		The Klein bottle described by means of a Bidimensional Hilbert Curve -iteration 7-
    113 - January 05 2023         		The Möbius strip described by means of a Bidimensional Peano Curve -8 digits-
    114 - January 05 2023         		The Bonan-Jeener double bottle described by means of a Bidimensional Hilbert-like Curve -iteration 6-
    115 - January 02 2023
    A torus described by means of a Bidimensional Peano Curve -8 digits-
    116 - January 02 2023         		Self-Portrait by means of a Bidimensional Hilbert Curve -iteration 6-
    117 - January 01 2023         		Self-Portrait by means of a Bidimensional Hilbert Curve -iteration 6-
    118 - January 01 2023         		A parallelepipedic Torus described by means of a Tridimensional Hilbert Curve -iteration 4-
    119 - December 30 2022         		A Jeener-Möbius Tridimensional manifold described by means of a Tridimensional Hilbert Curve -iteration 4-
    120 - December 30 2022
    The Bonan-Jeener double bottle described by means of a Bidimensional Hilbert Curve -iteration 7-
    121 - December 29 2022         		A torus described by means of a Bidimensional Hilbert Curve -iteration 7-
    122 - December 29 2022         		A sphere described by means of a Bidimensional Hilbert Curve -iteration 7-
    123 - December 29 2022         		A tribute to Sandro Botticelli and Victor Vasarely-
    124 - December 11 2022         		Journey on the Complex Plane by means of a Bidimensional Hilbert Curve -iteration 2- with display of Julia sets
    125 - December 06 2022
    A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
    126 - December 03 2022         		A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
    127 - February 18 2011         		A Tridimensional Tribute to Sandro Botticelli
    128 - November 23 2022         		Untitled 0605
    129 - November 16 2022         		The prime numbers among the 512 first integer numbers on a Tridimensional Hilbert Curve -iteration 3-
    130 - November 07 2022
    The prime numbers among the 1024 first integer numbers on a Bidimensional Hilbert Curve -iteration 5-
    131 - November 07 2022         		The 512 first digits -base 10- of 'pi' on a Tridimensional Hilbert Curve -iteration 3-
    132 - October 27 2022         		The 1024 first digits -base 10- of 'pi' on a Bidimensional Hilbert Curve -iteration 5-
    133 - October 27 2022         		The Node, Rama Revealed -a Tribute to Arthur C. Clarke and Gentry Lee-
    134 - 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-
    135 - October 18 2022
    The Node, The Garden of Rama -a Tribute to Arthur C. Clarke and Gentry Lee-
    136 - October 11 2022         		The K-smooth integers on a Tridimensional Hilbert Curve -iteration 3-
    137 - October 02 2022         		The K-smooth integers on a Bidimensional Hilbert Curve -iteration 5-
    138 - September 28 2022         		The K-smooth integers on a generalized Ulam spiral
    139 - September 27 2022         		The 2/3/5/7-smooth integers on a generalized Ulam spiral
    140 - September 24 2022
    The smooth integers: the prime factor product -the radical function- of the integer numbers
    141 - September 20 2022         		Self-Portrait -'This is not an apple', a Tribute to René Magritte-
    142 - September 13 2022         		The smooth integers
    143 - September 06 2022         		Untitled 0604 -a Tribute to Yves Klein-
    144 - 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
    145 - September 04 2022
    The Satanic Verses -a Tribute to Salman Rushdie-
    146 - 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-
    147 - May 11 2005         		Bidimensional display of 31 Rational Numbers by means of the Stern-Brocot Tree
    148 - August 05 2022         		Bidimensional display of 255 Rational Numbers by means of the Stern-Brocot Tree
    149 - August 04 2022         		Untitled 0601 -a Tribute to Jean-Michel Atlan-
    150 - July 26 2022
    Untitled 0600 -a Tribute to Jean Arp-
    151 - July 21 2022         		Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
    152 - July 19 2022         		Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
    153 - July 19 2022         		Untitled 0599 -a Tribute to Robert & Sonia Delaunay-
    154 - 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
    155 - June 22 2022
    The Road to Chaos -06/19/2022-
    156 - June 21 2022         		The Road to Chaos -06/19/2022-
    157 - 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
    158 - June 18 2022         		Distorsion of the Bonan-Jeener-Klein triple bottle
    159 - June 15 2022         		Untitled 0597
    160 - June 14 2022
    The 'hyperbolic tangent' of a sphere
    161 - June 10 2022         		The 'tangent' of a sphere
    162 - June 10 2022         		The 'hyperbolic tangent' of a sphere
    163 - June 10 2022         		The 'tangent' of a sphere
    164 - June 10 2022         		Distorsion of the Möbius strip
    165 - June 06 2022
    Distorsion of the Möbius strip
    166 - June 06 2022         		Distorsion of the Bonan-Jeener-Klein double bottle
    167 - June 06 2022         		Distorsion of a sphere
    168 - June 05 2022         		Distorsion of the Bonan-Jeener-Klein double bottle
    169 - June 03 2022         		Distorsion of a sphere
    170 - June 03 2022
    Distorsion of the Menger Sponge -iteration 3-
    171 - May 31 2022         		The Radical of the integer numbers from 2 to 257
    172 - May 27 2022         		A tridimensional billiard starting with a Menger Sponge -iteration 2-
    173 - May 25 2022         		Untitled 0596
    174 - May 24 2022         		A Tridimensional Hilbert-like Curve defined with {X3(...),Y3(...),Z3(...)} and based on an 'open' 7-foil torus knot -iteration 3-
    175 - May 17 2022
    A Tridimensional Hilbert-like Curve defined with {X3(...),Y3(...),Z3(...)} and based on an 'open' 5-foil torus knot -iteration 3-
    176 - May 17 2022         		A Tridimensional Hilbert-like Curve defined with {X3(...),Y3(...),Z3(...)} and based on an 'open' 3-foil torus knot -iteration 3-
    177 - May 16 2022         		A Tribute to Piet Mondrian and to David Hilbert
    178 - May 04 2022         		A Tridimensional Hilbert-like Curve defined with {X2(...),Y2(...),Z2(...)} and based on an 'open' 3-foil torus knot -iteration 2-
    179 - April 30 2022         		A Tridimensional Hilbert-like Curve defined with {X3(...),Y3(...),Z3(...)} and based on an 'open' 3-foil torus knot -iteration 3-
    180 - April 29 2022
    A Tridimensional Hilbert-like Curve defined with {X3(...),Y3(...),Z3(...)} -iteration 3-
    181 - April 26 2022         		A Bidimensional Hilbert-like Curve defined with {X5(...),Y5(...)} -iteration 5-
    182 - April 29 2022         		A Bidimensional Hilbert-like Curve defined with {X5(...),Y5(...)} -iteration 5-
    183 - April 16 2022         		David versus Goliath: there is a war between Ukraine and Russia
    184 - April 10 2022         		David versus Goliath: there is a war between Ukraine and Russia
    185 - April 11 2022
    The Tridimensional [0,1] --> [0,1]x[0,1]x[0,1] Peano Surjection -T defined with 9 digits-
    186 - April 08 2022         		The [0,1] --> [0,1]x[0,1] Peano Surjection -T defined with 6 digits-
    187 - March 24 2022         		Spring Time in Monument Valley
    188 - March 21 2022         		Bidimensional Hilbert Curve -iteration 5-
    189 - March 16 2022         		Tridimensional Hilbert Curve -iteration 4-
    190 - March 17 2022
    The distance {Earth-Mars} -millions of kilometers- starting on 01/01/1950 AD and during seven marsian years
    191 - February 26 2022         		This is not a cloud
    192 - February 25 2022         		This is not a cloud
    193 - February 25 2022         		'Organic' network -64 nodes-
    194 - February 18 2022         		A Tribute to Sandro Botticelli
    195 - February 16 2022
    Jigsaw puzzle with a self-Portrait
    196 - January 22 2022         		Random mosaic
    197 - January 21 2022         		Paradoxal Monument Valley at sunset
    198 - January 14 2022         		Monument Valley
    199 - 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-
    200 - January 09 2022
    The 8188 first prime numbers starting at 11 computed modulo 7 and displayed as an 'absolute' tridimensional random walk
    201 - January 08 2022         		The 8192 first prime numbers displayed modulo the 16 smallest ones -ramdom walk like trajectories-
    202 - January 07 2022         		The 128 first prime numbers displayed modulo the 16 smallest ones -spiral like trajectories-
    203 - January 04 2022         		Impressionist tridimensional self-Portrait
    204 - December 23 2021         		Untitled 0382
    205 - December 20 2021
    The abelian -commutative- group defined on elliptic curves
    206 - September 18 2013         		Coalescence of 40832 particles -black holes?- inside a tridimensional parallelepipedic billiard with display of the dynamics of the mass histogram
    207 - November 30 2021         		Untitled 0381
    208 - November 19 2021         		Coalescence of 40832 particles -black holes?- inside a tridimensional parallelepipedic billiard
    209 - November 19 2021         		Coalescence of 40832 particles -black holes?- inside a tridimensional parallelepipedic billiard
    210 - November 18 2021
    Untitled 0372 -a Tribute to Piet Mondrian and to Ernö Rubik-
    211 - November 15 2021         		Apple Blossoms -a Tribute to Piet Mondrian and to Ernö Rubik-
    212 - November 15 2021         		Coalescence of 972 particles -black holes?- on a bidimensional rectangular billiard
    213 - November 17 2021         		The distances {Sun-Jupiter,Sun-Saturn,Sun-Uranus,Sun-Neptune} during one neptunian year
    214 - November 12 2021         		An aperiodic Penrose tiling of the plane -the extended paradoxal demoniac Rubik's Cube-
    215 - November 07 2021
    The numerical irreversibility of the bidimensional billiard -1376 particles-
    216 - November 05 2021         		The numerical reversibility of the bidimensional billiard -192 particles-
    217 - November 05 2021         		A medium with percolation -top to bottom- using the 8-connexity
    218 - November 03 2021         		Untitled 0380
    219 - November 01 2021         		A medium with percolation -top to bottom- using the 4-connexity
    220 - November 01 2021
    The Syracuse conjecture for U(0)={5,6,7,8,...,260} -'pseudo-ramdom walk' display: 'The Syracuse Supernova'-
    221 - October 29 2021         		Impressionist view of the magical forest
    222 - October 25 2021         		Impressionist view of the Menger Sponge -iteration 5-
    223 - October 25 2021         		Impressionist view of the Jeener hypocycloidal snail
    224 - October 25 2021         		Impressionist view of a tridimensional fractal manifold defined by means of three tridimensional fields
    225 - October 25 2021
    The construction process of an aperiodic Penrose tiling -a zoom in on the aperiodic Penrose tiling-
    226 - 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-
    227 - October 21 2021         		Visualization of the Newton's method when computing the roots of Z^8=1
    228 - 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-
    229 - 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-
    230 - October 04 2021
    How to compute 'pi' with a gun
    231 - September 08 2021         		The configuration entropy of a set of n=64 particles
    232 - August 20 2021         		Tridimensional high resolution visualization of an extended Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
    233 - August 18 2021         		Tridimensional high resolution visualization of an extended Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
    234 - August 18 2021         		Tridimensional high resolution visualization of an extended Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
    235 - August 17 2021
    Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
    236 - August 14 2021         		Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
    237 - August 13 2021         		A twisted Menger Sponge -iteration 5-
    238 - August 12 2021         		Untitled 0379
    239 - July 16 2021         		Jean-François COLONNA
    240 - July 13 2021
    'Le bouquet tout fait' -a Tribute to René Magritte and Sandro Botticelli-
    241 - July 06 2021         		The Syracuse conjecture for U(0)={5,6,7,8,...,20} -tridimensional display-
    242 - July 06 2021         		The Syracuse conjecture for U(0)={5,6,7,8,...,20} -bidimensional display-
    243 - July 06 2021         		Light clouds
    244 - July 05 2021         		Untitled 0378
    245 - July 02 2021
    Untitled 0377
    246 - July 01 2021         		Untitled 0376
    247 - July 01 2021         		Untitled 0375
    248 - June 23 2021         		Ducks and friends
    249 - June 22 2021         		Untitled 0374
    250 - June 22 2021
    Apple Blossoms -a Tribute to Piet Mondrian-
    251 - June 16 2021         		The first two iterations of the construction of the Minkowski curve
    252 - June 14 2021         		Untitled 0373
    253 - June 07 2021         		Untitled 0381 -a Tribute to Piet Mondrian-
    254 - June 07 2021         		A strange and noisy self-portrait with a very simple luminance
    255 - June 01 2021
    Apple Blossoms -a Tribute to Piet Mondrian-
    256 - June 02 2021         		A strange and noisy picture with a very simple luminance
    257 - May 23 2021         		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
    258 - May 04 2021         		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
    259 - May 01 2021         		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
    260 - May 01 2021
    A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
    261 - May 01 2021         		Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
    262 - May 24 2019         		The Master of the Universe
    263 - April 15 2021         		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
    264 - April 06 2021         		Composition sans objet numéro 61 -a Tribute to Alexander Rodtchenko-
    265 - April 07 2021
    Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
    266 - April 07 2021         		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
    267 - April 07 2021         		Bidimensional cross-sections inside a fractal structure
    268 - March 18 2021         		Bidimensional cross-sections inside a fractal structure
    269 - March 18 2021         		Bidimensional zoom in on the Mandelbrot set
    270 - March 17 2021
    Untitled 0369
    271 - March 05 2021         		The seven first bifurcation levels (over fifteen)of the human lung tree
    272 - March 05 2021         		A pseudo-octonionic Mandelbrot set -tridimensional cross-section-
    273 - 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-
    274 - February 20 2021         		A pseudo-octonionic Mandelbrot set -tridimensional cross-section-
    275 - 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-
    276 - 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-
    277 - February 16 2021         		A pseudo-octonionic Mandelbrot set -tridimensional cross-section-
    278 - February 16 2021         		Foggy 'anti-island'
    279 - February 11 2002         		Foggy island
    280 - February 10 2002
    Untitled 0368
    281 - January 22 2021         		Untitled 0367 -with an illusion of depth (the red seems to be in the foreground and the blue in the background)-
    282 - January 22 2021         		Untitled 0362
    283 - January 20 2021         		Cormorant
    284 - January 19 2021         		Erosion of a bidimensional random (with large scale correlations)island
    285 - January 18 2002
    Untitled 0361
    286 - January 12 2021         		Cauliflowers, seaweeds, shells,...
    287 - January 19 1993         		Mountains and light cloud dynamics -this sequence being periodical-
    288 - June 24 1996         		Foggy 'anti-seaboard'
    289 - March 27 2002         		Foggy seaboard
    290 - March 27 2002
    Bidimensional rectangular billiard
    291 - July 07 1998         		The distances Sun-Earth-Jupiter-Saturn-Uranus-Neptune during one neptunian year
    292 - January 05 2021         		Untitled 0359
    293 - December 28 2020         		Untitled 0358
    294 - December 25 2020         		Untitled 0354
    295 - December 23 2020
    Untitled 0352
    296 - December 22 2020         		Untitled 0351
    297 - December 20 2020         		Untitled 0349
    298 - December 16 2020         		Untitled 0348
    299 - December 09 2020         		Untitled 0347
    300 - December 04 2020
    Some of the most beautiful fractal pictures
    301 - February 15 2018
    My fractals
    on YouTube         		Pegasus
    302 - November 26 2020         		Pterodactyl
    303 - November 25 2020         		A 'hyperbolic' Horner manifold 2 of the first degree
    304 - November 23 2020         		A 'hyperbolic' Horner manifold 1 of the first degree
    305 - November 23 2020
    A 'circular' Horner manifold of the first degree
    306 - November 22 2020         		A 'linear' Horner manifold of the third degree
    307 - November 21 2020         		A 'linear' Horner surface of the fourth degree
    308 - November 20 2020         		Fractal diffusion front in a bidimensional medium obtained by means of a random walk process (zoom in on the first steps)
    309 - November 17 2020         		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
    310 - November 14 2020
    Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
    311 - November 13 2020         		'Organic' network -64 nodes-
    312 - November 07 2020         		Complexity, Connectivity and Consciousness -4096 nodes-
    313 - November 02 2020         		Complexity, Connectivity and Consciousness -512 nodes-
    314 - November 01 2020         		Homogeneous meshing of a cube
    315 - November 01 2020
    Complexity, Connectivity and Consciousness -64 nodes-
    316 - October 31 2020         		A 'hyperbolic' Horner surface 2 of the second degree
    317 - October 17 2020         		A 'hyperbolic' Horner surface 1 of the second degree
    318 - October 16 2020         		A 'circular' Horner surface of the second degree
    319 - October 16 2020         		N-body problem integration (N=2)displaying a perfect Keplerian orbit (an ellipse)
    320 - October 12 1995
    Untitled 0346 -a Tribute to Vassily Kandinsky-
    321 - October 06 2020         		Untitled 0345 -a Tribute to Vassily Kandinsky-
    322 - October 06 2020         		Untitled 0344 -a Tribute to Vassily Kandinsky-
    323 - October 06 2020         		Untitled 0343
    324 - October 02 2020         		The Goldbach conjecture
    325 - 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
    326 - 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)-
    327 - 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-
    328 - 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-
    329 - September 04 2020         		The 50 first digits {7,1,8,2,8,1,8,2,8,4,...} of 'e' displayed on an helix -orange-
    330 - 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-
    331 - September 04 2020         		The 50 first digits {14...} of 'pi' displayed on an helix -orange-
    332 - September 04 2020         		The 1.000 first digits -base 10- of 'pi' displayed on an helix -good point of view-
    333 - December 17 2015         		The 2-17 first digits -base 10- of 'pi' displayed on a circle
    334 - August 16 2020         		Bidimensional cross-sections of the Klein bottle
    335 - August 10 2020
    Bidimensional cross-sections of the Jeener unilateral node
    336 - August 07 2020         		Bidimensional cross-sections of the Bonan-Jeener-Klein triple bottle
    337 - August 04 2020         		Bidimensional cross-sections of a cylinder
    338 - August 04 2020         		Tridimensional representation of our familiar tridimensional space
    339 - July 27 2020         		Magical forest
    340 - July 04 2020
    Computation of the roots of Z^8=1 using Newton's method
    341 - June 29 2020         		Computation of the roots of Z^3=1 using Newton's method
    342 - June 29 2020         		An elementary monodimensional binary cellular automaton -90- with 1 white starting point -bottom middle-
    343 - January 17 2003         		Sixty-four overlaped torus
    344 - June 19 2020         		Sixteen overlaped torus
    345 - June 14 2020
    Four overlaped torus
    346 - June 09 2020         		Untitled 0342
    347 - June 08 2020         		Untitled 0339
    348 - June 08 2020         		A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a torus
    349 - June 08 2020         		A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a torus
    350 - June 08 2020
    The Jeener twin bottles
    351 - June 09 2020         		Untitled 0341
    352 - May 30 2020         		Untitled 0338
    353 - May 30 2020         		A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
    354 - May 29 2020         		A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
    355 - May 29 2020
    The Bonan-Jeener double bottle
    356 - May 23 2020         		Untitled 0337
    357 - May 22 2020         		Untitled 0336
    358 - May 22 2020         		A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
    359 - May 22 2020         		A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
    360 - 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
    361 - October 14 1999         		Untitled 0335
    362 - May 12 2020         		Untitled 0334
    363 - May 12 2020         		A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
    364 - May 12 2020         		A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
    365 - May 12 2020
    Untitled 0333
    366 - May 11 2020         		Untitled 0332
    367 - May 11 2020         		A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
    368 - May 11 2020         		A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
    369 - May 11 2020         		The Jeener-Klein bottle loop 2
    370 - May 08 2020
    Artistic view of gravitational waves
    371 - May 04 2020         		Untitled 0322
    372 - April 30 2020         		A distorded -for the sake of display- 5-cube -an hyperhypercube-
    373 - April 30 2020         		Untitled 0331
    374 - April 27 2020         		Untitled 0330
    375 - April 27 2020
    A tridimensional intertwining made of the Menger Sponge -iteration 5- the Bonan-Jeener-Klein triple bottle
    376 - April 27 2020         		A tridimensional intertwining made of the Menger Sponge -iteration 5- the Bonan-Jeener-Klein triple bottle
    377 - April 27 2020         		Untitled 0325
    378 - April 23 2020         		Untitled 0324
    379 - April 23 2020         		A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
    380 - April 23 2020
    A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
    381 - April 23 2020         		A random tridimensional binary tree
    382 - April 23 2020         		A random tridimensional graph
    383 - April 23 2020         		Mathematics: an infinite pyramidal structure built on a few axioms
    384 - April 23 2020         		Untitled 0323
    385 - April 20 2020
    Untitled 0329
    386 - April 20 2020         		A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
    387 - April 20 2020         		A tridimensional intertwining made of a random tridimensional binary tree inside a sphere
    388 - April 20 2020         		A random tridimensional binary tree
    389 - April 20 2020         		Untitled 0321
    390 - April 17 2020
    The Jeener opera -10-Sydney-
    391 - April 15 2020         		The Jeener bud
    392 - April 14 2020         		The Simpson paradox
    393 - April 18 2013         		The Jeener-Klein bottle loop 1
    394 - April 08 2020         		The Jeener shell -2-
    395 - April 04 2020
    A 'crumpled' Jeener 'bulot' -a shell-
    396 - April 02 2020         		A 'crumpled' Jeener 'bulot' -a shell-
    397 - 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-
    398 - March 28 2020         		Untitled 0328
    399 - March 26 2020         		Untitled 0320
    400 - March 26 2020
    A tridimensional intertwining made of an extended Menger Sponge -iteration 5- inside a sphere
    401 - March 26 2020         		A tridimensional intertwining made of an extended Menger Sponge -iteration 5- inside a sphere
    402 - March 26 2020         		The Jeener waves -1-
    403 - 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-
    404 - 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-
    405 - 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-
    406 - 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-
    407 - May 11 2005         		The Jeener shell -1-
    408 - March 12 2020         		The Jeener hypocycloidal snail
    409 - March 11 2020         		A tridimensional intertwining made of a tridimensional cross-section inside a pseudo-octonionic Julia set inside a sphere
    410 - March 07 2020
    A tridimensional intertwining made of a tridimensional cross-section inside a pseudo-octonionic Julia set inside a sphere
    411 - March 07 2020         		Untitled 0319
    412 - March 06 2020         		Untitled 0318
    413 - March 06 2020         		A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
    414 - March 06 2020         		A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
    415 - March 06 2020
    Untitled 0317
    416 - March 03 2020         		Untitled 0316
    417 - March 03 2020         		A tridimensional intertwining made of a tridimensional cubic mesh inside a sphere
    418 - March 03 2020         		A tridimensional intertwining made of a tridimensional cubic mesh inside a sphere
    419 - March 03 2020         		Untitled 0315
    420 - March 03 2020
    Untitled 0314
    421 - March 03 2020         		A tridimensional intertwining made of an amazing cross-section inside the Menger Sponge -iteration 5- inside a sphere
    422 - February 27 2020         		A tridimensional intertwining made of an amazing cross-section inside the Menger Sponge -iteration 5- inside a sphere
    423 - 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)-
    424 - February 27 2020         		The Jeener giant clam
    425 - February 26 2020
    The Jeener 'bulot' -a shell-
    426 - February 26 2020         		Untitled 0313
    427 - February 26 2020         		Untitled 0312
    428 - February 26 2020         		A tridimensional intertwining inside the Jeener triton
    429 - February 26 2020         		A tridimensional intertwining inside the Jeener triton
    430 - February 26 2020
    The Jeener triton
    431 - February 25 2020         		The Jeener nautilus
    432 - February 24 2020         		Untitled 0311
    433 - February 22 2020         		Untitled 0310
    434 - February 22 2020         		Untitled 0309
    435 - February 22 2020
    Untitled 0308
    436 - February 22 2020         		Untitled 0307 -with an illusion of depth (the red seems to be in the foreground and the blue in the background)-
    437 - February 22 2020         		Untitled 0306
    438 - February 22 2020         		The Jeener-Klein bottle 'epicycloidal' spiral
    439 - February 20 2020         		The Jeener-Klein bottle frieze
    440 - February 20 2020
    The Jeener-Klein bottle spiral
    441 - February 19 2020         		A tridimensional intertwining inside a Jeener intertwining
    442 - February 18 2020         		A tridimensional intertwining inside a Jeener intertwining
    443 - February 18 2020         		The Jeener intertwining
    444 - February 17 2020         		The Jeener toric node
    445 - February 13 2020
    The Jeener unilateral node
    446 - February 12 2020         		Untitled 0305
    447 - February 07 2020         		Untitled 0304
    448 - February 04 2020         		A tridimensional intertwining inside a 'tridimensional epicycloïdal' pseudo-torus
    449 - February 01 2020         		A tridimensional intertwining inside a 'tridimensional epicycloïdal' pseudo-torus
    450 - January 31 2020
    The journey of an Earth-like planet (green)in the Solar System -point of view of the virtual planet-
    451 - October 14 2017         		Fractal 'celestial body' based on a torus and a tridimensional intertwining inside the Bonan-Jeener-Klein triple bottle
    452 - January 26 2020         		A tridimensional intertwining inside the Bonan-Jeener-Klein triple bottle
    453 - February 01 2020         		A tridimensional intertwining inside the Bonan-Jeener-Klein triple bottle
    454 - January 26 2020         		Fractal 'celestial body' based on a torus and a tridimensional intertwining inside a torus
    455 - January 26 2020
    A tridimensional intertwining inside a torus
    456 - February 02 2020         		A tridimensional intertwining inside a torus
    457 - January 26 2020         		A tridimensional intertwining based on a sphere inside a sphere
    458 - January 23 2020         		A tridimensional intertwining based on the Bonan-Jeener-Klein triple bottle inside a sphere
    459 - January 26 2020         		Fractal 'celestial body' based on a torus and a tridimensional intertwining based on a sphere inside a sphere
    460 - 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
    461 - January 26 2020         		A 'recursive' -two iterations-' tridimensional intertwining inside a sphere
    462 - January 21 2020         		A 'recursive' -one iteration-' tridimensional intertwining inside a sphere
    463 - January 21 2020         		Fractal 'celestial body' based on a torus and a 'recursive' -two iterations-' tridimensional intertwining inside a sphere
    464 - January 21 2020         		Fractal 'celestial body' based on a torus and a 'recursive' -one iteration-' tridimensional intertwining inside a sphere
    465 - January 21 2020
    Fractal 'celestial body' based on a torus and a tridimensional intertwining inside a sphere
    466 - January 21 2020         		Fractal 'celestial body' based on a torus and a tridimensional intertwining inside a sphere
    467 - January 21 2020         		A tridimensional intertwining inside a sphere
    468 - January 20 2020         		A tridimensional intertwining inside a sphere
    469 - January 20 2020         		A tridimensional intertwining
    470 - January 09 2020
    A tridimensional intertwining
    471 - January 09 2020         		Untitled 0303
    472 - 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
    473 - 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-
    474 - December 26 2019         		The foggy Babel Pyramid
    475 - December 21 2019
    The actual relative sizes of the Solar System bodies
    476 - December 17 2019         		The quaternionic Mandelbrot set - using the pseudo-addition and the pseudo-multiplication in C- -tridimensional cross-section-
    477 - December 16 2019         		The quaternionic Mandelbrot set -tridimensional cross-section-
    478 - December 16 2019         		A color palette with an increasing luminance
    479 - December 07 2019         		A dying Borg starship on Pluto
    480 - December 06 2019
    The Cantor Triadic Set -iterations 0 to 5-
    481 - December 04 2019         		Untitled 0302
    482 - December 03 2019         		A tridimensional structure based on a 1/O conformal transformation in the pseudo-octonionic space -tridimensional cross-section-
    483 - December 03 2019         		A tridimensional structure based on a 1/O conformal transformation in the pseudo-octonionic space -tridimensional cross-section-
    484 - November 24 2019         		Fractal 'celestial body' based on a sphere with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
    485 - November 23 2019
    Fractal 'celestial body' based on a torus with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
    486 - November 23 2019         		Fractal 'celestial body' based on a sphere with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
    487 - November 22 2019         		The abelian -commutative- group defined on elliptic curves
    488 - September 18 2013         		A 'crumpled' sphere defined by means of three bidimensional fields
    489 - November 17 2019         		Untitled 0301
    490 - November 16 2019
    Multifractal mountains (bird's-eye view)
    491 - November 16 2019         		'Fractal set of ropes' based on a plane
    492 - November 09 2019         		A mixing -addition- of a sphere and of a 'thick' helix defined by means of three bidimensional fields
    493 - October 29 2019         		Fractal 'celestial body' based on a sphere with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
    494 - October 19 2019         		Fractal 'celestial body' based on a sphere with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
    495 - October 19 2019
    Untitled 0300
    496 - October 18 2019         		Fractal 'celestial body' based on a torus
    497 - October 17 2019         		Fractal 'celestial body' based on a sphere
    498 - October 15 2019         		The Schaeffer bijection
    499 - June 29 2015         		Dynamical tridimensional fractal structure
    500 - October 08 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.