Gallery (501 different pictures):

The 500 Most Recent Pictures on display on Wednesday February 28 2024

[Galerie (501 images différentes) : Les 500 Images les plus récemment mises en exposition à la date du Mercredi 28 Février 2024]






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 9732) on 02/28/2024 [Les 500 Images mises en exposition le plus récemment (parmi 9732) le 28/02/2024]:
  • (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])

  • Tridimensional display of an Archimedes spiral displaying 'pi' with 50 digits -base 10-.
  • The 100 first digits {1,4,1,5,9,2,6,5,3,5,...} of 'pi' displayed on an helix -grey-.
  • Artistic view of the 100.000 first digits -base 10- of 'pi'.
  • The 128.508 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk.
  • Tridimensional display of a Fractal Square -iteration 1 to 3-.
  • Untitled 0625.
  • The Spectre.
  • The genesis of the 'EinStein' aperiodic 'Spectre' tile -top right-.
  • Untitled 0624.
  • 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).
  • Untitled 0623.
  • Merry Christmas 2023: A Fractal Cube -iteration 2-.
  • A Fractal Cube: an extended Menger Sponge -iteration 1-.
  • Untitled 0622.
  • Untitled 0621.
  • A Tribute to Maria Callas.
  • The 21 connected components of a Fractal Cube -iteration 1-.
  • The 94 connected components of a Fractal Square -iteration 4-.
  • Tridimensional display of a Fractal Square -iteration 1 to 3-.
  • Tridimensional display of the Mandelbrot Set obtained by means of a bidimensional Fractal Square -iteration 1 to 3-.
  • Tridimensional display of a Fractal Square -iteration 1 to 5-.
  • Tridimensional display of a Fractal Square -iteration 1 to 5-.
  • Tridimensional display of a Fractal Square -iteration 1 to 5-.
  • A Fractal Cube -iteration 2-.
  • A Fractal Cube -iteration 2-.
  • A Fractal Cube -iteration 2-.
  • A 'crumpled' close-up of the 'EinStein' aperiodic 'Spectre' tiling.
  • Untitled 0619.
  • An Impossible Peace.
  • An Impossible Peace.
  • The Mystic Island based on the level 3 cluster made of 8 'Spectre' level 2 clusters.
  • 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).
  • 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).
  • 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).
  • The 'Mystic' made of two 'EinStein' aperiodic 'Spectre' tiles.
  • Untitled 0618.
  • Tridimensional display of the 'EinStein' aperiodic 'Spectre' tiling.
  • 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.
  • 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.
  • A random tiling of a square domain using dominoes (1x2 rectangles) -line after line-.
  • A close-up of the 'EinStein' aperiodic 'Spectre' tiling.
  • A Ball described by means of a Tridimensional Hilbert-like Curve -iteration 4-.
  • A Ball described by means of an 'open' 3-foil torus knot -iteration 4-.
  • A Ball described by means of a Tridimensional Hilbert Curve -iteration 4-.
  • The Klein bottle described by means of a Bidimensional non continous Hilbert-like Curve -iteration 5-.
  • Untitled 0617.
  • The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 5-.
  • A Ball described by means of an hypercube -iteration 4-.
  • The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 7-.
  • A Tridimensional Hilbert-like Curve defined with {X2(...),Y2(...),Z2(...)} -iteration 2-.
  • The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 5-.
  • The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 5-.
  • Some elementary symbols used to built labyrinths -with a big black ghost structure at pi/4-.
  • The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 6-.
  • A 'fractal plane' with overhangings described by means of a Bidimensional Hilbert-like Curve -iteration 6-.
  • A Bidimensional Hilbert-like Curve defined with {X1(...),Y1(...)} related to the Mandelbrot set border -iteration 5-.
  • A 'fractal plane' with overhangings described by means of a Bidimensional Hilbert Curve -iteration 7-.
  • A 'crumpled' sphere described by means of a Bidimensional Hilbert Curve -iteration 7-.
  • Untitled 0616.
  • Untitled 0615.
  • Untitled 0614.
  • Tridimensional representation of a quadridimensional Calabi-Yau manifold described by means of 5x5 Bidimensional Hilbert Curves -iteration 5-.
  • Untitled 0613.
  • Untitled 0612.
  • The Piet Mondrian quadridimensional Calabi-Yau manifold -2D, 3D or 4D?-.
  • The Piet Mondrian Hypercube -2D, 3D or 4D?-.
  • Tridimensional representation of an hexadecadimensional Calabi-Yau manifold with pseudo-random projection.
  • Untitled 0611.
  • 5x5 various bidimensional closed self-avoiding brownian motions on a tridimensional representation of a quadridimensional Calabi-Yau manifold.
  • 5x5 identical bidimensional closed self-avoiding brownian motions on a tridimensional representation of a quadridimensional Calabi-Yau manifold.
  • Untitled 0610.
  • Untitled 0609.
  • Tridimensional representation of an octodimensional Calabi-Yau manifold with pseudo-random projection.
  • Tridimensional representation of an octodimensional Calabi-Yau manifold with pseudo-random projection.
  • Tridimensional representation of a quadridimensional Calabi-Yau manifold described by means of 5x5 Bidimensional Hilbert Curves -iteration 5-.
  • A parallelepipedic Torus described by means of an 'open' 3-foil torus knot -iteration 4-.
  • A Jeener-Möbius Tridimensional manifold described by means of an 'open' 3-foil torus knot -iteration 4-.
  • A Jeener-Möbius Tridimensional manifold described by means of a Tridimensional Hilbert Curve -iteration 4-.
  • A 'square' spiral on the Boy surface.
  • A 'square' spiral on the Bonan-Jeener-Klein triple bottle.
  • A 'square' spiral on the Klein bottle.
  • Untitled 0608.
  • Bidimensional closed pseudo-self-avoiding brownian motion on the Boy surface.
  • Bidimensional closed pseudo-self-avoiding brownian motion on the Bonan-Jeener-Klein triple bottle.
  • Bidimensional closed self-avoiding brownian motion on a torus.
  • Bidimensional closed pseudo-self-avoiding brownian motion on the Klein bottle.
  • Bidimensional closed self-avoiding brownian motion on a sphere.
  • Bidimensional brownian motion on the Klein bottle.
  • Bidimensional brownian motion on a sphere.
  • Untitled 0606.
  • Untitled 0607.
  • The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 6-.
  • The Klein bottle described by means of a Bidimensional Hilbert Curve -iteration 7-.
  • The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 6-.
  • The Klein bottle described by means of a Bidimensional Hilbert Curve -iteration 7-.
  • The Möbius strip described by means of a Bidimensional Peano Curve -8 digits-.
  • The Bonan-Jeener double bottle described by means of a Bidimensional Hilbert-like Curve -iteration 6-.
  • A torus described by means of a Bidimensional Peano Curve -8 digits-.
  • Self-Portrait by means of a Bidimensional Hilbert Curve -iteration 6-.
  • Self-Portrait by means of a Bidimensional Hilbert Curve -iteration 6-.
  • A parallelepipedic Torus described by means of a Tridimensional Hilbert Curve -iteration 4-.
  • A Jeener-Möbius Tridimensional manifold described by means of a Tridimensional Hilbert Curve -iteration 4-.
  • The Bonan-Jeener double bottle described by means of a Bidimensional Hilbert Curve -iteration 7-.
  • A torus described by means of a Bidimensional Hilbert Curve -iteration 7-.
  • A sphere described by means of a Bidimensional Hilbert Curve -iteration 7-.
  • A tribute to Sandro Botticelli and Victor Vasarely-.
  • Journey on the Complex Plane by means of a Bidimensional Hilbert Curve -iteration 2- with display of Julia sets.
  • A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments.
  • A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments.
  • A Tridimensional Tribute to Sandro Botticelli.
  • Untitled 0605.
  • The prime numbers among the 512 first integer numbers on a Tridimensional Hilbert Curve -iteration 3-.
  • The prime numbers among the 1024 first integer numbers on a Bidimensional Hilbert Curve -iteration 5-.
  • The 512 first digits -base 10- of 'pi' on a Tridimensional Hilbert Curve -iteration 3-.
  • The 1024 first digits -base 10- of 'pi' on a Bidimensional Hilbert Curve -iteration 5-.
  • The Node, Rama Revealed -a Tribute to Arthur C. Clarke and Gentry Lee-.
  • N-body problem integration (N=5) displaying four planets with symmetrical initial conditions on elliptic trajectories -'geocentric' point of view, green body-.
  • The Node, The Garden of Rama -a Tribute to Arthur C. Clarke and Gentry Lee-.
  • The K-smooth integers on a Tridimensional Hilbert Curve -iteration 3-.
  • The K-smooth integers on a Bidimensional Hilbert Curve -iteration 5-.
  • The K-smooth integers on a generalized Ulam spiral.
  • The 2/3/5/7-smooth integers on a generalized Ulam spiral.
  • The smooth integers: the prime factor product -the radical function- of the integer numbers.
  • Self-Portrait -'This is not an apple', a Tribute to René Magritte-.
  • The smooth integers.
  • Untitled 0604 -a Tribute to Yves Klein-.
  • Bidimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to a vertical field of gravity.
  • The Satanic Verses -a Tribute to Salman Rushdie-.
  • 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-.
  • Bidimensional display of 31 Rational Numbers by means of the Stern-Brocot Tree.
  • Bidimensional display of 255 Rational Numbers by means of the Stern-Brocot Tree.
  • Untitled 0601 -a Tribute to Jean-Michel Atlan-.
  • Untitled 0600 -a Tribute to Jean Arp-.
  • Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-.
  • Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-.
  • Untitled 0599 -a Tribute to Robert & Sonia Delaunay-.
  • Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity.
  • The Road to Chaos -06/19/2022-.
  • The Road to Chaos -06/19/2022-.
  • Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity.
  • Distorsion of the Bonan-Jeener-Klein triple bottle.
  • Untitled 0597.
  • The 'hyperbolic tangent' of a sphere.
  • The 'tangent' of a sphere.
  • The 'hyperbolic tangent' of a sphere.
  • The 'tangent' of a sphere.
  • Distorsion of the Möbius strip.
  • Distorsion of the Möbius strip.
  • Distorsion of the Bonan-Jeener-Klein double bottle.
  • Distorsion of a sphere.
  • Distorsion of the Bonan-Jeener-Klein double bottle.
  • Distorsion of a sphere.
  • Distorsion of the Menger Sponge -iteration 3-.
  • The Radical of the integer numbers from 2 to 257.
  • A tridimensional billiard starting with a Menger Sponge -iteration 2-.
  • Untitled 0596.
  • A Tridimensional Hilbert-like Curve defined with {X3(...),Y3(...),Z3(...)} and based on an 'open' 7-foil torus knot -iteration 3-.
  • A Tridimensional Hilbert-like Curve defined with {X3(...),Y3(...),Z3(...)} and based on an 'open' 5-foil torus knot -iteration 3-.
  • A Tridimensional Hilbert-like Curve defined with {X3(...),Y3(...),Z3(...)} and based on an 'open' 3-foil torus knot -iteration 3-.
  • A Tribute to Piet Mondrian and to David Hilbert.
  • A Tridimensional Hilbert-like Curve defined with {X2(...),Y2(...),Z2(...)} and based on an 'open' 3-foil torus knot -iteration 2-.
  • A Tridimensional Hilbert-like Curve defined with {X3(...),Y3(...),Z3(...)} and based on an 'open' 3-foil torus knot -iteration 3-.
  • A Tridimensional Hilbert-like Curve defined with {X3(...),Y3(...),Z3(...)} -iteration 3-.
  • A Bidimensional Hilbert-like Curve defined with {X5(...),Y5(...)} -iteration 5-.
  • A Bidimensional Hilbert-like Curve defined with {X5(...),Y5(...)} -iteration 5-.
  • David versus Goliath: there is a war between Ukraine and Russia.
  • David versus Goliath: there is a war between Ukraine and Russia.
  • The Tridimensional [0,1] --> [0,1]x[0,1]x[0,1] Peano Surjection -T defined with 9 digits-.
  • The [0,1] --> [0,1]x[0,1] Peano Surjection -T defined with 6 digits-.
  • Spring Time in Monument Valley.
  • Bidimensional Hilbert Curve -iteration 5-.
  • Tridimensional Hilbert Curve -iteration 4-.
  • The distance {Earth-Mars} -millions of kilometers- starting on 01/01/1950 AD and during seven marsian years.
  • This is not a cloud.
  • This is not a cloud.
  • 'Organic' network -64 nodes-.
  • A Tribute to Sandro Botticelli.
  • Jigsaw puzzle with a self-Portrait.
  • Random mosaic.
  • Paradoxal Monument Valley at sunset.
  • Monument Valley.
  • 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-.
  • The 8188 first prime numbers starting at 11 computed modulo 7 and displayed as an 'absolute' tridimensional random walk.
  • The 8192 first prime numbers displayed modulo the 16 smallest ones -ramdom walk like trajectories-.
  • The 128 first prime numbers displayed modulo the 16 smallest ones -spiral like trajectories-.
  • Impressionist tridimensional self-Portrait.
  • Untitled 0382.
  • The abelian -commutative- group defined on elliptic curves.
  • Coalescence of 40832 particles -black holes?- inside a tridimensional parallelepipedic billiard with display of the dynamics of the mass histogram.
  • Untitled 0381.
  • Coalescence of 40832 particles -black holes?- inside a tridimensional parallelepipedic billiard.
  • Coalescence of 40832 particles -black holes?- inside a tridimensional parallelepipedic billiard.
  • Untitled 0372 -a Tribute to Piet Mondrian and to Ernö Rubik-.
  • Apple Blossoms -a Tribute to Piet Mondrian and to Ernö Rubik-.
  • Coalescence of 972 particles -black holes?- on a bidimensional rectangular billiard.
  • The distances {Sun-Jupiter,Sun-Saturn,Sun-Uranus,Sun-Neptune} during one neptunian year.
  • An aperiodic Penrose tiling of the plane -the extended paradoxal demoniac Rubik's Cube-.
  • The numerical irreversibility of the bidimensional billiard -1376 particles-.
  • The numerical reversibility of the bidimensional billiard -192 particles-.
  • A medium with percolation -top to bottom- using the 8-connexity.
  • Untitled 0380.
  • A medium with percolation -top to bottom- using the 4-connexity.
  • The Syracuse conjecture for U(0)={5,6,7,8,...,260} -'pseudo-ramdom walk' display: 'The Syracuse Supernova'-.
  • Impressionist view of the magical forest.
  • Impressionist view of the Menger Sponge -iteration 5-.
  • Impressionist view of the Jeener hypocycloidal snail.
  • Impressionist view of a tridimensional fractal manifold defined by means of three tridimensional fields.
  • The construction process of an aperiodic Penrose tiling -a zoom in on the aperiodic Penrose tiling-.
  • The quaternionic fractal set obtained when computing the roots of Q8=1 using Newton's method with translation along the third axis of the quaternionic space -tridimensional cross-section-.
  • Visualization of the Newton's method when computing the roots of Z8=1.
  • 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-.
  • 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-.
  • How to compute 'pi' with a gun.
  • The configuration entropy of a set of n=64 particles.
  • Tridimensional high resolution visualization of an extended Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-.
  • Tridimensional high resolution visualization of an extended Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-.
  • Tridimensional high resolution visualization of an extended Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-.
  • Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-.
  • Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-.
  • A twisted Menger Sponge -iteration 5-.
  • Untitled 0379.
  • Jean-François COLONNA.
  • 'Le bouquet tout fait' -a Tribute to René Magritte and Sandro Botticelli-.
  • The Syracuse conjecture for U(0)={5,6,7,8,...,20} -tridimensional display-.
  • The Syracuse conjecture for U(0)={5,6,7,8,...,20} -bidimensional display-.
  • Light clouds.
  • Untitled 0378.
  • Untitled 0377.
  • Untitled 0376.
  • Untitled 0375.
  • Ducks and friends.
  • Untitled 0374.
  • Apple Blossoms -a Tribute to Piet Mondrian-.
  • The first two iterations of the construction of the Minkowski curve.
  • Untitled 0373.
  • Untitled 0381 -a Tribute to Piet Mondrian-.
  • A strange and noisy self-portrait with a very simple luminance.
  • Apple Blossoms -a Tribute to Piet Mondrian-.
  • A strange and noisy picture with a very simple luminance.
  • Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb') -tridimensional cross-section-.
  • Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb') -tridimensional cross-section-.
  • Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb') -tridimensional cross-section-.
  • A pseudo-octonionic Mandelbrot set (a 'MandelBulb') -tridimensional cross-section-.
  • Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-.
  • The Master of the Universe.
  • Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb') -tridimensional cross-section-.
  • Composition sans objet numéro 61 -a Tribute to Alexander Rodtchenko-.
  • Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb') -tridimensional cross-section-.
  • A pseudo-octonionic Mandelbrot set (a 'MandelBulb') -tridimensional cross-section-.
  • Bidimensional cross-sections inside a fractal structure.
  • Bidimensional cross-sections inside a fractal structure.
  • Bidimensional zoom in on the Mandelbrot set.
  • Untitled 0369.
  • The seven first bifurcation levels (over fifteen) of the human lung tree.
  • A pseudo-octonionic Mandelbrot set -tridimensional cross-section-.
  • Close-up on a foggy pseudo-octonionic Mandelbrot set with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-.
  • A pseudo-octonionic Mandelbrot set -tridimensional cross-section-.
  • Close-up on a foggy pseudo-octonionic Mandelbrot set with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-.
  • Close-up on a foggy pseudo-octonionic Mandelbrot set with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-.
  • A pseudo-octonionic Mandelbrot set -tridimensional cross-section-.
  • Foggy 'anti-island'.
  • Foggy island.
  • Untitled 0368.
  • Untitled 0367 -with an illusion of depth (the red seems to be in the foreground and the blue in the background)-.
  • Untitled 0362.
  • Cormorant.
  • Erosion of a bidimensional random (with large scale correlations) island.
  • Untitled 0361.
  • Cauliflowers, seaweeds, shells,....
  • Mountains and light cloud dynamics -this sequence being periodical-.
  • Foggy 'anti-seaboard'.
  • Foggy seaboard.
  • Bidimensional rectangular billiard.
  • The distances Sun-Earth-Jupiter-Saturn-Uranus-Neptune during one neptunian year.
  • Untitled 0359.
  • Untitled 0358.
  • Untitled 0354.
  • Untitled 0352.
  • Untitled 0351.
  • Untitled 0349.
  • Untitled 0348.
  • Untitled 0347.
  • Some of the most beautiful fractal pictures.

  • My fractals
    on YouTube
  • Pegasus.
  • Pterodactyl.
  • A 'hyperbolic' Horner manifold 2 of the first degree.
  • A 'hyperbolic' Horner manifold 1 of the first degree.
  • A 'circular' Horner manifold of the first degree.
  • A 'linear' Horner manifold of the third degree.
  • A 'linear' Horner surface of the fourth degree.
  • Fractal diffusion front in a bidimensional medium obtained by means of a random walk process (zoom in on the first steps).
  • Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-.
  • Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-.
  • 'Organic' network -64 nodes-.
  • Complexity, Connectivity and Consciousness -4096 nodes-.
  • Complexity, Connectivity and Consciousness -512 nodes-.
  • Homogeneous meshing of a cube.
  • Complexity, Connectivity and Consciousness -64 nodes-.
  • A 'hyperbolic' Horner surface 2 of the second degree.
  • A 'hyperbolic' Horner surface 1 of the second degree.
  • A 'circular' Horner surface of the second degree.
  • N-body problem integration (N=2) displaying a perfect Keplerian orbit (an ellipse).
  • Untitled 0346 -a Tribute to Vassily Kandinsky-.
  • Untitled 0345 -a Tribute to Vassily Kandinsky-.
  • Untitled 0344 -a Tribute to Vassily Kandinsky-.
  • Untitled 0343.
  • The Goldbach conjecture.
  • Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 1.083.984 galaxies) obtained by means of a non deterministic fractal process.
  • 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)-.
  • 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-.
  • The 50 first digits {6,1,8,0,3,3,9,8,8,7,...} of the golden ratio displayed on an helix -orange-.
  • The 50 first digits {7,1,8,2,8,1,8,2,8,4,...} of 'e' displayed on an helix -orange-.
  • The 50 first digits {1,2,3,4,5,6,7,8,9,1,...} of the Champernowne number displayed on an helix -orange-.
  • The 50 first digits {1,4,1,5,9,2,6,5,3,5,...} of 'pi' displayed on an helix -orange-.
  • The 1.000 first digits -base 10- of 'pi' displayed on an helix -good point of view-.
  • The 2-17 first digits -base 10- of 'pi' displayed on a circle.
  • Bidimensional cross-sections of the Klein bottle.
  • Bidimensional cross-sections of the Jeener unilateral node.
  • Bidimensional cross-sections of the Bonan-Jeener-Klein triple bottle.
  • Bidimensional cross-sections of a cylinder.
  • Tridimensional representation of our familiar tridimensional space.
  • Magical forest.
  • Computation of the roots of Z8=1 using Newton's method.
  • Computation of the roots of Z3=1 using Newton's method.
  • An elementary monodimensional binary cellular automaton -90- with 1 white starting point -bottom middle-.
  • Sixty-four overlaped torus.
  • Sixteen overlaped torus.
  • Four overlaped torus.
  • Untitled 0342.
  • Untitled 0339.
  • A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a torus.
  • A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a torus.
  • The Jeener twin bottles.
  • Untitled 0341.
  • Untitled 0338.
  • A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere.
  • A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere.
  • The Bonan-Jeener double bottle.
  • Untitled 0337.
  • Untitled 0336.
  • A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere.
  • A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere.
  • Hodographs -with display of a few velocity vectors- of 5 of the 9 planets of the Solar System during three plutonian years.
  • Untitled 0335.
  • Untitled 0334.
  • A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere.
  • A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere.
  • Untitled 0333.
  • Untitled 0332.
  • A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere.
  • A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere.
  • The Jeener-Klein bottle loop 2.
  • Artistic view of gravitational waves.
  • Untitled 0322.
  • A distorded -for the sake of display- 5-cube -an hyperhypercube-.
  • Untitled 0331.
  • Untitled 0330.
  • A tridimensional intertwining made of the Menger Sponge -iteration 5- the Bonan-Jeener-Klein triple bottle.
  • A tridimensional intertwining made of the Menger Sponge -iteration 5- the Bonan-Jeener-Klein triple bottle.
  • Untitled 0325.
  • Untitled 0324.
  • A tridimensional intertwining made of a random tridimensional binary tree inside a sphere.
  • A tridimensional intertwining made of a random tridimensional binary tree inside a sphere.
  • A random tridimensional binary tree.
  • A random tridimensional graph.
  • Mathematics: an infinite pyramidal structure built on a few axioms.
  • Untitled 0323.
  • Untitled 0329.
  • A tridimensional intertwining made of a random tridimensional binary tree inside a sphere.
  • A tridimensional intertwining made of a random tridimensional binary tree inside a sphere.
  • A random tridimensional binary tree.
  • Untitled 0321.
  • The Jeener opera -10-Sydney-.
  • The Jeener bud.
  • The Simpson paradox.
  • The Jeener-Klein bottle loop 1.
  • The Jeener shell -2-.
  • A 'crumpled' Jeener 'bulot' -a shell-.
  • A 'crumpled' Jeener 'bulot' -a shell-.
  • 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-.
  • Untitled 0328.
  • Untitled 0320.
  • A tridimensional intertwining made of an extended Menger Sponge -iteration 5- inside a sphere.
  • A tridimensional intertwining made of an extended Menger Sponge -iteration 5- inside a sphere.
  • The Jeener waves -1-.
  • 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-.
  • 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-.
  • 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-.
  • 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-.
  • The Jeener shell -1-.
  • The Jeener hypocycloidal snail.
  • A tridimensional intertwining made of a tridimensional cross-section inside a pseudo-octonionic Julia set inside a sphere.
  • A tridimensional intertwining made of a tridimensional cross-section inside a pseudo-octonionic Julia set inside a sphere.
  • Untitled 0319.
  • Untitled 0318.
  • A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere.
  • A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere.
  • Untitled 0317.
  • Untitled 0316.
  • A tridimensional intertwining made of a tridimensional cubic mesh inside a sphere.
  • A tridimensional intertwining made of a tridimensional cubic mesh inside a sphere.
  • Untitled 0315.
  • Untitled 0314.
  • A tridimensional intertwining made of an amazing cross-section inside the Menger Sponge -iteration 5- inside a sphere.
  • A tridimensional intertwining made of an amazing cross-section inside the Menger Sponge -iteration 5- inside a sphere.
  • 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)-.
  • The Jeener giant clam.
  • The Jeener 'bulot' -a shell-.
  • Untitled 0313.
  • Untitled 0312.
  • A tridimensional intertwining inside the Jeener triton.
  • A tridimensional intertwining inside the Jeener triton.
  • The Jeener triton.
  • The Jeener nautilus.
  • Untitled 0311.
  • Untitled 0310.
  • Untitled 0309.
  • Untitled 0308.
  • Untitled 0307 -with an illusion of depth (the red seems to be in the foreground and the blue in the background)-.
  • Untitled 0306.
  • The Jeener-Klein bottle 'epicycloidal' spiral.
  • The Jeener-Klein bottle frieze.
  • The Jeener-Klein bottle spiral.
  • A tridimensional intertwining inside a Jeener intertwining.
  • A tridimensional intertwining inside a Jeener intertwining.
  • The Jeener intertwining.
  • The Jeener toric node.
  • The Jeener unilateral node.
  • Untitled 0305.
  • Untitled 0304.
  • A tridimensional intertwining inside a 'tridimensional epicycloïdal' pseudo-torus.
  • A tridimensional intertwining inside a 'tridimensional epicycloïdal' pseudo-torus.
  • The journey of an Earth-like planet (green) in the Solar System -point of view of the virtual planet-.
  • Fractal 'celestial body' based on a torus and a tridimensional intertwining inside the Bonan-Jeener-Klein triple bottle.
  • A tridimensional intertwining inside the Bonan-Jeener-Klein triple bottle.
  • A tridimensional intertwining inside the Bonan-Jeener-Klein triple bottle.
  • Fractal 'celestial body' based on a torus and a tridimensional intertwining inside a torus.
  • A tridimensional intertwining inside a torus.
  • A tridimensional intertwining inside a torus.
  • A tridimensional intertwining based on a sphere inside a sphere.
  • A tridimensional intertwining based on the Bonan-Jeener-Klein triple bottle inside a sphere.
  • Fractal 'celestial body' based on a torus and a tridimensional intertwining based on a sphere inside a sphere.
  • Fractal 'celestial body' based on a torus and a tridimensional intertwining based on the Bonan-Jeener-Klein triple bottle inside a sphere.
  • A 'recursive' -two iterations-' tridimensional intertwining inside a sphere.
  • A 'recursive' -one iteration-' tridimensional intertwining inside a sphere.
  • Fractal 'celestial body' based on a torus and a 'recursive' -two iterations-' tridimensional intertwining inside a sphere.
  • Fractal 'celestial body' based on a torus and a 'recursive' -one iteration-' tridimensional intertwining inside a sphere.
  • Fractal 'celestial body' based on a torus and a tridimensional intertwining inside a sphere.
  • Fractal 'celestial body' based on a torus and a tridimensional intertwining inside a sphere.
  • A tridimensional intertwining inside a sphere.
  • A tridimensional intertwining inside a sphere.
  • A tridimensional intertwining.
  • A tridimensional intertwining.
  • Untitled 0303.
  • Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity.
  • Fractal 'celestial body' based on the Bonan-Jeener-Klein triple bottle with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-.
  • The foggy Babel Pyramid.
  • The actual relative sizes of the Solar System bodies.
  • The quaternionic Mandelbrot set - using the pseudo-addition and the pseudo-multiplication in C- -tridimensional cross-section-.
  • The quaternionic Mandelbrot set -tridimensional cross-section-.
  • A color palette with an increasing luminance.
  • A dying Borg starship on Pluto.
  • The Cantor Triadic Set -iterations 0 to 5-.
  • Untitled 0302.
  • A tridimensional structure based on a 1/O conformal transformation in the pseudo-octonionic space -tridimensional cross-section-.
  • A tridimensional structure based on a 1/O conformal transformation in the pseudo-octonionic space -tridimensional cross-section-.
  • Fractal 'celestial body' based on a sphere with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-.
  • Fractal 'celestial body' based on a torus with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-.
  • Fractal 'celestial body' based on a sphere with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-.
  • The abelian -commutative- group defined on elliptic curves.
  • A 'crumpled' sphere defined by means of three bidimensional fields.
  • Untitled 0301.
  • Multifractal mountains (bird's-eye view).
  • 'Fractal set of ropes' based on a plane.
  • A mixing -addition- of a sphere and of a 'thick' helix defined by means of three bidimensional fields.
  • Fractal 'celestial body' based on a sphere with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-.
  • Fractal 'celestial body' based on a sphere with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-.
  • Untitled 0300.
  • Fractal 'celestial body' based on a torus.
  • Fractal 'celestial body' based on a sphere.
  • The Schaeffer bijection.
  • Dynamical tridimensional fractal structure.
  • A simplified solar system including the Sun, Jupiter and a 'false' Pluto -Jupiter point of view-.
  • 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-.
  • 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-.
  • Dynamical mountains (bird's-eye view).
  • Tridimensional fractal structure.
  • 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-.
  • Tridimensional fractal structure.
  • Tridimensional fractal structure.
  • The erosion of an amazing cross-section inside the Menger Sponge -iteration 5-.
  • The erosion of the Menger Sponge -iteration 5-.
  • The erosion of a tridimensional structure made of six Golden Decagons with aperiodic Penrose tilings.
  • Untitled 0299.
  • A tridimensional structure made of six Golden Decagons with aperiodic Penrose tilings.
  • A tridimensional structure made of six Golden Decagons with aperiodic Penrose tilings.
  • An aperiodic Penrose tiling of the Golden Decagon with five hidden cubes.
  • The Continuum Hypothesis (CH) -an allegory-.
  • The Continuum Hypothesis (CH) -an allegory-.
  • The Continuum Hypothesis (CH).


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