Gallery:

The 500 Most Recent Pictures on display on Friday August 14 2020

[Galerie: Les 500 Images les plus récemment mises en exposition à la date du Vendredi 14 Août 2020]






Jean-François COLONNA

www.lactamme.polytechnique.fr

jean-francois.colonna@polytechnique.edu
CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, Ecole Polytechnique, CNRS, 91128 Palaiseau Cedex, France
france telecom, France Telecom R&D

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  • The 500 most recent pictures on display (among 8553) on 08/14/2020 [Les 500 Images mises en exposition le plus récemment (parmi 8553) le 14/08/2020]:
  • (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])

  • 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.
  • No Title 0339.
  • No Title 0338.
  • 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.
  • No Title 0339.
  • No Title 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.
  • No Title 0337.
  • No Title 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.
  • No Title 0335.
  • No Title 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.
  • No Title 0333.
  • No Title 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.
  • No Title 0322.
  • A distorded -for the sake of display- 5-cube -an hyperhypercube-.
  • No Title 0331.
  • No Title 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.
  • No Title 0325.
  • No Title 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.
  • No Title 0323.
  • No Title 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.
  • No Title 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-.
  • No Title 0328.
  • No Title 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 -315 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 -315 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.
  • No Title 0319.
  • No Title 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.
  • No Title 0317.
  • No Title 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.
  • No Title 0315.
  • No Title 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-.
  • No Title 0313.
  • No Title 0312.
  • A tridimensional intertwining inside the Jeener triton.
  • A tridimensional intertwining inside the Jeener triton.
  • The Jeener triton.
  • The Jeener nautilus.
  • No Title 0311.
  • No Title 0310.
  • No Title 0309.
  • No Title 0308.
  • No Title 0307 -with an illusion of depth (the red seems to be in the foreground and the blue in the background)-.
  • No Title 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.
  • No Title 0305.
  • No Title 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 'récursive' -two iterations-' tridimensional intertwining inside a sphere.
  • A 'récursive' -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.
  • No Title 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-.
  • No Title 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.
  • No Title 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-.
  • No Title 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 pseudo-periodical Penrose tilings.
  • No Title 0299.
  • A tridimensional structure made of six Golden Decagons with pseudo-periodical Penrose tilings.
  • A tridimensional structure made of six Golden Decagons with pseudo-periodical Penrose tilings.
  • A pseudo-periodical 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).
  • No Title 0298.
  • No Title 0297.
  • Tridimensional visualizations of the Verhulst dynamics.
  • A tribute to Sandro Botticelli.
  • A tribute to Sandro Botticelli.
  • Impossible structure.
  • Paradoxal structure -from Order to Disorder-.
  • Quadruple impossible staircase built by means of a paradoxal structure -a tribute to Maurits Cornelis Escher-.
  • Impossible structure.
  • Maurits Cornelis Escher meets Piet Mondrian.
  • Bidimensional self-Portrait -a tribute to Victor Vasarely-.
  • Tridimensional self-Portrait -a tribute to Victor Vasarely-.
  • Bidimensional self-Portrait -a tribute to Victor Vasarely-.
  • Intertwining based on the geometry of the Boy surface.
  • Intertwining based on the geometry of the Boy surface.
  • No Title 0295 -a tribute to Victor Vasarely.
  • No Title 0294 -a tribute to Victor Vasarely.
  • 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-.
  • No Title 0293 -a tribute to Pierre Soulages.
  • A blue sponge-tree -a tribute to Yves Klein-.
  • 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-.
  • Dissonance chaude/Dissonance froide -a tribute to Paul Sérusier-.
  • A new Rose for Notre-Dame de Paris.
  • Notre-Dame de Paris -a tribute-.
  • Notre-Dame de Paris on fire -the hell fire-.
  • Fractal Notre-Dame de Paris -a tribute-.
  • The Syracuse conjecture for U(0)={1,2,3,4,...,128} -monodimensional display of the parities-.
  • Zoom in on a pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb') computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-.
  • Zoom in on a pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb') computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) -tridimensional cross-section-.
  • Zoom in on a pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb') computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) -tridimensional cross-section-.
  • Zoom in on a pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb') computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) -tridimensional cross-section-.
  • Pseudo-octonionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-.
  • A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb') computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) and with a 0 to pi rotation about the X axis -tridimensional cross-section-.
  • Iterations in the complex plane: the computation of the Mandelbrot set.
  • The 130.643 first digits -base 6- of a random number displayed as an 'absolute' tridimensional random walk.
  • The 217.156 first digits -base 6- of a 'Champernowne number' like (=0.2 3 5 7 11 13 17 19 23 29 31 37 41...) -using all prime numbers- displayed as an 'absolute' tridimensional random walk.
  • No Title 0292.
  • The Jeener flower.
  • The interlaced hypocycloidal Jeener bottle.
  • The interlaced epicycloidal Jeener bottle.
  • The interlaced epicycloidal Jeener bottle.
  • The interlaced epicycloidal Jeener bottle.
  • No Title 0291.
  • Detail close-up of the quaternionic Julia set -degree=2- computed -pseudo-addition and pseudo-multiplication in C- with A=(-0.58...,+0.63...,0,0) and with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-.
  • Detail close-up of the quaternionic Julia set -degree=2- computed -pseudo-addition and pseudo-multiplication in C- with A=(-0.58...,+0.63...,0,0) -tridimensional cross-section-.
  • Tridimensional 'smooth' fractal surface with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-.
  • No Title 0290.
  • Intertwining.
  • Intertwining.
  • The Continuum Hypothesis (CH).
  • Artistic view of a sphere.
  • No Title 0289.
  • Artistic view of a 'tridimensional epicycloïdal' pseudo-torus.
  • Artistic view of the Jeener-Klein quintuple bottle.
  • Artistic view of the Klein bottle.
  • Artistic view of the Möbius strip.
  • No Title 0287.
  • The quaternionic Julia set -degree=2- computed -pseudo-addition and pseudo-multiplication in C- with A=(-0.58...,+0.63...,0,0) -tridimensional cross-section-.
  • Victor Vasarely meets Piet Mondrian.
  • Two bidimensional hexagonal networks with an angular shift of 1.1 degree.
  • The Jeener-Klein quintuple bottle with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-.
  • The Jeener-Klein quintuple bottle.
  • No Title 0286.
  • The quaternionic Julia set -degree=2- computed -pseudo-addition and pseudo-multiplication in C- with A=(-0.58...,+0.63...,0,0) -tridimensional cross-section-.
  • The quaternionic Julia set -degree=2- computed -pseudo-addition and pseudo-multiplication in C- with A=(-0.58...,+0.63...,0,0) -tridimensional cross-section-.
  • The quaternionic Julia set -degree=2- computed -pseudo-addition and pseudo-multiplication in C- with A=(-0.58...,+0.63...,0,0) -tridimensional cross-section-.
  • The quaternionic Julia set -degree=2- computed -pseudo-addition and pseudo-multiplication in C- with A=(-0.58...,+0.63...,0,0) -tridimensional cross-section-.
  • The quaternionic Julia set -degree=2- computed -pseudo-addition and pseudo-multiplication in C- with A=(-0.58...,+0.63...,0,0) -tridimensional cross-section-.
  • The quaternionic Julia set -degree=2- computed with A=(-0.58...,+0.63...,0,0) -tridimensional cross-section-.
  • No Title 0285.
  • Autostereogram of a quaternionic Julia set -tridimensional cross-section-.
  • The anniversary of CNRS.
  • No Title 0284.
  • Tridimensional display of the particle trajectories of bidimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity.
  • No Title 0283.
  • A sphere computed with the 'max-plus' arithmetic (maximum,addition).
  • No Title 0282.
  • No Title 0281.
  • No Title 0280.
  • No Title 0279.
  • No Title 0278.
  • 20 evenly distributed points on a sphere by means of simulated annealing.
  • A random permutation of pixel blocks of a Self-Portrait.
  • No Title 0277.
  • No Title 0276.
  • No Title 0275.
  • Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb') with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-.
  • A pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb') computed with A=(-0.58...,+0.63...,0,0) and with a rotation about the Y axis and with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-.
  • An extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-.
  • The intersection of the Menger sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-.
  • A 'conic' cross-section inside the Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-.
  • A 'conic' cross-section inside the Menger sponge -iteration 5-, 'O temps tes pyramides' -a tribute to Jorge Luis Borges-.
  • A 'double conic' cross-section inside the Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-.
  • A 'double conic' cross-section inside the Menger sponge -iteration 5-, 'O temps tes pyramides' -a tribute to Jorge Luis Borges-.
  • My own quadruple impossible staircase -a tribute to Maurits Cornelis Escher-.
  • A pseudo-periodical Penrose tiling of the plane -a tribute to Piet Mondrian and Roger Penrose-.
  • Light clouds at sunset.
  • Artistic view of an hexagonal tiling of the hyperbolic Poincaré disk -iteration 5-, -a tribute to Henri Poincaré-.
  • Quaternionic butterfly with extended arithmetics -a tribute to Laurent Schwartz-.
  • My own triple impossible staircase -a tribute to Maurits Cornelis Escher-.
  • From geocentrism to 'Neptune-centrism' -a tribute to Nicolas Copernic-.
  • The Scream -a Tribute to Edvard Munch-.
  • A 'pyramidal' cross-section inside the Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-, 'O temps tes pyramides' -a tribute to Jorge Luis Borges-.
  • A 'pyramidal' cross-section inside the Menger sponge -iteration 5-, 'O temps tes pyramides' -a tribute to Jorge Luis Borges-.
  • A random permutation of pixel blocks of a pseudo-periodical Penrose tiling of the plane.
  • A random permutation of pixel blocks of a bidimensional field.
  • No Title 0274.
  • Heterogeneous -tridimensional fractal field- random meshing of a cube.
  • Two tridimensional 'smooth' fractal surfaces.
  • Tridimensional 'smooth' fractal surface.
  • Tridimensional fractal surface (bird's-eye view).
  • Fractal Self-Portrait -a tribute to René Magritte-.
  • Fractal Self-Portrait -a tribute to René Magritte-.
  • Fractal Self-Portrait -'Décalcomanie', a tribute to René Magritte-.
  • N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite) computed with 2 different optimization options on the same computer (sensitivity to rounding-off errors).
  • N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite) computed with 2 slightly different sets of initial conditions (sensitivity to initial conditions).
  • The Ptolemaic system -without equant- with a small light grey circle -the epicycle- whose center describes a larger dark grey circle -the deferend- centered on the Earth -blue sphere-.
  • Some of the most beautiful fractal pictures.
  • From the infinitely small -bottom left- to the infinitely big -top right-.
  • Light cloud dynamics -this sequence being periodical-.
  • The construction process of the Menger sponge.
  • The construction process of the Sierpinski carpet.
  • The dynamics of the diffusion process in a bidimensional medium obtained by means of a random walk process.
  • Bidimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity.
  • Bidimensional zoom in on the Mandelbrot set.
  • The self-similarity of the von Koch curve displayed by means of a zoom in with a ratio that is equal to 3.
  • An amazing cross-section inside an extended Menger sponge -iteration 5-.
  • An extended Menger sponge -iteration 5-.
  • A parallelepipedic extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-.
  • No Title 0272.
  • A half-random extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-.
  • A half-random extended Menger sponge -iteration 5-.
  • A half-random extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-.
  • A half-random extended Menger sponge -iteration 5-.
  • A full-random extended Menger sponge -iteration 5-.
  • An extended Menger sponge -iteration 5-.
  • An extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-.
  • An extended Menger sponge -iteration 5-.
  • An extended Menger sponge -iteration 5-.
  • An extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-.
  • An extended Menger sponge -iteration 5-.
  • A thin double spherical cross-section inside the Menger sponge -iteration 5-.
  • Recursive subdivision of four Golden Rectangles -a tribute to Piet Mondrian-.
  • Recursive subdivision of the Golden Rectangle by means of the Golden Ratio -phi-.
  • Self-Portrait -a tribute to Pablo Picasso-.
  • Self-Portrait -a tribute to Pablo Picasso-.
  • An hexagonal tiling of the hyperbolic Poincaré disk -iteration 5- -a tribute to Piet Mondrian and Henri Poincaré-.
  • A pseudo-periodical Penrose tiling of the Golden Decagon -a tribute to Piet Mondrian and Roger Penrose-.
  • An amazing cross-section inside an extended Menger sponge -iteration 3-.
  • An extended Menger sponge -iteration 3-.
  • A double spherical cross-section inside the Menger sponge -iteration 5-.
  • The Sierpinski carpet -iteration 3- with colors -a tribute to Karl Menger and Piet Mondrian-.
  • Intertwining -a tribute to Piet Mondrian-.
  • No Title 0271 -a tribute to Vassily Kandinsky-.
  • No Title 0269 -a tribute to Piet Mondrian-.
  • A pseudo-periodical Penrose tiling of the plane -a tribute to Piet Mondrian and Roger Penrose-.
  • No Title 0267 -a tribute to Piet Mondrian-.
  • No Title 0266 -a tribute to Vassily Kandinsky-.
  • No Title 0265 -a tribute to Vassily Kandinsky-.
  • Metropolis -a tribute to Fritz Lang-.
  • Black Star -a tribute to George Lucas-.
  • A spherical cross-section inside the Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-.
  • A spherical cross-section inside the Menger sponge -iteration 5-.
  • The Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-.
  • An amazing generalized cross-section inside the Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-.
  • An amazing generalized cross-section inside the Menger sponge -iteration 5-.
  • The four first power sets {P(E),P(P(E)),P(P(P(E))),P(P(P(P(E))))} of a one-element set E.
  • The intersection of the Menger sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation-.
  • The Menger sponge -iteration 5- with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-.
  • The Syracuse conjecture for U(0)={1,2,3,4,...,256} -monodimensional display-.
  • A truncated quadrimensional Calabi-Yau manifold with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-.
  • Tridimensional representation of a quadridimensional Calabi-Yau manifold.
  • Tridimensional fractal structure.
  • Tridimensional fractal structure.
  • Tridimensional fractal structure.
  • Tridimensional fractal structure.
  • No Title 0264.
  • A tridimensional cubic mesh with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-.
  • Tridimensional display of a pseudo-periodical Penrose tiling of the plane with a fractal noise.
  • The Penrose city.
  • A pseudo-periodical Penrose tiling of the plane.
  • Close-up on a foggy pseudo-quaternionic Mandelbrot set with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-.
  • Close-up on a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb') -tridimensional cross-section-.
  • A 'triple stack' of two pseudo-periodical Penrose tilings of the plane.
  • A tridimensionally distorded pseudo-periodical Penrose tiling of the plane.
  • A tridimensionally distorded pseudo-periodical Penrose tiling of the plane.
  • A pseudo-periodical Penrose tiling of the plane.
  • A pseudo-periodical Penrose tiling of the plane.
  • Close-up on a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb') -tridimensional cross-section-.
  • Close-up on a foggy pseudo-quaternionic Mandelbrot set with a (1/O)2 conformal transformation in the Octonionic space -tridimensional cross-section-.
  • Close-up on a foggy pseudo-quaternionic Mandelbrot set with a (1/O)1 conformal transformation in the Octonionic space -tridimensional cross-section-.
  • Close-up on a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb') -tridimensional cross-section-.
  • Wavelet transform of a bidimensional fractal field.
  • The end of the World.
  • Close-up on a foggy pseudo-quaternionic Mandelbrot set with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-.
  • Close-up on a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb') -tridimensional cross-section-.
  • A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb') -tridimensional cross-section-.
  • A foggy pseudo-octonionic Mandelbrot set (a 'MandelBulb') -tridimensional cross-section-.
  • A truncated tridimensional torus with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-.
  • A truncated tridimensional torus with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-.
  • No Title 0263.
  • A truncated tridimensional sphere with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-.
  • No Title 0262.
  • A truncated tridimensional sphere with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-.
  • A truncated tridimensional sphere with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-.
  • A truncated tridimensional sphere with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-.
  • A tridimensional cubic mesh with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-.
  • A tridimensional cubic mesh with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-.
  • No Title 0261.
  • An helix on a 'tridimensional epicycloïdal' pseudo-torus.
  • An helix on a 'tridimensional epicycloïdal' pseudo-torus.
  • An helix on a torus.
  • No Title 0260.
  • An helix on a 'crumpled' sphere.
  • Two helices on the Bonan-Jeener-Klein triple bottle.
  • Tridimensional accumulation of 50 non correlated tridimensional brownian motions -50000 time steps-.
  • Tridimensional accumulation of 10 non correlated tridimensional brownian motions -50000 time steps-.
  • Tridimensional accumulation of 512 strongly correlated tridimensional brownian motions -50000 time steps-.
  • Tridimensional accumulation of 512 correlated tridimensional brownian motions -50000 time steps-.
  • No Title 0259.
  • Bidimensional brownian motion -the colors used (magenta,red,yellow,green,cyan) are an increasing function of the time-.
  • Bidimensional brownian motion -the colors used (magenta,red,yellow,green,cyan) are an increasing function of the time-.
  • No Title 0257.
  • No Title 0326.
  • An helix on the Klein bottle.
  • An helix on a sphere.
  • A 'tridimensional epicycloïdal' pseudo-torus.
  • Arrival -a tribute to the 2016 Denis Villeneuve's movie thanks to a pseudo-quaternionic Julia set-.
  • A foggy pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb') computed with A=(-0.58...,+0.63...,0,0) and with a rotation about the Y axis -tridimensional cross-section-.
  • The 65.536 first digits -base 3- of 'pi' -the first 'digit' is the top left red square-.
  • A 'tridimensional epicycloïdal' pseudo-torus.
  • No Title 0255.
  • A quoi servent les Mathématiques?.

  • New Book
  • A 'thick' helix.
  • A 'bidimensional epicycloïdal' pseudo-torus.
  • A 'bidimensional epicycloïdal' pseudo-torus.
  • A two-hole pseudo-torus.
  • No Title 0253.
  • An octogonal tiling of the hyperbolic Poincaré disk -iteration 5-.
  • Tridimensional accumulation of 512 correlated bidimensional brownian motions -50000 time steps-.
  • Tridimensional accumulation of 512 correlated bidimensional brownian motions -1000 time steps-.
  • Tridimensional accumulation of 512 correlated bidimensional brownian motions -1000 time steps-.
  • A binary tree with 4096 leaves.
  • Bidimensional brownian motion -the colors used (magenta,red,yellow,green,cyan) are an increasing function of the time- and its 'external border' -white-.
  • Tridimensional display of two intricated random labyrinths -the wide one and the narrow one-.
  • Two intricated random labyrinths -the wide one and the narrow one-.
  • An hexagonal tiling of the hyperbolic Poincaré disk -iteration 5-.
  • Artistic view of a pseudo-periodical Penrose tiling of the Golden Decagon.
  • Artistic view of a pseudo-periodical Penrose tiling of the Golden Decagon.
  • Tridimensional visualization of a pseudo-periodical Penrose tiling of the Golden Decagon.
  • Some 'natural' patterns inside a fractal texture.
  • A pseudo-periodical Penrose tiling of the Golden Decagon.
  • Paradoxal structure based on the geometry of the Boy surface.
  • Periodical impossible structure.
  • A pseudo-periodical Penrose tiling of the plane.
  • The 146.363 first digits -base 6- of the Champernowne number (=0.1 2 3 4 5 6 7 8 9 10 11 12...) -using all base 10 integer numbers- displayed as an 'absolute' tridimensional random walk.
  • No Title 0252.
  • The Goldbach conjecture.
  • Beyond Pluto.
  • The Mandelbrot set with tridimensional display of the arguments and computed with an increasing exponent, from 1 -bottom left- to 16 -top right-.
  • The double reflection -green- of a small regular tetrahedron -center red-.
  • The 'green' reflection of a red tetrahedron obtained by a 'blue' symmetry of each red vertex about the opposite red face.
  • The 'green' reflection of a red triangle obtained by a 'blue' symmetry of each red vertex about the opposite red side.
  • No Title 0250.
  • 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-.
  • No Title 0248.
  • The RGB cube and the additive synthesis of colors.
  • Artistic view of a quadridimensional Calabi-Yau manifold.
  • Artistic view of a quadridimensional Calabi-Yau manifold.
  • Artistic view of a quadridimensional Calabi-Yau manifold.
  • Bidimensional rectangular billiard with an attractive central obstacle and a flow of 'living' particles.
  • No Title 0247.
  • A random tridimensional binary tree.
  • No Title 0246.
  • A ternary tree.
  • A ternary tree.
  • Particle convection and diffusion inside a tridimensional binary tree model of the human pulmonary acinus without membrane permeability.
  • Particle convection and diffusion inside a tridimensional binary tree model of the human pulmonary acinus with membrane permeability.
  • The golden tree.
  • A binary tree with 256 leaves.
  • A binary tree with 256 leaves.
  • Bidimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity -Jean-François Colonna fractal aggregate-.
  • Gravitation and space-time curvature.
  • A two sheet hyperboloid of revolution.
  • A one sheet hyperboloid of revolution -negative curvature-.
  • No Title 0244.
  • Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 1.047.312 galaxies) obtained by means of a non deterministic fractal process and with a gigantic hidden Calabi-Yau structure.
  • Artistic view of a fractal Multiverse.
  • No Title 0243.
  • No Title 0242.
  • No Title 0241.
  • Tridimensional localization of a point P its distances to the four vertices of a tetrahedron ABCD being known.
  • No Title 0240.
  • Bidimensional localization of a point P its distances to the three vertices of a triangle ABC being known, the four points being coplanar.
  • The golden tree.
  • No Title 0239.
  • Artistic view of a binary tree with 256 leaves.
  • Artistic view of a sphere.
  • Artistic view of a 3-foil torus knot.
  • The abelian -commutative- group defined on elliptic curves.
  • Mysterious structures in the desert.
  • Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,...) obtained by means of a non deterministic fractal process.
  • Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 637.312 galaxies) obtained by means of a non deterministic fractal process.
  • La diagonale du Flou.
  • Mountains and clouds.
  • The 1.000 first digits -base 10- of 'pi' displayed on an helix -good point of view-.
  • Tridimensional Hilbert Curve -iterations 1 to 3-.
  • Bidimensional Hilbert Curve -iterations 1 to 5-.
  • Tridimensional view of the first four iterations of the construction of the von Koch snowflake.
  • The first four iterations of the construction of the von Koch snowflake.
  • The Mathematics are the key of the Multiverse.
  • The tree of life -a Tribute to the victims of the attacks in November 2015, Paris-.
  • Tridimensional visualization of the Verhulst dynamics with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-.


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    Copyright (c) Jean-François Colonna, 2000-2020.
    Copyright (c) France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2000-2020.