| An elementary monodimensional binary cellular automaton -90- with 1 white starting point -bottom middle-.
| An elementary monodimensional binary cellular automaton -184- with random white starting points -on the bottom line-.
| Two alternative monodimensional 'quasi-continuous' cellular automata.
| 64 elementary bidimensional binary cellular automata with 1 white starting central point.
| Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability.
|
| Elliptical trajectory of a planet around a star with perihelion advance (very exaggerated).
| A dying Borg starship on Pluto.
| Bidimensional brownian motion -the colors used (magenta,red,yellow,green,cyan) are an increasing function of the time- and its 'external border' -white-.
| Tridimensional accumulation of 512 correlated bidimensional brownian motions -50000 time steps-.
| Tridimensional accumulation of the bidimensional projections of 512 correlated tridimensional brownian motions -50000 time steps-.
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| Tridimensional visualization of the ABC Conjecture.
| The Radical of the integer numbers from 2 to 257.
| Causal set obtained by means of an homogeneous random meshing of a cube.
| Heterogeneous -tridimensional fractal field- random meshing of a cube.
| Heterogeneous -tridimensional fractal field- random meshing of a cube.
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| 'Organic' network -64 nodes-.
| Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 637.312 galaxies) obtained by means of a non deterministic fractal process.
| Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 1.083.984 galaxies) obtained by means of a non deterministic fractal process.
| Complexity, Connectivity and Consciousness -512 nodes-.
| Two bidimensional hexagonal networks with an angular shift of 1.1 degree -moiré models-.
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| Tridimensional representation of a quadridimensional Calabi-Yau manifold.
| Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-.
| Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-.
| The relief -modulus- of the function exp(1/z) with argument mapping.
| Light clouds at sunset.
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| Artistic view of the prime numbers.
| Foggy island.
| Foggy seaboard.
| Fractal diffusion front in a bidimensional medium obtained by means of a random walk process.
| 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.
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| A random tiling of a square domain using dominoes (1x2 rectangles) -column after column- with display of clusters of horizontal rectangles using the 4-connexity.
| 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.
| 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-.
| 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-.
| The Eratosthene sieve displaying the integer numbers from 1 to 128.
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| The Jeener hypocycloidal snail.
| Quadruple impossible staircase built by means of a paradoxal structure -a Tribute to Maurits Cornelis Escher-.
| Tridimensional fractal structure -the space-time foam?-.
| Tridimensional fractal structure.
| The Proth-Gilbreath Conjecture -display of the process for the 32 first prime numbers-.
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| An extended Menger Sponge -iteration 3- displaying the 10.665 first values of G(Pi(x)) modulo 2 of the Proth-Gilbreath conjecture.
| Visualization of the Proth-Gilbreath Conjecture process for G(Pi(1.6931x10^15))=969..
| The Goldbach Conjecture -the Goldbach Comet or the Goldbach Rainbow- for the even numbers from 6 to 411678.
| Localization of a point P its distances to the four vertices of a tetrahedron ABCD being known.
| The DNA of Mathematics -the 480 first digits of 'pi' and '1/pi'-.
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| The DNA of Mathematics -the 100 first digits of 'pi' and '1/pi'-.
| Three hexagons and the twenty-eight first strictly positive integer numbers -nine of them being prime numbers-.
| Bidimensional Hilbert Curve -iteration 5-.
| Tridimensional Hilbert Curve -iterations 1 to 3-.
| The Klein bottle described by means of a Bidimensional Hilbert Curve -iteration 7-.
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| Tridimensional representation of a quadridimensional Calabi-Yau manifold described by means of 5x5 Bidimensional Hilbert Curves -iteration 5-.
| The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 6-.
| Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation).
| Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation).
| Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation).
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| The tridimensional Ising Model with 2-state spins, temperature=0.2 and random initial conditions.
| The bidimensional Ising Model after 1000 iterations, with 2-state spins, random initial conditions and for a temperature equal to the critical temperature.
| The Birth of the Universe.
| The quaternionic Julia set computed with A=(0,1,0,0) -tridimensional cross-section-.
| A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb') computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) -tridimensional cross-section-.
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| A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb') computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) -tridimensional cross-section-.
| A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb') computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) and with a rotation about the X axis -tridimensional cross-section-.
| A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb') computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) -tridimensional cross-section-.
| A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb') computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) and with a rotation about the X axis -tridimensional cross-section-.
| A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb') computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) and with a rotation about the X axis -tridimensional cross-section-.
|
| A foggy pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb') computed with A=(-0.581514...,+0.635888...,0,0) and with a rotation about the Y axis -tridimensional cross-section-.
| The quaternionic Julia set -degree=2- computed with A=(-0.581514...,+0.635888...,0,0) -tridimensional cross-section-.
| The quaternionic Julia set -degree=2- computed -pseudo-addition and pseudo-multiplication in C- with A=(-0.581514...,+0.635888...,0,0) -tridimensional cross-section-.
| Ducks and friends.
| 1-foil torus knot -obvious knot- on its torus and its asociated Möbius strip.
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| 3-foil torus knot on its torus.
| 5-foil torus knot on its torus.
| 7-foil torus knot on its torus.
| The Legendre Conjecture with 0 < n < 201.
| The Lorenz attractor.
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| The Lorenz attractor.
| Bidimensional visualization of the Verhulst dynamics -(grey,orange,red) display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-.
| 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 Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments.
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| 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.
| Random quadrangulation of a cube -8x8x8-.
| Random quadrangulation of the volume of a sphere -8x8x8-.
| Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb') -tridimensional cross-section-.
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| Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb') -tridimensional cross-section-.
| A pseudo-octonionic Mandelbrot set (a 'MandelBulb') -tridimensional cross-section-.
| A pseudo-octonionic Mandelbrot set (a 'MandelBulb') -'children's corner' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-.
| A foggy pseudo-octonionic Mandelbrot set (a 'MandelBulb') -tridimensional cross-section-.
| A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb') -tridimensional cross-section-.
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| 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 conformal transformation in the octonionic space -tridimensional cross-section-.
| A pseudo-octonionic Mandelbrot set -tridimensional cross-section-.
| The Menger Sponge -iteration 5-.
| An amazing cross-section inside the Menger Sponge -iteration 5-.
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| An amazing cross-section inside the Menger Sponge -iteration 5- with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-.
| An amazing cross-section inside the Menger Sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-.
| A half-random extended Menger Sponge -iteration 4-.
| Mathematics: an infinite pyramidal structure built on a few axioms.
| An extended Menger Sponge -iteration 4- displaying the 108 first digits -base 2- of 'pi'.
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| An extended Menger Sponge -iteration 5- displaying the 1.168.749 first digits -base 2- of 'pi'.
| An extended Menger Sponge -iteration 5- displaying the 1.168.749 first digits -base 2- of 'pi'.
| An extended Menger Sponge -iteration 7- displaying the 211.210.335 first digits -base 2- of 'pi'.
| From Pluto to the Sun.
| From Pluto to the Sun -extrapolation 2-.
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| N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Pluto point of view-.
| The journey of an Earth-like virtuel planet (green) in the Solar System -point of view of the virtual planet-.
| The Solar System with a green virtual planet -virtual planet point of view-.
| The actual relative sizes of the Solar System bodies.
| Quark and gluon structure of a nucleon.
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| Quark and gluon structure of a nucleon.
| Untitled 0155 -a Tribute to Yves Tanguy-.
| Mountains and light clouds.
| Two identical grey rectangles in front of a grey scale.
| The same bidimensional scalar field displayed with 4 different color palettes.
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| The Simpson paradox.
| Mountains at sunrise.
| The foggy Babel Tower -a Tribute to Brueghel the Elder-.
| Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-.
| Botticelli anomaly on the Moon.
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| Snowy day.
| Mountains and fog.
| Sunny Monument Valley.
| Mountains and fog.
| Artistic view of Monument Valley at sunrise with the Great Bear.
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| Monument Valley at sunrise.
| 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 Bidimensional Hilbert-like Curve defined with {X1(...),Y1(...)} related to the Mandelbrot set border -iteration 5-.
| The tiling of a 6x10 rectangle by means of the 12 different pentominos.
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| A medium with percolation -top to bottom- using the 4-connexity.
| A medium with percolation -top to bottom- using the 8-connexity.
| How to compute 'pi' with a gun.
| The 120 first digits of 'pi' displayed as an Impossible Structure.
| The 120 first digits of 'pi' displayed as an Impossible Structure.
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| The 50 first digits {141592...} of 'pi' displayed on an helix -orange-.
| display of 'pi' with 1.000 digits -base 10- on an helix -good point of view-.
| The 256 first digits -base 10- of 'pi' on a Bidimensional Hilbert Curve -iteration 4- mapped on a sphere.
| Tridimensional display -bird's-eye view- of an Archimedes spiral displaying 'pi' with 1.000 digits -base 10-.
| Tridimensional display -bird's-eye view- of a spiral displaying 'pi' with 2.000 digits -base 10-.
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| The 'pi' island -1-.
| A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -90.000 digits, -base 10- with 30.000 time steps.
| A tridimensional pseudo-random walk defined by means of 'pi': 050330... -12.849 digits, -base 6- into 050330... -12.849 digits, -base 6-.
| An hexagonal tiling of the hyperbolic Poincaré disk -iteration 5-.
| Gravitation and space-time curvature.
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| Artistic view of gravitational waves.
| A tridimensional fractal manifold defined by means of three tridimensional fields.
| 'Fractal set of ropes' based on a plane.
| 'Fractal set of ropes' based on a plane 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-.
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| 26 evenly distributed points on a sphere by means of simulated annealing.
| 24 evenly distributed points on a sphere by means of simulated annealing.
| The pythagorician knotted rope.
| Artistic view of the Schaeffer bijection.
| Computation of the roots of Z8=1 using Newton's method.
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| A tridimensional pseudo-random walk -cartesian coordinates- defined by means of the 99.999 first decimals of 'e' (718281...) -base 10- with 33.333 time steps.
| A tridimensional pseudo-random walk -cartesian coordinates- defined by means of the 99.999 first decimals of 'phi' -the golden ratio- (618033...) -base 10- with 33.333 time steps.
| A tridimensional pseudo-random walk -cartesian coordinates- defined by means of the 99.999 first decimals of 'pi' (141592...) -base 10- with 33.333 time steps.
| A tridimensional pseudo-random walk -cartesian coordinates- defined by means of the 99.999 first decimals of the square root of 2 (414213...) -base 10- with 33.333 time steps.
| A tridimensional pseudo-random walk -cartesian coordinates- defined by means of the 99.999 first decimals of an arbitrary random number (190496...) -base 10- with 33.333 time steps.
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| Bidimensional domino effect.
| The particle trajectories of bidimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to an attractive central field of gravity.
| The trajectories of bidimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to a vertical field of gravity.
| 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-.
| The numerical irreversibility of the bidimensional billiard -1376 particles-.
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| Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity.
| Coalescence of 40832 particles -black holes?- inside a tridimensional parallelepipedic billiard.
| Kasner billiard: Time-dependent billiard (from negative curvature to positive curvature) with one accelerated particle.
| Recursive subdivision of the Golden Rectangle by means of the Golden Ratio -phi-.
| Bidimensional closed pseudo-self-avoiding brownian motion on the Boy surface.
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| The sum -top, white- of 96 cosine lines -the 12 first, colors- with the 25 first prime numbers -white vertical lines-.
| Dissonance chaude/Dissonance froide -a Tribute to Paul Sérusier-.
| The Sierpinski Carpet -iteration 1 to 5-.
| The 'Mystic' made of two 'EinStein' aperiodic 'Spectre' tiles.
| 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).
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| 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 random walk of photons escaping the Sun.
| The 'cosine' of a sphere.
| The Mathematics are the key of the Multiverse.
| Untitled 0305.
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| A tridimensional intertwining inside the Bonan-Jeener-Klein triple bottle.
| Untitled 0320.
| Generation of the 63x63 first Conway's surreal complex numbers.
| The Syracuse Conjecture for U(0)={5,6,7,8,...,260} -'pseudo-ramdom walk' display: 'The Syracuse Supernova'-.
| Along the border of the Mandelbrot set.
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| A fractal vegetal structure -'the Knowledge Tree'-.
| Artistic view of a fractal Multiverse.
| A random tridimensional binary tree.
| A tridimensionally distorded aperiodic Penrose tiling of the Golden Decagon.
| An aperiodic Penrose tiling of the plane.
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| An aperiodic Penrose tiling of the plane.
| An aperiodic Penrose tiling of the plane -a Tribute to Piet Mondrian and Roger Penrose-.
| An aperiodic Penrose tiling of the plane -a Tribute to Piet Mondrian and Roger Penrose-.
| An aperiodic Penrose tiling of the Golden Decagon.
| An aperiodic Penrose tiling of the Golden Decagon with five hidden cubes.
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| The execution of a very simple program on a Turing Machine.
| Artistic view of the Big Bang.
| Where is the Universe?.
| Quantum vacuum fluctuations.
| The first four iterations of the construction of the von Koch snowflake.
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| A periodical tiling of the plane using 2 von Koch-like snowflakes -iteration 5-.
| A periodical tiling of the plane using 3 von Koch-like snowflakes -iteration 5-.
| Tridimensional display of a periodical tiling of the plane using 2 von Koch-like snowflakes -iteration 3-.
| Voronoi diagrams.
| Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view).
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| Clouds.
| Light clouds.
| Light clouds at sunset.
| Magical forest.
| Archipelago.
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| The erosion of the Menger Sponge -iteration 5-.
| The erosion of an amazing cross-section inside the Menger Sponge -iteration 5-.
| Bidimensional closed self-avoiding brownian motion on a sphere.
| Bidimensional closed self-avoiding brownian motion on a torus.
| Bidimensional closed pseudo-self-avoiding brownian motion on the Bonan-Jeener-Klein triple bottle.
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| 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.
| A random tridimensional binary tree.
| The velocity vectors -with a common origin- of the 9 planets of the Solar System during one plutonian year.
| The distances {Sun-Jupiter,Sun-Saturn,Sun-Uranus,Sun-Neptune} during one neptunian year.
| The 'instantaneous' distance {Earth-Mars} -millions of kilometers- starting on 01/01/1950 AD and during seven marsian years.
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| The Solar System with a green virtual planet -virtual planet point of view-.
| A sphere described by means of a Bidimensional Hilbert Curve -iteration 7-.
| Tridimensional display of a Fractal Square: the Sierpinski Carpet -iteration 1 to 5-.
| A Fractal Cube -iteration 2-.
| Journey on the Complex Plane by means of a Bidimensional Hilbert Curve -iteration 2- with display of Julia sets.
|
| The quaternionic Julia set computed with A=(0,1,0,0) -tridimensional cross-section-.
| Close-up on a foggy pseudo-quaternionic Mandelbrot set with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-.
| The quaternionic Julia set -degree=2- computed -pseudo-addition and pseudo-multiplication in C- with A=(-0.581514...,+0.635888...,0,0) -tridimensional cross-section-.
| Close-up on a foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb') computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) and with a rotation about the X axis -tridimensional cross-section-.
| The 64 first lines of the Pascal's Triangle.
|
| Binomial multiplicative cascade with ponderations equal to 0.3 -left- and 1-0.3=0.7 -right-.
| The execution of a very simple program on a Turing Machine.
| The execution of a very simple program on a Turing Machine.
| The DNA of Mathematics -the 60 first digits of 'pi' and 'e'-.
| The DNA of Mathematics -the 60 first digits of 'pi' and '1/pi'-.
|
| The God Chessboard or the 64 first 'decimals' -base 2- of 'pi' -the first 'decimal' is the bottom left black square-.
| A tridimensionally distorded aperiodic Penrose tiling of the plane.
| Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50].
| The Goldbach Conjecture.
| The Syracuse Conjecture for U(0)={1,2,3,4,...,256} -monodimensional display-.
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| The Syracuse Conjecture for U(0)={5,6,7,8,...,68} -'pseudo-ramdom walk' display: 'The Syracuse Sun'-.
| A monodimensional 'quasi-continuous' cellular automaton.
| Close-up on a foggy pseudo-octonionic Mandelbrot set with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-.
| A pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb') computed with A=(-0.581514...,+0.635888...,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-.
| Artistic view of a tridimensional display of a periodical tiling of the plane using 3 von Koch-like snowflakes -iteration 3-.
|
| Untitled 0306.
| Untitled 0304.
| Untitled 0310.
| Untitled 0318.
| Table mountain.
|
