Mathematics [Mathématiques]. |
Fractal Geometry [Géométrie Fractale]. |
Celestial Mechanics [Mécanique Céleste]. |
Deterministic Chaos [Chaos Déterministe]. |
Miscellaneous [Divers]. |
![]() A demonstration of the Pythagoras' theorem. |
![]() Two sets. |
![]() A bijection. |
![]() A bijection. |
![]() A set 'E'. |
![]() Two subsets 'SE1' and 'SE2' of a set 'E'. |
![]() Two sets 'SE1' and 'SE2'. |
![]() A set 'F' with two elements 'SE1' and 'SE2'. |
![]() 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 Continuum Hypothesis (CH). |
![]() The Continuum Hypothesis (CH). |
![]() Generation of the 63 first Conway's surreal numbers. |
![]() Generation of the 63x63 first Conway's surreal complex numbers. |
![]() The continuity. |
![]() The differentiability. |
![]() Definition of a tangent -orange- by means of a secant -red-. |
![]() The continuity. |
![]() The differentiability. |
![]() Definition of a tangent -yellow- by means of a secant -orange-. |
![]() The volume of a cube K -U being the unity cube-. |
![]() A 0-cube -a point-. |
![]() A 1-cube -a segment-. |
![]() A 2-cube -a square-. |
![]() A 3-cube -a cube-. |
![]() A 4-cube -an hypercube-. |
![]() The Golden Rectangle. |
![]() Recursive subdivision of the Golden Rectangle by means of the Golden Ratio -phi-. |
![]() The two subdivisions of the 'flat' Golden Triangle. |
![]() The 'flat' Golden Triangle. |
![]() One of the two subdivisions of the 'flat' Golden Triangle. |
![]() One of the two subdivisions of the 'flat' Golden Triangle. |
![]() A straigth line -a monodimensional manifold- or a cylinder -a bidimensional manifold- in the distance?. |
![]() A cylinder -a bidimensional manifold-. |
![]() A cylinder -a bidimensional manifold-. |
![]() To add two numbers. |
![]() To multiply two numbers. |
![]() The abelian -commutative- group defined on elliptic curves. |
![]() The self-similarity of the von Koch curve. |
![]() The self-similarity of the von Koch curve displayed by means of a zoom in with a ratio that is equal to 3. |
![]() A perfect bidimensional fractal tree and the self-similarity. |
![]() A perfect bidimensional fractal tree and the self-similarity. |
![]() The self-similarity of a perfect bidimensional fractal tree. |
![]() A random bidimensional fractal tree and the self-similarity. |
![]() The self-similarity of a random bidimensional fractal tree. |
![]() The Cantor triadic set -iterations 0 to 5-. |
![]() The Sierpinski carpet -iteration 1-. |
![]() The Sierpinski carpet -iteration 2-. |
![]() The construction process of the Sierpinski carpet. |
![]() The Menger sponge -iteration 1-. |
![]() The Menger sponge -iteration 2-. |
![]() The construction process of the Menger sponge. |
![]() The Menger sponge -iteration 1-. |
![]() The Menger sponge -iteration 2-. |
![]() The construction process of the Menger sponge. |
![]() The Mandelbrot set. |
![]() Iterations in the complex plane. |
![]() Iterations in the complex plane: the computation of the Mandelbrot set. |
![]() A Douady rabbit -a complex Julia set computed with A=(-0.13,+0.77)-. |
![]() Iterations in the complex plane: the computation of a Julia set. |
![]() Along the border of the Mandelbrot set. |
![]() The iterative process used to generate bidimensional fractal fields (large mesh). |
![]() Fractal diffusion front in a bidimensional medium obtained by means of a random walk process. |
![]() N-body problem integration (N=2) displaying a perfect Keplerian orbit. |
![]() display of the inclination of two elliptic trajectories. |
![]() From Pluto to the Sun. |
![]() The journey of an Earth-like planet (green) in the Solar System -point of view of the virtual planet-. |
![]() The Lorenz attractor. |
![]() Free fall in the vacuum. |
![]() The rain (or the snow) is falling. |
![]() A childish Sun. |
![]() A color palette with an increasing luminance. |
![]() From cold to warm colors. |
![]() From cold to warm colors. |
![]() The same bidimensional scalar field displayed with 4 different color palettes. |
![]() The RGB cube and the additive synthesis of colors. |
![]() Anaglyphic glasses. |
![]() The 'Tapestry' effect applied to a right-angled triangle. |
![]() The 'CenterOf' effect applied to a right-angled triangle. |
![]() Clockwise. |
![]() Anticlockwise -trigonometric-. |
![]() Simple chessboard. |
![]() Simple chessboard. |
![]() Simple chessboard. |
![]() Simple chessboard. |
![]() CMAP. |