Gallery (89 different pictures):

Animations

[Galerie (89 images différentes) : Animations]

Animations [Animations]:

[Animations]:

Deterministic Fractal Geometry [Géométrie Fractale Déterministe]:

MPEG The self-similarity of the von Koch curve displayed by means of a zoom in with a ratio that is equal to 3.

MPEG Iterations in the complex plane: the computation of the Mandelbrot set.

MP4 Bidimensional zoom in on the Mandelbrot set with display of the arguments.

MP4 Bidimensional zoom in on the Mandelbrot set with display of the arguments.

MP4 Bidimensional zoom in on the Mandelbrot set with display of the arguments.

MPEG Bidimensional zoom in on the Mandelbrot set.

MPEG Bidimensional zoom in on the Mandelbrot set.

MP4 Tridimensional zoom in on the Mandelbrot set.

MP4 A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments.

MP4 A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments.

MP4 Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-.	MPEG Pi/2 rotation about the X axis of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb') -tridimensional cross-section-.	MPEG 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 0 to pi rotation about the X axis -tridimensional cross-section-.	MPEG Pseudo-octonionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-.	MPEG Zoom in on a pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb') computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) -tridimensional cross-section-.
MPEG Zoom in on a pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb') computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) -tridimensional cross-section-.	MPEG Zoom in on a pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb') computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) -tridimensional cross-section-.	MPEG Zoom in on a pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb') computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-.

MP4 A tridimensional billiard starting with a Menger Sponge -iteration 2-.

MPEG Cauliflowers, seaweeds, shells,....




Non Deterministic Fractal Geometry and Natural Phenomenon Synthesis [Géométrie Fractale Non Déterministe et Synthèse de Phénomènes Naturels]:

MP4 Light cloud dynamics.

MPEG Light cloud dynamics -this sequence being periodical-.

MPEG Dynamical mountains (bird's-eye view).

MPEG Mountains and light cloud dynamics -this sequence being periodical-.

MP4 Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-.

MPEG Erosion of a bidimensional random (with large scale correlations) island.




Deterministic Chaos [Chaos Déterministe]:

MP4 David versus Goliath: there is a war between Ukraine and Russia.

MP4 David versus Goliath: there is a war between Ukraine and Russia.

MP4 The Road to Chaos -06/19/2022-.

MP4 The Road to Chaos -06/19/2022-.

MP4 On the Road to Chaos again -07/07/2024-.

MP4 On the Road to Chaos again -07/07/2024-.

MP4 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-.	MP4 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-.	MP4 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-.	MP4 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-.	MP4 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-.
MP4 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-.

MPEG Bidimensional domino effect.

MP4 The numerical reversibility of the bidimensional billiard -192 particles-.

MP4 The numerical irreversibility of the bidimensional billiard -336 particles-.

MP4 The numerical irreversibility of the bidimensional billiard -768 particles-.

MP4 The numerical irreversibility of the bidimensional billiard -1376 particles-.

MPEG The dynamics of the diffusion process in a bidimensional medium obtained by means of a random walk process.




Statistical Mechanics and Particle Systems [Mécanique Statistique et Systèmes de Particules]:

MPEG Bidimensional rectangular billiard.

MP4 Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles.

MP4 A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle.

MP4 Tridimensional display of the particle density of a bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle.

MPEG Bidimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity.

MPEG Bidimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to an attractive central field of gravity.

MPEG Bidimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to a vertical field of gravity.

MPEG Bidimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to a vertical field of gravity.

MPEG Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity.

MPEG Tridimensional fractal aggregate obtained by means of a 50% pasting process during collisions of particles submitted to an attractive central field of gravity.

MPEG Tridimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to a vertical field of gravity.

MPEG Tridimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to a vertical field of gravity.

MP4 Bidimensional quasi-symmetrical fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity.




Quantum Mechanics [Mécanique Quantique]:

MPEG Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation).

MPEG Rotation about the Y (vertical) axis of a tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation).

MPEG Rotation about the Y (vertical) axis of a tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation) that can also be viewed as a set of 4x3 stereograms.




Celestial Mechanics [Mécanique Céleste]:

MP4 N-body problem integration (N=3) displaying two planets with symmetrical initial conditions on elliptic trajectories -'heliocentric' point of view, yellow body-.	MP4 N-body problem integration (N=3) displaying two planets with symmetrical initial conditions on elliptic trajectories -'geocentric' point of view, green body-.	MPEG 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).	MPEG 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).	MP4 N-body problem integration (N=5) displaying four planets with symmetrical initial conditions on elliptic trajectories -'geocentric' point of view, green body-.
MP4 N-body problem integration (N=5) displaying four planets with symmetrical initial conditions on elliptic trajectories -'heliocentric' point of view, yellow body-.

MPEG 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-.

MP4 From Mars to the Sun.

MP4 The journey of an Earth-like virtuel planet (green) from Pluto (grey) to the Sun (yellow) -point of view of the virtual planet-.

MPEG The journey of an Earth-like planet (green) in the Solar System -point of view of the virtual planet-.

MP4 The distance {Earth-Mars} -millions of kilometers- starting on 01/01/1950 AD and during seven marsian years.

MP4 The distances {Sun-Jupiter,Sun-Saturn,Sun-Uranus,Sun-Neptune} during one neptunian year.

MP4 The distances Sun-Earth-Jupiter-Saturn-Uranus-Neptune during one neptunian year.




Astrophysics and Cosmology [Astrophysique et Cosmologie]:

MPEG Coalescence of 972 particles -black holes?- on a bidimensional rectangular billiard -a static, non relativistic and bounded universe- during 51.2 time units.	MPEG Coalescence of 40832 particles -black holes?- inside a tridimensional parallelepipedic billiard -a static, non relativistic and bounded universe- during 51.2 time units.	MPEG Coalescence of 40832 particles -black holes?- inside a tridimensional parallelepipedic billiard -a static, non relativistic and bounded universe- during 204.8 time units.	MPEG Coalescence of 40832 particles -black holes?- inside a tridimensional parallelepipedic billiard -a static, non relativistic and bounded universe- with display of the dynamics of the mass histogram, during 204.8 time units.	MPEG Coalescence of 40832 particles -black holes?- inside a tridimensional parallelepipedic billiard -a static, non relativistic and bounded universe- during 409.6 time units.
MPEG Coalescence of 40832 particles -black holes?- inside a tridimensional parallelepipedic billiard -a static, non relativistic and bounded universe- with display of the dynamics of the mass histogram, during 409.6 time units.

MP4 The random walk of photons escaping the Sun.




Miscellaneous [Divers]:

MP4 Bidimensional texture animation by means of the Generalized Product.

MP4 Tridimensional texture animation by means of the Generalized Product.

MP4 Bidimensional geometrical texture animation.

MP4 The Möbius strip.

MP4 The bidimensional John Conway's life game.

MP4 Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing.

MP4 Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing.

MPEG A 20x20 random bidimensional network.

MPEG A set of 4x3 stereograms displaying a tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -90.000 digits, -base 10- with 30.000 time steps.

MPEG A set of 4x3 stereograms displaying a tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -90.000 digits, -base 10- with 30.000 time steps.






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Copyright © Jean-François COLONNA, 2024-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2024-2024.