Gallery (36 different pictures):

Images des Mathématiques (IdM/CNRS)

[Galerie (36 images différentes) : Images des Mathématiques (IdM/CNRS)]

Jean-François COLONNA
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CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, École polytechnique, Institut Polytechnique de Paris, CNRS, France

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Images des Mathématiques (IdM/CNRS) [Images des Mathématiques (IdM/CNRS)]:

Mathematics [Mathématiques]	Deterministic Fractal Geometry [Géométrie Fractale Déterministe]	Non Deterministic Fractal Geometry [Géométrie Fractale Non Déterministe]	Tilings [Pavages]	Celestial Mechanics [Mécanique Céleste]
Quantum Mechanics [Mécanique Quantique]	Miscellaneous [Divers]

IdM/CNRS [IdM/CNRS]:

Mathematics [Mathématiques]:

The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678.	The relief -modulus- of the function e^1/z with argument mapping.	Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view).	3-foil torus knot on its torus.	5-foil torus knot on its torus.
7-foil torus knot on its torus.

Deterministic Fractal Geometry [Géométrie Fractale Déterministe]:

The first four iterations of the construction of the von Koch snowflake.	The Sierpinski Carpet -iteration 1 to 5-.	The Menger Sponge -iteration 5-.	Bidimensional Hilbert Curve -iterations 1 to 5-.	Tridimensional Hilbert Curve -iterations 1 to 3-.
A Tridimensional Hilbert-like Curve base on an 'open' 3-foil torus knot -iteration 2-.	A sphere described by means of a Bidimensional Hilbert Curve -iteration 7-.	The Klein bottle described by means of a Bidimensional Hilbert Curve -iteration 7-.	A Ball described by means of a Tridimensional Hilbert Curve -iteration 4-.	Visualization of the Newton's method when computing the roots of Z⁵=1.
Along the border of the Mandelbrot set.	A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb') -tridimensional cross-section-.	Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-.

Non Deterministic Fractal Geometry [Géométrie Fractale Non Déterministe]:

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.

Bidimensional brownian motion -the colors used (magenta,red,yellow,green,cyan) are an increasing function of the time- and its 'external border' -white-.

The 'island-peninsula' phenomenon of the fractal diffusion front in a bidimensional medium obtained by means of a random walk process.

Foggy seaboard.

Monument Valley at sunrise.

Tilings [Pavages]:

An aperiodic Penrose tiling of the plane.

An aperiodic Penrose tiling of the plane -a Tribute to Piet Mondrian and Roger Penrose-.

A close-up of the 'EinStein' aperiodic 'Spectre' tiling.

The 500 first digits of π displayed as an Impossible Structure.

Celestial Mechanics [Mécanique Céleste]:

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

Quantum Mechanics [Mécanique Quantique]:

Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-.

Miscellaneous [Divers]:

The same bidimensional scalar field displayed with 4 different color palettes.	Two identical grey rectangles in front of a grey scale.	The Mathematics are the key of the Multiverse.	The Mathematics are the key of the Multiverse.	Periodical impossible structure.
Quadruple impossible staircase built by means of a paradoxal structure -a Tribute to Maurits Cornelis Escher-.

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Copyright © Jean-François COLONNA, 2025-2025.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2025-2025.