Exhibitions

The epita-dodecahedron visualizing Poincaré's dodecahedral space

Analogous to Henri Poincaré’s concept of dodecahedral space the epita_dodecahedron allows to visualize the principle of the counter-movements of the opposite polyhedra E+ instead of the pentagonal spaces in his description of the homology sphere in the fifth “Complément” : Thus it clearly shows the different evolving symmetries,- crystallizing in steps of 36 degrees, just as Poincaré anticipated the shape of the universe in 1904.

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Interactive viewer for constant mean curvature and constrained Willmore surfaces.

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FroZenLight

Circular shaped mirrors which are arranged in a grid-like manner reflect a light ray according to the reflection law of geometric optics. While random positions of the light source produce chaotic reflection patterns, it is possible to position the light source so that beautiful symmetric reflection patterns are created.

The application allows you to interactively change parameters like light source position, circle radius and rotation angle of the lattice. Through a simple menu it is possible to select and explore a wide range of symmetric reflection patterns.

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AnimaSurfer

AnimaSurfer is an artistic animation made for the Formas & Fórmulas exhibition (Portugal 2012 - 2013).

Four Math Sculptures

This is the 3d-data for the 3d-printing of four small math sculptures, whose shape is described by precise mathematical formulas. All four represent classical mathematical curves or surfaces, namely the following: Barth Sextic, Dini Surface, Parabolic Cylinder and Plane (called Tülle), Rational Normal Curve. The data is in STL-format, and have a wall thickness of approximately 0.7mm, and a wire thickness of 3mm.

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