# Axel Voigt

Professor of Mathematics

Mathematics Department, TU Dresden

Dresden, Germany

My artwork is inspired by evolution principles in nature and the richness of the generated nano- and micromorphology. Mathematically modeling such structures using differential equations and visualizing them not only is a reasonable approach in science but also provides the basis for my artwork which is realized using a variity of techniques and materials, e.g. layered printing and 3D printing technologies.

Evolving Bowl

10 x 80 x 20 in cm

3d printed plaster

2013

The driving force for phase separation in vinaigrette is mathematical modeled and numerically solved to generate a bowl, with a morphology governed by its potential use. The morphology evolves in time from finer to coarser structures. The art work shows three snapshots of the evolution, with the oil/water interface 3D printed.

The art work is a cooperation with Sebastian Aland and Florian Stenger.

The underlying mathematical model is the Cahn-Hilliard equation, a partial differential equation describing phase separation in binary systems, which is solved using a diffuse domain approach to account for the geometry of the bowl, and adaptive finite elements on a high performance computer.

The art work is a cooperation with Sebastian Aland and Florian Stenger.

The underlying mathematical model is the Cahn-Hilliard equation, a partial differential equation describing phase separation in binary systems, which is solved using a diffuse domain approach to account for the geometry of the bowl, and adaptive finite elements on a high performance computer.

Flow

10 x 80 x 60 in cm

acrylic glass

2014

The evolutionary process of phase separation in a binary fluid is mathematically modeled and numerically solved. Slices of the computed solution are extracted and the interface between the two fluid phases cutted in acrylic glass using a laser cutter. The slices are stacked together to provid a 3D illusion of a bicontinuous structure.

The underlying mathematical model is the Cahn-Hilliard equation, a non-linear partial differential equation, which is solved using the adaptive finite element software AMDiS on a high performance computer.

The art work is a cooperation with ruestungsschmie.de and Wolfram Neumann.

The underlying mathematical model is the Cahn-Hilliard equation, a non-linear partial differential equation, which is solved using the adaptive finite element software AMDiS on a high performance computer.

The art work is a cooperation with ruestungsschmie.de and Wolfram Neumann.