Hanne Kekkonen
I'm a mathematician interested in visualising topological shapes and
using them to introduce otherwise difficult to grasp mathematical
concepts to the general public. I create shapes from several different
mediums and I'm especially interested in (negative) curvature.
Recently, I have been working on creating Curvagons, which are
flexible regular polygon tiles that allow you to explore mathematics
by quickly building anything from hyperbolic surfaces and tori to
triply periodic minimal surfaces as shown below.
Gyroid is a triply periodic minimal surface that was discovered in
1970 by Alan Schoen. Minimal surfaces have zero mean curvature and
they locally minimise the surface area. This approximation of the
gyroid was created using square and hexagon Curvagon pieces with
two squares and two hexagons meeting at every corner creating a
60° angle excess. In addition to being interesting for
mathematicians, gyroids have also recently been explored in
material sciences. Gyroid cores can have mechanical properties
that are orders of magnitude different from traditional lattice
structure designs.