# Hanne Kekkonen

Assistant professor

Delft Institute of Applied Mathematics, TU Delft

Delft, Netherlands

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.

Curvagon tessellation of the Gyroid

30 x 40 x 40 cm

EVA foam Curvagon pieces

2022

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.

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.