Hanne Kekkonen
Artists
Hanne Kekkonen
Assistant professor
Delft Institute of Applied Mathematics, TU Delft
Delft, Netherlands
Statement
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 medium and I'm especially interested in (negative) curvature.
Artworks
![Image for entry 'Hyperbolic Phizz net'](/_next/image?url=https%3A%2F%2Fsubmit.bridgesmathart.org%2Frails%2Factive_storage%2Fblobs%2Fproxy%2FeyJfcmFpbHMiOnsiZGF0YSI6MzI1MywicHVyIjoiYmxvYl9pZCJ9fQ%3D%3D--efae9b1f36e2b55c7e0d58531b04d3271dff96ec%2Fphizzhyperbolicnew.jpg&w=1536&q=75)
Hyperbolic Phizz net
30 x 30 x 30 cm
Paper
2020
This 'hyperbolic football' was created using Phizz origami units, surrounding a heptagon by seven hexagons resulting in tiling {6;6;7}.
The hyperbolic plane has constant negative curvature and is too large to lie flat. You can approximate a hyperbolic surface by surrounding a heptagon (internal angles 128.57°) by seven hexagons (internal angles 120°). A vertex where two hexagons and one heptagon meet then sums up to 368.57°, creating a 8.57° excess compared to 360°, which would create a flat surface.