2018 Joint Mathematics Meetings
Carlo Sequin
Artists
Carlo H. Séquin
Prof. Emeritus
EECS Department, University of California, Berkeley
Berkeley, California, USA
Statement
For several years, I have admired the ceramic creations and metal sculptures by Eva Hild. They not only enchant me with their free-flowing organic beauty; they also intrigue the mathematical part of my mind. How many tunnels and border curves are there? What might be their genus. For a topologist, many of Hild’s surfaces represent challenging exercises in surface classification. Analyzing many images of her sculptures, I was surprised that I could not find any single-sided ones; they are all orientable! Would a non-orientable surface look quite different and stand out from her portfolio? Here I present two models of single-sided 2-manifold sculptures that use some of the geometrical elements found in Eva Hild’s creations.
Artworks
![Image for entry 'Tetra-Cluster of Seven Klein-Bottles'](/_next/image?url=https%3A%2F%2Fsubmit.bridgesmathart.org%2Frails%2Factive_storage%2Fblobs%2Fproxy%2FeyJfcmFpbHMiOnsiZGF0YSI6NDcxMCwicHVyIjoiYmxvYl9pZCJ9fQ%3D%3D--ba8834d3f4d44074c3dc86227270810e5fa2418a%2Ftetra-cluster_1800.jpg&w=1536&q=75)
Tetra-Cluster of Seven Klein-Bottles
15 x 15 x 15 cm
3D-print, PLA plastic
2017
![Image for entry 'Dodecahedral-Cluster of 25 Klein-Bottles'](/_next/image?url=https%3A%2F%2Fsubmit.bridgesmathart.org%2Frails%2Factive_storage%2Fblobs%2Fproxy%2FeyJfcmFpbHMiOnsiZGF0YSI6NDcxMSwicHVyIjoiYmxvYl9pZCJ9fQ%3D%3D--6c6bc6c8216d33a461a6d9d9f220fab71b718068%2Fdodeca-cluster_1800.jpg&w=1536&q=75)
Dodecahedral-Cluster of 25 Klein-Bottles
24 x 24 x 24 cm
3D-print, PLA plastic
2017