Episode published 20/05/22
In episode #41 of Living Proof, Dan Aspel speaks to Prof Herbert Gangl of the University of Durham. Herbert is not only a participant in the “K-theory, algebraic cycles and motivic homotopy theory” programme with a rich history of involvement in INI activities, but also the creator of the “Gems of Hypolytos”.
These items of artwork and jewellery (which take their name from a condensation of the phrase “hyperbolic polytopes”), use “ideal tessellations” of hyperbolic 3-space “as a rich source of beautiful new polytopes”. The results, which Herbert has produced using his own 3D printers and has even combined with precious metals, are unique in both the world of jewellery and that of mathematics.
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00:00 – Introduction
00:44 – Welcome, being a part of the “K-theory, algebraic cycles and motivic homotopy theory” programme, specialising in polylogarithms
05:10 – Discussing the “Gems of Hypolytos”, and the mathematics which gave rise to them
09:50 – What was the inspiration? Finding “something tangible” to display the mathematical symmetries
15:30 – Mastering the use of a 3D printer, moving on to precious metals
18:54 – The public response, selling the items online
22:12 – What does the “Gems of Hypolytos” mean? Inventing a Greek myth and poetry
25:30 – “… the first mathematical theorem that will be motivated by jewellery ”
Dan Aspel speaks to Prof Herbert Gangl to learn about his unique mathematical jewellery the “Gems of Hypolytos”.
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