POLYCONS: the tetracon (sphericon) has found its family.

Animation: Shalom Buberman
Music: Nadav Cohen
The film was screened at the 2019 Bridges Conference film festival. It describes an art work that I exhibited at the conference's art exhibition. This work is for me a story of coming full circle. In 1980 I registered a patent named 'a device for generating a meander motion'. It described a solid with a single developable face. Later I named it 'tetracon' (it is also known today as the sphericon). Since then, more solids have been found that shared the same property, but the tetracon was unique in having a face made of a uniform surface rather than various kinds of surfaces. Recently, I was asking myself whether there were other solids sharing this characteristic. This led me to a new study whose outcome was, to my joy, the discovery of a new family of solids, of which the tetracon is the first member. Thus the tetracon has now found its family and I was lucky to come full circle and meet my original inspiration again.
David Hirsch
Polycon paper: https://arxiv.org/abs/1901.10677
Website: https://www.youtube.com/redirect?q=ht...
See also:    • The hexacon in motion  
   • Rolling tetracon (sphericon)