Hyperseeing: Proceedings of Shape Creation Using Layouts, Programs, & Technology (SCULPT) 2023
Pages 39–44
Regular Papers
The object of this research is making sculpture that grows, that is, not merely changing in shape, but developing, one small step at a time, from small to large, maintaining definite, reproducible shape all the while. Recent advances in graph theory have shown that the simple quadrangulations of the sphere can be generated inductively by a set of map operations more restricted in their context of application than sets previously known. I show that this new pair of operations can be realized by local unfolding of quads that have been hinged along both diagonals. Current development of these ideas is demonstrated in a small hinged-plate model that grows from 2 quads to 6 quads.