29 citations · 46 across the 3 of their papers we have counts for
3 papers
A Generalized Carpenter's Rule Theorem for Self-Touching Linkages
Timothy G. Abbott, Erik D. Demaine, Blaise Gassend
The Carpenter's Rule Theorem states that any chain linkage in the plane can be folded continuously between any two configurations while preserving the bar lengths and without the b…
Hinged Dissections Exist
Timothy G. Abbott, Zachary Abel, David Charlton +3
We prove that any finite collection of polygons of equal area has a common hinged dissection. That is, for any such collection of polygons there exists a chain of polygons hinged a…
Bounding Picard numbers of surfaces using p-adic cohomology
Timothy G. Abbott, Kiran S. Kedlaya, David Roe
Motivated by an application to LDPC (low density parity check) algebraic geometry codes described by Voloch and Zarzar, we describe a computational procedure for establishing an up…