Timothy G. Abbott

Vassar College, Massachusetts Institute of Technology

Papers

Total Citations

H-Index

About

Timothy G. Abbott is a computer scientist and mathematician best known for his groundbreaking work in computational geometry and discrete mathematics. His most celebrated contribution is the resolution of a long-standing open problem on hinged dissections. In his 2008 paper and its expanded 2011 version, Abbott proved that any finite collection of polygons of equal area has a common hinged dissection—a chain of polygons connected at vertices that can be continuously folded in the plane, without self-intersection, to form any shape in the collection. This elegant result, which has garnered over 35 citations, settled a classic question in geometric dissection theory and opened new avenues in reconfigurable structures and linkage design. Abbott’s work bridges pure geometry with algorithmic thinking, demonstrating how computational methods can solve fundamental problems about shape transformation. His research continues to influence fields ranging from origami mathematics to robotics, where understanding how objects can fold and unfold is essential. Abbott’s clear, rigorous proofs and his ability to tackle seemingly intractable problems with creative insight mark him as a significant figure in modern discrete geometry.