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math.GT2018★ 1 cited
Lattice Diagrams of Knots and Diagrams of Lattice Stick Knots
Margaret Allardice, Ethan D. Bloch
We give a simple example showing that a knot or link diagram that lies in the lattice is not necessarily the projection of a lattice stick knot or link in the ${\m…
math.GT2007
A Characterization of the Angle Defect and the Euler Characteristic in Dimension 2 -- Preliminary Draft
Ethan D. Bloch
The angle defect, which is the standard way to measure curvature at the vertices of polyhedral surfaces, goes back at least as far as Descartes. Although the angle defect has been…
math.GT2003★ 1 cited
The angle defect for odd-dimensional simplicial manifolds
Ethan D. Bloch
In a 1967 paper, Banchoff stated that a certain type of polyhedral curvature, that applies to all finite polyhedra, was zero at all vertices of an odd-dimensional polyhedral manifo…