28 citations · 270 across the 43 of their papers we have counts for
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math.GT2019★ 6 cited
Knots with Exactly 10 Sticks
Ryan Blair, Thomas D. Eddy, Nathaniel Morrison +1
We prove that the knots and both have stick number 10. These are the first non-torus prime knots with more than 9 crossings for which the exact stick num…
math.GT2019★ 6 cited
New Stick Number Bounds from Random Sampling of Confined Polygons
Thomas D. Eddy, Clayton Shonkwiler
The stick number of a knot is the minimum number of segments needed to build a polygonal version of the knot. Despite its elementary definition and relevance to physical knots, the…
math.HO2019
Stiefel manifolds and polygons
Clayton Shonkwiler
Polygons are compound geometric objects, but when trying to understand the expected behavior of a large collection of random polygons -- or even to formalize what a random polygon…