26 citations · 28 across the 3 of their papers we have counts for
3 papers
math.CO2025
Enumeration of Corona for Lozenge Tilings
Craig Knecht, Feihu Liu, Guoce Xin
Knecht considers the enumeration of coronas. This is a counting problem for two specific types of lozenge tilings. Their exact closed formulas are conjectured in [A380346] and [A38…
cond-mat.stat-mech2023★ 2 cited
Entropy and chirality in sphinx tilings
Greg Huber, Craig Knecht, Walter Trump +1
As a toy model of chiral interactions in crowded spaces, we consider sphinx tilings in finite regions of the triangular lattice. The sphinx tiles, hexiamonds composed of six equila…
cond-mat.dis-nn2011★ 26 cited
Retention capacity of random surfaces
Craig L. Knecht, Walter Trump, Daniel ben-Avraham +1
We introduce a "water retention" model for liquids captured on a random surface with open boundaries, and investigate it for both continuous and discrete surface heights 0, 1, ...…