Date of Completion
Spring 5-1-2022
Thesis Advisor(s)
Thomas Roby
Honors Major
Mathematics
Disciplines
Mathematics
Abstract
A polyomino of size n is constructed by joining n unit squares together by their edge to form a shape in the plane. This thesis will first examine the formal definition of a polyomino and the common equivalence classes polyominos are enumerated under. We then turn to polyomino families, and provide exact enumeration results for certain families, including the minimal inscribed polyominos. Next we will generalize polyominos to polyforms, and provide novel formulae for polyform analogues of minimal inscribed polyominos. Finally, we discuss some further questions concerning minimal inscribed polyforms.
Recommended Citation
Hanke, Jack, "Minimal Inscribed Polyforms" (2022). Honors Scholar Theses. 916.
https://digitalcommons.lib.uconn.edu/srhonors_theses/916