Author ORCID Identifier
Degree Year
2023
Document Type
Thesis - Oberlin Community Only
Degree Name
Bachelor of Arts
Department
Mathematics
Advisor(s)
Kevin Woods
Committee Member(s)
Kevin Woods
Ben Linowitz
Will Ott
Keywords
Affine semigroups, Continued fractions
Abstract
Given any two nonnegative integer points in the real plane, we consider all the integer points in their conical hull. We then find the unique minimal generating set of these points under coordinate-wise addition. In the process, we use negative continued fractions the approximate the slopes of the lines through the origin and these two points.
Repository Citation
Fisher, Augustine, "Minimal Generating Set of an Integer Cone" (2023). Honors Papers. 875.
https://digitalcommons.oberlin.edu/honors/875
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