Graduation Year
2003
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Francis Su
Reader 2
Henry Krieger
Abstract
How many triangles does it take to make a square? The answer is simple: two. This problem has a direct analogue in dimensions three and higher, but the answers are much harder to find. We provide new lower bounds in dimensions 4 through 13, an asymptotic lower bound which is inferior to the best known bound in high dimensions, and some new ideas which produce good upper bounds in both low and high dimensions.
Recommended Citation
Bliss, Adam, "Covering Numbers of the Cubes" (2003). HMC Senior Theses. 141.
https://scholarship.claremont.edu/hmc_theses/141
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