Graduation Year
2016
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Satyan L. Devadoss
Reader 2
Dagan Karp
Terms of Use & License Information
Rights Information
© 2016 Patrick N Tierney
Abstract
The associahedron has appeared in numerous contexts throughout the field of mathematics. By representing the associahedron as a poset of tubings, Michael Carr and Satyan L. Devadoss were able to create a gener- alized version of the associahedron in the graph-associahedron. We seek to create an alternative generalization of the associahedron by considering a particle-collision model. By extending this model to what we dub the 2- associahedron, we seek to further understand the space of generalizations of the associahedron.
Recommended Citation
Tierney, Patrick N., "Realizing the 2-Associahedron" (2016). HMC Senior Theses. 77.
https://scholarship.claremont.edu/hmc_theses/77
Source Fulltext
https://www.math.hmc.edu/~ptierney/thesis/ptierney-2016-thesis.pdf
