Implementing "Gravity" in Hyperdimensional m,n,k Games
Honors Capstone Project
1
Advisor(s)
Dr. Yong Wang, Dr. Jennifer Moore
Confirmation
1
Document Type
Paper
Location
ONU McIntosh Center; Activities Room
Start Date
21-4-2026 4:45 PM
End Date
21-4-2026 5:00 PM
Abstract
My Statistics Capstone considers the randomized outcome distribution of a novel set of hyperdimensional m,n,k games, games similar to tic-tac-toe which have variable grid lengths and exist in hyperdimensional space. My Honors Capstone Enhancement expands on this research by introducing a completely new game mechanic which behaves like gravity; it restricts the player’s movement along a particular spatial dimension. For games in hyperdimensional space rather than two-dimensional space, I consider multiple conceptions and applications of the “gravity” mechanic. This presentation will briefly overview how I simulate hyperdimensional games, how I incorporate the gravity mechanic, and how incorporating the gravity mechanic affects the distribution of game outcomes.
Recommended Citation
Mott, Gabriel, "Implementing "Gravity" in Hyperdimensional m,n,k Games" (2026). ONU Student Research Colloquium. 10.
https://digitalcommons.onu.edu/student_research_colloquium/2026/Papers/10
Restricted
Available to ONU community via local IP address and ONU login.
Implementing "Gravity" in Hyperdimensional m,n,k Games
ONU McIntosh Center; Activities Room
My Statistics Capstone considers the randomized outcome distribution of a novel set of hyperdimensional m,n,k games, games similar to tic-tac-toe which have variable grid lengths and exist in hyperdimensional space. My Honors Capstone Enhancement expands on this research by introducing a completely new game mechanic which behaves like gravity; it restricts the player’s movement along a particular spatial dimension. For games in hyperdimensional space rather than two-dimensional space, I consider multiple conceptions and applications of the “gravity” mechanic. This presentation will briefly overview how I simulate hyperdimensional games, how I incorporate the gravity mechanic, and how incorporating the gravity mechanic affects the distribution of game outcomes.