Browsing OSU - Honors College Theses by Author "Fili, Paul"

Now showing items 1-5 of 5

    • Color symmetry in the platonic solids 

      DeHoyos, Isaiah (2019-05-10)
      Rotationally-invariant colorings of the Platonic solids are considered. Permutation representations of the symmetry groups of the Platonic solids are constructed using group actions on rotationally-invariant colorings of ...

    • Graphic matroid embeddability and Sarkaria's Theorem 

      McCoy, Wyatt (2022-05-09)
      In this paper, we intend to explore the consequences of Sarkaria's Theorem in the context of Graphic matroids. Sarkaria's Theorem states that if X is the chromatic number of the Kneser graph of a simplicial complex [Delta] ...

    • Graphs and rhythmic canons in musical composition 

      Heon, Nikole (2019-05-07)
      Musical compositions and rhythmic canons, specifically packings, are created with the use of a motif and translation set. Then undirected graphs and cliques were constructed to compare with the selection of elements for ...

    • Investigating the energy of musical chords 

      Meyer, Mitchell (2017-04-25)
      In western music, each octave is divided into 12 semitones. The number of semitones between notes played at the same time largely determines whether a chord sounds pleasing or not. In a mathematical sense, a relative energy ...

    • Using Twitter data to predict violent events 

      Hull, Kelsea (2018-05-15)