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Filtering by: Creator Manogue, Corinne A. Remove constraint Creator: Manogue, Corinne A. Advisor Dray, Tevian Remove constraint Advisor: Dray, Tevian Degree Name Honors Bachelor of Science (H.B.S.) Remove constraint Degree Name: Honors Bachelor of Science (H.B.S.)

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  • The geometry of the octonionic multiplication table

    Creator:
    Killgore, Peter Lloyd
    Abstract:
    We analyze some symmetries of the octonionic multiplication table, expressed in terms of the Fano plane. In particular, we count how many ways the Fano plane can be labeled as the octonionic multiplication table, all corresponding to a specified octonion algebra. We show that only 28 of these labelings of...
    Resource Type:
    Honors College Thesis
    Full Text:
    Corinne Manogue, Committee Member, representing Physics Clayton Petsche, Committee Member, representing

  • Orienting the Cube in Minkowski Space and Orienting Myself in Mathematics

    Creator:
    O'Harrow, Josie
    Abstract:
    This is a two-part thesis. The first part is a generalization of vector calculus tools to Minkowski Space, a non-Euclidean 3-dimensional geometry that has a distance function that is not positive definite. We orient a cube in Minkowski Space using the generalized Stokes' Theorem to relate a divergence integral to...
    Resource Type:
    Honors College Thesis
    Full Text:
    in Mathematics By Jo O’Harrow A THESIS submitted to Oregon State University Honors College in