Projective Geometry: Perspectives from Art and Mathematics

Smallwood, Hilary (2009) Projective Geometry: Perspectives from Art and Mathematics. Undergraduate thesis, Fort Lewis College.

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    Abstract

    It's all in the way you look at it. This is true of many situations, and even more so when regarding the fields of art and mathematics. Some may see art and mathematics as two distinct subjects; how could the rigidity of mathematics be at all related to, or in influenced by the fluidity of art? After all mathematics is all about theorems and proofs and right or wrong answers, whereas art is determined by the imagination and interpretation of the artist. Surprisingly amidst these differences art and mathematics are connected. During the Italian Renaissance of the 15th century the development of linear perspective in art led to the development of projective geometry as a mathematical discipline. In turn, through further studies within the field of projective geometry mathematics has been able to explain the principles underlying the technique of linear perspective. The following sections will discuss linear perspective and projective geometry both in their own right as well as the unique connection between them.

    Item Type: Thesis (Undergraduate)
    Created by Student or Faculty: Student
    Uncontrolled Keywords: Honors Program
    Subjects: School of Arts, Humanities, and Social Sciences > Art
    School of Arts, Humanities, and Social Sciences > Honors Program
    School of Natural and Behavioral Sciences > Mathematics
    Depositing User: Brian Slone
    Date Deposited: 13 Apr 2012 11:31
    Last Modified: 13 Apr 2012 11:43
    URI: http://eprints.fortlewis.edu/id/eprint/27


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