Event Title

Regular Polygon Patterns

Presenter Information

Zachary Smith, Mathematics

Faculty Sponsor(s)

Emma Wright

Abstract

Consider a regular n-gon. Is there a way to construct smaller regular n-gons inside in a repeating pattern? To explore this idea, a new definition is used. Similar to a midpoint, a halfpoint cuts a segment at a third of the segment’s length. Using the halfpoints of the sides of the existing n-gon, a smaller n-gon can be constructed inside. Studying patterns with equilateral triangles as well as squares can help lead to this result. Additionally, this process can be repeated indefinitely, creating smaller and smaller n-gons. This creates even more patterns within the n-gon to explore.

Location

Hartman Union Building Courtroom

Start Date

5-2-2019 4:00 PM

End Date

5-2-2019 5:00 PM

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May 2nd, 4:00 PM May 2nd, 5:00 PM

Regular Polygon Patterns

Hartman Union Building Courtroom

Consider a regular n-gon. Is there a way to construct smaller regular n-gons inside in a repeating pattern? To explore this idea, a new definition is used. Similar to a midpoint, a halfpoint cuts a segment at a third of the segment’s length. Using the halfpoints of the sides of the existing n-gon, a smaller n-gon can be constructed inside. Studying patterns with equilateral triangles as well as squares can help lead to this result. Additionally, this process can be repeated indefinitely, creating smaller and smaller n-gons. This creates even more patterns within the n-gon to explore.