Document Type
Poster
Abstract
The Wallace-Bolyai-Gerwien theorem states any polygon can be decomposed into a finite number of polygonal pieces that can be translated and rotated to form any polygon of equal area. However, the minimal number of pieces to form a common dissection remains unknown, as does any proved methodology for determining the minimum number of pieces. Using known dissections, we investigate mathematical similarities between the dissections. Specifically, we attempt to determine an efficient way to test for the minimum number of pieces.
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Publication Date
2018
Keywords
mathematics, polygon dissections, Wallace-Bolyai-Gerwien theorem
Disciplines
Algebraic Geometry | Mathematics
Recommended Citation
Chmielewski-Anders, Maegan; DeGiovanni, Trent; and Tolson, Hannah, "An Exploration into Various Methods for Comparing Known Polygon Dissections" (2018). Math Student Scholarship. 8.
https://repository.gonzaga.edu/mathstudentschol/8
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