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A Study on Constructions of the Polygons by Albrecht Dürer for Mathematics Education  

Cho, Youngmi (Gongju National University of Education)
Publication Information
Journal of Educational Research in Mathematics / v.27, no.3, 2017 , pp. 581-598 More about this Journal
Abstract
The early Renaissance artist Albrecht $D{\ddot{u}}rer$ is an amateur mathematician. He published a book on geometry. In the second part of that book, $D{\ddot{u}}rer$ gave compass and straight edge constructions for the regular polygons from the triangle to the 16-gon. For mathematics education, I extracted base constructions of polygon constructions. And I also showed how to use $D{\ddot{u}}rer^{\prime}s$ idea in constructing divergent forms with compass and ruler. The contents of this paper can be expected to be the baseline data for mathematics education.
Keywords
regular polygon; construction; Albrecht $D{\ddot{u}}rer$; approximate construction;
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1 심정곤 (2006). 르네상스를 완성한 거장, 알브레히트 뒤러를 읽다. 오마이뉴스. 10월2일자.
2 유미영, 최영기 (2015). 유클리드 원론 I권 정리 22의 Diorism을 통해서 본 존재성. 수학교육학연구, 25(3), 367-379.
3 이무현 (1997), 기하학원론 : 평면기하. 서울 : 교우사.
4 Allen, J. (2007). Drawing Geometry : A Primer of Basic Forms for Artists, Designers and Architects. Floris Books.
5 Durer, A., (1538). Underweysung der Messung, mit dem Zirckel und richtscheyt. http://www.e-rara.ch/doi/10.3931/e-rara-8271.
6 Hughes, G. (2012). The Polygons of Albrecht Durer -1525. https://arxiv.org/pdf/1205.0080
7 Stewart, I.(2007). Why Beauty is Truth. 안재권, 안기연(역). 아름다움은 왜 진리인가(2010). 승산.
8 Strauss, W. L. (1977). Albrecht Durer -The Painters Manual, Abaris Books, New York.
9 Sutton, A. (2007). Ruler and Compass. Woodenbooks.