Geometry and Art with a Circle Cutter
Inhaltsverzeichnis
Reference
Roberta La Haye: Geometry and Art with a Circle Cutter. In: Bridges 2012. Pages 425–428
DOI
Abstract
This paper draws attention to a method for constructing polyhedra such as the Platonic solids from circles. The construction method naturally segues into exploring and reinforcing various geometric concepts from the elementary to the university level. Practical, pedagogical and aesthetic reasons for using a circle cutter to construct polyhedra are discussed.
Extended Abstract
Bibtex
Used References
[1] Forging Connections Conference website, http://forgingconnections.wordpress.com/ (as of Feb. 17, 2012)
[2] George Hart, H-construction, http://georgehart.com/puzzles/H-puzzle.html (as of Feb. 17, 2012)
[3] Aunt Annie’s Crafts, Platonic solids, http://www.auntannie.com/Geometric/PlatonicSolids/ (as of Feb. 17, 2012)
[4] The Mathlab.com, Making the Dice of the Gods, http://www.themathlab.com/wonders/godsdice/godsdice.htm (as of Feb. 17, 2012)
[5] Douglas B. Aichele and John Wolfe, Geometric Structures, An Inquiry Based Approach for Prospective Elementary and Middle School Teachers, Pearson Prentice Hall, (2008), pp. 5-6.
[6] Sándor Kabai, “Inside and Outside the Rhombic Hexecontahedron,” Proceedings of Bridges 2011, pp.387-394.
[7] Gerard A. Venema, Foundations of Geometry, (2012), Pearson.
Links
Full Text
http://archive.bridgesmathart.org/2012/bridges2012-425.pdf
