RecordNumber
2160
Author
Klaus, Stephan
Crop_Body
Stephan Klaus and Bianca Violet
Title of Article
Katzengold: Pyrite, Plato, and a Polynomial
Title Of Journal
Bridges
Publication Year
2015
Page
395-398
Notes
Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture , براي مشاهده و دانلود مقاله به لينك مدارك مرتبط مراجعه نماييد
Abstract
What are the similarities of the mineral pyrite, the dodecahedron as the fifth Platonic solid, and a polynomial of degree 16? This paper explores this connection by using the free software SURFER of the IMAGINARY open mathematics platform, which leads to fascinating pictures displaying transformations from a cube to a dodecahedron, to a rhombic dodecahedron, and to an octahedron, using a single formula. A survey on the ideas and the mathematics behind these visualizations is given. In fact, everyone can explore and modify these forms in real time using the SURFER software. Moreover, the authors have created a short movie, demonstrating the simple geometric beauty.
URL
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