RecordNumber
1864
Author
Yoon, Kyongil
Title of Article
Analytical Calculation of Geodesic Lengths and Angle Measures on Sphere Tiling of Platonic and Archimedean Solids
Title Of Journal
Bridges
Publication Year
2012
Page
509-512
Notes
Bridges 2012: Mathematics, Music, Art, Architecture, Culture , براي دانلود و مشاهده مقاله به قسمت لينكهاي مرتبط مراجعه نماييد
Abstract
There are five Platonic solids and thirteen Archimedean solids, and they have many interesting characteristics. One of them is that their faces can be projected outward to a circumscribing sphere, producing tilings of the sphere. In this paper we show how to use analytical methods to calculate the lengths of the geodesics and the measures of the angles for these tilings.
URL
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