十芒星
出典: フリー百科事典『ウィキペディア（Wikipedia）』 (2021/09/08 00:36 UTC 版)
幾何学において、十芒星（英語: decagram、デカグラム）は、10個の角を持つ星型多角形。正十芒星は、正十角形の頂点を3つおきに結んでいくとできる図形である。シュレーフリ記号は{10/3}である[1]。
- ^ Barnes, John (2012), Gems of Geometry, Springer, pp. 28–29, ISBN 9783642309649
- ^ Sarhangi, Reza (2012), “Polyhedral Modularity in a Special Class of Decagram Based Interlocking Star Polygons”, Bridges 2012: Mathematics, Music, Art, Architecture, Culture, pp. 165–174.
- ^ Regular polytopes, p 93-95, regular star polygons, regular star compounds
- ^ Coxeter, Introduction to Geometry, second edition, 2.8 Star polygons p.36-38
- ^ The Lighter Side of Mathematics: Proceedings of the Eugène Strens Memorial Conference on Recreational Mathematics and its History, (1994), Metamorphoses of polygons, Branko Grünbaum.
- ^ Coxeter, Harold Scott MacDonald; Longuet-Higgins, M. S.; Miller, J. C. P. (1954). “Uniform polyhedra”. Philosophical Transactions of the Royal Society of London. Series A. Mathematical and Physical Sciences (The Royal Society) 246 (916): 411. Bibcode: 1954RSPTA.246..401C. doi:10.1098/rsta.1954.0003. ISSN 0080-4614. JSTOR 91532. MR0062446.
- ^ Coxeter, The Densities of the Regular polytopes I, p.43 If d is odd, the truncation of the polygon {p/q} is naturally {2n/d}. But if not, it consists of two coincident {n/(d/2)}'s; two, because each side arises from an original side and once from an original vertex. Thus the density of a polygon is unaltered by truncation.
[続きの解説]
「十芒星」の続きの解説一覧
- 1 十芒星とは
- 2 十芒星の概要
- 十芒星のページへのリンク
