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＜電子ブック＞
Serious Fun with Flexagons : A Compendium and Guide / by L.P. Pook
(Solid Mechanics and Its Applications. ISSN:22147764 ; 164)

版	1st ed. 2009.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	2009
本文言語	英語
大きさ	XVI, 330 p : online resource
著者標目	*Pook, L.P author SpringerLink (Online service)
件　名	LCSH:Geometry LCSH:Engineering LCSH:Mathematics LCSH:History FREE:Geometry FREE:Technology and Engineering FREE:Mathematics FREE:History of Mathematical Sciences
一般注記	Polygon Rings -- Fundamental Nets -- Fundamental Edge Flexagons -- Fundamental Skeletal and Point Flexagons -- Fundamental Compound Edge Flexagons -- Irregular Cycle Flexagons -- Degenerate Flexagons -- Irregular Ring Even Edge Flexagons -- Irregular Polygon Edge Flexagons -- Complex Flexagons -- Miscellaneous Flexagons A flexagon is a motion structure that has the appearance of a ring of hinged polygons. It can be flexed to display different pairs of faces, usually in cyclic order. Flexagons can be appreciated as toys or puzzles, as a recreational mathematics topic, and as the subject of serious mathematical study. Workable paper models of flexagons are easy to make and entertaining to manipulate. The mathematics of flexagons is complex, and how a flexagon works is not immediately obvious on examination of a paper model. Recent geometric analysis, included in the book, has improved theoretical understanding of flexagons, especially relationships between different types. This profusely illustrated book is arranged in a logical order appropriate for a textbook on the geometry of flexagons. It is written so that it can be enjoyed at both the recreational mathematics level, and at the serious mathematics level. The only prerequisite is some knowledge of elementary geometry, including properties of polygons. A feature of the book is a compendium of over 100 nets for making paper models of some of the more interesting flexagons, chosen to complement the text. These are accurately drawn and reproduced at half full size. Many of the nets have not previously been published. Instructions for assembling and manipulating the flexagons are included. HTTP:URL=https://doi.org/10.1007/978-90-481-2503-6

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