TY - BOOK ID - 7986073 TI - Serious Fun with Flexagons : A Compendium and Guide PY - 2009 SN - 9400736800 9048125022 9786612655609 1282655604 9048125030 PB - Dordrecht : Springer Netherlands : Imprint: Springer, DB - UniCat KW - Geometry, Solid --Models. KW - Mathematical recreations. KW - Paper work. KW - Polygons --Models. KW - Polyhedra --Models. KW - Geometry, Solid KW - Polygons KW - Polyhedra KW - Paper work KW - Mathematical recreations KW - Mathematics KW - Physical Sciences & Mathematics KW - Geometry KW - Models KW - Mathematical puzzles KW - Number games KW - Recreational mathematics KW - Recreations, Mathematical KW - Paper craft KW - Paper-cutting KW - Paper folding (Handicraft) KW - Papercraft KW - Polygonal figures KW - Solid geometry KW - Mathematics. KW - Geometry. KW - History. KW - Engineering. KW - Engineering, general. KW - Mathematics, general. KW - History of Mathematical Sciences. KW - Models. KW - Puzzles KW - Scientific recreations KW - Games in mathematics education KW - Magic squares KW - Magic tricks in mathematics education KW - Geometrical models KW - Math KW - Science KW - Construction KW - Industrial arts KW - Technology KW - Euclid's Elements KW - Annals KW - Auxiliary sciences of history UR - https://www.unicat.be/uniCat?func=search&query=sysid:7986073 AB - 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. . ER -