Flexagons Inside OutCambridge University Press, 2003 - 170 pagina's Flexagons are hinged polygons that have the intriguing property of displaying different pairs of faces when they are flexed. Workable paper models of flexagons are easy to make and entertaining to manipulate. Flexagons have a surprisingly complex mathematical structure and just how a flexagon works is not obvious on casual examination of a paper model. Flexagons may be appreciated at three different levels. Firstly as toys or puzzles, secondly as a recreational mathematics topic and finally as the subject of serious mathematical study. This book is written for anyone interested in puzzles or recreational maths. No previous knowledge of flexagons is assumed, and the only pre-requisite is some knowledge of elementary geometry. An attractive feature of the book is a collection of nets, with assembly instructions, for a wide range of paper models of flexagons. These are printed full size and laid out so they can be photocopied. |
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angle triangle flexagon bending the leaves box position links complete cycle compound flexagons compound ring compound square flexagon Conrad and Hartline convex polygon flexagon cycle compound cycle hexagon flexagon cycle pentagon flexagon cycle square flexagon degrees of freedom dihedral angle distorted polygon flexagons dynamic behaviour enantiomorphic face number faced rhombus flexagon flexagon Section flexatube four faced rhombus hexaflexagon hinges hyperfaced cube flexahedron incomplete intermediate position map main position 2(1 main position link McIntosh Modified flexagon figures number of sides open ended box pairs paper models pinch flex position 1(2 principal cycle hexagon principal cycle pentagon principal main position push through flex regular convex polygons regular polygons regular single cycle regular single principal right angle triangle ring flexagon Schläfli symbol shown in Fig simplified map single cycle square single leaves single principal cycle square flexagon Fig star polygon subsidiary cycles subsidiary main positions truncated cube truncated digon flexagon Tuckerman diagram typical convex polygon