## Mathematical modelsThis is the classic book of detailed instructions for making a wide variety of mathematical models of all kinds. Complete nets are given for all regular Archimedean and stellated polyhedra together with a number of interesting compounds. There are sections on paper folding, dissections, curve stitching, linkages, the drawing of loci and envelopes and the construction of plane tessellations. |

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### Contents

LIST OF PLATES | 11 |

MODELS IN PLANE GEOMETRY | 19 |

POLYHEDRA | 76 |

Copyright | |

4 other sections not shown

### Common terms and phrases

Alternatively Archimedean polyhedra Archimedean solids axis cement centre circular coloured cone congruent construction cube cubic cuboctahedron curve cycloid cylinder deltahedra described diagonals diagram diameter digits Dihedral angle disk dissection drawing drawn Dual easily edge Edge ellipse envelope epicycloid equal equation equilateral triangles example faces figure fixed circle four geometry given hedron hexagons hinged holes hyperbola hyperboloid icosahedron icosidodecahedron inscribed Inter-radius Dihedral angle interesting involute joined lemniscate of Bernoulli length linkage machine mathematical motion obtained octahedra octahedron paper parabola parallel parallelogram pendulum pentagon perpendicular Perspex pieces plane Plate polygon polyhedron pyramids quadric radius ratio rectangle regular rhombic dodecahedron rhombic triacontahedron right angles rolling rotating ruled surface sheet shown in Fig side slots sphere square stella octangula stellated dodecahedron straight line strip suitable surface tangent tessellations tetrahedron thread truncated truncated octahedron twisted cubic values vertex vertices wheel wire