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Alternatively Archimedean polyhedra Archimedean solids axis cardboard cement centre circular coloured cone congruent construction corresponding cube cubic cuboctahedron curve cycloid cylinder deltahedra described diagonals diagram diameter digits Dihedral angles 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 hypocycloid icosahedron icosidodecahedron inscribed Inter-radius interesting involute joined length limacon 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 rhombicuboctahedron right angles rolling rotating ruled surface sheet shown in Fig side simple slots sphere square stella octangula straight line strip suitable surface tangent tessellations tetrahedron thread truncated Truncated octahedron twisted cubic values vertex vertices wheel wire