Spherical ModelsWell-illustrated, practical approach to creating star-faced spherical forms that can serve as basic structures for geodesic domes. Complete instructions for making models from circular bands of paper with just a ruler and compass. Discusses tessellation, or tiling, and how to make spherical models of the semiregular solids and concludes with a discussion of the relationship of polyhedra to geodesic domes and directions for building models of domes. "Very pleasant reading." — Science. |
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4-frequency arc lengths arc measures arccos arcs bands calculated central angles chord factors circular bands circumscribing sphere completed model construction cuboctahedron cumscribing sphere decagon derived dodecahe dron dual edge length edge models equilateral triangle Facial planes Figure follows frequency geodesic domes geometry given Gnomonic projections grid segment hedron hexagons hexagram icosahe icosahedral face inscribed isosceles triangle linear measures mathematical measures and bands method needed nolids octagram paper bands penta pentagon face pentagrams pentakisdodecahedron Photo Plate polygons polyhedral radians radius reflections regular and semiregular regular spherical models Rhombicuboctahedron Rhombitruncated right angles semiregular polyhedrons shown in Fig shows small stellated dodecahedron smaller triangles snub cube snub dodecahedron spherical cube spherical icosahedron spherical trigonometry square stars tahedron templates tessellated network tessellation tetrahedral three regular spherical tion triangle face Truncated cube Truncated dodecahedron truncated icosahedron Truncated octahedron Truncated tetrahedron uniform polyhedrons