Polyhedra: A Visual ApproachDale Seymour Publications, 1990 - 118 頁 Polyhedra: A Visual Approach provides an introduction to polyhedra for readers who are not necessarily mathematicians. The study of polyhedra - fascinating figures constructed of interrelated shapes - is usually regarded as a branch of geometry. In fact, most books on the subject have been written for readers with a mathematical background. However, Polyhedra: A Visual Approach describes these figures in simple, visual terms. This book focuses on regular and semiregular convex polyhedra first. Then these are used as bases for the development of several families of irregular figures, including geodesic polyhedra - the domes made famous by R. Buckminster Fuller. Polyhedra: A Visual Approach will interest readers from many different backgrounds. Mathematicians and scientists may discover that a visual approach opens up new possibilities. Artists, architects, designers, and engineers should find it a valuable exercise in three dimensions that increases their abilities in manipulating space. And general readers will be drawn to the uncomplicated description of polyhedra - fascinating figures that have inspired many a brilliant thinker. -- from back cover. |
內容
The Archimedean Polyhedra Facially Regular Prisms | 15 |
Further Convex Polyhedra with Regular Faces | 28 |
Joining Polyhedra | 45 |
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常見字詞
Alternate Method Archimedean polyhedra chord factor circuits circumscribing sphere circumsphere close-packing arrangement congruent connectors constructed convex polygons convex polyhedron cuboctahedron decagonal deltahedron dihedral angle dome drawing dual edge lengths edge to edge equal equilateral triangles example face angles facially regular antiprisms facially regular prisms figures derived geodesic lines geodesic polyhedra Golden Proportion Golden Rectangle hedron hexagonal antiprism hexagonal faces hexagonal prism icosidodecahedron imaginary cubes insphere intersphere joining polyhedra midpoints number of faces octagon octahedra pairs pentagonal dodecahedron pentagonal faces pentagonal prism pentagonal pyramids plane Platonic polyhedra principal polyhedron prisms and antiprisms R₁ radius regular faces regular polygons regular polyhedra rhombic dodecahedron rhombicosidodecahedron rotating second truncation shown in Diagram sketch small circle small rhombicuboctahedron snub cube square faces square pyramids stable struts subdivided tape tessellation third truncation Three frequencies triakis tetrahedron triangular faces truncated cube truncated icosahedron truncated octahedron truncated tetrahedron vertex figures vertices Diagram vertices touch