Abstract
In this chapter we will provide applications of the syntactic rules established in Chapter III for the generation and evolution of geometric forms. Most of these two-dimensional and three-dimensional forms are either taken directly from classical geometry or derived from geometric shapes, but some of the models have been inspired by more abstract geometries, such as topology, differential geometry, and projective geometry.
To earth let us give the cubic form... that solid which has taken the form of pyramid shall be the element and seed of fire; the second in order of generation [octahedron] we shall affirm to be air, and the third [icosahedron] water.
Plato
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© 1994 Springer Science+Business Media New York
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Bertol, D. (1994). CAD Generation and Evolution for Geometric Forms. In: Visualizing with CAD. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-6946-3_4
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DOI: https://doi.org/10.1007/978-1-4757-6946-3_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-94275-9
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