IAT 233 Chapter Notes - Chapter 3: Geometric Shape, Polygonal Chain, Polyhedron
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A form can be transformed by altering one or more of its dimensions and still retain its identity as a member of a family of forms. A cube, for example, can be transformed into similar prismatic forms through discrete changes in height, width or length. It can be compressed into planar form or stretched into a linear one. A form can be transformed subtracting a portion of its volume. Depending on the extent of the subtractive process, the form can retain its initial identity or be transformed into a form of another family. For example, a cube can retain its identity even though a portion is removed or transformed into a series of regular polyhedrons that mimic a sphere. In geometry, a polyhedron is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners or vertices.