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- W34504590 abstract "This chapter describes the fractals for everyone. Fractal geometry studies complicated subsets of geometrically simple spaces such as the Euclidean plane. The focus is on those subsets of a space that are generated by, or possess invariance properties under, simple geometrical transformations of the space into itself. A simple geometrical transformation is one that is easily conveyed or explained to someone else. Usually it can be completely specified by a small set of parameters. The importance of two-dimensional affine transformations, which are expressed using 2 × 2 matrices and 2-vectors, is emphasized. The device of applying the various functions available on the fractal design screen to a single affine transformation teaches the nature of affine transformations and will help to understand the various types of transformations which can be applied in the present system and the meaning of the messages that appear at the bottom of the screen. In the desktop fractal design system, there can be no more than 16 transformations in an IFS, which means that TV is less than or equal to 16. Each IFSs can be represented completely by the coefficients in the affine transformations that define it." @default.
- W34504590 created "2016-06-24" @default.
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- W34504590 date "1989-01-01" @default.
- W34504590 modified "2023-09-27" @default.
- W34504590 title "Fractals for Everyone" @default.
- W34504590 doi "https://doi.org/10.1016/b978-0-12-079063-0.50006-3" @default.
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