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On Takagi Fractal Surfaces
Published online by Cambridge University Press: 20 November 2018
Abstract
This paper presents a new type of fractal surfaces called the Takagi surfaces. These are obtained by summing up pyramids of increasing (doubling) frequencies scaled by a geometric ratio b. The fractal dimension (box dimension) of the graph of these functions is shown to be log 8b/log 2.
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- Copyright © Canadian Mathematical Society 1989
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