Geodesic
On Takagi Fractal Surfaces
Canadian mathematical bulletin, Tome 32 (1989) no. 3, pp. 377-384

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DOI

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. 
Dubuc, Benoit. On Takagi Fractal Surfaces. Canadian mathematical bulletin, Tome 32 (1989) no. 3, pp. 377-384. doi: 10.4153/CMB-1989-055-3
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     author = {Dubuc, Benoit},
     title = {On {Takagi} {Fractal} {Surfaces}},
     journal = {Canadian mathematical bulletin},
     pages = {377--384},
     year = {1989},
     volume = {32},
     number = {3},
     doi = {10.4153/CMB-1989-055-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-055-3/}
}
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