BOX DIMENSION AND MINKOWSKI CONTENT OF THE CLOTHOID. Korkut, L, Zubrinic, D, & Zupanovic, V FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 17(4):485–492, WORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE, December, 2009.
doi  abstract   bibtex   
We prove that the box dimension of the standard clothoid is equal to d = 4/3. Furthermore, this curve is Minkowski measurable, and we compute its d-dimensional Minkowski content. Oscillatory dimensions of component functions of the clothoid are also equal to 4/3.
@article{WOS:000272468700010,
abstract = {We prove that the box dimension of the standard clothoid is equal to d =
4/3. Furthermore, this curve is Minkowski measurable, and we compute its
d-dimensional Minkowski content. Oscillatory dimensions of component
functions of the clothoid are also equal to 4/3.},
address = {5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE},
author = {Korkut, L and Zubrinic, D and Zupanovic, V},
doi = {10.1142/S0218348X09004570},
issn = {0218-348X},
journal = {FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY},
keywords = {Clothoid; Fresnel Integral; Box Dimension; Minkows},
month = dec,
number = {4},
pages = {485--492},
publisher = {WORLD SCIENTIFIC PUBL CO PTE LTD},
title = {{BOX DIMENSION AND MINKOWSKI CONTENT OF THE CLOTHOID}},
type = {Article},
volume = {17},
year = {2009}
}

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