Geometric properties of rocks, broken into blocks by cracks
Čebyševskij sbornik, Tome 24 (2023) no. 5, pp. 208-216

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The splitting of rock massifs into blocks by cracks is considered. Taking as a basis a model in which cracks are systems of unlimited equidistant (i.e. parallel and equidistant) plane systems, the article examines the distribution of blocks by volumes and shapes and presents a method that allows you to find the distribution of blocks not only by volume, as all previously developed methods, but also by other geometric parameters.
Keywords: Combinatorial geometry, space partitioning, self-locking structures.
@article{CHEB_2023_24_5_a13,
     author = {A. Ya. Kanel-Belov and V. V. Pavlova and V. O. Kirova},
     title = {Geometric properties of rocks, broken into blocks by cracks},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {208--216},
     publisher = {mathdoc},
     volume = {24},
     number = {5},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2023_24_5_a13/}
}
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A. Ya. Kanel-Belov; V. V. Pavlova; V. O. Kirova. Geometric properties of rocks, broken into blocks by cracks. Čebyševskij sbornik, Tome 24 (2023) no. 5, pp. 208-216. http://geodesic.mathdoc.fr/item/CHEB_2023_24_5_a13/