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Interlocking of convex polyhedra: towards a geometric theory of fragmented solidsстатья
- Авторы: Kanel-Belov A.J., Dyskin A.V., Estrin Y., Pasternak E., Ivanov-Pogodaev I.A.
- Журнал: ArXiv e-prints
- Номер: 0812.5089
- Год издания: 2008
- Аннотация: We present structures comprised of identical convex polyhedra which are interlocked geometrically. These sets cannot be disassembled by removing individual polyhedra by translations and/or rotations. The shapes that permit interlocking arrangements include all five platonic solids. Criteria for interlocking based on transformations of the cross-sections of the elements in a 3D reconstruction of a layer from its middle cross-section are formulated. A generalization to higher dimensions is also given. In particular, an interlocking layer of four-dimensional cubes is described.
- Добавил в систему: Белов Алексей Яковлевич
Прикрепленные файлы
| № | Имя | Описание | Имя файла | Размер | Добавлен |
|---|---|---|---|---|---|
| 1. | Полный текст | 0812.5089.pdf | 239,1 КБ | 16 апреля 2016 [AlexeiBelov] |