Zhang, Fangyu and Zhang, Yuqin and Han, Mei (2021) Covering a Regular Tetrahedron with Diminished Copies. Journal of Advances in Mathematics and Computer Science, 36 (4). pp. 23-29. ISSN 2456-9968
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Official URL: https://doi.org/10.9734/jamcs/2021/v36i430354
Abstract
Let T be a unit regular tetrahedron. A diminished copy of T is the image of T under a homothety with positive ratio smaller than 1. Let m be a positive integer and let γm(T) be the smallest positive number r such that T can be covered by m translates of rT. Zong gave the results of γ4(T) = 3/4and γ5(T) = 9/13. However, the values of γ6(T) , γ7(T) and γ8(T) were not given then. In this article we give the upper bounds of γ6(T), γ7(T) and γ8(T).
| Item Type: | Article |
|---|---|
| Subjects: | STM Repository > Mathematical Science |
| Depositing User: | Managing Editor |
| Date Deposited: | 11 Mar 2023 07:33 |
| Last Modified: | 24 Apr 2024 09:01 |
| URI: | http://classical.goforpromo.com/id/eprint/2714 |
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