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On the Minimum Slicing Problem

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Given an arbitrary small rigid object enclosed by another arbitrary rigid object and the inner object could not be seen from the outside of the outer object, the minimum slicing problem is to find the smallest numbers of slices that has to be made across the objects before the longest length between two points on the perimeter of the inner object is found. General, trivial solution to this problem is by brute-force method of infinite slice. Non-trivial solution is via Sylow’s Geometric Group Theorem.
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Keywords: Group Theory; LB Slicing Problem; Sylow’s Theorem

Document Type: Research Article

Affiliations: 1: FRICS Labs, Faculty of Engineering, Universiti Malaysia Sabah, Kota Kinabalu, Sabah, Malaysia 2: Faculty of Computing and Informatics, Universiti Malaysia Sabah, Kota Kinabalu, Sabah, Malaysia

Publication date: November 1, 2017

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