Some New Equiprojective Polyhedra
Computational Geometry
2010-09-14 v1 Discrete Mathematics
Abstract
A convex polyhedron is -equiprojective if all of its orthogonal projections, i.e., shadows, except those parallel to the faces of are -gon for some fixed value of . Since 1968, it is an open problem to construct all equiprojective polyhedra. Recently, Hasan and Lubiw [CGTA 40(2):148-155, 2008] have given a characterization of equiprojective polyhedra. Based on their characterization, in this paper we discover some new equiprojective polyhedra by cutting and gluing existing polyhedra.
Keywords
Cite
@article{arxiv.1009.2252,
title = {Some New Equiprojective Polyhedra},
author = {Masud Hasan and Mohammad Monoar Hossain and Alejandro López-Ortiz and Sabrina Nusrat and Saad Altaful Quader and Nabila Rahman},
journal= {arXiv preprint arXiv:1009.2252},
year = {2010}
}
Comments
10 pages, 8 figures