NOTE ON ILLUMINATING CONSTANT WIDTH BODIES

Authors

Alexey Glazyrin, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

2023

Abstract

Recently, Arman, Bondarenko, and Prymak constructed a constant width body in R n whose illumination number is exponential in n. In this note, we improve their bound by generalizing the construction. In particular, we construct a constant width body in R n whose illumination number is at least (τ + o(1))n, where τ ≈ 1.047.

Recommended Citation

Glazyrin, Alexey. "Note on illuminating constant width bodies." arXiv preprint arXiv:2305.04485 (2023).