3 citations · 5 across the 5 of their papers we have counts for
5 papers
Apple-Peel Unfolding in Three and Four Dimensions: Spiral and Zonal Selection Rules
Takashi Yoshino, Supanut Chaidee
Apple-Peel Unfolding is a greedy algorithm that selects the faces (or cells) of a polyhedron (or polytope) one at a time in a spiral order, producing a net analogous to peeling an…
Apple Peel Unfolding of Archimedean and Catalan Solids
Takashi Yoshino, Supanut Chaidee
We consider a new treatment for making polyhedron nets referred to as ``apple peel unfolding'': drawing the nets as if we were peeling off appleskins. We define apple peel unfoldin…
An Algorithm for Illuminating Nonoverlapping Circular Discs' Boundaries on the Plane with Application to Tree Stem Illumination Problem
Phapaengmuang Sukkasem, Supanut Chaidee, Watit Khokthong
Given a set of nonoverlapping circular discs on a plane, we aim to determine possible positions of points (referred to as cameras) that could fully illuminate all the circular…
Existence of a Convex Polyhedron with Respect to the Given Radii
Supanut Chaidee, Kokichi Sugihara
Given a set of radii measured from a fixed point, the existence of a convex configuration with respect to the set of distinct radii in the two-dimensional case is proved when radii…
Recognition of the Spherical Laguerre Voronoi Diagram
Supanut Chaidee, Kokichi Sugihara
In this paper, we construct an algorithm for determining whether a given tessellation on a sphere is a spherical Laguerre Voronoi diagram or not. For spherical Laguerre tessellatio…