Pentadral Complices
キーワード:
pentadron,
parallelohedron,
pentadral complex,
reversibility,
tessellability,
seed of a space-filler
2015 年 23 巻 3 号 p. 246-251
詳細
2015 年 23 巻 3 号 p. 246-251
A parallelohedron is a convex polyhedron which fills the space by translations only. There are five families of parallelohedra. A pentadron is a pentahedron whose copies compose at least one member of every family of parallelohedra. A pentadral complex is a convex polyhedron which is constructed by combining copies of pentadra in a face-to-face gluing manner. In this paper, reversibilities and tessellabilities of pentadral complices and their related topics are studied.
