4 0 0 0 OA Pentadral Complices

著者
Jin Akiyama Hyunwoo Seong
出版者
一般社団法人 情報処理学会
雑誌
Journal of Information Processing (ISSN:18826652)
巻号頁・発行日
vol.23, no.3, pp.246-251, 2015 (Released:2015-05-15)
参考文献数
8
被引用文献数
1

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.

1 0 0 0 OA Pentadral Complices

著者
Jin Akiyama Hyunwoo Seong
雑誌
情報処理学会論文誌 (ISSN:18827764)
巻号頁・発行日
vol.56, no.5, 2015-05-15

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.------------------------------This is a preprint of an article intended for publication Journal ofInformation Processing(JIP). This preprint should not be cited. Thisarticle should be cited as: Journal of Information Processing Vol.23(2015) No.3 (online)DOI http://dx.doi.org/10.2197/ipsjjip.23.246------------------------------