On the Number of Rooms in a Rectangular Solid Dissection

Abstract

In these years, 3D-LSIs which consist of several silicon layers have been developed and attracted attention. For floorplaning of 3D-LSIs, a rectangular solid dissection, which is a dissection of a rectangular solid into smaller rectangular solids by planes, also has attracted attention and been studied much. However, not so many properties have been clarified about a rectangular solid dissection. This paper presents the relation between the number of rooms and that of walls in a rectangular solid dissection.