Abstract
The Chokuhotai-Bunkatsu-Zu, in Japanese, mean figures which represent how to partition a rectangular prism into some small rectangular prisms. So this is a model of a building which forms of outside view and inside rooms are both rectangular prisms. At first, all patterns of the C.B.Z. which have from 1 to 6 rooms and 7 rooms of K_Z=1 (one unit high) are generated with a digital computer and are classified with connected graphs which represent how all rooms are adjacency each other in a C.B.Z. These results are showed in Figure-4. When a connected graph which represents a function of a building is given, it is possible to decide with this figure whether a C.B.Z. which accommodates the given graph will exist or not. Next, all patterns of connected subgraphs which cannot be accommodated in the C.B.Z. are obtained and are classified into 4 types. A few example of each type is shown in Figure-7. It is impossible to generate a outline plan of a rectangular prismatic building which accommodates a connected graph contains any type of them in the initial planning conditions to represent a function of the building. In this paper, inner partition planes of the C.B.Z. are not allowed to intersect crosswise one another. As far as the C.B.Z. is utilized to allocate floor spaces and heights of rooms to generate a outline plan of a building, generality is not miss on account of this rule.
