This paper describes the economical placing of braces in the walls and ceiling of a rectangular one-story building. First, efficient schemes for bracing the ceiling are shown to correspond to trees in a bipartite graph. Then a combinatorial analysis shows how certain sets of braces in vertical...

In this paper Combes's (1976) formulae for counting the number of edges in the rectangular dissection of a rectangle are deduced directly through graph-theoretical considerations.

A theory of the design process, based on an analogy with the well-known Markov process in probability theory, is developed and applied in this paper. Design is considered as a process of averaging a set of conflicting factors, and the sequential averaging characteristic of the Markov process is...

Floor-space ratios and bonus floor-space regulations are widely used for controlling the form of buildings and activity concentrations in central business districts of cities. This paper contains estimates of the likely effects these types of regulations would have on rates of return for a case...

This paper is the first of two which taken together will give an account of some research on the relationship between one kind of designed environment, the office interior, and one kind of social group, the office organization. This first paper reviews some attempts to describe the nature of...

This paper introduces a stochastic model useful for the evaluation of building performance or decay. The model is especially structured to allow prediction of the value of alternative adaptation during a building's lifetime. It is designed for conditions in which only scanty data on building...

Minimal gratings have been used in work on rectangular dissections and other descriptions of architectural form. In this brief paper the set of minimal gratings and its cardinality are specified for dissections of weight <I>n</I>. Two theorems are demonstrated, and it is found that these are applicable...</i>

In this paper the urban-planning process is explored and modelled using a variety of concepts and techniques drawn from the theory of games. The rationale for using game theory as a basis for simulating the design process is presented first, and this serves to highlight the major features of...

This paper presents a comparison of five methods of representing a general spatial rigid-body rotation about a fixed point. The following representations are considered: the real orthogonal 3 x 3 matrix; the special unitary 2 x 2 matrix; the Pauli spin matrices; the unit quaternion; and the...