Small, very convex mirrors create images of effectively the whole visual world around themselves. Aspects of the geometry of such images are explored by employing optical ray-tracing techniques in mapping information in the optic array onto a plane. Some applications are suggested for...

Feasibility studies of various architectural projects lead to an analysis of planar configurations possessing a maximal number of adjacent-relations. This work extends current understanding of the properties of such configurations and describes a method for their creation. In practice, only...

Abstract. The common structure underlying production system formalisms is developed. A variety of production system formalisms are summarized in terms of this structure. The structure is useful both for understanding existing types of production systems and for developing new ones.

This paper shows that a wall representation, <I>W_n</I>, uniquely defines a geometrically meaningful relation between any two spaces contained in it. The set of such relations is called an <I>orthogonal structure</I>; it is realized by any <nobr>T-plan</nobr> <I>G_n</I> belonging to <I>C</I>(<I>W_n</I>).

Algorithms for the Boolean operations and relations on shapes and labelled shapes are presented.

This paper applies concepts of set and graph theory to the problems of designing a multi-mode transport network that will absorb the minimum amount of travel time for the urban population as a whole. Certain concepts are defined, including those of a quasi-order relation, a selection set, and a...

This paper is a commentary on some relationships between social science and design theory, issues which have been raised in recent books including <I>Architecture and its Interpretation</I> (Bonta, 1979) and <I>Signs, Symbols, and Architecture</I> (Broadbent et al, 1980). It is argued that the present...</i></i>

There are many methods and techniques available to environmental designers to obtain and use information on spatial behavior, attitudes, preferences, opinions, and so on. Among them are rating-scale techniques. This paper discusses these from a particular theoretical orientation and covers the...

The conventions used to design Mughul gardens are characterized. These conventions are represented by a parametric shape grammar.