This paper describes an exercise in which a well-documented computer model was used by a building manager to predict the thermal performance of projected extensions to a large international headquarters building. A range of planning options were analysed, the effect of different architectural...

The aim of this paper is to present a view of the basic concepts used in research into formal architectures. The concept of a language of architecture is a set of constructions analogous to a set of strings. All in all, the static description of architecture by means of graphs and semilattices...

Representations are developed for kinematic chains in terms of the incidence between the component links both at pairs and at joints. Coplanar kinematic chains with only revolute pairs are considered in this paper.

Functional requirements in architectural design are usually expressed verbally as normative statements (norms) to be satisfied by the physical design. The norms may be formalised and propositional calculus used to determine an exhaustive set of possible solutions (and vice versa). Some early...

The enumeration of zero - one matrices with nonzero row and column sums has recently been solved in the context of certain problems arising in architectural design. However, this solution took no account of the symmetries of these configurations, which would be required for any realistic...

This paper presents a statistical survey of certain topological characteristics of <I>n</I>-omino populations for <I>n</I> < 9, and shows that these apply to a more general class of multicellular structures, introduced here as <I>multiplices</I>. The architectural relevance of this study is discussed in terms of the relationship between form and function; adaptability and flexibility; internal and external growth and...</9,></i></i>

In this second paper it is shown that any simplicial complex <I>K</I>(<I>X</I>), with a finite vertex set <I>X</I>, possesses a natural algebraic representation in a specified exterior algebra. This also leads to a representation of patterns by polynomials in that algebra. The idea of the complementary complex, with...</i></i></i>

A schema is presented which contains all the independent varieties of planar jointed kinematic chains and Baranov trusses. The schema requires four operations: amplification with dyads, simplification of the joints, graphisation, and inverse graphisation.

Spatial relations and shape grammars are defined. A spatial relation is specified by a finite number of shapes arranged in a certain way. A shape grammar provides for the recursive generation of arrangements of shapes in terms of given spatial relations. The possible spatial relations between...

A theory of space allocation in architectural design is presented. The theory is completely independent of the shapes of the spaces. The problem is broken down into four hierarchical levels of abstraction. The top level is the number of spaces. The second level consists of the adjacencies...