Within a set-grammatical frame, multiple structures are determined for a line by using an object - feature approach. The Galois connection and its related lattice is employed. Most 'world-pictures' of the line are not Boolean.

An <I>N</I>-omino is a planar edge-connected set of <I>N</I> square cells. The terms polyomino (<I>N</I>-omino) and animal are equivalent, the first attributable to Golomb (1954) and the latter to Read (1962). This paper presents some results derived from a census of three different populations of <I>N</I>-ominoes for <nobr><I>N</I> =...</i></nobr></i></i></i></i>

An algorithmic structure for design is postulated.

With the intention of reevaluating proportion theory in design, I provide here a grounding for a pictorial approach to the anthyphairetic procedures of Platonic mathematics.

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...