
SIMPLIFICATION: The interest lies with the in-between. It is a one dimensional point on a two dimensional scale.

TRIANGULATION 1 & 2: The architecture that represents combined/convoluted ethics should develop from a dimensional extrapolation of the simplified problem. Each side of the triangles is a scale, an undirected edge between two vertices. The defined points A, B and C have areas attributed to them by the linking of the points on the inter-relational scales; however, they must form a space in between to moderate their territories. 1 shows this ‘from point’ and 2 shows this ‘perpendicular to scale’, with both showing a new defined area D to represent a shared/disputed region.

RECTIFICATION (INCOMPLETE) 1 & 2: Here, A is (using graph terminology) not adjacent to D – nor is B adjacent to C – and the graph is incomplete. 1 shows the territories attributed perpendicular to the scale, and 2 shows from the scale.

RECTIFICATION (COMPLETE) 1 & 2: A and B are adjacent to D and C respectively. 1 shows how disputed regions can emerge (A and C can claim the left blue triangle) whilst shared regions still exist. 2 shows a rectified situation where there is no disputed area.

PENTALOOP (REGULAR) 1 & 2: The relationships form a complete loop but the graph is once again incomplete. 1 shows a formalised sixth region F formed with the original vertices being dominant and 2 shows F formed when it is dominant.

PENTALOOP (IRREGULAR) 1 & 2: Only the point on the A-B scale has been moved, creating a series of shared/disputed regions in the case where the vertices are dominant (1) but not after rectification (2). Notice how in 1 the edge of a shared/disputed space exists on the B-C edge/relationship.

RE-SIMPLIFICATION: The importance lies not at the vertices but in the region created in-between. The vertices thus become voids, non-dimensional and the scale takes all the responsibility for variation.

SITUATIONAL (ARBITRARY) 1 & 2: To accommodate a programme and a site there must be some adaptation. Programmatic mixing and crossing creates axes of variation between voids, arbitrarily represented in 1. With flexing in programme and in response to site, as in 2, new regions and combinations emerge.

SITUATIONAL (ARBITRARY) EXTENDED: With an extra dimension the site becomes more occupied and the voids are anchored. This diagram is the theoretical strategy to be applied to programme and site.
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Footnote: the new colour is International Klein Blue. It will be the only colour used other than the greyscales (to be explained more in the future).