Strata
When our team first started working on the geometry of the ring what struck us most of all was the number of fundamental ideas that can be modelled through the ring structure.
Developing this further we reasoned that two interrelated rings that are coherent at their points of intersection could form a three dimensional geometry. This is strata, two rings, one transverse to the other, from which a multi-layered square plane can be generated, orthogonal to both rings.
Navigating the Strata
The process of abstracting a point on the strata is illustrated above. A line is drawn from the centre of the ring through the spiral point (red circle) to the outer radius (yellow circle). This point is then projected down (or up) onto the axes (green circle). The process is repeated for the second ring. A coordinate pair can then be used to define a point within the strata.