Q-expansions are developed by applying a Style Hierarchy (previously called a Modal Hierarchy) to all Types/Levels in a Principal Typology. The style hierarchy subdivides each Type into 4 and creates Subsidiary Typologies. (See a similar subdivision in Levels of the Root Hierarchy.)
The Style Hierarchy levels do not represent taxonomic elements: they generate a more specialized element from a general element. Formula used are: α, β, γ, δ. The new specialized elements are therefore 28 in number:
■1α, ■1β, ■1γ, ■1δ,
■2α, ■2β, ■2γ, ■2δ
■7α, ■7β, ■7γ, ■7δ
There are 8 Style Hierarchies (one for the Root and 7 for the Principal Typologies) and each has different level descriptors. It is not known whether there is a commonality.
NOTE: ■ = the stem of the formula, which varies according to the taxonomic location of the particular structural hierarchy. It may either be RH- or PH'•-. It is not currently known whether RH'- allows a Q-expansion.
The structures and formulae that exist here are as follows:
■Qt1, ■Qt2, ■Qt3, ■Qt4, ■Qt5, ■Qt6, ■Qt7
Each Qt• has the standard cells and properties associated with typologies
e.g. TET, dualities.
■Q1H, ■Q2H, ■Q3H, ■Q4H, ■Q5H, ■Q6H, ■Q7H
Each Q•H has the standard cells and properties associated with hierarchies
e.g. transitions, oscillating duality.
■Q1C, ■Q2C, ■QC3, ■QC4, ■QC5, ■QC6, ■QC7
Each Q•C has the standard cells and formulae associated with Spirals.
■Q1HK, ■Q2HK, ■Q3HK, ■Q4H4, ■Q5HK, ■Q6HK, ■Q7HK
Each Q•HK has the standard cells and formulae associated with Trees.
■Q1sHK, ■Q2sHK, ■Q3sHK, ■Q4sHK, ■Q5sHK, ■Q6sHK, ■Q7sHK
Each Q•sHK has the standard cells and formulae associated with Trees.
Draft posted: 14-May-2013