Trees Derived From Spirals

Forming a Spiral

A Typology is not holistic but it can be transformed into a holistic Spiral. As explained here, the Types (methods) are replaced by Modes (value sets) that emerge sequentially in recognizable Stages tracing out a Spiral trajectory on a TET (Typology Essences Table) via two Cycles.

There are three forms of Spiral:

  • Types in a Principal Typology are incompatible prescriptions and must be re-ordered to generate a Spiral in a standard way - see Spiral-derived Hierarchy.
  • Types in a Subsidiary Typology, created by a Q-expansion of the Principal Typology, show less intrinsic incompatibility and retain their order in the Spiral. See Q-expansion structures.
  • Types in the Root Typology offer only 1 set which limits testing. They appear to be plotted differently on a TET and therefore the Spiral order is presumed to be different. Investigation is commencing here.

Significance of Time

Spirals are diachronic: evolving through time as a particular Primal Means is strengthened, while derived Trees are synchronic: relevant to activity at a point in time.
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In a Spiral, the values of each Mode cumulate and increase sophistication and effectiveness in handling situations or producing desired results. So Spirals map a progressive evolution over time with a potential to reach a state of maturity (i.e. full growth).

In practice, the whole Spiral is often not developed because there is no felt need. There may also be periods of regression to earlier Stages when stresses become too great; and complacency or lack of pressure may also foster retrogression.

A Tree emerges because, whatever the Stage of development, there appears to be a need at all times to recognize the value of all the Modes.

In a Spiral, the «essence» of each Mode generates a hierarchy whose Levels accord with the Spiral order of Stages. By identifying the appropriate dynamic duality, a Tree can be derived.

Levels in the Spiral-derived Tree are capable of being developed as a Structural Hierarchy. That Structural Hierarchy can itself form a Tree in which every Level/Centre includes all Levels of the original Tree.

Examples


Originally posted: August 2009; Last updated 2-Feb-2014.