Lists 12-fold articulations.
Annex to Eliciting a 12-fold Pattern of Generic Operational Insights: Recognition of memory constraints on collective strategic comprehension (2011)
Symbolic clues: There is a long tradition of 12-fold sets which are variously upheld as meaningful and logically consistent within different contexts -- many to be understood as archetypes. Unlike Young's insights, many of these indicate distinctions, if they do, by forms of allusion which are not especially helpful in providing a sense of the "functions" in question and how they relate as complements to other "functions". The allusions may take the form of accounts of mythical or legendary interactions. The following examples are included as an illustration of a variety of understandings of fundamental significance and the nature of the articulation considered possible and meaningful -- within human cognitive capacity and preferences :
2,3,4-fold symmetry | 2,3,5-fold symmetry |
truncated octahedron | truncated icosahedron |
cuboctahedron (vector equilibrium) | icosidodecahedron |
truncated cuboctahedron | truncated icosidodecahedron |
snub cube | snub dodecahedron |
(small) rhombicuboctahedron | (great) rhombicosidodecahedron |
truncated cube | truncated dodecahedron |
"With each and every event in Universe -- no matter how frequently recurrent -- there are always 12 unique, equieconomical, omnidirectionally operative, alternate-action options, which 12 occur as four sets of three always interdependent and concurrent actions, reactions, and resultants." ( II, 537.06)"With each and every event in Universe -- no matter how frequently recurrent -- there are always 12 unique, equieconomical, omnidirectionally operative, alternate-action options, which 12 occur as four sets of three always interdependent and concurrent actions, reactions, and resultants." (II, 537.O6)
"A vector is one-twelfth of relevant system potential." (I, 521.09)
"Synergetics discovers that whatever is rigidly related to anything else discloses 12 restraints. There are a minimum of 12 restraints in developing anything we might call a rigidly related set of events....The game of Universe is like chess with 92 unique men, each of which has four frequencies available, and it works on 12 degrees of freedom instead of a planar checkerboard." (I, 537.01-03)
"Experience is inherently omnidirectional; ergo, there is not just one "other". There are always at least twelve "others". The connection between the six degrees of freedom and omnidirectionality is, of course, the vector equilibrium. Pulsation in the vector equilibrium is the nearest thing we will ever know to eternity and god: the zerophase of conceptual integrity inherent in the positive and negative asymmetries that propagate the problems of consciousness evolution. Our inherently limited perceptivity requires these definitions of the asymmetric emphasis of experience." (I, 502.25)
Principles of "in-formation" structured as a 12-fold set: In addition to the above patterns, it is useful to note the following in relation to learning and behaviour change -- perhaps to be understood as "in-formation". They raise the question of the relative probability of "principles" being articulated in sets of any given size and why a set of this size is considered coherent, appropriate and viable -- why it "works":
Given the constraints on working memory capacity (highlighted in the main paper), it is is unlikely that the elements of these 12-fold sets would be appropriately "re-membered" to enable the integrated strategic response for which the set was envisaged. Who has the time or inclination to recall 12 points -- especially leaders? Few, if any, of the sets have their points clustered and interlinked to offer mnemonic clues to facilitate such recall. If they have been systemically conceived, this is typically not apparent from current articulations. Consequently any vital systemic checks and balances provided by the set elements are liable to be forgotten, if not lost.
It is probable that most "global strategies" profiled by the Global Strategies Project are articulated in this way, despite other possibilities (Structure of Declarations: challenging traditional patterns, 1992). Of relevance to further research is the memorability and viability of plans based on different numbers of points, for example: