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Use of distinctive geometries as mapping surfaces for value-goals


Refining the Value of Sustainable Development Goals (Part #4)


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In the quest for cognitive order in psychosocial space, any pattern of order relying to a degree on geometry is provocatively challenged by the investigation of cognitive psychologists (George Lakoff and Rafael Nuñez, Where Mathematics Comes From: how the embodied mind brings mathematics into being, 2001). From that perspective there is every possibility that that order may be as much "within" as "without" -- however that distinction is "de-fined", as can be variously argued (World Introversion through Paracycling; global potential for living sustainably "outside-inside", 2013).

Distinctive polyhedral forms can be used to map distinctive articulations of values as shown below, and presented separately with other variants (Dynamic Exploration of Value Configurations: polyhedral animation of conventional value frameworks, 2008; Topology of Valuing: dynamics of collective engagement with polyhedral value configurations, 2008).

Polyhedral representation of value configurations: a challenge to integrative imagination
screen shots of stages in the transformation of the geometry of sets of values [PDF version]
using indicative features of the Stella Polyhedron Navigator software package
European Convention
on Human Rights
Universal Declaration
of Human Rights
Arab Charter
on Human Rights
European Convention on Human Rights Universal Declaration of Human Rights Arab Charter on Human Rights
18 Articles displayed on 2 face-types
of a rhombicuboctahedron

30 Articles displayed on 1 face-type
of a rhombicosidodecahedron
53 Articles displayed on 2 face-types
of a rhombicosidodecahedron

It is unclear whether the Declaration Toward a Global Ethic, as promoted by the Parliament of the World's Religions, lends itself to such treatment or could benefit from it.

In contrast with the preoccupation with the geography of the globe and is resources of Buckminster Fuller, of potential relevance is whether the Dymaxion Map he invented could be of value to preoccupation with value-goals. It is a projection of a world map onto the 3D surface of an icosahedron, which can be unfolded and flattened to 2D. The question merits exploration in the light of his preoccupation with global resource management and his proposed World Resources Simulation Center -- now operational. Missing however is any concern with cognitive resources and their sustainable organization.


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