Comprehension of NATO as a four-dimensional dynamic entity?

Envisaging NATO Otherwise -- in 3D and 4D? (Part #7)

Despite the emphasis of NATO on "unity", frequently framed in terms of "solidarity", it is necessarily misleading to frame NATO as a static entry. There is a sense, especially from a military strategic perspective of the need for strategic nimbleness more appropriately associated with "fluidity". Any "unity" is likely to be more appropriately found in 4 (or more) dimensions. As in the metaphor evoked for corporations, NATO needs to "dance" (Rosabeth Moss Kanter, When Giants Learn To Dance: mastering the chal.lenge of strategy, management, and careers in the 1990s, 1989). Some sense of the possible dynamics can be offered by various animations of the augmented tetrahedron, as presented above -- offering one sense of a 4D entity.

Another approach is to make use of facilities to present the augmented tetrahedron in geometric emulations of 4D -- a technique offered by Stella4D (as an extension of Stella Polyhedron Navigator used to prepare the figures above). This includes four-dimensional polytopes, known as polychora (projected into 3D), with the possibility of animating 3D cross-sections in real-time and 4D rotation. Their relevance is discussed separately (Four-dimensional requisite for a time-bound global civilization? 2015; Comprehending the shapes of time through four-dimensional uniform polychora, 2015; Five-fold ordering of strategic engagement with time, 2015).

Representations of NATO as a 4-dimensional entity?
4D	4D	Runcinated	Runcinated and expanded

Images prepared using Stella Polyhedron Navigator

Other techniques can be used to transform the augmented tetrahedron in ways which variously invite imaginative exploration -- especially as mapping surfaces.

Transformations of the augmented tetrahedron -- NATO explored otherwise?
Waterman polyhedron 4D polytope	4D Truncated expansion	Transformation into a torus	Zonohedrification

Images prepared using Stella Polyhedron Navigator