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Old 04-08-2023, 03:17 PM   #5 (permalink)
freebeard
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Flattened Earth: en.wikipedia.org/wiki/Dymaxion_map

Showing the one-world ocean.

I tried to find a reference for the Crystal Planet theory that pre-dates Fuller's patent. Best I can do is:

link.springer.com: Published: 19 July 2012
Energy-Momentum Stability of Icosahedral Configurations of Point Vortices on a Sphere
Paul K. Newton & Vitalii Ostrovskyi

Quote:
We investigate the nonlinear stability of the icosahedral relative equilibrium configuration of point vortices on a sphere. The relative equilibrium problem is formulated as a problem of finding the nullspace of the configuration matrix that encodes the geometry of the icosahedron
[snip]
we then combine our knowledge of the nullspace structure of A with the structure of the underlying Hamiltonian, and analyze the stability of the icosahedron using the energy-momentum method. Because the parameter space is large, we focus on the physically motivated and important case obtained by combining the basis elements into (i) the uniform icosahedron; (ii) a von Kármán vortex street configuration of equal and opposite staggered, evenly spaced latitudinal rows equidistant from the equator (Chamoun et al. in Phys. Fluids 21:116603, 2009), and (iii) the North Pole–South Pole equal and opposite vortex pair. Stability boundaries in a three-parameter space are calculated for linear combinations of these grouped basis configurations.
Easy peasy, amirite?
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