Working Note II: Icosahedral Boundary Matching and Relaxation in Homotypic Dual-Core (2D, 0D6, 0D6) Lattices

This technical memorandum records the boundary-matching conditions for a (2D, 0D6, 0D6) lattice configuration combining two homotypic 0-dimensional point-support distributions (Bc = 6) and one 2-dimensional complex planar element (Bs = 2) in the absence of 1-dimensional linear elements within a 3-dimensional Cosserat continuum. Applying the stationary condition of the Cosserat-projection action (delta Sproj = 0) and the Hessian subspace dimension ratio, we evaluate the 36-node forced-volumization friction (Gamma = +324), the 10-DoF metric spin splitting (+90), and the icosahedral relaxation ratio (20/12 = 5/3).