A new free rank-8 Z[φ]-order is built by doubling the icosian ring, equipped with a 240-element H4⊕H4 finite root shell, shown to be self-dual under the polar norm and free of octonion-stable nonzero isotropic gluings in its first trace-integral discriminant tower.
Tilings and Quasi-Crystals; a Non-Local Growth Problem?
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Non-crystallographic systems of integers over composition algebras
A new free rank-8 Z[φ]-order is built by doubling the icosian ring, equipped with a 240-element H4⊕H4 finite root shell, shown to be self-dual under the polar norm and free of octonion-stable nonzero isotropic gluings in its first trace-integral discriminant tower.