Dual-Layer Koku Universe: Beyond Polygon Resolution in 3D Bio-Fabrication — Toward Capillary Network Generation
Abstract
This paper extends the Koku Universe (刻宇宙) into a dual-layer structure to resolve the polygon limitation in 3D bio-fabrication and enable the design of capillary networks. The dual structure U = (T_outer x T_inner) x G separates the macro-scale organ geometry (T_outer) from the micro-scale capillary and cellular structure (T_inner). Since Genki G(n)=(x(n),y(n),z(n)) is described as a continuous function rather than discrete polygons, there is no lower limit to resolution. Capillary vessels (5-10 micron diameter) can be generated by maximizing V=N/D within T_inner. The progression vector n is perpendicular to both layers simultaneously, unifying the organism as a single living structure. Body design and civilizational design are shown to be isomorphic through the same equation V=N/D. Subtitle: 二重刻宇宙——ポリゴン超えと毛細血管生成の統合理論