Hardware Implementation of the Pentagram Geometric Compiler: Cyclic Permutation Network and Bidirectional Nesting Architecture

Building on the Pentagram Geometric Compiler framework [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], we present a complete hardware architecture for its physical realization. The core innovation is a cyclic permutation network that rotates the five vertex parameters (δ, ∆ϕ, Θ, η, γ) through the five registers every 36◦ of nested rotation(i.e., every reorganization event). This implements the role-swapping mechanism essential for autonomous evolution. We also detail the bidirectional nesting between macro and micro pentagrams, their opposite rotation directions, and the coupling interface that maintains a stable phase difference window. The design includes a phase accumulator, weight calculation unit, and a dual-pentagram synchronization module. This work provides a direct engineering blueprint for embedding the source code of the universe into quantum–photonic–classical heterogeneous chips.