3D-to-1D Memory Mapping Engine

Architect Protocol: Phase 1 (Completed)

🧠 Logic Overview

I avoid high-level libraries for spatial mapping. This project implements Skip Logic to calculate data locations directly, simulating how a CPU accesses physical RAM.

📐 Mathematical Foundation

• Forward Mapping: Index = (x * Rows * Cols) + (y * Cols) + z
• Reverse Mapping: Mathematical unpacking using floor division and modulo operators.

🚀 Performance & Hardening

• Time Complexity: O(1) Constant Time.
• Scale Verification: Tested and verified at 1,000,000,000 (1 Billion) elements with zero latency.
• Boundary Security: Implemented guardrails (0 <= index < sum_in) to prevent index-out-of-range errors.

✅ Target Roadmap

This module serves as the memory management foundation for my 2026-2029 goal of reaching top-tier engineering status at Google/Zoho.