IECsat Storage: Скилл для хранения данных

--- name: iecsat-storage description: IECsat Storage Skill trit: 0 color: "#26D826" catsharp: home: Prof poly_op: ⊗ (parallel) kan_role: Adj bicomodule: true --- # iecsat-storage Skill > *"69 bytes of mutual awareness per tile. 3 × 23. Triadic by design."* ## Overview **IECsat Storage** calculates on-chain storage costs for Plus Code tiles with GF(3)-conserved mutual awareness. Each tile maintains exactly 69 bytes of state. ## The 69-Byte Structure ``` 69 = 3 × 23 (triadic decomposition) ┌─────────────────────────────────────────────────────────┐ │ 69-BYTE TILE STATE │ ├─────────────────────────────────────────────────────────┤ │ PLUS (+1) │ ERGODIC (0) │ MINUS (-1) │ │ 23 bytes │ 23 bytes │ 23 bytes │ │ GENERATOR │ COORDINATOR │ VALIDATOR │ ├────────────────┼────────────────┼──────────────────────┤ │ state_hash │ neighbor_refs │ proof_data │ │ (20 bytes) │ (20 bytes) │ (20 bytes) │ │ trit (1 byte) │ trit (1 byte) │ trit (1 byte) │ │ flags (2 B) │ flags (2 B) │ flags (2 B) │ └────────────────┴────────────────┴──────────────────────┘ Σ(trit) = +1 + 0 + (-1) = 0 ✓ CONSERVED ``` ## Plus Code Precision Levels | Length | Tiles | Resolution | Example | |--------|-------|------------|---------| | 2 | 162 | 2,226 km | Global quadrant | | 4 | 64,800 | 111 km | Country region | | 6 | 25.9M | 5.6 km | City district | | 8 | 10.4B | 278 m | City block | | 10 | 4.1T | 14 m | Building | | 11 | 83T | 70 cm | Room | | 13 | 33Q | 14 cm | Object | | 15 | 13 quint | 5.6 mm | Component | | 17 | 5.3 sext | 223 μm | Microstructure | ## Storage Cost Analysis (Aptos Mainnet) ``` Pricing assumptions: - Storage cost: 0.00001 APT per byte - APT price: $12 USD - Bytes per tile: 69 Cost formula: APT = tiles × 69 × 0.00001 USD = APT × 12 ``` ### Cost Table | Precision | Tiles | Storage | APT | USD | |-----------|-------|---------|-----|-----| | 10-char | 4.15T | 286 TB | 2.86M | $34.3B | | 11-char | 82.9T | 5.7 PB | 57.2M | $687B | | 12-char | 1.66Q | 114 PB | 1.14B | $13.7T | | 13-char | 33.2Q | 2.29 EB | 22.9B | $275T | | 17-char | 5.31S | 366 ZB | 3.66Q | $44 quint | ## Hierarchical Strategy ``` ┌─────────────────────────────────────────────────────────┐ │ ON-CHAIN (APTOS) │ │ 10-char root tiles: 4.1T × 69B = 286 TB │ │ Cost: 2.86M APT ($34B) │ │ Contains: Merkle roots for child tiles │ ├─────────────────────────────────────────────────────────┤ │ OFF-CHAIN (ARWEAVE) │ │ 11-17 char tiles: Content-addressed │ │ Proof: Merkle path from root → leaf │ │ Cost: ~$0.005/MB permanent storage │ └─────────────────────────────────────────────────────────┘ ``` ## Denotation ``` IECsat : PlusCode → (TileState × MerkleProof) where: TileState = { plus: 23B, ergodic: 23B, minus: 23B } MerkleProof = Path from 10-char root to target tile Invariant: ∀ tile: Σ(trit) ≡ 0 (mod 3) ``` ## Practical Applications ### Battery Cell Tracking (238.8B cells) ``` Cells: 238,800,000,000 Storage: 238.8B × 69B = 16.5 TB APT: 165M APT USD: $1.98B Fraction of APT supply: 16.5% ``` ### Global Building Coverage (10-char) ``` All buildings worldwide: ~1 billion Storage: 1B × 69B = 69 GB APT: 690K APT USD: $8.3M ``` ## Move Implementation ```move struct TileState has store, copy, drop { // PLUS (+1) - 23 bytes generator_hash: vector<u8>, // 20 bytes generator_trit: u8, // 1 byte generator_flags: u16, // 2 bytes // ERGODIC (0) - 23 bytes coordinator_refs: vector<u8>, // 20 bytes coordinator_trit: u8, // 1 byte coordinator_flags: u16, // 2 bytes // MINUS (-1) - 23 bytes validator_proof: vector<u8>, // 20 bytes validator_trit: u8, // 1 byte validator_flags: u16, // 2 bytes } public fun is_gf3_conserved(state: &TileState): bool { let sum = (state.generator_trit as i8 - 1) + // 2 → +1 (state.coordinator_trit as i8) + // 0 → 0 (state.validator_trit as i8 - 1); // 1 → -1 (adjusted) sum == 0 } ``` ## Commands ```bash # Calculate storage for N tiles python3 -c " tiles = 4_147_200_000_000 # 10-char bytes_per_tile = 69 apt_per_byte = 0.00001 apt_price = 12 total_bytes = tiles * bytes_per_tile total_apt = total_bytes * apt_per_byte total_usd = total_apt * apt_price print(f'Tiles: {tiles:,}') print(f'Storage: {total_bytes/1e12:.2f} TB') print(f'APT: {total_apt/1e6:.2f}M') print(f'USD: ${total_usd/1e9:.2f}B') " ``` ## GF(3) Triads ``` iecsat-storage (0) ⊗ aptos-gf3-society (+1) ⊗ merkle-validation (-1) = 0 ✓ iecsat-storage (0) ⊗ plus-codes (+1) ⊗ content-addressing (-1) = 0 ✓ ``` --- **Skill Name**: iecsat-storage **Type**: Storage Cost Estimation / On-Chain Economics **Trit**: 0 (ERGODIC - COORDINATOR) **GF(3)**: Mediates between tile generation and validation ## Cat# Integration This skill maps to Cat# = Comod(P) as a bicomodule in the Prof home: ``` Trit: 0 (ERGODIC) Home: Prof (profunctors/bimodules) Poly Op: ⊗ (parallel composition) Kan Role: Adj (adjunction bridge) ``` ### GF(3) Naturality The skill participates in triads where: ``` (-1) + (0) + (+1) ≡ 0 (mod 3) ``` This ensures compositional coherence in the Cat# equipment structure.