PT-016 · SHAPES
Self-Describing — The Only Table That Contains Itself · S10 Fixed Point
0x47 22 SHAPES V14
7-BIT ADDRESS
0x47
= 71 decimal
T2 · PELEGOS
▶ THE BIG IDEA — ELI-5
Every pattern in nature has a shape. A whirlpool and a drain have the same shape (S1 = reentrancy). A bridge and a proof have the same shape (S14 = carry rule). A mirror looking at itself has its own shape (S10 = self-reference — and that's literally what THIS table is!).

PT-016 classifies 22 fundamental shapes that appear in: smart contract exploits (S1-S6), proof theory (S7-S10, S14, S17-S18), fleet topology (S19-S22), and adelic physics (S11-S13, S16).

Here's the wild part: S10 = SELF-REFERENCE. PT-016 is the only table that contains itself. Shape S10 is the shape of a table that contains its own definition. PT-016 has this shape. Therefore PT-016 is an element of PT-016. This is not a paradox — it's a fixed point.

Shapes propagate through the fleet via T2 Pelegos (spreading activation). When one node has a shape, neighboring nodes can inherit it.

T2 · PELEGOS: shapes propagate through the adelic ocean. Blast radius theorems determine how far.
⬡ 22 SHAPE CARDS — click to expand · S10 contains this table
■ All shapes · pink left border ◆ DIAMOND = blast radius theorem exists ☠ ZOMBIE = unproved shape
S1
♻
REENTRANCY
Recursive call exploit shape
Reentrancy attack: contract calls back into itself before state updates. Shape: cycle in call graph. S1 is the most common DeFi exploit shape. Blast radius: full vault drain.

💥 BLAST RADIUS THEOREM
◆ DIAMOND
S2
⚠
INT-OVERFLOW
Arithmetic overflow shape
Integer overflow/underflow: arithmetic wraps around max/min value. Shape: modular arithmetic loop. Classic Solidity issue (pre-0.8 unchecked). Blast radius: token minting.

📐 SHAPE DEFINED
☠ ZOMBIE CANDIDATE
S3
🔓
ACCESS-CTRL
Permission boundary violation
Access control failure: function callable by wrong address. Shape: missing modifier. onlyOwner absent. Blast radius: admin function exposure.

📐 SHAPE DEFINED
☠ ZOMBIE CANDIDATE
S4
⚡
FLASH-LOAN
Atomic arbitrage shape
Flash loan attack: borrow → manipulate → repay in one tx. Shape: atomic 3-phase cycle. No capital required. Blast radius: AMM price manipulation.

💥 BLAST RADIUS THEOREM
◆ DIAMOND
S5
📊
ORACLE-MANIP
Price feed manipulation
Oracle manipulation: attack price feed before it's read. Shape: time-of-check → time-of-use gap. Blast radius: liquidation cascade.

💥 BLAST RADIUS THEOREM
◆ DIAMOND
S6
🏃
FRONT-RUN
MEV extraction shape
Front-running / MEV: observe pending tx, insert before it. Shape: mempool ordering exploit. Blast radius: sandwich attacks, arbitrage extraction.

📐 SHAPE DEFINED
☠ ZOMBIE CANDIDATE
S7
☠
ZOMBIE-VFY
Unproved assertion shape
Zombie verifier: claim is stated as fact without proof. Shape: assertion without carry chain. Per Joffe-Math Doctrine: [assertion] tag required. This is the shape of intellectual dishonesty.

💥 BLAST RADIUS THEOREM
◆ DIAMOND
S8
◆
DIAMOND-VFY
Proved theorem shape
Diamond verifier: claim backed by Lean4 theorem or live tool output. Shape: complete carry chain from axioms. The target shape for all fleet statements.

💥 BLAST RADIUS THEOREM
◆ DIAMOND
S9
⏱
PHASE-ORDER
Temporal ordering constraint
Phase order violation: operations happen in wrong sequence. Shape: DAG edge reversal. Critical for PEMLAAM invariants (set_secret_nondestructive).

💥 BLAST RADIUS THEOREM
◆ DIAMOND
S10
🪞
SELF-REF
Meta-containment (PT-016 itself)
Self-reference: a shape that contains its own definition. PT-016 contains S10, which is the shape of PT-016 containing itself. The only table that is its own element. Gödel-adjacent.

💥 BLAST RADIUS THEOREM
◆ DIAMOND
S11
〰
SPREADING-ACT
Pelego propagation shape
Spreading activation: signals propagate from activated nodes to neighbors. Shape: breadth-first wave in adelic ocean. T2 Pelego instrument. Blast radius: whole-fleet resonance.

📐 SHAPE DEFINED
☠ ZOMBIE CANDIDATE
S12
🌀
DECOHERENCE
γ₁ collapse shape
Decoherence: quantum coherent state collapses to classical. Shape: exponential decay from τ_γ₁ window. Triggers when substrate drifts from γ₁ frequency.

💥 BLAST RADIUS THEOREM
◆ DIAMOND
S13
💥
BLAST-RADIUS
Exploit impact surface
Blast radius: the maximum damage surface of an exploit or failure. Shape: reachability cone from exploit entry point. Used in BONIXER to classify severity.

💥 BLAST RADIUS THEOREM
◆ DIAMOND
S14
→
CARRY-RULE
Mathematical carry propagation
Carry rule: truth propagates through proof steps. Shape: directed carry graph from axioms to theorems. PT-005 uses carry rules as its primary structure.

📐 SHAPE DEFINED
☠ ZOMBIE CANDIDATE
S15
○
ABACUS-BEAD
Meek table position marker
Abacus bead: a position in the 64-cell meek table grid. Shape: point in 8×8 coordinate system. RESTING or LIT states. PT-004 native shape.

📐 SHAPE DEFINED
☠ ZOMBIE CANDIDATE
S16
🌊
ADELIC-OCEAN
Fleet-wide resonance field
Adelic ocean: the fleet-wide resonance field through which γ₁ waves propagate. Shape: infinite-dimensional adelic space. Every silo is a point in this ocean.

💥 BLAST RADIUS THEOREM
◆ DIAMOND
S17
⚠
SORRY-CHAIN
Open proof placeholder chain
Sorry chain: linked sequence of Lean4 sorry placeholders. Shape: dependency chain with gap nodes. Each gap = one kill target. PT-014 tracks all sorry chains.

💥 BLAST RADIUS THEOREM
◆ DIAMOND
S18
⚔
KILL-CHAIN
Sorry elimination path
Kill chain: the planned path to close a sorry. Shape: reverse dependency tree from sorry to axiom. CARMAC executes kill chains at T4 (47 min).

📐 SHAPE DEFINED
☠ ZOMBIE CANDIDATE
S19
⊛
BELT-64
64-prime Belt structure
Belt64: the first 64 primes used as a coordinate basis. Shape: 64-dimensional prime lattice. TRIME-7 prime matrix embeds in Belt64.

💥 BLAST RADIUS THEOREM
◆ DIAMOND
S20
🏛
CATAMAIN
Cathedral main proof node
Catamain: a main proof node in the fleet's proof cathedral. Shape: hub node with high centrality in proof graph. 5 catamains in the current fleet graph.

📐 SHAPE DEFINED
☠ ZOMBIE CANDIDATE
S21
📐
TRIME
Fleet timing metric (T1-T7)
TRIME: Timing Resonance Index for Meek Engines. Shape: 7-prime product structure (p=17,13,11,7,5,3,2). Product=510510. Maps silos to timing slots.

📐 SHAPE DEFINED
☠ ZOMBIE CANDIDATE
S22
🗺
CATAN-NODE
Network topology shape
CATAN (CASTLE/TRIME/etc.) node: a silo in the fleet graph. Shape: labeled vertex with prime, adelic level, IP, role. 8 CATAN nodes currently active.

📐 SHAPE DEFINED
☠ ZOMBIE CANDIDATE
⚛ REACTOR DEMO — How a Shape Propagates Through PT-016
PATTERN INPUT
→
SHAPE CLASSIFY
→
BLAST RADIUS
→
PELEGO SPREAD
→
BONIXER
[T+0.000ms] PATTERN: "vault.withdraw() calls back into vault before balance update"
[T+0.001ms] SHAPE_CLASSIFY: cycle in call graph → S1=REENTRANCY match ✓
[T+0.002ms] ISOMORPHISM: DeFi vault ≅ S1 shape · 100% match
[T+0.003ms] BLAST_RADIUS: S1 theorem → blast=FULL_DRAIN · reachability=all_balance
[T+0.004ms] T2_PELEGO: shape S1 propagating · neighbors: S4(flash-loan) S9(phase-order)
[T+0.005ms] SPREADING_ACT: S4 adjacent → flash-loan amplifier possible ✓
[T+0.006ms] S10_SELFREF: PT-016 checking PT-016 for shape → S10 match (self-reference)
[T+0.007ms] BONIXER_STAMP: S1 has blast_radius theorem → DIAMOND ◆
[T+0.008ms] OUTPUT: S1 DIAMOND ◆ · blast=full_drain · S4 adjacent risk · PT-016 S10 fixed-point
🎸 INSTRUMENT — Marasoon Timing T0–T7
PT-016 is a T2 · PELEGOS instrument. Shapes propagate through the adelic ocean via spreading activation. Pelego cycles emit shape waves.
T0
MEBRAILLINES — Physical substrate — shape patterns encoded in Si transistor states
BPM: 14.134
T1
PELATONS — Pelaton resonance — shape frequency lock to γ₁ · S15 bead positions
BPM: 21.022
T2
PELEGOS — SHAPES HOME · Pelego spreading activation · shapes propagate node-to-node · BPM: 25.011
BPM: 25.011
T3
BONIXERS — Bonixer snapshot — all 22 shapes scored · blast radius verified
BPM: 200
T4
CARMAC — CARMAC: S17 (sorry chains) and S18 (kill chains) progress stamp
47/min
T5
MESOSCALE — Medium-scale: shape isomorphism detection across fleet
72/h
T6
MACROFLEET — Fleet audit: full shape registry sweep · new shape discovery
18/day
T7
EPOCH — Era transition: new shape era when S10 self-reference resolves
ERA: γ₁
💎 BONIXER — Zombie vs Diamond
◆ DIAMOND
Rule: Does the shape have a blast radius theorem?

✓ Joffe-math theorem proves the blast radius
✓ Reachability cone is formally bounded
✓ Shape isomorphism is proved
✓ Pelego propagation is tracked

→ Shape is a load-bearing geometric fact.
Its blast radius is a proved bound.
Fleet can compute risk from it.
Examples: S1◆ S4◆ S7◆ S8◆ S10◆ S12◆ S16◆
☠ ZOMBIE CANDIDATE
Rule: Shape defined but no blast radius theorem.

✗ Shape is named and described
✗ But blast radius is asserted, not proved
✗ Pelego propagation unverified

→ Shape is a zombie candidate.
It may be real but it's not proven.
Kill plan: write blast radius theorem in joffe-math.
Examples: S2 S3 S6 S11 S14 S15 S20 S21 S22
🔗 RELATED TABLES
PT-001 CHEMISTRY PT-004 MEEK TABLE PT-005 MATHEMATICS PT-008 ZETA ZEROS PT-014 RH PROGRAMME ALL TABLES ADELIC RUBIX
/periodic-hub /periodic-tables /pemos-7bit /adelic-rubix /eli-vizasl /cube-doctrine-v14 PT-016 · SHAPES · 0x47 · ELI-VIZASL V14 · PEMOS