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QF Network · PSP22 · Proof of Concept

Where mathematics
governs everything.

"A token where every parameter is a constant of nature"

Project 52F is a PSP22 token on QF Network. The buy tax is Euler's number. The sell tax is Pi. The prize threshold is the Golden Ratio. The collision slots are Fibonacci numbers. No arbitrary decisions. No admin toggles. Pure mathematical logic, permanently encoded on-chain.

e
Euler's Number
2.718281828...
Buy tax: 2.718% → 0.75% team, 1.968% prize
π
Pi
3.141592653...
Sell tax: 3.141% → 0.75% team, 1.0% liq, 1.391% prize
φ
Golden Ratio
1.618033988...
Slot 52 activation: £52,000 × φ = £84,136
√2
Root 2
1.414213562...
King prize boost: 41.4% (√2×)
π/e
Pi over e
1.155727349...
Dethrone margin: 15.6%
52!
Supply
80,658,175,170
First 11 digits of 52 factorial

System Design

Four Contracts.
One Mathematical Machine.

Unlike tokens that mix everything into one contract, 52F separates concerns for security and transparency. Each contract has one job, encoded in immutable mathematics.

T
Token52F
The Router

Core PSP22 token. Routes every transaction through mathematical tax splits. Maintains eligibility flags for the Birthday Paradox engine.

Buy 2.718%→ 0.75% Team · 1.968% Prize
Sell 3.141%→ 0.75% Team · 1.0% Liq · 1.391% Prize
Holding Gate: 5.2M 52F · Max Wallet: 6% (perfect number)
BP
BirthdayParadox
The Engine

Six-gate lottery system. 52-slot ring buffer. Daily King throne with √2 boosted prizes. Fibonacci collision detection with VRF randomness.

Gate 1Eligibility Flag Check
Gate 2Throne Claim/Dethrone
Gate 3Tax Accumulation ≥50%
Gate 4Fibonacci Hash Match
Gate 5Collision Detection
Gate 6Time/Block Locks
Daily Reset: 24h · Warmup: 5.2h · Dethrone: π/e margin
TV
TeamTreasury
The Vesting Vault

Mathematical vesting: √2 × π × e = 12.07% of supply. Releases 2% every 5.2M blocks (~6 days) for 10 months. No instant dumps, no rug risk.

Allocation12.07% = √2×π×e
Vesting50 releases × 2% × ~6 days
Total~10 months mathematical lock
Per Release: 194.7M 52F · 9.74B total
DV
DampenerVault
The Stability Mechanism

Protocol-owned liquidity management. 15% target ratio. Crisis injection, prosperity burn mode. 5.2% agile reserve. Anti-dust, anti-manipulation.

Crisis (<10%)5% vault injection to floor
Normal (10-17%)1% match tracking growth
Prosperity (>17%)75% burn / 25% retention
Pulse: 5,200 blocks early / 5.2M blocks late

How It Works

Tax. Pool.
Collision. Prize.

The Six Gates

Every buy passes through six mathematical gates. Fail any, and the transaction processes normally—but no prize. Pass all, and the Birthday Paradox triggers automatically.

1
Eligibility Flag Hold ≥5.2M 52F? Checked instantly via storage read from Token52F.
2
Throne Logic Claim or dethrone the King. Daily 24h reign. Dethrone requires π/e (15.6%) margin.
3
Tax Accumulation Accumulated tax ≥ 50% of prize value? Prevents pool drain at all volumes.
4
Fibonacci Hash VRF suffix (0-999) maps to active Fibonacci slot? 8→7→6→5 slots by tier.
5
Collision Detection Hash matches existing entry in 52-slot ring buffer? Same wallet cannot self-collide.
6
Time/Block Locks 1h between prizes, 1 prize per block, royal lock after King win (50% refill).
Buy Tax (e)
2.718%
Team Treasury0.75%
Prize Pool1.968%
Sell Tax (π)
3.141%
Team Treasury0.75%
Liquidity1.000%
Prize Pool1.391%
King Slot 52 — Daily Throne
Reign for 24 hours. Win √2 boosted prizes.

The largest buy of the day claims the throne. Dethrone requires π/e (15.6%) margin. King wins only during 5.2h warmup to 5.2h cooldown window. Prize boost: 41.4% (√2×). Royal lock prevents normal collisions until taxes refill.

Activation: £52,000 × φ = £84,136 market cap

Live Simulation

Birthday Paradox
Engine.

Experience the 52F collision detection system. 52 slots, Fibonacci positions, and the King Slot 52. Only collisions in Fibonacci slots (1,2,3,5,8,13,21,34) or the King trigger payouts. Watch the ring buffer fill and collisions trigger 50/50 splits.

Engine Controls
52-Slot Ring Buffer Simulation
Engine Active
King: Empty
0
Slots Occupied
0
Collisions
0
52F Payouts
00:00
King Reign
Ring Buffer Visualization
Fib
King
Open
Inactive
System READY Birthday Paradox Engine initialized. Waiting for first buy...

Prize Tiers

Four Tiers.
52-Themed Progression.

Entry amounts, prize caps, and Fibonacci slots all trace back to 52. Holding gate is 5.2M 52F for all tiers. Prize capped at 5.2× entry with 50% tax gate.

Tier Market Cap Entry (52F) Max Prize (5.2×) Fib Slots Active Positions
🌱 Entry 0 — £99k 5.2M 27.04M 8 1, 2, 3, 5, 8, 13, 21, 34
🌿 Growth £100k — £499k 52M 270.4M 7 1, 2, 3, 5, 8, 13, 34
🌳 Established £500k — £1.9M 520M 2.704B 6 1, 2, 3, 5, 8, 34
🏆 Mature ≥ £2M 5.2B 27.04B 5 1, 2, 3, 5, 34

Holding Gate: 5.2M 52F required for all tiers (eligibility flag set automatically on transfer). King Slot 52: Separate 24h throne, √2 boosted prizes (7.35× entry), activates at £84,136 market cap. Tax Gate: 50% of prize must be accumulated before payout—ensures sustainability at all volumes.

The Constants

Every Number.
Mathematically Derived.

52!
Supply
80,658,175,170

First 11 digits of 52 factorial. The brand constant.

e
Buy Tax
2.718281828...

Natural growth rate. Splits to team (0.75%) and prize (1.968%).

π
Sell Tax
3.141592653...

Circular constant. Splits to team (0.75%), liquidity (1.0%), prize (1.391%).

φ
Activation
1.618033988...

Golden ratio. Slot 52 activates at £52,000 × φ = £84,136.

√2
King Boost
1.414213562...

Pythagorean diagonal. King prizes boosted 41.4%.

π/e
Dethrone
1.155727349...

Ratio of constants. Dethrone requires 15.6% margin.

Fₙ
Collision
1, 2, 3, 5, 8, 13, 21, 34

Fibonacci sequence. 8 active slots of 52, reducing by tier.

6
Max Wallet
Smallest perfect number

6% of supply. 4,839,490,510 52F maximum per wallet.

5.2
Time Gates
5.2 hours / 5.2M blocks

Brand constant. Warmup window, block intervals, tier entry.

√2πe
Team Vesting
12.070346...

Product of constants. 12.07% of supply, 50 releases.

Build Progress

Four Contracts.
Complete System.

Mathematical architecture finalized. Security audited. Ready for QF Network deployment.

Contract 1
Token52F.rs
PSP22 core, e/π tax routing, eligibility flags, real transfers to TeamTreasury and PrizePool.
✓ Complete · 20 tests
Contract 2
BirthdayParadox.rs
Six-gate engine, 52-slot ring buffer, daily King throne (π/e dethrone, √2 boost), Fibonacci collisions.
✓ Complete · 13 tests
Contract 3
TeamTreasury.rs
√2×π×e = 12.07% vesting. 50 releases × 2% × 5.2M blocks (~6 days). 10-month mathematical lock.
✓ Complete · 8 tests
Contract 4
DampenerVault.rs
Protocol-owned liquidity. 15% target ratio. Crisis injection, prosperity burn (75/25), 5.2% agile reserve.
✓ Complete · 6 tests
Integration
SPIN-Swap + QF Testnet
Cross-contract calls, AMM integration, mainnet deployment sequence.
⟳ In Progress