Pricing & Fees 
The Twin.fun bonding curve determines deterministic pricing for every trade.
Fees per Trade 
- Protocol fee → sent to the treasury address.
- Subject fee → paid to the twin owner.
- Percentages are configured in the contract (1e18 = 100%).
Creation Rules 
- At zero supply, buyers must purchase at least minSharesToCreatekeys.
- If an ID is pre-mapped to an owner, only that address can execute the first buy.
Pricing Intuition 
- Earlier buyers pay less; each additional key marginally increases price.
- Selling walks back down the curve, returning ETH at the lower supply point.
Mathematics (Advanced) 
Let supply be the current supply and amount the delta for the trade.
sum1 = (supply-1)*supply*(2*(supply-1)+1)/6         // if supply > 0 else 0
sum2 = (supply+amount-1)*(supply+amount)*(2*(...)+1)/6
price = (sum2 - sum1) * 1 ether / 1,600,000- Buy: getPrice(supply, amount)
- Sell: getPrice(supply - amount, amount)
- Fees:- protocol = price * protocolFeePercent / 1e18
- subject = price * subjectFeePercent / 1e18
 
