How to get 2³² market cap with 2³² coins:
- 25 denominations.
- Coin values between 10,000 and 0.0001.
- Target value of denominations follow a geometric series. Number of coins = target value / denomination, rounded up to next whole number.
- Biggest denomination’s target value: 1,370,261,966.26108.
- Exponent for target value series = 1 / 1.468466485353.
The result:
- 2³² coins. Exactly as classic safecoin.
- Total value: 2³² - 0.0000024. Error over full market cap is about 0.000000000000057%. 1/4th of smallest coin and 1/40000th of safecoin.
Biggest possible inflation: 0.0067%. If an infinite number of smaller and smaller denominations are added, they all are worth about 289326.
Note: I made a mistake. I added up the target values not the actual values. I’ll correct the numbers. But the point is valid: It is possible to match 2³² market cap with 2³² coins and denominations.