r0bcrv

levy curve
0%5%10%15%0.00.10.20.30.4051015202530levy rate (fee / transfer)cumulative eth to foresttransfer size (eth)crown threshold 5 ethasymptote 15.0%

the levy is deterministic. below the crown threshold the schedule returns zero; above it, the fee rate ramps against transfer size and approaches a fixed asymptote it never crosses. the shape is present whether a transfer is happening or not — it is not a summary of activity, it is the rule that governs activity.

redistribution curve
0.000.000.250.250.500.500.750.751.001.00cumulative eth to foresttime

cumulative eth routed to forest wallets, integrated over time. shape reveals whether the distribution is flat (split evenly per event) or size-weighted (larger transfers pulled harder). the axis is time; the units are eth. the curve is drawn from event logs and never smoothed.

concentration curve
0.000.000.250.250.500.500.750.751.001.00cumulative share of supplycumulative share of holders

lorenz curve over holder balances at each snapshot. the diagonal is perfect equality; the further the curve sags, the more concentrated the token. gini is the ratio of the sagged area to the triangle. watched over time, this is the only honest answer to "is the levy actually flattening the distribution."

flow curve
crown → forestforest → crownnet (dashed)volume (eth)time

crown → forest volume against forest → crown volume, netted per interval. positive net means redistribution is sticking. negative net means the forest is selling back into crown wallets and the mechanic is churning. no third series — this is a two-vector question with a signed answer.