One surface.
No way out.
A fixed share of every trade enters the band and becomes depth. The receipt is burned in the same call. A band with one surface has no other side to leave by, which is not a metaphor here, it is the shape of the contract.
Liquidity that can leave is not depth. It is a loan with better manners.
A pool that looks deep on Monday can be half as deep on Tuesday, because the depth was never the protocol's. It was rented, and the lender can call it back on any block without asking anyone.
Depth with an exit
Every ordinary position has a withdraw function. That function is the reason the number on the chart is a snapshot rather than a floor.
You cannot lean on a snapshot
If the book can thin out the moment it matters, then the book was deepest exactly when you needed it least.
Remove the other side
Not a lock with a timer on it. A form where the exit does not exist, because the surface the exit would sit on was never built.
What enters the band stays in the band.
The rate comes off inside the swap, is paired into liquidity, and the receipt is burned in the same transaction. There is no queue, no keeper and no window where the value sits somewhere waiting to be moved.
The band widens from its own output
Depth that cannot be withdrawn still earns. Those earnings are swept back into the same band, so the form thickens from what it produced rather than from anything new arriving.
That is the loop, and it is the only loop. Nothing the band makes ever leaves it, because there is nowhere outside the band for it to go.
| Property | A ring | This band |
|---|---|---|
| Surfaces | 2 | 1 |
| Edges | 2 | 1 |
| Laps to return | 1 | 2 |
| Half twists | 0, even | Odd |
| Orientable | Yes | No |
These are facts about the surface, not claims about the protocol. The reason the count of half twists is always odd is in the twists section below.
A fee makes the circuit twice before it is home.
Once as depth, once as the fee that depth earns. On a two sided ring you come back after one lap. Here the first lap returns you to the same place on what would have been the other face.
First lap, into depth
The rate is paired into liquidity and the receipt burned in the same call. The depth is on the book and no address holds a claim on it.
Second lap, back into the band
What that depth earns is swept into the same position rather than paid out. The band widens from its own output, which is the only way it widens.
There is no third destination
No treasury, no fee switch, no share for anybody. Not because we promise not to, but because the function that would send it does not exist.
Set the volume. Watch the band widen.
Nothing here is a projection. It is the band arithmetic run on a number you choose, which is the same arithmetic the contract runs on a number the market chooses.
The twist sets the rate and nothing else. Every grade is one sided, so every grade has the same number of exits, which is none.
Figures are the band arithmetic only. They assume the volume you set actually happens, which is the one thing no contract can promise.
Every grade is an odd number of half twists.
An even count gives the band a second side, and a second side is a way out. So the grades go one, three, five. There is no even option, and that is a property of the surface rather than a policy we are choosing to keep.
- The light setting. Lowest drag on the trader.
- Suits pools that expect high turnover and thin margins.
- One surface, one edge, no exit.
- The default. The band thickens visibly inside a week.
- Suits a pool that would rather be deep than busy.
- One surface, one edge, no exit.
- The heavy setting. Highest drag, fastest widening.
- Suits a pool where depth is the entire product.
- One surface, one edge, no exit.
One flow, three fixed angles, step by step.
It plays on a loop. Click a dot to jump to a stage, or pause it and read.
What the band is mounted on.
Three pieces, none of them ours: the rollup it settles on, the unit it settles in, and the venue the depth sits in.
Robinhood Chain
An Arbitrum Orbit rollup, chain id 4663, EVM equivalent throughout. Testnet is 46646 and runs the same bytecode.
USDG, natively
The chain settles and charges gas in USDG, eighteen decimals. Nothing here has to be wrapped on the way in or out.
Uniswap v4 pools
Liquidity sits in ordinary v4 pools on the same chain, so any router, wallet or explorer reads the market without a special integration.
MOBIUS settles on Robinhood Chain.
A USDG native L2, an Arbitrum Orbit rollup, chain id 4663, fully EVM. The band is an ordinary contract with no owner, and every sweep is a public transaction anyone can replay.
Burned receipts, on chain
Arithmetic anyone can check, not a figure this site reports to you.
The sweep runs inside the swap
Capped gas, public calldata, no keeper and no settlement window.
No admin path exists
Nothing to pause, upgrade, re-point or drain. The functions are absent.
USDG
Orbit
4663
EVM
The values you need before you point a wallet at it.
Click any value to copy it. Every endpoint below was answered by the chain itself, not read off a docs page.
Join the ends once.
These are not defaults with a setter behind them. Each one is a constant in the deployed bytecode, which is a different claim, and a checkable one.
| Parameter | Value | Changeable |
|---|---|---|
| Half twists | Odd, per pool | No |
| Rate into the band | Per pool, at deploy | No |
| Sweep destination | The same position | No |
| Withdraw | Absent | No function |
| Fee switch | Absent | No function |
| Owner | None | Renounced at deploy |
Join, then widen.
The band
Band contract, one sweep, no owner. Verified source published with the first pool.
First pool
One pool at one twist, so the arithmetic is observable on a real book before anything else exists.
Three twists
One, three and five available at deploy time, same bytecode, different constant.
Open it
Anyone can join a band without asking, since there is nobody to ask.
The three things one surface does not fix.
Depth is not price
A wider band thickens the book. A thick book still moves down if enough people sell into it. Permanent depth is a floor under the spread, not under the chart, and anyone telling you otherwise is selling something.
No volume, no widening
Every number on this site is a function of volume. If nothing trades, the rate takes nothing and the band stays exactly the width it already was. The mechanism cannot manufacture its own inputs.
No exit means no exit
The same missing withdraw function that stops depth being pulled also stops it being recovered if the pool turns out to be a bad one. That is the actual trade. Read the source before you decide it is the one you want.
The questions worth asking.
Why does the twist count have to be odd?
Can the rate be changed later?
Where do the earnings go?
Is this a lock with a timer?
What happens if the sweep fails?
Is there a token?
Join it once.
Ride it forever.
One surface, one edge, and no other side to leave by.