Trinity: Three Pool Curves

Linear bonding curves · 300M $TRI per pool · WETH @ $2,062 · CHAOSLP @ $0.0000000257 · All prices as of 2026-04-02

Key Insight

All three curves produce identical USD pricing. The linear curve price(s) = BASE + SLOPE × s is parameterized so that each pool maps to the same $0.0001 → $0.01 USD range. The curves look different in native quote terms (tiny fractions of WETH, thousands of CHAOSLP) but a buyer spending $100 on any pool gets the same amount of $TRI at the same point on the curve.

This is by design — arbitrageurs will keep the pools aligned. If ETH price moves, the ETH pool's USD-equivalent price shifts, creating an arb opportunity that corrects it.

Pool Parameters

USDC Pool

BASE: 0.0001 USDC
Floor price per TRI
SLOPE: 3.3 × 10⁻¹¹
USDC per TRI per token sold
Range: 0.0001 → 0.01 USDC
$0.0001 → $0.01

WETH Pool

BASE: 4.85 × 10⁻⁸ WETH
Floor price per TRI
SLOPE: 1.6 × 10⁻¹⁴
WETH per TRI per token sold
Range: 4.85e-8 → 4.85e-6 WETH
$0.0001 → $0.01

CHAOSLP Pool

BASE: 3,889.77 CLP
Floor price per TRI
SLOPE: 1.28 × 10⁻³
CLP per TRI per token sold
Range: 3,890 → 389,000 CLP
$0.0001 → $0.01

Price vs. % Sold (All Pools, USD)

Since all three curves map to the same USD range, they overlap perfectly:

TRI/USDC
TRI/WETH
TRI/CHAOSLP

Price in Native Quote Asset

The same curves look very different in their native denominations:

TRI / USDC

TRI / WETH

TRI / CHAOSLP

Cumulative Cost to Buy (USD)

Milestone Table (USD Equivalent)

SoldTokens USDC PriceUSDC Cost WETH PriceWETH Cost CLP PriceCLP Cost
0%0 $0.000100$0 $0.000100$0 $0.000100$0
10%30,000,000 $0.001090$17,850 $0.001090$17,850 $0.001090$17,850
25%75,000,000 $0.002575$100,312 $0.002575$100,312 $0.002575$100,313
50%150,000,000 $0.005050$386,250 $0.005050$386,250 $0.005050$386,250
75%225,000,000 $0.007525$857,813 $0.007525$857,812 $0.007525$857,812
90%270,000,000 $0.009010$1,229,850 $0.009010$1,229,850 $0.009010$1,229,850
100%300,000,000 $0.010000$1,515,000 $0.010000$1,515,000 $0.010000$1,515,000

Native Quote Asset Prices

SoldTokens USDC/TRI WETH/TRI CHAOSLP/TRI
0%0 0.000100 USDC 0.0000000485 WETH 3,889.77 CLP
10%30,000,000 0.001090 USDC 0.0000005286 WETH 42,398.53 CLP
25%75,000,000 0.002575 USDC 0.0000012488 WETH 100,161.66 CLP
50%150,000,000 0.005050 USDC 0.0000024491 WETH 196,433.54 CLP
75%225,000,000 0.007525 USDC 0.0000036494 WETH 292,705.42 CLP
90%270,000,000 0.009010 USDC 0.0000043695 WETH 350,468.55 CLP
100%300,000,000 0.010000 USDC 0.0000048497 WETH 388,977.30 CLP

What This Means

At launch (0% sold): 1 TRI = $0.0001 = 0.0001 USDC = 0.0000000485 WETH = 3,890 CHAOSLP

At 50% sold: 1 TRI = $0.005 across all pools. Total spent across all 3 pools: ~$1.16M

At fully sold: 1 TRI = $0.01. 900M TRI circulating = $9M fully diluted market cap

Total cost to buy out all 3 pools: ~$4.545M ($1.515M per pool)

Where It Gets Interesting

ETH moves: If ETH goes from $2,062 to $3,000, the WETH pool becomes cheaper in USD terms. Arbers buy TRI on the WETH pool and sell on the USDC pool until prices converge. This generates fees on both pools and burns TRI on the sell side.

CHAOSLP moves: CHAOSLP is volatile. If it 10x's, the CHAOSLP pool becomes very cheap in USD terms — massive arb opportunity. If it dumps, the pool becomes expensive and trading shifts to USDC/WETH. The CHAOSLP pool can die without affecting the other two.

The USDC pool is the anchor. It’s the only pool with a stable quote asset. It sets the "true" USD price that the other pools arb against.

V2: Differentiated Curves

Steeper USDC slope (1.5×) · Shorter $CHAOSLP pool (233M) · ETH unchanged · 90% in curves, 10% treasury

The curves are no longer identical. The USDC pool rises faster (1.5× slope, 334M), reaching $0.01663 at full sell-through vs $0.01109 for ETH (333M). The $CHAOSLP pool holds 233M tokens, capping at ~$0.00779 USD. 90% of supply is locked in curves.

This creates persistent arb surfaces between pools with different terminal prices — the USDC pool will almost always be the most expensive venue.

V2 Supply Distribution

PoolSupply%Slope (USD-equiv)Terminal PriceTotal Cost
TRI / USDC334M33.4%4.95 × 10⁻¹¹ (1.5×)$0.01663$2,794,400
TRI / WETH333M33.3%3.30 × 10⁻¹¹$0.01109$1,863,000
TRI / $CHAOSLP233M23.3%3.30 × 10⁻¹¹$0.00779$919,100
Treasury100M10%
Total1B100%$5,576,500

V2 Pool Parameters

USDC Pool (1.5× slope)

BASE: 0.0001 USDC
Floor price per TRI
SLOPE: 4.95 × 10⁻¹¹
USDC per TRI per token sold
Supply: 334M · Range: $0.0001 → $0.01663

WETH Pool (baseline)

BASE: 4.85 × 10⁻⁸ WETH
Floor price per TRI
SLOPE: 1.6 × 10⁻¹⁴
WETH per TRI per token sold
Supply: 333M · Range: $0.0001 → $0.01109

$CHAOSLP Pool (233M)

BASE: 3,889.77 CLP
Floor price per TRI
SLOPE: 1.28 × 10⁻³
CLP per TRI per token sold
Supply: 233M · Range: $0.0001 → $0.00779

V2 Price vs. Tokens Sold (USD)

TRI/USDC (1.5× slope)
TRI/WETH (baseline)
TRI/$CHAOSLP (200M cap)

V2 Cumulative Cost to Buy (USD)

V2 Milestone Table (USD Equivalent)

Tokens Sold USDC PriceUSDC Cost WETH PriceWETH Cost $CHAOSLP Price$CHAOSLP Cost

V2 Arb Dynamics

USDC is always most expensive. At any fill level, the USDC curve price exceeds ETH and $CHAOSLP. Arbers buy cheap on ETH/$CHAOSLP and sell on USDC — ETH fees flow to the gauge, $CHAOSLP fees flow to Chaos staking, USDC sells burn TRI.

$CHAOSLP sells out first (233M), then ETH (333M). USDC is the deepest pool (334M) and the last to sell through. Once $CHAOSLP is gone, arb narrows to USDC ↔ ETH. 90% of supply is locked in curves, 10% treasury for LPs and partnerships.

Total cost to buy all curves: ~$5.58M. At 10% sold, a $1K trade moves the USDC price ~1.5% — enough arb signal to drive cross-pool volume.