Uniswap v3 does not work with continuous prices — it uses a discrete tick lattice where each tick represents a price 1.0001^tick. One tick is exactly one basis point (0.01%). Each fee tier has its own tick spacing: 1 (0.01% pool), 10 (0.05%), 60 (0.3%), 200 (1%) — wider spacing for higher-fee pools where MEV is heavier.
Positions snap to tick boundaries. A ±5% range around p=1.0 covers about 1000 ticks. The demo computes tick boundaries for that range and counts 60-spaced positions that fit.
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<body style="background:#06040d;color:#e6e0ff;font-family:monospace;padding:20px"><pre id="o"></pre>
<script>
const priceToTick = (p) => Math.floor(Math.log(p) / Math.log(1.0001));
const tickToPrice = (t) => Math.pow(1.0001, t);
const tickLow = priceToTick(0.95);
const tickHigh = priceToTick(1.05);
const spacings = [1, 10, 60, 200];
const fits = spacings.map(s => Math.floor((tickHigh - tickLow) / s));
document.getElementById('o').textContent = [
'range ±5% around p=1.0:',
' tickLow = priceToTick(0.95) = ' + tickLow + ' (price ' + tickToPrice(tickLow).toFixed(5) + ')',
' tickHigh = priceToTick(1.05) = ' + tickHigh + ' (price ' + tickToPrice(tickHigh).toFixed(5) + ')',
' span = ' + (tickHigh - tickLow) + ' ticks',
'',
'positions that fit at each tick spacing:',
...spacings.map((s, i) => ' spacing=' + String(s).padStart(3) + ' ' + fits[i] + ' positions (' + ['0.01%','0.05%','0.3%','1%'][i] + ' fee tier)')
].join('\n');
</script></body></html>