Eye of Ender Triangulation Calculator
Triangulate where your Eyes of Ender point from two or three throws, averaging out reading errors, with a miss check for each throw.
Each Eye of Ender you throw draws a line toward a stronghold, and where two lines cross is where you dig. Two throws are enough in theory, but a tenth of a degree misread on F3 can shift the answer by dozens of blocks. This calculator accepts a third throw and finds the point that fits all lines best, then shows how far each line misses it, so a bad reading stands out.
How to use this tool
- Throw an eye, aim the crosshair at it and copy X, Z and the first "Facing" number from F3.
- Travel a few hundred blocks sideways and do it again for throw 2.
- For throw 3, move sideways again and tick "I have a third throw".
- Head to the estimate; if one throw shows a large miss, re-throw from that spot.
Formula
minimise Σ dᵢ², dᵢ = |uᵢ × (P − Pᵢ)|, uᵢ = (−sin θᵢ, cos θᵢ)
Pᵢ is where you stood, θᵢ the F3 facing angle (0° = south, 90° = west) and dᵢ the perpendicular distance from the estimate P to line i. Solving the 2×2 least-squares system gives P; with two throws it is the exact crossing point.
Example
Throws at (−350, 80) facing 107.4°, (−400, 450) facing 117.9° and (−900, 700) facing 133.8° give an estimate near X −2,126, Z −472, about 1,697 blocks from the last throw. The largest miss is 7.1 blocks (throw 2), so the three readings agree well, and the Nether coordinates are X −266, Z −60.
Frequently asked questions
Why use three throws instead of two?
Two lines always cross somewhere, even when one angle is wrong, so you cannot tell. A third line either passes close to the crossing — confirming your readings — or misses it by a lot, which signals inconsistent readings; it cannot identify the incorrect throw by itself.
Will I lose my Eyes of Ender?
In Java Edition an eye has a 20% chance to shatter after it flies; otherwise it drops so you can pick it up. Three throws cost on average less than one eye.
Which angle do I copy from F3?
The "Facing" line shows two numbers in brackets: the first is the horizontal angle (yaw) you need; the second is how far you look up or down.
Why does the result point to empty ground?
Strongholds are underground. Dig a staircase down near the estimate, or throw one more eye close by — when you are standing above the stronghold the eye flies downward.
Sources
Last updated: 2026-10-30