OpenFront Nuke Calculator — How Many Troops Die
Work out what an OpenFront nuke actually kills. Atom and hydrogen scale as the fifth power of the land share you hit; MIRV kills nobody once the defender drops below 3% of their troop cap. SAM interception included.
Troop damage
Troop damage is the point of this calculator. Cost, radius and SAM range are already on screen in game (build menu, preview circle, the red X on the trajectory) — how many troops actually die is not. For atom and hydrogen bombs only what share of your land was hit matters: survivors are (1 − tiles hit ÷ total tiles) to the power of 5, independent of the absolute numbers. MIRV warheads are the opposite — flat (up to 500 per warhead) and they kill nobody once the defender is below 3% of their troop cap. It is a weapon against hoarders. Tiles hit is an estimate — the game never counts it for you, so the radius-derived reference is shown beside the field. Separately: atom and hydrogen are flat priced however many you hold; only MIRV scales, and on every player's launches this match. SAMs reload in 9s, take 30s to build, intercept nothing while under construction, and never reach beyond 150 tiles.
Formula used
병력 사망 — 타일마다 다시 계산돼 누적된다
원자·수소 타일당 사망 = 5 x 남은병력 / 남은타일
누적하면 살아남는 비율 = (1 - 피해타일/전체타일)^5
→ 절대량이 아니라 **맞은 땅의 비율**만이 정한다
MIRV 탄두 타일당 사망 = 500 x (1 - e^(-2 x 초과분/상한))
초과분 = 병력 - 상한 x 0.03
→ 상한의 3% 아래로는 한 명도 안 죽는다
지대공 사거리 = 150 - 480 / (레벨 + 5)
Lv1 70 Lv3 90 Lv5 102 Lv10 118 → 150 에 점근
MIRV 가격 = 25,000,000 + (그 판 전체 발사 수) x 15,000,000
원자 750,000 / 수소 5,000,000 (고정가)
반경 (확실 / 최대) 원자 12/30 수소 80/100 MIRV 탄두 12/18
속도 지대공 12 원자·수소 10 MIRV 탄두 22
평균 피격 타일 = pi x (확실반경^2 + 최대반경^2) / 2
안쪽은 전부 사라지고 바깥 고리는 타일마다 50% 확률이라 그 중간이 기댓값이다
원자 1,640 수소 25,761 MIRV 탄두 735Cost and radius are already on screen in game — the build menu, the preview circle, the red X on the trajectory. What the game never shows is troop damage, which is why that is the heart of this calculator. For atom and hydrogen bombs only the share of land you hit matters. Take out 5% of someone's territory and 23% of their troops die — the same whether they hold 100,000 or 1,000,000. MIRV is the opposite: flat, up to 500 per warhead, and zero once the defender is below 3% of their cap. It only pays against a hoarder; spending 25,000,000 gold on someone already thin buys nothing. Interception is two questions, not one: range and speed. Inside range, a MIRV warhead (22) still outruns the SAM missile (12). Atom and hydrogen bombs (10) are slow enough to be caught. On top of that a SAM reloads in 9s — it cannot stop 350 warheads landing together — and takes 30s to build, during which it intercepts nothing at all.