Into the Dungeon: Revived

Rules for fantastic adventure games
playable with paper and pencil and polyhedral dice

Random Character

Random Non-Player Character

Random Monster

Random Magic Item

Random Weather

Horizon and Visibility

Horizon and Visibility

d = sqrt(2 * h * R)
x = sqrt((o - d)^2 + R^2) - R
d — horizon distance
h — observer elevation
R — planet radius
x — object height obstructed
o — object distance
1 mile = 5280 feet

Simplified for Earth-sized planet
(R = 3960 miles)

d = sqrt(1.5 * h)
x = (d - o)^2 / 1.5
d — horizon distance, miles
h — observer elevation, feet
x — object height obstructed, feet
o — object distance, feet