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

* Effective radius factor (k) due to refraction (approximate value)
°C °F Arid Normal Humid
−40−40
−30−22
−20−4
−1014
032
1050
2068
3086
40104
R' = R * k
d = sqrt(2 * h * R')
x = sqrt((o - d)^2 + R'^2) - R'
R′ — effective radius
R — planet radius
k — effective radius factor
d — horizon distance
h — observer elevation
x — object height obstructed
o — object distance
(1 mile = 5280 feet)

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

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