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Under the Hood: OldSchooling 5e: Falling Damage, and Magic

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rawma:

--- Quote from: Bren;813264 ---Well no wonder there was confusion. The description and the example contradict each other.

[*]1d6 per 10 feet fallen is Nd6 damage for a fall of Nx10 feet which is 3d6 damage for a 30 foot fall.
[/LIST]
[*]Damage of 1d6+2d6+3d6 might be written as Sum(i=1, N) x d6 damage for a fall of Nx10 feet.
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--- End quote ---


If they fell 30 feet, they also fell from 20 feet and from 10 feet (throw "cumulative" into the description, maybe). Characters named Zeno take infinite damage when they hit the ground (but fortunately they never actually fall that far).

Bren:

--- Quote from: rawma;813335 ---If they fell 30 feet, they also fell from 20 feet and from 10 feet (throw "cumulative" into the description, maybe).
--- End quote ---
Or just use a math formula with an example. Mathematicians invented all those nifty symbols to clearly and succinctly cover this exact case. Why not use the symbols (plus example) when that would clarify the sloppy language?


--- Quote ---Characters named Zeno take infinite damage when they hit the ground (but fortunately they never actually fall that far).
--- End quote ---
Zeno takes damage per each half unit of the remaining distance not per ten feet. Fortunately since he only falls half the remaining distance per combat round, it takes him an infinite number of combat rounds to hit the ground. Most people don't realize that Zeno started falling in Dave Arneson's very first game session, but no one (not Dave, not Gary, not any other old geezer) has run a campaign long enough for Zeno to hit the ground.

Yet.

rawma:

--- Quote from: Bren;813368 ---Or just use a math formula with an example. Mathematicians invented all those nifty symbols to clearly and succinctly cover this exact case. Why not use the symbols (plus example) when that would clarify the sloppy language?
--- End quote ---


Principia Mathematica - the first fantasy heartbreaker. Pretty much soured the hobby on mathematical notation, especially with the greater success of its rival, Little Wars.

Bren:

--- Quote from: rawma;813375 ---Principia Mathematica - the first fantasy heartbreaker. Pretty much soured the hobby on mathematical notation, especially with the greater success of its rival, Little Wars.
--- End quote ---

The Principia as a fantasy heartbreaker is clever. :cool:

Although I was thinking of something earlier and more integral to mathematical notation and the solution of both Gary's problem and Zeno's, namely the works of Newton and Leibniz on the summation of series and the calculus.

rawma:

--- Quote from: Bren;813382 ---Although I was thinking of something earlier and more integral to mathematical notation and the solution of both Gary's problem and Zeno's, namely the works of Newton and Leibniz on the summation of series and the calculus.
--- End quote ---


Oh, indeed, their Priorit√§tsstreit makes Gygax and Arneson look like underachievers in the squabbling arena. But Σ for summation was Euler's notation introduced later; intriguingly, Euler also introduced i (crucial to beholders), and dice notation in a little known monograph, Advanced Deltas and Derivatives, although some suggest he borrowed it from Descartes ("salvabo ergo sum").

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