Oracle_Hunter

2009-01-23, 05:25 AM

While calculating the survival time of a hypothetical Dwarven Paladin at the bottom of a lake, I noticed that the drowning rules actually make you drown faster as you level. This Paladin, for instance, drowns roughly twice as fast at level 10 than at level 1.

This is clearly an unintended result. I also recall discussing the original Skill Challenge set-up with a math-inclined friend and he pointed out that if you used the +2 successes / +1 failures method, the challenges got easier to win the "harder" they were supposed to be. This was largely fixed by the Errata, but I'm starting to wonder: are there other glaring math errors like this still in 4E?

So, if you are mathematically inclined, could you pick out any other such errors and suggest solutions? If not other ones, then how about the Drowning Problem.

The Math

After 30 rounds, you begin taking DC (15 + 5R) Endurance checks, where R is the number of rounds > 30 that have elapsed. Assume that all possible checks are successful.

Upon failing a check, the character loses 1 Healing surge. When a character is at 0 Surges, he begins taking damage = his level. This continues until the character is a Negative Bloodied, at which point he is dead (assume all Death Saves are successful).

Optimal Survival Time = 30 + (rounds until 20+Endurance < 15 + 5R) + (rounds until HP-(LV)R < or = -(0.5HP)

Our Dwarven Paladin has a base Endurance check of +11, 23 HP, and 16 Surges.

- Each level he gets +6 HP

- Every even level he gets +1 to Endurance

- At level 4 he gets an additional +1 HP

- At level 8 he gets an additional +1 HP, +1 Surge, and +1 Endurance

GOAL: Our dwarf's optimal survival time does not decrease as his level increases.

Please show your work :smallbiggrin:

This is clearly an unintended result. I also recall discussing the original Skill Challenge set-up with a math-inclined friend and he pointed out that if you used the +2 successes / +1 failures method, the challenges got easier to win the "harder" they were supposed to be. This was largely fixed by the Errata, but I'm starting to wonder: are there other glaring math errors like this still in 4E?

So, if you are mathematically inclined, could you pick out any other such errors and suggest solutions? If not other ones, then how about the Drowning Problem.

The Math

After 30 rounds, you begin taking DC (15 + 5R) Endurance checks, where R is the number of rounds > 30 that have elapsed. Assume that all possible checks are successful.

Upon failing a check, the character loses 1 Healing surge. When a character is at 0 Surges, he begins taking damage = his level. This continues until the character is a Negative Bloodied, at which point he is dead (assume all Death Saves are successful).

Optimal Survival Time = 30 + (rounds until 20+Endurance < 15 + 5R) + (rounds until HP-(LV)R < or = -(0.5HP)

Our Dwarven Paladin has a base Endurance check of +11, 23 HP, and 16 Surges.

- Each level he gets +6 HP

- Every even level he gets +1 to Endurance

- At level 4 he gets an additional +1 HP

- At level 8 he gets an additional +1 HP, +1 Surge, and +1 Endurance

GOAL: Our dwarf's optimal survival time does not decrease as his level increases.

Please show your work :smallbiggrin: