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The Quadratic Problem—Speculations on 4e
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<blockquote data-quote="Cheiromancer" data-source="post: 3793805" data-attributes="member: 141"><p>Oops. <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f631.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":o" title="Eek! :o" data-smilie="9"data-shortname=":o" /> Yeah, 50% more power.</p><p></p><p>I'm thinking that quality would be the product of damage dealing capacity and staying power. In this abstract example (where each creature's AC, attack bonus and damage/attack is set so the damage dealt is 1 hp/round) the differences between different creatures can be set solely in terms of hit points (since multiplying by 1 doesn't change things). I guess that's the quality of each individual creature.</p><p></p><p>Now I'm thinking that a band of creatures can be assigned a number of hit points just by summing the individual contributions- that band of creatures will also do a certain number of hit points damage per round; in this toy example, at the rate of 1 hp/round/creature. </p><p></p><p>The unit I'm using is the mook. I figure that if 8 mooks gang up on 1 mook, they will lose 1/64 of their total hit points. They kill him in 1.25 rounds, and he does 1.25 damage in that interval. 1.25/80 = 1/64. Similarly for 4 brutes against a mook. But a mixed group of 2 brutes and 4 mooks loses only 1/96 of their hit points when they take down a mook.</p><p></p><p>Does that make more sense?</p><p></p><p>The power of a band diminishes over time, as its members drop. This is the death spiral familiar to those who have experienced a TPK. But I'm not considering that at this point.</p><p></p><p></p><p></p><p>If the number of creatures in an encounter is always equal to the number of characters, then the distinction becomes less important. Or if extra monsters wait in line to engage the hero, or something. But if you want to fiddle with the number of combatants the math won't work out properly.</p></blockquote><p></p>
[QUOTE="Cheiromancer, post: 3793805, member: 141"] Oops. :o Yeah, 50% more power. I'm thinking that quality would be the product of damage dealing capacity and staying power. In this abstract example (where each creature's AC, attack bonus and damage/attack is set so the damage dealt is 1 hp/round) the differences between different creatures can be set solely in terms of hit points (since multiplying by 1 doesn't change things). I guess that's the quality of each individual creature. Now I'm thinking that a band of creatures can be assigned a number of hit points just by summing the individual contributions- that band of creatures will also do a certain number of hit points damage per round; in this toy example, at the rate of 1 hp/round/creature. The unit I'm using is the mook. I figure that if 8 mooks gang up on 1 mook, they will lose 1/64 of their total hit points. They kill him in 1.25 rounds, and he does 1.25 damage in that interval. 1.25/80 = 1/64. Similarly for 4 brutes against a mook. But a mixed group of 2 brutes and 4 mooks loses only 1/96 of their hit points when they take down a mook. Does that make more sense? The power of a band diminishes over time, as its members drop. This is the death spiral familiar to those who have experienced a TPK. But I'm not considering that at this point. If the number of creatures in an encounter is always equal to the number of characters, then the distinction becomes less important. Or if extra monsters wait in line to engage the hero, or something. But if you want to fiddle with the number of combatants the math won't work out properly. [/QUOTE]
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