ZvZ Math

Introduction
Math section of the ZvZ matchup.

Fungal Growth:

Economy/Production Math
6 Worker on 2 Geysirs = ~215 Gas/Minuite

16 Worker on 8 Patches = ~672 Minerals/Minuite

Theoretical Maximum due to occupation = ~121 Gas/Minuite

TheoreticalMaximum due to occupation = ~861 Minerals/Minuite

A fully saturated base with 8 minerals and 2 gas will harvest ~816 minerals and ~228 gas per game minute.

Lair Tech Composition Math:

Roach versus Locust

Roaches with +1 4Shot +1 Locusts, Roaches with +2 always 4Shot Locusts

Roach versus Swarmhost

If you get +2 Roaches before he has +2 Carapace Swarmhosts, you can 9Shot Swarmhosts, with 4 secs before you need 10 Shots.

Hive Math (fully upgraded):
3/3 Roach has 4 Armor and 145 Health. Does 22 Damage per 2 seconds.

3/3 Hydra has 3 Armor and 80 Health. Does 15 Damage per 0,83 seconds.

Hydra costs 33% more Minerals and 100% more Gas than a Roach. In combined ressources Hydras cost 50% more.

Missile-Style versus Ultralisks:

3/5 Ultralisk has 6 Armor and 500 Health. Does 44 Damage per 0,861 seconds.

Thus Hydra does 9 Damage/Hit on Ultralisk with a DPS of 10,84. Roach does 16 Damage with a DPS of 8.

Roach withstands 3 Ultralisk Hits while Hydra only withstands 1.

=> Thus Roach is way more cost effective versus Ultralisks. And it also leaves more Gas for Vipers and Infestors.

Missile-Style versus Zergling:

3/3 Zergling has 3 Armor and 35 Health. Does 8 Damage per 0,587

Roach needs 2 Shots to kill a Zergling with a kill time of 4 seconds. Hydralisk needs 3 shots (if only 1 point regeneration) with a kill time of 2,49 seconds. Kill time ratio is 1,61 Roach/Hydra.

Crackling needs 16 Shots to kill a Hydra with a kill time of 9,4 seconds. Crackling needs 37 Shots to kill a Roach with a kill time of 21,3 seconds. Kill time ratio is 2,31 Hydra/Roach.