Level 5¶: 1M: Create a DL V Precursor Golem technological creature with “When this creature is created, create 2 DL III Golem technological creatures.” and “Whenever a spell/power is cast that targets only a single Golem, that spell/power is copied for each other Golem that spell could target. Each copy targets a different one of those Golems.” The Precursor Golem is in one group and the other Golems are in another group. They all take up 1 summon slot.
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DM note: What if you cast a spell/power on your Precursor Golem that created copies of it? The triggered ability on it would make additional Golem copies. The most efficient way to get the most copies is to target a non-Precursor Golem. I will refer to this concept as Precursor Golem Black Math. To save you some headache, I went ahead and did it for you:
P_0 = Initial Precursor Golems
V_0 = Initial Vanilla Golems not targeted by spell
N = Number of times Precursor Golems trigger, typically=P_0
C = Number of copies the spell creates
P_N = Number of Precursor Golems after Precursor Golems trigger
V_N = Number of Vanilla Golems after Precursor Golems trigger
Assumptions:
Copy spell only targets a single Vanilla Golem
The next time you cast the spell you don't count the originally targeted Golem (effectively subtracting 1 from V_N in the previous step) and add the targetted golem plus spell created copies at the end.
Generalized equation for each time you cast copy spell
P_n = P_0*((1+C)^N)
V_n = (V_0 + ((2*C)/(1+C)*P_0*N))*((1+C)^N)
For example using a kicked Rite of Replication (creates 5 copies of a target creature)
1st kicked Rite of Replication
P_N = 1*((1+5)^1) = 1*6^1 = 6 Precursor Golems
V_N = (1+((2*5/(1+5)*1*1))*((1+5)^1) = (2+10/6)*6^1 = 22 Vanilla Golems
2nd kicked Rite of Replication
P_N = 6*((1+5)^6) = 6*6^6 = 279,936 Precursor Golems
V_N = (21+((2*5)/(1+5)*6*6))*((1+5)^6) = 81*6^6 = 3,779,136 Vanilla Golems
3rd kicked Rite of Replication
P_N = 279936*((1+5)^279936) = 279,936*6^279,936 Precursor Golems
V_N = 3779141+((2*5/(1+5)*279936*279936))*((1+5)^279936) = 130,610,999,237*6^279,936+6(from targeted spell) Vanilla Golems
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