Editing Infinite Coven (section)

===THE MATH===

Now that your build is complete, all you need to do is cast Army Across Time when you're ready to roll. Since Army Across Time summons clones of yourself to use Aid Another for you, they'll all have the Coven feat and can add to your caster level. For every clone aiding you, you'll receive a +3 to your caster level for all spells. Here's where the trick comes in: Army Across Time lets you summon another clone AS A FREE ACTION every 3 caster levels, and you get +3 caster levels per clone. This means that you've now turned into a self-replicating ball of caster-colored goo. 

So cast the spell, rise up into the air, and begin accumulating mass as a free action. Since the Scar Hex buffs your Coven to the range of one mile, this means that your expanding ball of alternate selves can potentially encompass a 1 mile radius sphere.

Since every square is 5ft across, this means a radius of 1056 squares. Plugging this into the volume equation for a sphere nets us roughly 4,930,150,072 clones for a bonus of roughly +14,790,450,216 to your caster level. Now if you use a spell like Battering Blast (5d6 force damage, an additional blast every 5 levels) you're getting off '''2,958,090,043 spheres''' for '''14790450216‬d6 of damage''' at a range of roughly 7 million miles.

If you took the optional step of getting Magic Trick (fireball), you're going to be spitting out '''7,395,225,108‬ 10ft-radius fireballs''' at 2d6 each, for a total of '''14790450216d6 fire damage''' over a range of 112,048,865 miles.

Have fun obliterating the moon or swathing the entire planet in flames several times over!