Sum of k from 1-9 is 45 (1-10 is 55).
right, awkward D:
9 turns is pretty high though, right?
what happens when we compare nova (1 card) to a quantum pillar (1 card)?
12 instant quanta, vs 3 quanta per turn. that's 4 turns with the pillar to generate the same amount. so that would be the crude equalization turn. but with the formula, turn 4 would be nova 12x4=48, and the pillar would be 12 quanta for 1 turn, 9 quanta for 2 turns, 6 quanta for 3 turns, 3 quanta for 4 turns => 12x1 + 9x2 + 6x3 + 3x4=12+18+18+12=60.
nova after 3 turns, 12x3=36. pillar after 3 turns has 9x1 + 6x2 + 3x3=9+12+9=30. close enough? equalizes at 3 turns?
You are counting the quanta from the pillar extra times. Let's look at the three turn example. 3x3 is refering to the 3 quanta produced on the first turn, which is there on each of the first three turns. Then you have 6x2. Where is the 6 coming from? It is the three on the second turn + the three on the first turn. But, you already counted the three from the first turn as being around on all three turns. If you did want to use this method of counting, than nova should be 12x3 + 12x2 + 12x1 = 72, much more than the quanta pillar has.
Going back to the method used in the immo comparisons, the pillar would be producing three times as much as a burning pillar would. Since the original formula is just a summation, this will result in three times the end result. Sine we are dealing with an equality or inequality, we can dived both sides by three. Thus, comparing nova to a QP is the same as comparing an immo that produces 4 quanta + 1 each (5 fire total) to 1 nova + 1 burning tower. According to OldTree's chart, the equalization is at turn 7.
12x7 ? 3 + 6 + 9 + 12 + 15 + 18 + 21
84 ? 84
84 = 84
This checks out. So the nova is as effective by these standards as an immo that produces 5 fire quanta, and the current immo produces 6. This tells us that the current immo is slightly more powerful than nova. Considering that a hand with immo as the only 0 cost can not play anything, as you have no creatures to sacrifice yet, you may have to discard on the first turn, while with a starting nova you can at least play the nova, I think that this is fair.
Poll
