The next patch

[PhilD]

Originally posted by Jasper:
You're right, geometric is definitely the right word, not exponential.

I honestly fail to see the difference between "geometric" and "exponential" in this context. They're exactly the same: a constant amount of additional resources (time, or gems, or whatever) brings a constant multiplier to the total value.

Here, the growth is exponential (or geometric) with respect to time, because each 20 clams (or 14, if you have the Dwarven Hammers) generate enough gems each turn to make one more clam: your clam number, just from the clam output, will double every 15-16 turns.

I just computed progression lists, both assuming no normal gem input:

If you start on turn 0 with 20 clams, no gems, and convert each 20 pearls into one clam, you can start turn 16 with 40 clams and 39 pearls; you will need a second forger for the first time on turn 8.

If you start turn 0 with 14 clams, no gems, and a hammer, you will start turn 12 with 28 clams and 34 pearls, assuming you have the second hammer by turn 7. By turn 16, you will have 36 clams and 46 pearls, now needing a third hammer and forger.

Of course, the need for gold (upkeep and cost of recruiting the forgers and clam-bearers) will increase at the same speed. You can alchemize your pearls to pay for it, but it will significantly slow down your doubling rate.

I don't know how efficient this really is; I've never tried very hard to make it work.