2015-07-26

crystal-gems:

scotgem-sugshitposter:

Soo many possible fusions!

:U

Now try adding Steven, Lapis Lazuli, Peridot, and Jasper into this mix.

ninja edit: I asked Reddit about this and got this great reply:

If I understand you correctly, you can combine any number of the gems, up to and including combining all 9 of them. Assuming that’s correct, each individual gem has two states, either it’s in the fusion or it’s not. This means that the total number of combinations possible at all would be 29 = 512. However, this would include not having anybody in the fusion at all, and the 9 possible single gems, which I assume don’t count as fusions. Thus we subtract this from the total to get 512 - 1 - 9 = 502 possible combinations.

Adding a tenth gem would give you 210 - 1 - 10 = 1,013 possible fusions.

Adding Connie means that we will double the number of fusions containing Steven. With 9 total gems (and Connie), Steven is present in 28 = 256, as we can combine any combination of the other gems with Steven as long as it’s not including no gems at all as we add Connie. This gives a total of 502 + 256 = 758 possible fusions.

Similarly adding Connie to the 10 gem situation gives 29 = 512 new fusions for a total of 1013 + 512 = 1,525.

Edit: derped a little bit with Connie.

(The rules were: 9 single gems - Steven, Pearl, Ruby, Sapphire, Amethyst, Lapis, Peridot, Jasper, Rose Quartz. 10 was including Yellow Diamond. Connie can only fuse with Steven, but Stevonnie can fuse with anyone else.)

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