MathAndCode wrote: November 27th, 2020, 6:50 pm
Here's a small p15 oscillator.
I believe that that was found in the early days of Symbiosis, but like the P4 emulators, it was forgotten about. Thanks for pointing it out again. Now, you are about to see something amazing. A P16 gun appeared in my soup!
Code: Select all
x = 6, y = 9, rule = Symbiosis
.B$.A$B.2A$.A2.A$2A2.A$3.2A$.B$.A3.A$4.B!
Now, look at this phase of the gun. The only thing keeping it from advancing right now is that domino. If that domino is suppressed, then it skips ahead to P15.
Code: Select all
x = 6, y = 9, rule = Symbiosis
.B$.A.2A$B$.A.2A$2A.2A2$.B$.A3.A$4.B!
And indeed, it can be suppressed, creating a new P15 glider gun.
Code: Select all
x = 6, y = 23, rule = Symbiosis
3.A$2.3A$.5A7$.5A$2.3A$3.A3$.B$.A$B.2A$.A2.A$2A2.A$3.2A$.B$.A3.A$4.B!
So next, I wondered: Can it be skipped ahead more? Well, if we suppress that domino before it even finishes separating into a true and proper domino, well, what do we get?
A true-period-14 glider gun!
Code: Select all
x = 8, y = 15, rule = Symbiosis
4.B$3.3A$.B5AB2$4.A$4.A$.B4.BA$.A$B.2A$.A2.A$2A2.A$3.2A$.B$.A3.A$4.B!
Now, we just need a pseudo-period-13 glider gun.

EDIT: It can probably also be phase-shifted around in other ways, and I fixed a typo.