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I'm not sure what the "Lights Out game" is supposed to be, but the upper LifeViewer looks nice when you watch it replicating.

77topaz wrote:I'm not sure what the "Lights Out game" is supposed to be, but the upper LifeViewer looks nice when you watch it replicating.

IIRC, the lights put game is a game where there is a grid of ON lights and switching a light also switches it's neighbors. The goal is to have all the lights off. I forgot the neighborhood used.
EDIT: Just googled it, so you start with a random grid, not a full grid, and it uses the vonNeumann neighborhood

Oh, I see. I remember Myst IV had a particularly annoying puzzle with a principle like that.

So PHP's patterns are "solutions" in that "pressing" those particular squares will flip the state of the entire grid, right?

77topaz wrote:Oh, I see. I remember Myst IV had a particularly annoying puzzle with a principle like that.

So PHP's patterns are "solutions" in that "pressing" those particular squares will flip the state of the entire grid, right?

Correct; the top patterns are the solutions and the bottom ones (which are gen 1 of the top ones) show which squares get flipped - in particular, that they flip the NxN square of the required size.

Bump — what actually does the Lights Out game have to do with B13/S024V?
B13/S024V is known to produce a delicate fractal from a single cell replicator, and I really want to learn more about it. Two years ago when I was into Tilings Encyclopedia, I found that the fractal at generations of the form 2^(2n)-1 can be generated from the following substitution rules: Whereas the fractal at generations 2^(2n-1)-1 uses a different core: Essentially, these rules stem from some XOR operations like There is likely a connection to Lights Out game but I haven't figured it out.
Note how the vacant sites in the substitution rules leads to increasingly large voids after sufficiently many iterations.
1800th post milestone

The name of said two-dimensional fractal is still a mystery to me. I know that a certain multicolored version is known as "Open Peano" and is briefly mentioned in this article by M. Prunescu, but there is no further description for the shape.

What's more, we have discovered three other INT replicators that produce the fractal permanently (i.e. constantly observable, as opposed to the temporary one-generation pattern from B13/S024V).

GUYTU6J wrote: October 4th, 2019, 8:14 am I'm astonished by the tubs this quadratic replicator produces (and also the history envelope). Does this fractal appear elsewhere?

Code: Select all

x = 5, y = 5, rule = B2kn3-nq5y6i7/S23-aeny4ciknqtz
3bo$2b3o$bo$2obo$bo!

jimmyChen2013 wrote: May 17th, 2021, 6:36 am A 2d rep that, beside having a cool look, initially seems to be just a regular binary-sierpinski-on-each-side one but actually not quite: it leaves an pattern of oscs behind that looks like another common 2d rep (which I don't know the name to but you can see it for yourself)

Code: Select all

x = 3, y = 3, rule = B2i3aeijn4cetwy5ceikn6kn78/S2a3-jkqy4en5eikq6-a78
bo$3o$bo!

yujh wrote: June 5th, 2021, 1:05 am pi-plicator?

Code: Select all

x = 3, y = 2, rule = B3-kqy6cn7c8/S2-i3-a4iqy5kq6a8
3o$obo!

The one of mine was registered in Golly pattern collection under Non-Totalistic/Replicators/fractal-making-replicator.rle, but there was no substantial information in its comment, which also motivated me to make these posts.