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## Things to be discovered

For general discussion about Conway's Game of Life.

### Re: Things to be discovered

On the more complex side of things, I would like to see a counting device of some sort that defies integer overflow simply by growing another counter.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3310
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Things to be discovered

muzik wrote:On the more complex side of things, I would like to see a counting device of some sort that defies integer overflow simply by growing another counter.

Patterns/HashLife/logarithmic-width.mc:
`x = 1077, y = 165, rule = 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succ

blah

Posts: 244
Joined: April 9th, 2016, 7:22 pm

### Re: Things to be discovered

I was more thinking of a huge display that displayed the numbers, with some sort of universal constructor in it, but that works as well
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3310
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Things to be discovered

muzik wrote:I was more thinking of a huge display that displayed the numbers, with some sort of universal constructor in it, but that works as well

See also Calcyman's O(sqrt(log(t))) pattern in Golly's Help > Online Archives > Very Large Patterns collection, for a more straightforward binary counter implementation where you can actually decode a number from the triangular bit pattern.

For a pattern that displays actual large digits, it might be a lot easier to build something along the lines of the printer in Calcyman's phi/pi calculators. Arrange it so that the printer "cursor" erases any printed digits that it runs over, before it drops any new pixels -- and add a cursor reset mechanism.

Also maybe print backwards, in a fixed-width font, least significant digit first, so that each new most significant digit shows up in a new empty space, and ones/tens/hundreds/etc. are always displayed in the same location.

dvgrn
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### Re: Things to be discovered

In order:

- synthesis of a c/4 orthogonal spaceship
- syntheses of all oscillators up to 16 bits (2 left)
- syntheses of any other new speeds of spaceships
- syntheses of the remaining 20-bit pseudo still-lifes

I don't just want more synthesis-related things to be discovered; all the other discoveries I wanted that I can think of have already been said.

Goldtiger997

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### Re: Things to be discovered

A'propos the phi calculator, how about to make an updated version of it with all the parts named?
One big dirty Oro. Yeeeeeeeeee...

gameoflifemaniac

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Location: There too

### Re: Things to be discovered

Another one of my absurd ideas is an LWSS gun that uses a gun that goes into a "side shooting" hiesenburp that goes into a glider splitter and then these 3 gliders get arranged and synthesize an LWSS. I tried this but it didn't work because of heisenburp troubles.
If you're the person that uploaded to Sakagolue illegally, please PM me.
`x = 17, y = 10, rule = B3/S23b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5bo2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!`

(Check gen 2)

Saka

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### Re: Things to be discovered

How about patterns that produce breeders, and in turn patterns that produce these patterns? Obviously this would have to be at a decreasing rate that disallows unwanted destruction.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

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Location: Scotland

### Re: Things to be discovered

muzik wrote:How about patterns that produce breeders, and in turn patterns that produce these patterns? Obviously this would have to be at a decreasing rate that disallows unwanted destruction.

That idea keeps coming up, including in threads that you started. The most thorough discussion is probably the super breeders? topic followed by Paul Tooke's Breeders topic, which is where the various Pianola breeder patterns are posted.

If the suggestion here is to look for such things in other rules than B3/S23, it seems like any stage above a breeder is going to have to be very highly engineered to make the breeder-making levels sufficiently sparse. Anyone interested in the details should read through the above links. We have more tools available for this kind of engineering in Conway's Life than pretty much any other rule, I think, except maybe for cases where the rules themselves are highly engineered.

This time around you've mentioned a level above breeder-makers -- an idea horrible enough to give any pattern-builder cold shudders, heebie-jeebies and nightmares simultaneously.

Step 1: build a working breeder-maker, building in a complex mechanism that allows for increasing sparsity, and/or solving all the awkward surplus-output suppression problems that will inevitably come up.
Step 2: figure out how to construct an infinite series of these huge and incredibly explosive things you've just invented.

dvgrn
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### Re: Things to be discovered

As a person who still can't fit their head around current universal constructor technology (not because my head is restricted to the 2D plane and can't move out of the way of the breeders), I don't think I'll be building such a pattern either.

On a similar topic, I don't think we've seen any quadratic growth patterns of forms MSS or SSM yet. The former would be something like a bricklayer puffer, which seems not too impossible to build, and the latter would be a stationary gun factory, which doesn't seem quite as easy at all.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

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Location: Scotland

### Re: Things to be discovered

muzik wrote:On a similar topic, I don't think we've seen any quadratic growth patterns of forms MSS or SSM yet. The former would be something like a bricklayer puffer, which seems not too impossible to build, and the latter would be a stationary gun factory, which doesn't seem quite as easy at all.

It really would be worth reading those "super breeder" and "breeder" links above, if you're interested in these kinds of things, before you send anyone else off on wild-goose chases. Short of that, just try a search in the super-breeder thread for "MSS" or "SSM".

-- Mind you, these things are kind of weird, and there are certainly worries about whether some of them really count. But they're definitely a good effort, and it seems better to keep the subtleties on those other threads.

dvgrn
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### Re: Things to be discovered

Saka wrote:Glider spacer machine
For example, feed this to the machine:
`x = 12, y = 12, rule = B3/S2310bo\$10b2o\$9bobo4\$4b3o\$6bo\$5bo\$2o\$b2o\$o!`

To turn it into this:
`x = 11, y = 11, rule = B3/S238b3o\$10bo\$9bo2\$4b3o\$6bo\$5bo2\$3o\$2bo\$bo!`

idk why, but it looks like the gliders went to military camp and came back out well trained.
`x = 8, y = 10, rule = B3/S233b2o\$3b2o\$2b3o\$4bobo\$2obobobo\$3bo2bo\$2bobo2bo\$2bo4bo\$2bo4bo\$2bo!`

No football of any dui mauris said that.

83bismuth38

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