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High-period c/2 engines

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High-period c/2 engines

Postby A for awesome » September 6th, 2015, 5:21 pm

I was wanting to know if anyone has ever searched for c/2 engines with period >4. I am currently running a JLS search for 3c/6 ships, and I started (but was unable to complete due to computer issues) a search on this potential 4c/8 engine:
x = 6, y = 4, rule = B3/S23
b3o$o2bo$o4bo$o!
I have found a ship with that engine in a close variant of Life, but an equivalent ship in Life continues to elude me.

As far as I know, the pufferfish engine is the only high-period c/2 engine known. I think p6 or higher ships could be more useful and possibly more easily synthesized than currently known c/2s. (It wouldn't surprise me if one shows up on Catagolue at some point in time.)
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

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Re: High-period c/2 engines

Postby Sokwe » September 6th, 2015, 7:23 pm

A for awesome wrote:As far as I know, the pufferfish engine is the only high-period c/2 engine known.

It depends on what you mean by "engine". There are a lot of c/2 puffers in the c2-extended collection of jslife, and most are usually described as "engines". The pufferfish has the distinction of not being supported by any p2 or p4 components. Currently there are no c/2 ships which are completely p6, so such a pattern would be interesting, but I'm not so sure if it would lead to new puffers.
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Re: High-period c/2 engines

Postby velcrorex » September 7th, 2015, 10:36 am

4c/8 looks especially difficult to find as you'll have mostly 2c/4 results to sift through.
I've started looking anyway. Here's a couple ships which are mostly 2c/4 but have a small period 8 part at the back. Surely, not quite what you're looking for.

x = 82, y = 62
5$34booboo$33bo5bo$34booboo$7bo3bo23b3o$5boo5boo$5boo5boo19b3ob3o$6bo
5bo17bobobooboobobo$3bobobbobobbobo15boobbobobboo$3boo3bobo3boo15b4obo
b4o$bbo4bo3bo4bo16bo5bo$bbo4bo3bo4bo15bo7bo$bbo13bo14b5ob5o$4b3o5b3o
16boo3bo3boo$4bo9bo19bo3bo$4boobbobobboo19bo3bo$5boob3oboo15boobobb3o
bboboo$3bobbob3obobbo12bobbo9bobbo$bbo3bo5bo3bo11bo15bo$bbo3bo5bo3bo
14bo9bo$6bobbobbo16b3o9b3o$3bo3booboo3bo13boo11boo$4boo7boo21bo$6bo5bo
17b3o7b3o$6bobobobo17boo9boo$5bobooboobo17bo4bo4bo$5b3o3b3o17bo3bobo3b
o$6bo5bo18bobbo3bobbo$32b3o3b3o!


Edit, another, with a larger p8 part.
x = 17, y = 32, rule = B3/S23
6b2ob2o$6b2ob2o$3b2o7b2o2$3b2o7b2o2$5b3ob3o2$3bo9bo2$3bob3ob3obo2$5bo
5bo$6bo3bo$3bo3b3o3bo$2bob2ob3ob2obo$5b3ob3o$5bobobobo$4bo2bobo2bo$4bo
2bobo2bo$4bo2bobo2bo$2o3bobobobo3b2o$3bobobobobobo$2o5bobo5b2o$bob3obo
bob3obo$b2ob2ob3ob2ob2o$2bobo7bobo$5bo5bo$3bo9bo$3bo3bobo3bo$4bo2bobo
2bo$5b3ob3o!
Last edited by velcrorex on September 7th, 2015, 1:00 pm, edited 1 time in total.
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Re: High-period c/2 engines

Postby A for awesome » September 7th, 2015, 12:48 pm

Sokwe wrote:
A for awesome wrote:As far as I know, the pufferfish engine is the only high-period c/2 engine known.

It depends on what you mean by "engine". There are a lot of c/2 puffers in the c2-extended collection of jslife, and most are usually described as "engines". The pufferfish has the distinction of not being supported by any p2 or p4 components. Currently there are no c/2 ships which are completely p6, so such a pattern would be interesting, but I'm not so sure if it would lead to new puffers.

Perhaps "fronts" would have been a better term.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce
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