## 2x2

For discussion of other cellular automata.

### Re: 2x2

Dunno if anyone's discovered it already, but it took me all morning and I discovered that this period 14 oscillator could be used as a glider eater:

x = 20, y = 17, rule = B36/S125o$bo2bobo$5bo12bo$4bobo$16bobo$16bo2bo$16bo7$b3o2$3bobo$2bo! twinb7 Posts: 175 Joined: February 11th, 2014, 8:08 pm Location: Ames, Iowa ### Re: 2x2 twinb7 wrote:Dunno if anyone's discovered it already, but it took me all morning and I discovered that this period 14 oscillator could be used as a glider eater: The oscillator itself is fairly well-known, but the fact it can be used as an eater is definitely new. In fact, I can't think of any other eaters found in this rule yet (that's counting still and oscillating patterns). Also, is this a new P5? It's the only one I know of that isn't a variant of the little p5 posted on the first page: x = 21, y = 21, rule = B36/S12510bo$10bo2$10bo$7b3ob3o$7bo5bo$10bo$4b2o2bobobo2b2o$4bo2bo5bo2bo$4bo11bo$2obo2b2o5b2o2bob2o$4bo11bo$4bo2bo5bo2bo$4b2o2bobobo2b2o$10bo$7bo5bo$7b3ob3o$10bo2$10bo$10bo! Lewis Posts: 320 Joined: March 17th, 2009, 5:26 pm Location: UK ### Re: 2x2? Lewis wrote:Dies out completely in 53 generations (highest recorded) x = 4, y = 4, rule = 125/36 bo$3o$ob2o$3bo!

I've so far checked everything up to and including heptominoes, and about 1/3 of all octominoes.

a 206-generation diehard (from 1 triplet and 2 duoplets):
x = 5, y = 10, rule = B36/S125o$bobo$4bo$4bo6$2o!
c0b0p0

Posts: 645
Joined: February 26th, 2014, 4:48 pm

### Re: 2x2

twinb7 wrote:Dunno if anyone's discovered it already, but it took me all morning and I discovered that this period 14 oscillator could be used as a glider eater:

x = 20, y = 17, rule = B36/S125o$bo2bobo$5bo12bo$4bobo$16bobo$16bo2bo$16bo7$b3o2$3bobo$2bo! Now that I've found an eater, I think reflectors would be a cool addition. Maybe we could make some simple computers in 2x2. I assume there are guns already found. twinb7 Posts: 175 Joined: February 11th, 2014, 8:08 pm Location: Ames, Iowa ### Re: 2x2 twinb7 wrote:Now that I've found an eater, I think reflectors would be a cool addition. Maybe we could make some simple computers in 2x2. I assume there are guns already found. I don't actually think there are any guns yet. Just from playing around with two c/8 gliders, I think the minimum possible period for a gun in 2x2 would be 34, and (to my knowledge) there aren't any oscillators known yet with period as high as that (not counting things like putting a p12 next to a p10 so they interact once every 60 generations, or those 2xn box oscillators that don't really have any usable sparks or any other means of interaction). EDIT: This inspired me to run some oscillator searches, here's a P28 (that's sadly not high-period enough for a gun, but never mind): x = 8, y = 8, rule = B36/S1257bo$5bobo$6b2o$3bo$4b2o$bo2b2o$2bo3bo$3o!

EDIT 2: And a p7:
x = 20, y = 20, rule = B36/S1259b2o$7bo4bo2$5bo8bo$6bob4obo$3bo4b4o4bo$4bo10bo$bo16bo$4b2o3b2o3b2o$o3b2o2bo2bo2b2o3bo$o3b2o2bo2bo2b2o3bo$4b2o3b2o3b2o$bo16bo$4bo10bo$3bo4b4o4bo$6bob4obo$5bo8bo2$7bo4bo$9b2o! Lewis Posts: 320 Joined: March 17th, 2009, 5:26 pm Location: UK ### Re: 2x2 Awesome thread! lukebradford Posts: 100 Joined: October 11th, 2013, 8:07 pm Location: Cambridge, MA ### Re: 2x2 Lewis wrote: twinb7 wrote:Now that I've found an eater, I think reflectors would be a cool addition. Maybe we could make some simple computers in 2x2. I assume there are guns already found. I don't actually think there are any guns yet. Just from playing around with two c/8 gliders, I think the minimum possible period for a gun in 2x2 would be 34, and (to my knowledge) there aren't any oscillators known yet with period as high as that The oscillators should be made then! Playing around with combinations of Lewis's 5-cell methuselah and a duoplet, I found a long eating reaction which produces a (useful?) spark. x = 6, y = 10, rule = B36/S125o$bobo$4bo$4bo5$5bo$4bo!
c0b0p0

Posts: 645
Joined: February 26th, 2014, 4:48 pm

### Re: 2x2

Selection of new oscillators found over the past few months using apgsearch (the P8, P12 and P20) and dr2 (the others):

x = 80, y = 59, rule = B36/S1252b2o27bo$16b2o13bo$5bo$5bo10b2o13bo28b2o$11bob3o2b3obo3bob3ob3obo$2b2o7bobo6bobo3bobo5bobo21bo4bo$15bo2bo11bobo25bo4bo5bo2bo$o11b3o4b3o5b3o3b3o33b2obo$o10bo10bo3bo9bo23b2o$12bo8bo5bo7bo$2b2o54bo4bo9b2o$58bo4bo8b2ob3o$75b3o$60b2o2$2b2o$15bo6bo$5bo8bobob2obobo$5bo8bo8bo$11b2obo8bob2o$2b2o10bobob2obobo$14bobo4bobo34bo4b2o$5bo10bob2obo36bo13b2o$5bo8bobo4bobo42bo5bob2o$14bobo4bobo34bo7bo$2b2o54bo15bo$63b2o8bobo$58bo$58bo2bo$61bo13bo$58bo16bobo$o4bo52bo4b2o11b2o$o4bo$13b2o$2b2o12bobo$14b3obo$5bo5bo$5bo5bo3b3o$18bo$5bo11bo$5bo55b2o$53b2o$59bo4bo$56bo2bo4bo$56bo18bo3bo$59bo4bo10b2ob2o$53b2o4bo4bo4b2o4b2ob2o$71bo3b2ob2o$2b2o47bo7bo4bo5b2o3bo3bo$12b2o2b2o2b2o29bo7bo4bo4b2o$o$o11b2o2b2o2b2o31b2o6b2o$11bo2bo4bo2bo$2b2o8bobo4bobo$14bo4bo$o4bo4b4o2b2o2b4o$o4bo$12b2o2b2o2b2o$2b2o! Lewis Posts: 320 Joined: March 17th, 2009, 5:26 pm Location: UK ### Re: 2x2 I don't recall having seen these two oscillators before: x = 17, y = 7, rule = B36/S1253bo$2bobo$2b3o7bo3bo$12bo3bo$bo3bo8bo$obobobo5bo3bo$obobobo5bo3bo! Found w/ symmetrical variant of apgsearch. 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 A for awesome Posts: 1860 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: 2x2 A for awesome wrote:I don't recall having seen these two oscillators before: A variant of that P3 from a non-symmetric soup: x = 16, y = 16, rule = B36/S1253o3bo2bobob3o$b2ob5o2b2ob2o$o4b2o2bo3bo$5ob2obo3b2o$b2o2bo2bo4b3o$2ob3obo2b4obo$o2bo3bo2b2obo$o4bo3bob2obo$b2obob2o3b3o$o2b2obobo3bob2o$4obo2bob2o3bo$b2ob2o2bo2bo2bo$3o3b4ob3o$6o4b4o$b3o2b2o3b5o$2o3b3ob3o2b2o!

The P4 occurs naturally too; it's surprisingly rare given how small it is (I've seen 4 occurrences out of ~2,500,000,000 objects)

---

Various other soups producing interesting oscillators (Still yet to see any spaceships/puffers apart from the c/8 glider and variations on the wickstretcher):

P17:
x = 16, y = 16, rule = B36/S1254b2o3bo2bo$2bobo2b2o3bob2o$4o2bo2bobo3bo$bobobo2bo3bobo$2bob3o2b2o$6b3ob3o$obob8ob3o$b2ob2obo3b3o$2bo2bo3bob3o$bo2bo2b2obo4bo$2o3b2o2bo3bo$3bo2b5o3b2o$8obob3o$3o4b2obobobo$o7bob6o$3obob4o2bob2o! P12 (I don't think this was previously known until I found it): x = 16, y = 16, rule = B36/S1253bob5o3bo$b4ob2o2bo2b2o$ob2ob3o5bobo$2bob4ob2obo2bo$4bo2bobobobo$6bobo2bob2o$4bo2b2o2b2ob2o$2ob4o3b3ob2o$ob3ob7ob2o$3o2bo2b3o$b2o3bob3o2b2o$b6o5bo2bo$obob3o3b2o2b2o$o2bo2bo2b2o2b2o$obobo3bob3ob2o$o6bob3o2bo!

P11:
x = 16, y = 16, rule = B36/S125bo3b3o2b2obobo$3b3ob7obo$o2b5ob4o$2b2ob6o2b3o$bo2b5o2b4o$2b3o3bobo2b2o$2b3o4bo2bobo$o5bo2bo4bo$obo3bo2b2obo$2b2ob3o4bob2o$2ob3ob2o2b2o2bo$obo3b4obo2b2o$o2b2o2b2o2b2o$2b2ob3o3bob2o$5b2o2bob5o$bo4b5ob2o! P8: x = 16, y = 16, rule = B36/S125bob3o2b2ob4o$b3ob2o2bob2obo$4o2bobob4obo$2bo3bo6b3o$b2o2bob2o3bob2o$2bo5bo2bobo$3bob2o2b3obobo$2o3b2obo2b4o$bobobo2b2o2b3o$b3obobo2b4obo$3bo3b6obo$2bobobo2bo4bo$o2bo2b2o6bo$2o9b5o$2b2obob3o3b3o$2obo2bo!

P5:
x = 16, y = 16, rule = B36/S1253ob2o3bo3b3o$b4ob3o4bobo$o3b2o3bo4b2o$3o2bo2bo3bo$obobo2b6o$3bobob2ob2obo$2bo2bo2b3o3b2o$3o4bo3b2o$ob2ob6obo$o4bo3b4o2bo$3b2o2bo2bo3bo$3b2o2b7obo$ob2obob4ob2obo$2o4b4o3bo$2o4b5obo2bo$bo4b3ob2obo! P4: x = 16, y = 16, rule = B36/S1252o2b2ob2ob2o2b2o$b2ob2o3bo2b2o$b2ob3o5bo$bobob2o4b2obo$4b2o4bo3bo$7b2ob3o$2bobo2b2o3b2o$3ob6o2b2o$2o4b2ob2o2bo$3o9b3o$b5ob2obo2bobo$b2obob2ob2o$o3b2ob2o5b2o$2bo10bo$2o3bob4o4bo$2b4o3bo3b3o!

A different p4:
x = 16, y = 16, rule = B36/S125bo2bo5bob2obo$bo3b2o2b3ob3o$obo5b2o3b3o$b3o2bob2obo$b2obob2o4bo$b2obobo4b3o$2o4bob2o2b3o$3bo3b2o2bob2o$2bobobob3o3b2o$o5b4ob3o$o2bo4b2o2bob2o$2o3bobob4ob2o$4o2bo4b2o$2b2o3bo4bobo$3b6o5bo$2bob2ob3ob3o! Rotationally-symmetric P3: x = 16, y = 16, rule = B36/S1252b6o2b2ob2o$obob3o3bobobo$4ob2o2bobo2b2o$2b3o2bob3o$bo2bo2b2obo2b3o$obo6bob5o$obo2b2ob2o2b4o$2o5bob3o$2bo4b7obo$6b3o6bo$b7obobo2bo$b2obobob2o3bobo$2b3o9b2o$o4bob2o4bobo$o3bo2b2o2bob2o$2ob3o2b4o3bo!

EDIT: a large 2x2-box oscillator (2x12, p14):
x = 16, y = 16, rule = B36/S125obob2o2b2obobobo$2obobobob3o3bo$2obob5o3bobo$3ob2ob2ob2o3bo$obo4b2obo4bo$o4b4o3b2obo$4b3ob2ob2o2bo$2bo5bo3b2o$3b3o2bobob2o$b3o5bo4bo$3obob4obobo$2o9b4o$6o2b2obob2o$b2o3b3o5bo$2bo3bobobobo$4bo2b5o3bo! Synthesis of any of these using the c/8 glider is left as an exercise for the reader... Lewis Posts: 320 Joined: March 17th, 2009, 5:26 pm Location: UK ### Re: 2x2 3 oscillators I found with apgsearch: x = 39, y = 10, rule = B36/S1253bo2bo11bo15bo$2bob2obo9b2o2bo12bo$bobo2bobo9bo2bobo7bo2b3o$obo4bobo6b2o4b3o6bobo$bo6bo20b3ob3o$bo6bo23b3ob3o$obo4bobo5b3o4b2o10bobo$bobo2bobo7bobo2bo9b3o2bo$2bob2obo10bo2b2o10bo$3bo2bo14bo11bo!
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

A for awesome

Posts: 1860
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: 2x2

twinb7 wrote:Dunno if anyone's discovered it already, but it took me all morning and I discovered that this period 14 oscillator could be used as a glider eater:

[[rle]]

This p6 can eat a glider:
x = 11, y = 10, rule = B36/S125bo$2bobo2$3o3$5bo4bo$5bo4bo$5bo4bo$6bo2bo!
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

A for awesome

Posts: 1860
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: 2x2

A weird p4:
x = 7, y = 8, rule = B36/S1252b2o2$6bo$4bobo$obobo$obob2o$2bo$2bo!

Disclaimer: Not my discovery; I encountered it in Catagolue.
Edit: A stable domino eater:
x = 8, y = 6, rule = B36/S1256b2o$3bo$2bo2bo$2bob2o$obo$obo! Edit 2: Another catalysis method for the same still life: x = 23, y = 9, rule = B36/S12510bo11bo$9bo11bo2$6b3o9b3o$3bo$2bo2bo$2bob2o$obo$obo!

Edit 3: Oh, wait... a carrier also works in both situations.
Last edited by A for awesome on March 26th, 2015, 10:33 am, edited 1 time in total.
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

A for awesome

Posts: 1860
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: 2x2

New P6 oscillator:
x = 21, y = 21, rule = B36/S12513b3o$16bo3$bo2bo11bo$o4bo7b3o$o4bo3b2o$o4bo3bo$10bo$10bo2b2o$6bob2ob2obo$6b2o2bo$10bo$11bo3bo4bo$10b2o3bo4bo$5b3o7bo4bo$4bo11bo2bo3$4bo$5b3o!

Lewis

Posts: 320
Joined: March 17th, 2009, 5:26 pm
Location: UK

### Re: 2x2

P12 oscillator hassling a still 5-cell object:
x = 20, y = 11, rule = B36/S12511b2ob2o$10bo5bo2$bo6bo9bo$o2bo3bobobo3bobobo$2o$3bo3bobobo3bobobo$8bo9bo2$10bo5bo$11b2ob2o!
Last edited by Lewis on May 23rd, 2015, 12:29 pm, edited 1 time in total.

Lewis

Posts: 320
Joined: March 17th, 2009, 5:26 pm
Location: UK

### Re: 2x2

Lewis wrote:P12 oscillator hassling a still 4-cell object:
x = 20, y = 11, rule = B36/S12511b2ob2o$10bo5bo2$bo6bo9bo$o2bo3bobobo3bobobo$2o$3bo3bobobo3bobobo$8bo9bo2$10bo5bo$11b2ob2o!

4=5?
There are 10 types of people in the world: those who understand binary and those who don't.

Alexey_Nigin

Posts: 323
Joined: August 4th, 2014, 12:33 pm
Location: Ann Arbor, MI

### Re: 2x2

Alexey_Nigin wrote:4=5?

Oops, typo. I'll fix it, thanks for pointing it out.

Also, reduction of a P24 oscillator:
x = 15, y = 9, rule = B36/S1252o6bo$o6bobo$b2o5b3o4$4b3o5b2o$5bobo6bo$6bo6b2o! Lewis Posts: 320 Joined: March 17th, 2009, 5:26 pm Location: UK ### Re: 2x2 Forward and backward rakes and a small wick-stretcher exist. Does the wick-stretcher have a simple synthesis? Is an MMS breeder likely? Kiran Linsuain Kiran Posts: 284 Joined: March 4th, 2015, 6:48 pm ### Re: 2x2 Kiran wrote:Does the wick-stretcher have a simple synthesis? As far as I know, there hasn't really been much investigation into synthesis of anything in this rule. With a bit of trial and error I found a few syntheses a while back of common natural objects, eg. here's the P26 from 3 'gliders' (probably the rarest or most interesting objects I could find a synthesis for): x = 14, y = 16, rule = B36/S1253bo$o2b2o$b3o$2bo2$9bo$9bo2bo$9bobo2$11bo3$10bo$9bob3o$9b2ob2o$9b2o!

I think a purpose-built script would be needed to find a synthesis for the wick-stretcher though, because the size and period of the glider means there's probably a lot more distinct 2- (or 3 etc.)-glider collisions than in regular Life. Actually, the increased number of possible collisions might mean that if the wickstretcher has a synthesis, it's likely to require a lower amount of gliders than similar syntheses in Life?

On an unrelated note, here's a reaction in which a glider turns a second glider into a domino, maybe could be useful for something:
x = 8, y = 10, rule = B36/S1253bo$o2b2o$b3o$2bo3$6bo$3b3obo$3b2ob2o$6b2o! Lewis Posts: 320 Joined: March 17th, 2009, 5:26 pm Location: UK ### Re: 2x2 Has anybody got a synthesis of a "big blinker"? I would be especially pleased if you synthesized it from two perpendicular gliders. There are 10 types of people in the world: those who understand binary and those who don't. Alexey_Nigin Posts: 323 Joined: August 4th, 2014, 12:33 pm Location: Ann Arbor, MI ### Re: 2x2 Will this do? x = 10, y = 9, rule = B36/S1255b2o$8b2o$5bo$6bobo$bo2$bobo$o2bo$3bo!

Haven't got one with two perpendicular gliders, but I haven't done an exhaustive search so there could be one out there.

Lewis

Posts: 320
Joined: March 17th, 2009, 5:26 pm
Location: UK

### Re: 2x2

c/5 orthogonal ship (the first known? I can't find any listed in the usual places):
x = 15, y = 46, rule = B36/S1256bobo3$5b2ob2o$7bo$4bo5bo$5bobobo$7bo$6bobo$5bo3bo2$3b9o$6bobo$6bobo$6bobo$6bobo2$3b2obobob2o$4b2o3b2o$b3o7b3o$bo3bo3bo3bo$2ob2obobob2ob2o$o2bo7bo2bo$2bo9bo$2b2o2bobo2b2o2$3b3o3b3o$3bobo3bobo$3bo7bo$b3o2bobo2b3o$b2ob3ob3ob2o$2bob2obob2obo$3bobobobobo$5bo3bo$5b2ob2o$3bobobobobo$7bo$3bo2b3o2bo$2b2ob5ob2o$3b2ob3ob2o$3b2obobob2o$b4o5b4o$obo9bobo$b2obo5bob2o$4o7b4o$bo11bo!

Lewis

Posts: 320
Joined: March 17th, 2009, 5:26 pm
Location: UK

### Re: 2x2

On, the slow salvos thread, Kiran wrote:The biggest problem is small enough envelope to use p60 rakes since my goal is a breeder.
If a period duplicating reaction is found high period rakes would solve the problem.
I would rather use Paul Tooke's version of gencols (link) to find collisions of two or more 2x2 crawlers.

Here are all two-crawler collisions:
perpendicular:
x = 417, y = 2910, rule = B36/S1253o108b3o96b3o87b3o109b3o2$2bobo104bobo96bobo91bobo105bobo$bo9b3o86b3o9bo98bo89bo98b3o10bo$311b3o$9bobo90bobo95b3o199bobo$12bo88bo207bobo89bo$202bobo107bo$201bo92$3o97b3o108b3o99b3o84b3o10b3o$300b3o$2bobo97bobo104bobo99bobo88bobo6bobo$bo99bo10b3o97bo89bobo9bo86bo12bo$200b3o98bo$10b3o97bobo$113bo88bobo$8bobo190bo$11bo92$3o106b3o88b3o97b3o97b3o$13b3o$2bobo102bobo92bobo97bobo97bobo$bo9bobo96bo90bo99bo99bo$14bo2$100b3o106b3o96bo98bo$307b3o96b3o$102bobo102bobo96b2o97b2o$101bo108bo96bo98bo$308bo98bo90$11bo88b3o110bo99bo86b3o$10b3o199b3o97b3o$9b2o91bobo106b2o98b2o89bobo$10bo90bo10bo99bo87b3o9bo88bo$11bo99b3o86b3o10bo99bo97bo$110b2o190bobo105b3o$3o108bo90bobo96bo107b2o$112bo88bo208bo$2bobo406bo$bo91$13bo99bo86b3o10bo86b3o97b3o$12b3o85b3o9b3o97b3o98bo$3o8b2o98b2o89bobo6b2o89bobo7b3o87bobo8bo$12bo89bobo7bo88bo10bo88bo9b2o88bo10b3o$2bobo8bo87bo11bo99bo98bo98b2o$bo311bo98bo$413bo94$12bo101bo99bo99bo85b3o11bo$11b3o99b3o97b3o84b3o10b3o97b3o$10b2o100b2o86b3o9b2o98b2o88bobo7b2o$11bo88b3o10bo99bo88bobo8bo87bo11bo$12bo101bo87bobo9bo86bo12bo99bo$3o99bobo96bo$101bo$2bobo$bo92$3o97b3o97b3o107bo98bobo$14bo294b3o96bo2bo$2bobo8b3o86bobo97bobo103b2o$bo10b2o87bo99bo107bo98bobo$13bo296bo99bo$14bo94bo100bo$108b3o98b3o$107b2o99b2o90b3o97b3o$108bo100bo$109bo100bo91bobo97bobo$301bo99bo90$8bobo100bobo96bobo99bobo97bobo$7bo2bo99bo2bo95bo2bo98bo2bo96bo2bo2$7bobo100bobo96bobo99bobo86b3o8bobo$9bo102bo98bo88b3o10bo99bo$100b3o299bobo$200b3o99bobo96bo$3o99bobo196bo$101bo100bobo$2bobo196bo$bo90$12bobo97bobo85b3o9bobo85b3o97b3o$11bo2bo85b3o8bo2bo96bo2bo97bobo$3o199bobo97bobo6bo2bo87bobo7bobo$11bobo88bobo6bobo87bo9bobo87bo99bo9bo2bo$2bobo8bo87bo11bo99bo97bobo$bo311bo97bobo$413bo94$13bobo97bobo97bobo97bobo84b3o10bobo$12bo2bo96bo2bo96bo2bo84b3o9bo2bo96bo2bo$200b3o199bobo$12bobo85b3o9bobo97bobo87bobo7bobo86bo10bobo$3o11bo99bo87bobo9bo86bo12bo99bo$102bobo96bo$2bobo96bo$bo93$3o97b3o109bobo85b3o97b3o$13bobo195bo2bo$2bobo7bo2bo86bobo8bobo186bobo97bobo$bo99bo10bo2bo95bobo87bo10bobo86bo$12bobo198bo97bo2bo$14bo97bobo85b3o206bobo$114bo196bobo94bo2bo$202bobo108bo$201bo206bobo$410bo91$10b3o98b3o95b3o96b3o102b3o$9bob2o97bob2o94bob2o95bob2o101bob2o$10bo100bo97bo98bo104bo$10b2o99b2o96b2o97b2o90b3o10b2o$10b2o99b2o96b2o97b2o103b2o$100b3o299bobo$3o398bo$102bobo95b3o97b3o$2bobo96bo$bo200bobo97bobo$201bo99bo90$13b3o97b3o84b3o10b3o84b3o109b3o$12bob2o84b3o9bob2o96bob2o97b3o95bob2o$3o10bo99bo88bobo8bo88bobo7bob2o96bo$13b2o87bobo8b2o86bo11b2o86bo11bo98b2o$2bobo8b2o86bo11b2o98b2o98b2o85b3o9b2o$bo311b2o$402bobo$401bo93$12b3o97b3o97b3o85b3o9b3o85b3o$11bob2o96bob2o85b3o8bob2o96bob2o97b3o$12bo87b3o9bo99bo89bobo7bo89bobo6bob2o$3o9b2o98b2o88bobo7b2o87bo10b2o87bo10bo$12b2o88bobo7b2o87bo10b2o98b2o98b2o$2bobo96bo310b2o$bo94$3o97b3o97b3o97b3o97b3o2$2bobo7b3o87bobo97bobo97bobo97bobo8b3o$bo9bob2o86bo99bo99bo10b3o86bo10bob2o$12bo98b3o197bob2o98bo$12b2o96bob2o96b3o99bo100b2o$12b2o97bo97bob2o99b2o99b2o$111b2o97bo101b2o$111b2o97b2o$210b2o91$13b3o96b3o96b3o99bo99bo$12bob2o95bob2o95bob2o$13bo98bo98bo99bobo97bobo$13b2o97b2o97b2o98bo2bo96bo2bo$3o10b2o97b2o97b2o98bo88b3o8bo$100b3o197b3o$2bobo195b3o199bobo$bo100bobo197bobo96bo$101bo100bobo96bo$201bo91$13bo99bo99bo86b3o10bo86b3o$200b3o210bo$11bobo86b3o8bobo97bobo88bobo6bobo88bobo$3o8bo2bo96bo2bo87bobo6bo2bo86bo9bo2bo86bo9bobo$11bo90bobo6bo89bo9bo99bo99bo2bo$2bobo96bo309bo$bo94$3o97b3o97b3o111bo99bo2$2bobo97bobo97bobo8bo98bobo97bobo$bo10bo88bo99bo110bo2bo84b3o9bo2bo$111bo99bobo86b3o9bo99bo$10bobo198bo2bo187bobo$10bo2bo95bobo99bo90bobo96bo$10bo98bo2bo188bo$109bo92$14bo99bo85b3o11bo85b3o111bo$100b3o211bo$3o9bobo97bobo87bobo7bobo87bobo107bobo$12bo2bo86bobo7bo2bo85bo10bo2bo85bo10bobo97bo2bo$2bobo7bo88bo10bo99bo99bo2bo96bo$bo310bo87b3o2$402bobo$401bo92$13bo98bo99bo99bo87b3o$211b3o97b3o$11bobo96bobo97b2o2bo95b2o2bo87bobo$11bo2bo95bo2bo97bo88b3o8bo89bo$11bo98bo89b3o208bo$302bobo105b3o$3o199bobo96bo107b2o2bo$100b3o98bo208bo$2bobo$bo100bobo$101bo90$3o97b3o97b3o110bo99bo$312b3o97b3o$2bobo97bobo97bobo106b2o2bo84b3o8b2o2bo$bo99bo10bo88bo98b3o9bo99bo$111b3o288bobo$10bo99b2o2bo187bobo96bo$9b3o99bo97bo91bo$8b2o2bo195b3o$9bo197b2o2bo$208bo91$13bo86b3o10bo86b3o97b3o110bo$3o9b3o97b3o98bo198b3o$11b2o2bo86bobo6b2o2bo86bobo7b3o87bobo8bo97b2o2bo$2bobo7bo88bo10bo88bo9b2o2bo85bo10b3o97bo$bo210bo98b2o2bo84b3o$312bo$402bobo$401bo93$12bo98bo88b3o97b3o97b3o$11b3o96b3o$10b2o2bo94b2o2bo88bobo97bobo97bobo$11bo98bo90bo99bo99bo$311bobo$3o206bobo98bo$100b3o105bo104b2o93bobo$2bobo206b2o97b2o95bo$bo100bobo103b2o200b2o$101bo305b2o91$12bobo97bobo97bobo85b3o9bobo85b3o$11bo99bo88b3o8bo99bo100bobo$14b2o84b3o11b2o98b2o86bobo9b2o86bobo6bo$3o8b2o98b2o89bobo6b2o88bo9b2o88bo12b2o$102bobo96bo209b2o$2bobo96bo$bo94$3o97b3o110bobo97bobo84b3o10bobo$212bo87b3o9bo99bo$2bobo7bobo87bobo95b3o12b2o98b2o85bobo10b2o$bo9bo89bo10bobo97b2o88bobo7b2o87bo10b2o$14b2o95bo90bobo96bo$11b2o101b2o85bo$111b2o94$3o106bobo100bobo85b3o97b3o$13bobo92bo102bo$2bobo7bo98b2o101b2o86bobo97bobo$bo13b2o91b2o101b2o88bo99bo$12b2o186b3o2$100b3o99bobo102bo100bo$201bo104bob3o96bob3o$102bobo201b2ob2o96b2ob2o$101bo204b2o99b2o91$7bo98bo105bo99bo87b3o$6bob3o94bob3o101bob3o95bob3o$6b2ob2o94b2ob2o101b2ob2o84b3o8b2ob2o86bobo$6b2o97b2o93b3o8b2o98b2o88bo$302bobo$202bobo96bo108bo$201bo207bob3o$3o97b3o306b2ob2o$409b2o$2bobo97bobo$bo99bo90$12bo87b3o9bo87b3o97b3o97b3o$3o8bob3o95bob3o96bo$11b2ob2o86bobo6b2ob2o86bobo6bob3o86bobo7bo89bobo$2bobo6b2o88bo9b2o88bo9b2ob2o85bo9bob3o85bo10bo$bo209b2o98b2ob2o95bob3o$311b2o98b2ob2o$411b2o94$11bo98bo89b3o97b3o110bo$10bob3o94bob3o298bob3o$10b2ob2o94b2ob2o88bobo97bobo8bo86b3o9b2ob2o$10b2o97b2o90bo99bo10bob3o95b2o$3o208bo100b2ob2o85bobo$100b3o107bob3o97b2o87bo$2bobo205b2ob2o$bo100bobo105b2o$101bo92$13bo86b3o10bo94bo100bo$3o9bob3o95bob3o90bob3o96bob3o$12b2ob2o85bobo7b2ob2o90b2ob2o96b2ob2o$2bobo7b2o87bo10b2o93b2o99b2o$bo2$200b3o97b3o2$202bobo97bobo$201bo99bo! and antiparallel: x = 417, y = 5717, rule = 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10bob2o96b3o99bo98bob2o96b3o$11bo97bob2o99b2o98bo97bob2o$11b2o97bo101b2o98b2o97bo$11b2o97b2o200b2o97b2o$110b2o299b2o86$bo99bo99bo99bo99bo$2bobo97bobo97bobo97bobo97bobo2$3o97b3o97b3o97b3o97b3o4$113b3o$112bob2o97b3o$113bo98bob2o$113b2o98bo$10b3o100b2o98b2o$9bob2o200b2o94b3o94b3o$10bo297bob2o93bob2o$10b2o297bo96bo$10b2o297b2o95b2o$309b2o95b2o84$bo99bo99bo99bo99bo$2bobo97bobo97bobo97bobo97bobo2$3o97b3o97b3o97b3o97b3o7$412b3o$411bob2o$8b3o94b3o99b3o94b3o105bo$7bob2o93bob2o98bob2o93bob2o105b2o$8bo96bo101bo96bo107b2o$8b2o95b2o100b2o95b2o$8b2o95b2o100b2o95b2o84$bo99bo99bo99bo99bo$2bobo97bobo97bobo97bobo97bobo2$3o97b3o97b3o97b3o97b3o6$113b3o$112bob2o191bo96bo$11b3o99bo$10bob2o99b2o95b3o92bobo94bobo$11bo101b2o94bob2o92bo2bo93bo2bo$11b2o197bo94bo96bo$11b2o197b2o$210b2o84$bo99bo99bo99bo99bo$2bobo97bobo97bobo8bo88bobo97bobo$313bo$3o97b3o97b3o8bobo86b3o97b3o10bo$211bo2bo96bobo$211bo99bo2bo96bobo$311bo99bo2bo$411bo3$9bo96bo2$7bobo94bobo$7bo2bo93bo2bo$7bo96bo86$bo99bo99bo99bo99bo$2bobo97bobo97bobo97bobo97bobo2$3o97b3o97b3o97b3o97b3o$13bo$313bo$11bobo399bo$11bo2bo296bobo$11bo299bo2bo96bobo$311bo99bo2bo$108bo96bo205bo2$106bobo94bobo$106bo2bo93bo2bo$106bo96bo86$bo99bo99bo99bo99bo$2bobo97bobo97bobo97bobo97bobo2$3o97b3o97b3o97b3o97b3o5$13bo198bo$312bo98bo$11bobo96bo99bobo$11bo2bo195bo2bo96bobo96bobo$11bo96bobo99bo99bo2bo95bo2bo$108bo2bo198bo98bo$108bo86$bo99bo99bo99bo99bo$2bobo97bobo97bobo97bobo97bobo$414bo$3o97b3o97b3o97b3o97b3o$412bobo$412bo2bo$412bo$113bo2$111bobo$11bo99bo2bo$111bo98bo96bo$9bobo$9bo2bo195bobo94bobo$9bo198bo2bo93bo2bo$208bo96bo85$bo99bo99bo99bo99bo$2bobo97bobo97bobo97bobo97bobo2$3o11bo85b3o97b3o97b3o97b3o$114bo$12bobo199bo$12bo2bo96bobo$12bo99bo2bo96bobo$112bo99bo2bo$212bo2$309bo96bo2$307bobo94bobo$307bo2bo93bo2bo$307bo96bo85$bo99bo99bo99bo99bo$2bobo97bobo97bobo97bobo97bobo2$3o97b3o97b3o97b3o97b3o3$14bo$114bo$12bobo$12bo2bo96bobo298bo$12bo99bo2bo$112bo95bo96bo105bobo$411bo2bo$206bobo94bobo105bo$206bo2bo93bo2bo$206bo96bo85$bo99bo99bo99bo99bo$2bobo97bobo97bobo97bobo97bobo2$3o97b3o97b3o97b3o97b3o3$312bo$311b3o98bo$114bo195b2o2bo96b3o$311bo98b2o2bo$12bo99bobo296bo$112bo2bo95bo$10bobo99bo$10bo2bo195bobo$10bo198bo2bo$209bo85$bo99bo99bo99bo99bo$2bobo97bobo97bobo97bobo97bobo2$3o97b3o97b3o97b3o97b3o8$6bo96bo204bo96bo$5b3o94b3o101bo100b3o94b3o$4b2o2bo92b2o2bo99b3o98b2o2bo92b2o2bo$5bo96bo101b2o2bo98bo96bo$205bo85$bo99bo99bo99bo99bo$2bobo97bobo97bobo97bobo97bobo2$3o97b3o97b3o97b3o97b3o8$107bo96bo$5bo100b3o94b3o101bo96bo$4b3o98b2o2bo92b2o2bo99b3o94b3o$3b2o2bo98bo96bo101b2o2bo92b2o2bo$4bo301bo96bo85$bo99bo99bo99bo99bo$2bobo97bobo97bobo97bobo97bobo2$3o97b3o97b3o97b3o97b3o5$312bo$111bo199b3o98bo$110b3o97bo99b2o2bo96b3o$9bo99b2o2bo95b3o99bo98b2o2bo$8b3o99bo97b2o2bo198bo$7b2o2bo197bo$8bo86$bo99bo99bo99bo99bo$2bobo97bobo97bobo97bobo97bobo2$3o97b3o97b3o97b3o97b3o10bo$412b3o$411b2o2bo$412bo4$11bo$10b3o97bo$9b2o2bo95b3o97bo98bo$10bo97b2o2bo95b3o96b3o$109bo97b2o2bo94b2o2bo$208bo98bo85$bo99bo99bo99bo99bo$2bobo97bobo97bobo97bobo97bobo2$3o97b3o97b3o97b3o97b3o$13bo$12b3o98bo$11b2o2bo96b3o98bo$12bo98b2o2bo96b3o98bo$112bo98b2o2bo96b3o98bo$212bo98b2o2bo96b3o$312bo98b2o2bo$412bo89$bo99bo99bo99bo99bo$2bobo97bobo97bobo97bobo97bobo2$3o97b3o97b3o97b3o97b3o6$213bo$12bo199b3o$11b3o97bo99b2o2bo189bobo$10b2o2bo95b3o99bo97bo93bo$11bo97b2o2bo195b3o95b2o$110bo197b2o2bo91b2o$309bo85$bo99bo99bo99bo99bo$2bobo97bobo97bobo97bobo97bobo2$3o97b3o97b3o97b3o97b3o8$2bobo102bobo94bobo94bobo102bobo$bo104bo96bo96bo104bo$4b2o103b2o95b2o95b2o103b2o$b2o103b2o95b2o95b2o103b2o86$bo99bo99bo99bo99bo$2bobo97bobo97bobo97bobo97bobo2$3o97b3o97b3o97b3o97b3o6$310bobo$309bo$3bobo102bobo201b2o$2bo104bo97bobo101b2o96bobo$5b2o103b2o92bo201bo$2b2o103b2o98b2o200b2o$204b2o200b2o85$bo99bo99bo99bo99bo$2bobo97bobo97bobo97bobo97bobo2$3o97b3o97b3o97b3o97b3o5$411bobo$410bo$109bobo301b2o$108bo301b2o$4bobo104b2o93bobo94bobo$3bo104b2o95bo96bo$6b2o200b2o95b2o$3b2o200b2o95b2o85$bo99bo99bo99bo99bo$2bobo97bobo97bobo97bobo97bobo$412bobo$3o97b3o97b3o97b3o97b3o8bo$414b2o$411b2o4$11bobo$10bo199bobo$13b2o194bo99bobo$10b2o96bobo101b2o94bo$107bo101b2o100b2o$110b2o196b2o$107b2o85$bo99bo99bo99bo99bo$2bobo97bobo97bobo97bobo97bobo2$3o9bobo85b3o97b3o97b3o97b3o$11bo100bobo$14b2o95bo100bobo$11b2o101b2o95bo100bobo$111b2o101b2o95bo100bobo$211b2o101b2o95bo$311b2o101b2o$411b2o90$bo99bo99bo99bo99bo$2bobo97bobo97bobo97bobo97bobo2$3o97b3o97b3o97b3o97b3o$213bobo$212bo100bobo$215b2o95bo100bobo$212b2o101b2o95bo$12bobo297b2o101b2o$11bo400b2o$14b2o95bobo$11b2o97bo$113b2o$110b2o87$bo99bo99bo99bo99bo$2bobo97bobo97bobo97bobo97bobo2$3o97b3o97b3o97b3o97b3o4$13bobo$12bo$15b2o195bobo$12b2o197bo$110bobo101b2o195bobo$109bo101b2o96bobo98bo$112b2o194bo104b2o$109b2o200b2o97b2o$308b2o85$bo99bo99bo99bo99bo$2bobo97bobo97bobo97bobo97bobo2$3o97b3o97b3o97b3o97b3o6$210bo$12bobo194bob3o95bo$11bo96bo100b2ob2o94bob3o$14b2o91bob3o97b2o97b2ob2o92bo$11b2o94b2ob2o196b2o94bob3o$107b2o295b2ob2o$404b2o85$bo99bo99bo99bo99bo$2bobo97bobo97bobo97bobo97bobo2$3o97b3o97b3o97b3o97b3o9$2bo104bo96bo101bo96bo$bob3o100bob3o92bob3o97bob3o92bob3o$b2ob2o100b2ob2o92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Some of these two-glider collisions could be trivially perturbed into a wickstretcher, like this: x = 37, y = 16, rule = B36/S12529bo2$29bobo$28bo2bo$31bo4$11b3o20b3o2$9bobo20bobo$12bo22bo$3o20b3o2$2bobo20bobo$bo22bo!

Good luck.
Best wishes to you, Scorbie

Scorbie

Posts: 1380
Joined: December 7th, 2013, 1:05 am

### Re: 2x2

I accidentally found 3 crawler syntheses of various oscs so deliberately searched for three crawler collisions:
Here are the results from *Totally non-exhaustive* three-crawler collisions: filtered at 500 ticks, p5+ oscillators (with some useless things):
x = 425, y = 16323, rule = 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I haven't gone thru all the results but here are some of the interesting ones:
x = 722, y = 202, rule = B36/S12527bo2$25bobo$25bo2bo$13b3o9bo2$15bobo$14bo32$449bo$3bo446bobo53bo$3bobo501bo$92bo154b2o199b3o56b2o$2bo2bo87bo150b2o259b3o$2bobo41b2o45b2o40bo54bo57bo257bo192b2o$46b2o43b3o42bobo52bo53bobo389bo61b2o$47bo44bo98b2o441bo2b2o61bo$45b2obo85b3o52b3o443b3o60b2obo$45b3o142bo445bo61b3o2$441b3o2$61b3o379bobo$141b3o102b3o193bo$14b3o42bobo171b3o$50b3o9bo44b3o33bobo98bobo204b3o187b3o$12bobo127bo92bobo9bo254b3o10b3o$3b3o9bo36bobo50bobo44b3o29b3o47bo214bobo191bobo$51bo43b3o10bo343bo51bobo6bobo126bo71b3o$5bobo142bobo33bobo314bo12bo$4bo92bobo53bo31bo465b3o58bobo$96bo605b3o10bo$194b3o452bobo$652bo51bobo$192bobo508bo$195bo14$443bo$443bobo2$442bo2bo$442bobo$3bo$4bo$4b2o$2b3o98b2o$3bo38b2o56b2o$42b2o60bo29b2o$43bo57bobo30b2o$41b2obo90bo$41b3o89b2obo306b3o10b3o$133b3o$12b3o430bobo6bobo$444bo12bo$10bobo45b3o$3o10bo$56bobo$2bobo54bo48b3o$bo93b3o$48b3o55bobo$97bobo9bo26b3o$50bobo43bo52b3o$49bo88bobo$137bo9bobo$150bo30$10bo86bo$7bo2b2o86bobo$8b3o37bo$9bo35bo2bo47b3o$46bobo2$46bo$138bo$135bo2b2o$19b3o114b3o$137bo$17bobo123b3o$20bo135b3o$145bobo$9b3o132bo9bobo$63b3o31b3o57bo$11bobo$10bo50bobo35bobo$51b3o10bo33bo2$53bobo51b3o$52bo$105bobo$108bo5$646b2o$646b2o54bo$647bo54bobo$645b2obo$645b3o53bo2bo$701bobo$719b3o2$717bobo$707b3o10bo2$709bobo$708bo$659b3o2$657bobo$97b2o548b3o10bo$6bo87b2o$3bo2bo50bo40bo550bobo$4bobo47bo2bo37bobo550bo$55bobo$4bo$55bo4$15b3o2$13bobo$16bo41b3o2$5b3o48bobo36b3o$46b3o10bo$7bobo87bobo$6bo41bobo45bo10b3o$47bo$105bobo$108bo! Best wishes to you, Scorbie Scorbie Posts: 1380 Joined: December 7th, 2013, 1:05 am ### Re: 2x2 Scorbie wrote:Some of these two-glider collisions could be trivially perturbed into a wickstretcher, like this: x = 37, y = 16, rule = B36/S12529bo2$29bobo$28bo2bo$31bo4$11b3o20b3o2$9bobo20bobo$12bo22bo$3o20b3o2$2bobo20bobo$bo22bo!

Good luck.

I can't imagine any way you can use the existing rakes to produce that three crawler reaction. However, there is no shortage of reactions which produce the wickstretcher. Here is a 4 crawler incremental synthesis:
x = 130, y = 11, rule = B36/S125126bo$126bo2bo$8b2o116bobo$8b2ob2o53bo$bo6bob3o50bo2b2o60bo$2bo6bo54b3o26bo19bo$2b2o61bo27b2o18b2o$3o91b2o18b2o$bo35b2o28b2o26bo19bo2$37b2o28b2o! And here is an MMS breeder which utilises that reaction: x = 982, y = 427, rule = 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Here are a few other reactions I came across: one time reflectors: x = 51, y = 50, rule = B36/S125$3bo$o2bo$bobo2$bo10$4bo$5bo7b2o15$3bo29bo$o2bo26bo2bo$bobo27bobo2$bo29bo6$17bo$16bo24bo7bo$7bo5bo27bo8bo$6bo5bo4$42bo$41bo! P1 seeds for a few of the higher period oscillators (p10, longer p10, p22 and p26): x = 114, y = 26, rule = B36/S1253bo29bo29bo39bo$o2bo26bo2bo26bo2bo36bo2bo$bobo27bobo27bobo37bobo2$bo29bo29bo39bo4$80bo$79bo2$112bo$76bo36bo$19bo55bo4bo$18bo18bo42bo$37bo70bo$109bo$41bo$40bo$18b2o$23b2o4$26bo$25bo!

Move reactions for the p26 and domino:
x = 38, y = 17, rule = B36/S1253bo29bo$o2bo26bo2bo$bobo27bobo2$bo29bo8$13bo23bo$12bobo22bo$12b2o$11bobo$12bo!

A third(?) crawler eater - using the p26:
x = 10, y = 12, rule = B36/S1253bo$o2bo$bobo2$bo3$8bo$7bobo$7b2o$6bobo$7bo!

Edited to correct terminology
Here's another P1 seed which produces the alternative form of the common p3. It's particularly interesting because a checker catalyses the reaction.
x = 16, y = 15, rule = B36/S1253bo$o2bo$bobo2$bo4$5bo$5bo$10bo$9bo2$4bo9bo\$4bo10bo!
The latest version of the 5S Project contains over 196,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron

Posts: 1209
Joined: August 9th, 2013, 12:45 am

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