For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

Saka wrote:Has this smiley interaction been discovered?

It was mentioned somewhere in the middle of Gustavo's Patterns.
I type all my RLE's by hand. Golly is for wimps.

Majestas32

Posts: 318
Joined: November 20th, 2017, 12:22 pm
Location: 'Merica

2718281828 wrote:A new minimal period 48 oscillator with 55 cells:
x = 19, y = 22, rule = B3/S235b2o$5bo$7bo2$5bobo$4b2o$b2ob2o2$bo4bo$o5bo$2o3bo$2o$10bo3bo$9bobobobo$10b2ob2o2$7bo9bo$6bobo7bobo$6bo3b2ob2o3bo$7bo3bobo3bo$8b2obobob2o$10bo3bo!

Unix can interact with Rich's p16 to form a nontrivial 52-cell p48 oscillator:
x = 21, y = 19, rule = B3/S234bo3bo$3bobobobo$4b2ob2o2$bo9bo$obo7bobo$o3b2ob2o3bo$bo3bobo3bo$2b2obobob2o$4bo3bo2$17b2o$13b2o2b2o$13b2o2bob2o$18b3o3$18b2o$18b2o!

I was not able to find a combination where the minimal phase of unix and the minimal phase of Rich's p16 occurred at the same time.

2718281828 wrote:I just noticed that http://www.conwaylife.com/wiki/Talk:Oscillator lists some of the recent 'founds' like the p135

Some of these are now out of date. I posted here about the smallest known oscillators of various periods (in response to a post by muzik). There are three updates and one correction to what I wrote there:
• The smallest known p48 is unix on Rich's p16.
• The smallest known p108 now uses Tanner's new T-nose:
x = 33, y = 33, rule = B3/S2315b2o$15b2o5$13b2o$14b2o$10bo4bo$10bo3bo$10b2o7b3o$19bo2$2o21bo$2o5b2o11bob2o$6b2obo11b2o5b2o$6bo21b2o2$10bo$8b3o7b2o$15bo3bo8bo$14bo4bo8bo$14b2o11b3o$15b2o2$28b2o$25b2ob3o$24bobo$13b2o9bo4b4o$13b2o10bo$26bo$23b3o$23bo! • The smallest known p130 is now the p130 engine with stable supports: x = 46, y = 27, rule = B3/S235b2o32b2o$5b2o32b2o3$24b2o$2o4b2o18bo11b2o4b2o$2o3bobo16b3o10bo2bo3b2o$5b3o13bo16bobo$18b3ob2o15bo$18bo3b2o$3bo20bo17bo$2bobo14bo3bo17bobo$2b2o16b4o18b2o2$2b2o16b4o18b2o$2bobo14bo3bo17bobo$3bo20bo17bo$18bo3b2o$18b3ob2o15bo$5b3o13bo16bobo$2o3bobo16b3o10bo2bo3b2o$2o4b2o18bo11b2o4b2o$24b2o3$5b2o32b2o$5b2o32b2o!
• Correction: I couldn't find any way to combine a mazing or mold with a p46 shuttle to get a nontrivial p92. The best I could manage was this 50-cell oscillator:
x = 41, y = 12, rule = B3/S2322b2o$12b2o7bobo15b2o$12b2o7bo17b2o$7bo13b3o$5b2obo$2o2b2o$o2bobobo$b2o18b3o$2bo2bo15bo17b2o$b2o18bobo15b2o$4bobo15b2o$5b2o! -Matthias Merzenich Sokwe Moderator Posts: 1197 Joined: July 9th, 2009, 2:44 pm ### Re: Oscillator Discussion Thread Reduced p92: x = 41, y = 12, rule = B3/S2322b2o$12b2o7bobo$12b2o7bo$7bo13b3o$5b2obo$2o2b2o$o2bobobo$b2o18b3o$2bo2bo15bo17b2o$b2o18bobo15b2o$4bobo15b2o$5b2o!
One big dirty Oro. Yeeeeeeeeee...

gameoflifemaniac

Posts: 543
Joined: January 22nd, 2017, 11:17 am
Location: Poland

gameoflifemaniac wrote:Reduced p92:
Code: Select all
x = 41, y = 12, rule = B3/S2322b2o$12b2o7bobo$12b2o7bo$7bo13b3o$5b2obo$2o2b2o$o2bobobo$b2o18b3o$2bo2bo15bo17b2o$b2o18bobo15b2o$4bobo15b2o$5b2o!#C [[ AUTOSTART STOP 92 THUMBNAIL ]] Unfortunately that's not reduced, in the sense of the actual p92 oscillator having a smaller minimum population. It's a smaller-population predecessor of a p92 oscillator, but if we started collecting those we'd have to start taking one cell out of every four in every block, and so on and so forth. dvgrn Moderator Posts: 4344 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI ### Re: Oscillator Discussion Thread By the way, can someone post a list of the smallest oscillators with a specific period in an attachment? https://www.youtube.com/watch?v=q6EoRBvdVPQ One big dirty Oro. Yeeeeeeeeee... gameoflifemaniac Posts: 543 Joined: January 22nd, 2017, 11:17 am Location: Poland ### Re: Oscillator Discussion Thread (Originally posted to Useless Discoveries) It comes as no surprise that two 26-bit P40s can share the same block. As expected, if the phase separation between the two oscillators is 5-20, this works seamlessly, and with 3 or 4, it also works because the rear half of the block reforms as the front half eats. This also fails as expected with phase separations of 0 and 2. However, what is unexpected is a phase separation of 1 results in a hassler that mutates the block to non-trivially attack the original oscillator, and produces a different spark, but reforms the block and leaves the oscillator unharmed: x = 32, y = 26, rule = B3/S23oo8boo$oo7bo$12bo$8boobo$8boo5$7boo$5boboo$4bo$7bo7boo8bo$5boo8boo8boo$23b3o$23b3o$23b3o5$21b3o$21b3o$21b3o$20boo8boo$21bo8boo!

(When the block is shared along a diagonal axis of symmetry, phase separations of 11 and 13-20 work.)

EDIT: For completeness, a mostly vanilla 21-glider synthesis (of the 50-bit minimum phase):
x = 160, y = 78, rule = B3/S2393bo$91bobo$bobo88boo$bboo102bo$bbo103bobo$106boo$48boo38boo38boo$48boo38boo38boo7bo$bbo132bobbo$obo132bo3bo$boo23bo108bo3bo$26bobo19boo38boo49bo$26boo19bobbo12boo22bobbo12boo29bo$5boo41boo12bobbo22boo12bobbo32bo$4bobo56boo38boo28bo$6bo23boo101bo3bo$30bobo100bo3bo$30bo103bobbo$63boo38boo30bo7boo$63boo38boo38boo$85boo$30bo53bobo$29boo55bo$29bobo67boo$99bobo$99bo21$8boo38boo38boo38boo$8boo7bo30boo7bo30boo7bo30boo7bo$15bobbo36bobbo36bobbo36bobbo$15bo3bo35bo3bo35bo3bo35bo3bo$15bo3bo35bo3bo35bo3bo35bo3bo$19bo39bo39bo39bo$14bo39bo39bo39bo$18bo39bo39bo39bo$13bo39bo39bo39bo$13bo3bo12bobo20bo3bo10bo24bo3bo10bo13bo10bo3bo$13bo3bo12boo21bo3bo10b3o22bo3bo10b3o9boo11bo3bo$14bobbo13bo22bobbo13bo22bobbo13bo9boo11bobbo$15bo7boo30bo7boo5boo23bo7boo5boobbobo18bo7boo$23boo7b3o28boo38boo9boo27boo$32bo82bo35bobo$33bo115b3oboo$41bo111b3o$41bobo19boo38boo$22boo17boo19bobbo12boo22bobbo12boo$21bobo39boo12bobbo22boo12bobbo$23bo54boo38boo$25boo18boo100b3o$25bobo17bobo100boob3o$25bo19bo103bobo$78boo38boo38boo$78boo38boo38boo$100boo$45bo55boo$44boo54bo$44bobo67boo$113boo$115bo! mniemiec Posts: 888 Joined: June 1st, 2013, 12:00 am ### Re: Oscillator Discussion Thread P8, P9 & P11: x = 58, y = 22, rule = B3/S2343b2o$43bobo4b2o$18b2o5b2o18bo3bobo$2o16bo5bobo18b2o2bo$obo16bo4bo14b2o7b2o$2bo15b2o2b2ob4o10bobo3b3o$2b2o12bo2bobobobo2bo12bo2bo3b2o$5bo10b2o3b2o2bo14b2obo2bobobob2o$2b4o14bo2bobobo2b2o11bob3o2bobobob2o$2bo3bo13b4o4bo2bo11bo5b2obobobo$3b2obo17bobob3o10b2ob2o3bo2bobobo$4bob2o12b3obobo13bobobo2bo3b2ob2o$4bo3bo10bo2bo4b4o9bobobob2o5bo$5b4o10b2o2bobobo2bo8b2obobobo2b3obo$5bo19bo2b2o3b2o8b2obobobo2bob2o$7b2o13bo2bobobobo2bo12b2o3bo2bo$8bo13b4ob2o2b2o16b3o3bobo$8bobo15bo4bo15b2o7b2o$9b2o13bobo5bo14bo2b2o$24b2o5b2o12bobo3bo$45b2o4bobo$52b2o!

Found by Sokwe's dr2.
Still drifting.
Bullet51

Posts: 425
Joined: July 21st, 2014, 4:35 am

New p35 TL hassler:
x = 40, y = 46, rule = B3/S2316b2o6b2o$10bob2obobo6bobob2obo$10b2obobo10bobob2o$16bo8bo$14b3o8b3o2$17b3o2b3o2$20b2o$13b2obo8bob2o$13b2obo8bob2o$17bo6bo$18b6o3$32bo2b2o$31bobo2bo$31bobobo$6b2o22b2obob2o$5bo2bo10bobo8bo2bo3bo$o2bo2bobo10bo2bo8bo2b3obo$5obob2o9bobo8bo2b2o3bo$6bo2bo21bo2b4o$2b4o2bo21bo2bo$bo3b2o2bo8bobo9b2obob5o$bob3o2bo8bo2bo10bobo2bo2bo$2bo3bo2bo8bobo10bo2bo$3b2obob2o22b2o$4bobobo$3bo2bobo$3b2o2bo3$16b6o$15bo6bo$11b2obo8bob2o$11b2obo8bob2o$18b2o2$15b3o2b3o2$12b3o8b3o$14bo8bo$8b2obobo10bobob2o$8bob2obobo6bobob2obo$14b2o6b2o! 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: 1571 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Oscillator Discussion Thread A for awesome wrote:New p35 TL hassler: x = 40, y = 46, rule = B3/S2316b2o6b2o$10bob2obobo6bobob2obo$10b2obobo10bobob2o$16bo8bo$14b3o8b3o2$17b3o2b3o2$20b2o$13b2obo8bob2o$13b2obo8bob2o$17bo6bo$18b6o3$32bo2b2o$31bobo2bo$31bobobo$6b2o22b2obob2o$5bo2bo10bobo8bo2bo3bo$o2bo2bobo10bo2bo8bo2b3obo$5obob2o9bobo8bo2b2o3bo$6bo2bo21bo2b4o$2b4o2bo21bo2bo$bo3b2o2bo8bobo9b2obob5o$bob3o2bo8bo2bo10bobo2bo2bo$2bo3bo2bo8bobo10bo2bo$3b2obob2o22b2o$4bobobo$3bo2bobo$3b2o2bo3$16b6o$15bo6bo$11b2obo8bob2o$11b2obo8bob2o$18b2o2$15b3o2b3o2$12b3o8b3o$14bo8bo$8b2obobo10bobob2o$8bob2obobo6bobob2obo$14b2o6b2o!

Very nice! The large domino sparkers can be replaced with fumaroles:
x = 40, y = 30, rule = B3/S2319b2o4b2o$19bobo2bobo$21bo2bo$20bo4bo$20b2o2b2o$22b2o2$32bo2b2o$31bobo2bo$31bobobo$6b2o22b2obob2o$5bo2bo10bobo8bo2bo3bo$o2bo2bobo10bo2bo8bo2b3obo$5obob2o9bobo8bo2b2o3bo$6bo2bo21bo2b4o$2b4o2bo21bo2bo$bo3b2o2bo8bobo9b2obob5o$bob3o2bo8bo2bo10bobo2bo2bo$2bo3bo2bo8bobo10bo2bo$3b2obob2o22b2o$4bobobo$3bo2bobo$3b2o2bo2$16b2o$14b2o2b2o$14bo4bo$15bo2bo$13bobo2bobo$13b2o4b2o! How did you find it? Edit: Reduction of new billiard tables by Bullet51: x = 59, y = 18, rule = B3/S2325b2o$2o22bobo$bo16b2o4bo25bo$o18bo2b2ob4o19b3o$2o17bobobobo2bo18bo3b2o$3bo13b2o2bobo22bo2bo3bob2o$3obo13bobo25bob2o3bobo$o17bob3obo2b2o16b2o6bobo$2b2o15bo4b2o2b3o13bo2b2o6bob2o$3b2o15b3o2b2o4bo12b2obo6b2o2bo$6bo15b2o2bob3obo14bobo6b2o$2bob3o23bobo14bobo3b2obo$3bo23bobo2b2o12b2obo3bo2bo$5b2o15bo2bobobobo18b2o3bo$6bo15b4ob2o2bo20b3o$5bo20bo4b2o19bo$5b2o17bobo$24b2o!
-Matthias Merzenich
Sokwe
Moderator

Posts: 1197
Joined: July 9th, 2009, 2:44 pm

Sokwe wrote:
A for awesome wrote:New p35 TL hassler:
pattern
reduction

How did you find it?

Thanks for the reduction! I found it through manually messing around with TLs for lack of something better to do and luck.
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: 1571
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

How about a list of the smallest oscillators witha specific period up to some period?
One big dirty Oro. Yeeeeeeeeee...

gameoflifemaniac

Posts: 543
Joined: January 22nd, 2017, 11:17 am
Location: Poland

gameoflifemaniac wrote:How about a list of the smallest oscillators witha specific period up to some period?

That can be found on the oscillator wiki page.
-Matthias Merzenich
Sokwe
Moderator

Posts: 1197
Joined: July 9th, 2009, 2:44 pm

Sokwe wrote:
gameoflifemaniac wrote:How about a list of the smallest oscillators witha specific period up to some period?

That can be found on the oscillator wiki page.

It's incomplete. I mean, there are known oscillator periods on the list that haven't got the corresponding oscillators.
One big dirty Oro. Yeeeeeeeeee...

gameoflifemaniac

Posts: 543
Joined: January 22nd, 2017, 11:17 am
Location: Poland

x = 11, y = 14, rule = LifeHistory4.A$2A.A.A$2A.A.A$3.A.A.2A.A$2A.A.A.A.2A$AB.ABAB$2.AB.BA$.2A3B$.2A3BC$2.BA2B$5.2BA$5.2A.A$8.A$8.2A! It may have some use if it were an external sparker. But we already have p7 single-cell sparkers. Still drifting. Bullet51 Posts: 425 Joined: July 21st, 2014, 4:35 am ### Re: Oscillator Discussion Thread Bullet51 wrote: x = 11, y = 14, rule = LifeHistory4.A$2A.A.A$2A.A.A$3.A.A.2A.A$2A.A.A.A.2A$AB.ABAB$2.AB.BA$.2A3B$.2A3BC$2.BA2B$5.2BA$5.2A.A$8.A$8.2A!

It may have some use if it were an external sparker. But we already have p7 single-cell sparkers.

I minimized the stator using JLS and found that the minimum form is only 28 bits. This makes it part of a four-way tie (not counting stator variants) for smallest known period-7 oscillator:
x = 10, y = 13, rule = B3/S23obo$2obo$3bo2b2o$2obobobo$o2bo2bo$2bo$4bo$2b3o2$6b2o$6bobo$8bo$8b2o! How did you find it? Edit: do you want to name it? For now I am calling it 28P7.3. -Matthias Merzenich Sokwe Moderator Posts: 1197 Joined: July 9th, 2009, 2:44 pm ### Re: Oscillator Discussion Thread Sokwe wrote:I minimized the stator using JLS and found that the minimum form is only 28 bits. This makes it part of a four-way tie (not counting stator variants) for smallest known period-7 oscillator: x = 10, y = 13, rule = B3/S23obo$2obo$3bo2b2o$2obobobo$o2bo2bo$2bo$4bo$2b3o2$6b2o$6bobo$8bo$8b2o!

How did you find it?

Thanks for your optimization. I found it with dr2, by using the following input file:
H80rot180symmv127 1c46h10w9r39 39444444!

It is originally found in its dimerized form:
x = 11, y = 20, rule = b3s234bo$2obobo$2obobo$3bobob2obo$2obobobob2o$2obob2o$2bo2bo$2bobo$2bobo$3b2o$6b2o$6bobo$6bobo$5bo2bo$4b2obob2o$2obobobob2o$ob2obobo$5bobob2o$5bobob2o$6bo! Do you want to name it? For now I am calling it 28P7.3. 28P7.3 is fine with me. Still drifting. Bullet51 Posts: 425 Joined: July 21st, 2014, 4:35 am ### Re: Oscillator Discussion Thread Here are all rectangular billiard tables I know off: x = 460, y = 38, rule = B3/S23b2o2b2o10bo11b2obo9b2obo10b2o12b2o12b2o14bo15b2o13b2o13b2o13b2o17b2o16b2o16b2o14b2o13b2o13b2o13b2o13b2o13bo2bo2bo13bo2bo2bo13bo2bo2bo13bo2bo2bo13bo2bo2bo13bo2bo2bo13bo2bo2bo13bo2bo2bo$bo2bo2bob2o4b3o11bob2o9bob2o10b2o12b2o12b2o13bobo14b2o13b2o13b2o13b2o15bo2bo14bo2bo14bo2bo14b2o13b2o13b2o13b2o13b2o13b7o13b7o13b7o13b7o13b7o13b7o13b7o13b7o$2bobo2bobo4bo85bo77b3o15b3o15b3o$b2obo2bo2bo3bo2b3o10b3o10b3o10b4o10b4o10b4o26b6o9b6o9b6o9b6o65b6o9b6o9b6o9b6o9b6o9b11o9b11o9b11o9b11o9b11o9b11o9b11o9b11o$5b2o2b2o2b2obo3bo8bo3bob2o5bobobob2o5bobo2bob2o5bo4bob2o5bo4bob2o6b5o10bo6bo7bo6bo7bo6bo7bo6bo10b7o11b7o11b7o10bo6bo7bobo4bo7bo6bo7bobo4bo7bo6bo7bo11bo7bo11bo7bobo9bo7bobo9bo7bobo7bobo7bobo7bobo7bobo9bo7bobo9bo$16bo3bo8bo3bob2o5bo2b2ob2o5bo4bob2o5b2o3bob2o5bobo2bob2o5bo3bobo9bob2o3bo7bob2o3bo7bob2o3bo7bo3b2obo9bobo5bo9bo3bo3bo9bo7bo9bo3b2obo7b2o2b2obo7bo3b2obo7b2o2b2obo7bo2b3obo7bo3b2ob2o3bo7bo3b2ob2o3bo7b2o2b2ob2o3bo7b2o2b2ob2o3bo7b2o2b2ob2o2b2o7b2o2b2ob2o2b2o7b2o2b2ob2o3bo7b2o2b2ob2o3bo$5b2o9bo3bob2o2b2obobobo5b2obo3bo5b2obo3b2o5b2obo2bobo5b2obobo2bo5bo2bo4b2o2bo3b2obob2o3bob2ob2obobo4bob2ob2obobo4bob2ob2obobobo2bob2o3bo2bo3b2o2bo2bo3bo2bobo3bobo2bo6bo2b3o2bo2b2o2b2obo4bobob2ob2obo4bobob2ob2obo3b2obob2ob2obo4bobob2ob2obobo2bobob2ob2obo4bobo4bob2ob2obo4bobo4bob2ob2obo4bobo4bob2ob2obo4bobo4bob2ob2obo4bobo4bob2ob2obo4bobo4bob2ob2obo4bobo4bob2ob2obo4bobo4bob2o$4bo2bo9b3o2bo3b2obo3bo5b2obo3bo5b2obo4bo5b2obobo2bo5b2obo2bobo4bobobo5bobobo2b2obo3b2obob2ob2obobo2bobob2ob2obobo2bobob2ob2obobo3b2ob2o2bobobo2bo3b2obobobobobo2bobo2bobobo2b2obobo3bobobobo3bobobo2bobobo3bobobo2bobobo3bobob2o3bobo3bobobo4bobo3bobobo4bobo3bobobo2bobo2bobobo3bobobo2bobo2bobobo3bobobo2bobo2bobobo3bobobo2bobo2bobobo3bobobo2bobo2bobobo3bobobo2bobo2bobobo3bobobo2bobo2bobobo3bobobo2bobo2bobobo$bo2bo2bo2bo11bo7b3o10b3o10b4o10b4o10b4o6bo2b2o4bo2bo6bo3b2obo7bo2b3obo7bob4obo7bob2o3bo6bo2bo3b2o2bo2bo3bo2b2obobob2o2bo4bobobo3bobobo5bobob4obobo3bobob4obobo3bobob2o3bobo3bobob2o3bobo3bobob2o3bobo3bobob3o3b3obobo3bobob4ob4obobo3bobob3o3b3obobo3bobob4ob4obobo3bobob3o3b3obobo3bobob4ob4obobo3bobob3o3b3obobo3bobob4ob4obobo$obobo2bobobo7b3o75bobo3bo9bo6bo7bo6bo7bo6bo7bo4bobo9bobo5bo9bo7bo5bobobobo3bobob2o3b2obo6bob2ob2obo6bob2ob2obo5b2ob2ob2obo5b2ob2ob2obo5b2ob2ob2obo11bob2ob2obo11bob2ob2obo11bob2ob2obo11bob2ob2obo11bob2ob2obo11bob2ob2obo11bob2ob2obo11bob2o$bo2b4o2bo8bo10b2obo9b2obo11b2o12b2o12b2o10b5o11b6o9b6o9b6o9b6o11b7o11b7o6b2o2bo2b3o2bo7bobob4obobo3bobob4obobo3bobob2o3bobo3bobob2o3bobo3bobob2o3bobo3bobob3o3b3obobo3bobob4ob4obobo3bobob3o3b3obobo3bobob4ob4obobo3bobob3o3b3obobo3bobob4ob4obobo3bobob3o3b3obobo3bobob4ob4obobo$4bo2bo22bob2o9bob2o11b2o12b2o12b2o123bo7bo7bobobo2bobobo3bobobo2bobobo3bobob2o3bobo3bobob2o3bobo3bobob2o3bobo3bobobo2bobo2bobobo3bobobo2bobo2bobobo3bobobo2bobo2bobobo3bobobo2bobo2bobobo3bobobo2bobo2bobobo3bobobo2bobo2bobobo3bobobo2bobo2bobobo3bobobo2bobo2bobobo$5b2o93bo15b2o13b2o13b2o13b2o15b3o15b3o13b7o7b2obo4bobob2ob2obo4bobob2ob2obo3b2obob2ob2obo3b2obob2ob2obo3b2obob2ob2obo4bobo4bob2ob2obo4bobo4bob2ob2obo4bobo4bob2ob2obo4bobo4bob2ob2obo4bobo4bob2ob2obo4bobo4bob2ob2obo4bobo4bob2ob2obo4bobo4bob2o$99bobo14b2o13b2o13b2o13b2o15bo2bo14bo2bo29bo3b2obo7bo3b2obo7bo3b2obo7bo3b2obo7bo3b2obo7bo3b2ob2o3bo7bo3b2ob2o3bo7bo3b2ob2o3bo7bo3b2ob2o3bo7bo3b2ob2o3bo7bo3b2ob2o3bo7bo3b2ob2o2b2o7bo3b2ob2o2b2o$5b2o93bo79b2o16b2o14b3o12bo6bo7bo6bo7bo6bo7bo6bo7bo6bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo9bobo7bo9bobo$4bo2bo205bo2bo13b6o9b6o9b6o9b6o9b6o9b11o9b11o9b11o9b11o9b11o9b11o9b11o9b11o$2o2bo2bo205b2o$obobo2bob2o221b2o13b2o13b2o13b2o13b2o13b7o13b7o13b7o13b7o13b7o13b7o13b7o13b7o$2bob4obo222b2o13b2o13b2o13b2o13b2o13bo2bo2bo13bo2bo2bo13bo2bo2bo13bo2bo2bo13bo2bo2bo13bo2bo2bo13bo2bo2bo13bo2bo2bo$b2obo2bobobo$4bo2bo2b2o$4bo2bo$5b2o4$5b2o$5b2o4$5b2o$5b2o4$5b2o$5b2o! Are there any more? https://www.youtube.com/watch?v=q6EoRBvdVPQ One big dirty Oro. Yeeeeeeeeee... gameoflifemaniac Posts: 543 Joined: January 22nd, 2017, 11:17 am Location: Poland ### Re: Oscillator Discussion Thread gameoflifemaniac wrote:Here are all rectangular billiard tables I know off... Are there any more? Up to the size you have there, with stable cells allowed in part of the area? Sure! There are truly hideously large numbers of them, in fact -- almost certainly more than would fit in any reasonable stamp collection. Billiard tables are like methuselahs, in that there are way too many of them, and it's way too easy for people to discover "new" examples... which may in fact be new in some cases, but may still not be interesting. I'd advise reading through some earlier threads covering some of this same ground before posting any more new finds. If you're really interested in making a larger collection of these things, it's a good idea to use WLS or JLS instead of relying on random trials with Python scripts. For the smaller sizes and periods you'll be able to run through all the possibilities in seconds or less, without missing any cases. Here's JavaLifeSearch, and its instruction manual. Just to get you started, one of the intermediate smallish sizes that you don't have an example of is 7x6. Here's one way to set up period-2 and period-3 searches in JLS: sample7x6p2search.txt Sample search file for 7x6 rectangle, period 2 (3.58 KiB) Downloaded 13 times sample7x6p3search.txt Sample search file for 7x6 rectangle, period 3 (11.59 KiB) Downloaded 7 times Just load these files from File > Open after running JLS, then choose Search > Start. You may want to send output to a file. In that case go to Search > Options first, and check or uncheck "Pause search after each solution" and "Append solutions to file" as you wish. Familiarize yourself with all the other options in Search > Options and in Edit > Properties, too, while you're at it. You'll need the Edit > Properties options to set up your own searches at different sizes and periods. #C 1 result from p2 search inside 7x6x = 15, y = 16, rule = B3/S238boo$6bobbo$6b3o$$4b7o3bo7bo3bobb3obbooobobo3boboboooobobo3boboboo3bobb3obbo3bo7bo4b7o$$6b3o$6bobbo$8boo! #C 36 results from p3 search inside 7x6#C (many of them are rotations or reflections of other cases)x = 1276, y = 15, rule = B3/S237b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o$7b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o2$5b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o$4bo6bo28bo2bo3bo28bo6bo28bo6bo28bo6bo28bo3bo2bo28bo3bo2bo28bo3bo2bo28bo6bo28bo3bo2bo28bo3bo2bo28bo6bo28bo3bo2bo28bo3bo2bo28bo6bo28bo6bo28bo6bo28bo3bo2bo28bo6bo28bo6bo28bo3bo2bo28bo6bo28bo2bo3bo28bo2bo3bo28bo6bo28bo2bo3bo28bo2bo3bo28bo6bo28bo2bo3bo28bo2bo3bo28bo6bo28bo2bo3bo28bo6bo28bo6bo28bo2bo3bo28bo6bo$2o2b2o3bobo2b2o20b2o2b2o2b2obo2b2o20b2o2b2obobobo2b2o20b2o2bobobob2o2b2o20b2o2bobo3b2o2b2o20b2o2bob2o2b2o2b2o20b2o2b2o5bo2b2o20b2o2bobo4bo2b2o20b2o2bobo2bobo2b2o20b2o2b2o5bo2b2o20b2o2bobo4bo2b2o20b2o2bobo2bobo2b2o20b2o2b2o5bo2b2o20b2o2bobo4bo2b2o20b2o2bobo2bobo2b2o20b2o2bobobob2o2b2o20b2o2bobo3b2o2b2o20b2o2bob2o2b2o2b2o20b2o2bobobob2o2b2o20b2o2bobo3b2o2b2o20b2o2bob2o2b2o2b2o20b2o2bobo2bobo2b2o20b2o2bo5b2o2b2o20b2o2bo4bobo2b2o20b2o2bobo2bobo2b2o20b2o2bo5b2o2b2o20b2o2bo4bobo2b2o20b2o2bobo2bobo2b2o20b2o2bo5b2o2b2o20b2o2bo4bobo2b2o20b2o2b2o3bobo2b2o20b2o2b2o2b2obo2b2o20b2o2b2obobobo2b2o20b2o2b2o3bobo2b2o20b2o2b2o2b2obo2b2o20b2o2b2obobobo2b2o$obobo3b2obobobo20bobobo3b2obobobo20bobobo3b2obobobo20bobobob2o3bobobo20bobobob2o3bobobo20bobobob2o3bobobo20bobobo5b2obobo20bobobob2o2b2obobo20bobobob4obobobo20bobobo5b2obobo20bobobob2o2b2obobo20bobobob4obobobo20bobobo5b2obobo20bobobob2o2b2obobo20bobobob4obobobo20bobobob2o3bobobo20bobobob2o3bobobo20bobobob2o3bobobo20bobobob2o3bobobo20bobobob2o3bobobo20bobobob2o3bobobo20bobobob4obobobo20bobob2o5bobobo20bobob2o2b2obobobo20bobobob4obobobo20bobob2o5bobobo20bobob2o2b2obobobo20bobobob4obobobo20bobob2o5bobobo20bobob2o2b2obobobo20bobobo3b2obobobo20bobobo3b2obobobo20bobobo3b2obobobo20bobobo3b2obobobo20bobobo3b2obobobo20bobobo3b2obobobo$2bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo24bobo6bobo$b2obob4obob2o22b2obob4obob2o22b2obob4obob2o22b2obob4obob2o22b2obob4obob2o22b2obob4obob2o22b2obob2o3bob2o22b2obob2o3bob2o22b2obob2o3bob2o22b2obob2o3bob2o22b2obob2o3bob2o22b2obob2o3bob2o22b2obob2o3bob2o22b2obob2o3bob2o22b2obob2o3bob2o22b2obob2o2b2ob2o22b2obob2o2b2ob2o22b2obob2o2b2ob2o22b2obo5b2ob2o22b2obo5b2ob2o22b2obo5b2ob2o22b2obo3b2obob2o22b2obo3b2obob2o22b2obo3b2obob2o22b2obo3b2obob2o22b2obo3b2obob2o22b2obo3b2obob2o22b2obo3b2obob2o22b2obo3b2obob2o22b2obo3b2obob2o22b2ob2o5bob2o22b2ob2o5bob2o22b2ob2o5bob2o22b2ob2o2b2obob2o22b2ob2o2b2obob2o22b2ob2o2b2obob2o$4bobo2bobo28bobo2bobo28bobo2bobo28bobo2bobo28bobo2bobo28bobo2bobo28bobobob2o28bobobob2o28bobobob2o28bobo3b2o28bobo3b2o28bobo3b2o28bob2o2b2o28bob2o2b2o28bob2o2b2o28bobo4bo28bobo4bo28bobo4bo28b2o5bo28b2o5bo28b2o5bo28b2obobobo28b2obobobo28b2obobobo28b2o3bobo28b2o3bobo28b2o3bobo28b2o2b2obo28b2o2b2obo28b2o2b2obo28bo5b2o28bo5b2o28bo5b2o28bo4bobo28bo4bobo28bo4bobo$4bo6bo28bo6bo28bo6bo28bo6bo28bo6bo28bo6bo28bo6bo28bo6bo28bo6bo28bo6bo28bo6bo28bo6bo28bo3bo2bo28bo3bo2bo28bo3bo2bo28bo3bo2bo28bo3bo2bo28bo3bo2bo28bo3bo2bo28bo3bo2bo28bo3bo2bo28bo6bo28bo6bo28bo6bo28bo6bo28bo6bo28bo6bo28bo2bo3bo28bo2bo3bo28bo2bo3bo28bo2bo3bo28bo2bo3bo28bo2bo3bo28bo2bo3bo28bo2bo3bo28bo2bo3bo$5b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o30b6o2$7b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o$7b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o34b2o! Then there aren't any p4, p5, or p6 solutions at that size. Those searches take about three seconds, fifteen seconds, and a minute, respectively. Then you can find almost two hundred p7s in about five minutes of JLS searching. They're all incredibly boring variants of your rightmost 6x6 billiard table, except for a few slightly interesting ones that fit two copies of the rotor into the space: x = 15, y = 16, rule = B3/S238b2o$6bo2bo$6b3o2$4b7o$3bo7bo$3bob4o2bo$2obobobo3bob2o$2obobo3bobob2o$3bob5obo$3bo7bo$4b7o2$6b3o$6bo2bo$8b2o!

Again, most of them are rotated or reflected duplicates. If you get to the point where you're processing a lot of these things, it's probably worth borrowing some Python code from apgsearch -- find the apgcode of each oscillator so you can easily throw out the duplicates.

-------------------------------------------------

One last word and warning (as the cold Duke said):

You can keep on with this series of searches to look at higher periods, but the search time rises exponentially: maybe half an hour for p8, several hours for p9, a day for p10 (if you're lucky), a week for p11, a month for p12, etc. Maybe you can squeeze more speed out of JLS by choosing a different sort order in Edit > Properties, but then again you might only make things worse.

Moving up to 7x7 and larger rectangles will also make searches proportionally slower. You may or may not find anything that someone else hasn't found before -- or you may find something "new" that is one of a billion similar variants, which means any given example has only a 0.000000001 Interestingness Score.

WLS/JLS beginners find it very tempting to run ambitious searches -- maybe there's a p19 oscillator in an 11x11 box! It's true, it might actually be there, but the odds are very poor that a simple JLS search will find it for you in any reasonable amount of time.

Searches that can't be run to completion are most likely stuck in some useless corner of a huge search space -- and they will likely remain stuck there for more than a century, or until your power goes out, or until your computer needs rebooting... whichever comes first.

dvgrn
Moderator

Posts: 4344
Joined: May 17th, 2009, 11:00 pm

x = 17, y = 15, rule = B3/S236b2o$b2o2bobo2b2obo$bo3bobobo2b2o$2b3obobobo$4bobo3bob4o$6b2o2b2obo2bo$5b2o8b2o2$2o8b2o$o2bob2o2b2o$b4obo3bobo$6bobobob3o$3b2o2bobobo3bo$3bob2o2bobo2b2o$9b2o! Still drifting. Bullet51 Posts: 425 Joined: July 21st, 2014, 4:35 am ### Re: Oscillator Discussion Thread A p42 TL hassler supported by p21 glider streams: x = 57, y = 57, rule = B3/S2327b2o25bo$21bob2obobo25bobo$21b2obobo27b2o$25b2o$26bo$27b2o2bo2b2o14bo$30bobo2bo12b2o$25bo4bobobo14b2o$33bo$21b2o3b7o$21bobo20bo$23bo7b2o2bo7bo$23b2o5bob4o7b3o$26b2o2bo$21b5o3b5o$20bo4bo3bo3bo$21b3o6b3o5bobo$23bob4obo7b2o$24b6o9bo$25b4o$15bo$b2o6b2o3bobo27b2o4b2o$2bo6bo4bobo19b2o6bo4bobo$bo8b3obob2o17bo5b2obo3bo$b2o9bobo2bo22bobob2obob2o$3bo10bobo10bo12bobo2bobo3bo$b4o9bobo11bo10b2ob3o2bob2o$o5b3o5bobo8bo2bo9bo2b2o4bo$2o4b3ob5obo9b2ob2o6b3o7bo3bo3b2o$7bo3bo5bo8bobo2bo5b3o3bo3bo3bo4bo$5bo3bobob2ob2o9b2o8b3o3bo3bo4b4o$5bo3bobo2bobo12bo7b3ob2o6bo3bo$6b2obob2obobo21bo3bobo9b2o$8bo3bob2o5b3o15b2obob3o8bo$5bobo4bo10bo16bobo4bo6bo$5b2o4b2o9bo17bobo3b2o6b2o$41bo2$16b2o$17b2o7b2o4b2o$16bo7b3ob4ob3o$23bo12bo$23b4ob8o$11b2o13bobo$10bobo8b4o3bo3b2o$12bo8bo2b5o4bo$28bo4bobo$24b3o7b2o$6bo16bo4b2o$6b2o14bobo2b3o$5bobo13bo2bo3b2o$21b2o2b2o$30bo$30b2o$3o27bobob2o$2bo25bobob2obo$bo26b2o!

The streams are just there to delete beehives, but I can't find a way to delete them without guns.
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: 1571
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

P16:
x = 20, y = 18, rule = b3s239b2o$8bo2bo$9b2o3b2o$6b3o5bo$2o3bo3b2o4bo$obobob3o2bo2b2o$2bobobobobobo$b2obobo3bobob2o$4bobo3bobo2bo$4bobo3bobo2bob2o$2bobobobobob2obobo$2b2obob2obo2bobobobo$5bo5bobobo2b2o$5b7obobo$14bo$7b3o$6bo2bo$6b2o! Still drifting. Bullet51 Posts: 425 Joined: July 21st, 2014, 4:35 am ### Re: Oscillator Discussion Thread Bullet51 wrote:P16: x = 20, y = 18, rule = b3s239b2o$8bo2bo$9b2o3b2o$6b3o5bo$2o3bo3b2o4bo$obobob3o2bo2b2o$2bobobobobobo$b2obobo3bobob2o$4bobo3bobo2bo$4bobo3bobo2bob2o$2bobobobobob2obobo$2b2obob2obo2bobobobo$5bo5bobobo2b2o$5b7obobo$14bo$7b3o$6bo2bo$6b2o!

You know the drill:
x = 18, y = 14, rule = B3/S237bo5b2o$5b3o5bo$4bo3b2o4bo$3bob3o2bo2b2o$3bobobobobo$2obobo3bobob2o$bobobo3bobo2bo$bobobo3bobo2bob2o$2b2obobobob2obob2o$4bob2obo2bobo$4bo5bobobo$5b5obobo$7bo3bo$11b2o! LifeWiki: Like Wikipedia but with more spaceships. [citation needed] BlinkerSpawn Posts: 1642 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: Oscillator Discussion Thread Bullet51 wrote:P16: x = 20, y = 18, rule = b3s239b2o$8bo2bo$9b2o3b2o$6b3o5bo$2o3bo3b2o4bo$obobob3o2bo2b2o$2bobobobobobo$b2obobo3bobob2o$4bobo3bobo2bo$4bobo3bobo2bob2o$2bobobobobob2obobo$2b2obob2obo2bobobobo$5bo5bobobo2b2o$5b7obobo$14bo$7b3o$6bo2bo$6b2o!

-Matthias Merzenich
Sokwe
Moderator

Posts: 1197
Joined: July 9th, 2009, 2:44 pm

A fairly small p5 sparker with two different types of sparks, both new for that period (I think):
x = 27, y = 22, rule = B3/S2312bob2o$13bobo3$5b2o7b4o3bob2o$5bobob2obo3bobo2b2obo$7bobo2bo5b3o$o6bo6bobo5b2o$b2obo2b2o2b3o4b2obo2bobo$o3bobob2o8b2o3bob2o$8b2o11bobo$o3bobob2o8b2o3bob2o$b2obo2b2o2b3o4b2obo2bobo$o6bo6bobo5b2o$7bobo2bo5b3o$5bobob2obo3bobo2b2obo$5b2o7b4o3bob2o3$18b2o$17b2o$19bo! (Reduced and another interaction added via edit) A few small p2/3 rotors/bushings that I couldn't find in jslife for some reason: x = 88, y = 14, rule = B3/S235bo31b2o13b2o2b2o6bo2bo$4bobo12b2o3b2o11bo13bo2bo2bo6b4o$3bo2bo12bobobo2bo11bo2b2o8b2o2b2o25b2ob2o$3b2obob2o11bobo2bo10b2o3bo10b2o7b8o6bob2obobobobo$6bobo8b4obob2ob2o2bob2obo2b3o9b2ob3o5bo7bo5b2obobo5bo$8bo8bo2bobob2obo3b2obobob2obobob2o3bo6bo6b3obobo10bobo2bo$2obob3o14bo4bo8bo4bob2obo2bobo2b3o10bob2ob2o6bob2obo$ob2o17bo3b2o8bo3b2o8bobo2bo12bo3bobo5bobo2bo$5b3o13b2o2bo9b2o2bo10bo13b3ob3o8bob3o$b4o2bo18bo13bo21bo5bo11bo$bo2bo20b2o12b2o21b6o13bo$80b2o$64b2o$64b2o!

And a weird 30-cell p4 thumb:
x = 8, y = 15, rule = B3/S237bo$6b2o$6b2o$b3o2bo2$4b2o$o3b2o$bo2bo$2b3o$2bo2bo$2bo$b2o3bo$6b2o$6b2o$7bo! 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: 1571 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Oscillator Discussion Thread A for awesome wrote: x = 88, y = 14, rule = B3/S235bo31b2o13b2o2b2o6bo2bo$4bobo12b2o3b2o11bo13bo2bo2bo6b4o$3bo2bo12bobobo2bo11bo2b2o8b2o2b2o25b2ob2o$3b2obob2o11bobo2bo10b2o3bo10b2o7b8o6bob2obobobobo$6bobo8b4obob2ob2o2bob2obo2b3o9b2ob3o5bo7bo5b2obobo5bo$8bo8bo2bobob2obo3b2obobob2obobob2o3bo6bo6b3obobo10bobo2bo$2obob3o14bo4bo8bo4bob2obo2bobo2b3o10bob2ob2o6bob2obo$ob2o17bo3b2o8bo3b2o8bobo2bo12bo3bobo5bobo2bo$5b3o13b2o2bo9b2o2bo10bo13b3ob3o8bob3o$b4o2bo18bo13bo21bo5bo11bo$bo2bo20b2o12b2o21b6o13bo$80b2o$64b2o$64b2o!

#5, but smaller:
x = 10, y = 14, rule = B3/S232b2o$2bo$4bo2bo$8o$o$2b3obobo$5bob2o$5bo$2b3ob2obo$o5bob2o$6o2$2b2o$2b2o!
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