Cordership Discussion Thread

[Wyirm]

Going back to the old cordership heisenburp discussion, two possible starting points:

Code: Select all

x = 66, y = 49, rule = LifeSuper
19.2A$19.4A$19.A.2A2$20.A$19.2A$19.3A$21.A$33.2A$33.2A7$36.A$35.2A$
34.A3.A$35.2A2.A$40.A$37.A.A$38.A19.2A$38.A18.A.A$38.2A18.A$38.2A$58.
A$57.A.A$13.A10.A32.A.A$12.5A5.A.2A11.A20.A$11.A10.A3.A9.A25.2A.A$12.
2A8.3A.A9.2A24.A.2A$13.2A9.2A12.A$2A13.A21.3A$2A35.3A7$8.2A$8.2A11.2A
$19.2A2.A$24.A3.A$18.A5.A3.A$19.A2.2A3.A.A$20.3A5.A$28.A!

and:

Code: Select all

x = 66, y = 49, rule = LifeSuper
19.2A$19.4A$19.A.2A2$20.A$19.2A$19.3A$21.A$33.2A$33.2A7$36.A$35.2A$
34.A3.A$35.2A2.A$40.A$37.A.A$38.A18.2A$38.A18.A.A$38.2A18.A$38.2A$58.
A$57.A.A$13.A10.A32.A.A$12.5A5.A.2A11.A20.A$11.A10.A3.A9.A25.2A.A$12.
2A8.3A.A9.2A24.A.2A$13.2A9.2A12.A$2A13.A21.3A$2A35.3A7$8.2A$8.2A11.2A
$19.2A2.A$24.A3.A$18.A5.A3.A$19.A2.2A3.A.A$20.3A5.A$28.A!

[muzik]

Here's a quick list of notable Corderships with no known glider synthesis (I've submitted a trivial synthesis for David Bell's skewed 136-cell 4-engine Cordership, which will hopefully be approved in less than an hour):

- 6-engine Cordership: xq96_yk573w8aegvzyzy133zyzy9oozyao0ovogoy14440g8gzyb6ug101y61ycgggy2gw66zg8880gxg8gx4874w11yl231w4578fz34440d9ac8lya2552zyhoozy1ooggy1aghh92yc763zx77glhf2ymgmknozy5ggy9kscx8o0szy511ye11123zydcc
- 7-engine Cordership: xq96_yi33zyaooydgs2iczyr77866zy266yrgcc0q996zyyg0j33z0gs8ogyrk1087zxoe2yzybo44oze0333yjg8048gyjeehdc1y1oozyi4aha40782hnezyfg0gyho88gy966zy8ggn723110d74y0oggy6c1g066y1ggzyn11gt5y7137y211zyms0676y8111
- 8-engine Cordership: xq96_yzweaa270so80gkue8zyzy16621yb66zyzy7g8gyeggzypgbp16y9oo01221yd11zyq16a1p7xo4ozyfgy88g9y11yg4ario8ggzyb79832p62kggwk8ykgy61111zyg111ggyn270reoz0u2ewggya1221yq33z115sc431y6ccz0osoey42596ydg8c8zx1yr1327566zy2ooyd8s2cozyo3dfzya66
- 10-engine Cordership: xq96_yzw8fx8gc4mzyzy31w11y666zyzyqggzym2223yz11zyngs5ipyzy2cczybguxg0o8cy6go46744gzyg21023y1gx13529fig4m2yreggy233zylgos23rlioy51yt331z4446yj3040pc0b8yz0a4zwoa4iz011011yzy81116e6y0121zyzy7szy266yzy0772zyaggyuk8zya11zyiccy3222cscy0242zzyq33
- 13-engine Cordership: xq96_yzy94ahhlmzyzyd3453y7cczzyvg848gyz33zyv34607qicylgw4x76y6oozym8k22acycoogy2oogx21026dc22zyo1179a6ya110321yroooy366zyyoooyzy21a6zy6g8gym1a6yh3yhcszy578c0fk4oyhcsyco022y1aa6zg844koy411yh4ah288gy288yc772c84x332z0122eikcy8ee4og8x6644a1i4ggw31y9743gggzy0oyq121yh13lczx1ed8yzy9oozw7y097yzy81zy3ggytee4og8x664zy311zybccyc37bozytgg1zyj33y413

And a list of unsynthesized Corderships from the stdin symmetry that found the xq192 - these should be easier to synthesise:
- xq96_y233zy0ogy57c44oz4ah8221y51221z067zwgacz0333y4cczy58c8zy37w41e2063236zyihvayj6919uggzyh4k680ogx66zyi44401yhg8gy3cczytee4312xcc44ag9411
- xq96_y933zy1oozybg8cozybhb8scx444z1d5t3y7chk8zscoy916zzyago4c0u396zyb13631zyzyegzyw84koyd3zys4erhld1y444869a04if38oie4zyv1yx33zyzymoozyzy2ksow2ae1v
- xq96_y933zy1oozybg8cozybhb8scx444z1d5t3y7chk8zscoy916zzybg884k264zyc111zyzyegzyxcoye3zyuehc3y544869a04if38oie4zyzyu33zyzymoozyzy2ksow2ae1v
- xq96_y933zy1oozybg8cozybhb8scx444z1d5t3y7chk8zscoy916zzybgcc0q996zyc333zyzyegzywo44oyd3zyteehdc1y444869a04if38oie4zyzyu33zyzymoozyzy2ksow2ae1v
- xq96_y933zy1oozybg8cozybhb8scx444z1d5t3y7chk8zscoy916zzycgggcecy0g8gzzyva4yggzywoogye3zyve11y544869a04if38oie4zyzyu33zyzymoozyzy2ksow2ae1v
- xq96_y933zy1oozybg8cozybhb8scx444z1d5t3y7chk8zscoy916zzycgo0or4zyd101zyzyegzyvgg8ggyd3zyu5d5y644869a04if38oie4zyzyu33zyzymoozyzy2ksow2ae1v
- xq96_y933zy1oozybg8cozybhb8scx444z1d5t3y7chk8zscoy916zzydoogc48xgggzyd11y311zyuceyhgzywkoyf3zyu676y644869a04if38oie4zyzyu33zyzymoozyzy2ksow2ae1v
- xq96_y933zy1oozybg8cozybhb8scx444z1d5t3y7chk8zscoy916zzyfgccgh2t6a4cc6ezyg30301y7ksczyvglrcgydgzytkl6oo12yd3zyv1y744869a04if38oie4zyzyu33zyzymoozyzy2ksow2ae1v
- xq96_y933zy1oozybg8cozybhb8scz1d5t3y7chk8ygg0gzscoy916y18m6msy7348896zyjg1i11yeeh12kzyi1203yi11zzyygggwgcc4sozyy242x11211zyzy444869a04if38oie4zyzyu33zyzymoozyzy2ksow2ae1v
- xq96_yzy3573w8aegvzyzyn33zyzyvoozyvcscy6442cia049uo239e4zyx53yfozyv6uyh1zyrgw2581kk8zyd772c84x332250p2o8w1zyt1zec6yaoz0c8egy7d2a4z11111y62k5ecx888zyb35c6zy166zy9ggzy911
- xq96_yzy3573w8aegvzyzyn33zyzyvoozyweggy5442cia049uo239e4zyx331yeozyvc248yf1zyrgg0648u44ozyc222cscy0259w4t64k0101zyt11zec6yaoz0c8egy7d2a4z11111y62k5ecx888zyb35c6zy166zy9ggzy911
- xq96_yzy3573w8aegvzyzyn33zyzyvoozywgy7442cia049uo239e4zyu5lc33g8ydozyw1lr61yd1zygg0gy847576zyf2dc32heok8ceqvzyj101zec6yaoz0c8egy7d2a4z11111y62k5ecx888zyb35c6zy166zy9ggzy911
- xq96_yzy64e1msgzyzy9167y8cczyzy8isozyxgy8og444oyf33zytg011g5dy81111zyv8ghgw1yc222zyk8zyf4r0og44w1ezyl2zwgz25d9skoox24cews13szye111y1ozym1zy3cczzyb33
- xq96_yzy7eh6ozyzya63y8cczyzy742szywgggy688gps8ggye33zyw13lcya1zywooyh7zyx1zyfee4og8x664zzyegz2559ago8x2544408tegzyf3y1gggzzy3cczzyb33
- xq96_yzy7eh6ozyzya63y8cczyzy742szywgogy688gps8ggye33zyw266844y81zyzyg7zzye4e0ecgzyi3zyegz2559ago8x2544408tegzyf3y1gggzzy3cczzyb33
- xq96_yzy7eh6ozyzya63y8cczyzy742szyxoy788gps8ggye33zyx1ee4y91zyx8gyg7zyx1zye444oooy0484zyi1zyegz2559ago8x2544408tegzyf3y1gggzzy3cczzyb33
- xq96_yzy7eh6ozyzya63y8cczyzy742szyzy688gps8ggye33zyvkkiccya1zyw25kcq5yd7zyymvozyh4ro742sg8googozyl21211x11zyegz2559ago8x2544408tegzyf3y1gggzzy3cczzyb33
- xq96_yzy7eh6ozyzya63y8cczyzy742szyzy688gps8ggye33zywurq4ya1zyv16d5uru4yc7zyzg11zyg4eieediukgy0ggx1zyl136333zyegz2559ago8x2544408tegzyf3y1gggzzy3cczzyb33
- xq96_yzy8eh6ozyzyb63y8cczyzy842szyxgggy688gps8ggye33zyx13lcya1zyxooyh7zyw8k34ggzyfss8g0gxcc88k248w10621zyi11y63431zz4aaik0ggx4a8880grszy111y7161zyl111zy3oozzyb66
- xq96_yzy8eh6ozyzyb63y8cczyzy842szyxgogy688gps8ggye33zyx266844y81zyxg8gyg7zyw84dzye8s0soy18k80ca0e1110763zyi61y7573zz4aaik0ggx4a8880grszy111y7161zyl111zy3oozzyb66
- xq96_yzy8eh6ozyzyb63y8cczyzy842szyygy788gps8ggye33zyvouv076gy91zyv17fsgw12yc7zywg8c8gzyf8kmm7776ecow8s20gw231zyh110248y3131zz4aaik0ggx4a8880grszy111y7161zyl111zy3oozzyb66
- xq96_yzy8eh6ozyzyb63y8cczyzy842szyyoy788gps8ggye33zyy1ee4y91zyxg8gyg7zywoh0ohgzye888gggy08k4wimogg17043zyh131y21x3442zz4aaik0ggx4a8880grszy111y7161zyl111zy3oozzyb66
- xq96_yzy8eh6ozyzyb63y8cczyzy842szyzy788gps8ggye33zywkkiccya1zyx25kcq5yd7zyxgsmvozyh8mge84o0g0go8szyi1104253211133zz4aaik0ggx4a8880grszy111y7161zyl111zy3oozzyb66
- xq96_yzy8eh6ozyzyb63y8cczyzy842szyzy788gps8ggye33zyx4440ggy81zyx6666421y47227y07zyxbkrzyisxsswkk8ko8w1zyk6853zz4aaik0ggx4a8880grsy14s4zy111y7161y0111zyl111zy3oozzyb66
- xq96_yzy8eh6ozyzyb63y8cczyzy842szyzy788gps8ggye33zyx4440gy7gg1zyw45c2031y4708807x7zyxhvazyisw4ge80co8oczyk262zz4aaik0ggx4a8880grsy0o222ozy111y7161y0222zyl111zy3oozzyb66
- xq96_yzy8eh6ozyzyb63y8cczyzy842szyzy788gps8ggye33zyx4k4yb1zyx69ve731y3772277x7zywcs0sszyis08okkogwmmkow11zyle731x111zz4aaik0ggx4a8880grsy16u6zy111y7161y0333zyl111zy3oozzyb66
- xq96_yzy8eh6ozyzyb63y8cczyzy842szyzy788gps8ggye33zyxs4syb1zyw23aoo873y222y022w7zyxgohszyiskk4e0oggw8ssg113zylcc431w111zz4aaik0ggx4a8880grsy23zy111y7161y16zyl111zy3oozzyb66
- xq96_yzy8eh6ozyzyb63y8cczyzy842szyzy788gps8ggye33zyxurq4ya1zyw16d5uru4yc7zyxoo0g11zyg8s4ssq4s8y0ccsg1131zyi1w27d776x11zz4aaik0ggx4a8880grszy111y7161zyl111zy3oozzyb66

[Ian07]

And a list of unsynthesized Corderships from the stdin symmetry that found the xq192 - these should be easier to synthesise:

To clarify, I was not the one who originally found the xq192 - that would be wwei. Afterwards, I wrote a stdin symmetry that would search within a similar space, which ended up rediscovering the p192 (unsurprisingly) and discovering a few new lower-population Corderships.

[dani]

More interesting than practical, since both puffers are extraordinarily messy, but two switch engine pairs which puff a figure eight and pentadecathlon respectively, of course among hundreds more cells of standard ash:

Code: Select all

x = 116, y = 107, rule = B3/S23
82b4o3b2obo2b2o$81bobobobo4bobobo$84bobo2b2ob2obo$81bobo2b2obobo3b2o$
81b2o2bobo6bobo$83bo3bo2bob2o$82b2o2bobob2o2bo$82bo3b2o5bob2o$83b2ob2o
3bo2bobo$81bobob3o3b4obo$81bob4obo3b5o$81b5o5b3o2bo$81bob4obo4bo$82b7o
3bo$82b4ob7ob2o$82bob2obobo2b5o14$111b3o2$111bo3bo$112b4o$115bo38$bo2b
obo2bo3bobo$ob7o3b4o$o4b3obobo$5bob4obo2bo$o3bobo3bo3b2o$bobo2b2ob2ob
2o$o2b3ob4o2bobo$o5b2ob2ob2o$2bob2obobob2ob2o$bo2bo3b5obo$b2o3bo2b2ob
2obo$bo2bobo2b2o3b2o$4ob2ob3ob2o$2b3ob4ob4o$o3bo2bob4ob2o$obobo3bo5b2o
13$33bo$30b5o$30b3ob2o$25b2o4b4o3bo$24b2o7bob3obo$25b3o4b2ob3ob2o$25b
3o5b2ob4o$35bo!

Code: Select all

x = 119, y = 43, rule = B3/S23
82bo2b3o7b3o$83bob2ob3ob3ob2o$82b4ob2obo3bobo$83bo5bobobob3o$82b2ob3o
4b3o$b2o2bo3bo2bo2bo70bob2o2bo2b2o$2b2obobo2b6o66b3o3bobo$b2o6b2ob2obo
68b3obo2b2ob2o$3o2b4obob3o67b2obobobob5o$5b5o4bo69b3obo3b3ob2o$o3b4ob
2ob4o69bo2bob2o2b4o$2obo2bob2obobo68b6o2bo2b2obo$7bo3b2o69bob3ob3o4bo$
b2obo4b3o2b2o66b2ob3ob2obob2obo$ob6ob2ob2o71b2o2bo2bobo2bo$3ob2ob8o71b
5obobob2o$o2bob4ob2obo$obo3b2o2b3o$2b3ob3obob2obo$bo10bo$obob4o2bob2ob
o8$112b2o$111bo2bo$33bo77bo4b2o$30bo3bo77b3ob2o$29bo5bo78bo3bo$30b2ob
2o80b3o$115b3o$30bo$30b4o$31bobo$33bo$32b3o$31b2ob2o$32b3o$33bo!

[dani]

Small c/12 breeder - a pair of two interacting GPSE producing perpendicular GPSE every 32256 generations:

Code: Select all

x = 63, y = 53, rule = B3/S23
23bobo2b3o$24bob9o3bo$23bo6bobobob3o$24bo3bobob2ob4o$28b2ob2o3bo$24bo
2bo4b2ob2o$23bob2obob4o2bo$23b3obob2ob2o4bo$23bo2b3o3bo2b2obo$23b2ob2o
2b2obob3o$25b4o2b5o$23b2ob2o2b2ob3o2bo$26b2obob3obo2bo$24bob2obo2b4ob
2o$23bobo6b4o$23bobo2bo2b3obo2$2bob3obo2b2o2bo$2bo2b3ob3o3bo$b2o2b4obo
bob2o$b2ob5obo2bobo$5b2o7b2o$o3bo3b2o3bo$2bobo3b2o3b3o$3b2obobo2b3o$bo
2bo2b4obob2o$o3bob3o2bo3bo$bo2bobo2b6o$o2b4o2b2obobo$o5bo3bob2o41b3o$
2obob4ob2obo35bo2b3o2bo$ob3obo2b3o2bo33bo8bo2b2o$bobob3o2bobo2bo32bo5b
obo5bo$48b2ob2o2b2ob2o2bo$49bo7bobob2o$58bo10$30b3o$29bo2b2o$29bo2bob
2o$32bobob2o$32bobo2bo$32bo4bo$32bo3bo$33b3o!

32x21 38-cell equivalent:

Code: Select all

x = 32, y = 21, rule = B3/S23
28bo$27b3o2$12b2o6bobo4bo3bo$13bo5b5ob2o4bo$19bo3bo2bobo2bo$26bo$2bo$
2b2o9$bo$3o$3o$3b3o!

36x29 29-cell equivalent:

Code: Select all

x = 36, y = 29, rule = B3/S23
32bo$32b2o$21b2o9bo2bo$22bo$33bobo$34bo$11bo$11b2o4$bo$2bo$3o10$4b2o$
3bobo$5bo$20b2o$19b2o$21bo!

[AbhpzTa]

Small c/12 breeder - a pair of two interacting GPSE producing perpendicular GPSE every 32256 generations:

Code: Select all

x = 63, y = 53, rule = B3/S23
23bobo2b3o$24bob9o3bo$23bo6bobobob3o$24bo3bobob2ob4o$28b2ob2o3bo$24bo
2bo4b2ob2o$23bob2obob4o2bo$23b3obob2ob2o4bo$23bo2b3o3bo2b2obo$23b2ob2o
2b2obob3o$25b4o2b5o$23b2ob2o2b2ob3o2bo$26b2obob3obo2bo$24bob2obo2b4ob
2o$23bobo6b4o$23bobo2bo2b3obo2$2bob3obo2b2o2bo$2bo2b3ob3o3bo$b2o2b4obo
bob2o$b2ob5obo2bobo$5b2o7b2o$o3bo3b2o3bo$2bobo3b2o3b3o$3b2obobo2b3o$bo
2bo2b4obob2o$o3bob3o2bo3bo$bo2bobo2b6o$o2b4o2b2obobo$o5bo3bob2o41b3o$
2obob4ob2obo35bo2b3o2bo$ob3obo2b3o2bo33bo8bo2b2o$bobob3o2bobo2bo32bo5b
obo5bo$48b2ob2o2b2ob2o2bo$49bo7bobob2o$58bo10$30b3o$29bo2b2o$29bo2bob
2o$32bobob2o$32bobo2bo$32bo4bo$32bo3bo$33b3o!

26x18 equivalent (64 cells):

Code: Select all

x = 26, y = 18, rule = B3/S23
16b4ob2o$10bo2bo8bo2bo$9b2o3bo3bo4bobo$13b3ob3o2bo2bo$o12bo4b5obo$2o
16b2o$2o21b2o$o2$3b2o$2bo$2bo3bo$b2ob2o$bobo$bobo$2obo$o4bo$b5o!

[dvgrn]

Small c/12 breeder - a pair of two interacting GPSE producing perpendicular GPSE every 32256 generations...

Great find! I was hoping that there was something like this out there.

Interesting that the switch engines need two blocks to get them going in their interacting-GPSE orbit. Has a search been done for single blocks or blinkers that might happen to kick them into the same orbit? Even an impacting glider would be cheaper than two pre-blocks.

The wiki currently gives the minimum population as 29 cells, but I'm kind of expecting that to drop to 26 cells soon, or maybe less if there's a trick I don't know about, which is quite likely.

26x18 equivalent (64 cells)...

Just being stubborn, instead of copying to Golly I ran this in LifeViewer looking for the first switch engine. It sure kept me guessing, but it did finally show up at T=36232, with a century+prebeehive collision transforming a blinker.

[dani]

23-cell quadratic growth #2:

Code: Select all

x = 170, y = 215, rule = B3/S23
169bo$167b2o$168b2o142$8b3o$9bo$8bo61$40bo$39bobo$4bo35bo$3bo$2b2o$o2b
o$obo$bo!

(wasn't sure which thread to put this in so it went here)

EDIT: Hotdogpi noticed the generation 1 could have its switch engine replaced, so now we have 22-cell quadratic growth, beating the record:

Code: Select all

x = 170, y = 216, rule = B3/S23
168bo$167bo$167b3o141$9bo$8b3o$10bo62$40bo$39bobo$40bo$2b3o$o$bo$2bo$b
o$o!

EDIT2: You may notice there's a tub in the pattern instead of a block or blinker, which would take another cell off. Sadly I can't quite seem to get one of those - which would yield a 21-cell quadratic growth - to work. Here's all of the spots I've tried blocks/blinkers with apgsearch-stdin:

Code: Select all

x = 280, y = 245, rule = LifeHistory
279.C$277.2C$278.2C28$155.65B$155.65B$155.65B$155.65B$155.65B$155.65B
$155.65B$155.65B$155.65B$155.65B$155.65B$155.65B$155.65B$155.65B$155.
65B$155.65B$155.65B$155.65B$155.65B$155.65B$155.65B$155.65B$155.65B$
155.65B$155.65B$155.65B$155.65B$155.65B$155.65B$155.65B$155.65B$155.
65B$155.65B$155.65B$155.65B$155.65B$155.65B$155.65B$155.65B$155.65B$
155.65B$155.65B$155.65B$155.65B$155.65B$155.65B$155.65B$155.65B$155.
65B$155.65B$155.65B$155.65B$155.65B$155.65B$155.65B$85.120B$85.120B$
85.120B$85.120B$85.120B$85.120B$85.120B$85.120B$85.120B$85.120B$85.
120B$85.120B$85.120B$85.120B$85.120B$85.120B$85.120B$85.120B$85.120B$
85.120B$85.120B$85.120B$85.120B$85.120B$85.120B$85.120B$85.120B$85.
120B$85.120B$85.120B$85.120B$85.120B$85.120B$85.120B$85.120B$85.135B$
85.135B$85.135B$85.135B$85.135B$55.165B$55.165B$55.165B$55.165B$55.
165B$55.165B$55.165B$55.165B$55.165B$55.165B$55.165B$55.165B$55.165B$
55.165B$55.165B$55.165B$55.165B$55.165B$55.165B$55.63B3C99B$55.64BC
100B$55.63BC101B$55.165B$55.165B$55.165B$205B$205B$205B$205B$205B$
205B$205B$205B$205B$205B$205B$205B$205B$205B$205B$205B$205B$205B$205B
$205B$205B$205B$205B$205B$205B$205B$205B$205B$205B$205B$205B$205B$
205B$205B$205B$205B$205B$205B$205B$205B$205B$205B$205B$205B$205B$205B
$205B$205B$205B$205B$205B$205B$205B$205B$205B$205B$205B$205B$205B$
114BC90B$113BC126B$112B2C126B$110BC2BC126B$110BCBC127B$111BC128B$240B
$240B$240B$240B$240B$240B$240B$240B$240B$240B$240B$240B$240B$240B$
240B$240B$240B$240B$240B$240B$240B$240B$240B$240B$240B$240B$240B$240B
$240B$240B!

Note that I didn't try 4-cell patterns against all of this search space, because the pattern with the tub is already in such a position where it doesn't expand the bounding box by any amount.

EDIT3: For a much less consequential discovery, a second puffer with a pentadecathlon in its exhaust turned up:

Code: Select all

x = 68, y = 93, rule = B3/S23
33bo2b3o2b2o$31b3ob2ob2o2b2o$31bo3bo2bobo3bo$31bo2bo3bo2b2ob2o$33b4obo
b3o2bo$35b5obo2b3o$32b4o2bobo2bo$31b4o3bobo4bo$31b2ob2obob4ob3o$31b2o
4b2o3bob2o$32bob2ob3obob4o$31b3obob2ob3obobo$31b2o2bo2bob3o3bo$31bob3o
b5obo2bo$36b2obo2bob3o$33bob2o3bo2bo2bo11$64bo$61b2o$61b2ob2o$63bo$61b
2o2$62b2o2$65bo$62bobo$63bo2b2o15$4b2ob3o5bo$4b2ob4obobo$o2bo3b2obo4bo
$o3bo2b3obobo$obobo3bo2b3o$b2ob2o2b4obobo$6bob3o3b2o$3o6b2obobo$2bobob
5obo$o2b6o2b3obo$b2o2bo3bobo2bo$3b2ob4ob3obo$o6bobo3bobo$4ob4o5bo$ob2o
2b2o2bobob2o$2bob2o2bo2b3o9$30b3o$30bo$30b2ob2o$32b3o$32b3o3$32b3o$35b
o3$29bo3bo$33bo3bo$31bo$31b2o2$31b2ob2o$33bo!

EDIT4: Expanded the search area greatly (and updated the above field to reflect this) but it only found a single configuration where both engines survive, and just produces an ordinary yl1152.

EDIT5: I thought of another potential design for a smaller-bounding-box 22CQG:

Code: Select all

x = 140, y = 140, rule = LifeHistory
140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B
$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$
140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B
$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$
140B$140B$140B$140B$140B$140B$81BC58B$79B2C59B$78BC61B$78BC61B$78BC
61B$140B$140B$140B$140B$140B$140B$88BC51B$86B2C52B$87BC52B$140B$140B$
140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B
$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$71B2C67B$70BC69B$
71B3C66B$140B$73B2C65B$74BC65B$140B$140B$140B$140B$140B$140B$140B$
140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B
$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B$140B!

Unfortunately, no placement of a block or a blinker in the blue box becomes quadratic.

[dani]

Here's another small c/12 breeder from sep_stdin. It's more regular, producing a GPSE every 2688 generations, and even runs decently well in LifeViewer:

Code: Select all

x = 44, y = 76, rule = B3/S23
10bobo2bo2b3o2bobo$10b2ob2o2bobo3b2o$13b6o2b5o$11b4o2bob4o2bo$10bobo2b
o2b3obo2bo$10bo5b4o2bob2o$10bob3o2bobo2b2o$10b2obob2o2bo2b2o$13b2o3bob
obo2bo$10b12ob2o$12b2obo2bo2bobo$10b2o2b3o2bobo3bo$11b2obo2b3o2b2o$10b
o2bobo2b3ob4o$11b3obob3o2b4o$10b2o3b2o4b4o15$39bobo$39bo2bo$39bo2bo$
42bo$41b3o6$7bob2o2b3o$3bo2b2o3b3obo$o3b4o2b2ob2o$2bobobo7bo$obobo6b3o
$bo2b2ob2ob5o$3b2o2b3o2bob2o$obo2bo3bob2ob2o$o5b2o4b2obo$2ob2obobo4bo$
bob2obob3o2b3o$o2b3obob2obo$b2o4b2ob2obo$bo2bo4bob4o$10bob3o$3bobob4ob
4o14$27bo$28b5o$27bobo2bob3o$30bo6bo$27bo3b2o4bo$26bobo3bo4bo$27bo6b3o
!

Unfortunately, the relative timing of each component switch engine is worse, being offset 21 generations. I'll have a look tomorrow.

[Rocknlol]

26x18 equivalent (64 cells)...

Bounding box reduction of this to 23x15 with 71 cells:

Code: Select all

x = 23, y = 15, rule = B3/S23
8b2o3b2obobobobo$9bo4bo2bo4bo$5bo8bo4b2obo$2o2bo7b2o2b3ob2o$o4bo8b2o5b
o$bo2bo8bo5b4o$b3ob2o14bo$4b2o13bo$19bo$o2bo2bo12bo$o2bo2bo$3o2b2o$8bo
$b2o3bo$5obo!

For throughness' sake, here's a 23x16 equivalent with only 70 cells:

Code: Select all

x = 23, y = 16, rule = B3/S23
8b2o4b3ob2o2bo$9bo5bo3bob2o$bo12bobobobobo$o11bo2b2o4b2o$obo9b2o6bobo$
o16bo$15bo2b2ob2o$obo2b3o8bo$2bo19bo$bobobo$obo2bo$2b3obo$o2bo2bo$o5bo
$obo3b2o$3obo2bo!

ED(T: Managed to squeeze two more rows out of it to get a 23x13 (110 cells):

Code: Select all

x = 23, y = 13, rule = B3/S23
o3bo2b4o4bo6bo$bob4o2bo2bo2bob4obo$2o7bobobobob2o3bo$2bo6bo3bo4bo$4b2o
bob2o2bo4bobo$2b3o4bobo2bo2bobobo$b2obob2o2b3o2bo6bo$3bobobobo3bo3bobo
bo$bo3b2o4bo4bo2b3o$bo2bo5bo7b2ob2o$ob4obobo5bobo$o2bobo2b4o8bo$3o2bob
3o10bobo!

EDIT 2: Two of the bottom-right cells can be deleted for a 23x13 108-cell quadratic growth pattern:

Code: Select all

x = 23, y = 13, rule = B3/S23
o3bo2b4o4bo6bo$bob4o2bo2bo2bob4obo$2o7bobobobob2o3bo$2bo6bo3bo4bo$4b2o
bob2o2bo4bobo$2b3o4bobo2bo2bobobo$b2obob2o2b3o2bo6bo$3bobobobo3bo3bobo
bo$bo3b2o4bo4bo2b3o$bo2bo5bo7b2ob2o$ob4obobo5bobo$o2bobo2b4o8bo$3o2bob
3o!

[TYCF]

Other beehive Puffers.

Code: Select all

x = 135, y = 97, rule = B3/S23
85bo$84b3o15bo$83b2ob2o14bo$82b2o3bo7b4o3bo$83bobobobo5bo3bo$84b2obo2b
o4b2o3bo$87b2obo7b3o$88b2o10b2obo6b2o$101b3o6b2o$102bo3$110b2o$110bob
o$110bo3b3o$110bobo3b4o$110bobo3b4o$109b3ob3o$110b2o$90b2o13b2o$90b2o
13b2o$95b3o$94bob2o6bo$77b3o14bob2o5bobo$76bo3bo22bobo$67bo7bo4bo15bo
bo$66b3o6bo2bobo15b2o$65b3obo5b2obobo15bo$64bo3bo8b2obo2bo$63b2o2bo2b
o8b2o2bo$30bo31b3o2b4o9b3o$29b2o33bo3bo2bo$28b5o31bo6bo$27bo19bo18bo2b
o$26b2o5bo13bo20b2ob2o$25b3ob2o8bobo5bo20bo$26bobob2o2b2o3bobo$27bo2b
o2b2o5bo$29b2o45b2o$31b2obo20b2o18bo2bo$34bo12b3o5b2o19b2o$45b2o2bo$46b
3o$25b3o11bo7bo$24bo2bo10bobo$23bo4bo9bobo$23bo2b3o10bo44b2o$23bo5bo53b
o2bo$24b7o53b2o$30bo$3bo26bo$2b3o23b2o17bo$b2o2bo40bobo$2o2b2o40bobo$
b2o44bo44b2o$2b5o84bo2bo$6b2o84b2o$4bo2bo$5b2o12b2o$19b2o3$22b2o76b2o
$3b3o15bo77bo2bo$3bobo15b3ob3o72b2o$3bo17b3o2bo$3bo2bo18bo$4bobo$5b3o
$7b2o$b3o4b2o98b2o$7b2o14b2o82bo2bo$22bo85b2o$19b2o2b2o$19b2o3$17bo$7b
2o3b7o97b2o$7b2o3bo4b2o76b2o18bo2bo$13bob2o78b2o19b2o$17bo$14bo2bo$14b
o2bo$14b3o$15b2o$15b2o107b2o$15b2o106bo2bo$124b2o6$132b2o$131bo2bo$132b
2o!

Code: Select all

x = 80, y = 89, rule = B3/S23
 34bo2$30bo7bo$30bo8bo2b3o$29bo4b2o3bo2b3o$30bobo6bo2b2o2bo$30bob2o10bo bo$44b3o$35bo18b2o$54b2o3$38bo$37bobo$37bobo$38bo$25bo36b2o$24b3o35b2o $24bo2bo$24b3o$24b3o19bo$23bob2obo16bobo$24bo2b3o15bobo$24b4ob2o15bo$b 3o21bob3o40b2o$bo2bo22b3o40b2o$4bo23b2o$b2o15b2o$obo15b2o4b2o$bo2b3o 17b2o$2b2o2bo15bo2bobo$2bo3bo15b3o2bo32bobo$3bobo10bobo3b2o35bo$5bo12b o41bo2bo$2bo2bo16bo39bobo$2bo13b3o46bo$17b2o45b3o$b2o2bo11b2o45bo$2b3o 13b2o42b2o$19bo44bo$62bo2bo$17bo39bo4bobo$16bobo37b2o4bo$16bo38bob2o$ 15bo3b2o34bo2b2o10bo$16bo2b2o32b4ob3o8bobo$16bo35bo2bobo2b2o7bobo$6b2o 45bobobob3o8bo$6b2o7b2o2b2o33b2ob3obo$15b6o12b3o18b4o2bobo$18bo13bo24b o3bo$32bo3bo20bo3bo$30b2o3b2o20bo2bo17bo$29bo2bobo2bo39bobo$29bo2bobo 2b2o38bobo$14b2o15b2ob2o2bo39bo$14b2o16bo4bo$35b2ob2o$34b4o$35b2o13b2o $50b2o3$35bo15bo6bo$36bo14bo2b6o$35bo14bo8bo$51b2obob3o$51b2obob2o$53b o$40b2o$33bo5bo2bo$33bo5bo2bo$33bo4b2ob2o8b3o$39b2o13bo$51bo2bo$52b2o 2$45bo$43bobo$38b2o2bo2bo$38b2o3b2o$43b2o2bo$44b2obo$43b2o3bo$43bo2bob o$43bo4bo2$45bobo$45bobo!

Also you can make beehive puffers by attaching this to a Block puffer.( It is also a block Puffer. )

Code: Select all

x = 96, y = 129, rule = B3/S23
7$4b2o$4b2o7$12b2o$12b2o7$20b2o$20b2o7$28b2o$28b2o7$36b2o$36b2o7$44b2o
$44b2o7$52b2o$52b2o7$48bo2$44bo7bo$44bo8bo2b2o$43bo4b2o5bo2bo$44bobo6b
ob3obo$44bob2o6bo3b2o2$49bo4$52bo$51bobo$51bobo$52bo$39bo$38b3o$38bo2b
o$38b3o$38b3o19bo$37bob2obo16bobo$38bo2b3o15bobo$38b4ob2o15bo$15b3o21b
ob3o$15bo2bo22b3o$18bo23b2o$15b2o15b2o$14bobo15b2o4b2o28bo$15bo2b3o17b
2o27bobo$16b2o2bo15bo2bobo25bobo$16bo3bo15b3o2bo26bo$17bobo10bobo3b2o
$19bo12bo$16bo2bo16bo$16bo13b3o$31b2o43bo$15b2o2bo11b2o42bobo$16b3o13b
2o41bobo$33bo42bo2$31bo$30bobo$30bo$29bo3b2o49bo$30bo2b2o48bobo$30bo52b
obo$20b2o62bo$20b2o7b2o2b2o$29b6o$32bo5$28b2o$28b2o!

[dvgrn]

Other beehive Puffers.

All of these can be reduced by one switch engine, by substituting in the two-engine block puffer that simsim314 used in the adjustable 4-engine Cordership:

Code: Select all

x = 296, y = 117, rule = B3/S23
24b2o$24b3o$24b2obo$28bo13bo$20bo3b2o3bo12bo187b2o$30bo11bo187b2o$27bo
bo$27bo$22bo4bobo13bo$41b2ob2o4b2o$26b4o20b2o$26b2o12bobo$40bo3bo193b
2o$40b2o2bo9b2o182b2o$41b3o9bo$42bo5bo2bo$48bo2b5o$48b2ob4o$54b2o$54b
3o$54b3o189b2o$30b2o12bo201b2o$30b2o10b2ob2o$46bo$42bo3bo$43b3o2$32b2o
$18bo9bo3b3o219b2o$18b4o5bobo2bo2b2o89bo127b2o$18bo3bo5bo3bo2b3obo85b
3o$35b4o85b3obo14bo$20b3o10bobo87b2o3b2o6bo2bo3bo$34b2o86b2obo2b2o6bo
3bo2bo$123b2obob2o5bo$40b3o81b3ob2o6bob2o$102b3o21bo4bo130b2o$102bobo
22b4o20b2o109b2o$102b3o24bo12bob2o5b2o$44b2o72b2o22b3o$44b2o71bo2b2o
21bo$43bo2bo57b2o11b2ob2o$43bob2o55b2ob2o14bo$40b3o59b2o2b2o10b2o$41b
2o58b2o3b2o11bo7b2o141b2o$23b2o9b2o2bo63b2o2b2o19b2o141b2o$23b2o5b2obo
4b2o63bobo$34bobob2o92b3o$36b2o2$119b3o$116b3obo$117b2ob2o36b2o118b2o$
31b2o84b2ob2o36b2o118b2o$31b2o86bo2$107b2o$107b2o3$166b2o118b2o$158bo
7b2o110bo7b2o$157bobo117bobo$28b3o125b2ob2o115b2ob2o$27bo3bo10bo72b2o
40bo2bo116bo2bo$28b2o15b2o68b2o42b3o117b3o$30b2ob2o124bobo117bobo$32b
2o126b2o118b2o$160b2o118b2o4$38bo119bo119bo$37bobo117bobo117bobo$37bob
o117bobo117bobo$24b3o11bo119bo119bo$25bo$25bo2bo$25bo2bo$26bobo$46bo
119bo119bo$2bo42bobo117bobo117bobo$2bo42bobo117bobo117bobo$2bo43bo97bo
bo19bo97bobo19bo$3b2o138b2ob2o115b2ob2o$3b3o19b2o117bob2o116bob2o$3b2o
143bo119bo$18b2o127bo119bo$18b2o34bo92bo26bo92bo26bo$53bobo79b2o36bobo
79b2o36bobo$23b3o27bobo65bo9bo3b3o35bobo65bo9bo3b3o35bobo$2bo19bo2bo
28bo66b4o5bobo2bo38bo66b4o5bobo2bo38bo$bobo17bo3bo95bo3bo5bo3bo2bo102b
o3bo5bo3bo2bo$bo2bo18bo115bo119bo$19bo2bo100b3o10bobo104b3o10bobo$18bo
118b2o118b2o$o2bo$2ob3o$2b2o2bo11b3o$3bo2bo11bobo$3bobo14b2o$18bo2bo
120b2o118b2o$19b2o124b2o118b2o$19bo122b3ob2o114b3ob2o$15bo130bo119bo$
16b2o118b2o4bo3bo109b2o4bo3bo$14bobo121bo3bob2o112bo3bob2o$6b2o6bo111b
2o6bo2bo108b2o6bo2bo$6b2o4b2o112b2o5bo12bobo97b2o5bo12bobo$13bobo130b
2o118b2o$14b2o131bo119bo5$14b2o118b2o118b2o$14b2o118b2o118b2o!

That's still five engines, though. It seems as if four- or three-engine p96 c/12 diagonal beehive puffers must be possible -- possibly even two-engine ones? -- but I'm not finding any known ones offhand. What am I missing?

[TYCF]

Like this?

Code: Select all

x = 82, y = 92, rule = B3/S23
29b2o$30bo2bo4bo$27bo2b3obo2bobo$27bo2bo4b4o$27bo2bo$30bo6bo$5bo23b2o
bo$37bo11b2o$bo7bo25b2o12b2o$bo8bo2b3o$o4b2o3bo2b3o$bobo6bo2b2o2bo$bo
b2o10bobo$15b3o17bo$6bo18b2o7bo$25b2o8bo21b2o$57b2o$30b3o2$53bobo$56b
o$34b3o12bo6bo$35b2o11bo8bo$47bo3b6o$26bo23b4obo$12bo13bo19bo$5b2o6b2o
4bo2bo3bo8bo9bo3bo2bo$5b2o11bo6bo5bo3bo8bo6bob2o$32bo2bo7bo9b2o$18bo6b
o7bo8b2o4bo$44b4obob2o11b2o$23bobo38b2o3$13b2o$13b2o3$55bobo$54bo2bo$
55bobo3$57bo$56bob2o$56bob2o$55bo3bo$56b4o$56b3o2$64bo$47bo15bobo$47b
o15bobo$49bo5bo8bo$48bo6bobo$47bo3bo2bo$48bo2bobob2o$53bob2o$72bo$23b
3o45bobo$32bo38bobo$25b2o5b3o37bo$25b4o4bo$25b2ob3ob2o$30bobo$44b2o$44b
2o34bo$79bobo$53b2o24bobo$44bo10bo24bo$42b3o3bo4b2o$42b2o4b2o$42b2o2b
o3bo$44bob4o$34b2o10b3o$37bo$27bo4b2o4b2o$27bo3b2o6bo$27bo2b3o2b2o2bo
$35b2obo9b3o$48bo$45bob2o$39b2o4b3o$46bo2$32b2o8bo$32b2o5bo2bo$41b2o$
42bo$44bo$42b3o$43bo!

[dvgrn]

Like this?

Yup, that looks like the middle puffer in the pattern you quoted.

The script that praosylen wrote to find the two-engine Cordership seems like it might be able to help find four-engine puffers, anyway. One of the results that Saka posted can be turned into a 4-engine p96 boat puffer (left, below) -- but we already have a known two-engine boat puffer from the Stable Storage Spaceship (right).

Code: Select all

x = 173, y = 78, rule = B3/S23
139bo$38b3o98bo$139bo$42bo100bo12bo$38bo3b2o12bo82b3o2bo10b2o$27b3o10b
obo13b2o80bo4bo11bo$26bo3bo6b3o16bobo79bo3bo$25bo4bo8bo99b3o$24bo3bo
26b2o99b3o$24bo2bob3o6b2o16b2o96b2ob3o$24bo7bo6b2o14bo2bo79bobo13b2o2b
o$26bo3bobo6bo15b3o5b2o73bobo13b2ob2o4b2o$26bo3bob2o5b2o22b2o73bobo14b
obo5b2o$28b3ob2o4b2o98bobo15bo$139b2o4$28b2o102b2o30b3o5bo$28b2o6b3o
15b2o9bo5b3o44bo9bo3b3o18b3o7bo3bo4bo$29bo12b2o9b3o8b3o51b4o5bobo2bo
19bo3b2o4bo5bo3bo$41bo2bo8bo2bo6b2ob2o50bo3bo5bo3bo2bo25bo3bo3bo$29bo
12bobo9b3o5b3ob3o67bo15bo8bo2bobo2bo$43bo10b3o6b2ob2o52b3o10bobo17bo3b
o3bobo3bobo$64b3o67b2o18b3o$27bo5b3o29bo$27bo7bo9b2o17b2o78bo20bo$27bo
5bobo8bo2bo16b2o78bo19b3o$33b2o10b2o16bobo78bo18bo2bo$64bo99bo5$32b2o
99b2o$32b2o101bo$123b2o6bo2bo$123b2o5bo4$62bo99bo$25bo35bobo97bobo$24b
3o34b2o98b2o$23b2ob2o103b2o$22b2o3bo103b2o$23bobobobo$24b2obo2bo$bobo
23b2obo$o2bo24b2o40bo99bo$bobo65bobo97bobo$17b2o50b2o98b2o$17bobo$3bo
13b3o$2bob2o11bo2bo$2bob2o12bo$bo3bo12bo7b2o$2b4o20b2o$2b3o15bo$17bo
13b3o$17bo2bo$16b3o$16b3o$16bo2bo$17bobo$17b3o3$6b2o$6b2o7$14b2o$14b2o!

[TYCF]

Code: Select all

x = 1577, y = 897, rule = B3/S23
281$528.A$527.2A$257.3A266.5A$257.A.A265.A19.A$256.A3.A263.2A5.A13.A$
256.A3.A262.3A.2A8.A.A5.A$256.A17.2A248.A.A.2A2.2A3.A.A$256.A4.2A11.
2A249.A2.A2.2A5.A$256.A6.A263.2A$257.A5.A265.2A.A20.2A$257.2A258.2A
13.A12.3A5.2A$259.A3.A253.3A23.2A2.A$260.A.A10.2A242.2A.A23.3A$274.A
246.A13.A9.A$247.3A23.3A6.2A229.A3.2A3.A12.A$247.A.A7.3A22.2A239.A11.
A$247.A.A6.A3.A13.A245.A.A$247.A4.2A3.A2.A14.A244.A40.2A$246.3A3.2A5.
2A13.2A239.A4.A.A13.A24.2A$252.A281.2A.2A$248.4A4.A262.4A$249.2A5.A
262.2A12.A.A$249.A6.A276.A3.A$533.2A2.A$250.A283.3A16.2A$248.A.A284.A
17.A15.2A$247.4A300.A.A15.2A$247.3A301.2A$249.A$278.A$279.A$279.A243.
2A$523.2A36.2A$274.A.A284.A15.2A$269.A5.A283.A.A15.2A$268.A.A288.2A$
252.2A14.A2.A$252.2A15.2A2$531.2A$531.2A36.2A$569.A15.2A$277.A289.A.A
15.2A$276.A.A288.2A$260.2A14.A2.A$260.2A15.2A3$577.2A$577.A15.2A$285.
A289.A.A15.2A$284.A.A288.2A$268.2A14.A2.A$268.2A15.2A3$585.2A392.3A$
585.A15.2A376.A.A$583.A.A15.2A375.A3.A$583.2A393.A3.A$276.2A700.A17.
2A$276.2A700.A4.2A11.2A$536.3A439.A6.A$545.A433.A5.A$538.2A5.3A45.2A
384.2A$538.4A4.A46.A15.2A370.A3.A171.3A$538.2A.3A.2A44.A.A15.2A371.A.
A10.2A160.3A$543.A.A45.2A403.A161.A$272.A696.3A23.3A6.2A153.2A$969.A.
A7.3A22.2A154.A$268.A7.A692.A.A6.A3.A13.A162.A14.2A$268.A8.A2.2A687.A
4.2A3.A2.A14.A176.2A109.3A$267.A4.2A5.A2.A318.2A365.3A3.2A5.2A13.2A$
268.A.A6.A.3A.A273.A43.A15.2A355.A308.A5.A$268.A.2A6.A3.2A273.A41.A.A
15.2A351.4A4.A178.2A124.7A12.A$599.2A370.2A5.A178.2A126.A17.2A$273.A
291.2A404.A6.A179.A126.A3.A13.2A$547.2A16.2A9.A581.A15.A109.A17.2A.A$
550.A24.A396.A185.A16.2A5.2A101.A18.3A$540.A4.2A4.2A26.A390.A.A184.A
15.A.A6.2A102.A4.A11.A.2A$276.A263.A3.4A32.A28.2A358.4A200.A112.A4.A
11.2A$275.A.A262.A2.3A3.A3.A24.A.A28.A15.2A342.3A201.A111.2A.A.A12.A
6.2A$275.A.A269.2A24.A5.2A26.A.A15.2A344.A194.A7.2A108.A.A23.2A$276.A
270.3A23.A33.2A391.A164.A.A117.A$263.A285.4A448.A145.5A13.A.A$262.3A
286.A449.A143.2A5.2A12.A127.A$262.A2.A282.A5.A590.A7.A4.2A30.2A101.A.
A$262.3A283.A5.A441.A.A146.2A7.A4.2A29.2A86.A7.A6.A.A$262.3A19.A263.A
5.A62.2A372.A5.A149.2A6.A3.2A13.A.A100.3A5.A.A6.A$261.A.2A.A16.A.A
291.2A38.A15.2A355.A.A157.A23.A.2A98.2A.4A2.A2.A11.2A16.2A$262.A2.3A
15.A.A264.3A23.A2.A35.A.A15.2A339.2A14.A2.A156.A4.A17.2A102.3A2.A16.A
18.2A$262.4A.2A15.A292.A.A35.2A357.2A15.2A134.A23.2A.A18.2A3.2A98.A2.
2A2.A13.A3.2A$239.3A21.A.3A310.A544.4A.2A5.3A34.2A4.2A102.2A.A.A11.A
5.A$239.A2.A22.3A854.2A.3A.2A4.3A37.2A109.A12.A5.A$242.A23.2A855.A.3A
.A7.2A9.A26.2A21.2A55.A6.2A$239.2A15.2A866.A3.4A4.2A10.A24.A24.2A54.A
.A3.A3.A35.2A.2A$238.A.A15.2A4.2A28.A260.2A70.2A372.A127.2A.3A15.3A
21.A4.A75.A3.A.A3.2A37.A$239.A2.3A17.2A27.A.A259.2A21.2A47.A15.2A355.
A.A127.5A14.3A22.A4.A11.3A62.A.A2.A.A.2A61.2A$240.2A2.A15.A2.A.A25.A.
A278.2A.A47.A.A15.2A339.2A14.A2.A127.A17.3A24.A14.3A63.A3.A2.2A62.2A$
240.A3.A15.3A2.A26.A279.4A2.A44.2A357.2A15.2A146.A42.A68.A4.A$241.A.A
10.A.A3.2A312.2A.A613.2A67.A2.A10.2A$243.A12.A319.A615.A69.A11.2A$
240.A2.A16.A313.A.A15.2A597.A$240.A13.3A334.A.A41.2A506.3A$255.2A43.A
260.2A11.3A15.A37.2A3.2A370.A134.A133.2A$239.2A2.A11.2A42.A.A259.2A
67.2A17.2A355.A.A133.A3.A128.2A57.2A$240.3A13.2A41.A.A347.2A339.2A14.
A2.A132.3A.A42.2A90.2A51.2A$257.A42.A689.2A15.2A125.A5.2A47.2A91.2A$
1131.2A4.A10.A41.A87.5A$255.A870.2A5.2A3.A9.A.A39.A78.A7.2A.A$254.A.A
869.2A7.A.2A9.2A40.A67.3A7.A2.A7.A$254.A317.2A24.2A589.A67.A.A.2A5.A
3.A$253.A3.2A49.A263.A.A22.A.A657.A.A.2A5.A3.A$254.A2.2A48.A.A263.A
24.A25.A32.2A598.A3.A5.2A3.A4.3A62.2A$254.A52.A.A313.A.A31.2A339.2A
198.A59.A.A7.A2.A4.2A2.A61.2A$244.2A62.A314.A2.A371.2A197.A.A59.A15.A
3.2A$244.2A7.2A2.2A331.2A32.2A553.5A13.A.A74.A2.3A$253.6A330.A.A542.
2A41.2A5.2A12.A74.A2.2A$256.A333.A543.2A41.A7.A4.2A81.A2.A$1177.2A7.A
4.2A81.A2.A55.3A$1179.2A6.A3.2A69.2A13.A$644.2A19.2A515.A79.2A11.A.A
53.A5.A$644.2A19.2A327.A187.A4.A18.A124.7A$252.2A905.A23.2A.A18.A.A
65.A59.A$252.2A736.A7.A156.4A.2A5.3A35.A.A63.A.2A58.A3.A$655.2A333.A
8.A2.2A150.2A.3A.2A4.3A36.A63.A2.2A57.A$600.2A38.A14.2A332.A4.2A5.A2.
A150.A.3A.A7.2A9.A90.2A.A58.A$600.2A38.A349.A.A6.A.3A.A150.A3.4A4.2A
10.A90.2A.2A58.A4.A$585.2A53.A349.A.2A6.A3.2A153.2A.3A15.3A89.A.A59.A
4.A$585.2A86.2A485.5A14.3A91.A59.2A.A.A$592.2A79.2A320.A165.A17.3A32.
A117.A.A$592.A.A584.A33.A.A117.A$593.A55.2A562.A.A$648.A2.A562.A127.A
$624.2A22.A.A347.A342.A.A$623.A.A23.A17.2A328.A.A175.3A148.A7.A6.A.A$
624.A42.2A328.A.A174.A150.3A5.A.A6.A$593.2A86.2A315.A175.A3.A145.2A.
4A2.A2.A$592.A2.A36.2A47.2A302.A188.3A.A146.3A2.A$593.A.A36.2A350.3A
179.A5.2A152.A2.2A2.A$577.2A15.A389.A2.A175.2A4.A10.A149.2A.A.A$577.
2A405.3A171.2A5.2A3.A9.A.A151.A15.A$606.2A376.3A19.A151.2A7.A.2A9.2A
121.A6.2A37.A.A$606.2A375.A.2A.A16.A.A294.A.A3.A3.A36.A.A$644.2A338.A
2.3A15.A.A293.A3.A.A3.2A37.A$571.3A70.2A10.A32.2A293.4A.2A15.A295.A.A
2.A.A.2A$655.A.A31.2A270.3A21.A.3A313.A3.A2.2A$655.A2.A302.A2.A22.3A
317.A4.A$567.2A10.2A75.2A306.A23.2A318.A2.A10.2A$567.2A9.A2.A379.2A
15.2A186.2A142.A11.2A$579.2A18.2A359.A.A15.2A4.2A28.A151.2A$598.A.A9.
A350.A2.3A17.2A27.A.A$575.A23.A9.A.A350.2A2.A15.A2.A.A25.A.A308.2A$
574.A.A32.A.A64.2A284.A3.A15.3A2.A26.A308.2A$568.A5.A.A15.2A16.A65.2A
285.A.A10.A.A3.2A345.2A$567.A.A5.A16.2A371.A12.A351.2A$567.A.A392.A2.
A16.A343.5A$568.A118.2A273.A13.3A338.A7.2A.A$621.3A8.2A38.A14.2A288.
2A43.A283.3A7.A2.A7.A$632.2A38.A288.2A2.A11.2A42.A.A281.A.A.2A5.A3.A$
600.3A69.A289.3A13.2A41.A.A281.A.A.2A5.A3.A$979.A42.A282.A3.A5.2A3.A
4.3A$625.A680.A.A7.A2.A4.2A2.A$625.A351.A329.A15.A3.2A$625.A55.2A293.
A.A343.A2.3A$680.A2.A292.A344.A2.2A$656.2A22.A.A292.A3.2A49.A290.A2.A
$655.A.A23.A294.A2.2A48.A.A290.A2.A$656.A319.A52.A.A278.2A13.A$625.2A
339.2A62.A279.2A11.A.A$624.A2.A36.2A300.2A7.2A2.2A$625.A.A36.2A309.6A
340.A$609.2A15.A351.A340.A.2A$609.2A707.A2.2A$638.2A679.2A.A$638.2A
679.2A.2A$676.2A642.A.A$603.3A70.2A10.A285.2A345.A$687.A.A284.2A$687.
A2.A$599.2A10.2A75.2A$599.2A9.A2.A$611.2A18.2A$630.A.A9.A$607.A23.A9.
A.A$606.A.A32.A.A$600.A5.A.A15.2A16.A$599.A.A5.A16.2A$599.A.A$600.A$
653.3A8.2A$664.2A$632.3A2$657.A$657.A$657.A2$688.2A$687.A.A$688.A$
657.2A$656.A2.A$657.A.A$641.2A15.A$641.2A$670.2A$670.2A2$635.3A3$631.
2A10.2A$631.2A9.A2.A$643.2A18.2A$662.A.A9.A$639.A23.A9.A.A$638.A.A32.
A.A$632.A5.A.A15.2A16.A$631.A.A5.A16.2A$631.A.A$632.A$685.3A2$664.3A
2$689.A$689.A$689.A5$689.2A$688.A2.A$689.A.A$673.2A15.A$673.2A4$667.
3A3$663.2A10.2A$663.2A9.A2.A$675.2A2$671.A$670.A.A$664.A5.A.A15.2A$
663.A.A5.A16.2A$663.A.A$664.A!

[dvgrn]

What about this?

[messy period 384 c/12 puffer]

This?

[p96 beehive-and-loaf puffer]

The first of the above patterns is the kind of thing that shouldn't generally be posted one pattern at a time, on this thread or any thread. There are too many millions of similar messy puffers, which means that no specific one of them is any more interesting than any of the others. This one has too much mess to clean up, given the number of switch engines used already.

If you make a big enough collection of puffers, they could be posted in a single message as a collection, as Saka did here for example. But even there, it would be better to filter out the really messy stuff.

Your second example can be adapted into a clean 4-engine loaf puffer. I'm not sure if there's a known period-96 loaf puffer with less than four engines, so that might be good to have here as a placeholder at least:

Code: Select all

x = 78, y = 70, rule = B3/S23
47b3o$47bo2bo$50bo$47b2o15b2o$46bobo15b2o$47bo2b3o$48b2o2bo$48bo3bo$
49bobo10bobo$51bo12bo$48bo2bo16bo$37b3o8bo13b3o7b2o$63b2o7b2o$38bo8b2o
2bo11b2o$38b2ob3o4b3o13b2o$37bob4o22bo$37bob3o$38b3o5bo$39bo6bo$46bo2$
36b2ob2o$36b2ob2o$37bob2o25bo$38b2o25bo$65bo2$67b3o$67bobo$65b4o$65b2o
$25b3o31bo5bo$58bobo$29b2o27bo2bo$31bo27b2o$b3o21b4obo$2bo22b5o$2bo2bo
$2bo2bo$3bobo19bobo39bo$18b2o5bobo38bobo$18b2o6bo39bo2bo$25bobo39b2o$
26b2o$2bo23bo$bobo$2bo$19bo55bo$19bo6b2o46bobo$4o22b2o46bo2bo$2o3bo13b
o55b2o$bo4bo11bobo10b3o$3bob2o11bo$4bo15b2o$21bo$18b3o$19b2o$16bo$16b
2o$16b2o$6b2o6b2o$6b2o4b2o$12b2obo$14b2o5$14b2o$14b2o!

Other Places to Look?
It occurred to me that another place to look for p96 puffers would be Catagolue. But it turns out there's only one entry in the p96 section, at least in the C1 (non-symmetric) census -- and it's rather messy:

Code: Select all

x = 110, y = 63, rule = B3/S23
13$43b5o7bo$41b2o5b2o4bobo$41bo7bo4bo$41b2o7bo3bo2bo$43b2o6bo3b3o$46bo
$28b3o15bo4bo13b2o$29bo17b2obo14b2o$29bo2bo$29bo2bo$30bobo4$73b2o$29bo
43b2o$28bobo15bo$29bo15b3o$44b2ob2o$45b3o$27b4o15bo$27b2o3bo$28bo4bo
20bo26b2o$30bob2o20bo9b2o15b2o$31bo22bo9b2o2$48b2o$47bo2bo$47bobo$48bo
$89b2o$33b2o37b2o15b2o$33b2o37b2o2$56b2o$55bo2bo$55bobo$56bo$97b2o$41b
2o37b2o15b2o$41b2o37b2o2$64b2o$63bo2bo$63bobo$64bo$105b2o$49b2o37b2o
15b2o$49b2o37b2o!

It seems like there must be a huge collection of these kinds of puffers already in existence, maybe from way back in the jslife era, so I hope someone can point it out if it exists.

[dvgrn]

Others, not really messy...

Those beehive puffers have already been discussed. Please don't re-post known patterns, especially without specifically saying that they're duplicates from elsewhere. These patterns in particular really shouldn't be re-posted, since they use 3-engine block puffers where 2-engine ones would work fine. And the two puffers are really just different phases of the same exact puffer, except with two more blocks between the two parts.

Please be more careful to avoid duplications like that. You can end up wasting a lot of people's time -- everyone who comes to this thread looking for the smallest known Corderpuffers of various types might end up reviewing all of your posted patterns, but then they wouldn't find anything new or useful.

Also, can you please review the forum rules, including #3(d) and #4?

You've been making a lot of posts very quickly, and also quoting entire previous posts without trimming them down at all. Doing this at the scale that you've been doing recently... tends to make threads like this one very difficult for other people to read.

Please slow down. A good rule of thumb might be to make a dozen discoveries for every one that you decide to post here. People tend to start reporting "noisy" posts around here, and then I have to figure out whether to issue a warning, delete the posts, etc., etc. -- and I'd always prefer to not have to do any of that!

[EvinZL]

A 4-engine beehive puffer is easy enough to make:

Code: Select all

x = 81, y = 73, rule = B3/S23
54b3o$53bo3bo$52bo3b2o$53bo$54b4o$56bob2o$56bo2bo$57b2o12b2o$71b2o3$56b
o$56bo$55bobo$56bo$56b2o21b2o$56b3o20b2o2$54bo4b2o$54bo5bo$54bo5bo$59b
o$48bo$47b3o$46b2o2bo$45b2o2b2o$46b2o$47b5o$51b2o$49bo2bo$50b2o5$26b3o
$25bo$24bo4b2o$23bo3bo9b2o$23bo2bo4bo4bo2bo$23bo3bo3bo5b2o$24b2obob3o
$4bo22bo$3b3o22b4o$2b3obo14bo8b2o$b2o3b2o6bo2bo3bo$2obo2b2o6bo3bo2bo23b
2o$b2obob2o5bo30bo2bo$2b3ob2o6bob2o27b2o$4bo4bo$5b4o$7bo12bob2o$20b3o
$21bo$53b2o$52bo2bo$53b2o6$9b2o50b2o$9b2o49bo2bo$61b2o6$17b2o50b2o$17b
2o49bo2bo$69b2o!

A random search has not found any 3-engine ones yet

EDIT: 3-engine one by looking for yl96_1_12s in STDIN_2SE_D2_x

Code: Select all

x = 60, y = 61, rule = B3/S23
28bo$19bo7bobob2o$18b2ob2o2b2ob2o2bo$18bo5bobo5bo$18bo8bo2b2o$19bo2b3o
2bo$8b2o15b3o$8b2o7$2o$2o5b2o3bo$7b2ob2ob2o6bo2bo$7bo7bo3b3o$6b2o6bo3b
4ob2o3b2o$7b2o2b2o4b2o9b2o$7b2o2b2o2$22bob3o$24b2o9bo$25bob2o4b2ob4o$
26b3o3b2ob3ob2o$33bob3obo$25b2o4b4o3bo$30b3ob2o$30b5o$33bo3$55bo$46b2o
7b5o$46b3o4bobo3bo$45b3o3b3o3b3o$47b3o2b2o$53bo$54b3o$55b2o6$34b2o$33b
o2bo$34b2o2$48bob3o3bo$47bobobo3bobo$46b2ob7obo$47bo3b2ob3o$26b2o20b3o
$25bo2bo20bo$26b2o3$48b2o$48b2o!

I think I already checked the two se stdins for yl96_1_6s and nothing showed up, so there probably isn't a two-engine one

[TYCF]

Sorry.

Incomplete collection of coderpuffers in the Cordership Discussion Thread and some others. The numbers stand for how many switch engines it uses.
Credits:wwei23, MathAndCode, PC101, dvgrn and EvinZL .
Zoom in to see the puffers.

Code: Select all

x = 4769, y = 1057, rule = B3/S23
275$241bo3bo3bo3bo17bo3bo3bo3bo3bo13bo3bo3bo3bo3bo13bo18bo10bo3bo3bo3b
o3bo13bo18bo10bo3bo3bo3bo3bo$243bo3bo3bo21bo3bo3bo3bo3bo13bo3bo3bo3bo
3bo43bo3bo3bo3bo3bo43bo3bo3bo3bo3bo$255bobo133bo18bo$241bo17bo11bo29b
o29bo18bo19bo50bo$391bo18bo2$241bo18bo10bo29bo29bo18bo19bo20bo18bo10b
o2$391bo18bo$241bo29bo29bo29bo18bo19bo50bo$260bo130bo18bo2533bo3bo3bo
3bo14bo3bo3bo3bo3bo$2946bo3bo3bo18bo3bo3bo3bo3bo11bo18bo10bo3bo3bo3bo
3bo13bo3bo3bo3bo3bo$241bo29bo29bo29bo18bo19bo20bo18bo10bo2520bo15bo74b
o3bo3bo3bo3bo13bo3bo3bo3bo$260bo2719bo98bo$391bo18bo2530bo17bo41bo18b
o10bo29bo$241bo29bo29bo29bo18bo19bo50bo$259bo131bo18bo2529bo19bo19bo99b
o$257bo92bo2650bo18bo10bo29bo$241bo3bo3bo3bobo15bo3bo3bo3bo3bo13bo3bo
3bo3bo3bo13bo3bo3bo3bo3bo22bo21bo16bo11bo3bo3bo3bo3bo2642bo$243bo3bo3b
o21bo3bo3bo3bo3bo13bo3bo3bo3bo3bo13bo3bo3bo3bo3bo73bo3bo3bo3bo3bo2500b
o19bo19bo$255bobo135bo14bo1242bo3bo3bo3bo17bo33bo3bo3bo3bo17bo3bo3bo3b
o13bo18bo1210bo18bo10bo29bo18bo$241bo17bo11bo29bo29bo18bo19bo50bo1231b
o3bo3bo55bo3bo3bo21bo3bo3bo3bo$394bo12bo1257bobo45bo15bo13bo44bo1151b
o19bo19bo99bo$1651bo17bo11bo89bo1229bo18bo10bo29bo$241bo18bo10bo29bo29b
o18bo19bo24bo10bo14bo1290bo17bo11bo43bo1293bo$2940bo19bo19bo$396bo8bo
1245bo18bo10bo29bo19bo9bo29bo12bo1216bo18bo10bo29bo17bo$241bo29bo29bo
29bo18bo19bo50bo$260bo136bo6bo1377bo1157bo19bo19bo39bo44bo3bo3bo3bo$1651b
o29bo29bo19bo9bo29bo1229bo3bo3bo3bo3bo13bo3bo3bo3bo3bo13bobo3bo3bo3bo
$241bo29bo29bo29bo18bo19bo27bo4bo17bo1248bo109bo1222bo3bo3bo3bo3bo13b
o3bo3bo3bo3bo$260bo2679bo19bo19bo84bo$399bo2bo1248bo29bo29bo19bo9bo29b
o6bo1222bo18bo10bo29bo$241bo29bo29bo29bo18bo19bo50bo1248bo1396bo$259b
o140bo1375bo1163bo19bo19bo$257bo1393bo29bo29bo19bo9bo29bo1229bo18bo10b
o29bo7bo$241bo3bo3bo3bobo15bo3bo3bo3bo3bo13bo3bo3bo3bo3bo13bo18bo14bo
3bo3bo3bo23bo19bo3bo3bo3bo3bo1231bo104bo$243bo3bo3bo21bo3bo3bo3bo3bo13b
o3bo3bo3bo3bo43bo3bo3bo3bo3bo20bo22bo3bo3bo3bo3bo1227bo1272bo19bo19bo
90bo$1651bo3bo3bo3bobo15bo29bo19bo9bo29bobo1227bo18bo10bo29bo$1653bo3b
o3bo1411bo$1665bobo107bo1164bo19bo19bo$1651bo17bo11bo29bo19bo9bo29bo1229b
o18bo10bo29bo13bo$1777bo1163bo17bo$2980bo96bo$1651bo18bo10bo29bo19bo9b
o29bo7bo1162bo15bo42bo18bo10bo29bo$2980bo98bo$1781bo1162bo3bo3bo3bo$1651b
o29bo29bo19bo9bo29bo1174bo3bo3bo25bo20bo18bo10bo3bo3bo3bo3bo13bo18bo$
1670bo112bo1249bo3bo3bo3bo3bo$3061bo18bo$1651bo29bo29bo19bo9bo29bo13b
o$1670bo$1712bo17bo11bo44bo$1651bo29bo89bo$1669bo43bo15bo13bo45bo$1667b
o$1651bo3bo3bo3bobo15bo3bo3bo3bo3bo17bo3bo3bo3bo17bo3bo3bo3bo13bo18bo
$1653bo3bo3bo21bo3bo3bo3bo3bo17bo3bo3bo21bo3bo3bo3bo$1771bo18bo60$1206b
o$1205bobo$1205bobo$1205bo2bo$1206bobo$1209bo$1208b2o$1208bo13b2o$1222b
2o3$1206bo$1205bobo$1207bo$1207bo$1207bo22b2o$1230b2o$1208bo$1204b2ob
3o$1206b3ob2o$1209bo3$1199bo19b2o$1198bobo16bo$1197b2ob2o15bo4bo$1198b
o2bo23bo$1200b3o13bo8bo$1200bobo13b2obobobobo$1201b2o15bo$1201b2o4$1199b
o$1200bo$1200b2o$1199b3o3$1200b3o$1198bo4bo$1198b2o3b2o$1199bo3b2o2$1202b
o$1186b2o7b2o$1186b3o6b4o3bo7b2o$1186b2obobo7bo10b2o$1189b2o10bob2o$1201b
obo$1202bo4$1218b2o$1218b2o2$1211b2o$1209b3ob2o$1209bobob2o$1179b3o25b
2obo2$1177bo5bo22bo$1177b7o$1179bo11bo$1179bo3bo6bo7b2o$1178bo10b3o$1157b
o21bo9b3o$1156b3o21bo4bo4bob2o$1155bobobo20bo4bo5b2o$1154b3ob3o12bo5b
2obobo7bo$1172bobo3bobo$1156bob3o13b2o3bo$1156b5o9bo3bo$1156b2o2b2o11b
o2b2o$1158bob2o14bo$1160b2o9bo2b2o$1156bobo2bo11bo$1155bobo2bo$1156bo
4$1171b2o2$1171b2o2$1172bobo$1173bo$1161b2o10bo$1161b2o32bo$1193b2o$1194b
2o2$1142bo$1140b2ob2o$1140b2ob2o$1140b2o27b2o$1142b2obo23b2o$1143bo2b
o$1143bo2bo$1144b2o12b2o$1158b2o7$1166b2o$1121b3o42b2o$1121b3o14b2o$1120b
o3bo15bo$1121b2ob3o11b3o20b2o$1121b2o4bo$1124bo2bo35bo$1125b2o31b2o2b
2o$1131b2o23b4o14b2o$1130bo24b3o16b2o$1130bo2bo21b2o$1116bo11b2ob4o18b
2obo$1114b2ob2o8bo23b4o$1114b2ob2o8bo3b3o2bo13bo4bo23bo$1114b2o11bo2b
o2bob3o3bobo6bobo24b2o$1116b2obo9b2o4b3o4bo8bo26b3o$1117bo2bo10b2obob
o42b2obo$1117bo2bo11b2obo14bo19bo8bo$1118b2o15bo12b4o14b2obobo10bo$1147b
o3bo14bo2b2ob2o2b2o3bo$1147bo2bo15bo5bobo$1148b3o16b2o2bo8bo$1171bo2b
3o2bo$1116b3o52b3o2$1116bobo$1117bo$1118bo$1118b2o$1115bob2obo34b3o$1115b
4ob2o33bo2bo$1116b5o37bo$1118b2o35b2o$1154bobo$1155bo2b3o$1156b2o2bo$
1156bo3bo$1157bobo$1120b2o37bo$1120b2o37bo3$1157bobo$1144bo13bo$1140b
2obobo$1140bo2b2ob2o$1128b2o10bo5bobo4bo$1128b2o11b2o2bo8bo$1145bo2b3o
2bo$1145b3o5$1136b2o$1136b2o5$1185b2o$1184b3o$1184b2obo$1185b3o$1186b
o5$304bobobo5bobobo2bo2bobobo2bo2bo6bo2bobo2bobo2bo8bo2bobobobo1238bo
bobo5bo11bo2bo7bobo4bo5bo$310bo1306bo24bo$304bo9bo9bo9bo6bo5bo6bo8bo2b
o1244bo36bo2bo4bo$311bo1306bo2bo9bo6bo2bo2192bobobobo6bo6bobobobobo2b
obobobo2bobobo15bo$304bo9bo9bo9bo6bo5bo6bo8bo2bo1244bo39bo3bo2189bo3b
o42bo$310bo1306bo35bo1250bobobo7bo2bo8bo6bobo2bobo435bo6bo8bobobobobo
2bobobo5bobobobo2bobobo295bo11bo2bo8bo6bobobobo72bo8bo7bo6bo6bo8bo5bo
9bo3bo47bobobobobo6bo6bobobo4bo8bobobobo13bo2bo4bobo5bo18bobobobobo6b
o6bobobo4bo8bobobobo47bobobo5bo10bobobobobo2bobo5bo2bo5bo2bobobobo2bo
bobo254bo9bo5bo5bo3bobobo5bobobo$304bobobo5bobobo2bo2bobobo2bo2bobo2b
obo5bo7bo6bo3bobobobo1238bobobo5bo9bo6bo2bo9bo1258bo15bo3bo444bo5bo29b
o18bo315bo3bo204bo3bo90bo3bo82bo60bo284bo9bo$1654bo1249bo19bo7bo5bo446b
o12bo6bo9bo328bo7bo2bo78bo8bo7bo6bo6bo8bo5bo13bo51bo6bo7bo2bo5bo2bo8b
o17bo6bo2bo2bo4bo22bo6bo7bo2bo5bo2bo8bo53bo9bo14bo6bo2bo4bo2bo4bo3bo267b
o9bo5bo5bo2bo9bo$304bo5bo3bo9bo9bo6bo5bo7bo6bo3bo1244bo5bo33bo1259bo2b
o6bo452bo7bo29bo11bo5bo293bo9bo6bo396bo53bo5bo$1621bo9bo6bo2bo13bo1248b
o19bo7bo5bo446bo12bo6bo9bo328bo7bo2bo78bobobobo2bobobobobo6bo6bobobob
o2bobobo15bo51bo6bo7bo2bo5bo2bo8bo17bo6bo2bo3bo3bo22bo6bo7bo2bo5bo2bo
8bo53bo9bo14bo6bo3bo3bo2bo3bo4bo267bo10bo3bobo3bo4bobobo5bobobo$304bo
6bo2bo9bo9bo6bo5bo8bo4bo4bo1244bo6bo32bo1258bo463bo37bo15bo708bo38bo19b
o286bo9bo$1642bo5bo8bo1246bobobo5bo6bo2bobobobobo5bo446bo12bo6bo9bobo
bobo2bobo297bo9bo6bo2bobobobobo2bobobobo72bo8bo7bo6bo6bo8bo4bo14bo51b
o6bobobobobo2bobobo4bo8bobobobo11bo6bo2bo4bo2bo22bo6bobobobobo2bobobo
4bo8bobobobo47bobobo5bo14bo6bo4bo2bo2bo8bobobobo2bobo256bo10bo3bobo3b
o$304bobobobo3bobobo2bo2bobobo2bo2bo6bo2bo2bobobo6b2o6bobobobo1238bob
obobo3bobo2bobo4bo2bo7bobo4bo6bo1753bo764bo305bo9bo$2904bo5bo13bo7bo5b
o435bo5bobo2bo12bo6bo9bo12bo315bo7bo2bo78bo8bo7bo6bo6bo8bo5bo13bo51bo
6bo7bo2bo5bo2bo8bo17bo6bo2bo5bobo22bo6bo7bo2bo5bo2bo8bo53bo5bo3bo14bo
6bo5bobo2bo8bo12bo254bo11bobo3bobo$2486bo427bo6bo490bo11bo299bo9bo6bo
436bo13bo283bo6bo2bo6bo$2485bobo416bo6bo12bo7bo5bo435bo7bo2bo12bo6bo9b
o13bo314bo7bo2bo78bo8bo7bo6bo6bo8bo6bo12bo51bo6bo7bo2bo5bo2bo8bo17bo6b
o2bo7bo22bo6bo7bo2bo5bo2bo8bo53bo6bo2bo14bo6bo7bo2bo8bo13bo253bo11bob
o3bobo$3411bo768bo295bo5bo3bo5bo$2198bo286bo2bo415bobobobo5bo2bo4bo7b
o5bo437bobobo4bobobobo2bobobobobo2bobobo5bobobobo2bo5bo293bobo2bobo4b
o2bo4bo7bo2bo78bobobobo2bo7bo6bo6bobobobo2bo6bo8bobobobobo47bo6bo7bo2b
obobo4bobobobo2bobobobo13bo2bo4bo7bo22bo6bo7bo2bobobo4bobobobo2bobobo
bo47bobobobo3bobobobobo2bobobobobo2bo7bo2bo6bobobobobo2bo5bo252bobobo
bobo4bo5bo7bobo7bobo$2197bobo287b2o$2488bo$2197bo2bo301b2o$2199b2o301b
2o$642bo289bo1267bo$225bo112b3o87b2o89bo122bo288b3o954bo325b2o$221b2o
bobo7bo102bo3bo86b3o87b3o121bo287b3obo939bobo6bo2b4o324b2o269b2o$221b
o2b2ob2o2b2ob2o100bo3b2o86b2obo85b3obo14bo108b2o282bo3bo611bo327bo9bo
b4o598bo$221bo5bobo5bo101bo94bo13bo69b2o3b2o6bo2bo3bo108b2o12b2o267b2o
2bo2bo608bobo327bo2bo6b3o3b2o593b2o$222b2o2bo8bo102b4o82bo3b2o3bo12bo
68b2obo2b2o6bo3bo2bo103bo3b3o11b2o267b3o2b4o607bo3bo13b3o61b2o104bo122b
o21b3o9bo2b2o304b2o304bo$226bo2b3o2bo105bob2o90bo11bo69b2obob2o5bo112b
3o15bo269bo3bo2bo606bo3bo8bo68b3o102b2o122bo34bob2o306bo303b2o5b2o1524b
o448bobo$226b3o15b2o94bo2bo87bobo83b3ob2o6bob2o109bo15b3o268bo6bo606b
obob3o4b2ob3o65b2obo100b5o120bo35bo8b2o296b2o304b2o5b2o1523b3o446bo$244b
2o95b2o12b2o74bo63b3o21bo4bo116b2o15b3o270bo2bo609b2obo2bo5bob2o69bo13b
o84bo19bo106b2o42b2o314bo285bobo1981bo2bo$355b2o69bo4bobo13bo47bobo22b
4o20b2o95b3o16bo272b2ob2o610bobo8bo61bo3b2o3bo12bo83b2o5bo13bo106b3o357b
2o5b2o278b2o1531b3o413bobobo31bobo$445b2ob2o4b2o39b3o24bo12bob2o5b2o97b
o14bo2bo271bo14b2o598b2o11bo2bo5b2o59bo11bo82b3ob2o8bobo5bo106b2o358b
2o5b2o244bobo6bobo24bo1531b2ob2o449bo11b3o$430b4o20b2o55b2o22b3o94bo8b
o16b3o5b2o280b2o611b3o6b2o56bobo96bobob2o2b2o3bobo127b2o341bobo251bo9b
obo22bo2bo1532bo157bobo140bobo109bo37b3o$340bo89b2o12bobo63bo2b2o21bo
94b3o9bo15bo6b2o960bo99bo2bo2b2o5bo128b2o342b2o75bo176bo2bo6bo26bo1546b
2o128bobo7bo2bo2bo126bobo7bo2bo2bo147bo$340bo103bo3bo48b2o11b2ob2o115b
obobo6b3o979bo4bobo13bo85b2o448bobo6bobo24bo84bobo2bo3bo6bo3bobobo144b
3o29b3o437b3o90bo97bo637b3o110bobo165b2o127b2ob2o5bobob2obo125b2ob2o5b
obob2obo109bobobo31b2o$339bobo102b2o2bo9b2o35b2ob2o14bo114b3ob3o296b2o
708b2ob2o4b2o79b2obo20b2o421bo9bobo22bo2bo73bo35bo190b2o515bo95b2ob2o
635bo2bo95bobo7bo2bo2bo295bob2o6bo132bob2o6bo153bo13b3o$252b2o86bo104b
3o9bo37b2o2b2o10b2o421bo692b4o20b2o82bo12b3o5b2o96bo52b2o271bo2bo6bo26b
o82bo6bo2bobo4bo2bo179bo17b2o426bo88bo95b2ob2o638bo94b2ob2o5bobob2obo
299bo11b3o128bo11b3o111bo31bo2bo12b3o5b2o$241bo3b2o5b2o86b2o21b2o81bo
5bo2bo38b2o3b2o11bo7b2o109bob3o296b2o220b3o470b2o12bobo102b2o2bo102bo
bo51b2o273b3o29b3o74bo206bobo441bo3b2o12bo78bo12bo78b2o638b2o15b2o80b
ob2o6bo155bo148bo13b2o127bo13b2o131b2o10bobo13b2o6b2o$229bo2bo6b2ob2o
b2o93b3o20b2o87bo2b5o35b2o2b2o19b2o109b5o517bo3bo412bo70bo3bo101b3o103b
o2bo373b2o81bo3bo2bo179bo430b3o10bobo13b2o73b3o2bo10b2o80b2obo633bobo
15b2o84bo11b3o136b3o7bobo147bo12b2o7b2o119bo12b2o7b2o99bobobo18bo12bo
14bo$232b3o3bo7bo205b2ob4o37bobo132b2o2b2o2b3o314b2o194bo4bo8b2o3b3o467b
2o2bo9b2o69b3o11bo7bo122b2o339bo17b2o59bo8bo6bo2bo149bo25bo10bobo430b
o3bo6b3o16bobo71bo4bo11bo82bo2bo633bo2b3o96bo13b2o136b3o8bo170b2o141b
2o122bo2bo22b2o2bo25b2o3b4o$224b2o3b2ob4o3bo6b2o90bo4b2o113b2o65b3o105b
ob2o19bobo297b2o194bo2bobo7b4o399bo73b3o9bo70bo2bo10bobo128bo339bobo101b
o2bo2bo3bobo132bobo20b5o7bo434bo4bo8bo90bo3bo95bo2bo634b2o2bo96bo12b2o
7b2o129bo445b2ob4o22bo3bo9bo9b3obo2bo6bo$224b2o9b2o4b2o2b2o91bo5bo113b
3o174b2o19bo2bo14b3o261bo213b2obobo6bo3b2o400bo72bo5bo2bo71bo4bo9bobo
110bo2bo14b3o339bo78bo8bo6bo174bo3bobo4b4o2bo428bo3bo26b2o74b3o97b2o12b
2o621bo3bo118b2o130b2o6b2o23b2o409bo29bo2bo10bo13bo2bo2b5o$241b2o2b2o
91bo5bo113b3o170bobo2bo19bo2b2o16bo260b2o214b2obo2bo4b2obobo395bo82bo
2b5o67bo2b3o10bo111b2ob3o10b3o301bo25bo10bobo98bo4bo4bo6bo131bo2bo19b
3o3b3o3b2ob3o428bo2bob3o6b2o16b2o90b3o94b2o622bobo10bobo239bo5bobo23b
2o124bo142bo141bo3b3o2bo21b3o7bo16bo2bo$343bo20bo69b2o12bo63b3o115bob
o2bo20bo2b2o8b2o2bo3bo239b3o10b3o4bob2o215b2o2bo389b2o18bo78b2ob4o68b
o5bo123b2o2bo9b3o14bo285bobo20b5o7bo84bo8bo6bo9bo143b2o25b2o2b3o31b2o
400bo7bo6b2o14bo2bo87b2ob3o719bo12bo238bo23bo120b2o7b2o2bobo127b2o7b2o
2bobo140bo2bo2bob3o2b3o21b2o6bo14bo$227b3obo100bo101b2o10b2ob2o58b3ob
o117bo25bo2bo10bob2o2bo239b3o17bobo217b3o13bo6b2o368b2o103b2o68b7o123b
o2bo25bobo28b2o277bo3bobo4b4o2bo109bo5bo134bo25bo37b2o402bo3bobo6bo15b
3o5b2o65bobo13b2o2bo717bo2bo16bo81bo159b3obobo9bo121b3o6b4o3bo19b2o105b
3o6b4o3bo19b2o120b2o4b3o27b4o15bobo17b2o$218bo9b2o101b3o28bo87bo59b2o
b2o36b2o105bo259bo18b2o231bo2bo6b2o388bo84b3o73bo123bobo27b2o28b2o254b
o2bo19b3o3b3o3b2ob3o79bobobobo3bobo2bo3bo6bo5bobo159b3o442bo3bob2o5b2o
22b2o65bobo13b2ob2o4b2o700b3o8bo13b3o7b2o62b2o7b2o2bobo162b3o10bo120b
2obobo7bo21bo2bo104b2obobo7bo21bo2bo121b2obobo32bo3bo11bo18b2o$214b4o
b2o4b2obo101b2o2bo29bo81bo3bo59b2ob2o36b2o121b2o243b2o250b3o19b2o460b
3o46bo26bo441b2o25b2o2b3o31b2o245b2o445b3ob2o4b2o90bobo14bobo5b2o72b3o
651b2o7b2o62b3o6b4o3bo19b2o140b2o135b2o10bob2o16bo2bo4b2o101b2o10bob2o
16bo2bo4b2o116b2obo10b3o21bo$213b2ob3ob2o3b3o18bobobo78b2o2b2o25bo86b
3o62bo407bo271b3o375bo60b2o12bo57b3o23b2o17bo97b2o326bo25bo37b2o794bo
bo15bo709bo8b2o2bo11b2o71b2obobo7bo21bo2bo126b2o7bo152bobo15bob4o4b2o
113bobo15bob4o4b2o119bo10b2o23bobo$214bob3obo23bo85b2o587bo272b2obo435b
2o10b2ob2o54b2o2bo40bobo92b2o3bo349b3o835b2o96bobo626b2ob3o4b3o13b2o73b
2o10bob2o16bo2bo4b2o120b2o7bo153bo15bo2bo123bo15bo2bo139bo15b2o8bo$215b
o3b4o4b2o23bo78b5o22bo5bo71b2o62b2o438bo239b2o11b3o374bo76bo53b2o2b2o
40bobo81b3o7bo6bo348b2o260b2o56b3o614bo22b2o602bob4o22bo85bobo15bob4o
4b2o121bo177bobo140bobo141bo14b2o$218b2ob3o111b2o85bo9bo3b3o61b2o438b
o238b2o4bo8bo448bo3bo54b2o44bo85b3o5bo3b5o610bo55bobo615bo21b2o602bob
3o110bo15bo2bo130bo160b2o9bo3b2o126b2o9bo3b2o$219b5o109bo2bo19bo2bobo
2bo2bobobo50b4o5bobo2bo2b2o177bo321bo238b2o2bob2obo369b2o6bobobobobo69b
3o56b5o126b3o6bo3bo611b2o56bobo412b2o201b2o625b3o5bo121bobo130bobo159b
2o8bo132b2o8bo$220bo31bo81b2o86bo3bo5bo3bo2b3obo175bob2obobo290b2o260b
2o2bo5bo368b2o97bobo47b2o126bo11bo2bo72b2o246b2o56b3o285bo4b2o408b2o6b
3o15b2o9bo5b3o50b2o30b3o5bo63bob2obo625bo6bo104b2o9bo3b2o132bo174b2o2b
o138b2o2bo209b2o$364bo74b4o116b2o52b3o3b4o3bo290b2o263bobo4bo443b2o20b
o49bo2bo139b2o73b2o248bo55bobo237b3o44b3o3b2o409bo12b2o9b3o8b3o43bo9b
o3b3o18b3o7bo3bo4bo63b4ob2o631bo104b2o8bo139bo2b2o169b4o139b4o199bobo
8b2o$244bobobobo173b3o10bobo111bo7b2o58bo2b2ob2o291bo260bo3b6o430bo9b
o3b3o25bo44b2o12b2o449b2o56bobo237bobo21bo28bo422bo2bo8bo2bo6b2ob2o42b
4o5bobo2bo19bo3b2o4bo5bo3bo64b5o749b2o2bo134bo3bo513bo3bo$198bo53bo111b
o73b2o110bobo65bo560bob2obo434b4o5bobo2bo2b2o16bo65b2o507bo4b2o233bob
o20b3o23b4o411bo12bobo9b3o5b3ob3o41bo3bo5bo3bo2bo25bo3bo3bo48bobo18b2o
623b2ob2o122b4o137b2o167b2o141b2o192b3o7bo4bo$194b5o7b2o341b2ob2o62b3o
30bo510b2o13b2o20bo421bo3bo5bo3bo2b3obo19bo520b3o44b3o3b2o233bo4b2o15b
o3bo23b2o426bo10b3o6b2ob2o60bo15bo8bo2bobo2bo48bobobo7bo633b2ob2o80b3o
180bo131bo33b4ob2o102bo33b4ob2o154b2o29b2o3b4o6bo4bo$194bo3bobo4b3o102b
3o51bo79b3o61b2o40bo2bo62b3o29bobo509b2o4bo8b2o19bobo437b4o541bobo21b
o28bo207bobo6bobo14b3o3b2o14b4o25bo448b3o45b3o10bobo17bo3bo3bobo3bobo
47bo2b2obo4b3o634bob2o25bo54b3o37b2o273bo29bo2b3obob2o102bo29bo2b3obo
b2o155bo28b2o3bo4bo6bo3bo$194b3o3b3o3b3o43bo56bo198b2o42b3o93bobo514b
obo7bo20bobo422b3o10bobo22bo63b2o456bobo20b3o23b4o207bo9bobo20bo14b3o
2bobo434bo5b3o29bo60b2o18b3o61b2o3bobob2obo635b2o25bo93b3ob2o271bo28b
o6bo106bo28bo6bo141b2o13b3o34b2ob2o7bo2bo$200b2o2b3o101bo4b2o49bo187b
obo94bo498bo15bo3bo5bo22bo437b2o67b3o15bo20bobobo433bo4b2o15bo3bo23b2o
209bo2bo6bo17b4o16bo2bo2b2o22bo410bo7bo9b2o17b2o144b2o3b2ob5o203b2o457b
o55bob2o34bobob2o272b2o21b2o4bo113b2o21b2o4bo147b2o13bo36b4o$200bo43b
o7bo54bo3bo9b2o230b2o66bo278b2o7b2o236b3o16b2o5bobo482bo45bobo15b3ob3o
12bo189b2o221bobo6bobo14b3o3b2o14b4o25bo212b3o24b2o14bo3b2o2bo22bobo410b
o5bobo8bo2bo16b2o70bo20bo56bob2o3b2o203bobo512bo3bo31b2obo134bobo139b
3o27b3o110b3o27b3o197bo$197b3o46bobobo56bo2bo4bo4bo2bo124b2o103b2o59b
obo4bo278b3o6b3o234b3obo14b2o25b2o7b2o438b3o60bo17b3o2bo21bo181b2o220b
o9bobo20bo14b3o2bobo262bo14b3o3bo2b3o18b5o416b2o10b2o16bobo70bo19b3o54b
obo20bo189bo460b3o53b3o29bo125bobo7bo2bo2bo139b2o15bobo2b3o118b2o15bo
bo2b3o200b2o26b3o$197b2o108bo3bo3bo5b2o125b2o155bob3o4bobo4bo278b2obo
bo239b2o3b2o14bo24bo2bo5bo2bo452bo47bo2bo18bo427bo2bo6bo17b4o16bo2bo2b
2o22bo252b3obo6b2o9bo7bob3o448bo71bo18bo2bo77bo650bobo84bo125b2ob2o5b
obob2obo156bobo140bobo195bo3b2o4b3o24bo2bo$308b2obob3o131bo2bo152b2ob
o4bo5bo285b2o239b2obo2b2o13b2o25b2o7b2o502bobo139b2o307b3o24b2o14bo3b
2o2bo22bobo239bo11bobo2b2o12b5o7b2o2bo540bo79bo648b4o83bob3o124bob2o6b
o161b2o141b2o197bob2o2bo6bo22bo4bo$288bo22bo135bob2o154b2o4bo2bo2bo39b
o487b2obob2o14b2o487bobobobo44b3o40bo97b2o334bo14b3o3bo2b3o18b5o237bo
bo10b2obobo14bo3bobo4b3o1272b2o86b4o128bo11b3o153b2ob2o3b3o132b2ob2o3b
3o149b3o23b2o11bo2b5o2b4o22bo2b3o$287b3o22b4o128b3o104bo59bo2bo2bo38b
obo487b3ob2o45bo447b2o61b2o127b2o6b4o348b3obo6b2o9bo7bob3o202bo33b5o11b
o2bo15b3o3b3o3b3o1231b3o31bo5bo45b3o170bo13b2o19bo106bo27b2o4b3o106bo
27b2o4b3o149bo27bo15b3o3b3o23bo5bo$286b3obo14bo8b2o129b2o103bobo57bo4b
o40bobo489bo4bo42bobo446b2o55b3o4b2o30bobobobo89b2o5bobo337bo11bobo2b
2o12b5o7b2o2bo201bobo23bo7bob3o13bo3b2o18b2o2b3o1266bobo49bo3bo7bo161b
o12b2o19bobo104bobo8bo21b4o106bobo8bo21b4o150bo3bo5b2o13b3o15b3o31b7o
$285b2o3b2o6bo2bo3bo121b2o9b2o2bo107bobo53bo2bo47bo482bo8b4o43bobo445b
o2bo60b2o14b2o23bo94bobo335bobo10b2obobo14bo3bobo4b3o226b5o7b2o2bo15b
2ob2o17bo426b2o815b2o27bo2bo47bo3b2o6bobo194bobo104bobo7bobo18bo111bo
bo7bobo18bo153b2o3b2o5b2o13bo17b2o38bo$218b2o64b2obo2b2o6bo3bo2bo23b2o
96b2o5b2obo4b2o107bo55b2o530b3o9bo45bo446bob2o75bo105bo109b2o205bo33b
5o11bo2bo15b3o3b3o3b3o203bo2bo18bo3bobo4b3o19bob2o14b3o427b2o91b2o724b
o27b2o49bo11bo196bo105bo2bo6bo2bo14bo2b3o109bo2bo6bo2bo14bo2b3o150bo2b
obo2bo37bo39bo$217bo2bo64b2obob2o5bo30bo2bo106bobob2o694b2ob2o498b3o76b
2o2b2o102bobo108b2o204bobo23bo7bob3o13bo3b2o18b2o2b3o207b2o18b3o3b3o3b
3o36b2o523bo693b3o21b4obo80b4o6b2o303bobo22b4o114bobo22b4o154bo2bobo2b
2o74b2o12b2o$218b2o66b3ob2o6bob2o27b2o109b2o441bo253b2obobo499b2o76b2o
27bo417b5o7b2o2bo15b2ob2o17bo214bo24b2o2b3o551b2o6bo2bo103bo2bo588bo22b
5o83bob2o4b2o147b3o156bo20bo2b2ob2o114bo20bo2b2ob2o153b2ob2o2bo88b2o$
288bo4bo588b2o252b3o2b3o480b2o9b2o2bo188bo2bo313bo2bo18bo3bobo4b3o19b
ob2o14b3o240bo557b2o5bo94b2obo6b2obo2b2o587bo2bo107bo2bo5bo147b3o14b2o
139b2o4bo2bo4bo128b2o4bo2bo4bo148bo20bo4bo$197bo3b3obo83b4o372bo215b5o
251bo6bo479b2o5b2obo4b2o100bo7bo80b2o315b2o18b3o3b3o3b3o36b2o238b3o656b
o3b6o4b2obo4bo586bo2bo108b2o4bobo5b2o139bo3bo7bobo4b2o138bo5b2ob3o3bo
6bobo118bo5b2ob3o3bo6bobo137b3o22b2ob2o27b2o$196bobo3bobobo84bo12bob2o
251bo104bobo213bo19bo237b5obo490bobob2o77bo24bobobo83bo316bo24b2o2b3o
278b2o656bo5bo4bo3b2o594bobo19bobo39bo53bo6b2o9b2o129b2ob3o5bo2bo2b3o
37bo108b2o5bo8b2o125b2o5bo8b2o135b3obo20b4o30bo43bo$196bob7ob2o96b3o251b
obo103bobo212b2o5bo13bo238b4ob2o491b2o69b2o3b7o453bo316b3o473bo149bo11b
o4bo4b2o411b3o188b2o5bobo38bobo52bo17b3o128b2o4bo4bobob6o35bobo108bo3b
2o8b6o123bo3b2o8b6o131bo3bo22b2o28b3o43bobo$197b3ob2o3bo98bo129b2o121b
obo104bo212b3ob2o8bobo5bo215b3o25bo563b2o3bo4b2o450b3o260b2o55bobo436b
o35bobo90bo58bo9bo5b2ob2o208b2o202bo191b2o6bo39bo2bo72bo130bo2bo9bo2b
2o35bobo108bobo14b3o123bobo14b3o130b2o2bo2bo50bo44b2obo$203b3o20b2o109b
2o96b2o100bobo19bo319bobob2o2b2o3bobo220bo2bo24bo570bob2o229b2o221b2o
263bo54bobo435b3o34b2o90bobo62bo223bobo200bo4b2o193bobo39b2o44bo27b2o
131b2o11b3o37bo98bo25bo2bo113bo25bo2bo130b3o2b4o95b2o$204bo20bo2bo107b
o2bo196b2ob2o80bobo256bo2bo2b2o5bo220bo4bo598bo228b2o253b3o228b2o55bo
4b2o430b2ob2o125b2o63bo2bo220bo201bo3bo15b3o179b2o85bo25b3o146bo136bo
bo25b2o113bobo25b2o133bo3bo2bo95b3o21b2o$226b2o109b2o198bob2o66bo4bob
o267b2o230bo2b3o595bo2bo109b2o315b2o55bobo284b3o3b2o429b2o3bo95b2o95b
o423bo2bo4bo4b2o163bo23bo85bobo23b2o287bo25bo116bo25bo134bo6bo96bo22b
2o$541bo64bobo2b2o2b2o7bo259b2obo226bo5bo511b2o81bo2bo111bo18bo297bo54b
obo238b3o49bo431bobobobo93b2o13bobo88bo21b2o391bo3bo3bo4b3obo159bobo109b
o23bo289bo21bo120bo21bo140bo2bo62bo36bo2bo$540bo65bob4o2bobo4bob2o48b
o213bo12b3o212b7o510b2o81b3o111b2o17bobo294b2o55bo4b2o234bobo21bo23b4o
433b2obo2bo105bo113bobo392b2obob3o169bo110b2o21b2o289bo22b2o118bo22b2o
140b2ob2o58bobo32bo6bo$204b2o334bo26bo39bo6bobo5b3o47bobo223b2o2bo218b
o594b2o110b3o18b2o350b3o3b2o234bobo20b3o23b2o411bobo23b2obo111bo77b2o
14bo14bo396bo190bo55bo37b3o219bo112bobo10b2o128bobo10b2o129bo14b2o47b
o33bo6bo$204b2o322b2o36bobo42bob3o56bobo224b3o219bo594b2o110b2o325b3o
49bo235bo4b2o15bo3bo22bo411bo2bo24b2o40bo64bo84b2o12b5o381b2o27b4o20b
2o164bo6b2o46bobo257bobo91bo17b3o11bo2bo107bo17b3o11bo2bo143b2o44b3o34b
o4b3o$514bo9bo3b3o35bobo104bo226bo5b3o210b2o12b2o581b2o109b3obo323bob
o21bo23b4o209bobo6bobo14b3o3b2o14b4o437bobo65bobo69bo20bo61b2o7b3ob2o
381bobo28b2o11bob2o5b2o145b4o22b2o46bo2bo33bo4b2o216bobo87b2ob3o13bo17b
2o104b2ob3o13bo17b2o190bo30bo$293b2o50b2o167b4o5bobo2bo38bo565b2o693b
o3bo122b2o198bobo20b3o23b2o209bo9bobo20bo14b3o2bobo22bo427b2o50b2o90b
obo70b5o381bo43bo2bo152b2o3bo13bo55b2o34bo5bo217bo90b3ob2o11bo5bo20bo
98b3ob2o11bo5bo20bo212b3o$293b2o49bo2bo84b3o79bo3bo5bo3bo2bo1298bo2bo
121b2o198bo4b2o15bo3bo22bo211bo2bo6bo17b4o16bo2bo2b2o19bobo427bobo120b
o20b2o73bo401bo25b3o154bo4bo11bobo10b3o77bo5bo28b2o281bo18b2o19bobo100b
o18b2o19bobo119b2o16b2o71b2ob2o$345b2o84bo3bo10bo85bo1297b3o295bobo6b
obo14b3o3b2o14b4o238b3o24b2o14bo3b2o2bo19b5o413bo13b3o617bobo14bo18bo
149bob2o11bo97bo29bo299b2o21bobo117b2o21bobo121bo14b5ob3o64b2obobo$432b
2o15b2o65b3o10bobo82b2o502bo17bo694b2o294bo9bobo20bo14b3o2bobo22bo239b
o14b3o3bo2b3o8bo7bob3o413bob2o11bo2bo118bo89bo406bo3bo12bobo17bo4bo145b
o15b2o106b2o14bobo295b2ob2o23bo114b2ob2o23bo120b2o14bo5bo2bo47bo15b3o
2b3o$434b2ob2o91b2o82b2o65bo435bobo15bo2bobo987bo2bo6bo17b4o16bo2bo2b
2o19bobo253b3obo6b2o4b5o7b2o2bo413bob2o12bo212bo404bo3bo8bob2o2bo16bo
bo2bobo161bo106b2o14b2o130b2o163b3o140b3o164b2ob5o47bobo15bo6bo$436b2o
242bobo433b2obo14bo2b5o21b2o965b3o24b2o14bo3b2o2bo19b5o240bo11bobo2b2o
11bo3bobo4b3o415bo3bo12bo7b2o24bo84bo90bob2o404bobob3o4b2o3bobo17bobo
bo3bo157b3o255b2o65bo96b2o23b2o116b2o23b2o142b3o52bo17b5obo$680bobo433b
2o17bobo3bo20bo994bo14b3o3bo2b3o8bo7bob3o239bobo10b2obobo13b3o3b3o3b3o
415b4o20b2o199b3o407b2obo2bo5bob3o17bo4b3o2b2o156b2o321bobo95b2o22bo2b
o115b2o22bo2bo193b3o19b4ob2o$681bo206b2o227b3o16bo25bo2bo1005b3obo6b2o
4b5o7b2o2bo203bo33b5o11bo2bo20b2o2b3o417b3o15bo29bo85bobobobo315b2o181b
obo32bobo3bo153bo316bo8bobo93b3o24b2o114b3o24b2o130bo63bo26bo$301b2o50b
2o533b2o228bo41b2ob4o991bo11bobo2b2o11bo3bobo4b3o205bobo23bo7bob3o13b
o3b2o17bo438bo13b3o18bo405bobo180b2o32b2o159b2o98b2o4b2ob3o204bobo8bo
86b2o5b3o133b2o5b3o157b2o88bo$301b2o49bo2bo763bo2bo36bo20b3o973bobo10b
2obobo13b3o3b3o3b3o226b5o7b2o2bo15b2ob2o13b3o439bo2bo27bo409bo41b2o171b
o4b2obo154b2o98b2o3b2obo3bo25b2o274b2o4bo136b2o4bo152b3o4bob2o$353b2o
87bo92b2o579bo6bo35bo3b3o2bo664b2o285bo33b5o11bo2bo20b2o2b3o206bo2bo18b
o3bobo4b3o19bob2o13b2o439b3o484b2o4bo114b2o27b2o13b2o156b2o6b2o107b2o
29bo177bo2bo100bo2b2o138bo2b2o155bobo10b2o$441bobo94b2o576bo6bo35bo2b
o2bob3o3bobo657b2o284bobo23bo7bob3o13bo3b2o17bo214b2o18b3o3b3o3b3o476b
3o27bo5bo447b2ob4o3bo142b2o13b2o156b2o4b2o110bo2bo24bobo179b2o101bo2b
o139bo2bo155b2o10b2obo60bo$441bobo91b3ob2o575bo4b3o13bo23b2o4b3o4bo966b
5o7b2o2bo15b2ob2o13b3o216bo24b2o2b3o478bo2bo477b5o4b4o113bo3bo204b2ob
o107bob2o25b2o130b2o49bo101b3o19bo120b3o19bo148b2obo59bobo$428b3o11bo
96bo596bo26b2obobo950bo2bo18bo3bobo4b3o19bob2o13b2o242bo485bobo24bo2b
obo2bo2bobobo440b3o6bo118bo205b2o107b3o158b2o173bo142bo150bo61bo$429b
o99b2o4bo3bo84bo508b3obo26b2obo14bo6b2o930b2o18b3o3b3o3b3o276b3o486b3o
481bo119bo7bo6b2o306bo334bo142bo209b3o$429bo2bo98bo3bob2o86bo270b2o235b
2o32bo12b4o5b2o931bo24b2o2b3o278b2o522bo447b3o117bo4bo10bobo926bo66bo
$429bo2bo86b2o6bo2bo94bo227bo42b2o281bo3bo963bo316b3o944bo12b2o99bobo
bo4bo5bo19bo287b2o312b2o141b2o160b3o$430bobo86b2o5bo12bobo310b2o325bo
2bo961b3o260b2o55bobo443b2o44bo454bo12b2o99bo8bo24bobo286b2o36b2o168b
2o104b2o141b2o155b2o3bo$450bo88b2o310b5o271b3ob2o47b3o6bo11b2o638b2o301b
2o263bo54bobo443b2o614bo4b2obo24bo2bo175b2o146bo171bo403b2o3b2o84bo2b
o$406bo42bobo88bo309bo19bo250b2o3b4o58bob2ob3o4b3o638b2o564b2o55bo4b2o
485bo570bob2ob3o25bobo175b2o144bobo169b2o410bo3bo84bo$406bo42bobo397b
2o5bo13bo250b2o3bo5bo57b4o6b2obo915b2o56b3o283b3o3b2o924bo7bo124b3ob2o
18b3o5b3o321b2o448bo134b2obo80bo3bo$406bo43bo397b3ob2o8bobo5bo259bobo
54b3o2bo4b2o2b3o917bo55bobo289bo486bo437b3o5bobo147bo781bo133bo85b4o$
407b2o440bobob2o2b2o3bobo263b2obo62bo7bo916b2o56bobo236b3o46b4o924b2o
b4o2bo2bo146b2obo778bo132b2ob3o$407b3o19b2o419bo2bo2b2o5bo266b3o58b2o
4b2o978bo4b2o232bobo21bo25b2o910b2o14b3o2bo154b2o34bo877b3obo$407b2o118b
2o323b2o273b2o2bo61b3o980b3o3b2o232bobo20b3o24bo911bobo14bo2b2o2bo29b
2o96bo51b3o3b4o731bo145bo$422b2o103b2o325b2obo20b2o248bo2bo996b3o51bo
207bobo6bobo14bo4b2o15bo3bo475b2o458bo20b2obobo27b2o80b3o13bo51bobo3b
2ob2o301b2o143bobo6bobo272bo145b3o$422b2o34bo398bo12b3o5b2o28bo222bo37b
2o4bo673b2o277bobo21bo25b4o207bo9bobo13b3o3b2o14b4o26bo450b2o483bo18b
o100bo6bo51b3o2bo306bo143bo9bobo272bo146b2o$457bobo408b2o2bo19b3o12bo
bo218bo2bo37b2o2b2ob2o4bobo664b2o277bobo20b3o25b2o209bo2bo6bo20bo14b3o
2bobo21bobo952b2obo92b2o5b3o61b2o3bo299bobo144bo2bo6bo274b2o$427b3o27b
obo409b3o19bo15bobo219b2o25bo19b2o4bo2bo916bobo6bobo14bo4b2o15bo3bo24b
o212b3o22b4o16bo2bo2b2o18b5o938bob2obo9bob2o91b4o4bo63b4o300b2o147b3o
280b3o$406bo19bo2bo28bo411bo19bo4b2o11bo246bobo20bo3bo2bo915bo9bobo13b
3o3b2o14b4o265b2o14bo3b2o2bo11bo7bob3o938bo4b3o10bo92b2ob3ob2o9bo54b3o
10b2o720b2o$405bobo17bo3bo447b3o3bo5bo3bo261bo2b2o14bob2o5b2o917bo2bo
6bo20bo14b3o2bobo24bo237bo14b3o3bo2b3o5b5o7b2o2bo939bo5bo108bobo9b2o67b
2o734b4o$405bo2bo18bo449bob2ob3o4bo2bo4bo255b7o14bo929b3o22b4o16bo2bo
2b2o21bobo251b3obo6b2o5bo3bobo4b3o943bo3bo120bo497bo306bo3bo$423bo2bo
449b2o3bo2b3o2bo3bo3bo254bo2bo3bo14bob2o952b2o14bo3b2o2bo21b5o238bo11b
obo2b2o12b3o3b3o3b3o943bobo122bo482b2o7b2o2bobo304bo3b2o$422bo458bob2o
b2o2b2obob3o253b3o2b7o11bob2o952bo14b3o3bo2b3o10bo7bob3o237bobo10b2ob
obo20b2o2b3o1091b2o346b2o112b3o6b4o3bo280bo22b6o$404bo2bo447bo27bo2b2o
5bo259b3o2bo14b2obo680b2o285b3obo6b2o6b5o7b2o2bo236b4o11bo2bo21bo1097b
2o346bo113b2obobo7bo282bobo8bo16b2ob2o$404b2ob3o444bobo23b2ob2o9b4o251b
o4b2ob2o15b2o681b2o272bo11bobo2b2o13bo3bobo4b3o240b2o13bo3b2o15b3o943b
o500bobo116b2o10bob2o277bobo7bobo14bobob2o$406b2o2bo11b3o428bo4bo37b2o
250b2o5b3obo2bo966bobo10b2obobo15b3o3b3o3b3o239bo16b2ob2o14b2o921bo21b
4o6b2o135b2o32bo320b2o129bobo278bo2bo6bo2bo12bo3bo$407bo2bo11bobo414b
2o7b2o3bo4bo14b2o272bob2o5b3ob2o966b4o11bo2bo22b2o2b3o239bo2bo16bob2o
937bo20bo4bo4b3ob2o132bo17b2ob2o6bob2o2b2o28b2o420bo280bobo21bo3bo$407b
obo14b2o413b3o6b3ob4o17b2o272bo2b2o7bo969b2o13bo3b2o19bo243bo4bo957bo
19b2o10b2ob3o129bobo17b2o8bob5o30b2o704bo20bo3bo$422bo2bo413b2obobo9b
2ob2o286b4ob3o976bo16b2ob2o15b3o246bob2o961bo12bo3bobob2o4b3ob2o130b2o
18b2obobo5bo4b2o734b2o4bo2bo4bo8b3o$423b2o417b2o12bobo285bo2bobo2b2o973b
o2bo16bob2o15b2o244b3o961b3o2bo10b2o4b3o6b2o157bobo11bobo732bo5b2ob3o
3bo$423bo721bobobob3o971bo4bo274bo969bo4bo11bo6bo167b2o754b2o5bo$419b
o726b2ob3obo711b2o260bob2o264b2o9bobobo964bo3bo200b3o23b2o430bo285bo3b
2o11bo$420b2o703b3o18b4o2bobo710b2o257b3o268b2o5b5o3bo28b3o934b3o225b
2o2bo427b5o283bobo12b2o$418bobo703bo24bo3bo963bo285b2o2bo2bo28bobo951b
3o157b2o50bob2o432bo271bo33b3o$410b2o6bo705bo3bo20bo3bo953b2o9bobobo285b
2o29bobo949b2ob3o156bo49bob2o705bobo$410b2o4b2o412b3o289b2o3b2o20bo2b
o954b2o5b5o3bo28b3o285bo4b2o920bo8bobo13b2o2bo155bobo47b4o434b3o272bo
30bo5bo$417bobo410b3o288bo2bobo2bo985b2o2bo2bo28bobo284b3o3b2o919bobo
7bobo13b2ob2o155b2o47bobo433bo277bo21bo8bo5bo$418b2o411bo289bo2bobo2b
2o989b2o29bobo290bo919b2ob2o6bobo14bobo202bob3o4bo423b3o4b2o275bo22bo
7bo5bo$832b2o289b2ob2o2bo1020bo4b2o282b4o920b2o9bobo4b2o9bo202bobo2bo
3bo415b2o5bo4bo8bo292bobo$833bo290bo4bo743b2o275b3o3b2o245b2o36b2o927b
2o4b2o3bo2bo22b2o191bo420b2o6b2o2bo8bobo270bo17b3o11b3o$832bo294b2ob2o
741b2o281bo246b2o36bo922b3o2bo12bo2bo15b2o4b2o178b3o8b3o428bo12b2o267b
2ob3o13bo$1126b4o1022b4o1212bob2o29bo5b2o152b2o22b2ob2o4b2o717b3ob2o11b
o5bo18b3o$418b2o707b2o13b2o971b2o36b2o287bo923bo2bo32bo3b2o153bo22b7o
3b2o720bo18b2o$418b2o722b2o971b2o36bo286bobo926bo11bo177bobo7b2o19b2o
741b2o18bo5bo$814bo15b2o1606b5o924b2o11b2o3bo4b3o166b2o8b2o13b3o2b2o738b
2ob2o19bo5bo$813b3o14b2o1322bo274bo7bob3o939bo3b2o2bo3b2o189bo3b2o738b
3o22bo5bo$812b3obo14bo295bo15bo6bo1001bobo270b5o7b2o2bo925bo13bobob2o
197b2obo441b2o296b2o$811bo3bo312bo14bo2b6o729b2o267b5o256b2o12bo3bobo
4b3o926b2ob2o11bo3b2o2bo195bo443b2o296b2o26b3o$810b2o2bo2bo13bo295bo14b
o8bo729b2o258bo7bob3o257b2o12b3o3b3o3b3o928bo13b3o5bo3bo14b2o914b3o$809b
3o2b4o11b3o311b2obob3o986b5o7b2o2bo277b2o2b3o927bo16b3o6b3o15b2o906b2o
5b3o36b3o$811bo3bo2bo9bo2b2o310b2obob2o973b2o12bo3bobo4b3o280bo935bo949b
2o4bo$811bo6bo8bo3b2o312bo977b2o12b3o3b3o3b3o276b3o969b2o175b2o744bo2b
2o33bo5bo$813bo2bo11bo4bo298b2o1009b2o2b3o278b2o970bo176b2o745bo2bo33b
o5bo$815b2ob2o12bo292bo5bo2bo1008bo1237bo16bobo923b3o34bo5bo$815bo13b
2ob2o291bo5bo2bo1005b3o1237b3o15b2o$1125bo4b2ob2o8b3o743b2o249b2o277b
2o962bo979b3o$1131b2o13bo742b2o528b2o959b2ob2o$1143bo2bo2232b2ob2o941b
2o$814b2o328b2o985b2o1237b2o7b2ob2o941b2o$816bo1314b2o1237b2o8bo2bo24b
2o$814b2o321bo2243b3o24bo$1135bobo2243b2o23bobo$1130b2o2bo2bo2268b2o$
1130b2o3b2o760b2o$820bo314b2o2bo757b2o$820b2o314b2obo2307b3o$812b3o4b
ob2o312b2o3bo2237b2o$819bobo313bo2bobo2237b2o36b2o33b2o$819b2o314bo4b
o2275bo36bo10b3o$830b2o2582bobo30b4obo11bo$830b2o305bobo2274b2o31b5o$
1137bobo$825bo2638bo2bo$823b3o2571bo49bobo14bob2o$818b2o3bo2572b3o15b
o32bobo14bo2bo$818b2o3b2o2570b2ob2o14bo33bo15bobo5b2o$824bo3bo2565b2o
3bo7b4o3bo32bobo14b3o5b2o$825b2obo2566bobobobo5bo3bo36b2o$824bo2571b2o
bo2bo4b2o3bo35bo$823b2ob3o2544bobo23b2obo7b3o$824b3obo2543bo2bo24b2o10b
2obo$825bo2547bobo37b3o$825b3o2561b2o23bo$826b2o2561bobo71b3o15bo$3375b
o13b3o70bo3bo14b2o$3374bob2o11bo2bo68bo5bo12b2obo$3374bob2o12bo75bo9b
ob3ob3o$3373bo3bo12bo7b2o52b2o8bo4b2o7bob3o$3374b4o20b2o52b2o9b4o2bo9b
obo$3374b3o15bo72b2o2bo$3389bo13b3o33bo25bo2bo$3389bo2bo46bo$3388b3o48b
ob3o17b4o$3388b3o50b3o16bob2o$3388bo2bo50bo3bo6b3o6b2o4bo$3389bobo37b
2o11b2o2bo5bo6b3o2bo$3389b3o37b2o12bo4b6obo4bo4bo2bo$3443b2o4b6o$3449b
o$3378b2o60b2ob2o$3378b2o46bo4bo9b3o$3425bo6bo8bo20b3o$3426bo4bo$3437b
2o$3437b2o3$3386b2o$3386b2o!

[[ GRID ]]

[C_R_116]

Going back to the old cordership heisenburp discussion, two possible starting points:

Code: Select all

x = 66, y = 49, rule = LifeSuper
19.2A$19.4A$19.A.2A2$20.A$19.2A$19.3A$21.A$33.2A$33.2A7$36.A$35.2A$
34.A3.A$35.2A2.A$40.A$37.A.A$38.A19.2A$38.A18.A.A$38.2A18.A$38.2A$58.
A$57.A.A$13.A10.A32.A.A$12.5A5.A.2A11.A20.A$11.A10.A3.A9.A25.2A.A$12.
2A8.3A.A9.2A24.A.2A$13.2A9.2A12.A$2A13.A21.3A$2A35.3A7$8.2A$8.2A11.2A
$19.2A2.A$24.A3.A$18.A5.A3.A$19.A2.2A3.A.A$20.3A5.A$28.A!

and:

Code: Select all

x = 66, y = 49, rule = LifeSuper
19.2A$19.4A$19.A.2A2$20.A$19.2A$19.3A$21.A$33.2A$33.2A7$36.A$35.2A$
34.A3.A$35.2A2.A$40.A$37.A.A$38.A18.2A$38.A18.A.A$38.2A18.A$38.2A$58.
A$57.A.A$13.A10.A32.A.A$12.5A5.A.2A11.A20.A$11.A10.A3.A9.A25.2A.A$12.
2A8.3A.A9.2A24.A.2A$13.2A9.2A12.A$2A13.A21.3A$2A35.3A7$8.2A$8.2A11.2A
$19.2A2.A$24.A3.A$18.A5.A3.A$19.A2.2A3.A.A$20.3A5.A$28.A!

Period-46 Heisenburp:

Code: Select all

x = 67, y = 56, rule = LifeHistory
38.A$38.A5.3A$37.A.A3.2A2.A$38.A3.A5.A$38.A3.A$43.A2.2A$44.2A11.2A$
57.2A7$27.3A35.2A$27.3A21.A13.2A$28.A12.2A9.2A$.2A.A24.2A9.A.3A8.2A$.
A.2A25.A9.A3.A10.A$8.A20.A11.2A.A5.5A$7.A.A32.A10.A$7.A.A$8.A$27.2A$
27.2A$28.A$28.A$.2A24.A.A$.2A23.A$27.A2.2A$28.A3.A$30.2A$30.A4$.3A3.
3A$A2.A3.A2.A$2A.A3.A.2A$32.2A$32.2A$45.A$45.3A$46.2A$46.A2$44.2A.A$
44.4A$46.2A6$.2A5.2A$.2A5.2A!

[qqd]

...
Period-46 Heisenburp:

Code: Select all

x = 67, y = 56, rule = LifeHistory
38.A$38.A5.3A$37.A.A3.2A2.A$38.A3.A5.A$38.A3.A$43.A2.2A$44.2A11.2A$
57.2A7$27.3A35.2A$27.3A21.A13.2A$28.A12.2A9.2A$.2A.A24.2A9.A.3A8.2A$.
A.2A25.A9.A3.A10.A$8.A20.A11.2A.A5.5A$7.A.A32.A10.A$7.A.A$8.A$27.2A$
27.2A$28.A$28.A$.2A24.A.A$.2A23.A$27.A2.2A$28.A3.A$30.2A$30.A4$.3A3.
3A$A2.A3.A2.A$2A.A3.A.2A$32.2A$32.2A$45.A$45.3A$46.2A$46.A2$44.2A.A$
44.4A$46.2A6$.2A5.2A$.2A5.2A!

Smaller and reduced period:

Code: Select all

x = 67, y = 49, rule = B3/S23
38bo$38bo5b3o$37bobo3b2o2bo$38bo3bo5bo$38bo3bo$43bo2b2o$44b2o11b2o$57b
2o7$27b3o35b2o$27b3o21bo13b2o$28bo12b2o9b2o$b2obo24b2o9bob3o8b2o$bob2o
25bo9bo3bo10bo$8bo20bo11b2obo5b5o$7bobo32bo10bo$7bobo$8bo$27b2o$8bo18b
2o$8bo19bo$bo5b3o18bo$bo5b3o17bobo$obo4b3o16bo$bo6bo18bo2b2o$bo26bo3bo
$bo28b2o$bo6bo21bo$obo4b3o$bo5b3o$bo5b3o$8bo$8bo2$32b2o$32b2o$45bo$45b
3o$46b2o$46bo2$44b2obo$44b4o$46b2o!

This can handle all but 4 phases of Karel's p15. Yet this can handle all that Model D can handle, despite being miles smaller!
A higher-period oscillator to provide the spark is better in this case, as there are more phases which work. (The 4 sparking phases remain consistent). But it will also make the repeat time higher. Very neat observation!

[C_R_116]

Some corderships:

Code: Select all

x = 134, y = 131, rule = B3/S23
60bo$59bobo2b2o7b2o$58bo3b4o6b3o$61bo7bobob2o$56b2obo10b2o$57bobo$48b
2o8bo$48b2o4$86bo$84b2ob2o$86bo$70b2o$69bo2bo$68b2ob2o11b2o$71bo11bo2b
o$41b2o26b3o10bo3b2o$41b2o3b2o34bo4bo$40b2o2b3o36bo3bo$40b3o2b2o36bo2b
o$85bo2$69bo$69bo3bo$69bo2bo$68b2ob2o$69bobo$70bo2$81b2o$81b2o7$73b2o$
73b2o$85bo$84b3o$83bo2bo$84b3o32bo$20bo63b3o30b2ob2o$19bobo2b2o7b2o47b
ob2obo31bo$18bo3b4o6b3o46b3o2bo16b2o$21bo7bobob2o45b2ob4o15bo2bo$16b2o
bo10b2o49b3obo15b2ob2o11b2o$17bobo61b3o20bo11bo2bo$8b2o8bo62b2o19b3o
10bo3b2o$8b2o84b2o19bo4bo$94b2o20bo3bo$85b2o29bo2bo$83bob2o31bo$46bo
36b4o$44b2ob2o35bo17bo$46bo55bo3bo$30b2o38b2o30bo2bo$29bo2bo36bo2bo28b
2ob2o11bo5b2o7b2o$28b2ob2o11b2o23bobo17b3o10bobo11bobo3b3o6b3o$31bo11b
o2bo23bo17bob2o11bo12bo11bobob2o$b2o26b3o10bo3b2o39b2o28bo11b2o$b2o3b
2o34bo4bo40b2o2b2o3b2o$2o2b3o36bo3bo47b2ob2o$3o2b2o36bo2bo48bo4bo$45bo
49bo3b3o$96b2o4bo$29bo70bobo$29bo3bo66b2o$29bo2bo$28b2ob2o74b2o$29bobo
73b2ob3o$30bo74b2obobo$109bob2o$41b2o71bo3b2o$41b2o72bobo3bo5b2o$113b
3obob2o6b2o$113b4o3bo5$33b2o$33b2o84b2o$119b2o2$78bo$76b2ob2o$78bo$62b
2o$39bo21bo2bo$39bo20b2ob2o11b2o$38bobo22bo11bo2bo$35bo2b2o21b3o10bo3b
2o$34bo5bo12b2o19bo4bo$34bo5bo12b2o20bo3bo$35bo4bo34bo2bo$36bo40bo$37b
3o$26b2o33bo$26b2o33bo3bo$19bo17b2ob2o19bo2bo$18b3o15bo23b2ob2o11bo5b
2o7b2o$17b2ob2o18b2o6b3o10bobo11bobo3b3o6b3o$22bo14b3o7bob2o11bo12bo
11bobob2o$15b2obo4bo22b2o28bo11b2o$16bobo4bo23b2o2b2o3b2o$17bo4bo31b2o
b2o$54bo4bo$28b2o24bo3b3o$28b2o25b2o4bo$59bobo$59b2o2$66b2o$64b2ob3o$
64b2obobo$68bob2o$73bo3b2o$74bobo3bo5b2o$72b3obob2o6b2o$72b4o3bo6$78b
2o$78b2o!

The bottom one is able to reflect gliders:

Code: Select all

x = 93, y = 86, rule = B3/S23
20bo$19bobo2b2o7b2o$18bo3b4o6b3o$21bo7bobob2o$16b2obo10b2o$17bobo$8b2o
8bo$8b2o4$46bo$44b2ob2o$46bo$30b2o$29bo2bo$28b2ob2o11b2o$31bo11bo2bo$
b2o26b3o10bo3b2o14bo$b2o3b2o34bo4bo13bo$2o2b3o36bo3bo13b3o$3o2b2o36bo
2bo$45bo2$29bo$29bo3bo$29bo2bo$28b2ob2o$29bobo$30bo2$41b2o$41b2o7$33b
2o$33b2o3$78bo$76b2ob2o$78bo$62b2o$39bo21bo2bo$39bo20b2ob2o11b2o$38bo
bo22bo11bo2bo$35bo2b2o21b3o10bo3b2o$34bo5bo12b2o19bo4bo$34bo5bo12b2o20b
o3bo$35bo4bo34bo2bo$36bo40bo$37b3o$26b2o33bo$26b2o33bo3bo$19bo17b2ob2o
19bo2bo$18b3o15bo23b2ob2o11bo5b2o7b2o$17b2ob2o18b2o6b3o10bobo11bobo3b
3o6b3o$22bo14b3o7bob2o11bo12bo11bobob2o$15b2obo4bo22b2o28bo11b2o$16bo
bo4bo23b2o2b2o3b2o$17bo4bo31b2ob2o$54bo4bo$28b2o24bo3b3o$28b2o25b2o4b
o$59bobo$59b2o2$66b2o$64b2ob3o$64b2obobo$68bob2o$73bo3b2o$74bobo3bo5b
2o$72b3obob2o6b2o$72b4o3bo6$78b2o$78b2o!