Thread for your unsure discoveries

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
Jormungant
Posts: 610
Joined: May 27th, 2016, 1:01 am

Re: Thread for your unsure discoveries

Post by Jormungant » October 11th, 2022, 4:54 am

squareroot12621 wrote:
October 9th, 2022, 7:09 pm
These have to be known already.

Code: Select all

x = 38, y = 29, rule = LifeHistory
10.A.A$10.2A$11.A14$.A$.A.A20.A5.A3.3D$.2A5.A14.A2.2D.A5.2D$7.A15.3A2D
.3A2.D.D$7.3A23.D$32.D$.2C19.2C7.D$D2C2.D16.2C11.D.D$2D2.D5.D21.D2.D.
D$3.D3.D2.D20.3D.3D$D.D3.3D.D21.D4.D$2D5.D2.D26.D$3D7.D!
A variant of that actually produces a boat in a lane that is far away enough for the usually used push/pull/fire to be still used while the boats.

Code: Select all

x = 457, y = 309, rule = LifeHistory
34$304.3D7.D$304.2D8.D$304.D.D3.3D.D$307.D6.D$304.2D2.D5.D$304.D2C2.D
$305.2C2$196.3D7.D104.3A$196.2D8.D104.A$196.D.D3.3D.D98.2A5.A$8.3D7.D
180.D6.D98.A.A$8.2D8.D177.2D2.D5.D98.A$8.D.D3.3D.D177.D2C2.D$11.D6.D
178.2C$8.2D2.D5.D$8.D2C2.D189.3A$9.2C192.A$197.2A5.A$15.3A179.A.A126.
7B$15.A181.A128.6B$9.2A5.A309.5B$9.A.A313.4B$9.A316.4B$326.4BC$325.B
2.B2CB$316.2A7.2B2.CBCB$316.A.A6.3B2.3B$316.A8.4B2.2B$326.4B2.B$327.
4B$328.4B$329.B3C$329.BC2B$208.2A119.2BCB$208.A.A121.B8.8B$208.A132.
7B$20.2A319.6B3.4B$20.A.A318.4B6.3B$20.A321.4B6.2B$342.4BC6.B$341.B2.
B2CB$341.2B2.CBCB$233.8B100.3B2.4B6.5B$233.7B101.4B2.4B$233.6B103.4B
2.2B$45.8B180.4B106.4B2.B$45.7B182.4B106.4B$45.6B183.4BC106.B3C$45.4B
184.B2.B2CB105.BC3B$46.4B183.2B2.CBCB104.2BC2B$46.4BC182.3B2.3B107.2B
8.7B$45.B2.B2CB181.4B2.2B117.6B$45.2B2.CBCB181.4B2.B117.5B3.2B$45.3B
2.3B182.4B118.4B6.B$45.4B2.2B183.4B118.4B$46.4B2.B184.B3C117.4BC$47.
4B2.4B180.BC2B116.B2.B2CB$48.4B2.B3C179.2BCB116.2B2.CBCB$49.B3C2.C3B
181.B116.3B2.3B$49.BC3B2.C3B297.4B2.2B$49.2BC3B2.5B296.4B2.B$52.4B2.
4B187.4B106.4B$250.4B106.4B$250.4BC106.B3C$61.4B184.B2.B2CB105.BC2B$
62.4B183.2B2.CBCB104.2BCB$62.4BC182.3B2.3B107.B8.8B$61.B2.B2CB181.4B
2.2B116.7B$61.2B2.CBCB181.4B2.B116.6B3.4B$61.3B2.3B182.4B118.4B6.3B$
61.4B2.2B183.4B118.4B6.2B$62.4B2.B184.B3C117.4BC6.B$63.4B2.4B180.BC2B
116.B2.B2CB$64.4B2.B3C179.2BCB116.2B2.CBCB$65.B3C2.C2B182.B8.8B100.3B
2.4B6.5B$65.BC3B2.CB191.7B101.4B2.4B$65.2BC3B2.B191.6B103.4B2.2B$68.B
196.4B106.4B2.B$266.4B106.4B$266.4BC106.B3C$77.4B184.B2.B2CB105.BC3B$
78.4B183.2B2.CBCB104.2BC2B$78.4BC182.3B2.3B107.2B7.8B$77.B2.B2CB181.
4B2.2B116.7B$77.2B2.CBCB181.4B2.B116.6B3.4B$77.3B2.3B182.4B118.4B6.3B
$77.4B2.2B183.4B118.4B6.2B$78.4B2.B184.B3C117.4BC6.B$79.4B2.4B180.BC
2B116.B2.B2CB$80.4B2.B3C179.2BCB116.2B2.CBCB$81.B3C2.C2B182.B9.7B100.
3B2.4B6.5B$81.BC3B2.CB192.6B101.4B2.4B$81.2BC3B2.B192.5B103.4B2.2B$
84.B9.7B180.4B106.4B2.B$94.6B182.4B106.4B$94.5B183.4BC106.B3C$93.4B
184.B2.B2CB105.BC3B$94.4B183.2B2.CBCB104.2BC2B$94.4BC182.3B2.3B107.2B
$93.B2.B2CB181.4B2.2B$93.2B2.CBCB181.4B2.B118.4B3.4B$93.3B2.3B182.4B
118.4B6.3B.C2.3B$93.4B2.2B183.4B118.4B6.2B2C3.2B$94.4B2.B184.B3C117.
4BC6.BCBC3.B$95.4B2.4B180.BC2B116.B2.B2CB6.3B.B$96.4B2.B3C179.2BCB
116.2B2.CBCB6.2B.2B$97.B3C2.C2B182.B116.3B2.3B$97.BC3B2.CB299.4B2.2B$
97.2BC3B2.B300.4B2.B$100.B196.4B106.4B$298.4B106.4B$298.4BC106.B3C$
109.4B184.B2.B2CB105.BC2B$110.4B183.2B2.CBCB104.2BCB$110.4BC182.3B2.
3B107.B$109.B2.B2CB181.4B2.2B$109.2B2.CBCB181.4B2.B$109.3B2.3B182.4B$
109.4B2.2B183.4B$110.4B2.B184.B3C$111.4B2.4B180.BC2B$112.4B2.B3C179.
2BCB$113.B3C2.C2B182.B8.8B$113.BC3B2.CB191.7B118.B2CB$113.2BC3B2.B
191.6B119.2CB$116.B196.4B122.BC$314.4B122.B$314.4BC$125.4B184.B2.B2CB
102.2C$126.4B183.2B2.CBCB101.C.C13.B$126.4BC182.3B2.3B101.C15.B$125.B
2.B2CB181.4B2.2B117.2B$125.2B2.CBCB181.4B2.B$125.3B2.3B182.4B$125.4B
2.2B183.4B$126.4B2.B184.B3C$127.4B2.4B180.BC2B$128.4B2.B3C179.2BCB$
129.B3C2.C2B182.B$129.BC3B2.CB$129.2BC3B2.B$132.B196.4B$330.4B$145.2B
3.4B176.4BC$141.4B6.3B.C2.3B168.B2.B2CB$142.4B6.2B2C3.2B168.2B2.CBCB$
142.4BC6.BCBC3.B168.3B2.3B$141.B2.B2CB6.3B.B170.4B2.2B$141.2B2.CBCB6.
2B.2B170.4B2.B$141.3B2.4B6.5B170.4B$141.4B2.4B181.4B$142.4B2.4B181.B
3C$143.4B2.4B180.BC2B$144.4B2.B.2A179.2BCB$145.B3C2.A3B181.B$145.BC3B
2.A3B$145.2BC3B2.5B$148.4B2.4B187.4B$153.5B188.4B$346.4BC$345.B2.B2CB
$345.2B2.CBCB$345.3B2.3B$345.4B2.2B$346.4B2.B$347.4B$348.4B$349.B3C$
349.BC2B$349.2BCB$352.B9.7B$362.6B$362.5B$361.4B$362.4B$362.4BC$361.B
2.B2CB$361.2B2.CBCB$361.3B2.3B$361.4B2.2B$362.4B2.B$363.4B$364.4B$
365.B3C$365.BC2B$365.2BCB$368.B3$377.4B$378.4B$378.4BC$377.B2.B2CB$
377.2B2.CBCB$377.3B2.3B$377.4B2.2B$182.3C193.4B2.B$182.C196.4B$183.C
196.4B$381.B3C$194.2C185.BC2B$194.C.C184.2BCB$194.C189.B3$393.4B$394.
4B$394.4BC$393.B2.B2CB$393.2B2.CBCB$393.3B2.3B$393.4B2.2B$394.4B2.B$
395.4B$396.4B$397.B3C$397.BC2B$397.2BCB$400.B3$409.4B$410.4B$410.4BC$
409.B2.B2CB$409.2B2.CBCB$409.3B2.3B$409.4B2.2B$410.4B2.B$411.4B$412.
4B$413.B3C$413.BC2B$413.2BCB$416.B5$427.3A$427.A$421.2A5.A$421.A.A$
421.A3$392.4B$391.4B$390.4B$389.4B$389.3B$389.2B$389.B5$432.2A$432.A.
A$432.A!

Another wierd feature is that if one stacks up blocks on the diagonal, that boat laying operation successfully remove blocks ahead, and put back one valid block pulled by 2.

Code: Select all

x = 101, y = 67, rule = LifeHistory
2$2.2C30.2D$2.2C30.2D2$5.2C30.2C$5.2C30.2C2$11.3A29.3A$11.A31.A$5.2A
5.A24.2A5.A$5.A.A29.A.A$5.A31.A14$16.2A30.2A$16.A.A29.A.A$16.A31.A29$
54.B2.4B25.B2.4B$54.3B.4B24.3B.4B$54.3B2.4B23.3B2.4B$54.4B2.4B22.4B2.
4B$55.2B2C2.6B20.2B2C2.6B$56.2C2B2.2B2CB21.2C2B2.2B2CB$57.BC2B2.BCBC
22.BC2B2.BCBC$58.4B2.C3B22.4B2.C3B!
I have shown that one can use the boat to add block onto the diagonal itself, so that could be used for "weird" data storage I suppose, which can count the number of block found on a diagonal, by querying the ending position of the block in some fashion after sending a arbritrary number of these 5 glider volleys.

User avatar
squareroot12621
Posts: 630
Joined: March 23rd, 2022, 4:53 pm

Re: Thread for your unsure discoveries

Post by squareroot12621 » October 11th, 2022, 7:43 am

C_R_116 wrote:
October 11th, 2022, 3:58 am
I found a 64-cell Period 2 oscillator
It looks somehow familiar.

Code: Select all

x = 17, y = 17, rule = B3/S23
8bo$7bobo$8bo$5bo5bo$5b7o$3b2o7b2o$4bo2b3o2bo$bo2bobo3bobo2bo$obobobo
3bobobobo$bo2bobo3bobo2bo$4bo2b3o2bo$3b2o7b2o$5b7o$5bo5bo$8bo$7bobo$8b
o!
That is a stator variant of another period 2 oscillator. :)

Code: Select all

x = 33, y = 17, rule = B3/S23
8bo$7bobo$8bo$5bo5bo14bo$5b7o12b3o$3b2o7b2o9bo$4bo2b3o2bo10bo2b3o$bo2b
obo3bobo2bo6b2obo3bo$obobobo3bobobobo8bo3bo$bo2bobo3bobo2bo9bo3bob2o$
4bo2b3o2bo13b3o2bo$3b2o7b2o17bo$5b7o16b3o$5bo5bo16bo$8bo$7bobo$8bo!

Code: Select all

4b8o$4b8o$4b8o$4b8o$4o8b4o$4o8b4o$4o8b4o$4o8b4o$4o8b4o$4o8b4o$4o8b4o$4o8b4o$4b8o$4b8o$4b8o$4b8o![[ THEME 0 AUTOSTART GPS 8 Z 16 T 1 T 1 Z 19.027 T 2 T 2 Z 22.627 T 3 T 3 Z 26.909 T 4 T 4 Z 32 T 5 T 5 Z 38.055 T 6 T 6 Z 45.255 T 7 T 7 Z 53.817 LOOP 8 ]]

qqd
Posts: 424
Joined: September 10th, 2022, 4:24 pm

Re: Thread for your unsure discoveries

Post by qqd » October 11th, 2022, 10:33 am

Is this keeper reaction useful?

Code: Select all

x = 7, y = 10, rule = B3/S23
2o$2o4$3b2o$3bo$3bo$4b3o$6bo!
My new p2p:

Code: Select all

x = 20, y = 13, rule = B3/S23
4bo5b2obo$2b3o5bob2o$bo14b2o$bo2b3o4b3o2bobo$2obo3bo2bo3bobobo$3bo3b4o
3bobob2o$3bo3bo2bo3bobobo$4b3o4b3o2bobo$16b2o$4b3o4b3o$4bo2bo3bo2bo$6b
obo4bobo$7bo6bo!

hotdogPi
Posts: 1615
Joined: August 12th, 2020, 8:22 pm

Re: Thread for your unsure discoveries

Post by hotdogPi » October 11th, 2022, 10:50 am

qqd wrote:
October 11th, 2022, 10:33 am
Is this keeper reaction useful?

Code: Select all

x = 7, y = 10, rule = B3/S23
2o$2o4$3b2o$3bo$3bo$4b3o$6bo!
I don't recognize the active region.
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,47,48,54,56,72,74,80,92,96S
217,486,576

S: SKOP
G: gun

qqd
Posts: 424
Joined: September 10th, 2022, 4:24 pm

Re: Thread for your unsure discoveries

Post by qqd » October 11th, 2022, 12:49 pm

hotdogPi wrote:
October 11th, 2022, 10:50 am
qqd wrote:
October 11th, 2022, 10:33 am
Is this keeper reaction useful?

Code: Select all

x = 7, y = 10, rule = B3/S23
2o$2o4$3b2o$3bo$3bo$4b3o$6bo!
I don't recognize the active region.
The active region is one I've been investigating recently, however as it's not very common it's pretty useless (unless someone has a way to make that pattern or any variants?)
My new p2p:

Code: Select all

x = 20, y = 13, rule = B3/S23
4bo5b2obo$2b3o5bob2o$bo14b2o$bo2b3o4b3o2bobo$2obo3bo2bo3bobobo$3bo3b4o
3bobob2o$3bo3bo2bo3bobobo$4b3o4b3o2bobo$16b2o$4b3o4b3o$4bo2bo3bo2bo$6b
obo4bobo$7bo6bo!

IlTifoneHaiyan
Posts: 6
Joined: October 6th, 2022, 10:19 am
Location: Sharm el-Shrek

Re: Thread for your unsure discoveries

Post by IlTifoneHaiyan » October 14th, 2022, 9:35 am

Code: Select all

x = 84, y = 29, rule = B3/S23
76bobo$76bo2bo$5bobo71b2o$4bo2bo73bo$3b2o74b4o$2bo75bo4bo$b4o67b3o5bo
2bo$o4bo68bo5bo2bo$o2bo5b3o60bobo7bo$o2bo5bo66bob4o$bo7bobo61bo2bo3bo$
2b4obo60b2o9bo$3bo3bo2bo55bo4bo3b5o$4bo9b2o56bo$4b5o3bo4bo48bo5bo2b5o$
11bo55b6o6bo$4b5o2bo5bo58bo3bo$4bo6b6o59bob4o$3bo3bo66bo7bo$2b4obo66bo
5bo2bo$bo7bo61bob2o5bo2bo$o2bo5bo61bo6bo4bo$o2bo5b2obo66b4o$o4bo6bo68b
o$b4o74b2o$2bo73bo2bo$3b2o71bobo$4bo2bo$5bobo!
Is this already discovered?
duemilioni.png
duemilioni.png (19.75 KiB) Viewed 2160 times
Here's what it looks like after 2 million generations.

qqd
Posts: 424
Joined: September 10th, 2022, 4:24 pm

Re: Thread for your unsure discoveries

Post by qqd » October 18th, 2022, 11:27 am

Can this p3 partial be completed (White part)?

Code: Select all

x = 5, y = 9, rule = LifeHistory
2.2C$3.C$.2C$.C$C2.C$.2C$3.A$.2A$.A2.A!
My new p2p:

Code: Select all

x = 20, y = 13, rule = B3/S23
4bo5b2obo$2b3o5bob2o$bo14b2o$bo2b3o4b3o2bobo$2obo3bo2bo3bobobo$3bo3b4o
3bobob2o$3bo3bo2bo3bobobo$4b3o4b3o2bobo$16b2o$4b3o4b3o$4bo2bo3bo2bo$6b
obo4bobo$7bo6bo!

googleplex
Posts: 314
Joined: January 24th, 2018, 4:36 pm
Location: The hertzsprung gap

Re: Thread for your unsure discoveries

Post by googleplex » October 18th, 2022, 2:31 pm

qqd wrote:
October 18th, 2022, 11:27 am
Can this p3 partial be completed (White part)?

Code: Select all

x = 5, y = 9, rule = LifeHistory
2.2C$3.C$.2C$.C$C2.C$.2C$3.A$.2A$.A2.A!
JLS says so:

Code: Select all

x = 10, y = 16
5boo$4bobo$4boo$3boo$3bo$4b3o$6bo$bb3oboo$bbobbobo$3bobbo$4boo!
Look at me! I make patterns in golly and go on the forums! I wanna be Famous!

User avatar
confocaloid
Posts: 2961
Joined: February 8th, 2022, 3:15 pm

Re: Thread for your unsure discoveries

Post by confocaloid » October 18th, 2022, 3:05 pm

qqd wrote:
October 11th, 2022, 12:49 pm
hotdogPi wrote:
October 11th, 2022, 10:50 am
qqd wrote:
October 11th, 2022, 10:33 am
Is this keeper reaction useful?

Code: Select all

x = 7, y = 10, rule = B3/S23
2o$2o4$3b2o$3bo$3bo$4b3o$6bo!
I don't recognize the active region.
The active region is one I've been investigating recently, however as it's not very common it's pretty useless (unless someone has a way to make that pattern or any variants?)
12x12-1G-octohash/find-octohash-Python3.py gives these three:

Code: Select all

x = 99, y = 25, rule = LifeHistory
85.2A$85.2A6$4.2A4.2A$4.A6.A45.2A$5.3A3.A.A42.A2.A26.A$7.A4.2A42.A2.A
26.A$2C38.2C15.2A21.2C4.A$2C38.2C38.2C$52.2A43.A$51.A2.A41.2A$52.A.A
41.A.A$53.A6$18.3A41.2A$18.A43.A.A$19.A42.A!
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

qqd
Posts: 424
Joined: September 10th, 2022, 4:24 pm

Re: Thread for your unsure discoveries

Post by qqd » October 19th, 2022, 11:46 am

googleplex wrote:
October 18th, 2022, 2:31 pm
qqd wrote:
October 18th, 2022, 11:27 am
Can this p3 partial be completed (White part)?

Code: Select all

x = 5, y = 9, rule = LifeHistory
2.2C$3.C$.2C$.C$C2.C$.2C$3.A$.2A$.A2.A!
JLS says so:

Code: Select all

x = 10, y = 16
5boo$4bobo$4boo$3boo$3bo$4b3o$6bo$bb3oboo$bbobbobo$3bobbo$4boo!
So the rotor is new?
My new p2p:

Code: Select all

x = 20, y = 13, rule = B3/S23
4bo5b2obo$2b3o5bob2o$bo14b2o$bo2b3o4b3o2bobo$2obo3bo2bo3bobobo$3bo3b4o
3bobob2o$3bo3bo2bo3bobobo$4b3o4b3o2bobo$16b2o$4b3o4b3o$4bo2bo3bo2bo$6b
obo4bobo$7bo6bo!

Sokwe
Moderator
Posts: 2683
Joined: July 9th, 2009, 2:44 pm

Re: Thread for your unsure discoveries

Post by Sokwe » October 19th, 2022, 11:33 pm

qqd wrote:
October 19th, 2022, 11:46 am
googleplex wrote:
October 18th, 2022, 2:31 pm
qqd wrote:
October 18th, 2022, 11:27 am
Can this p3 partial be completed (White part)?

Code: Select all

x = 5, y = 9, rule = LifeHistory
2.2C$3.C$.2C$.C$C2.C$.2C$3.A$.2A$.A2.A!
JLS says so:

Code: Select all

x = 10, y = 16
5boo$4bobo$4boo$3boo$3bo$4b3o$6bo$bb3oboo$bbobbobo$3bobbo$4boo!
So the rotor is new?
It was found by Kazyan 5 years ago. I'm not aware of any earlier mention of this p3.
-Matthias Merzenich

mniemiec
Posts: 1590
Joined: June 1st, 2013, 12:00 am

Re: Thread for your unsure discoveries

Post by mniemiec » October 20th, 2022, 1:30 am

Sokwe wrote:
October 19th, 2022, 11:33 pm
It was found by Kazyan 5 years ago. I'm not aware of any earlier mention of this p3.
I knew that I had seen it before; I just didn't remember where. It turns out that there are actually 4 instantiations of it in the 21-bit P3s:

Code: Select all

x = 36, y = 11, rule = B3/S23
5b2o25b2o$bo4bo4bo4b2o3bo9bo2bo$obobo5bobobo2bo2bobobob2o2bobo2bo$o2b
3o4bo2b3o4bo2b3obo2bo2b3o2$b3o7b3o7b3o7b3o$4bo9bo9bo9bo$2bobo7bobo7bob
o7bobo2$bobo7bobo7bobo7bobo$b2o8b2o8b2o8b2o!

gravity
Posts: 3
Joined: October 20th, 2022, 1:09 pm
Location: this forum

Re: Thread for your unsure discoveries

Post by gravity » October 20th, 2022, 1:35 pm

Hi everyone!

I found a puffer-based methuselah that does not grow forever and stabilizes after 13,629,876 generations. Called 13629876M? It fits into a 20x20 bounding box. I used the same puffer dani used in 4764364M with a randomized 9x9 box in the opposite corner.

Code: Select all

x = 20, y = 20, rule = B3/S23
5b4o$9bo$9bo$10b2o6$o$o$o11bob2o2b2o$b2o8bo3b3obo$b3o8bobo2bo$b2o11bo
4bo$12b3obo2bo$11bob4obo$15bo2b2o$13b5obo$13b2o4bo!
I am brand new to this forum, so I apologize if I have posted this to the wrong thread and/or made some other error.
Still Life. Oscillator. Spaceship.

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Re: Thread for your unsure discoveries

Post by dvgrn » October 20th, 2022, 1:56 pm

gravity wrote:
October 20th, 2022, 1:35 pm
Hi everyone!

I found a puffer-based methuselah that does not grow forever and stabilizes after 13,629,876 generations. Called 13629876M? It fits into a 20x20 bounding box. I used the same puffer dani used in 4764364M with a randomized 9x9 box in the opposite corner.

Code: Select all

x = 20, y = 20, rule = B3/S23
5b4o$9bo$9bo$10b2o6$o$o$o11bob2o2b2o$b2o8bo3b3obo$b3o8bobo2bo$b2o11bo
4bo$12b3obo2bo$11bob4obo$15bo2b2o$13b5obo$13b2o4bo!
I am brand new to this forum, so I apologize if I have posted this to the wrong thread and/or made some other error.
Wow, that's an impressive one -- especially because of the grandstanding it does right at the beginning, where the backwards stream drills through the ash just before T=8000.

Usually that's a death sentence for novelty, but a still-active pattern off to the side produces a Herschel that spits out a single glider that makes all the difference, timed just right to interact with the escaping stream and restart the crystal formation ... so it ends up going on a little while longer than 8000 ticks.

It does seem like this should find a place at the top of the List_of_long-lived_methuselahs#Puffer-based_methuselahs, in some form. Let's see what kind of reductions people might be able to find!

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Re: Thread for your unsure discoveries

Post by dani » October 20th, 2022, 3:42 pm

Since the puffer moves out of the way before the ash stabilizes, this 27-cell equivalent can be constructed:

Code: Select all

x = 22, y = 20, rule = B3/S23
5b4o$9bo$9bo$10b2o6$o$o$o$b2o$b3o$b2o$19bo$18bo$17bo2bo$18bo2bo$19b3o!
I recall that the search I did yielded a lot of zz_LINEARs, and within those I found the 4.7m figure. However, I didn't end up checking them all because the process was quite tedious. With a dedicated search program maybe 20m would be possible (although I'm not at the behest of doing it myself, as I already have one CGoL-related project on the backburner, wink wink)

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Re: Thread for your unsure discoveries

Post by Kazyan » October 20th, 2022, 6:36 pm

To stay within 20x20, this variant saves ten cells and one column:

Code: Select all

x = 19, y = 20, rule = B3/S23
5b4o$9bo$9bo$10b2o6$o13bo$o$o8bo2b2o$b2o6bo5bo$b3o6b2o2b2o$b2o10bo3b2o
$11bobo4bo$13b2o2bo$16bo$12b2o2bo$13bob4o!
EDIT: Much better:

Code: Select all

x = 20, y = 16, rule = B3/S23
5b4o$9bo$9bo$10b2o4$15bo$16bo$o13b2o$o15bobo$o15bo$b2o11bo$b3o11b3o$b
2o12bob2o$18b2o!
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Re: Thread for your unsure discoveries

Post by qqd » October 21st, 2022, 3:03 am

gravity wrote:
October 20th, 2022, 1:35 pm
Hi everyone!

I found a puffer-based methuselah that does not grow forever and stabilizes after 13,629,876 generations. Called 13629876M? It fits into a 20x20 bounding box. I used the same puffer dani used in 4764364M with a randomized 9x9 box in the opposite corner.

Code: Select all

x = 20, y = 20, rule = B3/S23
5b4o$9bo$9bo$10b2o6$o$o$o11bob2o2b2o$b2o8bo3b3obo$b3o8bobo2bo$b2o11bo
4bo$12b3obo2bo$11bob4obo$15bo2b2o$13b5obo$13b2o4bo!
I am brand new to this forum, so I apologize if I have posted this to the wrong thread and/or made some other error.
Amazing! It's not normal for a first post to be mentioned in the wiki! The lifespan is more than 3 times the previous record-holder.
My new p2p:

Code: Select all

x = 20, y = 13, rule = B3/S23
4bo5b2obo$2b3o5bob2o$bo14b2o$bo2b3o4b3o2bobo$2obo3bo2bo3bobobo$3bo3b4o
3bobob2o$3bo3bo2bo3bobobo$4b3o4b3o2bobo$16b2o$4b3o4b3o$4bo2bo3bo2bo$6b
obo4bobo$7bo6bo!

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Re: Thread for your unsure discoveries

Post by dvgrn » October 21st, 2022, 11:08 am

qqd wrote:
October 21st, 2022, 3:03 am
Amazing! It's not normal for a first post to be mentioned in the wiki! The lifespan is more than 3 times the previous record-holder.
Technically 13629876/4764364 is around 2.8608. And the new methuselah is clearly some kind of record-holder, but it's not entirely a replacement for dani's pattern -- 4764364M is 16x16, whereas Kazyan's variant of 13629876M is 16x20.

Size is a slippery slope for methuselahs. If you keep adding a few columns here and a few rows there, eventually you'll get up to sizes like 111x90 where the record-holding lifespan is a truly staggeringly large number that makes 13 million basically the same thing as zero.

Anyway, there are probably 20x20 and maybe even 16x20 methuselahs that will eventually be found that can beat this record, but it's definitely an impressive new record for the moment!

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Re: Thread for your unsure discoveries

Post by C28 » October 23rd, 2022, 7:19 pm

Code: Select all

x = 12, y = 9, rule = B3/S23
o$2o$2o$bo3$9b3o$9bobo$9bobo!
not sure how easy it would be to keep the toad from being destroyed while allowing the pi to form, but who knows?
- Christopher D'Agostino

adopted father of the U-turner

Code: Select all

x = 11, y = 15, rule = B3/S23
9bo$8bobo$8bobo$9bo8$b3o$b3o$obo$2o!
the U-turner gallery
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Re: Thread for your unsure discoveries

Post by C_R_116 » October 25th, 2022, 6:39 pm

I found a worker bee oscillator using 50P9's instead of eaters.

Code: Select all

x = 18, y = 28, rule = B3/S23
3bob2o4b2obo$3b2o2bo2bo2b2o$b2o3bo4bo3b2o$o3b2ob4ob2o3bo$b3obobo2bobo
b3o$3bobob4obobo$5bo2b2o2bo$6b2o2b2o4$9bo$8bobo$7bo3bo$7bo3bo$8bobo$9b
o4$6b2o2b2o$5bo2b2o2bo$3bobob4obobo$b3obobo2bobob3o$o3b2ob4ob2o3bo$b2o
3bo4bo3b2o$3b2o2bo2bo2b2o$3bob2o4b2obo!
By: C.R. Hilton, currently working on another cool spaceship.

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Re: Thread for your unsure discoveries

Post by Entity Valkyrie 2 » October 25th, 2022, 11:07 pm

C_R_116 wrote:
October 25th, 2022, 6:39 pm
I found a worker bee oscillator using 50P9's instead of eaters.

Code: Select all

x = 18, y = 28, rule = B3/S23
3bob2o4b2obo$3b2o2bo2bo2b2o$b2o3bo4bo3b2o$o3b2ob4ob2o3bo$b3obobo2bobo
b3o$3bobob4obobo$5bo2b2o2bo$6b2o2b2o4$9bo$8bobo$7bo3bo$7bo3bo$8bobo$9b
o4$6b2o2b2o$5bo2b2o2bo$3bobob4obobo$b3obobo2bobob3o$o3b2ob4ob2o3bo$b2o
3bo4bo3b2o$3b2o2bo2bo2b2o$3bob2o4b2obo!
Here is a wonky hybrid of worker bee and snacker stabilized by a 48P9 (without its eaters) and a p3 sparker:

Code: Select all

x = 18, y = 26, rule = B3/S23
2o$bo$bob2o$2bo2bo$5bo$3bo$bo3bo2b2o$b2ob3o2bo$b3o2b3o$3bo12b2o$4bobo
9bo$14bobo$14b2o$10bo$5b5ob2o$10bo$2b2o10b2o$bobo10bobo$bo14bo$2o14b2o
$7b3o$6bo3bo$5bo5bo$3ob2o2bo2b2ob3o$obob2o5b2obobo$b2o2b2o3b2o2b2o!
Here is a p24 traffic light hassler that I found when messing around with the hybrid worker bee snacker:
(The 64P6s can probably be replaced with smaller p8 sparkers)

Code: Select all

x = 32, y = 39, rule = B3/S23
9b2o$5b2obobo$6bobo$6bo2bo$5b2obobob2ob2o$4bo3b2o3bob2o$5b3o5bo$8b5ob
3o$5b2o9bo$4bob2o2b6o$4bo15b2o$5b3ob4ob4obo2bo$7b8o2bobobo$20bob2o$21b
3o$3o19b2o$3o$3o$3b3o11bo$3b3o6b5ob2o$3b3o11bo8b3o$26b3o$26b3o$29b3o$
29b3o$29b3o$7b8o$5b3ob4ob3o$4bo12bo$4bob2o2b7o$5b2o$8b5obo$5b3o5bobo$
4bo3b2o3bobo$5b2obobob2ob2o$6bo2bo$6bobo$5b2obobo$9b2o!
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Re: Thread for your unsure discoveries

Post by get_Snacked » October 27th, 2022, 8:14 pm

when messing with Narcissus (xs36_rr0vhe0ehv0rr) predecessors, i found this twenty-six-cell SL with two fourteen-cell predecessors:

Code: Select all

x = 16, y = 9, rule = B3/S23
3b2o8b2o$4bo9bo2$o3bo6bo2bo$2o2b2o4b2o2b2o$bo3bo4bo4bo2$4bo9bo$3b2o8b
2o!
therefore, this SL is tied with | scratch the following text in braces: {Mickey Mouse (head down to the bottom for the other fourteen-cell predecessor) as the two xs26's (that i know) that have a fourteen-cell predecessor.}

this SL is also capable of being turned into a twenty-five-cell SL with just two gliders, similarly to the cloverleaf+1 (xp4_8eh5e0e5he8gz178a707a871) > cloverleaf.
it uses the symmetrical two-glider collision of the bi-block, and this isn't very interesting if i would say so myself, so let's move on to my most unsure part.

removing the leftmost pre-beehive predecessor makes a partial result that could possibly lead to the creation of many newer SL's. here are two examples:

Code: Select all

#C Take note on generations three and six for the left and right partial result respectively; I don't know how to stop twice as it keeps saying "STOP a overwrites b."
x = 37, y = 32, rule = B3/S23
4b2o11b2o$3bo2bo9bo2bo$3bobo2b2o3b2o2bobo$2b2obob2obobob2obob2o$bo3bo
4bobo4bo3bo$2b2obob2obobob2obob2o$3bobo2b2o3b2o2bobo$3bo2bo9bo2bo$4b2o
11b2o4$3b2o12b2o13b2o$2bo2bo10bo2bo11bo2bo$2bobo2b2o4b2o2bobo10bobobo
$b2obob2obo2bob2obob2o7b3obob2o$o3bo4b4o4bo3bo5bo4bo3bo$b2obob2obo2bo
b2obob2o7b3obob2o$2bobo2b2o4b2o2bobo10bobobo$2bo2bo10bo2bo11bo2bo$3b2o
12b2o13b2o3$17b2o13b2o$17b2o13b2o2$13bo4b2o8b2o3b2o$13b2o2bo2bo7b2o2b
o2bo$13bo4b2o8b2o3b2o2$17b2o13b2o$17b2o13b2o!
could these possibly be used to create better SL opportunities?

TL;DR (in which it probably isn't THAT long):
  • xs26 with 14-cell predecessor
  • capability of getting a cell removed
  • partial results for new SL's
1983263225470666662666647618

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Re: Thread for your unsure discoveries

Post by C_R_116 » October 28th, 2022, 5:25 am

Hello!

I found a puffer with a HUGE period; along with that, it creates mangoes, a rather uncommon still life in puffers.

Here is the predecessor of the pattern.

Code: Select all

x = 37, y = 31, rule = B3/S23
2$23b2o2bobo$12b2o8b3obo3bo$11bo2bo6b2o6bo2b3o$12bo2bo6bob5o$13b2o8b4o
$25bo4$22b2o$21bo2bo$22b2o3$3b3o26b2o$2bo2bo22bo$2bo3bo21b5obo$b2obob
o19bo3bo2b3o$b2ob2o12b4o5bobo$2b3o12b2o4bo3bo8bo$17b3o4bo11bo$19bo5bo
10bo$17b2o$17b2o2b2o4bo$3b3o11bo9bo$18bo2bo3bo$19bo$20b2obo$22bo!
The engine is almost similar to the engine in the puffer-methuselah 13629876M. What I've noticed is, on the line it heads, there will be a rise (increase of covered area from the puffers remains) and then a depression (decrease of area from the puffers remains).

You can see the changes of area down here:

Code: Select all

x = 2013, y = 2108, rule = B3/S23
169$130b2o$130b2o$142b3o3$132bo$132bo$132bo2$118b2o14b3o$118b2o$132bo
$132bo$132bo$137bo$113bo22bobo$112bobo21bobo$112bo2bo21bo$113b2o34bo$
149bo$149bo5bo$154bobo$131bo15bo6bobo$130bobo14bo7bo$130bobo14bo$131b
o2$126b2o7b2o43b2o$125bo2bo5bo2bo41bobo$126b2o7b2o13b2o27b2o$150b2o25b
2o$131bo44bobo$130bobo43b2o$130bobo$131bo3$136b2o$135bo2bo23b3o$136b2o
$143b2o21bo$143b2o21bo$166bo4$255b2o$255b2o$152bo40b2o$151bobo38bo2bo
$151bobo39b2o$152bo3$156b2o$156b2o$240b3o2$133bo$120bo12bo12bo$119bob
o11bo11bobo41bo79bo$119bobo24b2o10b2o28bobo77bobo$120bo33bo3b2o28bobo
43bo33bobo$153bobo33bo35b2o7bo34bo$152bo2bo69b2o7bo$153b2o$144bo62bo$
143bobo21b2o37bobo8b2o15bo$143bobo21b2o37bobo8b2o14bobo$144bo27b2o33b
o25bobo37b2o$172b2o60bo38b2o$186bo24b2o67b2o$185bobo5b3o14bo2bo15bo49b
obo$186b2o23b2o16bo50bo$191bo37bo$191bo$135b2o54bo$135b2o21b2o$158b2o
13bo57b2o$173bo56bo2bo$173bo57bo2bo$178b2o52b2o$160b2o16b2o$160b2o$143b
2o114bo$143b2o114bo$259bo$172b3o101b2o$204b3o25bo10bo11b3o11b3o4b2o$176b
o55bo9bobo$176bo55bo9bo2bo$176bo66b2o14b3o$151b2o151b2o$151b2o104bo5b
o40bobo$226b2o18b2o9bo5bo41b2o$185b3o37bo2bo16bo2bo8bo5bo$219b2o5b2o18b
2o$183bo5bo28bo2bo37b3o$183bo5bo28bo2bo$183bo5bo29b2o$159b2o$159b2o24b
3o$257b2o4bo8b2o$181b2o16bo22bo9b2o23b2o4bo8b2o21b2o$181b2o16bo22bo9b
2o15b2o12bo31b2o$199bo22bo26b2o3$167b2o66bo$167b2o30b3o32bobo$190b3o41b
obo$235bo63b2o$180b2o77b2o38b2o$179bo2bo16b2o20b2o7b2o7b2o18b2o$180b2o
16bo2bo13b2o4b2o6bo2bo5bo2bo$199b2o14bobo12b2o7b2o99b2o$175b2o8bo30bo
123b2o$175b2o7bobo106b3o$184bobo112b2o$185bo113b2o31b2o$191b2o139b2o$
191b2o$200b2o$200b2o$183b2o69b2o15b2o34b2o$183b2o69b2o15b2o34b2o2$249b
2o$211bo37b2o92bo$210bobo12b3o115bo$210bobo130bo$211bo$191b2o160b2o$191b
2o13b2o145bobo$205bo2bo12b2o16b2o113bo$206b2o12bo2bo15b2o49b2o13b2o$221b
2o36bo25bo4b2o12bo2bo$211bo47bo24bobo18b2o$210bobo46bo24bobo$210bobo41b
2o29bo$199b2o10bo5bo35bo2bo81bo$199b2o15bobo17b2o16bobo81bo$215bo2bo17b
2o17bo66b2o14bo18b2o$216b2o104b2o26b2o5b2o$350b2o$325b3o17b2o$258b2o84b
o2bo$257bo2bo83bo2bo$207b2o49b2o13b2o70b2o$207b2o64b2o5b2o$279bo2bo$280b
obo16b2o$281bo17b2o7b3o3$321b3o$241bo84b2o$240bobo75bo7b2o$240b2o75bo
bo$229b3o85bobo32b3o$224b2o43bo48bo$223bo2bo10b3o29bo86bo$224b2o20b2o
21bo43b2o7b2o22bo9bo$245bo2bo63bo2bo5bo2bo20bobo8bo$246b2o17b3o45b2o7b
2o21bo2bo$346b2o4b3o$318bo$237b2o78bobo$237b2o78bobo$318bo$363bo$363b
o$291b3o31b2o36bo$324bo2bo$256b2o67b2o10bo21b3o3b3o$256b2o79bo$287bo49b
o25bo$286bobo74bo40b2o$287b2o74bo40bobo$358b2o45b2o$358b2o2$353b2o$353b
2o$283b3o$249b2o37bo$249b2o36bobo$287bobo32b2o35b2o$260b2o26bo33b2o35b
2o34b2o$259bo2bo132b2o$260b2o21b2o$282bo2bo$251b2o30b2o78b3o$251b2o102b
2o$355b2o$280b2o$279bo2bo5b2o109b2o$280b2o6b2o40b2o67b2o$330b2o$321b3o
3$294b2o$294b2o2$339bo31bo$338bobo30bo$302b2o34bobo30bo$302b2o35bo$276b
2o19b2o48b2o19b2o25b2o10b2o$275bo2bo13b2o3b2o48b2o10bo7bo2bo24b2o10b2o
$276b2o14b2o64bobo7b2o$358bobo$359bo$313bo$312bobo79bo$296b2o13bo2bo65b
2o11bobo$296b2o14b2o65bo2bo10b2o$380b2o26bo$407bobo12b2o$279b2o74b2o50b
o2bo11b2o$279b2o73bo2bo50b2o$349bo4bo2bo8b2o$348bobo4b2o9b2o$348bobo$
349bo72b2o$422b2o$344b2o7b2o$313b2o12b3o13bo2bo5bo2bo10b3o$312bo2bo28b
2o7b2o41b2o$313b2o81b2o$349bo$326b2o20bobo22b2o$326b2o20bobo21bobo$349b
o23bo44b2o$340b3o24b3o47bo2bo$418bobo$419bo4$316b2o106b2o$316b2o106b2o
2$332b2o$311b2o18bobo6b3o$310bo2bo17b2o101b3o$311bobo24bo5bo$312bo11b
3o11bo5bo60b2o$338bo5bo60b2o$322bo5bo64b2o$322bo5bo11b3o50b2o$322bo5b
o$351b2o6b2o14bo$324b3o24b2o6b2o13bobo$373bo2bo$374b2o3$411b2o$321bo89b
2o$321bo$321bo72b2o$334b2o20b3o34bo2bo$323bo10b2o58bobo53b2o$322bobo29b
o5bo14bo19bo53bobo$322bobo29bo5bo13bobo34b2o36b2o$323bo15b3o12bo5bo13b
o2bo33b2o20b2o$375b2o56b2o$337bo5bo12b3o$337bo5bo$337bo5bo76b2o$420b2o
53b2o$339b3o13b2o109b2o6bo2bo$355b2o109b2o7b2o2$335b2o$335b2o56bo45b2o
$393bo45b2o$348b3o42bo$484b3o2$482bo5bo$397bo84bo5bo$343b2o51bobo83bo
5bo$343b2o52b2o30b2o$429b2o53b3o$442bo$353bo48b2o38bo15bo$352bobo34bo
11bo2bo37bo15bo$352bobo34bo11bo2bo44b3o6bo5bo$353bo35bo12b2o60bo$447b
o5bo10bo$348b2o7b2o88bo5bo$347bo2bo5bo2bo43b2o33b3o2bo3bo5bo4bo$348b2o
7b2o44b2o37bobo13bo$427b2o14bo5b3o6bo$353bo73b2o$352bobo$352bobo$353b
o60b2o$414b2o$463b2o$463b2o$398b2o$397bobo5b2o$398bo6b2o$468bo$374b2o
36b2o53bobo$374b2o36b2o29bo23bobo$442bobo23bo$442bo2bo$397b2o44b2o18b
2o7b2o36b2o$397b2o63bo2bo5bo2bo35b2o$463b2o7b2o$389b2o19b2o$389b2o6bo
11bobo56bo$396bobo11bo49bo6bobo$395bo2bo32b3o25bobo5bobo6b2o$396b2o61b
obo6bo6bobo$391b2o36bo5bo24bo15bo$391b2o36bo5bo$400b2o27bo5bo$400b2o$
431b3o3$412b3o2$416bo$416bo$416bo52b2o$391b2o76b2o$391b2o2$425b3o35bo
$463bo$423bo5bo33bo$423bo5bo42b2o$423bo5bo29b3o10b2o$399b2o$399b2o24b
3o$480bo$421b2o57bo$421b2o37b2o18bo$460b2o2$430b2o38b2o$407b2o21b2o37b
o2bo8b2o$407b2o61b2o9b2o2$463bo$420b2o40bobo$419bo2bo39bobo$420b2o41b
o2$415b2o8bo$415b2o7bobo$424bobo27b3o$425bo2$449b2o$449b2o9$487b2o$487b
2o7$473b2o$439b2o32b2o$439b2o$462b2o$461bo2bo$462b2o3$503b2o4bo$447b2o
23b3o28b2o4bo$447b2o60bo9$495b3o$467b2o$467b2o20bo66b2o$488bobo65b2o$
488bobo57bo$489bo57bobo$547bobo$548bo2$499b2o42b2o7b2o$456bo41bo2bo25b
o14bo2bo5bo2bo$455bobo8bo32b2o26bo15b2o7b2o13b2o$456b2o7bobo59bo38bob
o$465b2o81bo17b2o$547bobo$547bobo$490b2o56bo$489bo2bo$475b2o13bobo$475b
2o14bo31bo$496b2o24bobo18b2o$496b2o24bobo18b2o$479b2o23b2o17bo$478bo2b
o22b2o$479b2o37b2o7b2o$517bo2bo5bo2bo$475bo42b2o7b2o$474bobo$474bobo46b
o$475bo27b2o17bobo$503b2o17bobo$467b2o47bo6bo5b2o$466bo2bo46bo11bo2bo
$467b2o14b2o31bo12bobo$483b2o45bo$472bo45b3o$471bobo$471bobo80b3o$472b
o$552bo$516b3o3b3o27bo$552bo2$543bo$523bo18bobo$522bobo17bobo18bo$522b
obo18bo19bo$523bo39bo$510b2o19b2o$510b2o18bo2bo$531b2o3$535b2o51bo$535b
2o51bo$512b2o74bo$512b2o$495b2o$495b2o83bo$488bo54b3o34bo$487bobo90bo
$487bobo4bo$488bo5bo$494bo$543b2o$533b2o8bobo$532bo2bo8b2o$533b2o$514b
o52b3o$513bobo23b2o$513bobo22bo2bo23bo5bo$514bo24b2o24bo5bo$531b2o32b
o5bo107b2o$509b2o7b2o11b2o146b2o$508bo2bo5bo2bo46b3o32b2o$509b2o7b2o82b
2o2$502b3o9bo8b2o$513bobo7b2o$513bobo$514bo2$664b3o2$617bo$617bo$543b
2o72bo75bo$511bo30bo2bo146bobo$510bobo30b2o11b2o100bo33bobo$511bobo42b
2o91b2o7bo34bo$512bo81b2o53b2o7bo$525b2o66bo2bo2b2o$524bo2bo35b3o28b2o
3b2o30bo$525bobo62b2o38bobo8b2o15bo$526bo63b2o38bobo8b2o14bobo$569b2o
60bo25bobo37b2o$568bobo87bo38b2o$568b2o28b2o10bo24b2o67b2o$598b2o9bob
o5b3o14bo2bo15bo49bobo$610b2o23b2o16bo50bo$615bo37bo$615bo$615bo$552b
2o$552b2o43bo57b2o$597bo56bo2bo$523bo16b2o55bo57bo2bo$523bo16b2o60b2o
52b2o$523bo60b2o16b2o$584b2o$519b3o3b3o39b2o114bo$567b2o114bo$523bo159b
o$523bo72b3o101b2o$523bo104b3o25bo10bo11b3o11b3o4b2o$600bo55bo9bobo$574b
2o24bo55bo9bo2bo$574b2o24bo66b2o14b3o$571bo156b2o$570bobo108bo5bo40bo
bo$570bo2bo76b2o18b2o9bo5bo41b2o$571b2o36b3o37bo2bo16bo2bo8bo5bo$643b
2o5b2o18b2o$607bo5bo28bo2bo37b3o$607bo5bo28bo2bo$607bo5bo29b2o$583b2o
$583b2o24b3o$681b2o4bo8b2o$605b2o16bo22bo9b2o23b2o4bo8b2o21b2o$605b2o
16bo22bo9b2o15b2o12bo31b2o$623bo22bo26b2o3$591b2o66bo$591b2o30b3o32bo
bo$614b3o41bobo$659bo63b2o$604b2o77b2o38b2o$603bo2bo16b2o20b2o7b2o7b2o
18b2o$604b2o16bo2bo13b2o4b2o6bo2bo5bo2bo$623b2o14bobo12b2o7b2o99b2o$599b
2o8bo30bo123b2o$599b2o7bobo106b3o$608bobo112b2o$609bo113b2o31b2o$615b
2o139b2o$615b2o$624b2o$624b2o$607b2o69b2o15b2o34b2o$607b2o69b2o15b2o34b
2o2$673b2o$635bo37b2o92bo$634bobo12b3o115bo$634bobo130bo$635bo$615b2o
160b2o$615b2o13b2o145bobo$629bo2bo12b2o16b2o113bo$630b2o12bo2bo15b2o49b
2o13b2o$645b2o36bo25bo4b2o12bo2bo$635bo47bo24bobo18b2o$634bobo46bo24b
obo$634bobo41b2o29bo$623b2o10bo5bo35bo2bo81bo$623b2o15bobo17b2o16bobo
81bo$639bo2bo17b2o17bo66b2o14bo18b2o$640b2o104b2o26b2o5b2o$774b2o$749b
3o17b2o$682b2o84bo2bo$681bo2bo83bo2bo$631b2o49b2o13b2o70b2o$631b2o64b
2o5b2o$703bo2bo$704bobo16b2o$705bo17b2o7b3o3$745b3o$665bo84b2o$664bob
o75bo7b2o$664b2o75bobo$653b3o85bobo32b3o$648b2o43bo48bo$647bo2bo10b3o
29bo86bo$648b2o20b2o21bo43b2o7b2o22bo9bo$669bo2bo63bo2bo5bo2bo20bobo8b
o$670b2o17b3o45b2o7b2o21bo2bo$770b2o4b3o$742bo$661b2o78bobo$661b2o78b
obo$742bo$787bo$787bo$715b3o31b2o36bo$748bo2bo$680b2o67b2o10bo21b3o3b
3o$680b2o79bo$711bo49bo25bo$710bobo74bo40b2o$711b2o74bo40bobo$782b2o45b
2o$782b2o2$777b2o$777b2o$707b3o$673b2o37bo$673b2o36bobo$711bobo32b2o35b
2o$684b2o26bo33b2o35b2o34b2o$683bo2bo132b2o$684b2o21b2o$706bo2bo$675b
2o30b2o78b3o$675b2o102b2o$779b2o$704b2o$703bo2bo5b2o109b2o$704b2o6b2o
40b2o67b2o$754b2o$745b3o3$718b2o$718b2o2$763bo31bo$762bobo30bo$726b2o
34bobo30bo$726b2o35bo$700b2o19b2o48b2o19b2o25b2o10b2o$699bo2bo13b2o3b
2o48b2o10bo7bo2bo24b2o10b2o$700b2o14b2o64bobo7b2o$782bobo$783bo$737bo
$736bobo79bo$720b2o13bo2bo65b2o11bobo$720b2o14b2o65bo2bo10b2o$804b2o26b
o$831bobo12b2o$703b2o74b2o50bo2bo11b2o$703b2o73bo2bo50b2o$773bo4bo2bo
8b2o$772bobo4b2o9b2o$772bobo$773bo72b2o$846b2o$768b2o7b2o$737b2o12b3o
13bo2bo5bo2bo10b3o$736bo2bo28b2o7b2o41b2o$737b2o81b2o$773bo$750b2o20b
obo22b2o$750b2o20bobo21bobo$773bo23bo44b2o$764b3o24b3o47bo2bo$842bobo
$843bo4$740b2o106b2o$740b2o106b2o2$756b2o$735b2o18bobo6b3o$734bo2bo17b
2o101b3o$735bobo24bo5bo$736bo11b3o11bo5bo60b2o$762bo5bo60b2o$746bo5bo
64b2o$746bo5bo11b3o50b2o$746bo5bo$775b2o6b2o14bo$748b3o24b2o6b2o13bob
o$797bo2bo$798b2o3$835b2o$745bo89b2o$745bo$745bo72b2o$758b2o20b3o34bo
2bo$747bo10b2o58bobo53b2o$746bobo29bo5bo14bo19bo53bobo$746bobo29bo5bo
13bobo34b2o36b2o$747bo15b3o12bo5bo13bo2bo33b2o20b2o$799b2o56b2o$761bo
5bo12b3o$761bo5bo$761bo5bo76b2o$844b2o53b2o$763b3o13b2o109b2o6bo2bo$779b
2o109b2o7b2o2$759b2o$759b2o56bo45b2o$817bo45b2o$772b3o42bo$908b3o2$906b
o5bo$821bo84bo5bo$767b2o51bobo83bo5bo$767b2o52b2o30b2o$853b2o53b3o$866b
o$777bo48b2o38bo15bo$776bobo34bo11bo2bo37bo15bo$776bobo34bo11bo2bo44b
3o6bo5bo$777bo35bo12b2o60bo$871bo5bo10bo$772b2o7b2o88bo5bo$771bo2bo5b
o2bo43b2o33b3o2bo3bo5bo4bo$772b2o7b2o44b2o37bobo13bo$851b2o14bo5b3o6b
o$777bo73b2o$776bobo$776bobo$777bo60b2o$838b2o$887b2o$887b2o$822b2o$821b
obo5b2o$822bo6b2o$892bo$798b2o36b2o53bobo$798b2o36b2o29bo23bobo$866bo
bo23bo$866bo2bo$821b2o44b2o18b2o7b2o36b2o$821b2o63bo2bo5bo2bo35b2o$887b
2o7b2o$813b2o19b2o$813b2o6bo11bobo56bo$820bobo11bo49bo6bobo$819bo2bo32b
3o25bobo5bobo6b2o$820b2o61bobo6bo6bobo$815b2o36bo5bo24bo15bo$815b2o36b
o5bo$824b2o27bo5bo$824b2o$855b3o3$836b3o2$840bo$840bo$840bo52b2o$815b
2o76b2o$815b2o2$849b3o35bo$887bo$847bo5bo33bo$847bo5bo42b2o$847bo5bo29b
3o10b2o$823b2o$823b2o24b3o$904bo$845b2o57bo$845b2o37b2o18bo$884b2o2$854b
2o38b2o$831b2o21b2o37bo2bo8b2o$831b2o61b2o9b2o2$887bo$844b2o40bobo$843b
o2bo39bobo$844b2o41bo2$839b2o8bo$839b2o7bobo$848bobo27b3o$849bo2$873b
2o$873b2o9$911b2o$911b2o7$897b2o$863b2o32b2o$863b2o$886b2o$885bo2bo$886b
2o3$927b2o4bo$871b2o23b3o28b2o4bo$871b2o60bo9$919b3o$891b2o$891b2o20b
o66b2o$912bobo65b2o$912bobo57bo$913bo57bobo$971bobo$972bo2$923b2o42b2o
7b2o$880bo41bo2bo25bo14bo2bo5bo2bo$879bobo8bo32b2o26bo15b2o7b2o13b2o$
880b2o7bobo59bo38bobo$889b2o81bo17b2o$971bobo$971bobo$914b2o56bo$913b
o2bo$899b2o13bobo$899b2o14bo31bo$920b2o24bobo18b2o$920b2o24bobo18b2o$
903b2o23b2o17bo$902bo2bo22b2o$903b2o37b2o7b2o$941bo2bo5bo2bo$899bo42b
2o7b2o$898bobo$898bobo46bo$899bo27b2o17bobo$927b2o17bobo$891b2o47bo6b
o5b2o$890bo2bo46bo11bo2bo$891b2o14b2o31bo12bobo$907b2o45bo$896bo45b3o
$895bobo$895bobo80b3o$896bo$976bo$940b3o3b3o27bo$976bo2$967bo$947bo18b
obo$946bobo17bobo18bo$946bobo18bo19bo$947bo39bo$934b2o19b2o$934b2o18b
o2bo$955b2o3$959b2o51bo$959b2o51bo$936b2o74bo$936b2o$919b2o$919b2o83b
o$912bo54b3o34bo$911bobo90bo$911bobo4bo$912bo5bo$918bo$967b2o$957b2o8b
obo$956bo2bo8b2o$957b2o$938bo52b3o$937bobo23b2o$937bobo22bo2bo23bo5bo
$938bo24b2o24bo5bo$955b2o32bo5bo107b2o$933b2o7b2o11b2o146b2o$932bo2bo
5bo2bo46b3o32b2o$933b2o7b2o82b2o2$926b3o9bo8b2o$937bobo7b2o$937bobo$938b
o2$1088b3o2$1041bo$1041bo$967b2o72bo75bo$935bo30bo2bo146bobo$934bobo30b
2o11b2o100bo33bobo$935bobo42b2o91b2o7bo34bo$936bo81b2o53b2o7bo$949b2o
66bo2bo2b2o$948bo2bo35b3o28b2o3b2o30bo$949bobo62b2o38bobo8b2o15bo$950b
o63b2o38bobo8b2o14bobo$993b2o60bo25bobo37b2o$992bobo87bo38b2o$992b2o28b
2o10bo24b2o67b2o$1022b2o9bobo5b3o14bo2bo15bo49bobo$1034b2o23b2o16bo50b
o$1039bo37bo$1039bo$1039bo$976b2o$976b2o43bo57b2o$1021bo56bo2bo$947bo
16b2o55bo57bo2bo$947bo16b2o60b2o52b2o$947bo60b2o16b2o$1008b2o$943b3o3b
3o39b2o114bo$991b2o114bo$947bo159bo$947bo72b3o101b2o$947bo104b3o25bo10b
o11b3o11b3o4b2o$1024bo55bo9bobo$998b2o24bo55bo9bo2bo$998b2o24bo66b2o14b
3o$995bo156b2o$994bobo108bo5bo40bobo$994bo2bo76b2o18b2o9bo5bo41b2o$995b
2o36b3o37bo2bo16bo2bo8bo5bo$1067b2o5b2o18b2o$1031bo5bo28bo2bo37b3o$1031b
o5bo28bo2bo$1031bo5bo29b2o$1007b2o$1007b2o24b3o$1105b2o4bo8b2o$1029b2o
16bo22bo9b2o23b2o4bo8b2o21b2o$1029b2o16bo22bo9b2o15b2o12bo31b2o$1047b
o22bo26b2o3$1015b2o66bo$1015b2o30b3o32bobo$1038b3o41bobo$1083bo63b2o$
1028b2o77b2o38b2o$1027bo2bo16b2o20b2o7b2o7b2o18b2o$1028b2o16bo2bo13b2o
4b2o6bo2bo5bo2bo$1047b2o14bobo12b2o7b2o99b2o$1023b2o8bo30bo123b2o$1023b
2o7bobo106b3o$1032bobo112b2o$1033bo113b2o31b2o$1039b2o139b2o$1039b2o$
1048b2o$1048b2o$1031b2o69b2o15b2o34b2o$1031b2o69b2o15b2o34b2o2$1097b2o
$1059bo37b2o92bo$1058bobo12b3o115bo$1058bobo130bo$1059bo$1039b2o160b2o
$1039b2o13b2o145bobo$1053bo2bo12b2o16b2o113bo$1054b2o12bo2bo15b2o49b2o
13b2o$1069b2o36bo25bo4b2o12bo2bo$1059bo47bo24bobo18b2o$1058bobo46bo24b
obo$1058bobo41b2o29bo$1047b2o10bo5bo35bo2bo81bo$1047b2o15bobo17b2o16b
obo81bo$1063bo2bo17b2o17bo66b2o14bo18b2o$1064b2o104b2o26b2o5b2o$1198b
2o$1173b3o17b2o$1106b2o84bo2bo$1105bo2bo83bo2bo$1055b2o49b2o13b2o70b2o
$1055b2o64b2o5b2o$1127bo2bo$1128bobo16b2o$1129bo17b2o7b3o3$1169b3o$1089b
o84b2o$1088bobo75bo7b2o$1088b2o75bobo$1077b3o85bobo32b3o$1072b2o43bo48b
o$1071bo2bo10b3o29bo86bo$1072b2o20b2o21bo43b2o7b2o22bo9bo$1093bo2bo63b
o2bo5bo2bo20bobo8bo$1094b2o17b3o45b2o7b2o21bo2bo$1194b2o4b3o$1166bo$1085b
2o78bobo$1085b2o78bobo$1166bo$1211bo$1211bo$1139b3o31b2o36bo$1172bo2b
o$1104b2o67b2o10bo21b3o3b3o$1104b2o79bo$1135bo49bo25bo$1134bobo74bo40b
2o$1135b2o74bo40bobo$1206b2o45b2o$1206b2o2$1201b2o$1201b2o$1131b3o$1097b
2o37bo$1097b2o36bobo$1135bobo32b2o35b2o$1108b2o26bo33b2o35b2o34b2o$1107b
o2bo132b2o$1108b2o21b2o$1130bo2bo$1099b2o30b2o78b3o$1099b2o102b2o$1203b
2o$1128b2o$1127bo2bo5b2o109b2o$1128b2o6b2o40b2o67b2o$1178b2o$1169b3o3$
1142b2o$1142b2o2$1187bo31bo$1186bobo30bo$1150b2o34bobo30bo$1150b2o35b
o$1124b2o19b2o48b2o19b2o25b2o10b2o$1123bo2bo13b2o3b2o48b2o10bo7bo2bo24b
2o10b2o$1124b2o14b2o64bobo7b2o$1206bobo$1207bo$1161bo$1160bobo79bo$1144b
2o13bo2bo65b2o11bobo$1144b2o14b2o65bo2bo10b2o$1228b2o26bo$1255bobo12b
2o$1127b2o74b2o50bo2bo11b2o$1127b2o73bo2bo50b2o$1197bo4bo2bo8b2o$1196b
obo4b2o9b2o$1196bobo$1197bo72b2o$1270b2o$1192b2o7b2o$1161b2o12b3o13bo
2bo5bo2bo10b3o$1160bo2bo28b2o7b2o41b2o$1161b2o81b2o$1197bo$1174b2o20b
obo22b2o$1174b2o20bobo21bobo$1197bo23bo44b2o$1188b3o24b3o47bo2bo$1266b
obo$1267bo4$1164b2o106b2o$1164b2o106b2o2$1180b2o$1159b2o18bobo6b3o$1158b
o2bo17b2o101b3o$1159bobo24bo5bo$1160bo11b3o11bo5bo60b2o$1186bo5bo60b2o
$1170bo5bo64b2o$1170bo5bo11b3o50b2o$1170bo5bo$1199b2o6b2o14bo$1172b3o
24b2o6b2o13bobo$1221bo2bo$1222b2o3$1259b2o$1169bo89b2o$1169bo$1169bo72b
2o$1182b2o20b3o34bo2bo$1171bo10b2o58bobo53b2o$1170bobo29bo5bo14bo19bo
53bobo$1170bobo29bo5bo13bobo34b2o36b2o$1171bo15b3o12bo5bo13bo2bo33b2o
20b2o$1223b2o56b2o$1185bo5bo12b3o$1185bo5bo$1185bo5bo76b2o$1268b2o53b
2o$1187b3o13b2o109b2o6bo2bo$1203b2o109b2o7b2o2$1183b2o$1183b2o56bo45b
2o$1241bo45b2o$1196b3o42bo$1332b3o2$1330bo5bo$1245bo84bo5bo$1191b2o51b
obo83bo5bo$1191b2o52b2o30b2o$1277b2o53b3o$1290bo$1201bo48b2o38bo15bo$
1200bobo34bo11bo2bo37bo15bo$1200bobo34bo11bo2bo44b3o6bo5bo$1201bo35bo
12b2o60bo$1295bo5bo10bo$1196b2o7b2o88bo5bo$1195bo2bo5bo2bo43b2o33b3o2b
o3bo5bo4bo$1196b2o7b2o44b2o37bobo13bo$1275b2o14bo5b3o6bo$1201bo73b2o$
1200bobo$1200bobo$1201bo60b2o$1262b2o$1311b2o$1311b2o$1246b2o$1245bob
o5b2o$1246bo6b2o$1316bo$1222b2o36b2o53bobo$1222b2o36b2o29bo23bobo$1290b
obo23bo$1290bo2bo$1245b2o44b2o18b2o7b2o36b2o$1245b2o63bo2bo5bo2bo35b2o
$1311b2o7b2o$1237b2o19b2o$1237b2o6bo11bobo56bo$1244bobo11bo49bo6bobo$
1243bo2bo32b3o25bobo5bobo6b2o$1244b2o61bobo6bo6bobo$1239b2o36bo5bo24b
o15bo$1239b2o36bo5bo$1248b2o27bo5bo$1248b2o$1279b3o3$1260b3o2$1264bo$
1264bo$1264bo52b2o$1239b2o76b2o$1239b2o2$1273b3o35bo$1311bo$1271bo5bo
33bo$1271bo5bo42b2o$1271bo5bo29b3o10b2o$1247b2o$1247b2o24b3o$1328bo$1269b
2o57bo$1269b2o37b2o18bo$1308b2o2$1278b2o38b2o$1255b2o21b2o37bo2bo8b2o
$1255b2o61b2o9b2o2$1311bo$1268b2o40bobo$1267bo2bo39bobo$1268b2o41bo2$
1263b2o8bo$1263b2o7bobo$1272bobo27b3o$1273bo2$1297b2o$1297b2o9$1335b2o
$1335b2o7$1321b2o$1287b2o32b2o$1287b2o$1310b2o$1309bo2bo$1310b2o3$1351b
2o4bo$1295b2o23b3o28b2o4bo$1295b2o60bo9$1343b3o$1315b2o$1315b2o20bo66b
2o$1336bobo65b2o$1336bobo57bo$1337bo57bobo$1395bobo$1396bo2$1347b2o42b
2o7b2o$1304bo41bo2bo25bo14bo2bo5bo2bo$1303bobo8bo32b2o26bo15b2o7b2o13b
2o$1304b2o7bobo59bo38bobo$1313b2o81bo17b2o$1395bobo$1395bobo$1338b2o56b
o$1337bo2bo$1323b2o13bobo$1323b2o14bo31bo$1344b2o24bobo18b2o$1344b2o24b
obo18b2o$1327b2o23b2o17bo$1326bo2bo22b2o$1327b2o37b2o7b2o$1365bo2bo5b
o2bo$1323bo42b2o7b2o$1322bobo$1322bobo46bo$1323bo27b2o17bobo$1351b2o17b
obo$1315b2o47bo6bo5b2o$1314bo2bo46bo11bo2bo$1315b2o14b2o31bo12bobo$1331b
2o45bo$1320bo45b3o$1319bobo$1319bobo80b3o$1320bo$1400bo$1364b3o3b3o27b
o$1400bo2$1391bo$1371bo18bobo$1370bobo17bobo18bo$1370bobo18bo19bo$1371b
o39bo$1358b2o19b2o$1358b2o18bo2bo$1379b2o3$1383b2o51bo$1383b2o51bo$1360b
2o74bo$1360b2o$1343b2o$1343b2o83bo$1336bo54b3o34bo$1335bobo90bo$1335b
obo4bo$1336bo5bo$1342bo$1391b2o$1381b2o8bobo$1380bo2bo8b2o$1381b2o$1362b
o52b3o$1361bobo23b2o$1361bobo22bo2bo23bo5bo$1362bo24b2o24bo5bo$1379b2o
32bo5bo107b2o$1357b2o7b2o11b2o146b2o$1356bo2bo5bo2bo46b3o32b2o$1357b2o
7b2o82b2o2$1350b3o9bo8b2o$1361bobo7b2o$1361bobo$1362bo2$1512b3o2$1465b
o$1465bo$1391b2o72bo75bo$1359bo30bo2bo146bobo$1358bobo30b2o11b2o100bo
33bobo$1359bobo42b2o91b2o7bo34bo$1360bo81b2o53b2o7bo$1373b2o66bo2bo2b
2o$1372bo2bo35b3o28b2o3b2o30bo$1373bobo62b2o38bobo8b2o15bo$1374bo63b2o
38bobo8b2o14bobo$1417b2o60bo25bobo37b2o$1416bobo87bo38b2o$1416b2o28b2o
10bo24b2o67b2o$1446b2o9bobo5b3o14bo2bo15bo49bobo$1458b2o23b2o16bo50bo
$1463bo37bo$1463bo$1463bo$1400b2o$1400b2o43bo57b2o$1445bo56bo2bo$1371b
o16b2o55bo57bo2bo$1371bo16b2o60b2o52b2o$1371bo60b2o16b2o$1432b2o$1367b
3o3b3o39b2o114bo$1415b2o114bo$1371bo159bo$1371bo72b3o101b2o$1371bo104b
3o25bo10bo11b3o11b3o4b2o$1448bo55bo9bobo$1422b2o24bo55bo9bo2bo$1422b2o
24bo66b2o14b3o$1419bo156b2o$1418bobo108bo5bo40bobo$1418bo2bo76b2o18b2o
9bo5bo41b2o$1419b2o36b3o37bo2bo16bo2bo8bo5bo$1491b2o5b2o18b2o$1455bo5b
o28bo2bo37b3o$1455bo5bo28bo2bo$1455bo5bo29b2o$1431b2o$1431b2o24b3o$1529b
2o4bo8b2o$1453b2o16bo22bo9b2o23b2o4bo8b2o21b2o$1453b2o16bo22bo9b2o15b
2o12bo31b2o$1471bo22bo26b2o3$1439b2o66bo$1439b2o30b3o32bobo$1462b3o41b
obo$1507bo63b2o$1452b2o77b2o38b2o$1451bo2bo16b2o20b2o7b2o7b2o18b2o$1452b
2o16bo2bo13b2o4b2o6bo2bo5bo2bo$1471b2o14bobo12b2o7b2o99b2o$1447b2o8bo
30bo123b2o$1447b2o7bobo106b3o$1456bobo112b2o$1457bo113b2o31b2o16bo$1463b
2o139b2o15bobo$1463b2o156bo2bo$1472b2o148b2o$1472b2o$1455b2o69b2o15b2o
34b2o$1455b2o69b2o15b2o34b2o2$1521b2o$1483bo37b2o92bo$1482bobo12b3o115b
o$1482bobo130bo$1483bo$1463b2o160b2o$1463b2o13b2o145bobo$1477bo2bo12b
2o16b2o113bo$1478b2o12bo2bo15b2o49b2o13b2o$1493b2o36bo25bo4b2o12bo2bo
$1483bo47bo24bobo18b2o$1482bobo46bo24bobo$1482bobo41b2o29bo$1471b2o10b
o5bo35bo2bo81bo$1471b2o15bobo17b2o16bobo81bo$1487bo2bo17b2o17bo66b2o14b
o18b2o$1488b2o104b2o26b2o5b2o$1622b2o$1597b3o17b2o$1530b2o84bo2bo$1529b
o2bo83bo2bo$1479b2o49b2o13b2o70b2o$1479b2o64b2o5b2o$1551bo2bo$1552bob
o16b2o$1553bo17b2o7b3o3$1593b3o$1513bo84b2o$1512bobo75bo7b2o$1512b2o75b
obo$1501b3o85bobo32b3o$1496b2o43bo48bo$1495bo2bo10b3o29bo86bo$1496b2o
20b2o21bo43b2o7b2o22bo9bo$1517bo2bo63bo2bo5bo2bo20bobo8bo$1518b2o17b3o
45b2o7b2o21bo2bo$1618b2o4b3o$1590bo$1509b2o78bobo$1509b2o78bobo$1590b
o$1635bo$1635bo$1563b3o31b2o36bo$1596bo2bo$1528b2o67b2o10bo21b3o3b3o$
1528b2o79bo$1559bo49bo25bo$1558bobo74bo40b2o$1559b2o74bo40bobo$1630b2o
45b2o$1630b2o2$1625b2o$1625b2o$1555b3o$1521b2o37bo$1521b2o36bobo$1559b
obo32b2o35b2o$1532b2o26bo33b2o35b2o34b2o$1531bo2bo132b2o$1532b2o21b2o
$1554bo2bo$1523b2o30b2o78b3o$1523b2o102b2o$1627b2o$1552b2o$1551bo2bo5b
2o109b2o$1552b2o6b2o40b2o67b2o$1602b2o$1593b3o3$1566b2o$1566b2o2$1611b
o31bo$1610bobo30bo$1574b2o34bobo30bo$1574b2o35bo$1548b2o19b2o48b2o19b
2o25b2o10b2o$1547bo2bo13b2o3b2o48b2o10bo7bo2bo24b2o10b2o$1548b2o14b2o
64bobo7b2o$1630bobo$1631bo$1585bo$1584bobo79bo$1568b2o13bo2bo65b2o11b
obo$1568b2o14b2o65bo2bo10b2o$1652b2o26bo$1679bobo12b2o$1551b2o74b2o50b
o2bo11b2o$1551b2o73bo2bo50b2o$1621bo4bo2bo8b2o$1620bobo4b2o9b2o$1620b
obo$1621bo72b2o$1694b2o$1616b2o7b2o$1585b2o12b3o13bo2bo5bo2bo10b3o$1584b
o2bo28b2o7b2o41b2o$1585b2o81b2o$1621bo$1598b2o20bobo22b2o$1598b2o20bo
bo21bobo$1621bo23bo44b2o$1612b3o24b3o47bo2bo$1690bobo$1691bo4$1588b2o
106b2o$1588b2o106b2o2$1604b2o$1583b2o18bobo6b3o$1582bo2bo17b2o101b3o$
1583bobo24bo5bo$1584bo11b3o11bo5bo60b2o$1610bo5bo60b2o$1594bo5bo64b2o
$1594bo5bo11b3o50b2o$1594bo5bo$1623b2o6b2o14bo$1596b3o24b2o6b2o13bobo
$1645bo2bo$1646b2o3$1683b2o$1593bo89b2o$1593bo$1593bo72b2o$1606b2o20b
3o34bo2bo$1595bo10b2o58bobo53b2o$1594bobo29bo5bo14bo19bo53bo2bo$1594b
obo29bo5bo13bobo34b2o36bo2bo$1595bo15b3o12bo5bo13bo2bo33b2o20b2o15b2o
$1647b2o56b2o$1609bo5bo12b3o$1609bo5bo$1609bo5bo76b2o$1692b2o53b2o$1611b
3o13b2o109b2o6bo2bo$1627b2o109b2o7b2o2$1607b2o$1607b2o56bo45b2o$1665b
o45b2o$1620b3o42bo$1756b3o$1731b2o$1731b2o21bo5bo$1669bo84bo5bo$1615b
2o51bobo83bo5bo$1615b2o52b2o30b2o$1701b2o53b3o$1714bo$1625bo48b2o38bo
15bo$1624bobo34bo11bo2bo37bo15bo$1624bobo34bo11bo2bo44b3o6bo$1625bo35b
o12b2o$1719bo5bo6b3o$1620b2o7b2o88bo5bo$1619bo2bo5bo2bo43b2o33b3o2bo3b
o5bo4bo$1620b2o7b2o44b2o37bobo13bo$1699b2o14bo5b3o6bo$1625bo73b2o$1624b
obo$1624bobo$1625bo60b2o$1686b2o$1735b2o$1735b2o$1670b2o$1669bobo5b2o
$1670bo6b2o$1740bo$1646b2o36b2o53bobo$1646b2o36b2o29bo23bobo$1714bobo
23bo$1714bo2bo$1669b2o44b2o18b2o7b2o36b2o$1669b2o63bo2bo5bo2bo35b2o$1735b
2o7b2o$1661b2o19b2o$1661b2o6bo11bobo56bo$1668bobo11bo49bo6bobo$1667bo
2bo32b3o25bobo5bobo6b2o$1668b2o61bobo6bo6bobo$1663b2o36bo5bo24bo15bo$
1663b2o36bo5bo$1672b2o27bo5bo$1672b2o$1703b3o3$1684b3o2$1688bo$1688bo
$1688bo52b2o$1663b2o76b2o$1663b2o2$1697b3o35bo$1735bo$1695bo5bo33bo$1695b
o5bo42b2o$1695bo5bo29b3o10b2o$1671b2o$1671b2o24b3o$1752bo$1693b2o57bo
$1693b2o37b2o18bo$1732b2o2$1702b2o38b2o$1679b2o21b2o37bo2bo8b2o$1679b
2o61b2o9b2o2$1735bo$1692b2o40bobo$1691bo2bo39bobo$1692b2o41bo2$1687b2o
8bo$1687b2o7bobo$1696bobo27b3o$1697bo2$1721b2o$1721b2o4$1811b2o$1810b
2o$1812bo3$1759b2o$1759b2o7$1745b2o$1711b2o32b2o$1711b2o$1734b2o$1733b
o2bo$1734b2o3$1775b2o4bo$1719b2o23b3o28b2o4bo$1719b2o60bo9$1767b3o$1739b
2o$1739b2o20bo66b2o$1760bobo65b2o$1760bobo$1761bo$1820b2o$1820b2o2$1771b
2o$1728bo41bo2bo25bo$1727bobo8bo32b2o26bo39b2o$1728b2o7bobo59bo38bobo
$1737b2o99b2o3$1762b2o$1761bo2bo$1747b2o13bobo$1747b2o14bo31bo$1768b2o
24bobo18b2o$1768b2o24bobo18b2o$1751b2o23b2o17bo$1750bo2bo22b2o$1751b2o
37b2o7b2o$1789bo2bo5bo2bo$1747bo42b2o7b2o$1746bobo$1746bobo46bo$1747b
o27b2o17bobo$1775b2o17bobo$1739b2o47bo6bo5b2o$1738bo2bo46bo11bo2bo$1739b
2o14b2o31bo12bobo39b2o$1755b2o45bo40bobo$1744bo45b3o50bo$1743bobo$1743b
obo80b3o$1744bo$1824bo$1788b3o3b3o27bo$1824bo2$1815bo$1795bo18bobo$1794b
obo17bobo18bo$1794bobo18bo19bo$1795bo39bo61b3o$1782b2o19b2o92bo$1782b
2o18bo2bo92bo$1803b2o37bo$1828bo14bo$1826b2obo11bo$1807b2o16bo34bo$1807b
2o32bo2bo15bo$1784b2o55b3o16bo$1784b2o38bo5bo17b3o$1767b2o58bo$1767b2o
58bo3bo6b2o12bo$1760bo54b3o8bo11b2o12bo$1759bobo65bo4bo19bo$1759bobo4b
o61b2o2bo$1760bo5bo63b2o$1766bo$1815b2o103b2o$1805b2o8bobo101b2o$1804b
o2bo8b2o103bo$1805b2o$1786bo52b3o$1785bobo23b2o$1785bobo22bo2bo23bo5b
o$1786bo24b2o24bo5bo$1803b2o32bo5bo$1781b2o7b2o11b2o$1780bo2bo5bo2bo46b
3o32b2o$1781b2o7b2o82b2o2$1774b3o9bo8b2o$1785bobo7b2o$1785bobo$1786bo
$1937b2o$1937b2o2$1889bo$1889bo$1815b2o72bo$1783bo30bo2bo$1782bobo30b
2o11b2o$1783bobo42b2o91b2o8bo$1784bo81b2o53b2o8bo23b2o$1797b2o66bo2bo
2b2o58bo23b2o$1796bo2bo35b3o28b2o3b2o30bo$1797bobo62b2o38bobo8b2o18bo
3b2o5bo$1798bo63b2o38bobo8b2o17bobo2b2o5bo$1841b2o60bo28bo5bo7bo$1840b
obo90bo3bo6b2o$1840b2o28b2o10bo24b2o25bo9b2o$1870b2o9bobo5b3o14bo2bo25b
2o11b3o$1882b2o23b2o37b3o$1887bo58bo2bo$1887bo59b2o$1887bo$1824b2o118b
2o$1824b2o43bo74b2o$1869bo$1795bo16b2o55bo$1795bo16b2o60b2o58bo$1795b
o60b2o16b2o57bobo$1856b2o75bo2bo$1791b3o3b3o39b2o81bo11b2o$1839b2o80b
obo22bo$1795bo125bobo21bo5b2o$1795bo72b3o51bo23bob3o2bo$1795bo121b2o28b
obo2bo$1872bo44b2o7b2o21bob2o$1846b2o24bo52bo2bo22bo$1846b2o24bo53b2o
$1843bo$1842bobo61b2o$1842bo2bo60b2o$1843b2o36b3o2$1879bo5bo$1879bo5b
o$1879bo5bo$1855b2o$1855b2o24b3o2$1877b2o16bo22bo$1877b2o16bo22bo$1895b
o22bo3$1863b2o$1863b2o30b3o$1886b3o2$1876b2o$1875bo2bo16b2o20b2o$1876b
2o16bo2bo13b2o4b2o$1895b2o14bobo$1871b2o8bo30bo$1871b2o7bobo$1880bobo
$1881bo$1887b2o$1887b2o$1896b2o$1896b2o$1879b2o51bo$1879b2o51bo$1925b
o6bo$1925bo$1907bo17bo$1906bobo$1906bobo$1907bo35b2o$1887b2o54b2o$1887b
2o13b2o7b2o$1901bo2bo5bo2bo$1902b2o7b2o2$1907bo17bo$1906bobo16bo$1906b
obo16bo25b2o$1895b2o10bo5bo37b2o$1895b2o15bobo$1911bo2bo$1912b2o4$1959b
2o$1903b2o40bo13b2o$1903b2o40bo$1945bo$1927b2o19bo$1916b2o8bo2bo8bo2b
3o3bobo$1915bo2bo8b2o8b2o2b3o3bobo$1916b2o18b2o3b3o4bo$1937bobob2o24b
2o$1911b2o8bo15b2ob3o24b2o$1911b2o7bobo19bo$1920bobo19b2o$1921bo17b2o
bo$1927b2o10b2obo$1927b2o14bo2$1954b2o$1919b2o32bo2bo$1919b2o16b2o15b
2o$1936bobo33bo$1937bo31b2o$1969b2ob2o$1971bo$1969b2o$1962b2o$1927b2o
32bo2bo5b2o$1927b2o33b2o$1973bo$1970bobo$1971bo2b2o4$1935b2o$1935b2o15b
o$1948bo3b2o$1947bobob2obo$1950bo4bo$1946b3obo3bo2bo2$1955bobo$1956bo
!

At every rise from the pattern, you can find the mango.

What I've also noticed about this puffer is that about halfway before it makes a rise, a Herschel pattern appears. Then another Herschel appears. And finally an abundance of Herschel patterns start the rise. And then the mango.

Here is when the first Herschel pattern appears. (You will see 2 or more gliders emerge, heading the opposite way of the puffer.)

Code: Select all

x = 567, y = 585, rule = B3/S23
15$32b2o$32b2o11bo$45bo$45bo3$33b3o2$37bo$20b2o15bo$20b2o15bo2$33b3o2$
39bo$15bo22bobo$14bobo21bobo$14bo2bo21bo$15b2o$50b3o$57bo$56bobo$33bo
22bobo$32bobo13b3o6bo$32bobo$33bo2$28b2o7b2o43b2o$27bo2bo5bo2bo41bobo
$28b2o7b2o13b2o27b2o$52b2o25b2o$33bo44bobo$32bobo43b2o$32bobo$33bo3$38b
2o25bo$37bo2bo24bo$38b2o25bo$45b2o$45b2o20b3o5$157b2o$157b2o$54bo40b2o
$53bobo38bo2bo$53bobo39b2o$54bo3$58b2o$58b2o83bo$143bo$143bo2$22bo11b
3o11bo$21bobo23bobo41bo79bo$21bobo24b2o10b2o28bobo77bobo$22bo33bo3b2o
28bobo77bobo$55bobo33bo35b2o6b3o33bo$54bo2bo69b2o$55b2o$46bo62bo$45bo
bo21b2o37bobo8b2o15bo$45bobo21b2o37bobo8b2o14bobo$46bo27b2o33bo25bobo
37b2o$74b2o60bo38b2o$88bo7bo16b2o67b2o$87bobo6bo15bo2bo65bobo$88b2o6b
o16b2o15b3o49bo2$92b3o$37b2o$37b2o21b2o$60b2o71b2o$74b3o55bo2bo$133bo
2bo$80b2o52b2o$62b2o16b2o$62b2o$45b2o$45b2o113b3o$75bo$75bo31bo50bo13b
o5b2o$75bo31bo37bo12bo13bo5b2o$107bo25b3o8bobo11bo13bo$77b3o64bo2bo14b
o$145b2o15bo$53b2o107bo43b2o$53b2o151bobo$88bo39b2o18b2o8b3o3b3o40b2o
$88bo38bo2bo16bo2bo$88bo32b2o5b2o18b2o12bo$120bo2bo38bo$84b3o3b3o27bo
2bo38bo$121b2o$61b2o25bo$61b2o25bo$88bo70b2o13b2o$83b2o49b2o23b2o3b3o
7b2o21b2o$83b2o15b3o20b3o8b2o15b2o44b2o$151b2o3$69b2o31bo34bo$69b2o22b
o8bo33bobo$93bo8bo33bobo$93bo43bo63b2o$82b2o77b2o38b2o$81bo2bo16b2o20b
2o7b2o7b2o18b2o$82b2o16bo2bo13b2o4b2o6bo2bo5bo2bo$101b2o14bobo12b2o7b
2o99b2o$77b2o8bo30bo77bo45b2o$77b2o7bobo107bo$86bobo107bo4b2o$87bo113b
2o31b2o16bo$93b2o139b2o15bobo$93b2o156bo2bo$102b2o148b2o$102b2o$85b2o
69b2o15b2o34b2o$85b2o69b2o15b2o34b2o2$151b2o$113bo14bo22b2o$112bobo13b
o115b3o$112bobo13bo$113bo$93b2o160b2o$93b2o13b2o145bobo$107bo2bo12b2o
16b2o113bo$108b2o12bo2bo15b2o49b2o13b2o$123b2o62bo4b2o12bo2bo$113bo46b
3o23bobo18b2o$112bobo71bobo$112bobo41b2o29bo$101b2o10bo5bo35bo2bo$101b
2o15bobo17b2o16bobo80b3o$117bo2bo17b2o17bo66b2o33b2o$118b2o104b2o26b2o
5b2o$228bo23b2o$228bo18b2o$160b2o66bo17bo2bo$159bo2bo83bo2bo$109b2o49b
2o13b2o70b2o$109b2o64b2o5b2o$181bo2bo$182bobo16b2o8bo$183bo17b2o8bo$211b
o$224bo$224bo$143bo80bo3b2o$142bobo75bo7b2o$132bo9b2o75bobo33bo$132bo
86bobo33bo$126b2o4bo7bo79bo34bo$125bo2bo11bo29b3o$126b2o12bo7b2o65b2o
7b2o22bo8b3o$147bo2bo17bo45bo2bo5bo2bo20bobo$148b2o18bo46b2o7b2o21bo2b
o4bo$168bo79b2o5bo$220bo34bo$139b2o78bobo$139b2o78bobo$220bo2$194bo69b
3o$194bo32b2o$194bo31bo2bo32bo5bo$158b2o67b2o33bo5bo$158b2o78b3o21bo5b
o$189bo$188bobo73b3o39b2o$189b2o115bobo$260b2o45b2o$260b2o2$255b2o$186b
o68b2o$186bo$151b2o33bo3bo$151b2o36bobo$189bobo32b2o35b2o$162b2o26bo33b
2o35b2o34b2o$161bo2bo132b2o$162b2o21b2o$184bo2bo78bo$153b2o30b2o79bo$
153b2o102b2o7bo$257b2o$182b2o$181bo2bo5b2o109b2o$182b2o6b2o40b2o67b2o
$224bo7b2o$224bo$224bo2$196b2o$196b2o2$241bo$240bobo29b3o$204b2o34bob
o$204b2o35bo$178b2o19b2o48b2o19b2o25b2o10b2o$177bo2bo13b2o3b2o48b2o10b
o7bo2bo24b2o10b2o$178b2o14b2o64bobo7b2o$260bobo$261bo$215bo$214bobo79b
o$198b2o13bo2bo65b2o11bobo$198b2o14b2o65bo2bo10b2o$282b2o26bo$309bobo
12b2o$181b2o74b2o50bo2bo11b2o$181b2o73bo2bo50b2o$251bo4bo2bo8b2o$250b
obo4b2o9b2o$250bobo$251bo72b2o$324b2o$230bo15b2o7b2o12bo$215b2o13bo14b
o2bo5bo2bo11bo$214bo2bo12bo15b2o7b2o12bo28b2o$215b2o81b2o$251bo$228b2o
20bobo22b2o$228b2o20bobo21bobo$243bo7bo18bo4bo44b2o$243bo26bo48bo2bo$
243bo26bo49bobo$321bo4$218b2o106b2o$218b2o106b2o2$234b2o7bo$213b2o18b
obo7bo93bo$212bo2bo17b2o8bo93bo$213bobo11bo109bo$214bo12bo11b3o3b3o59b
2o$227bo79b2o$243bo51b2o$223b3o3b3o11bo51b2o$243bo$227bo25b2o6b2o14bo
$227bo25b2o6b2o13bobo$227bo47bo2bo$276b2o3$313b2o$313b2o$222b3o$259bo
36b2o$236b2o21bo35bo2bo$225bo10b2o21bo36bobo53b2o$224bobo50bo19bo53bo
2bo$224bobo15bo12b3o3b3o12bobo34b2o36bo2bo$225bo16bo33bo2bo33b2o20b2o
15b2o$242bo16bo17b2o56b2o$259bo$238b3o3b3o12bo$322b2o$242bo79b2o53b2o
$242bo14b2o109b2o6bo2bo$242bo14b2o109b2o7b2o2$237b2o$237b2o102b2o$251b
o42b3o44b2o$251bo135bo$251bo135bo$361b2o24bo$361b2o$299bo83b3o3b3o$245b
2o51bobo$245b2o52b2o30b2o54bo$331b2o54bo$387bo$255bo48b2o37b3o$254bob
o46bo2bo45bo6b3o$254bobo33b3o10bo2bo45bo$255bo48b2o46bo10bo$363bo$250b
2o7b2o80bo6b3o3b3o6bo$249bo2bo5bo2bo43b2o34bo3bo$250b2o7b2o44b2o34bo2b
obo5bo6b3o$329b2o14bo6bo$255bo73b2o21bo$254bobo$254bobo$255bo60b2o$316b
2o$365b2o$365b2o$300b2o$299bobo5b2o$300bo6b2o$370bo$276b2o36b2o53bobo
$276b2o36b2o29bo23bobo$344bobo23bo$344bo2bo$299b2o44b2o18b2o7b2o36b2o
$299b2o63bo2bo5bo2bo35b2o$365b2o7b2o$291b2o19b2o$291b2o6bo11bobo56bo$
298bobo11bo21bo27bo6bobo$297bo2bo33bo26bobo5bobo6b2o$298b2o34bo26bobo
6bo6bobo$293b2o67bo15bo$293b2o35b3o3b3o$302b2o$302b2o30bo$334bo$334bo
$315bo$315bo$315bo2$317b3o$371b2o$293b2o76b2o$293b2o$328bo$328bo$328b
o35b3o2$324b3o3b3o29bo11b2o$362bo11b2o$301b2o25bo33bo$301b2o25bo$328b
o$323b2o56b3o$323b2o37b2o$362b2o2$332b2o38b2o$309b2o21b2o37bo2bo8b2o$
309b2o61b2o9b2o2$365bo$322b2o40bobo$321bo2bo39bobo$322b2o41bo2$317b2o
8bo$317b2o7bobo28bo$326bobo28bo$327bo29bo2$351b2o$351b2o9$389b2o$389b
2o7$375b2o$341b2o32b2o$341b2o$364b2o$363bo2bo$364b2o3$375bo29b2o$349b
2o24bo29b2o3b3o$349b2o24bo8$398bo$398bo$369b2o27bo$369b2o20bo66b2o$390b
obo65b2o$390bobo$391bo$450b2o$450b2o2$401b2o$358bo41bo2bo$357bobo8bo32b
2o25b3o38b2o$358b2o7bobo98bobo$367b2o99b2o3$392b2o$391bo2bo$377b2o13b
obo$377b2o14bo31bo$398b2o24bobo18b2o$398b2o24bobo18b2o$381b2o23b2o17b
o$380bo2bo22b2o$381b2o37b2o7b2o$419bo2bo5bo2bo$377bo42b2o7b2o$376bobo
$376bobo46bo$377bo27b2o17bobo$405b2o17bobo$369b2o54bo5b2o$368bo2bo45b
3o10bo2bo$369b2o14b2o44bobo$385b2o34bo10bo$374bo46bo$373bobo45bo$373b
obo$374bo57b2o$419bo5bo6b2o$419bo5bo$419bo5bo3$425bo19b3o$424bobo13b2o
$424bobo13b2o$425bo$412b2o34bo$412b2o33bobo$447bobo$448bo12bo$436b3o21b
obo$460bobo6b2o$461bo7b2o$414b2o$414b2o40b2o7b2o$397b2o56bo2bo5bo2bo$
397b2o57b2o7b2o$390bo90bo$389bobo88bobo$389bobo87bo$390bo4b3o75b3o3b4o
$472bo2bo2bobo$472b3o$479bo3b3o$480b2obo$481bobo$416bo18b2o41bo4bobo$
415bobo17b2o45b2ob2o7bobo$415bobo60bo3b2o10bobo$416bo66bo2b2o$433b2o44b
2o5b2o6b3o$411b2o7b2o11b2o45bo3b2o9b2o$410bo2bo5bo2bo59b3o19b2o$411b2o
7b2o60b3o19b2o$405bo61b2o$405bo10bo8b2o40b2o$405bo9bobo7b2o$415bobo$416b
o2$486bo$485bobo$485bobo15bo$486bo16b2o13b3o$445b2o55bo$413bo30bo2bo55b
3o$412bobo30b2o11b2o44bo$413bobo42b2o36b2o$414bo81b2o$427b2o37bo$426b
o2bo36bo42bo$427bobo36bo25b2o14bobo2bobo$428bo63b2o22bobo$471b2o40bob
ob4o$470bobo49bo$470b2o37b2o2b5o4bo$509b2obo6bo2bo$513b2ob3o2bo19bo$514b
o5bobo18bobo$502b2o7b3o6bobo7b2o9b3o$501bo2bo6bobo6b3o7b2o11bo$454b2o
28b2o16b2o8bobo$454b2o28b2o27bo$513bo$442b2o$424b3o15b2o79bo$486b2o34b
obo$422bo5bo57b2o35bobo$422bo5bo40b2o53bo$422bo5bo40b2o2$424b3o79bo$505b
2o19bo$503b2ob2o17bobo$476b2o25b3o19bobo$476b2o25b2ob2o18bo6b2o$473bo
31b2o26b2o$472bobo20b2o$472bo2bo18bobo$473b2o20bo15bobo$512b2o$512bo2$
541b2o$485b2o23b3o28b2o$485b2o2$507b2o$507b2o3$516b2o31b2o$493b2o21b2o
31b2o$493b2o3$506b2o$505bo2bo$506b2o33b2obo7b3o$536b2o3b4o8b2o$501b2o
8bo23bo2bobo3bo5b2o3bo$501b2o7bobo23b2o3b3o7bobobo$510bobo28b3o9b2o$511b
o31bo$517b2o$517b2o2$544b2o$509b2o15bo16bo2bo$509b2o14b3o16b2o$525bo2b
o$527b2o$527bo21b3o$524b2o23b4o$524b4o20bo3b2o$525bo2bo24bo2b3o$517b2o
7bo12b5o4b2ob2o3bobo$517b2o20bo9b4o3b3o$525bobo12b3o7bo$524bo2bo12bob
o$525b2o13bo$527bo$526bo$526bo15b2o$541b3o$541bobo!
By T 1107, the mango will appear.

Overall, this puffer is strange. It has a methuselah-like trail which covers tons of space.

I'd also like to point out the other patterns it gives off:

Barges
Beehives
Blinkers
Blocks
Boats
Gliders
Honey Farms
Loaves
Ponds
Tubs
Traffic Lights
Ships
And finally, Mangoes

To conclude, this puffer could dig up a hole full of other discoveries. It really is a special puffer for sure, considering that it gives off an unusual trail.

Has this puffer been even thought of yet?

P.S. Please let me know of any errors I made from this draft. Thanks
By: C.R. Hilton, currently working on another cool spaceship.

User avatar
roolif
Posts: 51
Joined: November 18th, 2019, 7:59 pm

Re: Thread for your unsure discoveries

Post by roolif » October 28th, 2022, 8:11 am

C_R_116 wrote:
October 28th, 2022, 5:25 am
... I found a puffer with a HUGE period ...
The p48 10b switch engine head isolated. The NE head runs 3 gen ahead. Hive added to control debris.

Code: Select all

x = 49, y = 42, rule = LifeHistory
#C [[ AUTOSTART AUTOFIT STOP 480 ]]
20.CED$19.2A.2A$13.2E5.D2B.EA$12.E2.E5.DC2DBA$13.2E6.2BAEA4$20.D.D5.
3D$20.D2.D$20.D2.D4.D3.D$23.D5.4D$22.3D7.D$E.E5.3D$E2.E$E2.E4.D3.D$3.
E5.4D15.D.D5.3D$2.3E7.D15.D2.D$28.D2.D4.D3.D$31.D5.4D$30.3D7.D$8.D.D
5.3D$8.D2.D$8.D2.D4.D3.D$11.D5.4D15.D.D5.3D$10.3D7.D15.D2.D$36.D2.D4.
D3.D$39.D5.4D$38.3D7.D$16.D.D5.3D$16.D2.D$16.D2.D4.D3.D$19.D5.4D15.D.
D$18.3D7.D15.D2.D$44.D2.D$47.D$46.3D$24.D.D5.3D$24.D2.D$24.D2.D4.D3.D
$27.D5.4D$26.3D7.D!
known.jpg
known.jpg (24.3 KiB) Viewed 1302 times
EDIT: Usually represented as 8 bit, sorry :
its8bit.jpg
its8bit.jpg (3.41 KiB) Viewed 1290 times

Code: Select all

x = 13, y = 13, rule = LifeSuper
#C [[ NOGUI NOSOURCE HEIGHT 100 WIDTH 100 ]]
3A.3A.5A$A.A3.A$A.A.3A.A.A.A$A7.A3.A$A.5M.A.A.A$A9.A.A$A.5M.3A.A$A.M$
A.M.3M.D.D.D$2.M3.M3.D$3M.3M4D.D$M11.D$10M.2D!

Megospace
Posts: 6
Joined: October 24th, 2022, 2:15 pm

Re: Thread for your unsure discoveries

Post by Megospace » October 29th, 2022, 7:58 am

Hello everyone! I found a still life. But I am not sure that it was not found before me.

Code: Select all

x = 9, y = 9, rule = B3/S23
4bo$3bobo$3bobo$b2o3b2o$o7bo$b2o3b2o$3bobo$3bobo$4bo!

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