The "Gray Cells" in LifeHistory Rule

For discussion of other cellular automata.
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hotcrystal0
Posts: 4592
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Re: The "Gray Cells" in LifeHistory Rule

Post by hotcrystal0 »

Supersuthiastic wrote: May 25th, 2024, 5:41 pm While playing around with patterns in LifeHistory, I assembled two Simkin glider guns, sealed them with state-6 cells so they won't be destroyed, and got the long-lived pattern below:

Code: Select all

x = 287, y = 42, rule = LifeHistory
238.22F$237.2F9.F11.12F$27.22F188.F34.7F$15.12F11.F9.2F186.F42.5F$8.
7F34.F185.F47.2F$3.5F42.F184.F48.2F$2.2F47.F181.2F50.F$.2F48.F180.F
52.F$.F50.2F178.F53.F$.F52.F176.F54.F$F53.F175.F55.F$F54.F174.F31.2A
5.2A15.F$F55.F173.F31.2A5.2A15.F$F15.2A5.2A31.F172.F56.F$F15.2A5.2A
31.F171.F36.2A19.F$F56.F170.F36.2A19.F$F19.2A36.F168.F58.F$F19.2A36.F
168.F58.F$F58.F166.F58.2F$F58.F166.F58.F$2F58.F165.F17.A3.A36.F$.F58.
F165.F16.2A4.A35.F$.F40.2A16.F165.F11.2A2.2A5.2A33.F$.F34.3A3.A.A15.F
165.F11.2A3.A4.2A34.F$2.F33.A7.A2.2A11.F164.F22.A34.F$2.F33.A.A4.2A2.
2A11.F164.F57.F$3.F33.2A22.F163.F30.2F24.F$3.F57.F163.F19.2F8.2F25.F$
4.F24.2F30.F163.F18.2F8.2F26.F$4.F25.2F8.2F19.F163.F17.2F8.2F26.F$4.F
26.2F8.2F18.F163.F16.2F8.2F26.F$5.F26.2F8.2F17.F163.F15.2F8.2F27.F$6.
F26.2F8.2F16.F164.F13.2F8.2F27.F$6.F27.2F8.2F15.F165.F11.2F8.2F28.F$
7.F27.2F8.2F13.F167.2F8.2F8.2F28.F$7.F28.2F8.2F11.F170.F6.2F8.2F28.F$
8.F28.2F8.2F8.2F171.3F3.2F8.2F27.2F$9.F28.2F8.2F6.F176.4F8.2F25.3F$
10.2F27.2F8.2F3.3F187.2F6.20F$12.3F25.2F8.4F189.9F$15.20F6.2F$35.9F!
The pattern lasts for over 1 million generations!
(My tenth post)!
This settles much quicker than I thought it would:

Code: Select all

x = 93, y = 101, rule = LifeHistory
73.11F$72.F11.F$2.16F54.F4.2A5.F$.F16.9F45.F2.2B2AB4.F$.F.4B2.B.3B.B.
2B8.F44.F2.4B5.F$F2.4B.18B2.F43.F.4B6.F$F.2A5B2A16B.F43.F2.4B5.F$F.2A
5B2A16B.2F42.F2.4B5.F$F2.B.22B3.F41.F2.2BA2B4.F$.F3.B2A21B2.F40.F2.2B
A2B4.F$2.2F2.2A7B2.13B.F40.F.2BABA2B3.F$4.F.8B6.10B.F40.F.B2AB2AB3.F$
4.F3.7B7.7B3.F39.F.A5BA3.F$5.F.10B6.8B.F39.F.3BA3B3.F$5.F.13B2.9B2.3F
36.F.2A3B2A3.F$5.F2.20B2A2B4.F35.F.7B3.F$6.F3.12B3A3BABAB.B2.F35.F2.5B
4.F$7.F2.12BA7BA2B2A.F35.F2.B4AB3.F$8.F.12BABA4B2A2B2A.F35.F2.2A2BA4.
F$8.F2.12B2A4B.4B2.F35.F.B2ABAB4.F$8.F9.4B.3B.B2.4B.F36.F.7B3.F$9.8F2.
4B12.F35.2F.2B2A.2B3.F$16.2F2.4B2.9F35.2F2.2BA5B2.F$17.2F2.4B2.2F40.2F
2.9B2.F$18.2F2.4B2.2F38.2F2.11B.F$19.2F2.4B2.2F36.2F2.4B.2ABAB2A.F$20.
2F2.4B2.2F34.2F2.A3B2.A5BA.F$21.2F2.4B2.2F32.2F2.A3B3.BA3BAB.F$22.2F2.
4B2.2F30.2F2.B3A2.F.2B3A2B.F$23.2F2.4B2.2F29.F2.4B2.2F.7B.F$24.2F2.4B
2.2F31.3B2.3F2.5B2.F$25.2F2.4B2.2F30.2B2.2F.F2.5B2.F$26.2F2.4B2.2F29.
B2.2F2.F3.4B2.F$27.2F2.4B2.2F30.2F3.F3.4B2.F$28.2F2.4B2.2F28.2F4.F4.4B
.F$67.2F5.F3.4B2.F$66.2F6.F2.B2A2B2.F$65.2F7.F3.2A4.F$64.2F8.F9.F$64.
F10.9F!
124 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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WhiteHawk
Posts: 1398
Joined: July 10th, 2024, 5:34 pm

Re: The "Gray Cells" in LifeHistory Rule

Post by WhiteHawk »

P54 two ponds and two blocks hassler

Code: Select all

x = 39, y = 45, rule = LifeHistory
$34.2B$32.4B$31.2A4B$30.8B$17.2B11.8B$12.11B6.9B$11.14B2.11B$11.19BA7B
$11.18BABA6B$11.17BA3BA5B$11.18BABA4B$11.19BA3B.F$13.12B2.3BF$15.5B2.
3B$15.5B$17.B2$18.2A$17.A2.A2.2A$17.A2.A2.2A$18.2A3$18.2A$13.2A2.A2.A
$13.2A2.A2.A$18.2A2$20.B$18.5B$13.3B2.5B$7.F3B2.12B$2.F.3BA19B$2.4BAB
A18B$5BA3BA17B$6BABA18B$7BA19B$11B2.14B$9B6.11B$8B11.2B$8B$.4B2A$2.4B
$2.2B!
Last edited by WhiteHawk on July 21st, 2024, 2:37 pm, edited 1 time in total.
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

Pseudastur albicollis
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unname4798
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Location: Near ConwayLife servers

Re: The "Gray Cells" in LifeHistory Rule

Post by unname4798 »

WhiteHawk wrote: July 21st, 2024, 2:20 pm P54 bi-block hassler

Code: Select all

x = 39, y = 45, rule = LifeHistory
$34.2B$32.4B$31.2A4B$30.8B$17.2B11.8B$12.11B6.9B$11.14B2.11B$11.19BA7B
$11.18BABA6B$11.17BA3BA5B$11.18BABA4B$11.19BA3B.F$13.12B2.3BF$15.5B2.
3B$15.5B$17.B2$18.2A$17.A2.A2.2A$17.A2.A2.2A$18.2A3$18.2A$13.2A2.A2.A
$13.2A2.A2.A$18.2A2$20.B$18.5B$13.3B2.5B$7.F3B2.12B$2.F.3BA19B$2.4BAB
A18B$5BA3BA17B$6BABA18B$7BA19B$11B2.14B$9B6.11B$8B11.2B$8B$.4B2A$2.4B
$2.2B!
No, it's 2 blocks and 2 ponds hassler.
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WhiteHawk
Posts: 1398
Joined: July 10th, 2024, 5:34 pm

Re: The "Gray Cells" in LifeHistory Rule

Post by WhiteHawk »

unname4798 wrote: July 21st, 2024, 2:23 pm
WhiteHawk wrote: July 21st, 2024, 2:20 pm P54 bi-block hassler

Code: Select all

x = 39, y = 45, rule = LifeHistory
$34.2B$32.4B$31.2A4B$30.8B$17.2B11.8B$12.11B6.9B$11.14B2.11B$11.19BA7B
$11.18BABA6B$11.17BA3BA5B$11.18BABA4B$11.19BA3B.F$13.12B2.3BF$15.5B2.
3B$15.5B$17.B2$18.2A$17.A2.A2.2A$17.A2.A2.2A$18.2A3$18.2A$13.2A2.A2.A
$13.2A2.A2.A$18.2A2$20.B$18.5B$13.3B2.5B$7.F3B2.12B$2.F.3BA19B$2.4BAB
A18B$5BA3BA17B$6BABA18B$7BA19B$11B2.14B$9B6.11B$8B11.2B$8B$.4B2A$2.4B
$2.2B!
No, it's 2 blocks and 2 ponds hassler.
Ah, Thanks. I meant to say that.
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

Pseudastur albicollis
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hotcrystal0
Posts: 4592
Joined: July 3rd, 2020, 5:32 pm
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Re: The "Gray Cells" in LifeHistory Rule

Post by hotcrystal0 »

H’ track ported from StateInvestigator:

Code: Select all

x = 41, y = 9, rule = LifeHistory
F15.F15.F2$.2A$.A.2A$4.A$2.A.A$2.2A2$8.F15.F15.F!
hotcrystal0 wrote: March 23rd, 2025, 1:22 pm 16c/34o H’ track:

Code: Select all

x = 41, y = 9, rule = StateInvestigator
C15.C15.C2$.2A$.A.2A$4.A$2.A.A$2.2A2$8.C15.C15.C!
124 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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Citation needed
Posts: 698
Joined: April 1st, 2021, 1:03 am

Re: The "Gray Cells" in LifeHistory Rule

Post by Citation needed »

ColorfulGalaxy accidentally found this "loaf-tie" while re-constructing the board game called "Game of Life" from the 19th century. Please read the "board and card games" thread for more information.

Code: Select all

x = 15, y = 15, rule = LifeHistory
15F$F13.F$F13.F$F13.F$F13.F$F5.3A5.F$F7.A5.F$F7.A5.F$F6.2A5.F$F13.F$F
13.F$F13.F$F13.F$F13.F$15F!
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yaochen2
Posts: 52
Joined: September 5th, 2018, 11:48 pm

Re: The "Gray Cells" in LifeHistory Rule

Post by yaochen2 »

Several years ago, someone created a rule where gray cells appear naturally viewtopic.php?f=11&t=2030 and I decided to apgsearch it out of curiosity. It turns out that there are a lot of high period natural oscilators.

Here are some highlights:

A twin bee shuttle that is period multiplied by 3

Code: Select all

x = 26, y = 11, rule = GreyLifeSix
8.2A15.B$B6.A.A$7.A$7.3A4$7.3A$7.A$B6.A.A$8.2A15.B!
P98 Pi hassler

Code: Select all

x = 15, y = 19, rule = GreyLifeSix
B2.A.A3.A.A2.B$3.A.A3.A.A$3.3A3.3A14$3.3A3.3A$3.A.A3.A.A$B2.A.A3.A.A
2.B!
P56 r pentomino hassler

Code: Select all

x = 21, y = 23, rule = GreyLifeSix
5.A9.A$3.3A9.3A$4.A11.A5$B19.B8$B19.B5$4.A11.A$3.3A9.3A$5.A9.A!
Tiny period 37

Code: Select all

x = 9, y = 8, rule = GreyLifeSix
4.B2$2.A2.A2.B$2.2A.A$2.3A3$B!
P46 gun where the gliders hit each other forming a p98 oscillator.

Code: Select all

x = 101, y = 17, rule = GreyLifeSix
4.2A35.2A14.2A35.2A$3.A.A35.A.A12.A.A35.A.A$5.A35.A16.A35.A$B12.2A17.
2A12.B6.B12.2A17.2A12.B$13.A.A15.A.A32.A.A15.A.A$15.A15.A36.A15.A$13.
3A15.3A32.3A15.3A4$13.3A15.3A32.3A15.3A$15.A15.A36.A15.A$13.A.A15.A.A
32.A.A15.A.A13.B$B12.2A17.2A12.B6.B12.2A17.2A$5.A35.A16.A$3.A.A35.A.A
12.A.A$4.2A35.2A14.2A!
Natural p140 with just 2 gray cells.

Code: Select all

x = 30, y = 30, rule = GreyLifeSix
.3A$3A.A$2A2$2.3A$2.3A12.B$3.A8.2A$12.2A2$3.2A$3.2A2$24.B4$22.2A$22.2A8$19.2A
3.2A2.A$19.2A2.3A3.A$24.2A2.2A$27.3A$27.2A!
Hope you enjoy it! I'll keep apgsearching this rule for a while.

Code: Select all

x = 7, y = 7, rule = B2cek3-cjk4cjkq5ijn6i7e8/S1c2-an3q4aqt5ejn6ei
o$obo$o2$5bo2$4b3o!
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hotcrystal0
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Re: The "Gray Cells" in LifeHistory Rule

Post by hotcrystal0 »

Here’s a traffic light predecessor to 2H:

Code: Select all

x = 5, y = 5, rule = LifeHistory
F.3A$3.A3$F!
It’s used in this BR72H_BLx54H:

Code: Select all

x = 9, y = 13, rule = LifeHistory
4.F3.F9$F$4.A2.F$3.3A$3.A.2A!
124 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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Aleph
Posts: 2278
Joined: February 18th, 2021, 11:18 am

Re: The "Gray Cells" in LifeHistory Rule

Post by Aleph »

Period1GliderGun wrote: October 31st, 2025, 5:48 pm While we're on the subject of 36P25, it can "do the worm", as it were, in two different ways:

Code: Select all

x = 28, y = 18, rule = B3/S23
18b2o$19bo5b2o$18bo5bobo$18b2o5bo2$18b10o$b2o14bo9bo$bobo13bobo4bo$2b
o8b3o4bo3b3o$10bo2bo$5o5bo2bo$o4bo4b2o10b2o$3bobo16b2o$3b2o2$10b2o$4b
2o4b2o$4b2o!
The loaf interaction implies worm baker's dozen via gray cells:

Code: Select all

x = 19, y = 13, rule = B3/S23Super
4.2M$4.2M10.2M$17.M$11.2F2.2M$3.2M4.M$3.M.M2.M.M4.4M$M4.M.M2.M3.2M2.M
$5M3.2M5.2M2$2.M3.2F$.M.M$.2M10.2M$13.2M!
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SomePersonAlt
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Re: The "Gray Cells" in LifeHistory Rule

Post by SomePersonAlt »

i am going to start calling it a "groy" cell out of spite now. thank you

Code: Select all

x = 7, y = 7, rule = B3/S23|B2/S2-i
3b3o$2b2obo$b2o3bo$2ob2o$o2b3o$2o2bo$2bo!

#C [[ ZOOM 19.5 TRACK -6/12 -6/12 GPS 6 THEME Golly LOOP 12 AUTOSTART ]]
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OCAfan55
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Joined: October 26th, 2025, 4:07 pm

Re: The "Gray Cells" in LifeHistory Rule

Post by OCAfan55 »

3-cell HWSS to glider

Code: Select all

x = 24, y = 6, rule = LifeHistory
F13.F2$17.6A$17.A5.A$17.A$7.F10.A!

Code: Select all

x = 13, y = 13, rule = B34ij5e6kn/S23-kn4nqtyz5j6a
$3bo$3bo$b3o6$10bo$9bobo$10bo!
I love unexpected catalysts
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hotcrystal0
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Joined: July 3rd, 2020, 5:32 pm
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Re: The "Gray Cells" in LifeHistory Rule

Post by hotcrystal0 »

OCAfan55 wrote: November 29th, 2025, 7:37 pm 3-cell HWSS to glider

Code: Select all

x = 24, y = 6, rule = LifeHistory
F13.F2$17.6A$17.A5.A$17.A$7.F10.A!
With the leftmost killer cell removed, it becomes a HWSS to B:

Code: Select all

x = 17, y = 7, rule = LifeHistory
7.F2$10.6A$10.A5.A$10.A$F10.A4.A$13.2A!
124 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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hotcrystal0
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Joined: July 3rd, 2020, 5:32 pm
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Re: The "Gray Cells" in LifeHistory Rule

Post by hotcrystal0 »

P200 TL+block loop:

Code: Select all

x = 24, y = 24, rule = LifeHistory
10.F6.A$16.A$16.A2.A$17.A.A$18.A6$23.F2$16.2A$F15.2A$19.3A2$17.A5.A$17.
A5.A$17.A5.A2$19.3A3$13.F!
Edit: Glider to B:

Code: Select all

x = 11, y = 25, rule = LifeHistory
8.A$8.A.A$8.2A2$F3.F2$8.F$5.2A$5.2A$.F2$8.F6$2.F2$9.F3$4.D.2D$4.3D$5.
D!
124 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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hotcrystal0
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Re: The "Gray Cells" in LifeHistory Rule

Post by hotcrystal0 »

Antonin Duda wrote: June 30th, 2026, 7:30 am r-pentomino to strange p3

Code: Select all

x = 5, y = 6, rule = LifeFunc
2.F2$.A$.2A$2A$4.F!
In LifeHistory:

Code: Select all

x = 6, y = 8, rule = LifeHistory
3.F3$.A$.2A$2A2$5.F!
124 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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Period1GliderGun
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Re: The "Gray Cells" in LifeHistory Rule

Post by Period1GliderGun »

very nice p31 glider gun with only 2 grey cells:

Code: Select all

x = 17, y = 14, rule = LifeHistory
7.2B$6.2B2A$5.F4B$5.7B$4.2BA2BA2B$.F4BA2B2AB$.5B2ABA3B$.B3A8B$2BA10B$
2B3A6B.B2A$.10B.BA.A$3.2B.2BAB5.A$6.3BA5.2A$7.3A!
Currently on another planet.

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
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Disaster16439
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Joined: June 30th, 2023, 9:17 am
Location: Teyvat

Re: The "Gray Cells" in LifeHistory Rule

Post by Disaster16439 »

Cool reaction with promise:

Code: Select all

x = 13, y = 13, rule = LifeHistory
10.F3$2.F3$5.A$4.A$4.3A3$F2.2A$3.2A7.F!
Edit 1:

I completed it (almost, there’s an extra block)

Code: Select all

x = 18, y = 20, rule = LifeHistory
10.F3$2.F3$5.A10.F$4.A$4.3A$17.F2$F2.2A$3.2A3$2.F$12.2A$12.A$13.3A$
15.A!
But then I realized that the glider lane is in fact blocked…

Code: Select all

x=0,y=0,rule=B34q/S23-k
14b3o$13bo3bo$13b2ob2o9$15bo$15bo$b2o12bo12b2o$obo25bobo$o10b3o3b3o10b
o$obo25bobo$b2o12bo12b2o$15bo$15bo9$13b2ob2o$13bo3bo$14b3o!
[[ LOOP 200 THEME POISON AUTOSTART T 0 PAUSE 0.3 ]]
I’m sandless :D
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jayden678910
Posts: 642
Joined: November 12th, 2023, 10:21 am

Re: The "Gray Cells" in LifeHistory Rule

Post by jayden678910 »

OMG WHAT DID I JUST FIND???????????

Code: Select all

x = 15, y = 11, rule = LifeHistory
11F3.F$14.F$F6.3A4.F$7.A2.A3.F$7.3A4.F$14.F$14.F$14.F$14.F$14.F$15F!
It’s P26
Simplified:

Code: Select all

x = 15, y = 11, rule = LifeHistory
3.8F2$F6.3A$7.A2.A$7.3A4.F6$8.F!

Code: Select all

x = 28, y = 8, rule = B3/S23Super
2A.A2.A$2A.4A2$2A.2A8.2A8.2A$.A.A.A7.A.A7.A.A$.A23.A$2A3.A.A7.A.A7.A.
A$6.2A8.2A8.2A!
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WhiteHawk
Posts: 1398
Joined: July 10th, 2024, 5:34 pm

Re: The "Gray Cells" in LifeHistory Rule

Post by WhiteHawk »

jayden678910 wrote: July 11th, 2026, 8:34 am Simplified:

Code: Select all

Even more simplified (I think 4 is the minimum number of gray cells required on that side)

Code: Select all

x = 62, y = 37, rule = LifeHistory
3.F2.F2.2F16.F.F2.F.F14.F.F2.F2.F2$F6.3A14.F6.3A13.F6.3A$7.A2.A20.A2.
A19.A2.A$7.3A4.F16.3A4.F15.3A4.F6$8.F23.F22.F3$3.F2.2F2.F16.F2.F.F.F14.
F2.F.F2.F2$F6.3A14.F6.3A13.F6.3A$7.A2.A20.A2.A19.A2.A$7.3A4.F16.3A4.F
15.3A4.F6$8.F23.F22.F3$3.2F2.F2.F16.F.F.F2.F14.F2.F2.F.F2$F6.3A14.F6.
3A13.F6.3A$7.A2.A20.A2.A19.A2.A$7.3A4.F16.3A4.F15.3A4.F6$8.F23.F22.F!
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

Pseudastur albicollis
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