Page 7 of 8

Re: The "Gray Cells" in LifeHistory Rule

Posted: August 15th, 2023, 9:48 pm
by rattlesnake
Another stator reduction:

Code: Select all

x = 3, y = 2, rule = LifeHistory
AB$2AF!

Re: The "Gray Cells" in LifeHistory Rule

Posted: August 16th, 2023, 1:59 am
by qqd
rattlesnake wrote: August 15th, 2023, 9:48 pm Another stator reduction:

Code: Select all

x = 3, y = 2, rule = LifeHistory
AB$2AF!
The rotor is already known. My stator version supports the rotor in a different way, however.
Here's a related oscillator:

Code: Select all

x = 6, y = 8, rule = LifeHistory
4.2A$5.A$2.F2A2$2.A$.A.F$A.A$2A!
EDIT: B-to-2G, with both gliders on the same lane. They are separated by 37 ticks, though, so I don't know if this will be useful:

Code: Select all

x = 12, y = 9, rule = LifeHistory
A$2A$.2A$2A9.F2$3.F3$9.F!
By the way, is anyone maintaining an oscillator stamp collection for this rule?
Also, I think a B should be the standard active region for conduits, as Herschel conduits tend to have transparent blocks, and also because of this starting reaction for almost any B conduit, which produces an extra glider:

Code: Select all

x = 4, y = 6, rule = LifeHistory
A$2A$.2A$2A2$3.F!
Here is a sample B-to-C-to-B conduit using that reaction:

Code: Select all

x = 16, y = 14, rule = LifeHistory
10.F2$A$2A$.2A$2A2$3.F6$15.F!

Re: The "Gray Cells" in LifeHistory Rule

Posted: August 16th, 2023, 8:58 pm
by Disaster16439
qqd wrote: August 16th, 2023, 1:59 am
rattlesnake wrote: August 15th, 2023, 9:48 pm Another stator reduction:

Code: Select all

x = 3, y = 2, rule = LifeHistory
AB$2AF!
The rotor is already known. My stator version supports the rotor in a different way, however.
Here's a related oscillator:

Code: Select all

x = 6, y = 8, rule = LifeHistory
4.2A$5.A$2.F2A2$2.A$.A.F$A.A$2A!
EDIT: B-to-2G, with both gliders on the same lane. They are separated by 37 ticks, though, so I don't know if this will be useful:

Code: Select all

x = 12, y = 9, rule = LifeHistory
A$2A$.2A$2A9.F2$3.F3$9.F!
By the way, is anyone maintaining an oscillator stamp collection for this rule?
Also, I think a B should be the standard active region for conduits, as Herschel conduits tend to have transparent blocks, and also because of this starting reaction for almost any B conduit, which produces an extra glider:

Code: Select all

x = 4, y = 6, rule = LifeHistory
A$2A$.2A$2A2$3.F!
Here is a sample B-to-C-to-B conduit using that reaction:

Code: Select all

x = 16, y = 14, rule = LifeHistory
10.F2$A$2A$.2A$2A2$3.F6$15.F!
They don't. I have a good zillion of r,h,b,and pi conduits
H-pi

Code: Select all

x = 14, y = 12, rule = LifeSuper
11.C$.F9.3C$11.C.C$13.C$F4$10.3D$12.D$10.3D$7.F!

Re: The "Gray Cells" in LifeHistory Rule

Posted: August 19th, 2023, 2:23 pm
by qqd
p294 B-track with a weird Herschel appearance at gen 72:

Code: Select all

x = 26, y = 29, rule = LifeHistory
17.F4$F7.2A$7.2A.2A$8.A2.A$8.A2.A7.F$9.2A$11.F3$24.F$16.F2$9.F$.F3$
14.F2$6.F3$25.F4$8.F!
A p147 based on that:

Code: Select all

x = 26, y = 29, rule = LifeHistory
17.F4$F7.2A$7.2A.2A$8.A2.A$8.A2.A7.F$9.2A$11.F3$24.F$16.F2$9.F$.F3$
14.F$15.2A$6.F7.A2.A$14.A2.A$14.2A.2A$16.2A7.F4$8.F!
EDIT: A p576 B-track, featuring a B-to-R I discovered with a very high output clearance:

Code: Select all

x = 63, y = 63, rule = LifeHistory
42.F2$19.F18.F2$29.2A$29.A.A$31.A$29.3A2$32.F10$60.F$F4$2.F6$9.F2$53.
F6$60.F4$62.F$2.F10$30.F7$24.F18.F2$20.F!
And a p288 based on that:

Code: Select all

x = 63, y = 63, rule = LifeHistory
42.F2$19.F18.F2$29.2A$29.A.A$31.A$29.3A2$32.F10$60.F$F4$2.F6$9.F2$53.
F6$60.F4$62.F$2.F10$30.F2$31.3A$31.A$31.A.A$32.2A2$24.F18.F2$20.F!
And a p192, after adding killer cells that delete stray gilders to prevent collisons:

Code: Select all

x = 63, y = 63, rule = LifeHistory
42.F2$19.F18.F2$29.2A$29.A.A$31.A$29.3A2$32.F$29.F9$60.F$F4$2.F5$52.F
$9.F2$53.F$10.F2$59.2A$59.2A$53.A.A$52.A2.A4.F$52.A3.2A$51.5A2.A$51.A
7.A$51.A.3A2.A3.F$2.F49.6A$14.3A$16.A$9.3A2.3A$7.2A.2A$6.2A.3A$5.A2.
2A.A$6.2A.2A$7.A3.A$33.F$30.F7$24.F18.F2$20.F!
And a p144, after taming the traffic-light plus boat mess away from other copies:

Code: Select all

x = 63, y = 63, rule = LifeHistory
42.F2$19.F18.F2$29.2A$29.A.A$31.A$29.3A2$32.F$29.F6$32.F3$33.F26.F$F
2$35.F2$2.F2$26.F9.F$22.F2$19.F32.F2.A.2A$9.F6.F38.A2.A$5.3A47.3A$4.A
2.A38.F6.F$4.2A.A2.F32.F2$40.F$26.F9.F2$60.F2$27.F2$62.F$2.F26.F3$30.
F6$33.F$30.F2$31.3A$31.A$31.A.A$32.2A2$24.F18.F2$20.F!
EDIT2: A p78 glider gun based on a p78 B-factory:

Code: Select all

x = 31, y = 18, rule = LifeHistory
30.F7$F3$30.F$20.A$F16.5A8.F$22.A$20.2A$2.F16.2A7.F$7.F10.A4.F$11.F7.
F!
Using my B-to-2G, we can create an computerless irregular glider gun without any computational circuitry:

Code: Select all

x = 34, y = 26, rule = LifeHistory
28.F2$33.F6$30.F7$F3$30.F$20.A$F16.5A8.F$22.A$20.2A$2.F16.2A7.F$7.F
10.A4.F$11.F7.F!
The spacings between gliders alternate between 37 and 41, if I am not wrong.
EDIT3: A p156 century hassler, using a C-to-C conduit consisting of only a single killer cell. Also, it only interacts once to remove a single cell, so sparkers from ordinary life might be able to do the job, perhaps producing the first p156 century hassler in ordinary life:

Code: Select all

x = 19, y = 19, rule = LifeHistory
6.F6$18.F2$13.3A$12.A.A$12.2A2$F6$12.F!
Coincidentally, 156=78*2, so here is one way to perturb the p78 glider gun using the hassler:

Code: Select all

x = 35, y = 48, rule = LifeHistory
22.F6$34.F2$29.3A$28.A.A$28.2A2$16.F6$28.F12$30.F7$F3$30.F$20.A$F16.
5A8.F$22.A$20.2A$2.F16.2A7.F$7.F10.A4.F$11.F7.F!
Is someone maintaining an oscillator stamp collection for all patterns with killer cells?

Re: The "Gray Cells" in LifeHistory Rule

Posted: August 23rd, 2023, 2:41 am
by qqd
Is this topic dormant?
Also, is anyone maintaining an oscillator stamp collection for this rule?

Re: The "Gray Cells" in LifeHistory Rule

Posted: August 23rd, 2023, 9:52 pm
by hotcrystal0
BF47R:

Code: Select all

 x = 18, y = 28, rule = LifeHistory
10.2A$10.A2.2A$11.2A.3A$17.A$11.2A.3A$6.F4.2A.A2$A$2A$.2A$2A2$3.F5$F!
Edit the next day:
Weird.

Code: Select all

 x = 25, y = 25, rule = LifeHistory
2$2.F4$24.A$22.3A$21.A$21.2A$.A13.3A$.2A12.6A$2.2A8.F5.2A.A$.2A17.A.A
$22.A$4.F17.2A2$5.F$8.A$7.A.A$7.2A!
You can derive a B to G2 from it:

Code: Select all

 x = 24, y = 21, rule = LifeHistory
8.F2$.F$12.F7$A13.2A$2A12.2A$.2A8.F$2A2$3.F2$4.F$7.A$6.A.A$6.2A!

Re: The "Gray Cells" in LifeHistory Rule

Posted: August 25th, 2023, 5:44 pm
by hotcrystal0
Sorry for double-posting, as always.
Tub replacement catalyst:

Code: Select all

 x = 15, y = 21, rule = LifeHistory
4$5.A$6.A$.2A3.A2.A$2.2A.2A.A.A$9.A$7.D3$5.A$6.A$.2A3.A2.A$2.2A.2A.A.
A$9.A.A$11.A$8.F.A$10.A.A$11.2A!

Re: The "Gray Cells" in LifeHistory Rule

Posted: August 25th, 2023, 5:59 pm
by squareroot12621
hotcrystal0 wrote: August 25th, 2023, 5:44 pm Sorry for double-posting, as always.
Tub replacement catalyst:

Code: Select all

 x = 15, y = 21, rule = LifeHistory
4$5.A$6.A$.2A3.A2.A$2.2A.2A.A.A$9.A$7.D3$5.A$6.A$.2A3.A2.A$2.2A.2A.A.
A$9.A.A$11.A$8.F.A$10.A.A$11.2A!
Better tub replacement catalyst:

Code: Select all

x = 23, y = 17, rule = LifeHistory
4.C$5.C9.2C$2C3.C2.A7.C2.A$.2C.2C.A.A5.2C.A.A$8.A10.A$6.F10.F3$4.C$5.
C9.2C$2C3.C2.A7.C2.A$.2C.2C.A.A5.2C.A.A$8.A.A8.A.A$10.A10.A$7.F.A8.F.
A$9.A.A8.A.A$10.2A9.2A!

Re: The "Gray Cells" in LifeHistory Rule

Posted: August 26th, 2023, 7:38 am
by qqd
Fx90 (Here I consider B to be the default active region):

Code: Select all

x = 17, y = 12, rule = LifeHistory
16.F2$8.F$A$2A$.2A$2A2$3.F3$15.F!
Rx137, with moderately high output clearance:

Code: Select all

x = 17, y = 11, rule = LifeHistory
8.F3$16.F$8.F$A$2A12.F$.2A$2A2$3.F!
L182:

Code: Select all

x = 23, y = 23, rule = LifeHistory
22.F$10.F5$4.F2$F5$16.F3$8.F$A$2A12.F$.2A$2A2$3.F!
Putting four copies of it together produces a p728 four-barreled gun, and so this is one of the few known B conduits that don't delete their gliders with their killer cells if used repeatedly:

Code: Select all

x = 51, y = 51, rule = LifeHistory
19.F8.F4$8.F2$14.F26.F2$46.F$6.F3$29.F2$22.F21.F2$18.F2$34.F$50.F2$
12.F$F35.F6$14.F35.F$38.F2$F$16.F2$32.F2$6.F21.F2$21.F3$44.F$4.F2$9.F
26.F$28.2A$28.A.A11.F$28.A.2A$29.2A$29.A$22.F8.F!

Re: The "Gray Cells" in LifeHistory Rule

Posted: September 17th, 2023, 2:55 pm
by hotcrystal0
P18

Code: Select all

 x = 26, y = 24, rule = LifeHistory
4$.2A3.2A$.A2.A2.A$2.4A$7.F$4.2A$3.A2.A$4.2A$2.F$11.2A$6.2A3.2A$2.2A.
A2.A$2.2A2.2A$12.F$9.2A$8.A2.A$9.2A$7.F$9.4A$7.A2.A2.A$7.2A3.2A!

Re: The "Gray Cells" in LifeHistory Rule

Posted: November 4th, 2023, 6:59 am
by qqd
Let's revive this thread, starting with F52, a new B-to-B conduit consisting of just 2 killer cells, and releases a glider:

Code: Select all

x = 10, y = 6, rule = LifeHistory
A$2A7.F$.2A$2A2$3.F!
It can be chained, and the gliders aren't removed by any killer cells:

Code: Select all

x = 28, y = 16, rule = LifeHistory
A$2A7.F$.2A$2A2$3.F$18.F4$12.F$27.F4$21.F!
This allows for extending some of our B tracks, as well as converting them into guns. Here is a p1200 eight-barreled glider gun, obtained by inserting 12 F52s in my p576 B-track, and whose envelope looks like a waffle:

Code: Select all

x = 101, y = 101, rule = LifeHistory
32.F2$42.2A$41.2A.2A5.F$42.A2.A$42.A2.A$43.2A$45.F$60.F4$54.F$69.F12.
F2$78.F2$63.F$13.F4$15.F56.F6$22.F3$13.F$100.F5$17.F3$8.F5$93.F$12.F
3$3.F2$97.F3$88.F$7.F5$92.F3$83.F5$F$87.F3$78.F6$28.F56.F4$87.F$37.F
2$22.F2$18.F12.F$46.F4$40.F$55.F4$49.F3$68.F!

Re: The "Gray Cells" in LifeHistory Rule

Posted: November 7th, 2023, 6:58 am
by Da c0c0nut
Useless discoveries

Code: Select all

x = 156, y = 105, rule = LifeHistory
73$119.F17.F$119.F17.F$119.F17.F$119.F17.F$2.96F21.F17.F$99.2A18.F17.
F$94.4A2.A18.F17.F$F93.A3.2A19.F17.F$94.A5.3A16.F17.F$95.A.A.A2.A16.F
17.F$2.96F2.2A17.F7.3A7.F$119.F7.A.A7.F$127.A.A13$2.96F2$94.4A$.F92.A
$94.A$95.A.A$2.96F!

Re: The "Gray Cells" in LifeHistory Rule

Posted: November 8th, 2023, 1:39 am
by TYCF
Probably known transparent reaction.

Code: Select all

x = 13, y = 16, rule = LifeHistory
9.2A$9.2A3$12.F2$2C$.2C$.C10.F6$.2A$.2A!


Re: The "Gray Cells" in LifeHistory Rule

Posted: December 19th, 2023, 1:07 pm
by eRroR_6o6
CF57B:

Code: Select all

x = 10, y = 10, rule = LifeHistory
7.F4$7.3A$6.A.A$6.2A3$F!
Which gives us a C-to-C:

Code: Select all

x = 19, y = 32, rule = LifeHistory
6$5.F7$12.F.F4$14.3A$13.A.A$13.2A3$7.F!

Re: The "Gray Cells" in LifeHistory Rule

Posted: December 28th, 2023, 1:35 pm
by hotcrystal0
Yes. true-period 14 glider gun

Code: Select all

x = 157, y = 192, rule = LifeHistory
10.2A$10.A$11.A$8.4A$3.F4.A$6.F4.3A$11.A2.A$13.2A$3.3A$F2.A.A$F.A2.A$
3.2A$6.F!

Re: The "Gray Cells" in LifeHistory Rule

Posted: December 28th, 2023, 11:10 pm
by JP21
Just a p26 fleet hassler/shuttle...

Code: Select all

x = 35, y = 34, rule = LifeHistory
27.F.B.F$26.F.3B$25.F.6B.F$24.F.8B$23.F.9B$22.F.9B$23.4BA5B$22.4B3A3B
$23.4BABAB$22.F.4B2A$24.5B$18.F6.2B$17.3B4.F$14.F.4B2.F$13.F.7B$12.F.
9B$11.F.9B$12.4BA5B$11.4B3A3B$12.4BABAB$11.F.4B2A$13.5B$7.F6.2B$6.3B
4.F$3.F.4B2.F$2.F.7B$3.9B$2.9B$.4BA5B$F3B3A3B$.4BABAB$3.3B2A$3.4B$2.F
.B!

Re: The "Gray Cells" in LifeHistory Rule

Posted: December 31st, 2023, 10:06 am
by b-engine
Smaller variant of eater 3 and p6 derived which is SKOP:

Code: Select all

x = 29, y = 29, rule = LifeHistory
.A$2.A$3A2$5.A$3.A.A$4.2A$8.A$9.A$7.3A2$12.A$10.A.A$11.2A$15.A$16.A$14.
3A2$19.A$17.A.A$10.2A6.2A$10.2A10.A$23.A$.F8.A10.3A$F2.A5.A.A13.2A$2.
A.A4.A2.A2.2A7.A2.A$.A11.A.2A7.A.A$2.A2.F5.2A12.A2.F$4.F22.F!

Re: The "Gray Cells" in LifeHistory Rule

Posted: January 26th, 2024, 2:40 am
by b-engine
L104:

Code: Select all

x = 15, y = 24, rule = LifeHistory
7.D$6.3D$5.3D7$A$2A$.2A$2A3$14.F6$2.F11.F2$8.F!
P416 and p208 by chaining the B loop:

Code: Select all

x = 94, y = 41, rule = LifeHistory
11.F52.F2$5.F11.F40.F11.F3$32.F5.F46.F5.F3$5.F52.F3$40.F30.2A20.F$70.
2A$71.2A$72.A3$38.F52.F6$2.F52.F3$21.A52.A$21.2A51.2A$22.2A51.2A$F20.
2A30.F20.2A3$35.F52.F3$2.F5.F46.F5.F3$23.F11.F40.F11.F2$29.F52.F!

Re: The "Gray Cells" in LifeHistory Rule

Posted: April 22nd, 2024, 1:28 pm
by Aleph
Random P7:

Code: Select all

x = 9, y = 8, rule = LifeHistory
4.A$3.A.A$3.A.A$.3A.A.2A$A4.A.BA$.3A.A2B$3.2A2BF$4.B.F!

Re: The "Gray Cells" in LifeHistory Rule

Posted: April 22nd, 2024, 1:51 pm
by hotcrystal0
hotcrystal0 wrote: December 28th, 2023, 1:35 pm Yes. true-period 14 glider gun

Code: Select all

x = 157, y = 192, rule = LifeHistory
10.2A$10.A$11.A$8.4A$3.F4.A$6.F4.3A$11.A2.A$13.2A$3.3A$F2.A.A$F.A2.A$
3.2A$6.F!
Smaller gun:

Code: Select all

x = 12, y = 9, rule = LifeHistory
3.F$6.F$9.F$11.F$3.3A$F2.A.A$F.A2.A$3.2A$6.F!

Re: The "Gray Cells" in LifeHistory Rule

Posted: April 22nd, 2024, 5:19 pm
by Aleph
I think these oscillators are new but there isn't a stamp collection or anything.

Code: Select all

x = 41, y = 57, rule = LHsimple
B.B8.B.A6.2A$B.B9.2A.B3.A2.A$3B15.A2.2A$2.B8.2A5.A.A$2.B8.A2.B4.2A.B
6$3B8.B2.A5.3B.3B7.B$2.B9.3A.B5.B.B.B$2.B9.A7.3B.3B$2.B11.A5.B3.B.B$
2.B7.B.3A5.3B.3B9.B$12.A2.B16.3A$30.B.A.A$32.3A$40.B2$3B20.B$B.B9.2A
2.2A7.A7.B$3B7.B3A2.A.B5.2A$2.B9.2A2.2A5.A$3B21.A$21.B2.A.B5$2B2.3B7.
B$.B2.B10.B$.B2.3B3.B.3A.B$.B4.B5.A.A$3B.3B5.3A2.B3$12.B3$2B2.3B8.B$.
B2.B.B3.B7.B$.B2.3B6.3A$.B4.B6.A.A$3B.3B6.3A$11.B5.B5$3B.B.B5.B3.B$2.
B.B.B12.B$3B.3B3.B4.3A$2.B3.B8.A.A$3B3.B8.3A$12.B6.B$18.B!
EDIT: More:

Code: Select all

x = 20, y = 50, rule = LHsimple
3B$B.B$3B7.B6AB$2.B$3B6$2B2.3B6.B$.B2.B.B$.B2.B.B$.B2.B.B$3B.3B3.B.3A
$12.A2.A$12.A2.A$13.3A.B4$14.B9$2B2.3B7.2B$.B2.B.B$.B2.3B8.3A.B$.B4.B
8.A.A$3B.3B3.B4.3A2$14.B$16.B3$3B.3B9.B$2.B3.B5.B$3B3.B4.B$2.B3.B5.A
4.B$3B3.B4.A.3A2$11.2A.2A$13.A$14.B$10.B!

Re: The "Gray Cells" in LifeHistory Rule

Posted: May 25th, 2024, 5:41 pm
by Supersuthiastic
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)!

Re: The "Gray Cells" in LifeHistory Rule

Posted: May 26th, 2024, 3:58 pm
by tommyaweosme
Jackk wrote: April 1st, 2012, 12:40 pm I find these cells to be fascinating. A bit of tinkering around found me this:

Code: Select all

x = 9, y = 5, rule = LifeHistory
F7BF$.2B3A2B$2BA3BA2B$.B2AB2AB$F.5B.F!
This moves a house forward at 6c/17.
I also found a 90 degree turner:

Code: Select all

x = 17, y = 14, rule = LifeHistory
10.F$F.B.F2.B.3B$4B2.7BF$16B$15BFB$17B$15BFB$16B$4B.11B$F.B.F.F7BF$7.
2B3A2B$6.2BA3BA2B$7.B2AB2AB$6.F.5B.F!
Plus a duplicator:

Code: Select all

x = 17, y = 59, rule = LifeHistory
4.F7BF$5.7B$4.F7BF$5.7B$4.9B$5.7B$4.F7BF$5.7B$4.F7BF$5.7B$4.9B$5.7B$
4.F7BF$5.7B$4.F7BF$5.7B$4.9B$5.7B$4.F7BF$5.7B$4.F7BF$5.7B$4.9B$5.7B$
4.F7BF$5.8B$F.B.F9B$.13B$B2A12B$BABA10B$3BA9BF$BABA9B$B2A9B$.10BF$F.B
.F7B$5.F6B$5.6BF$5.8B$4.F.6BF$5.7B$4.9B$5.7B$4.F7BF$5.7B$4.F.6BF$5.7B
$4.9B$5.7B$4.F7BF$5.7B$4.F.5B.F$5.7B$4.9B$5.7B$4.F7BF$5.7B$4.F.5B.F$
5.7B$4.9B!
And a surprisingly simple Pi => glider:

Code: Select all

x = 9, y = 16, rule = LifeHistory
F.5B.F$.B2AB2AB$2BA3BA2B$.2B3A2B$F7BF$.7B$F.5B.F$.7B$9B$8B$7B.F$B3.B$
3.3B$3.B2AB$4.2A!
This uses just a block and 3 killer cells!

With these mechanisms, you can build what I like to call "Pi tracks".
Here's an example:

Code: Select all

x = 131, y = 138, rule = LifeHistory
6$47.3B$46.BFBF2B64.F$46.2BA3BF.B.F.F.B.F.F.B.F.F.B.F.F.B.F.F.B.F.F.B
.F.F.B.F.F.B.F.F.B.F2.B.BAB$45.FB3A6B.5B.5B.5B.5B.5B.5B.5B.5B.5B2.3B
3ABF$45.2BAB2A63B4A4B$44.B2A66B2A3B2ABFB$43.F3A65B2A5B2A2B$44.B2A66B
2A3B2ABFB$45.B2AB2A63BA3BA3B$44.3B3A6B.5B.5B.5B.5B.5B.5B.5B.5B.5B.11B
$45.3BA3BF.B.F.F.B.F.F.B.F.F.B.F.F.B.F.F.B.F.F.B.F.F.B.F.F.B.F.F.B.F.
F7BF$46.6B61.7B$44.F.5B.F59.9B$45.7B61.7B$44.9B59.F.5B.F$45.7B61.7B$
44.F7BF59.F7BF$45.7B61.7B$44.F.5B.F59.9B$45.7B61.7B$44.9B59.F.5B.F$
45.7B61.7B$44.F7BF59.F7BF$45.7B61.7B$44.F.5B.F59.9B$45.7B61.7B$44.9B
59.F.5B.F$45.7B61.7B$44.F7BF59.F7BF$45.7B61.7B$44.F.5B.F59.9B$45.7B
61.7B$44.9B59.F.5B.F$45.7B61.7B$44.F7BF59.F7BF$45.7B61.7B$44.F.5B.F
59.9B$6.3B4.B31.7B61.7B$5.BFBF6BF28.9B59.F.5B.F$5.6B.5B28.7B61.7B$4.F
13BF25.F7BF59.F7BF$4.17B24.7B61.7B$3.17BFB22.F.5B.F59.9B$2.F19B23.7B
61.7B$2.18BFB22.9B59.F7BF$.20B24.7B61.7B$2.19B23.F7BF59.F7BF$2.B.7BF
2B3A2B.B24.7B61.7B$2.11BA3BA3B23.F.5B.F59.9B$2.11B2A3BA3B23.7B61.7B$.
BF16BAB23.9B59.F7BF$.15BA3BF24.7B61.7B$.BF13BA2BA24.F7BF59.F7BF$2.11B
2ABA2B26.7B61.7B$4.F8BA2BABF25.F.5B.F59.9B$6.5B.2BABAB27.7B61.7B$7.F
6BFBFB26.9B59.F7BF$9.B4.3B28.7B61.7B$44.F7BF59.F7BF$45.7B61.7B$44.F.
5B.F59.9B$45.7B61.7B$44.9B59.F7BF$45.7B61.7B$44.F7BF59.F7BF$45.7B61.
7B$44.F.5B.F59.9B$45.7B61.7B$44.9B59.F7BF$45.7B61.8B$44.F7BF.F.B.F.F.
B.F.F.B.F.F.B.F.F.B.F.F.B.F.F.B.F.F.B.F.F.B.F.F.B.F3BA5B$43.11B.5B.5B
.5B.5B.5B.5B.5B.5B.5B.6B3A4B$43.3BA3BA63B2AB2A4B$42.BFB2A3B2A66B2A2B$
42.2B2A5B2A65B3AF$42.BFB2A3B2A66B2AB$43.4B4A63B2ABA2B$45.FB3A3B2.5B.
5B.5B.5B.5B.5B.5B.5B.5B.6B3ABF$47.BAB.B2.F.B.F.F.B.F.F.B.F.F.B.F.F.B.
F.F.B.F.F.B.F.F.B.F.F.B.F.F.B.F3BA3B$48.F64.F6B$113.6BF$113.8B$112.F.
6BF$113.7B$112.9B$113.7B$112.F7BF$113.7B$112.F.6BF$113.7B$112.9B$113.
7B$112.F7BF$113.7B$112.F.5B.F$113.7B$112.9B$113.7B$112.F7BF$113.7B$
112.F.5B.F$113.7B$112.9B$113.7B$112.F7BF$113.7B$112.F.5B.F$113.7B$
112.9B$113.7B$112.F7BF$113.7B$112.F.5B.F$113.7B$112.A5BA2B$111.A6BAB$
110.B3A5B.F$109.4B3.B$108.4B3.3B$107.4B4.B2AB$106.4B6.2A$105.4B$104.
4B$103.4B$102.4B$101.4B$99.F4B$99.4B$100.3B!
Thsi is a large version of a p188 glider gun - I know it can be condensed.
If anyone has found any of this before, well, kudos to them.

And could any of these be condensed?
this reminds me a lot of sticky. the gun you showed is equivalent to this pattern in sticky

Code: Select all

x = 7, y = 7, rule = Sticky
7A$ACB2.CA$A.3ABA$A.3A.A$AB3A.A$AC2.BCA$5A.A!
(tube lengths are not equivalent)

this means that patterns in sticky that do not use a small set of mechanisms (including the slide mechanism) can be recreated in lifehistory.

Re: The "Gray Cells" in LifeHistory Rule

Posted: June 24th, 2024, 2:26 pm
by tommyaweosme
extensible period 2 oscillator 2 transitions away from lifehistory

Code: Select all

x = 10, y = 5, rule = B3/S235i8History
.8F2$10A2$.8F!

Re: The "Gray Cells" in LifeHistory Rule

Posted: June 24th, 2024, 4:00 pm
by confocaloid
tommyaweosme wrote: June 24th, 2024, 2:26 pm extensible period 2 oscillator 2 transitions away from lifehistory

Code: Select all

x = 10, y = 5, rule = B3/S235i8History
.8F2$10A2$.8F!
Actually, that's an oscillator in a [R]History multistate extension of a 2-state cellular automaton that's 2 toggled isotropic living conditions (both of which in this case are survival conditions, not birth conditions) away from Conway's Life.

More cellular automata have been "2 transitions away from lifehistory" than that oscillator has. Not only is that unacceptably nonsensical; worse, it's also vague, allowing for various rulesets such as "LifeHistory except a state-2 cell becomes state-0 in the next generation, unless it's currently surrounded by eight state-0 cells":

Code: Select all

2, 0,0,0,0,0,0,0,0, 2
2, x1,x2,x3,x4,x5,x6,x7,x8, 0
# old rules go here
That's literally two added transition rules away from LifeHistory. Did you mean to include that possibility, or to exclude that possibility?