Thread for your unsure discoveries

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
Hunting
Posts: 4145
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Re: Thread for your unsure discoveries

Post by Hunting » November 20th, 2020, 11:12 am

MathAndCode wrote:
November 20th, 2020, 10:26 am
Jormungant wrote:
November 20th, 2020, 8:15 am

Code: Select all

x = 183, y = 185, rule = B3/S23
4$4bo$5b2o$4b2o8$15bo$16bo$14b3o9$24bobo$25b2o$25bo8$36bo$34bobo$35b2o
8$45bo$46b2o$45b2o8$56bo$57bo$55b3o9$65bobo$66b2o$66bo8$77bo$75bobo$
76b2o7b2o$85b2o6$91bo$89bobo$90b2o2$80b2o$79bobo$81bo8b2o$91b2o$90bo$
94b2o$93b2o$95bo3$70bo$70b2o$69bobo8b2o$79bobo$81bo$104b2o$104bobo$
104bo4$59b3o$61bo8bo$60bo9b2o$69bobo$115bo$114b2o$114bobo4$49b2o$50b2o
$49bo9b3o$61bo$60bo$124b3o$124bo$125bo3$39b2o$38bobo$40bo8b2o$50b2o$
49bo$135b2o$134b2o$136bo3$29bo$29b2o$28bobo8b2o$38bobo$40bo$145b2o$
145bobo$145bo4$18b3o$20bo8bo$19bo9b2o$28bobo$156bo$155b2o$155bobo4$8b
2o$9b2o$8bo9b3o$20bo$19bo$165b3o$165bo$166bo5$8b2o$9b2o$8bo$176b2o$
175b2o$177bo!
There's another easily constructible logic gate?

Code: Select all

x = 32, y = 58, rule = B3/S23
bo$2bo$3o9$10bobo$11b2o$11bo10$30b2o$30b2o10$25b2o$24bobo$26bo19$4b3o$6bo$5bo!
It's known through the years, since Winning Ways. I was trying to find a similar gate in LeapLife.
she/her

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goldenratio
Posts: 239
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Re: Thread for your unsure discoveries

Post by goldenratio » November 20th, 2020, 1:56 pm

This is known right?

Code: Select all

x = 21, y = 21, rule = B3/S23
5bo$5bobo$bo3b2o$2bo$3o10bo$12bo6bo$12b3o3bo$18b3o4$3bo$2bobo$3bo2$5b
2o$5b2o2$15b3o$15bo$16bo!
If it is then stuff like this don't have their optimal syntheses on Catagolue.
EDIT: that object has the eater on the wrong side but still
still lost in OCA and stuck on contributing to CGOL

Code: Select all

x = 5, y = 7, rule = B2n3-cq4e5y6c7c/S23-k
2o$2o3$3bo$3b2o$3bo!

Code: Select all

x = 4, y = 1, rule = B3-jkr5ak/S2-n34a5i
4o!

Jormungant
Posts: 268
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Re: Thread for your unsure discoveries

Post by Jormungant » November 20th, 2020, 6:46 pm

I guess that p41 can produce gliders afterall, but I kind of see a brick wall ahead...

Code: Select all

x = 363, y = 256, rule = LifeHistory
33$219.4B.4B$233.B$219.4B.4B$217.6B.6B$217.6B.6B$216.7B.7B$216.7B.7B$
217.6B.6B$217.6B.6B$218.5B.5B$217.6B.6B$216.7B.7B$214.6B3A.3A6B$214.
6BABA.ABA6B$215.5B3A.3A5B$214.9B.9B$214.A8B.8BA$213.BA3B11.3BAB$214.A
8B.8BA$214.9B.9B$215.5B3A.3A5B$214.6BABA.ABA6B$214.6B3A.3A6B$216.7B.
7B$217.6B.6B$218.5B.5B$217.6B.6B$217.6B.6B$216.7B.7B$216.7B.7B$217.6B
.6B$217.6B.6B$219.4B.4B$233.B$219.4B.4B$217.6B.6B$217.6B.6B$216.7B.7B
$216.7B.7B$217.6B.6B$217.6B.6B$218.5B.5B$217.6B.6B$216.7B.7B$214.6B3A
.3A6B$214.6BABA.ABA6B$215.5B3A.3A5B$214.9B.9B$214.A8B.8BA$213.BA3B11.
3BAB$214.A8B.8BA$214.9B.9B$215.5B3A.3A5B$214.6BABA.ABA6B$214.6B3A.3A
6B$216.7B.7B$217.6B.6B$218.5B.5B$217.6B.6B$217.6B.6B$216.7B.7B$217.6B
.6B$218.5B.5B$219.4B.4B$219.4B.4B$233.B$219.4B.4B$219.4B.4B$218.5B.5B
$217.6B.6B$216.7B.7B$217.6B.6B$217.6B.6B$218.5B.5B$217.6B.6B$216.7B.
7B$214.6B3A.3A6B$214.6BABA.ABA6B$215.5B3A.3A5B$214.9B.9B$214.A8B.8BA$
213.BA3B11.3BAB$214.A8B.8BA$214.9B.9B$215.5B3A.3A5B$214.6BABA.ABA6B$
214.6B3A.3A6B$216.7B.7B$217.6B.6B$218.5B.5B2$122.B15.B15.B15.B15.B15.
B$133.2B.B3AB.2B21.2B.B3AB.2B21.2B.B3AB.2B35.B31.B31.B$133.11B21.11B
21.11B30.2B.B3AB.2B21.2B.B3AB.2B21.2B.B3AB.2B$126.2B4.13B4.2B7.2B4.
13B4.B9.B4.13B29.11B21.11B21.11B$120.B3.6B.15B.6B3.6B.15B.4B7.4B.15B
27.13B4.B9.B4.13B4.2B7.2B4.13B4.2B$120.B3.14B.14B3.14B.13B5.13B.8B25.
15B.4B7.4B.15B.6B3.6B.15B.5B$120.2B.15B.15B.15B.15B.15B.8B25.7B.13B5.
13B.14B3.14B.13B$120.2B.10B3A2B.2B3A10B.10B3A2B.2B3A10B.10B3A2B.2B3A
3B25.7B.15B.15B.15B.15B.13B$120.2B.10BABA2B.2BABA10B.10BABA2B.2BABA
10B.10BABA2B.2BABA3B25.2B3A2B.2B3A10B.10B3A2B.2B3A10B.10B3A2B.2B3A8B$
120.2B.10B3A2B.2B3A10B.10B3A2B.2B3A10B.10B3A2B.2B3A3B25.2BABA2B.2BABA
10B.10BABA2B.2BABA10B.10BABA2B.2BABA8B$236.2B3A2B.2B3A10B.10B3A2B.2B
3A10B.10B3A2B.2B3A8B$120.2B.10B3A2B.2B3A10B.10B3A2B.2B3A10B.10B3A2B.
2B3A3B$120.2B.10BABA2B.2BABA10B.10BABA2B.2BABA10B.10BABA2B.2BABA3B25.
2B3A2B.2B3A10B.10B3A2B.2B3A10B.10B3A2B.2B3A8B$120.2B.10B3A2B.2B3A10B.
10B3A2B.2B3A10B.10B3A2B.2B3A3B25.2BABA2B.2BABA10B.10BABA2B.2BABA10B.
10BABA2B.2BABA8B$120.2B.15B.15B.15B.15B.15B.8B25.2B3A2B.2B3A10B.10B3A
2B.2B3A10B.10B3A2B.2B3A8B$120.B3.14B.14B3.14B.13B5.13B.8B25.7B.15B.
15B.15B.15B.13B$120.B3.6B.15B.6B3.6B.15B.4B7.4B.15B26.7B.13B5.13B.14B
3.14B.13B$126.2B4.13B4.2B7.2B4.13B4.B9.B4.13B27.15B.4B7.4B.15B.6B3.6B
.15B.5B$133.11B21.11B21.11B29.13B4.B9.B4.13B4.2B7.2B4.13B4.2B$133.2B.
B3AB.2B21.2B.B3AB.2B21.2B.B3AB.2B30.11B21.11B21.11B$138.B31.B31.B35.
2B.B3AB.2B21.2B.B3AB.2B21.2B.B3AB.2B$243.B15.B15.B15.B15.B3$216.6B.6B
$215.7B.7B$213.6B3A.3A6B$213.6BABA.ABA6B$214.5B3A.3A5B$213.9B.9B$213.
A8B.8BA$212.BA3B11.3BAB$213.A8B.8BA$213.9B.9B$214.5B3A.3A5B$213.6BABA
.ABA6B$213.6B3A.3A6B$215.7B.7B$216.6B.6B$217.5B.5B$216.6B.6B$216.6B.
6B$215.7B.7B$216.6B.6B$217.5B.5B$218.4B.4B$218.4B.4B$212.B$218.4B.4B$
218.4B.4B$217.5B.5B$216.6B.6B$215.7B.7B$216.6B.6B$216.6B.6B$217.5B.5B
$216.6B.6B$215.7B.7B$213.6B3A.3A6B$213.6BABA.ABA6B$214.5B3A.3A5B$213.
9B.9B$213.A8B.8BA$212.BA3B11.3BAB$213.A8B.8BA$213.9B.9B$214.5B3A.3A5B
$213.6BABA.ABA6B$213.6B3A.3A6B$215.7B.7B$216.6B.6B$217.5B.5B$216.6B.
6B$216.6B.6B$215.7B.7B$215.7B.7B$216.6B.6B$216.6B.6B$218.4B.4B$212.B$
218.4B.4B$216.6B.6B$216.6B.6B$215.7B.7B$215.7B.7B$216.6B.6B$216.6B.6B
$217.5B.5B$216.6B.6B$215.7B.7B$213.6B3A.3A6B$213.6BABA.ABA6B$214.5B3A
.3A5B$213.9B.9B$213.A8B.8BA$212.BA3B11.3BAB$213.A8B.8BA$213.9B.9B$
214.5B3A.3A5B$213.6BABA.ABA6B$213.6B3A.3A6B$215.7B.7B$216.6B.6B$217.
5B.5B$216.6B.6B$216.6B.6B$215.7B.7B$215.7B.7B$216.6B.6B$216.6B.6B$
218.4B.4B$212.B$218.4B.4B!

mniemiec
Posts: 1220
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Re: Thread for your unsure discoveries

Post by mniemiec » November 21st, 2020, 1:24 am

goldenratio wrote:
November 20th, 2020, 1:56 pm
This is known right? ...
That is quite an improvement over the previous add-candelfrobra converters. While it's not an improvement in this particular case, it does improve a fair number of larger syntheses. E.g. it reduces 9 19-bit P3s. I have listed (but not yet examined) the 20- and 21-bit ones. It also reduces 8 dual-rotor trivial higher-period oscillators from 24-33 bits so far.

I've also identified 8 small ones so far that could be further improved by bringing the inducting object (still-life, beacon, table, etc.) from below in simultaneously, which could sometimes allow for using a 2-glider block on the right instead of the 3-glider one. It will take a while to get through all of these, but I'll update this once I'm done.

bubblegum
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Re: Thread for your unsure discoveries

Post by bubblegum » November 21st, 2020, 1:44 am

mniemiec wrote:
November 21st, 2020, 1:24 am
goldenratio wrote:
November 20th, 2020, 1:56 pm
This is known right? ...
That is quite an improvement over the previous add-candelfrobra converters. While it's not an improvement in this particular case, it does improve a fair number of larger syntheses. E.g. it reduces 9 19-bit P3s. I have listed (but not yet examined) the 20- and 21-bit ones. It also reduces 8 dual-rotor trivial higher-period oscillators from 24-33 bits so far.

I've also identified 8 small ones so far that could be further improved by bringing the inducting object (still-life, beacon, table, etc.) from below in simultaneously, which could sometimes allow for using a 2-glider block on the right instead of the 3-glider one. It will take a while to get through all of these, but I'll update this once I'm done.
Speaking of the list, when (if ever) are you updating your synthesis database? The syntheses there can be very useful, even upon realising that the last time it was updated was around syringe time, and I'd hate to see the synthesis go-to becoming Catagolue's singular-synthesis pages.
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GUYTU6J
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Re: Thread for your unsure discoveries

Post by GUYTU6J » November 21st, 2020, 2:27 am

bubblegum wrote:
November 21st, 2020, 1:44 am
mniemiec wrote:
November 21st, 2020, 1:24 am
...
Speaking of the list, when (if ever) are you updating your synthesis database? The syntheses there can be very useful, even upon realising that the last time it was updated was around syringe time, and I'd hate to see the synthesis go-to becoming Catagolue's singular-synthesis pages.
Pardon my self-promoting, but I've been drafting a synthesis component catalog on LifeWiki dubbed Project Wöhler (though it has not been updated since Extrementhusiast's comment). It could potentially get expanded like Mark's original site with out efforts.
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ColorfulGalaxy
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Re: Thread for your unsure discoveries

Post by ColorfulGalaxy » November 27th, 2020, 7:51 am

What's that constellation called? (in the red circle)

Code: Select all

x = 32, y = 23, rule = LifeHistory
8.7D$5.3D6.D$3.2D9.D$.2D11.D$2D12.D$D13.D$D13.D$D14.D$D14.D$D14.D$.D13.
D$.D13.D$.2D11.2D$3.D9.2D$3.2D7.2D$4.2D5.2D$6.5D2$25.A3.A$24.A.A3.2A$
23.A.A3.3A$23.4A.A.2A$25.A.4A!
I once found it when I was studying eco engines.

EDIT: It's here:

Code: Select all

x = 18, y = 13, rule = LifeHistory
.3A11.3A$A2.A10.A2.A$3.A4.3A6.A$3.A4.A2.A5.A$2.A4.A8.A6$8.3A$8.A2.A$7.
A!

Code: Select all

x = 9, y = 9, rule = LifeColorful
6E.2B$6E.2B$7.2B$2D5.2B$2D5.2B$2D5.2B$2D$2D.6C$2D.6C!
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Hunting
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Re: Thread for your unsure discoveries

Post by Hunting » November 27th, 2020, 8:45 am

ColorfulGalaxy wrote:
November 27th, 2020, 7:51 am
What's that constellation called? (in the red circle)

Code: Select all

x = 32, y = 23, rule = LifeHistory
8.7D$5.3D6.D$3.2D9.D$.2D11.D$2D12.D$D13.D$D13.D$D14.D$D14.D$D14.D$.D13.
D$.D13.D$.2D11.2D$3.D9.2D$3.2D7.2D$4.2D5.2D$6.5D2$25.A3.A$24.A.A3.2A$
23.A.A3.3A$23.4A.A.2A$25.A.4A!
I once found it when I was studying eco engines.
I think GUYTU6J found it once, and I commented, and someone (mniemiec?) commented it was called W or something, and someone (???) commented only symmetric patterns have composer names.
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MathAndCode
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Re: Thread for your unsure discoveries

Post by MathAndCode » November 27th, 2020, 3:10 pm

Hunting wrote:
November 27th, 2020, 8:45 am
I think GUYTU6J found it once, and I commented, and someone (mniemiec?) commented it was called W or something, and someone (???) commented only symmetric patterns have composer names.
I think that I found at least two conduits accepting it because it has this small predecessor.

Code: Select all

x = 6, y = 4, rule = B3/S23
2b3o$2bo2bo$2bo$o!
I also found a way to make it from an R-sequence.
I have reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

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goldenratio
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Re: Thread for your unsure discoveries

Post by goldenratio » November 27th, 2020, 5:20 pm

It's also one-fourth of a Gabriel's p138. The best 3G synth if anyone ever needs it:

Code: Select all

x = 5, y = 14, rule = B3/S23
bo$2bo$3o3$2b3o$4bo$3bo4$2b3o$4bo$3bo!
We really need to name the resulting constellation since I'm pretty sure it's been rediscovered several times, "W" should be fine (as long as there isn't some common active object that's used in conduits that would deserve the name more)
still lost in OCA and stuck on contributing to CGOL

Code: Select all

x = 5, y = 7, rule = B2n3-cq4e5y6c7c/S23-k
2o$2o3$3bo$3b2o$3bo!

Code: Select all

x = 4, y = 1, rule = B3-jkr5ak/S2-n34a5i
4o!

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wwei23
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Re: Thread for your unsure discoveries

Post by wwei23 » November 27th, 2020, 5:55 pm

goldenratio wrote:
November 27th, 2020, 5:20 pm
"W" should be fine (as long as there isn't some common active object that's used in conduits that would deserve the name more)
Don't we have the wing already for that?

Code: Select all

x = 4, y = 4, rule = B3/S23
2b2o$bobo$o2bo$b2o!
@Hunting so we're making a referential signature chain?
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MathAndCode
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Re: Thread for your unsure discoveries

Post by MathAndCode » November 27th, 2020, 10:49 pm

MathAndCode wrote:
November 27th, 2020, 3:10 pm
I think that I found at least two conduits accepting it.
I decided to search for more conduits and found this:

Code: Select all

x = 11, y = 8, rule = B3/S23
2o$bo$bobo$2b2o$7b3o$7bo2bo$6bo$5bo!
Now I think that we should look into this because that sequence apparently somewhat common:

Code: Select all

x = 5, y = 2, rule = B3/S23
5o$o!


Edit:

Code: Select all

x = 10, y = 16, rule = LifeHistory
8.A$6.3A$5.A$5.2A6$5C$C2$7.D.D$8.2D$.2A5.D$.2A!

Code: Select all

x = 20, y = 17, rule = LifeHistory
16.A$14.3A$13.A$13.2A2$18.D$18.2D$17.D.D2$8.5C$3.2A3.C$2.A.A$2.A$.2A10.D$12.2D$11.2D$11.D!

Code: Select all

x = 13, y = 19, rule = LifeHistory
11.A$9.3A$8.A$8.2A4$2.2D$.2D7.3D$2D.5C4.D$3.C7.D5$8.2A$8.A$9.3A$11.A!

Code: Select all

x = 21, y = 19, rule = LifeHistory
13.A$11.3A$.2A7.A6.A$2.A7.2A3.3A$2.A.A9.A$3.2A9.2A3$18.3D$20.D$19.D$9.5C$9.C$3.2A$2.A.A$2.A10.2D$.2A11.D$12.2D$12.D!
I have reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

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Entity Valkyrie 2
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Re: Thread for your unsure discoveries

Post by Entity Valkyrie 2 » November 28th, 2020, 12:45 am

Code: Select all

x = 19, y = 23, rule = LifeHistory
15.A$13.3A$12.A$12.2A2$17.D$17.2D$16.D.D2$7.5C$2.2A3.C$.A.A$.A$2A2$
14.A$10.2A.A.A$9.A.A.A.A$6.A2.A.A.A.A.2A$6.4A.2A2.A2.A$10.A4.2A$8.A.A
$8.2A!
EDIT:

Code: Select all

x = 45, y = 20, rule = LifeHistory
8.A35.A$6.3A33.3A$5.A35.A$5.2A34.2A6$5C31.5C$C30.2A3.C$30.A.A$30.A$
29.2A$.2A$.2A3$38.2A$38.2A!
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MathAndCode
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Re: Thread for your unsure discoveries

Post by MathAndCode » November 28th, 2020, 11:59 am

Entity Valkyrie 2 wrote:
November 28th, 2020, 12:45 am

Code: Select all

x = 19, y = 23, rule = LifeHistory
15.A$13.3A$12.A$12.2A2$17.D$17.2D$16.D.D2$7.5C$2.2A3.C$.A.A$.A$2A2$
14.A$10.2A.A.A$9.A.A.A.A$6.A2.A.A.A.A.2A$6.4A.2A2.A2.A$10.A4.2A$8.A.A
$8.2A!
EDIT:

Code: Select all

x = 45, y = 20, rule = LifeHistory
8.A35.A$6.3A33.3A$5.A35.A$5.2A34.2A6$5C31.5C$C30.2A3.C$30.A.A$30.A$
29.2A$.2A$.2A3$38.2A$38.2A!
Now we just need to keep an eye out for things that make it.
I have reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

nokangaroo
Posts: 46
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Re: Thread for your unsure discoveries

Post by nokangaroo » November 28th, 2020, 9:00 pm

MathAndCode wrote:
November 28th, 2020, 11:59 am
Now we just need to keep an eye out for things that make it.
Cheating, but could actually be useful:

Code: Select all

x = 27, y = 22, rule = LifeHistory
24.3A$23.3BA$15.A6.3BA$13.3A5.4B$12.A7.4B$6.C2.B2.2A5.4B$5.2BC6B4.4B$
5.3C5B4.4B$5.10B.4B$4.15B$4.14B$4.13B$2.2A12B$.A.A2B.7B$.A5.C6B$2A4.B
2C5B$6.CBC5B$9.4B$10.2B$9.2B$8.B2AB$9.2A!
How about this? It is 8 ticks behind the Snark:

Code: Select all

x = 59, y = 26, rule = LifeHistory
2$11.2A$11.A.A$13.A4.2A$9.4A.2A2.A2.A$9.A2.A.A.A.A.2A9.A14.C$11.BABAB
A.A12.3A4.2A5.C2B$12.B2ABA.A15.A2.B2AB3.B3C$13.2B.BA15.2AB2.2B3.4B$
12.3B18.6B3.4B$3.2A6.5B19.5B.4B$4.A6.B2A3B17.10B$4.A.AB3.B2A4B16.9B$
5.2AB.10B15.6B.B$7.13B13.7B$7.14B11.4B.4B$7.4B2C9B9.2C2B3.4B$9.3B2C3B
2.BDBD8.B2C5.BDBD$11.C3B5.B2DB7.CB7.B2DB$13.4B4.D19.D$15.2A$15.A$16.
3A$18.A!
Probably not my invention. Makes a nice fake p50 oscillator:

Code: Select all

x = 123, y = 123, rule = B3/S23
85b2o$85bo2bob2o6b2o3b2o$87b2obobo5bo3bobo$88bobobo2b2obo3bo$83b2obob
2ob2obobob2ob2o$83bob2obo5bobobo$87bo6b2ob2ob2obo$84b2o12bobob2o$84bo
14bo$82bobo$82b2o$92b2o7b2o$26bo3b2o3b2o51b2o2b2o7b2o$24b3o4bo4bo47b2o
3bo$23bo6bo3bo49bo2bo9bo$23b2o5b2o2b2o50b3o7bobo$32bobo2bo52b2o3bo3bo$
32bo3b2o50b2obo4bobo$b2o30bo13b2o35b2obo$bo4b2o24b2o8b2o4bo35bob2o8b3o
$2b3o2bo3b2o24b2o3bo2b3o$4bobo4b2o24b2o4bobo$6b2o34b2o52b3o$bo2bo3bo7b
o16bo7bo3bo2bo34bo23b2o$b7o7bobobo2bob2obo2bobobo7b7o33bobo11bobo8bobo
$6bo7bo4bo2bo4bo2bo4bo7bo39bo12bobo10bo$3b3o9bobobo2bob2obo2bobobo9b3o
62b2o$3bo2bo9bo16bo9bo2bo49b3o$4b3o36b3o$11b2o24b2o$2b3o6b2o24b2o6b3o
48b3o8b2obo$bo2bo11b2o27bo2bo58bob2o$b3o12bo29b3o34bo12bobo4bob2o$4bo
7b2o3bo27bo37bobo9bo3bo3b2o$b5o6bo2bobo18b2o6b5o34b2o11bobo7b3o$2bo3bo
7b2o2b2o16bo6bo3bo49bo9bo2bo$o3b2o9bo3bo17b3o4b2o3bo37b2o16bo3b2o$2o3b
obo5bo4bo14bo5bo2bobo3b2o36bobo3b2o7b2o2b2o$4bo2b3o3b2o3b2o4bo9bo5b3o
2bo40bo5b2o7b2o$4b2o4bo12bobo6b3o8bobo39b2o$9b2o13bo17b2ob2o37bo$84bo
14bo$82bob2o12bobob2o$82b2o3bo6b2ob2ob2obo$56bo14bo13b2obo5bobobo$56b
3o4b2o5bo11b3obob2ob2obobob2ob2o$59bo3b2o5b3o9bo5bobobo2b2obo3bo$58b2o
27b2obobo5bo3bobo$85bo2bob2o6b2o3b2o$85b2o$46bo$44bobo$45b2o3$56b2o$
57b2o6bobo9b2o$56bo9b2o9bo$45b2o19bo8bobo$45b2o28b2o4$46b2o28b2o$45bob
o8bo19b2o$45bo9b2o9bo$44b2o9bobo6b2o$65b2o3$76b2o$76bobo$76bo$36b2o$
18b2o3b2o6b2obo2bo$18bobo3bo5bobob2o27b2o$20bo3bob2o2bobobo5bo9b3o5b2o
3bo$20b2ob2obobob2ob2obob3o11bo5b2o4b3o$24bobobo5bob2o13bo14bo$19bob2o
b2ob2o6bo3b2o$19b2obobo12b2obo$23bo14bo$38bo37b2ob2o17bo13b2o$36b2o39b
obo8b3o6bobo12bo4b2o$20b2o7b2o5bo40bo2b3o5bo9bo4b2o3b2o3b3o2bo$16b2o2b
2o7b2o3bobo36b2o3bobo2bo5bo14bo4bo5bobo3b2o$12b2o3bo16b2o37bo3b2o4b3o
17bo3bo9b2o3bo$12bo2bo9bo49bo3bo6bo16b2o2b2o7bo3bo$14b3o7bobo11b2o34b
5o6b2o18bobo2bo6b5o$18b2o3bo3bo9bobo37bo27bo3b2o7bo$16b2obo4bobo12bo
34b3o29bo12b3o$12b2obo58bo2bo27b2o11bo2bo$12bob2o8b3o48b3o6b2o24b2o6b
3o$84b2o24b2o$77b3o36b3o$24b3o49bo2bo9bo16bo9bo2bo$12b2o62b3o9bobobo2b
ob2obo2bobobo9b3o$13bo10bobo12bo39bo7bo4bo2bo4bo2bo4bo7bo$13bobo8bobo
11bobo33b7o7bobobo2bob2obo2bobobo7b7o$14b2o23bo34bo2bo3bo7bo16bo7bo3bo
2bo$24b3o52b2o34b2o$77bobo4b2o24b2o4bobo$75b3o2bo3b2o24b2o3bo2b3o$24b
3o8b2obo35bo4b2o8b2o24b2o4bo$35bob2o35b2o13bo30b2o$24bobo4bob2o50b2o3b
o$23bo3bo3b2o52bo2bobo$24bobo7b3o50b2o2b2o5b2o$25bo9bo2bo49bo3bo6bo$
33bo3b2o47bo4bo4b3o$20b2o7b2o2b2o51b2o3b2o3bo$20b2o7b2o$39b2o$38bobo$
23bo14bo$19b2obobo12b2o$19bob2ob2ob2o6bo$24bobobo5bob2obo$20b2ob2obobo
b2ob2obob2o$20bo3bob2o2bobobo$18bobo3bo5bobob2o$18b2o3b2o6b2obo2bo$36b
2o!

MathAndCode
Posts: 2589
Joined: August 31st, 2020, 5:58 pm

Re: Thread for your unsure discoveries

Post by MathAndCode » November 28th, 2020, 9:18 pm

nokangaroo wrote:
November 28th, 2020, 9:00 pm
Cheating, but could actually be useful
We already know several ways of making honey farms. I was talking about the hexomino that eventually makes two blinkers if undisturbed.
I have reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

User avatar
EvinZL
Posts: 361
Joined: November 8th, 2018, 4:15 pm
Location: What is "location"?

Re: Thread for your unsure discoveries

Post by EvinZL » November 30th, 2020, 5:22 pm

Decently edgy H-to-block

Code: Select all

x = 28, y = 20, rule = LifeHistory
16.3B$14.6B$14.5B2D$2.A12.4B2D$2.3A9.6B$5.A6.8B$4.2A3.B.8B$4.18B$6.
18B$6.18B.2B$5.21B2A$3.21B.B2A$.24B.B$.2BC14B3.3B$3BCBC4B.6B$.2B3C4B
2.B.5B$5BC4B7.2A$9B8.A$2B16.3A$B19.A!

Code: Select all

x = 59, y = 12, rule = B2i3-kq4j/S2-i3
.2A7.2A35.2A7.2A$3A7.3A15.3A15.3A7.3A$.2A7.2A15.A3.A15.2A7.2A$26.A5.A
$26.A5.A$26.3A.3A2$26.3A.3A$26.A5.A$26.A5.A$27.A3.A$28.3A!

User avatar
ColorfulGalaxy
Posts: 301
Joined: July 16th, 2020, 3:37 am
Location: China
Contact:

Re: Thread for your unsure discoveries

Post by ColorfulGalaxy » December 1st, 2020, 1:00 am

EvinZL wrote:
November 30th, 2020, 5:22 pm
Decently edgy H-to-block

Code: Select all

x = 28, y = 20, rule = LifeHistory
16.3B$14.6B$14.5B2D$2.A12.4B2D$2.3A9.6B$5.A6.8B$4.2A3.B.8B$4.18B$6.
18B$6.18B.2B$5.21B2A$3.21B.B2A$.24B.B$.2BC14B3.3B$3BCBC4B.6B$.2B3C4B
2.B.5B$5BC4B7.2A$9B8.A$2B16.3A$B19.A!
I tried to attach a fishhook, but it was eaten.

Code: Select all

x = 28, y = 22, rule = LifeHistory
25.A$23.3A$16.3B3.A$14.6B2.2A$14.5B2D$2.A12.4B2D$2.3A9.6B$5.A6.8B$4.2A
3.B.8B$4.18B$6.18B$6.18B.2B$5.21B2A$3.21B.B2A$.24B.B$.2BC14B3.3B$3BCB
C4B.6B$.2B3C4B2.B.5B$5BC4B7.2A$9B8.A$2B16.3A$B19.A!

Code: Select all

x = 9, y = 9, rule = LifeColorful
6E.2B$6E.2B$7.2B$2D5.2B$2D5.2B$2D5.2B$2D$2D.6C$2D.6C!
List of helpful topics

MathAndCode
Posts: 2589
Joined: August 31st, 2020, 5:58 pm

Re: Thread for your unsure discoveries

Post by MathAndCode » December 1st, 2020, 1:16 am

ColorfulGalaxy wrote:
December 1st, 2020, 1:00 am
I tried to attach a fishhook, but it was eaten.
The fishhook's tail is in the wrong position to eat a block using the fishhook's typical eating mechanism (which wouldn't work anyway unless the block is perturbed by something else). However, because of how this particular block is formed, a fishhook-type catalyst won't work (as there isn't enough room to catalyze the block from below and to the right). Instead, one must one a block-style catalyst.

Code: Select all

x = 28, y = 19, rule = LifeHistory
14.6B2.2A$14.5B2D.2A$2.A12.4B2D$2.3A9.6B$5.A6.8B$4.2A3.B.8B$4.18B$6.18B
$6.18B.2B$5.21B2A$3.21B.B2A$.24B.B$.2BC14B3.3B$3BCBC4B.6B$.2B3C4B2.B.
5B$5BC4B7.2A$9B8.A$2B16.3A$B19.A!
I have reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

User avatar
ColorfulGalaxy
Posts: 301
Joined: July 16th, 2020, 3:37 am
Location: China
Contact:

Re: Thread for your unsure discoveries

Post by ColorfulGalaxy » December 1st, 2020, 7:22 am

MathAndCode wrote:
December 1st, 2020, 1:16 am
ColorfulGalaxy wrote:
December 1st, 2020, 1:00 am
I tried to attach a fishhook, but it was eaten.
The fishhook's tail is in the wrong position to eat a block using the fishhook's typical eating mechanism (which wouldn't work anyway unless the block is perturbed by something else). However, because of how this particular block is formed, a fishhook-type catalyst won't work (as there isn't enough room to catalyze the block from below and to the right). Instead, one must one a block-style catalyst.

Code: Select all

x = 28, y = 19, rule = LifeHistory
14.6B2.2A$14.5B2D.2A$2.A12.4B2D$2.3A9.6B$5.A6.8B$4.2A3.B.8B$4.18B$6.18B
$6.18B.2B$5.21B2A$3.21B.B2A$.24B.B$.2BC14B3.3B$3BCBC4B.6B$.2B3C4B2.B.
5B$5BC4B7.2A$9B8.A$2B16.3A$B19.A!
This H-to-G may be already known, but I'm not sure.

Code: Select all

x = 9, y = 9, rule = LifeColorful
6E.2B$6E.2B$7.2B$2D5.2B$2D5.2B$2D5.2B$2D$2D.6C$2D.6C!
List of helpful topics

User avatar
yujh
Posts: 1833
Joined: February 27th, 2020, 11:23 pm
Location: CHINA

Re: Thread for your unsure discoveries

Post by yujh » December 1st, 2020, 9:02 am

ColorfulGalaxy wrote:
December 1st, 2020, 7:22 am
MathAndCode wrote:
December 1st, 2020, 1:16 am
ColorfulGalaxy wrote:
December 1st, 2020, 1:00 am
I tried to attach a fishhook, but it was eaten.
The fishhook's tail is in the wrong position to eat a block using the fishhook's typical eating mechanism (which wouldn't work anyway unless the block is perturbed by something else). However, because of how this particular block is formed, a fishhook-type catalyst won't work (as there isn't enough room to catalyze the block from below and to the right). Instead, one must one a block-style catalyst.

Code: Select all

x = 28, y = 19, rule = LifeHistory
14.6B2.2A$14.5B2D.2A$2.A12.4B2D$2.3A9.6B$5.A6.8B$4.2A3.B.8B$4.18B$6.18B
$6.18B.2B$5.21B2A$3.21B.B2A$.24B.B$.2BC14B3.3B$3BCBC4B.6B$.2B3C4B2.B.
5B$5BC4B7.2A$9B8.A$2B16.3A$B19.A!
This H-to-G may be already known, but I'm not sure.
Yes, and it’s just a variant of it(this is the fng)

MathAndCode
Posts: 2589
Joined: August 31st, 2020, 5:58 pm

Re: Thread for your unsure discoveries

Post by MathAndCode » December 1st, 2020, 12:10 pm

ColorfulGalaxy wrote:
December 1st, 2020, 7:22 am
This H-to-G may be already known, but I'm not sure.
If you mean SW-2, then yes, that's definitely known. Also there are several versions that are smaller than the one listed above.

Code: Select all

x = 13, y = 14, rule = TripleB3S23
5.2B$5.2B2$3.2A$3.2A2$11.D$9.BF.D$9.BF.D$11.D$G8.2A$G.G6.A.A$3G8.A$2.G8.2A!
I have reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

nokangaroo
Posts: 46
Joined: February 16th, 2017, 6:21 pm

Re: Thread for your unsure discoveries

Post by nokangaroo » December 4th, 2020, 11:06 am

p46 semisnark equivalent

Top: colour-preserving, bottom: colour-changing:

Code: Select all

x = 263, y = 344, rule = LifeHistory
66.4A$65.2A2.A14.2A$64.2A2.A15.2A$65.A2.A$66.2A2$66.2A$65.A2.A$52.4A
8.2A2.A15.2A$36.2A14.A2.2A8.2A2.A14.2A$36.2A15.A2.2A8.4A$53.A2.A$54.
2A2$54.2A$53.A2.A$36.2A15.A2.2A$36.2A14.A2.2A$52.4A4$52.A$50.2A$51.2A
5$51.A$50.A.A$50.2A2$50.2A25.2A$50.A25.2A$51.A26.A$50.2A20$100.2A$99.
2A$101.A32$135.A$134.2A$134.A.A10$146.2A$145.2A$147.A20$30.4A$29.2A2.
A14.2A$28.2A2.A15.2A$29.A2.A$30.2A2$30.2A$29.A2.A$16.4A8.2A2.A15.2A$
2A14.A2.2A8.2A2.A14.2A$2A15.A2.2A8.4A$17.A2.A$18.2A2$18.2A$17.A2.A$2A
15.A2.2A$2A14.A2.2A$16.4A4$16.A$14.2A$15.2A175.2A$191.2A$12.A180.A$6.
2A.A.A.A$6.A.2A.2A5$41.2A$40.2A$42.A161.A$203.2A$203.A.A10$215.2A$
214.2A$216.A7$64.2A$63.2A$65.A161.A$226.2A$226.A.A10$238.2A$237.2A$
239.A18$99.A$98.2A$98.A.A$261.2A$260.2A$262.A7$110.2A$109.2A$111.A44$
156.2A$155.2A$157.A9$168.A$167.2A$167.A.A10$179.2A$178.2A$180.A9$191.
A$190.2A$190.A.A10$202.2A$201.2A$203.A21$225.2A$224.2A$226.A!
A glider advanced by 3 ticks (top), or delayed by 2 (bottom), will toggle it:

Code: Select all

x = 227, y = 220, rule = LifeHistory
30.4A$29.2A2.A14.2A$28.2A2.A15.2A$29.A2.A$30.2A2$30.2A$29.A2.A$16.4A
8.2A2.A15.2A$2A14.A2.2A8.2A2.A14.2A$2A15.A2.2A8.4A$17.A2.A$18.2A2$18.
2A$17.A2.A$2A15.A2.2A$2A14.A2.2A$16.4A4$16.A$14.2A$15.2A5$15.A$14.A.A
$14.2A2$14.2A25.2A$14.A25.2A$15.A26.A$14.2A20$64.2A$63.2A$65.A30$115.
D$114.D$97.3A13.D$97.A14.D2.6D$98.A14.D$114.D$115.D8$110.2A$109.2A$
111.A42$173.D$172.D$157.A13.D$156.2A12.D2.6D$156.A.A12.D$172.D$173.D
7$168.A$167.2A$167.A.A10$179.2A$178.2A$180.A9$191.A$190.2A$190.A.A10$
202.2A$201.2A$203.A21$225.2A$224.2A$226.A!
I don't know if this circuitry is of any use:

Code: Select all

x = 20, y = 23, rule = LifeHistory
19.B$18.2B$17.3B$16.4B$15.4B$14.4B$13.4B$5.6B.CBCB3.B$4.3BD2B.B2CB3.
2B$4.2B3D4BC3.3B$5.BDB2D3B3.4B$2.2B.9B.CBCB$.2A12B2CB$.2AB.11BC$2.B2.
11B$4.7BA3B$4.4B2.ABAB$4.2B2AB.2AB$2.2AB.2A3.B$.A.AB5.2A$.A8.A$2A9.A$
10.2A!
The next glider pair will delete the block and reset the boat.

nokangaroo
Posts: 46
Joined: February 16th, 2017, 6:21 pm

Re: Thread for your unsure discoveries

Post by nokangaroo » December 4th, 2020, 6:14 pm

Boat-bit toggle circuit (a variation of the one posted before, so it may be of use after all):

Code: Select all

x = 123, y = 62, rule = LifeHistory
58.CBC57.CBC$57.B2CB56.B2CB$56.3BC56.3BC$55.4B56.4B$54.4B3.C52.4B3.C$
53.4B3.C2B50.4B3.C2B$52.4B3.B3C49.4B3.B3C$51.4B3.4B49.4B3.4B$50.4B3.
4B49.4B3.4B$49.4B3.4B49.4B3.4B$48.4B3.4B49.4B3.4B$47.4B3.4B49.4B3.4B$
46.4B3.4B49.4B3.4B$45.4B3.4B49.4B3.4B$44.4B3.4B49.4B3.4B$43.4B3.4B49.
4B3.4B$42.4B3.4B49.4B3.4B$41.4B3.4B49.4B3.4B$40.4B3.4B49.4B3.4B$39.4B
3.4B49.4B3.4B$38.4B3.4B49.4B3.4B$37.4B3.4B49.4B3.4B$36.4B3.4B49.4B3.
4B$35.4B3.4B49.4B3.4B$27.2A5.4B3.4B42.2A5.4B3.4B$26.B2AB3.4B3.4B42.B
2AB3.4B3.4B$27.3B2.4B3.4B44.3B2.4B3.4B$14.2A12.B2.4B3.4B32.2A12.B2.4B
3.4B$15.A6.B4.7B3.4B34.A6.B4.7B3.4B$15.A.AB.5B.7B3.4B35.A.AB.5B.7B3.
4B$16.2AB.12B3.4B37.2AB.12B3.4B$18.14B2.4B40.14B2.4B$18.14B.4B41.14B.
4B$18.18B42.18B$19.16B44.16B$19.15B45.15B$19.14B46.14B$20.13B47.13B$
19.15B45.15B$18.16B44.16B$15.3BDBD14B40.3BDBD14B$10.B4.3B2D15B3.2A30.
B4.3B2D15B3.2A$9.2AB.6BD16B3.A29.2AB.6BD16B3.A$9.2A11B3D12B2.A.A27.2A
11B3D12B2.A.A$10.B.9BD2BD12B3.A.A27.B.9BD2BD12B3.A.A$13.7BDB3D11B5.A
3.2A26.7BDB3D11B5.A3.2A$12.8B3D11B11.2A25.8B3D11B11.2A$11.4B.14B41.4B
.14B$10.4B2.15B.2B.3B.B30.4B2.BA13B.2B.3B.B$9.4B3.32B2.B18.4B3.ABA29B
2.B$8.4B4.3B.13B2A11BDB.B2A16.4B4.2AB.13B2A11BDB.B2A$7.4B6.B3.7B2D3B
2A9B3D3B2A15.4B6.B3.7B2D3B2A9B3D3B2A$6.4B6.2A5.6BD14BDBDB.2B15.4B6.2A
5.6BD14BDBDB.2B$5.4B7.A4.6B2D15BD3B17.4B7.A4.6B2D15BD3B$4.4B10.A2.2A.
3BD7B2.2B2.6B17.4B10.A2.2A.3BD7B2.2B2.6B$3.4B10.2A3.A2.9B29.4B10.2A3.
A2.9B$2.4B13.3A3.9B28.4B13.3A3.9B$.4B14.A4.8B29.4B14.A4.8B$4B19.2AB.
4B29.4B19.2AB.4B$3B19.A.AB.2B2AB28.3B19.A.AB.2B2AB$2B20.A6.2A29.2B20.
A6.2A$B20.2A37.B20.2A!
Can be a switch, using a 3rd glider:

Code: Select all

x = 420, y = 365, rule = LifeHistory
402.2A$401.B2A2B3.2A$402.4B2.B2AB$398.B.6B3.2B$396.10B2.2B$378.2A8.2A
6.11B2A2B$377.B2AB8.A5.12B2A3B.B$378.2B9.A.AB2.18B2A$373.B3.2B11.2AB
3.15B.B2A$372.2AB.4B12.18B3.B$372.2A8B10.18B$373.B.B2A6B2.2B2.19B$
376.2A31B$376.24B.7B$372.28B2.6B$372.29B.7B$371.2A29B.6B$371.2A14B.4B
7.9B6.A$372.B.11B2.4B9.8B4.3A$374.10B2.4B11.8B2.A$375.14B13.7B2.2A$
374.14B15.10B$375.13B15.8B$375.13B15.8B$377.2B.4B3AB15.3B2A3B.2B$380.
5BA2B15.4B2A7B$379.4B3A2B15.3BA9B$378.10B15.14B$377.4B.7B13.14B$376.
4B2.8B11.4B2.10B$375.4B4.8B9.4B2.11B.B$374.4B5.9B7.4B.14B2A$373.4B5.
6B.29B2A$372.4B6.7B.29B$371.4B8.6B2.28B$370.4B9.7B.24B$369.4B9.31B2A$
368.4B10.2B2A15B2.2B2.6B2AB.B$367.4B10.18B10.8B2A$366.4B7.B3.18B12.4B
.B2A$365.4B7.2AB.15B3.B2A11.2B3.B$364.4B8.2A18B2.BA.A9.2B$363.4B10.B.
3B2A12B5.A8.B2AB$362.4B14.2B2A11B6.2A8.2A$361.4B16.2B2.10B$360.4B16.
2B3.6B.B$359.4B16.B2AB2.4B$358.4B18.2A3.2B2AB$357.4B26.2A$356.4B$355.
4B3.2A$354.4B3.B2AB$353.4B5.2B$352.5B4.2B$350.2BA11B$350.2A12B$349.2B
2A14B5.B$348.26B$347.29B$346.30B.B$345.32B2A$344.33B2A$343.4B3.28B$
342.4B7.16B.B4.3B$341.4B9.2B.10B$340.4B13.9B$339.4B15.11B$338.4B16.
12B$337.4B17.12B7.2A$336.4B19.11B2.2A2.A2.A$335.4B18.4B.8B2.A.A2.2A$
334.4B19.2A4.7B3.B.2A$333.4B21.A4.7B2.2B2.A$332.4B19.3A6.6B.2BAB.A.2A
$331.4B20.A8.8BA.A.2A.A$330.4B30.8B.A.A$329.4B32.5B4.A2.2A$328.4B33.
6B4.2A.3A$327.4B33.6B6.B4.A$326.4B34.7B3.B2AB3A$325.4B36.8B.B2A.A$
324.4B37.10B$323.4B37.3B2A6B$322.4B32.2A5.2B2A6B$321.4B34.A5.10B$320.
4B35.A.AB2.11B$319.4B37.2AB.12B$318.4B40.15B$317.4B41.16B$316.4B42.
16B.2B$315.4B43.18B2A$314.4B43.17B.B2A$313.4B43.4B2.8B.4B.B$312.4B43.
4B4.7B$311.4B43.4B5.6B$310.4B43.4B6.4B$309.4B43.4B5.A3B$308.4B43.4B5.
A.AB$307.4B43.4B6.A.A$306.4B43.4B8.A$305.4B43.4B6.3A$304.4B43.4B7.A$
303.4B43.4B$302.4B43.4B$301.4B43.4B$300.4B43.4B$299.4B43.4B$298.4B43.
4B$297.4B43.4B$296.4B43.4B$295.4B43.4B$294.4B43.4B$293.4B43.4B$292.4B
43.4B$291.4B43.4B$290.4B43.4B$289.4B43.4B$288.4B43.4B$287.BA2B43.4B$
286.2A2B43.4B$285.2B2A43.4B$284.4B43.4B$283.4B43.4B$282.4B43.4B$281.
4B43.4B$280.4B43.4B$279.4B43.4B$278.4B43.4B$277.4B43.4B$276.4B43.4B$
275.4B43.4B$274.4B43.4B$273.4B43.4B$272.4B43.4B$271.4B43.4B$270.4B43.
4B$269.BA2B43.4B$268.2A2B43.4B$267.2B2A43.4B$266.4B43.4B$265.4B43.4B$
264.4B43.4B$263.4B43.4B$262.4B43.4B$261.4B43.4B$260.4B43.4B$259.4B43.
4B$258.4B43.4B$257.4B43.4B$256.4B43.4B$255.4B43.4B$254.4B43.4B$253.4B
43.4B$252.4B43.4B$251.4B43.4B$250.4B43.4B$249.4B43.4B$248.4B43.4B$
247.4B43.4B$246.4B43.4B$245.4B43.2A2B$244.4B43.ABAB$243.4B43.3BA$242.
4B43.4B$241.4B43.4B$240.4B43.4B$239.4B43.4B$238.4B43.4B$237.4B43.4B$
236.4B43.4B$235.4B43.4B$234.4B43.4B$233.4B43.4B$232.4B43.4B$231.4B43.
4B$230.4B43.4B$229.4B43.4B$228.4B43.4B$227.4B43.4B$226.4B43.4B$225.4B
43.4B$224.4B43.4B$223.BA2B43.4B$222.2A2B43.4B$221.2B2A43.4B$220.4B43.
4B$219.4B43.4B$218.4B43.4B$217.4B43.4B$216.4B43.4B$215.4B43.4B$214.4B
43.4B$213.4B43.4B$212.4B43.4B$211.4B43.4B$210.4B43.4B$209.4B43.4B$
208.4B43.4B$207.4B43.4B$206.4B43.4B$205.BA2B43.4B$204.2A2B43.4B$203.
2B2A43.4B$202.4B43.4B$201.4B43.4B$200.4B43.4B$199.4B43.4B$198.4B43.4B
$197.4B43.4B$196.4B43.4B$195.4B43.4B$194.4B43.4B$193.4B43.4B$192.4B
43.4B$191.4B43.4B$190.4B43.4B$189.4B43.4B$188.4B43.4B$187.4B43.4B$
186.4B43.4B$185.4B43.4B$184.4B43.4B$183.4B43.4B$182.4B43.4B$181.4B43.
2A2B$180.4B43.ABAB$179.4B43.3BA$178.4B43.4B$177.4B43.4B$176.4B43.4B$
175.4B43.4B$174.4B43.4B$173.4B43.4B$172.4B43.4B$171.4B43.4B$170.4B43.
4B$169.4B43.4B$168.4B43.4B$167.4B43.4B$166.4B43.4B$165.4B43.4B$164.4B
43.4B$163.4B43.4B$162.4B43.4B$161.4B43.4B$160.4B43.4B$159.BA2B43.4B$
158.2A2B43.4B$157.2B2A43.4B$156.4B43.4B$155.4B43.4B$154.4B43.4B$153.
4B43.4B$152.4B43.4B$151.4B43.4B$150.4B43.4B$149.4B43.4B$148.4B43.4B$
147.4B43.4B$146.4B43.4B$145.4B43.4B$144.4B43.4B$143.4B43.4B$142.4B43.
4B$141.BA2B43.4B$140.2A2B43.4B$139.2B2A43.4B$138.4B43.4B$137.4B43.4B$
136.4B43.4B$135.4B43.4B$63.2A11.A57.4B43.4B$62.B2AB9.A.A55.4B43.4B$
63.3B9.A.A2.2A3.A46.4B43.4B$62.B.B9.2A.2A2.A2.A.A6.2A36.4B43.4B$62.5B
8.B2.A.A3.A.A4.2B2AB34.4B43.4B$62.6B6.2ABA2.4A.A5.4B34.4B43.4B$62.8B
4.2A.A.A3.A7.6B31.4B43.4B$63.13B2.A.AB2.A7.5B30.4B43.4B$61.13B5.A.A2B
.A6.6B28.4B43.4B$60.15B5.A2B.2A6.7B26.4B43.4B$60.15B4.3B10.6B26.4B43.
4B$59.17B.B.2B10.7B25.4B43.4B$59.29B4.6B24.4B43.4B$58.13B2A16B2.7B23.
4B43.4B$57.14B2A16B2.7B22.4B43.4B$56.2AB3.27B.9B20.4B43.4B$55.A2.A4.
36B19.4B43.4B$54.A.2A5.6B3.B2.2B2.16BA3B4.A13.4B43.4B$54.A7.6B14.12B
3A2B2A.2BA11.4B43.4B$53.2A6.9B14.10B2ABA6BA10.4B43.4B$60.4B4.2A15.8B
2AB2A4B.A10.4B43.4B$31.2A26.4B5.A15.13BABAB12.4B43.4B$30.B2A2B3.2A18.
4B7.3A12.13BABAB11.4B43.4B$31.4B2.B2AB16.4B10.A10.2AB.12B2AB10.4B43.
4B$27.B.6B3.2B16.4B21.A.AB4.12B9.4B43.4B$25.10B2.2B16.4B22.A9.11B7.4B
43.4B$7.2A8.2A6.11B2A2B14.4B22.2A8.13B5.4B43.4B$6.B2AB8.A5.12B2A3B.B
10.4B33.4BAB2A4B5.4B43.4B$7.2B9.A.AB2.18B2A8.4B35.3BABAB2AB5.4B43.4B$
2.B3.2B11.2AB3.15B.B2A7.4B37.2B3A4B4.4B43.4B$.2AB.4B12.18B3.B7.4B38.
5B3AB3.4B43.4B$.2A8B10.18B10.4B39.9B2.4B43.4B$2.B.B2A6B2.2B2.19B10.4B
41.5B4.4B43.4B$5.2A3BA27B9.4B42.4B4.4B43.4B$5.4B3A17B.7B9.4B43.A3B3.
4B43.4B$.7B2AB2A16B2.6B8.4B43.A3B3.4B43.4B$.11BA17B.7B6.2A2B43.B3A3.
4B43.4B$2A29B.6B5.2B2A43.4B3.4B43.4B$2A8BA5B.4B7.9B5.2BAB43.4B3.4B43.
4B$.B.6B2A3B2.4B9.8B4.4B43.4B3.BA2B43.4B$3.5B2ABAB2.4B11.8B2.4B43.4B
3.2A2B43.4B$4.14B13.7B.4B43.4B3.2B2A43.4B$3.14B15.10B43.4B3.4B43.4B$
4.13B15.9B43.4B3.4B43.4B$4.3BA9B15.8B36.2A5.4B3.4B43.4B$6.2A.8B15.8B.
2B32.B2AB3.4B3.4B43.4B$9.8B15.13B31.3B2.4B3.4B43.4B$9.8B15.13B18.2A
12.B2.4B3.4B43.4B$7.10B15.14B18.A6.B4.7B3.4B43.4B$7.2A2.4BABA13.14B
19.A.AB.5B.7B3.4B43.4B$8.A2.5B2AB11.4B2.10B19.2AB.12B3.4B43.4B$5.3A4.
4BA3B9.4B2.11B.B19.14B2.4B43.4B$5.A6.9B7.4B.14B2A18.14B.4B43.4B$11.6B
.29B2A18.18B43.4B$11.7B.29B20.16B43.4B$12.6B2.28B20.15B43.4B$12.7B.
24B24.14B43.4B$11.31B2A25.9BA3B42.4B$11.19B2.2B2.6B2AB.B21.8B2A5B40.
4B$10.18B10.8B2A19.10B2A4B39.4B$6.B3.18B12.4B.B2A16.20B37.4B$5.2AB.
15B3.B2A11.2B3.B12.B4.20B3.2A31.4B$5.2A18B2.BA.A9.2B16.2AB.23B3.A30.
4B$6.B.3B2A12B5.A8.B2AB15.2A26B2.A.AB11.2A13.4B$9.2B2A11B6.2A8.2A17.B
.25B3.A.AB.B4.2A.A.A5.A6.4B$10.2B2.10B38.23B5.A3B2A.A2.A.A5.3A5.4B$9.
2B3.6B.B39.22B6.3B.B2A.2A2.2AB3.A7.4B$8.B2AB2.4B42.4B.14B10.2B3.B6.2B
4.2A5.4B$9.2A3.2B2AB40.4B2.15B.2B.3B.2B2A10.7B4.4B$16.2A40.4B3.25BABA
6B3.5B5.4B$57.4B4.3B.13B2A6BA9B.7B3.4B$56.4B6.B3.12B2A16B.7B2.4B$55.
4B6.2A5.28B.3BA3B.4B$54.4B7.A4.35BA6B$53.4B10.A2.2A.11B2.2B2.9B2A2BA
2BA4B$52.4B10.2A3.A2.9B10.8BA4BA4B$51.4B13.3A3.9B12.4B3A3B2A4B$50.4B
14.A4.8B14.9BA7B$49.4B19.2AB.4B14.B2A14B$48.4B19.A.AB.2B2AB13.BABA13B
$47.4B20.A6.2A13.3BAB2AB.3B.4B$46.4B20.2A21.4B3A2B.B3.2B$45.4B44.4B2A
2BAB$44.4B46.5B2A2B$43.4B47.10B$42.4B49.8B$42.3B43.2A4.7B.3B$40.2AB
45.A.A.2A5B4.2A$39.A.AB47.AB2AB.3B4.A$39.A49.A2.B3.2B6.3A$38.2A49.2A.
2A2.3B7.A$90.A.A3.B2AB$90.A.A4.2A$91.A!

MathAndCode
Posts: 2589
Joined: August 31st, 2020, 5:58 pm

Re: Thread for your unsure discoveries

Post by MathAndCode » December 4th, 2020, 7:48 pm

nokangaroo wrote:
December 4th, 2020, 6:14 pm
Can be a switch, using a 3rd glider:
That looks useful. What is the minimum period of a toggle-able gun using it?
I have reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

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