ConwayLife.com

Posted: **August 23rd, 2013, 2:43 pm**

I've made a Spartan H-to-MWSS converter, which contains a nice void for accommodating seeds of destruction:

x = 186, y = 172, rule = LifeHistory
59.A$59.3A$62.A$61.2A35.A$61.4B31.3A$63.3B29.A$63.4B28.2A$64.4B15.A8.
5B$65.4B14.3A5.4B12.A$66.4B16.A3.7B10.3A$67.4B14.2A2.9B12.A$68.4B10.B
2.3B.11B9.2A$69.4B8.3B3.13B9.4B$70.4B7.18B2A10.3B$71.4B6.18B2A10.4B$
72.4B4.18B.B12.4B23.2A$73.4B2.18B16.4B22.A$74.4B.20B15.4B18.BA.A$75.
25B2.7B.B4.4B14.2A.B2A$76.24B2.13B.4B12.B2A2B$77.23BD26B6.4B$46.A28.B
2.23BD21BD4B3.6B$46.3A12.B.3B.4B2.28B2D18B3D4B2.6B$49.A10.40B2D2B2A
15BDBD4B.7B$48.2A3.B5.2B2A11BDB2A22BD3B2A15BD15B$48.8B3.2B2A9B3DB2A
21B.11B3.2B2.20B$50.8B.13BDBD23B2.10B11.18B$50.22BD25B3.6B16.16B$49.
15B.2B2.28B5.3B19.14B$47.17B7.13B.13B4.B20.16B$44.19B11.9B2.13B3.2A
20.14B.B2A$43.4BC15B12.7B3.11B5.A19.2AB.3B3.6B.BA.A$43.4BCBC4B.7B18.B
4.9B5.A.A18.A.AB7.6B4.A$43.4B3C13B23.8B5.2A19.A9.2B2D2BD4.2A$43.6BC
14B22.8B25.2A4.2A2.4B3DB$43.10B2.8B23.6B32.A.A7BD4B$42.4B11.6B24.5B
32.A3.11B$41.4B12.5B5.2B18.3B33.2A3.4B2A5B$40.4B13.5B4.6B57.3B2A5B$
39.4B15.3B4.8B56.10B$38.4B8.2A6.19B53.9B$37.4B10.A6.20B.B50.9B$36.4B
11.A.AB3.24B48.8B$35.4B13.2AB.26B49.8B$34.4B16.28B50.6B$33.4B17.29B.B
.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.7B.B.B.B.B.B.B.B.B.B.B
.B.B.B.B.B.B.B.B.B.B.B.B.B$32.4B18.132B$32.3B20.131B$30.2AB24.129B$
29.A.AB28.10B.2B.111B$29.A32.9B4.111B$28.2A29.12B6.B.B.B.B.5B.B.B.B.B
.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.7B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B
.B.B.B.B.B.B.B$58.12B16.4B41.6B$58.12B17.4B39.7B$36.B21.11B19.4B38.2B
3D2B8.A$35.4B19.B3D9B18.4B37.4BD3B5.3A$33.6B19.2BD5B3.2A19.4B36.3B3D
2B4.A$31.9B16.B.2B3D3B3.A21.4B36.8B3.2A$30.13B15.7B5.3A19.4B35.3B2A2B
2.4B$29.16B12.8B7.A20.4B32.5B2A2B.3B$29.16B11.9B29.4B31.13B$29.17B5.B
3.8B32.4B29.16B$28.25B.9B33.4B27.18B$26.38B33.4B27.20B$25.39B34.4B27.
20B$24.39B36.3B28.18B3.2A$23.40B.2B34.4B27.16B4.A$22.37B2A4B2A35.2A
23.20B.BA.A$21.4B.26B.6B2A2B.B2A35.A21.23B.B2A$20.4B2.25B4.B2.5B2.B
37.3A16.27B$19.4B4.23B8.6B41.A16.26B$18.4B5.23B10.4B58.28B$17.4B7.B2.
20B8.B2A2B59.28B$16.4B12.20B8.2A.B2A57.29B$15.4B15.2B.16B10.BA.A58.
28B$14.4B19.3B.8B.4B12.A58.28B$13.4B23.9B2.4B11.2A60.25B$12.4B23.10B
3.4B72.23B.B2A$11.4B24.3B.6B4.4B72.22B.BA.A$10.4B23.2AB3.7B4.4B71.2B.
11B.6B5.A$9.4B23.A.AB3.8B4.4B75.9B2.4B6.2A$8.4B24.A7.8B4.4B75.7B2.B2A
2B$7.4B24.2A7.9B4.4B72.7B5.2A$6.4B33.6B.4B4.4B66.2A2.8B$5.4B19.A14.7B
.4B4.4B64.A.A12B$4.4B20.3A13.6B2.4B4.4B63.A3.11B$4.3B24.A5.B4.8B3.4B
4.4B61.2A3.4B2A5B$2.2AB25.2A3.4B.6B2AB5.4B4.4B66.3B2A5B$.A.AB25.16B2A
2B5.4B4.4B65.10B$.A30.17B7.4B4.4B65.9B$2A29.17B9.4B4.4B64.9B$32.13B
13.4B4.4B63.8B$34.12B13.4B4.4B63.8B$36.10B14.4B4.4B63.6B$36.11B14.4B
4.4B62.6B4.2A$37.2B.7B15.4B4.4B61.6B4.A$37.11B15.4B4.4B59.7B.BA.A$36.
11B17.4B4.4B58.6B2.B2A$36.11B18.4B4.4B58.8B$36.11B19.4B4.4B57.8B$36.
8B2.B2A18.4B4.4B55.8B$36.7B3.BA.A18.4B4.4B54.7B$36.7B6.A19.4B4.4B44.
2A7.6B$36.6B7.2A19.4B4.4B44.A6.2B3D2B$35.7B29.4B4.4B43.A.AB3.4BD2B$
34.8B30.4B4.4B43.2AB2.4B3DB$33.8B32.4B4.4B23.A20.11B$32.9B33.4B4.4B
22.3A18.11B$31.4B.6B33.4B4.4B24.A17.11B$30.4B.7B34.4B4.4B22.2A16.11B$
29.4B2.6B36.3B5.4B21.4B15.7B.2B$28.4B3.6B37.4B4.4B22.3B14.11B$27.4B4.
6B39.2A5.4B21.4B14.10B$26.4B4.8B38.A7.4B21.4B13.12B$25.4B6.8B38.3A5.
4B21.4B13.13B$24.4B6.9B40.A6.4B21.4B9.17B2.B$23.4B7.9B48.4B21.4B7.18B
.B2A$22.4B8.10B48.4B21.4B5.2B2A17B2A$21.4B9.5B2A3B49.4B21.4B5.B2A6B.
11B$20.4B10.5B2A4B3.2A44.4B21.4B3.8B4.B2.5B$19.4B11.11B3.A46.4B21.4B
2.6B8.4B$18.4B12.12BA.A47.4B21.4B.7B6.4B$17.4B15.8B2.2A49.4B21.4B.6B
5.4B$16.4B10.2A4.7B55.4B21.9B5.4B$15.4B12.A4.6B57.4B21.8B4.4B$14.4B
13.A.AB.6B58.4B21.8B2.4B$13.4B15.2AB.7B58.4B21.7B.4B$12.4B18.8B60.4B
21.10B$11.4B20.7B6.A54.4B20.9B$11.3B21.7B4.3A55.4B19.8B$9.2AB19.B4.7B
2.A11.A47.4B18.8B.2B$8.A.AB18.A2B.B.6B3.2A8.3A15.A32.4B17.13B$8.A20.A
.A15B7.A18.3A29.4B18.13B$7.2A21.AB.12B5.B3.2A20.A11.A17.2B.B17.14B$
33.13B2.8B19.2A9.3A19.3B15.14B$33.21B21.B9.A21.4B14.4B2.10B$34.20B19.
3B9.2A10.2A8.5B12.4B2.11B.B$36.19B16.6B5.5B10.A8.6B11.4B.14B2A$36.21B
11.10B3.4B9.BA.A8.8B2.26B2A$35.25B2.2B3.11B2.6B4.3B.B2A8.38B$34.4B4.
30B2A13B.7B11.37B$33.4B6.6B.22B2A21B12.7B.24B$32.4B5.5B.B2.44B12.31B
2A$31.4B6.2A7.45B11.19B2.2B2.6B2AB.B$30.4B8.A8.46B8.17B11.8B2A$29.4B
6.3A16.4B.13B3.B.19B2.2B.15B15.4B.B2A$28.4B7.A19.4B4.B.7B7.36B17.2B3.
B$27.4B29.4B19.6B.20B.8B16.2B$26.4B31.4B16.5B.B2.16B2A2B3.8B13.B2AB$
25.4B33.4B15.2A7.16B2A2B5.B3.2A14.2A$24.4B35.4B15.A8.18B10.A$24.3B37.
4B11.3A16.4B.3B.B12.3A$22.2AB40.4B10.A19.4B19.A$21.A.AB41.4B30.4B$21.
A45.4B30.4B$20.2A46.4B30.4B$69.4B30.4B$70.4B30.4B$71.4B30.4B$72.4B30.
4B$73.4B30.4B$74.4B30.4B$75.4B30.4B$76.4B30.4B$77.4B30.4B$78.4B31.2A$
79.3B31.A$80.4B30.3A$82.2A32.A$82.A$83.3A$85.A!

On the other side, I would like to use Matthias' MWSS-to-G converter. Does anyone have a synthesis for this 14-bit still life or (even better) a Blockic seed?

Code: Select all

x = 15, y = 10, rule = B3/S23
b5o$o4bo6b2o$5bo6b2o$o3bo$2bo$9b2o$9bobo$7bobob3o$7b2o5bo$13b2o

Posted: **August 23rd, 2013, 4:35 pm**

I remember somebody (I think it was Sokwe) posted a synthesis of a variant elsewhere. I'll see if I can find it.

EDIT: No, it was knightlife who posted this:

Code: Select all

x = 115, y = 60, rule = B3/S23
112bo$100bobo8bo$100b2o9b3o$101bo25$2bo$o3bo$5bo$o4bo$b5o8$56b2o$57b2o
$56bo2$110bo$100b3o6b2o$100bo8bobo$101bo7$112b2o$112bobo$112bo$61b3o$
63bo$62bo!

The MWSS is not involved in the synthesis. What we need to get is this:

Code: Select all

x = 15, y = 8, rule = B3/S23
2o$b2obobo$o3b2o$5bo7b2o$14bo$4b3o4b3o$4bo6bo$5bo!

Posted: **August 23rd, 2013, 5:16 pm**

That synthesis works for the MWSS-to-glider and pi-to-r converters but not for F116 unfortunately.

Posted: **August 23rd, 2013, 5:18 pm**

Oh, so that's what the context was. I see. I'll see what I can find.

EDIT: One extra glider does it:

Code: Select all

x = 21, y = 10, rule = LifeHistory
A$.2A$2A4.2A$7.2A.A.A$6.A3.2A$11.A7.2A$20.A$10.3A4.3A$10.A6.A$11.A!

This is already known.

Posted: **August 23rd, 2013, 6:14 pm**

The tub-with-tail variant is fine, since I only require the MWSS-to-G rather than the F116. Anyway, I think that there's a recipe on pentadecathlon.com for replacing the tub-with-tail with a fishhook.

Posted: **August 24th, 2013, 3:56 pm**

Right two gliders synchronized:

Code: Select all

x = 124, y = 83, rule = LifeHistory
89.2A$85.2A2.2A$85.2A4$77.2A$77.2A5$103.2A$103.2A$67.2D27.2A$68.2D.D.
D22.2A14.2A$67.D3.2D39.2A$72.D7.2A$81.A$71.3D4.3A$71.D6.A$72.D9$92.2A
$92.2A3$104.2A16.2A$92.2A10.2A15.2A$92.2A29.A44$.A$.2A$A.A!

Or does the eater need to be blockicized as well?

EDIT: Full synchronization:

Code: Select all

x = 154, y = 152, rule = LifeHistory
98.2A$94.2A2.2A$94.2A4$86.2A$86.2A5$112.2A$112.2A$76.2D27.2A$77.2D.D.
D22.2A14.2A$76.D3.2D39.2A$81.D7.2A$90.A$80.3D4.3A$80.D6.A$81.D9$101.
2A$101.2A3$113.2A$101.2A10.2A$101.2A20$143.2A$143.2A3$152.2A$152.2A5$
13.2A4.2A$13.2A4.2A2$149.2A$149.2A7$15.2A$15.2A8$2A$2A3$6.2A$6.2A33$
90.2A$90.2A6$92.2A$92.2A8$89.2A$89.2A8$70.A$70.2A$69.A.A!

The four pieces can be moved diagonally, as long as the final result remains a rectangle. For example, the minimal size for this arrangement:

Code: Select all

x = 72, y = 70, rule = B3/S23
43b2o$39b2o2b2o$39b2o4$31b2o$31b2o4$13b2o4b2o$13b2o4b2o36b2o$57b2o$50b
2o$50b2o14b2o$66b2o$34b2o$35bo$32b3o$32bo2$15b2o$15b2o6$61b2o$46b2o13b
2o$2o44b2o$2o$70b2o$58b2o10b2o$6b2o38b2o10b2o$6b2o38b2o6$63b2o2b2o$63b
2o2b2o6$65b2o$65b2o8$62b2o$62b2o8$43bo$43b2o$42bobo!

Posted: **August 25th, 2013, 5:08 am**

That's perfect, thank you. I just needed `slow glider-pair constructible in all eight orientations', which is certainly the case for your Blockic + eater seed. And it's also trivial to add the final block afterwards, by use of slow block-pulling reactions.

(I now need to transfer synthesise-pattern2.py to my laptop, and neaten it up somewhat.)

Posted: **August 25th, 2013, 2:28 pm**

By the way, the snake would work too. I don't know though if it is easier to build it with the SUCC than the eater.

Code: Select all

x = 17, y = 10, rule = B3/S23
b5o$o4bo8b2o$5bo8b2o$o3bo$2bo$11b2o$11bobob2o$9bobob2obo$8bobo$9bo!

Here is the active site:

Code: Select all

.@@@@@.............
@....@........@@...
.....@........@@...
@...@..............
..@................
...........**...???
...........*.*.????
.........*.*.**????
........???????????
........???????????

Posted: **August 25th, 2013, 6:13 pm**

Eaters are easier since I already have the recipes from the Gemini.

(The original SUCC is horribly inelegant and cumbersome; I'm redesigning a replicator-metacell without an embedded universal computer.)

Posted: **August 26th, 2013, 12:26 pm**

calcyman wrote:(The original SUCC is horribly inelegant and cumbersome; I'm redesigning a replicator-metacell without an embedded universal computer.)

Yes, I wondered if you were plotting something like that... Seems like there might be a smaller Spartan H-to-MWSS; certainly there's one with a shorter recovery time.

I'll probably do a few quick Hersrch searches when I get a moment. Are there any design details I'd need to know about to build something useful?

Posted: **August 28th, 2013, 4:17 am**

dvgrn wrote:Seems like there might be a smaller Spartan H-to-MWSS; certainly there's one with a shorter recovery time.

Here's a Spartan H-to-MWSS with about the same size and bounding box, but it recovers in 664 ticks instead of 1450+:

Code: Select all

x = 179, y = 140, rule = LifeHistory
73.A$73.3A$76.A$75.2A$75.5B8.A$77.4B5.3A$75.7B3.A$74.9B2.2A$72.11B.3B
2.B$72.13B3.3B$59.A11.2A18B$57.3A11.2A18B7.2A$31.2A23.A15.B.18B6.A10.
2A7.2A$32.A23.2A17.18B2.BA.A11.A5.2B2AB$32.A.AB18.4B15.20B2.B2A12.A.A
B2.4B20.A$33.2AB.2A14.3B5.B.7B2.24B15.2AB.7B16.3A$35.2B2AB12.4B.13B2.
24B16.11B14.A$35.4B6.50B18.9B15.2A$35.6B3.50B2.B13.12B13.4B$36.6B2.
55B5.B.16B12.3B20.A$36.7B.22B2A55B10.4B.3B.B12.3A$35.31B2A26B2A26B4.
18B10.A$34.20B2.2B3.11B.21B2A27B2.16B2A2B5.B3.2A14.2A$33.18B11.10B2.
49B2.16B2A2B3.8B13.B2AB$33.16B16.6B3.50B.20B.8B16.2B$34.14B19.3B5.28B
2.2B3.44B17.2B3.B$33.16B20.B4.13B.7B2.4B12.22B2.2B.15B15.4B.B2A$31.2A
B.14B20.2A3.13B2.6B20.17B8.17B11.8B2A$30.A.AB.6B3.3B.B2A19.A5.11B3.3B
22.15B11.19B2.2B2.6B2AB.B$30.A4.6B7.BA.A15.3A8.9B4.B22.17B10.31B2A$
29.2A4.7B9.A15.A10.8B26.19B11.7B.24B$35.8B2.2A4.2A25.8B25.19B11.37B$
33.12BA.A32.6B26.10B.6B11.38B$33.11B3.A32.5B28.9B.6B12.8B2.26B2A$33.
5B2A4B3.2A33.3B28.7B4.4B13.6B11.4B.14B2A$33.5B2A3B71.8B3.B16.5B12.4B
2.11B.B$33.10B71.2B4.2A20.4B14.4B2.10B$33.9B78.A21.4B15.14B$33.9B79.
3A16.2AB.B17.14B$34.8B81.A15.A.AB19.13B$33.8B98.A22.13B$34.6B98.2A22.
8B.2B$28.2A4.6B122.8B$29.A4.6B122.8B$29.A.AB.7B121.10B$30.2AB2.6B120.
7B2.2A$32.8B120.8B2.A$32.8B119.8B4.3A$33.8B117.9B6.A$34.7B116.4B.6B$
35.6B7.2A106.12B$35.7B6.A106.12B$35.7B3.BA.A105.13B$35.8B2.B2A105.15B
$35.11B106.18B$35.11B105.20B$35.11B102.B.22B$36.11B99.26B$36.2B.7B
100.26B$35.11B99.27B$35.10B100.25B.B2A$33.12B100.24B2.BA.A$31.13B99.
2AB.21B6.A$30.17B95.A.AB.8B5.8B6.2A$31.17B94.A5.8B4.3B2.3B$29.16B2A2B
92.2A6.7B5.3B3.B2A$29.2A3.4B.6B2AB98.11B4.B2A3.BA.A$30.A5.B4.8B4.2A
90.11B6.A7.A$27.3A13.6B4.A91.11B7.3A4.2A$27.A14.7B.BA.A91.11B9.A$42.
6B2.B2A92.8B2.B2A$43.8B94.7B3.BA.A$43.8B94.7B6.A$42.8B95.6B7.2A$33.A
8.7B95.7B$33.3A6.6B95.8B$13.A22.A4.7B94.8B$13.3A19.2A4.7B93.9B$16.A
18.4B.8B92.4B.6B$15.2A20.11B91.4B.7B$15.4B17.12B90.4B2.6B$17.3B16.12B
89.4B3.6B$B.B.B.B.B.B.B.B.5B.B.B.B.B7.11B54.2A33.4B4.6B$31B4.9B56.B2A
B31.4B4.8B$31B.2B.10B55.4B30.4B6.8B$49B52.2B30.4B6.9B$51B49.3B2A27.4B
7.9B$52B46.5B2A26.4B8.10B$.B.B.B.B.B.B.B.B.B.B.B.29B45.8B11.2A12.4B9.
5B2A3B$24.28B45.6B5.2B6.A12.4B10.5B2A4B3.2A$24.26B.B2A41.9B.6B2.BA.A
11.4B11.11B3.A$24.24B3.BA.A12.A25.17B.B.B2A11.4B12.12BA.A$26.B.20B6.A
10.3A22.24B4.2A6.4B15.8B2.2A$29.19B6.2A8.A23.27B2.B2AB4.4B16.7B$33.8B
4.3B16.2A21.28B2.3B4.4B17.5B$34.6B4.4B14.4B19.31B2.B.B2.4B10.2A5.6B$
37.2B5.5B12.3B5.B.7B5.43B12.A6.6B$43.6B11.4B.13B5.4B.37B13.A.AB2.8B$
43.8B2.71B15.2AB2.9B$42.51B2.29B17.12B$43.50B4.8B2A16B18.12B$44.7B.
22B2A17B6.6B2A17B17.10B.B2A$43.31B2A16B8.23B19.8B2.BA.A$43.19B2.2B3.
19B2.B10.18B.B20.8B6.A$42.17B11.10B2.B3.2B15.15B24.8B5.2A$31.6B2.2B.
15B16.6B6.BA17.12B27.7B$27.B2.26B19.3B7.A.A17.12B23.11B$26.2AB.17B.8B
21.B8.2A19.11B21.12B$26.2A15B2A2B3.8B19.2A29.11B20.12B$27.2B.13B2A2B
5.B3.2A20.A31.10B19.11B$30.16B10.A18.3A33.B.B3.4B18.8B.4B$38.B.3B.B
12.3A15.A36.3B3.4B17.7B4.2A$59.A51.B2AB4.4B16.7B4.A$112.2A6.4B15.6B6.
3A$121.4B13.7B8.A$122.4B11.8B$103.A19.4B9.8B$103.3A12.B.3B.4B7.9B$
106.A10.21B.6B$105.2A3.B5.2B2A17B.7B$105.8B3.2B2A16B2.6B$107.8B.20B.
7B$107.38B$106.15B.2B2.19B$104.17B7.18B$102.18B7.19B3.B$102.2BA15B6.
4B2.15B.B2A$101.3BABA4B.7B6.4B2.18B2A$102.2B3A13B4.4B3.12B2A3B.B$101.
5BA14B2.4B5.11B2A2B$100.10B2.8B2.4B6.10B2.2B$99.4B11.6B.4B9.B.6B3.2B$
99.3B12.10B14.4B2.B2AB$97.4B14.8B14.B2A2B3.2A$97.2A16.7B16.2A$98.A17.
5B$95.3A20.3B$95.A21.3B$116.B2AB$117.2A!

No doubt there's something smaller and faster; I didn't spend much time trying different Spartan Herschel splitters.

EDIT 2/16/2016: This thread's content is thoroughly obsolete now -- see the new H-to-MWSS.

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