ConwayLife.com - A community for Conway's Game of Life and related cellular automata
Home  •  LifeWiki  •  Forums  •  Download Golly

H-to-G and H-to-Gn converter collection

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

Re: H-to-G and H-to-2G converter collection

Postby simeks » November 5th, 2016, 3:00 pm

dvgrn wrote here:
dvgrn wrote:... As a start, I'm working on fixing up the H-to-G collection -- have posted an annual October update.

Thanks for the update!
I noticed two H-to-Gs that I've posted are missing (originally posted here and here):

x = 130, y = 83, rule = LifeHistory
10.3D2.D3.D3.D3.5D4.D3.3D$9.D3.D.D3.D2.2D5.D5.2D2.D3.D$9.D5.D3.D3.D5.
D4.D.D6.D$10.3D2.D.D.D3.D5.D3.D2.D4.2D$13.D.D.D.D3.D5.D3.5D5.D$9.D3.D
.2D.2D3.D5.D6.D2.D3.D$10.3D2.D3.D2.3D4.D6.D3.3D4$10.3D2.D3.D8.3D2.5D
2.3D4.D41.D3.D.D3.D3.D3.5D.5D2.3D3.3D$9.D3.D.D3.D7.D3.D3.D3.D3.D2.2D
41.2D2.D.D3.D2.2D7.D3.D3.D3.D.D3.D$9.D5.D3.D11.D3.D7.D3.D41.D.D.D.D3.
D3.D6.D4.D3.D3.D.D2.2D$10.3D2.D.D.D.5D4.D4.D6.D4.D41.D2.2D.D.D.D3.D5.
D5.D4.4D.D.D.D$13.D.D.D.D9.D5.D5.D5.D41.D3.D.D.D.D3.D4.D6.D7.D.2D2.D$
9.D3.D.2D.2D8.D6.D4.D6.D41.D3.D.2D.2D3.D3.D7.D7.D.D3.D$10.3D2.D3.D7.
5D3.D3.5D2.3D40.D3.D.D3.D2.3D2.D7.D4.3D3.3D33$84.4B$85.4B$86.4B$87.4B
$88.4B$89.4B$90.4B$91.4B$15.2A75.4B5.2A$15.A71.A5.4B3.B2A2B$12.BA.A
71.3A4.4B3.4B$9.B.BA.A75.A4.10B$8.2A3BA75.2A3.B.9B$8.2AB.4B73.15B6.A$
9.B3.4B2.2A70.13B4.3A$11.6B2.A.A69.15B.A$10.9B2.A68.17B.A$8.12B.A.2A
63.19B2A$6.11B.2A.A.2A61.20BA$6.2BC8BAB.A65.2BC17B5A$5.3BCBC7B2A65.3B
CBC4B.7B.2B4.A$6.2B3C7B68.2B3C4B2.6B3.2A$5.5BC4B3.4A63.5BC4B2.6B4.A$
4.10B5.A2.A61.10B4.5B4.A.A$3.7B7.A3.2A60.4B11.5B5.2A$2.7B8.2A64.3B13.
B.3B$.7B73.4B13.3BA3B$7B74.2A15.A.A.A2.A$6B76.A13.3A.A.4A$5B74.3A13.A
5.A$4B75.A15.2A6.A$3B99.2A$2B$B!

I also noticed NW48T316 is incorrectly placed in the NE column.

Finally, I'd like to suggest this smaller form of SW8T86:

x = 69, y = 82, rule = LifeHistory
3$33.3D2.D3.D2.3D2.5D2.3D3.3D$32.D3.D.D3.D.D3.D3.D3.D3.D.D$32.D5.D3.D
.D3.D3.D3.D3.D.D$33.3D2.D.D.D2.3D4.D4.3D2.4D$36.D.D.D.D.D3.D3.D3.D3.D
.D3.D$32.D3.D.2D.2D.D3.D3.D3.D3.D.D3.D$33.3D2.D3.D2.3D4.D4.3D3.3D42$
30.A$30.3A12.B.3B.B$33.A10.10B$32.2A3.B5.2B2A9B$32.8B3.2B2A9B$34.8B.
13B$34.21B$33.15B.2B.3B$31.17B5.2A$29.18B6.A$29.2BC15B7.3A$28.3BCBC4B
.7B10.A$29.2B3C13B$28.5BC14B$27.20B$26.4B6.11B$26.3B6.4B2.5B$24.4B6.
4B3.6B$24.2A7.4B3.7B.2B$25.A6.4B4.B2A6B2A$22.3A6.4B4.BA2BA3B.B2A$22.A
7.4B5.BA2BAB4.B$29.4B8.2AB$28.4B10.2B$27.4B$26.4B$25.4B$24.4B$23.4B$
22.4B$21.4B!
simeks
 
Posts: 365
Joined: March 11th, 2015, 12:03 pm
Location: Sweden

Re: H-to-G and H-to-2G converter collection

Postby simeks » November 12th, 2016, 8:16 pm

It is possible to get an extra glider from the NW17T90 H-to-G:

x = 58, y = 80, rule = LifeHistory
11.D3.D.D3.D3.D3.5D.5D2.3D3.3D$11.2D2.D.D3.D2.2D7.D3.D3.D3.D.D3.D$11.
D.D.D.D3.D3.D6.D4.D3.D3.D.D2.2D$11.D2.2D.D.D.D3.D5.D5.D4.4D.D.D.D$11.
D3.D.D.D.D3.D4.D6.D7.D.2D2.D$11.D3.D.2D.2D3.D3.D7.D7.D.D3.D$11.D3.D.D
3.D2.3D2.D7.D4.3D3.3D4$12.3D2.D3.D3.D3.5D.5D3.D5.D4.3D$11.D3.D.D3.D2.
2D3.D7.D4.2D4.2D3.D3.D$11.D5.D3.D3.D3.D7.D5.D5.D3.D3.D$12.3D2.D.D.D3.
D4.3D4.D5.D5.D4.3D$15.D.D.D.D3.D7.D3.D5.D5.D3.D3.D$11.D3.D.2D.2D3.D3.
D3.D3.D5.D5.D3.D3.D$12.3D2.D3.D2.3D3.3D4.D4.3D3.3D3.3D17$6.4B$7.4B$8.
4B$9.4B$10.4B$11.4B$12.4B$13.4B$14.4B5.2A$9.A5.4B3.B2A2B$9.3A4.4B3.4B
$12.A4.10B$11.2A3.B.9B$11.15B6.A$13.13B4.3A$13.15B.A$12.17B.A$10.19B
2A$8.20BA$8.2BC17B5A$7.3BCBC4B.7B.2B4.A$8.2B3C12B3.2A$7.5BC12B4.A$6.
20B3.A.A$5.4B6.2B.7B5.2A$5.3B10.8B$3.4B12.6B$3.2A14.6B$4.A13.7B4.2A$.
3A13.9B2.A.A$.A14.10B2.A$15.12B2A$14.4B5.BA$13.4B6.B5A$12.4B5.A6.A$
11.4B6.5A$10.4B11.A$9.4B8.2A$8.4B9.2A$7.4B$6.4B$5.4B$4.4B$3.4B$2.4B$.
4B$4B!

EDIT:
New H-to-G, NW36T126:

x = 55, y = 68, rule = LifeHistory
8.D3.D.D3.D2.3D3.3D2.5D3.D4.3D3.3D$8.2D2.D.D3.D.D3.D.D7.D4.2D3.D3.D.D
$8.D.D.D.D3.D5.D.D7.D5.D7.D.D$8.D2.2D.D.D.D3.2D2.4D4.D5.D6.D2.4D$8.D
3.D.D.D.D5.D.D3.D3.D5.D5.D3.D3.D$8.D3.D.2D.2D.D3.D.D3.D3.D5.D4.D4.D3.
D$8.D3.D.D3.D2.3D3.3D4.D4.3D2.5D2.3D17$6.4B$7.4B$8.4B$9.4B$10.4B$11.
4B$12.4B$13.4B$14.4B8.2A$15.4B6.A2.A$16.4B2.BA2.A.A$17.4B.B4A.2A$18.
5B6.A$18.4B.B.4A$18.7BA$8.2A7.9B.2A$9.A5.9B4.A$9.A.AB.11B3.A.A$10.2AB
.12B3.2A$12.13B$12.13B$12.12B$13.12B$12.14B$12.14B$13.12B$13.12B$13.
11B$10.13B$9.14B$9.15B$9.15B$9.15B$7.17B$5.19B$5.2BC16B2.A$4.3BCBC4B.
9B.A.A$5.2B3C4B2.B.6B2.A$4.5BC4B5.5B$4.9B5.B2A2B$2.4B11.AB.A.B2A$2.2A
12.A.2A2.BA.A$3.A12.A8.A$3A12.2A8.2A$A!

EDIT2:
New H-to-G, NW16T124:

x = 65, y = 70, rule = LifeHistory
18.D3.D.D3.D3.D4.3D2.5D3.D4.3D5.D$18.2D2.D.D3.D2.2D3.D7.D4.2D3.D3.D3.
2D$18.D.D.D.D3.D3.D3.D7.D5.D7.D2.D.D$18.D2.2D.D.D.D3.D3.4D4.D5.D6.D2.
D2.D$18.D3.D.D.D.D3.D3.D3.D3.D5.D5.D3.5D$18.D3.D.2D.2D3.D3.D3.D3.D5.D
4.D7.D$18.D3.D.D3.D2.3D3.3D4.D4.3D2.5D4.D19$2B$3B$4B$.4B$2.4B$3.4B$4.
4B$5.4B$6.4B15.2A.2A.A$7.4B14.2A.A.2A$8.4B16.A$9.4B12.2A.AB4A$10.4B9.
A2.ABA.A2.A$11.4B8.2A2.A2B.2B$12.4B12.4B$13.4B10.6B$14.4B9.7B$15.4B8.
8B$16.4B5.10B$17.4B2.11B$18.17B$19.17B$20.16B$20.15B$20.15B$19.15B$
19.14B$19.14B$19.15B$20.14B$19.15B$17.17B$15.19B$15.2BC16B2.A$14.3BCB
C4B.9B.A.A$15.2B3C4B2.B.6B2.A$14.5BC4B5.5B$13.10B5.B2A2B$12.4B11.AB.A
.B2A$12.3B11.A.2A2.BA.A$10.4B12.A8.A$10.2A13.2A8.2A$11.A$8.3A$8.A!

EDIT3:
New H-to-G, NW36T128 (just two ticks away from the other NW36 above):

x = 55, y = 68, rule = LifeHistory
8.D3.D.D3.D2.3D3.3D2.5D3.D4.3D3.3D$8.2D2.D.D3.D.D3.D.D7.D4.2D3.D3.D.D
3.D$8.D.D.D.D3.D5.D.D7.D5.D7.D.D3.D$8.D2.2D.D.D.D3.2D2.4D4.D5.D6.D3.
3D$8.D3.D.D.D.D5.D.D3.D3.D5.D5.D3.D3.D$8.D3.D.2D.2D.D3.D.D3.D3.D5.D4.
D4.D3.D$8.D3.D.D3.D2.3D3.3D4.D4.3D2.5D2.3D15$4.4B$5.4B$6.4B$7.4B$8.4B
$9.4B$10.4B$11.4B$12.4B9.A$13.4B6.3A$14.4B4.A$15.4B3.2A$16.8B$17.5B$
18.5B2.2A$18.5B2.2A$18.5B$8.2A7.8B2A$9.A5.9B.A2.A$9.A.AB.10B3.2A$10.
2AB.11B$12.13B$12.13B$12.12B$13.12B$12.14B$12.14B$13.12B$13.12B$13.
11B$10.13B$9.14B$9.15B$9.15B$9.15B$7.17B$5.19B$5.2BC16B2.A$4.3BCBC4B.
9B.A.A$5.2B3C4B2.B.6B2.A$4.5BC4B5.5B$4.9B5.B2A2B$2.4B11.AB.A.B2A$2.2A
12.A.2A2.BA.A$3.A12.A8.A$3A12.2A8.2A$A!

EDIT4:
New H-to-G, NE34T49:

x = 51, y = 68, rule = LifeHistory
10.D3.D.5D2.3D5.D2.5D4.D3.3D$10.2D2.D.D5.D3.D3.2D4.D5.2D2.D3.D$10.D.D
.D.D9.D2.D.D4.D4.D.D2.D3.D$10.D2.2D.3D5.2D2.D2.D4.D3.D2.D3.4D$10.D3.D
.D9.D.5D3.D3.5D5.D$10.D3.D.D5.D3.D4.D4.D6.D6.D$10.D3.D.5D2.3D5.D4.D6.
D3.3D22$24.2A$24.A$21.A4.A2.2A$21.5A.A2.A$7.2A16.B.2A.A.2A$8.A10.4AB
3AB2.A2.A$8.A.AB7.A2.A.A3B2A.A$9.2AB.3B4.7B2.A.2A$11.7B3.7B.A$11.16B.
2A$12.15B$11.16B$9.18B$7.19B$7.2BC15B3.2A$6.3BCBC4B.7B5.A$7.2B3C4B2.
7B4.A.2A$6.5BC4B2.8B4.A.A8.B$5.10B4.7B5.B8.2B$4.4B10.8B2.B.3B6.3B$4.
3B11.8B.7B4.4B$2.4B12.17B2.4B$2.2A14.22B$3.A13.22B$3A15.20B$A17.19B$
19.17B$20.15B$24.10B$24.9B$23.9B$24.7B$25.5B$25.5B$26.3B$26.5B$29.2A$
29.A$30.3A$32.A!

EDIT5:
New H-to-G, SW28T174:

x = 58, y = 85, rule = LifeHistory
12.3D2.D3.D2.3D3.3D2.5D3.D3.5D4.D$11.D3.D.D3.D.D3.D.D3.D3.D4.2D7.D3.
2D$11.D5.D3.D5.D.D3.D3.D5.D6.D3.D.D$12.3D2.D.D.D4.D3.3D4.D5.D5.D3.D2.
D$15.D.D.D.D3.D3.D3.D3.D5.D4.D4.5D$11.D3.D.2D.2D2.D4.D3.D3.D5.D3.D8.D
$12.3D2.D3.D.5D2.3D4.D4.3D2.D8.D4$12.3D2.D3.D8.3D2.5D2.3D4.D$11.D3.D.
D3.D7.D3.D3.D3.D3.D2.2D$11.D5.D3.D11.D3.D7.D3.D$12.3D2.D.D.D.5D4.D4.D
6.D4.D$15.D.D.D.D9.D5.D5.D5.D$11.D3.D.2D.2D8.D6.D4.D6.D$12.3D2.D3.D7.
5D3.D3.5D2.3D22$25.2A$25.A$22.A4.A2.2A$22.5A.A2.A$8.2A16.B.2A.A.2A$9.
A10.4AB3AB2.A2.A$9.A.AB7.A2.A.A3B2A.A$10.2AB.3B4.7B2.A.2A$12.7B3.7B.A
$12.16B.2A$13.15B$12.16B$10.18B$8.19B$8.2BC15B3.2A$7.3BCBC4B.7B5.A$8.
2B3C4B2.7B4.A.2A$7.5BC4B2.8B4.A.A$6.10B4.7B5.B$5.4B10.8B2.B.3B$4.4B
11.16B$3.4B12.17B$2.4B13.18B$.4B13.20B$4B15.19B$3B16.19B$2B18.17B$B
20.11B$25.6B$25.6B$24.7B$23.10B$22.4B.4B2A$21.4B4.2BAB2.2A$20.4B5.A.A
.A2.A$19.4B4.3A.A.2A$18.4B4.A3.A.A$17.4B5.2A2.A.A$16.4B11.A$15.4B$14.
4B$13.4B$12.4B$11.4B$10.4B$9.4B$8.4B!

EDIT6:
New H-to-G, SW15T116:

x = 58, y = 80, rule = LifeHistory
12.3D2.D3.D3.D3.5D.5D3.D5.D4.3D$11.D3.D.D3.D2.2D3.D7.D4.2D4.2D3.D$11.
D5.D3.D3.D3.D7.D5.D5.D3.D$12.3D2.D.D.D3.D4.3D4.D5.D5.D3.4D$15.D.D.D.D
3.D7.D3.D5.D5.D3.D3.D$11.D3.D.2D.2D3.D3.D3.D3.D5.D5.D3.D3.D$12.3D2.D
3.D2.3D3.3D4.D4.3D3.3D3.3D4$12.3D2.D3.D8.3D2.5D2.3D4.D$11.D3.D.D3.D7.
D3.D3.D3.D3.D2.2D$11.D5.D3.D11.D3.D7.D3.D$12.3D2.D.D.D.5D4.D4.D6.D4.D
$15.D.D.D.D9.D5.D5.D5.D$11.D3.D.2D.2D8.D6.D4.D6.D$12.3D2.D3.D7.5D3.D
3.5D2.3D22$25.2A$25.A$22.A4.A2.2A$22.5A.A2.A$8.2A16.B.2A.A.2A$9.A10.
4AB3AB2.A2.A$9.A.AB7.A2.A.A3B2A.A$10.2AB.3B4.7B2.A.2A$12.7B3.7B.A$12.
16B.2A$13.15B$12.16B$10.18B$8.19B$8.2BC15B4.2A$7.3BCBC4B.7B5.A$8.2B3C
4B2.7B.BA.A$7.5BC4B2.7B.B2A$6.10B4.8B$5.4B10.9B$4.4B11.8B$3.4B12.7B$
2.4B13.7B$.4B13.8B$4B13.9B$3B13.8B$2B13.9B$B13.4B.4B$13.4B2.2B2AB$12.
4B5.A.BA$11.4B4.A.A.2A$10.4B3.3A.A$9.4B3.A4.A$8.4B4.2A3.2A$7.4B$6.4B$
5.4B$4.4B$3.4B$2.4B$.4B$4B!

EDIT 7:
New H-to-G, NW2T196:

x = 59, y = 69, rule = LifeHistory
18.D3.D.D3.D2.3D2.5D3.D4.3D3.3D$18.2D2.D.D3.D.D3.D3.D4.2D3.D3.D.D$18.
D.D.D.D3.D5.D3.D5.D3.D3.D.D$18.D2.2D.D.D.D4.D4.D5.D4.4D.4D$18.D3.D.D.
D.D3.D5.D5.D7.D.D3.D$18.D3.D.2D.2D2.D6.D5.D7.D.D3.D$18.D3.D.D3.D.5D3.
D4.3D3.3D3.3D16$B$2B$3B$4B$.4B$2.4B$3.4B25.2A$4.4B24.A$5.4B20.A4.A2.
2A$6.4B19.5A.A2.A$7.4B4.2A16.B.2A.A.2A$8.4B4.A10.4AB3AB2.A2.A$9.4B3.A
.AB7.A2.A.A3B2A.A$10.4B3.2AB.3B4.7B2.A.2A$11.4B4.7B3.7B.A$12.4B3.16B.
2A$13.4B3.15B$14.4B.16B$15.20B$15.19B$15.2BC15B$14.3BCBC4B.7B$15.2B3C
4B2.7B$14.5BC4B2.8B$13.12B2.7B$12.4B6.12B$12.3B8.11B4.B$10.4B10.12B.
3B.2B$10.2A13.18B8.2A$11.A13.19B7.A$8.3A15.18B4.BA.A$8.A17.21B.B2A$
27.18B2A2B$28.11B3.B.BA.AB$31.8B7.2A$29.10B$28.11B.B$28.13BA$30.10BA.
A$30.9B.BA$31.8B$31.8B$32.6B$33.3B.B2A$37.BA.A$40.A$40.2A!

EDIT 8:
New H-to-G, NW1T192:

x = 59, y = 74, rule = LifeHistory
18.D3.D.D3.D3.D3.5D3.D4.3D3.3D$18.2D2.D.D3.D2.2D5.D4.2D3.D3.D.D3.D$
18.D.D.D.D3.D3.D5.D5.D3.D3.D5.D$18.D2.2D.D.D.D3.D5.D5.D4.4D4.D$18.D3.
D.D.D.D3.D5.D5.D7.D3.D$18.D3.D.2D.2D3.D5.D5.D7.D2.D$18.D3.D.D3.D2.3D
4.D4.3D3.3D2.5D17$B$2B$3B$4B$.4B$2.4B26.2A$3.4B25.A$4.4B21.A4.A2.2A$
5.4B20.5A.A2.A$6.4B5.2A16.B.2A.A.2A$7.4B5.A10.4AB3AB2.A2.A$8.4B4.A.AB
7.A2.A.A3B2A.A$9.4B4.2AB.3B4.7B2.A.2A$10.4B5.7B3.7B.A$11.4B4.16B.2A$
12.4B4.15B$13.4B2.16B$14.21B$15.19B$15.2BC15B$14.3BCBC4B.7B$15.2B3C4B
2.7B9.2A$14.5BC4B2.8B8.A5.A$13.11B3.7B9.3A.A.A$12.4B5.4B.8B11.A.A.A$
12.3B7.12B4.B.B5.B.A$10.4B9.13B.6B2.2B$10.2A12.21B2AB$11.A13.20B2AB$
8.3A15.22B$8.A17.21B$27.20B$28.19B$30.16B$31.14B$32.12B$32.10B$33.11B
$33.6B.B.2A$32.7B3.A$33.2A5B3.3A$33.2A4B6.A$34.4B$33.4B$33.BA2.A$33.B
4A$31.A$31.5A$35.A$31.2A$31.2A!

EDIT9:
The SW28T174 H-to-G above works as an XOR device. Earlier known stable XOR-devices are here:

x = 216, y = 39, rule = LifeHistory
24.2A27.D50.2A27.C50.2A27.C$24.A28.D.D48.A28.C.C48.A28.C.C$21.A4.A2.
2A22.2D46.A4.A2.2A22.2C46.A4.A2.2A22.2C$21.5A.A2.A70.5A.A2.A70.5A.A2.
A$7.2A18.2A.A.2A53.2A18.2A.A.2A53.2A18.2A.A.2A$8.A10.4A.3A3.A2.A54.A
10.4A.3A3.A2.A54.A10.4A.3A3.A2.A$8.A.A8.A2.A.A3.2A.A56.A.A8.A2.A.A3.
2A.A56.A.A8.A2.A.A3.2A.A$9.2A18.A.2A56.2A18.A.2A56.2A18.A.2A$29.A79.A
79.A$28.2A78.2A78.2A5$9.C18.2A59.D18.2A59.C18.2A$9.C.C17.A59.D.D17.A
59.C.C17.A$9.3C17.A.2A56.3D17.A.2A56.3C17.A.2A$11.C18.A.A58.D18.A.A
58.C18.A.A5$2.2A78.2A78.2A$3.A79.A79.A$3A77.3A77.3A$A79.A79.A7$30.2A
78.2A78.2A$30.A3.2A74.A3.2A74.A3.2A$28.A.A.A2.A72.A.A.A2.A72.A.A.A2.A
$26.3A.A.2A72.3A.A.2A72.3A.A.2A$25.A3.A.A73.A3.A.A73.A3.A.A$25.2A2.A.
A73.2A2.A.A73.2A2.A.A$30.A79.A79.A!

EDIT 10:
New H-to-G, NE37T12:

x = 51, y = 69, rule = LifeHistory
10.D3.D.5D2.3D2.5D.5D3.D4.3D$10.2D2.D.D5.D3.D5.D3.D4.2D3.D3.D$10.D.D.
D.D9.D4.D4.D5.D7.D$10.D2.2D.3D5.2D4.D5.D5.D6.D$10.D3.D.D9.D2.D6.D5.D
5.D$10.D3.D.D5.D3.D.D7.D5.D4.D$10.D3.D.5D2.3D2.D7.D4.3D2.5D26$8.A10.
2A$8.3A9.A$11.A8.A.2A$10.2A3.B5.A.A$10.8B4.B$12.8B.3B$12.13B$11.14B.B
$9.18B2A$7.18B.B2A$7.2BC15B.B$6.3BCBC4B.7B$7.2B3C12B21.B$6.5BC12B20.
2B$5.19B19.3B$4.4B7.10B17.4B$4.3B8.10B4.3B9.4B$2.4B11.9B3.4B3.2B3.4B$
2.2A13.16B.11B$3.A14.28B$3A15.28B$A18.27B$19.26B$19.25B$19.24B$18.4B
2.15B$19.4B2.14B$19.2B2AB.10B$21.2A2.7B$26.4B$27.3B$26.B2ABA$26.A.A.
3A$24.3A.A4.A$23.A4.2A.A.A$24.3A2.A.2A$26.2A!

EDIT 11:
New H-to-G, SE10T29:

x = 54, y = 77, rule = LifeHistory
11.3D2.5D3.D4.3D2.5D2.3D3.3D$10.D3.D.D6.2D3.D3.D3.D3.D3.D.D3.D$10.D5.
D7.D3.D2.2D3.D7.D.D3.D$11.3D2.3D5.D3.D.D.D3.D6.D3.4D$14.D.D7.D3.2D2.D
3.D5.D7.D$10.D3.D.D7.D3.D3.D3.D4.D8.D$11.3D2.5D2.3D3.3D4.D3.5D2.3D26$
8.A10.2A$8.3A9.A$11.A8.A.2A$10.2A3.B5.A.A$10.8B4.B$12.8B.3B$12.13B$
11.14B.B$9.18B2A$7.18B.B2A$7.2BC15B.B$6.3BCBC4B.7B$7.2B3C12B$6.5BC12B
$5.19B$4.4B7.10B$4.3B8.10B4.3B$2.4B11.9B3.4B$2.2A13.16B.B$3.A14.21B.
2A$3A15.22BA.A.2A$A18.20B3.A.2A$19.21B2.A$19.21B3A$19.20BAB$18.4B2.
16B3A$19.4B2.12B5.A$19.2B2AB.12B5.A.A$21.2A2.7B2.4B5.2A$26.4B5.4B$27.
3B6.4B$26.B2ABA6.4B$26.A.A.3A5.4B$24.3A.A4.A5.4B$23.A4.2A.A.A6.4B$24.
3A2.A.2A8.4B$26.2A14.4B$43.4B$44.4B$45.4B$46.4B$47.4B$48.4B$49.4B$50.
4B!

EDIT 12:
As noticed by AbhpzTa in the following post, the BTS catalyst in "EDIT 10" and "EDIT 11" is equivalent to a block, updated those patterns.
Last edited by simeks on December 21st, 2016, 2:45 pm, edited 2 times in total.
simeks
 
Posts: 365
Joined: March 11th, 2015, 12:03 pm
Location: Sweden

Re: H-to-G and H-to-2G converter collection

Postby AbhpzTa » December 21st, 2016, 2:26 pm

SE10T19:
x = 41, y = 45, rule = LifeHistory
.3D2.5D3.D4.3D2.5D3.D4.3D$D3.D.D6.2D3.D3.D3.D4.2D3.D3.D$D5.D7.D3.D2.
2D3.D5.D3.D3.D$.3D2.3D5.D3.D.D.D3.D5.D4.4D$4.D.D7.D3.2D2.D3.D5.D7.D$D
3.D.D7.D3.D3.D3.D5.D7.D$.3D2.5D2.3D3.3D4.D4.3D3.3D5$8.A10.2A$8.3A9.A$
11.A8.A.2A$10.2A3.B5.A.A$10.8B4.B$12.8B.3B$12.13B$11.14B.2B$9.18B2A$
7.18B.B2A$7.2BC15B2.B$6.3BCBC4B.7B$7.2B3C12B$6.5BC12B10.2A$5.19B.3B6.
A$4.4B7.15B.BA.A$4.3B8.15B.B2A$2.4B11.15B$2.2A13.15B$3.A14.14B$3A15.
13B$A18.11B$18.14B$19.14B$19.15B$18.17B$16.A.2AB.8B2.4B$14.3AB2AB.6B
5.4B$13.A4.B6.5B4.4B$14.3A.2A8.2A5.4B$16.A.A9.A7.4B$16.A.A10.3A5.3B$
17.A13.A6.2B$39.B!

SE-1T41:
x = 40, y = 47, rule = LifeHistory
.3D2.5D9.D3.5D4.D4.D$D3.D.D12.2D5.D5.2D3.2D$D5.D13.D5.D4.D.D4.D$.3D2.
3D3.5D3.D5.D3.D2.D4.D$4.D.D13.D5.D3.5D3.D$D3.D.D13.D5.D6.D4.D$.3D2.5D
8.3D4.D6.D3.3D5$8.A10.2A$8.3A9.A$11.A8.A.2A$10.2A3.B5.A.A$10.8B4.B$
12.8B.3B$12.13B$11.14B.2B$9.18B2A$7.18B.B2A$7.2BC15B2.B$6.3BCBC4B.7B$
7.2B3C12B$6.5BC12B$5.19B$4.4B7.10B8.2A$4.3B8.11B7.A$2.4B11.12B.BA.A$
2.2A13.12B.B2A$3.A14.13B$3A15.13B$A18.12B$18.12B$19.12B$19.12B$18.13B
$16.A.2AB.7B.B2A$14.3AB2AB.7B.BA.A$13.A4.B5.4B5.A$14.3A.2A4.4B5.2A$
16.2A2.A4.4B$19.2A5.4B$27.4B$28.4B$29.4B$30.4B!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
AbhpzTa
 
Posts: 442
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

Re: H-to-G and H-to-2G converter collection

Postby A for awesome » June 13th, 2017, 3:45 pm

A P-2G that technically involves a transparent beehive:
x = 35, y = 39, rule = LifeHistory
17.2A6.4B$16.B2AB4.4B$17.2B4.4B$16.2B4.4B$14.6B.4B$13.11B$13.10B$13.
9B$13.8B$12.10B$12.9B5.2A$13.9B.2BA.AB$13.12B2A2B$12.15B.B2A$11.13B4.
BA.A$11.12B8.A$11.11B9.2A$10.13B$10.2BA11B$8.3BABA11B5.2A$7.4BABA13B.
A2.A$7.5BA15B2A2.2A$6.21B3.2A2.A$7.21B2A3.2A$7.18B.BA.A$7.19B.BA$6.
19B$5.20B$4.21B$4.22B$4.21B$4.6B3C10B$4.6BCBC9B$2.2A6BCBC8B$.A.A18B$.
A4.3B.13B$2A5.B4.12B$12.6B3.4B$14.4B4.4B!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce
User avatar
A for awesome
 
Posts: 1661
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

Re: H-to-G and H-to-2G converter collection

Postby calcyman » June 13th, 2017, 6:09 pm

A for awesome wrote:A P-2G that technically involves a transparent beehive:


Ooh, a beehive keeper -- quite possibly the first compact stable one!
What do you do with ill crystallographers? Take them to the mono-clinic!
User avatar
calcyman
 
Posts: 1775
Joined: June 1st, 2009, 4:32 pm

Re: H-to-G and H-to-2G converter collection

Postby dvgrn » June 13th, 2017, 7:05 pm

calcyman wrote:
A for awesome wrote:A P-2G that technically involves a transparent beehive:

Ooh, a beehive keeper -- quite possibly the first compact stable one!

Nice! Somewhat along the lines of this memory-cell request, the beehive can store a bit of memory. It's not toggleable like a boat-bit or semi-Snark, but it can be SET any number of times before a READ signal comes along, without any extra circuitry needed -- unlike the bistable switch needed here, for example.

x = 66, y = 40, rule = LifeHistory
42.2A$42.A.A$44.A4.A$43.A.2A2.3A$43.A2.A5.A$41.2A.A6.2A$40.A.A.2A5.4B
10.B$40.BAB.B8.B2A8.2B$25.A15.5B6.BA.A7.3B$25.3A8.B3.B.4B6.B2A7.BA2B$
27.BA6.12B5.3B6.3AB$9.4B14.2AB5.13B3.4B5.A3B$10.4B7.2A4.4B3.15B.4B5.B
2AB$11.B2AB5.B2AB4.4B.22B.B.4B$12.BA2B5.3B5.32B$13.ABAB3.B.B6.33B2.B$
14.2A2B.6B4.33B.B2A$15.10B2.37B2A$7.2A7.47B.B$8.A8.45B$8.A.AB6.44B$9.
2AB.3B2.27B2A14B$11.21B3D9BA2BA5B2.2B$11.23BD10B2A5B$12.20B3D14B$11.
36B2.3C$9.38B2.C$7.19B3.17B4.C$7.2BC15B5.10B3.B$6.3BCBC4B.7B7.8B14.3C
$7.2B3C4B2.6B7.7B15.C$6.5BC4B3.6B6.2A21.C$5.10B6.4B7.A$4.4B12.B2A2B4.
3A$4.3B14.2A.B2A2.A$2.4B18.BA.A.A$2.2A23.A.A.2A$3.A23.A.A.2A$3A25.A$A!

Also, prepending the usual H-to-pi gives us a rare NE output glider on a new lane, NE33T141 -- always good to have more of those, especially when the optional standard NW19T102 and NW36T325 outputs are also available.
User avatar
dvgrn
Moderator
 
Posts: 4988
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI

Re: H-to-G and H-to-2G converter collection

Postby Kazyan » July 20th, 2017, 11:49 pm

This appears to be a new timing:

x = 38, y = 33, rule = LifeHistory
22.A$22.3A.A$25.2A$19.A2.2A$19.4A.5A$24.B4.A$19.5ABABA.A$19.A2.A.2A.
2A$11.2A7.6B$12.A8.5B$12.A.AB3.7B$13.2AB.8B$15.12B$7.2A6.13B$8.A6.13B
8.2A$8.A.AB5.11B8.A$9.2AB.3B2.11B4.BA.A$11.21B.B2A$11.19B2A2B$12.18BA
.AB$11.15B5.2A$9.17B$7.19B$7.2BC15B$6.3BCBC12B$7.2B3C4B2.6B$6.5BC4B3.
6B$5.10B6.4B$4.4B.4B7.B2A2B$3.4B.4B9.2A.B2A$2.4B.4B13.BA.A$.4B.4B17.A
$4B.4B18.2A!
Tanner Jacobi
User avatar
Kazyan
 
Posts: 771
Joined: February 6th, 2014, 11:02 pm

Re: H-to-G and H-to-2G converter collection

Postby dvgrn » July 21st, 2017, 8:46 am

Kazyan wrote:This appears to be a new timing...

Yup, SW3T118 is a new one I think. After Golly 3.0 comes out I'll have to get back to fixing up the H-to-G collection and put out a new version. (I had been hoping somebody else might want to take over that maintenance task...)

x = 44, y = 64, rule = LifeHistory
4.3D2.D3.D2.3D2.5D3.D5.D4.3D$3.D3.D.D3.D.D3.D3.D4.2D4.2D3.D3.D$3.D5.D
3.D5.D3.D5.D5.D3.D3.D$4.3D2.D.D.D3.2D4.D5.D5.D4.3D$7.D.D.D.D5.D3.D5.D
5.D3.D3.D$3.D3.D.2D.2D.D3.D3.D5.D5.D3.D3.D$4.3D2.D3.D2.3D4.D4.3D3.3D
3.3D4$4.3D2.D3.D8.3D2.5D2.3D4.D$3.D3.D.D3.D7.D3.D3.D3.D3.D2.2D$3.D5.D
3.D11.D3.D7.D3.D$4.3D2.D.D.D.5D4.D4.D6.D4.D$7.D.D.D.D9.D5.D5.D5.D$3.D
3.D.2D.2D8.D6.D4.D6.D$4.3D2.D3.D7.5D3.D3.5D2.3D7$23.A$23.3A.A$26.2A$
20.A2.2A$20.4A.5A$25.B4.A$20.5ABABA.A$20.A2.A.2A.2A$12.2A7.6B$13.A8.
5B$13.A.AB3.7B$14.2AB.8B$16.12B$8.2A6.13B$9.A6.13B8.2A$9.A.AB5.11B8.A
$10.2AB.3B2.11B4.BA.A$12.21B.B2A$12.19B2A2B$13.18BA.AB$12.15B5.2A$10.
17B$8.19B$8.2BC15B$7.3BCBC12B$8.2B3C4B2.6B$7.5BC4B3.6B$6.10B6.4B$5.4B
.4B7.B2A2B$4.4B.4B9.2A.B2A$3.4B.4B13.BA.A$2.4B.4B17.A$.4B.4B18.2A$4B.
4B$3B.4B$2B.4B$B.4B$.4B$4B$3B$2B!

This is a G5 output that comes really close to being a perfect ambidextrous transmitter for the old G5 receiver -- three ticks too fast. So I guess I was looking for SW3T121:

x = 151, y = 79, rule = LifeHistory
65.A69.A$65.3A.A65.3A.A$68.2A68.2A$62.A2.2A65.A2.2A$62.4A.5A60.4A.5A$
67.B4.A64.B4.A$62.5ABABA.A59.5ABABA.A$62.A2.A.2A.2A60.A2.A.2A.2A$54.
2A7.6B55.2A7.6B$55.A8.5B56.A8.5B$55.A.AB3.7B56.A.AB3.7B$56.2AB.8B58.
2AB.8B$58.12B58.12B$50.2A6.13B49.2A6.13B$51.A6.13B8.2A40.A6.13B8.2A$
51.A.AB5.11B8.A41.A.AB5.11B8.A$52.2AB.3B2.11B4.BA.A42.2AB.3B2.11B4.BA
.A$54.21B.B2A45.21B.B2A$54.19B2A2B47.19B2A2B$55.18BA.AB48.18BA.AB$54.
15B5.2A48.15B5.2A$52.17B53.17B$50.19B51.19B$50.2BC15B52.2BC15B$49.3BC
BC12B52.3BCBC12B$50.2B3C4B2.6B53.2B3C4B2.6B$49.5BC4B3.6B51.5BC4B3.6B$
48.10B6.4B50.10B6.4B$47.4B.4B7.B2A2B49.4B.4B7.B2A2B$64.2A.B2A46.4B14.
2A.B2A$67.BA.A44.4B18.BA.A$70.A43.4B22.A$70.2A41.4B23.2A$112.4B$111.
4B7$96.2A$33.4B.4B53.B2AB4.B$22.2B.B6.4B.4B55.3B3.4B.4B$22.5B4.4B.4B
55.B.B3.4B.4B$20.7B3.4B.4B55.10B.4B$17.B.9B.4B.4B54.11B.4B$16.2AB.7B.
4B.4B54.11B.4B$16.2A13B.4B53.12B.4B$12.A4.2B.10B.4B53.12B.4B$12.3A5.
9B.4B53.9B2D6B$15.A3.15B51.10BD2BD4B.B$14.2A.10BA6B.2B47.12B2D9B$14.
12BABA7B2A45.6B2A17B$16.10BABA5B.B2A43.8B2A16B$15.12BA7B.B35.2A7.27B$
14.B.18B39.A6.28B$13.20B40.A.AB.28B$13.20B41.2AB.28B$14.18B44.24B2.B.
B$14.10B2A5B45.23B2.3B$13.11B2A5B45.23B2.B2AB$11.19B47.21B4.2A$10.19B
49.16B.B.B2A$10.18B51.16B2.BA.A$9.19B51.11B2.2B6.A$10.17B52.10B11.2A$
9.17B54.9B$8.17B56.7B$7.18B55.4B.B$6.4B.12B56.4B$5.4B3.10B56.4B$4.4B
7.7B55.4B$3.4B9.4B56.4B$2.4B11.5B53.4B$.4B15.2A52.4B$4B16.A53.3B$21.
3A50.2B$23.A50.B!

But really I should probably just forget about glider-pair signals, or put all those clunky awkward transceivers and things into a separate Steampunk Life collection or something. They're kind of entertaining to build things with, but it doesn't seem as if they'll ever show up again in any quantity in (let's say) the smallest-guns collection.

One possible exception might be a loaf2GtoG attachment pointing NW, which might give a useful timing somehow in some situation or other. But it will generally have to shoot through the input conduit, so probably that belongs in Steampunk Life as well. Because of the order of the output gliders, the adjustable SE output isn't anything new:

x = 128, y = 73, rule = LifeHistory
76.3D2.5D8.3D3.3D2.5D3.D4.3D3.3D$75.D3.D.D11.D3.D.D7.D4.2D3.D3.D.D3.D
$75.D5.D15.D.D7.D5.D7.D.D3.D$76.3D2.3D3.5D4.D2.4D4.D5.D5.2D3.3D$79.D.
D13.D3.D3.D3.D5.D7.D.D3.D$75.D3.D.D12.D4.D3.D3.D5.D3.D3.D.D3.D$76.3D
2.5D7.5D2.3D4.D4.3D3.3D3.3D6$.3D2.5D8.3D3.3D2.5D3.D4.3D3.3D$D3.D.D11.
D3.D.D7.D4.2D3.D3.D.D3.D50.A$D5.D15.D.D7.D5.D7.D.D3.D50.3A.A$.3D2.3D
3.5D4.D2.4D4.D5.D5.2D3.3D54.2A$4.D.D13.D3.D3.D3.D5.D7.D.D3.D47.A2.2A$
D3.D.D12.D4.D3.D3.D5.D3.D3.D.D3.D47.4A.5A$.3D2.5D7.5D2.3D4.D4.3D3.3D
3.3D53.B4.A$100.5ABABA.A$100.A2.A.2A.2A$92.2A7.6B$93.A8.5B$93.A.AB3.
7B$48.A45.2AB.8B$46.3A47.12B$29.A15.A42.2A6.13B$29.3A13.2A4.2A36.A6.
13B8.2A$32.A9.5B4.A37.A.AB5.11B8.A$31.2A3.B4.4B3.BA.A38.2AB.3B2.11B4.
BA.A$31.8B.7B.B2A41.21B.B2A$33.16B43.19B2A2B$33.16B44.18BA.AB$32.17B
43.15B5.2A$30.18B42.17B$28.19B41.19B$28.2BD15B42.2BD15B$27.3BDBD13B
41.3BDBD12B$28.2B3D13B42.2B3D4B2.6B$27.5BD12B42.5BD4B3.6B$26.10B3.6B
41.10B6.4B$25.8B6.7B39.9B7.B2A2B$24.8B9.5B38.9B9.2A.B2A$23.8B11.4B37.
9B13.BA.A$22.8B11.B2A2B36.4B.4B17.A$15.2A4.8B13.2A31.2A4.4B.4B18.2A$
14.B2AB2.8B46.B2AB2.4B.4B$14.4B.8B47.4B.4B.4B$15.2B.8B49.2B.4B.4B$15.
10B50.6B.4B$13.11B49.7B.4B$10.13B47.14B$5.B3.13B43.B3.14B$4.2AB.9BA4B
42.2AB.9BA4B$4.2A10BABA4B41.2A10BABA4B$5.B.9BA2BA4B41.B.9BA2BA4B$8.9B
2A6B43.9B2A6B$9.11B2.4B43.11B2.4B$10.8B5.4B43.8B5.4B$10.10B4.4B42.10B
4.4B$11.3B4.2A5.4B42.3B4.2A5.4B$10.4B4.A7.4B40.4B4.A7.4B$9.4B6.3A5.4B
38.4B6.3A5.4B$10.B2AB7.A6.4B38.B2AB7.A6.4B$11.2A16.4B38.2A16.4B$30.4B
56.4B$31.4B56.4B$32.4B56.4B$33.4B56.4B$34.4B56.4B$35.4B56.4B$36.4B56.
4B$37.4B56.4B!
User avatar
dvgrn
Moderator
 
Posts: 4988
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI

Re: H-to-G and H-to-2G converter collection

Postby gmc_nxtman » August 23rd, 2017, 12:56 am

As discussed in the H-to-H collection thread, it might be worth compiling all H-to-G conduits found since October 21, 2016 and updating the collection in the OP. I believe these are all the elementary H-to-G conduits found since then, the first two discovered by Kazyan, the rest of the first row by AbhpzTa, and the second row by simeks:

x = 851, y = 178, rule = LifeHistory
399.D3.D.D3.D2.3D4.D3.5D3.D4.3D3.3D$399.2D2.D.D3.D.D3.D2.2D5.D4.2D3.D
3.D.D3.D$399.D.D.D.D3.D5.D3.D5.D5.D7.D.D2.2D$399.D2.2D.D.D.D3.2D4.D5.
D5.D6.D2.D.D.D$399.D3.D.D.D.D5.D3.D5.D5.D5.D3.2D2.D39.D3.D.D3.D2.3D4.
D3.5D3.D4.3D3.3D$399.D3.D.2D.2D.D3.D3.D5.D5.D4.D4.D3.D39.2D2.D.D3.D.D
3.D2.2D5.D4.2D3.D3.D.D3.D$399.D3.D.D3.D2.3D3.3D4.D4.3D2.5D2.3D40.D.D.
D.D3.D5.D3.D5.D5.D7.D.D2.2D$485.D2.2D.D.D.D3.2D4.D5.D5.D6.D2.D.D.D$
485.D3.D.D.D.D5.D3.D5.D5.D5.D3.2D2.D$485.D3.D.2D.2D.D3.D3.D5.D5.D4.D
4.D3.D$399.D3.D.D3.D2.3D3.3D2.5D3.D4.3D3.3D40.D3.D.D3.D2.3D3.3D4.D4.
3D2.5D2.3D$399.2D2.D.D3.D.D3.D.D7.D4.2D3.D5.D3.D$399.D.D.D.D3.D5.D.D
7.D5.D3.D9.D$399.D2.2D.D.D.D4.D2.4D4.D5.D3.4D4.2D$399.D3.D.D.D.D3.D3.
D3.D3.D5.D3.D3.D5.D39.D3.D.D3.D2.3D3.3D2.5D2.3D4.D4.3D$399.D3.D.2D.2D
2.D4.D3.D3.D5.D3.D3.D.D3.D39.2D2.D.D3.D.D3.D.D3.D3.D3.D3.D2.2D3.D3.D$
399.D3.D.D3.D.5D2.3D4.D4.3D3.3D3.3D40.D.D.D.D3.D5.D.D3.D3.D7.D3.D7.D$
485.D2.2D.D.D.D4.D3.4D3.D6.D4.D5.2D$485.D3.D.D.D.D3.D7.D3.D5.D5.D7.D$
485.D3.D.2D.2D2.D8.D3.D4.D6.D3.D3.D$400.3D2.5D2.3D3.3D2.5D3.D4.3D3.3D
40.D3.D.D3.D.5D2.3D4.D3.5D2.3D3.3D$399.D3.D.D5.D3.D.D3.D3.D4.2D3.D3.D
.D3.D$399.D5.D9.D5.D3.D5.D3.D2.2D.D3.D$400.3D2.3D6.D4.2D4.D5.D3.D.D.D
2.3D$403.D.D7.D7.D3.D5.D3.2D2.D.D3.D$399.D3.D.D6.D4.D3.D3.D5.D3.D3.D.
D3.D$400.3D2.5D.5D2.3D4.D4.3D3.3D3.3D$8.3D2.D3.D2.3D2.5D3.D5.D4.3D$7.
D3.D.D3.D.D3.D3.D4.2D4.2D3.D3.D$7.D5.D3.D5.D3.D5.D5.D3.D3.D117.3D2.5D
3.D4.3D2.5D2.3D$8.3D2.D.D.D3.2D4.D5.D5.D4.3D117.D3.D.D6.2D3.D3.D3.D3.
D3.D$11.D.D.D.D5.D3.D5.D5.D3.D3.D116.D5.D7.D3.D3.D3.D3.D3.D$7.D3.D.2D
.2D.D3.D3.D5.D5.D3.D3.D117.3D2.3D5.D4.3D4.D4.4D$8.3D2.D3.D2.3D4.D4.3D
3.3D3.3D121.D.D7.D3.D3.D3.D7.D290.6B$80.3D2.D3.D3.D4.3D2.5D3.D5.D4.3D
39.D3.D.D7.D3.D3.D3.D7.D291.6B$79.D3.D.D3.D2.2D3.D3.D3.D4.2D4.2D3.D3.
D39.3D2.5D2.3D3.3D4.D4.3D293.6B$79.D5.D3.D3.D7.D3.D5.D5.D7.D283.4B.4B
6.A67.6B$80.3D2.D.D.D3.D5.2D4.D5.D5.D6.D285.4B.4B5.3A66.6B$83.D.D.D.D
3.D7.D3.D5.D5.D5.D287.4B.4B7.A66.6B$79.D3.D.2D.2D3.D3.D3.D3.D5.D5.D4.
D121.3D2.5D3.D4.3D2.5D3.D4.3D39.3D2.5D9.D3.5D4.D4.D52.4B.4B5.2A67.6B$
80.3D2.D3.D2.3D3.3D4.D4.3D3.3D2.5D117.D3.D.D6.2D3.D3.D3.D4.2D3.D3.D
37.D3.D.D12.2D5.D5.2D3.2D53.4B.4B3.2B69.6B$243.D5.D7.D3.D2.2D3.D5.D3.
D3.D37.D5.D13.D5.D4.D.D4.D54.4B.9B69.6B4.2A$244.3D2.3D5.D3.D.D.D3.D5.
D4.4D38.3D2.3D3.5D3.D5.D3.D2.D4.D55.4B.8B70.6B2.B2AB$27.A219.D.D7.D3.
2D2.D3.D5.D7.D41.D.D13.D5.D3.5D3.D56.4B.8B.2B67.6B.3B$27.3A.A211.D3.D
.D7.D3.D3.D3.D5.D7.D37.D3.D.D13.D5.D6.D4.D57.4B.11B67.6B.B$30.2A212.
3D2.5D2.3D3.3D4.D4.3D3.3D39.3D2.5D8.3D4.D6.D3.3D57.16B67.10B$24.A2.2A
143.A246.15B67.11B$24.4A.5A137.A.A4.2A238.17B65.13B13.A$29.B4.A136.A.
A3.B2AB238.17B63.15B10.3A$24.5ABABA.A135.2A.2A2.3B7.A231.17B62.16B9.A
$24.A2.A.2A.2A69.A66.A2.B3.2B6.3A230.18B62.16B9.2A$16.2A7.6B71.A.A66.
AB2AB.3B4.A233.19B62.16B2.3B.4B$17.A8.5B71.A.A64.A.A.2A5B4.2A228.2A3.
18B63.23B$17.A.AB3.7B69.3A.2A63.2A4.7B.3B229.A4.17B62.26B$18.2AB.8B
69.A4.B71.8B231.A.AB2.16B61.28B$20.12B68.3AB2AB68.10B231.2AB.16B56.2A
4.28B$12.2A6.13B59.2A8.A.2AB.B66.5B2A2B69.A10.2A67.A10.2A72.16B59.A5.
26B$13.A6.13B8.2A50.A10.6B64.6B2A2B69.3A9.A67.3A9.A73.16B58.A.AB2.25B
$13.A.AB5.11B8.A51.A.AB9.4B64.9B.B3.2B66.A8.A.2A67.A8.A.2A68.18B59.2A
B.25B$14.2AB.3B2.11B4.BA.A52.2AB.3B4.6B63.8B.3B.4B64.2A3.B5.A.A66.2A
3.B5.A.A67.19B61.26B$16.21B.B2A55.7B.8B63.17B63.8B4.B67.8B4.B68.19B
61.26B$16.19B2A2B57.17B62.17B65.8B.3B68.8B.3B68.17B63.25B$17.18BA.AB
58.15B64.17B64.13B67.13B66.19B61.25B$16.15B5.2A58.16B64.16B64.14B.2B
63.14B.2B61.17B.4B58.27B$14.17B63.17B63.18B62.18B2A60.18B2A58.19B2.4B
55.28B$12.19B61.19B61.20B60.18B.B2A58.18B.B2A58.2BD16B3.4B54.2BD26B.B
$12.2BD15B62.2BD15B62.2BD18B59.2BD15B2.B59.2BD15B2.B58.3BDBD4B.10B3.
4B52.3BDBD25B2A$11.3BDBD12B62.3BDBD4B.8B61.3BDBD4B.7B.4B57.3BDBD4B.7B
62.3BDBD4B.7B63.2B3D4B.11B3.4B52.2B3D25B2A$12.2B3D4B2.6B63.2B3D4B2.8B
61.2B3D4B.7B2.4B57.2B3D12B63.2B3D12B62.5BD4B2.10B4.3B51.5BD26B$11.5BD
4B3.6B61.5BD4B2.8B60.5BD4B.7B3.4B55.5BD12B10.2A50.5BD12B61.10B4.8B6.
2B50.10B.19B.B$10.10B6.4B60.10B4.7B59.10B3.5B5.4B53.19B.3B6.A50.19B
60.4B11.6B9.B49.4B8.18B$9.4B.4B7.B2A2B59.4B10.6B60.4B10.7B4.4B51.4B7.
15B.BA.A49.4B7.10B8.2A49.3B12.6B59.3B9.19B$8.4B.4B9.2A.B2A57.3B10.8B
59.3B10.2B4.2A5.4B50.3B8.15B.B2A50.3B8.11B7.A48.4B14.4B58.4B8.B.19B$
7.4B.4B13.BA.A54.4B11.9B56.4B11.2AB3.A7.4B47.4B11.15B50.4B11.12B.BA.A
48.2A14.5B59.2A9.A24B$6.4B.4B17.A54.2A12.4B.2B.3B55.2A9.2A.A.A5.3A5.
3B47.2A13.15B50.2A13.12B.B2A50.A14.2A63.A8.A.A24B$5.4B.4B18.2A54.A11.
4B3.2AB2A56.A9.A.2A.A.A5.A6.2B48.A14.14B51.A14.13B49.3A16.A60.3A10.AB
.23B$85.3A11.4B4.BA.A.A2.A49.3A16.2A13.B45.3A15.13B49.3A15.13B49.A15.
3A61.A15.11B2.10B$85.A12.4B4.A.A.A.4A49.A79.A18.11B50.A18.12B65.A79.
10B4.9B$97.4B3.3A.A.2A151.14B66.12B147.9B5.8B$96.4B3.A3.A.A3.A150.14B
66.12B147.7B6.7B$95.4B4.2A2.A2.A.2A150.15B65.12B148.5B9.2B2.2B$94.4B
10.2A153.17B63.13B148.3B14.B2AB$261.A.2AB.8B2.4B60.A.2AB.7B.B2A147.B
16.2A$259.3AB2AB.6B5.4B57.3AB2AB.7B.BA.A$258.A4.B6.5B4.4B55.A4.B5.4B
5.A$259.3A.2A8.2A5.4B55.3A.2A4.4B5.2A$261.A.A9.A7.4B56.2A2.A4.4B$261.
A.A10.3A5.3B59.2A5.4B$262.A13.A6.2B67.4B$284.B68.4B$354.4B$355.4B9$
235.D3.D.D3.D2.3D3.3D2.5D3.D4.3D3.3D$235.2D2.D.D3.D.D3.D.D7.D4.2D3.D
3.D.D3.D$235.D.D.D.D3.D5.D.D7.D5.D7.D.D3.D$77.D3.D.D3.D2.3D3.3D2.5D3.
D4.3D3.3D112.D2.2D.D.D.D3.2D2.4D4.D5.D6.D3.3D$77.2D2.D.D3.D.D3.D.D7.D
4.2D3.D3.D.D115.D3.D.D.D.D5.D.D3.D3.D5.D5.D3.D3.D$77.D.D.D.D3.D5.D.D
7.D5.D7.D.D37.D3.D.D3.D3.D4.3D2.5D3.D4.3D5.D32.D3.D.2D.2D.D3.D.D3.D3.
D5.D4.D4.D3.D$D3.D.D3.D3.D3.5D.5D2.3D3.3D37.D2.2D.D.D.D3.2D2.4D4.D5.D
6.D2.4D34.2D2.D.D3.D2.2D3.D7.D4.2D3.D3.D3.2D32.D3.D.D3.D2.3D3.3D4.D4.
3D2.5D2.3D$2D2.D.D3.D2.2D7.D3.D3.D3.D.D3.D36.D3.D.D.D.D5.D.D3.D3.D5.D
5.D3.D3.D33.D.D.D.D3.D3.D3.D7.D5.D7.D2.D.D$D.D.D.D3.D3.D6.D4.D3.D3.D.
D2.2D36.D3.D.2D.2D.D3.D.D3.D3.D5.D4.D4.D3.D33.D2.2D.D.D.D3.D3.4D4.D5.
D6.D2.D2.D$D2.2D.D.D.D3.D5.D5.D4.4D.D.D.D36.D3.D.D3.D2.3D3.3D4.D4.3D
2.5D2.3D34.D3.D.D.D.D3.D3.D3.D3.D5.D5.D3.5D$D3.D.D.D.D3.D4.D6.D7.D.2D
2.D116.D3.D.2D.2D3.D3.D3.D3.D5.D4.D7.D$D3.D.2D.2D3.D3.D7.D7.D.D3.D
116.D3.D.D3.D2.3D3.3D4.D4.3D2.5D4.D$D3.D.D3.D2.3D2.D7.D4.3D3.3D4$.3D
2.D3.D3.D3.5D.5D3.D5.D4.3D208.4B68.D3.D.5D2.3D5.D2.5D4.D3.3D33.3D2.D
3.D2.3D3.3D2.5D3.D3.5D4.D120.D3.D.D3.D2.3D2.5D3.D4.3D3.3D43.D3.D.D3.D
3.D3.5D3.D4.3D3.3D$D3.D.D3.D2.2D3.D7.D4.2D4.2D3.D3.D208.4B67.2D2.D.D
5.D3.D3.2D4.D5.2D2.D3.D31.D3.D.D3.D.D3.D.D3.D3.D4.2D7.D3.2D120.2D2.D.
D3.D.D3.D3.D4.2D3.D3.D.D46.2D2.D.D3.D2.2D5.D4.2D3.D3.D.D3.D$D5.D3.D3.
D3.D7.D5.D5.D3.D3.D209.4B66.D.D.D.D9.D2.D.D4.D4.D.D2.D3.D31.D5.D3.D5.
D.D3.D3.D5.D6.D3.D.D37.3D2.D3.D3.D3.5D.5D3.D5.D4.3D38.D.D.D.D3.D5.D3.
D5.D3.D3.D.D46.D.D.D.D3.D3.D5.D5.D3.D3.D5.D$.3D2.D.D.D3.D4.3D4.D5.D5.
D4.3D51.4B156.4B9.A55.D2.2D.3D5.2D2.D2.D4.D3.D2.D3.4D32.3D2.D.D.D4.D
3.3D4.D5.D5.D3.D2.D36.D3.D.D3.D2.2D3.D7.D4.2D4.2D3.D41.D2.2D.D.D.D4.D
4.D5.D4.4D.4D43.D2.2D.D.D.D3.D5.D5.D4.4D4.D$4.D.D.D.D3.D7.D3.D5.D5.D
3.D3.D51.4B156.4B6.3A55.D3.D.D9.D.5D3.D3.5D5.D35.D.D.D.D3.D3.D3.D3.D
5.D4.D4.5D35.D5.D3.D3.D3.D7.D5.D5.D3.D41.D3.D.D.D.D3.D5.D5.D7.D.D3.D
42.D3.D.D.D.D3.D5.D5.D7.D3.D40.D3.D.5D2.3D2.5D.5D3.D4.3D39.3D2.5D3.D
4.3D2.5D2.3D3.3D$D3.D.2D.2D3.D3.D3.D3.D5.D5.D3.D3.D52.4B8.2A50.4B15.
2A.2A.A70.4B4.A58.D3.D.D5.D3.D4.D4.D6.D6.D31.D3.D.2D.2D2.D4.D3.D3.D5.
D3.D8.D37.3D2.D.D.D3.D4.3D4.D5.D5.D3.4D38.D3.D.2D.2D2.D6.D5.D7.D.D3.D
42.D3.D.2D.2D3.D5.D5.D7.D2.D41.2D2.D.D5.D3.D5.D3.D4.2D3.D3.D37.D3.D.D
6.2D3.D3.D3.D3.D3.D.D3.D$.3D2.D3.D2.3D3.3D4.D4.3D3.3D3.3D54.4B6.A2.A
50.4B14.2A.A.2A71.4B3.2A57.D3.D.5D2.3D5.D4.D6.D3.3D33.3D2.D3.D.5D2.3D
4.D4.3D2.D8.D40.D.D.D.D3.D7.D3.D5.D5.D3.D3.D37.D3.D.D3.D.5D3.D4.3D3.
3D3.3D43.D3.D.D3.D2.3D4.D4.3D3.3D2.5D38.D.D.D.D9.D4.D4.D5.D7.D37.D5.D
7.D3.D2.2D3.D7.D.D3.D$101.4B2.BA2.A.A51.4B16.A75.8B211.D3.D.2D.2D3.D
3.D3.D3.D5.D5.D3.D3.D199.D2.2D.3D5.2D4.D5.D5.D6.D39.3D2.3D5.D3.D.D.D
3.D6.D3.4D$102.4B.B4A.2A51.4B12.2A.AB4A71.5B214.3D2.D3.D2.3D3.3D4.D4.
3D3.3D3.3D200.D3.D.D9.D2.D6.D5.D5.D43.D.D7.D3.2D2.D3.D5.D7.D$103.5B6.
A52.4B9.A2.ABA.A2.A72.5B2.2A454.D3.D.D5.D3.D.D7.D5.D4.D40.D3.D.D7.D3.
D3.D3.D4.D8.D$103.4B.B.4A54.4B8.2A2.A2B.2B73.5B2.2A454.D3.D.5D2.3D2.D
7.D4.3D2.5D38.3D2.5D2.3D3.3D4.D3.5D2.3D$103.7BA58.4B12.4B74.5B$93.2A
7.9B.2A56.4B10.6B63.2A7.8B2A$94.A5.9B4.A57.4B9.7B63.A5.9B.A2.A$94.A.A
B.11B3.A.A56.4B8.8B62.A.AB.10B3.2A$95.2AB.12B3.2A57.4B5.10B63.2AB.11B
$15.4B78.13B64.4B2.11B66.13B79.2A78.2A129.4B25.2A48.4B26.2A$16.4B77.
13B65.17B65.13B79.A79.A131.4B24.A50.4B25.A$17.4B76.12B67.17B64.12B77.
A4.A2.2A70.A4.A2.2A71.2A53.4B20.A4.A2.2A45.4B21.A4.A2.2A$18.4B5.2A69.
12B67.16B65.12B76.5A.A2.A70.5A.A2.A71.A55.4B19.5A.A2.A46.4B20.5A.A2.A
$13.A5.4B3.B2A2B66.14B66.15B65.14B61.2A16.B.2A.A.2A53.2A16.B.2A.A.2A
65.A4.A2.2A50.4B4.2A16.B.2A.A.2A44.4B5.2A16.B.2A.A.2A54.A10.2A67.A10.
2A$13.3A4.4B3.4B66.14B66.15B65.14B62.A10.4AB3AB2.A2.A54.A10.4AB3AB2.A
2.A65.5A.A2.A51.4B4.A10.4AB3AB2.A2.A45.4B5.A10.4AB3AB2.A2.A54.3A9.A
67.3A9.A$16.A4.10B67.12B66.15B67.12B63.A.AB7.A2.A.A3B2A.A56.A.AB7.A2.
A.A3B2A.A53.2A16.B.2A.A.2A49.4B3.A.AB7.A2.A.A3B2A.A48.4B4.A.AB7.A2.A.
A3B2A.A59.A8.A.2A67.A8.A.2A$15.2A3.B.9B67.12B66.14B68.12B64.2AB.3B4.
7B2.A.2A56.2AB.3B4.7B2.A.2A53.A10.4AB3AB2.A2.A50.4B3.2AB.3B4.7B2.A.2A
48.4B4.2AB.3B4.7B2.A.2A57.2A3.B5.A.A66.2A3.B5.A.A$15.15B6.A61.11B67.
14B68.11B67.7B3.7B.A61.7B3.7B.A56.A.AB7.A2.A.A3B2A.A53.4B4.7B3.7B.A
52.4B5.7B3.7B.A60.8B4.B67.8B4.B$17.13B4.3A58.13B68.15B64.13B68.16B.2A
61.16B.2A57.2AB.3B4.7B2.A.2A53.4B3.16B.2A53.4B4.16B.2A62.8B.3B68.8B.
3B$17.15B.A60.14B69.14B63.14B69.15B65.15B62.7B3.7B.A57.4B3.15B57.4B4.
15B65.13B67.13B$16.17B.A59.15B67.15B63.15B67.16B64.16B62.16B.2A58.4B.
16B58.4B2.16B64.14B.2B63.14B.B$14.19B2A59.15B65.17B63.15B65.18B62.18B
63.15B62.20B59.21B62.18B2A60.18B2A$12.20BA61.15B63.19B63.15B63.19B61.
19B63.16B62.19B61.19B61.18B.B2A19.B38.18B.B2A$12.2BD17B5A55.17B63.2BD
16B2.A58.17B63.2BD15B3.2A57.2BD15B3.2A57.18B62.2BD15B62.2BD15B62.2BD
15B.2B19.2B38.2BD15B.B$11.3BDBD4B.7B.2B4.A53.19B62.3BDBD4B.9B.A.A55.
19B62.3BDBD4B.7B5.A56.3BDBD4B.7B5.A55.19B62.3BDBD4B.7B62.3BDBD4B.7B
62.3BDBD4B.7B22.3B37.3BDBD4B.7B$12.2B3D12B3.2A56.2BD16B2.A60.2B3D4B2.
B.6B2.A56.2BD16B2.A60.2B3D4B2.7B4.A.2A54.2B3D4B2.7B4.A.2A52.2BD15B4.
2A58.2B3D4B2.7B62.2B3D4B2.7B62.2B3D12B21.4B38.2B3D12B$11.5BD12B4.A55.
3BDBD4B.9B.A.A58.5BD4B5.5B58.3BDBD4B.9B.A.A58.5BD4B2.8B4.A.A8.B44.5BD
4B2.8B4.A.A51.3BDBD4B.7B5.A58.5BD4B2.8B60.5BD4B2.8B15.2A43.5BD12B20.
4B38.5BD12B$10.20B3.A.A54.2B3D4B2.B.6B2.A58.10B5.B2A2B60.2B3D4B2.B.6B
2.A58.10B4.7B5.B8.2B43.10B4.7B5.B53.2B3D4B2.7B.BA.A57.12B2.7B59.11B3.
7B11.2A2.A43.19B19.4B38.19B$9.4B6.2B.7B5.2A53.5BD4B5.5B60.4B11.AB.A.B
2A57.5BD4B5.5B60.4B10.8B2.B.3B6.3B42.4B10.8B2.B.3B51.5BD4B2.7B.B2A57.
4B6.12B58.4B5.4B.8B11.A.A.A42.4B7.10B17.4B38.4B7.10B$9.3B10.8B59.9B5.
B2A2B61.3B11.A.2A2.BA.A56.9B5.B2A2B61.3B11.8B.7B4.4B42.3B11.16B50.9B
4.8B59.3B8.11B4.B53.3B7.12B4.B.B5.B.A43.3B8.10B4.3B9.4B39.3B8.10B4.3B
$7.4B12.6B58.4B11.AB.A.B2A57.4B12.A8.A54.4B11.AB.A.B2A57.4B12.17B2.4B
41.4B12.17B47.4B10.9B57.4B10.12B.3B.2B47.4B9.13B.6B2.2B43.4B11.9B3.4B
3.2B3.4B37.4B11.9B3.4B$7.2A14.6B58.2A12.A.2A2.BA.A56.2A13.2A8.2A53.2A
12.A.2A2.BA.A56.2A14.22B42.2A14.18B46.2A12.8B58.2A13.18B8.2A37.2A12.
21B2AB42.2A13.16B.11B37.2A13.16B.B$8.A13.7B4.2A53.A12.A8.A57.A79.A12.
A8.A57.A13.22B44.A13.20B46.A12.7B60.A13.19B7.A39.A13.20B2AB43.A14.28B
37.A14.21B.2A$5.3A13.9B2.A.A50.3A12.2A8.2A53.3A77.3A12.2A8.2A53.3A15.
20B42.3A15.19B43.3A13.7B57.3A15.18B4.BA.A36.3A15.22B40.3A15.28B34.3A
15.22BA.A.2A$5.A14.10B2.A52.A79.A79.A79.A17.19B43.A17.19B43.A14.8B57.
A17.21B.B2A37.A17.21B41.A18.27B34.A18.20B3.A.2A$19.12B2A311.17B63.17B
58.9B76.18B2A2B58.20B60.26B54.21B2.A$18.4B5.BA316.15B65.11B62.8B79.
11B3.B.BA.AB59.19B60.25B55.21B3A$17.4B6.B5A316.10B70.6B62.9B82.8B7.2A
62.16B61.24B56.20BAB$16.4B5.A6.A316.9B71.6B61.4B.4B81.10B72.14B61.4B
2.15B59.4B2.16B3A$15.4B6.5A318.9B71.7B60.4B2.2B2AB79.11B.B71.12B63.4B
2.14B60.4B2.12B5.A$14.4B11.A319.7B71.10B57.4B5.A.BA78.13BA70.10B65.2B
2AB.10B64.2B2AB.12B5.A.A$13.4B10.A322.5B71.4B.4B2A56.4B4.A.A.2A80.10B
A.A70.11B65.2A2.7B69.2A2.7B2.4B5.2A$27.2A321.5B70.4B4.2BAB2.2A51.4B3.
3A.A83.9B.BA71.6B.B.2A70.4B76.4B5.4B$351.3B70.4B5.A.A.A2.A50.4B3.A4.A
84.8B73.7B3.A72.3B77.3B6.4B$351.5B67.4B4.3A.A.2A51.4B4.2A3.2A83.8B74.
2A5B3.3A68.B2ABA75.B2ABA6.4B$354.2A66.4B4.A3.A.A152.6B75.2A4B6.A68.A.
A.3A73.A.A.3A5.4B$354.A66.4B5.2A2.A.A153.3B.B2A74.4B74.3A.A4.A70.3A.A
4.A5.4B$355.3A62.4B11.A158.BA.A72.4B74.A4.2A.A.A69.A4.2A.A.A6.4B$357.
A239.A72.BA2.A74.3A2.A.2A71.3A2.A.2A8.4B$597.2A71.B4A76.2A78.2A14.4B$
668.A$668.5A$672.A$670.A$670.2A!


This does not count composite conduits or other elementary X-to-G conduits.
User avatar
gmc_nxtman
 
Posts: 1130
Joined: May 26th, 2015, 7:20 pm

Re: H-to-G and H-to-Gn converter collection

Postby Kazyan » September 28th, 2017, 9:09 pm

New H-to-G, with a 2G option (I'm not counting the FNG):

x = 28, y = 96, rule = B3/S23
14b2o$14bo$12bobo$12b2o$8bo17b2o$7bobo16bo$7bobo14bobo$8bo15b2o3$2o$bo
$bobo$2b2o5$25b2o$25b2o$7bo$7bobo$7b3o$9bo2$25bo$24bobo$25bo4$15b2o$
14bobo$14bo$13b2o26$14b2o$14bo$12bobo$12b2o$8bo17b2o$7bobo16bo$7bobo
14bobo$8bo15b2o3$2o$bo$bobo$2b2o5$25b2o$25b2o$7bo$7bobo$7b3o$9bo11$19b
2o$19b2o!


The NE output is way out back--lane -27, if my math is right. This results in some convenient geometry when attached to a syringe--here's a smaller p686 gun with a bounding box of 76x59 (4484),

x = 76, y = 59, rule = LifeHistory
45.2A$32.A12.A.A$17.2A11.3A14.A4.2A$16.B2AB2.2B5.A13.4A.2A2.A2.A$17.
3B.4B4.2A12.A2.A.A.A.A.2A$10.2B6.B2.6B.3B14.BABABA.A$3.B4.21B17.B2ABA
.A$2.3B.24B17.2B.BA$.2A27B16.3B7.A$.2A26B8.2A6.4B7.3A$2.B.25B9.A6.B2A
3B8.A$6.2B.19B10.A.AB3.B2A3B7.A.A$12.14B13.2AB.10B5.A.AB$14.11B11.A4.
13B5.A3B$14.11B9.3A4.14B6.4B$13.13B7.A7.15B5.6B$12.16B5.2A8.8B2.4B4.
7B$12.23B8.6B5.4B2.8B.4B.B$.2A.2A2.2A2.21B9.9B4.17B.B2A$A.A.A2.A.A2.
18B2A2B7.4B4.2A5.18B2A$A.A2.2A.B3.17BA2BA2B5.4B5.A6.16B.2B$.A.A.A2.2B
.13B2.4B2A3B4.4B7.3A3.16B$2.A2.A.BA9B.5B4.9B.4B10.A3.15B$3.3A.A.A8B2.
3B6.12B11.A.2AB.12B$6.A.A.8B2.5B5.10B10.2A.A.AB2.11B$3.2A2.A4.5B6.2A
5.9B11.A2.A5.10B$.3A.2A4.6B6.A5.9B14.2A5.2B2A6B$A4.B6.6B6.3A3.7B21.3B
2A6B$.3AB2AB3.7B8.A3.6B23.10B$3.A.2AB.8B15.2B8.2B15.8B.B2A.A$7.10B23.
6B3.A8.7B3.B2AB3A$7.6B2A3B21.7B3.3A6.6B6.B4.A$7.6B2A2B5.2A14.9B5.A6.
6B4.2A.3A$7.10B5.A2.A11.9B5.2A6.5B4.A2.2A$6.11B2.BA.A.2A10.10B5.5B2.
8B.A.A$6.12B.B2A.A11.12B6.3B2.8BA.A.3A$5.15B3.A10.4B.9B4.5B.9BAB.A2.A
$4.16B3.3A7.4B4.3B2A4B2.13B.2B2.A.A.A$.2B.16B6.A5.4B5.2BA2BA17B3.B.2A
2.A.A$2A18B5.2A4.4B7.2B2A7B2A9B2.A.A2.A.A.A$2AB.17B4.9B9.10B2A9B2.2A
2.2A.2A$.B.4B.8B2.4B5.6B8.16B2A5B$8.7B4.4B2.8B8.2A5.8BABA5B$9.6B5.15B
7.A7.6B3A4B10.A$11.4B6.14B4.3A9.11B9.3A$13.3BA5.13B4.A11.6BA4B8.A$14.
BA.A5.10B.B2A13.4BA3BA5B6.2A$15.A.A6.4B2AB3.BA.A10.6BA4BA12B$16.A8.3B
2AB6.A9.7BA15B$17.3A7.4B6.2A8.12BA11B$19.A7.3B16.11BA2BA10B$24.AB.2B
17.12B2A12B$23.A.AB2AB17.21B.4B$23.A.ABABAB14.3B.6B2.B7.2B3.4B$20.2A.
A.A.A.A2.A12.2A4.4B.3B5.BA2B3.4B$20.A2.A2.2A.4A13.A5.2B2.B2AB4.A.A5.
3BA$22.2A4.A14.3A11.2A6.A7.ABA$28.A.A12.A30.2A$29.2A!
Tanner Jacobi
User avatar
Kazyan
 
Posts: 771
Joined: February 6th, 2014, 11:02 pm

Re: H-to-G and H-to-Gn converter collection

Postby dvgrn » September 28th, 2017, 11:19 pm

Kazyan wrote:New H-to-G, with a 2G option (I'm not counting the FNG)...
The NE output is way out back--lane -27, if my math is right.

Yup, NE-27T176 along with SE5T23 and the usual SW-2T21:

Code: Select all
x = 74, y = 75, rule = LifeHistory
D3.D.5D8.3D2.5D.5D3.D3.5D2.3D$2D2.D.D11.D3.D5.D3.D4.2D7.D.D$D.D.D.D
15.D4.D4.D5.D6.D2.D$D2.2D.3D3.5D4.D4.D5.D5.D5.D3.4D$D3.D.D13.D4.D6.D
5.D4.D4.D3.D$D3.D.D12.D4.D7.D5.D3.D5.D3.D$D3.D.5D7.5D.D7.D4.3D2.D6.3D
4$.3D2.5D.5D.5D2.3D3.3D$D3.D.D5.D7.D3.D3.D.D3.D$D5.D5.D7.D7.D5.D$.3D
2.3D4.3D4.D6.D4.2D$4.D.D9.D3.D5.D7.D$D3.D.D5.D3.D3.D4.D4.D3.D$.3D2.5D
2.3D4.D3.5D2.3D4$.3D2.D3.D8.3D2.5D2.3D4.D$D3.D.D3.D7.D3.D3.D3.D3.D2.
2D$D5.D3.D11.D3.D7.D3.D$.3D2.D.D.D.5D4.D4.D6.D4.D$4.D.D.D.D9.D5.D5.D
5.D9.4B$D3.D.2D.2D8.D6.D4.D6.D8.4B$.3D2.D3.D7.5D3.D3.5D2.3D6.4B$45.4B
$44.4B$43.4B$42.4B$41.4B$40.6B7.2A$39.7B7.A$39.9B2.BA.A$38.11B.B2A$
38.9BA3B14.2A$39.7BABA2B14.A$39.7BABA2B11.BA.A$41.B2.3BA3B8.2B.B2A$
45.6B6.6B$46.6B4.6B$39.2A5.6B4.7B$40.A6.6B2.8B$40.A.AB3.17B$41.2AB.
20B$43.22B$43.21B$43.19B$45.17B.2B$46.18B2A$44.18B.B2A$44.2BC15B2.B$
43.3BCBC13B$44.2B3C5B.7B$43.5BC4B2.7B$42.10B3.7B$41.4B11.6B.BA$40.4B
12.7BA.A$39.4B13.8BA$38.4B14.6B.B$37.4B15.5B$36.4B16.6B$35.4B15.2AB.
5B$34.4B15.A.AB3.4B$33.4B16.A7.4B$32.4B16.2A8.4B$31.4B28.4B$31.3B30.
4B$31.2B32.4B$31.B34.4B$67.4B$68.4B$69.4B$70.4B!
#C [[ THUMBNAIL THUMBSIZE 2 WIDTH 480 ZOOM 6 ]]

This just became my new favorite H-to-3G. Even with the syringe attached, it's really compact -- well under the old limit of 50x50, amazingly enough -- and it's a glider-to-two-glider converter as well as a very "edgy" color-changing reflector. No live cells at all on the inside of the turn:

x = 50, y = 44, rule = LifeHistory
30.4B$29.4B$28.4B$27.4B$26.4B$25.4B$24.4B$23.6B7.2A$22.7B7.A$21.10B2.
BA.A$20.12B.B2A$19.11BA3B14.2A$18.11BABA2B14.A$B16.4B.7BABA2B11.BA.A$
2B14.4B4.B2.3BA3B8.2B.B2A$2BA12.4B9.6B6.6B$ABAB10.4B11.6B4.6B$.2A2B8.
4B5.2A5.6B4.7B$2.4B6.4B7.A6.6B2.8B$3.4B4.4B8.A.AB3.17B$4.4B2.4B4.A5.
2AB.20B$5.8B3.3A7.22B$6.6B3.A10.21B$7.4B4.2A9.19B$2A6.9B11.17B.2B$.A
7.6B14.18B2A$.A.2A5.6B3.B2.2B2.19B.B2A$2.A2.A4.35B2.B$3.2AB3.36B$4.
14B2A25B$5.13B2A16B2.7B$6.29B3.7B$6.17B.B.4B9.6B.BA$7.15B4.3B10.7BA.A
$7.15B5.A2B.2A6.8BA$8.13B5.A.A2B.A6.6B.B$10.13B2.A.AB2.A7.5B$9.8B4.2A
.A.A3.A8.6B$9.6B6.2ABA2.4A.A4.2AB.5B$9.5B8.B2.A.A3.2A3.A.AB3.4B$9.B.B
9.2A.2A.A.A6.A7.4B$10.3B9.A.A3.A.3A2.2A8.4B$9.B2AB9.A.A4.A2.A13.4B$
10.2A11.A6.2A15.3B!

How did you come across this, anyway? It's clearly the same mechanism as the old SE22T-8 H-to-G converter, but the input reaction doesn't look very similar at all:

x = 114, y = 75, rule = LifeHistory
D3.D.5D8.3D2.5D.5D3.D3.5D2.3D$2D2.D.D11.D3.D5.D3.D4.2D7.D.D$D.D.D.D
15.D4.D4.D5.D6.D2.D24.D3.D.5D2.3D3.3D2.5D2.3D$D2.2D.3D3.5D4.D4.D5.D5.
D5.D3.4D21.2D2.D.D5.D3.D.D3.D3.D3.D3.D$D3.D.D13.D4.D6.D5.D4.D4.D3.D
20.D.D.D.D9.D.D2.2D3.D7.D$D3.D.D12.D4.D7.D5.D3.D5.D3.D20.D2.2D.3D5.2D
2.D.D.D3.D5.2D$D3.D.5D7.5D.D7.D4.3D2.D6.3D21.D3.D.D9.D.2D2.D3.D7.D$
73.D3.D.D5.D3.D.D3.D3.D3.D3.D$73.D3.D.5D2.3D3.3D4.D4.3D2$.3D2.5D.5D.
5D2.3D3.3D$D3.D.D5.D7.D3.D3.D.D3.D$D5.D5.D7.D7.D5.D39.3D2.5D2.3D3.3D
2.5D8.3D$.3D2.3D4.3D4.D6.D4.2D39.D3.D.D5.D3.D.D3.D3.D9.D3.D$4.D.D9.D
3.D5.D7.D38.D5.D9.D5.D3.D9.D3.D$D3.D.D5.D3.D3.D4.D4.D3.D39.3D2.3D6.D
5.D4.D3.5D2.3D$.3D2.5D2.3D4.D3.5D2.3D43.D.D7.D5.D5.D9.D3.D$73.D3.D.D
6.D5.D6.D9.D3.D$74.3D2.5D.5D.5D3.D10.3D2$.3D2.D3.D8.3D2.5D2.3D4.D$D3.
D.D3.D7.D3.D3.D3.D3.D2.2D$D5.D3.D11.D3.D7.D3.D61.4B$.3D2.D.D.D.5D4.D
4.D6.D4.D60.4B$4.D.D.D.D9.D5.D5.D5.D9.4B46.4B$D3.D.2D.2D8.D6.D4.D6.D
8.4B46.4B$.3D2.D3.D7.5D3.D3.5D2.3D6.4B46.4B$45.4B46.4B$44.4B46.4B$43.
4B32.B13.4B$42.4B33.2B11.4B$41.4B34.3B9.4B$40.6B7.2A24.4B7.6B7.2A$39.
7B7.A26.4B5.7B7.A$39.9B2.BA.A27.4B4.9B2.BA.A$38.11B.B2A29.4B2.11B.B2A
$38.9BA3B14.2A16.4B.9BA3B$39.7BABA2B14.A18.4B.7BABA2B$39.7BABA2B11.BA
.A19.3BA7BABA2B$41.B2.3BA3B8.2B.B2A21.B2AB.B2.3BA3B$45.6B6.6B24.ABAB
4.6B$46.6B4.6B26.4B4.6B7.2A$39.2A5.2B3AB4.7B26.4B3.2B3AB7.A$40.A6.A3B
AB2.8B27.4B2.BA2BA5.BA.A$40.A.AB3.A3BA12B27.5B2A6BA.3A$41.2AB.2A5B2A
11B27.5B2ABA2B4A$43.BA4BA5B2A8B28.4B2A2B3AB2A$43.BA3BABA4B2A7B22.2A5.
6B5ABAB$43.BA4BA5B2A5B25.A5.7B5AB$45.2A5B2A8B.2B22.A.AB2.8B3AB$46.BA
3BA12B2A22.2AB.9B.B$44.3BA3BA10B.B2A24.11B$44.2BDB3A11B2.B25.13B$43.
3BDBD13B28.9B.B2A.A$44.2B3D5B.7B29.7B2.B2AB3A$43.5BD4B2.7B28.8B4.B4.A
$42.10B3.7B29.8B2.2A.3A$41.4B11.6B.BA27.7B3.A.A$40.4B12.7BA.A23.11B2.
A.A$39.4B13.8BA23.11B4.A$39.2A15.6B.B24.11B$40.A15.5B27.11B$37.3A16.
6B26.8B2.B2A$37.A16.2AB.5B25.7B3.BA.A$53.A.AB3.4B24.7B6.A$53.A7.4B23.
6B7.2A$52.2A8.4B21.7B$63.4B19.4B.B$64.4B17.4B$65.4B16.3B$66.4B13.2AB$
67.2BAB11.A.AB$68.2B2A10.A$69.2A2B8.2A$70.4B!
User avatar
dvgrn
Moderator
 
Posts: 4988
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI

Re: H-to-G and H-to-Gn converter collection

Postby Kazyan » September 29th, 2017, 12:07 am

dvgrn wrote:How did you come across this, anyway? It's clearly the same mechanism as the old SE22T-8 H-to-G converter, but the input reaction doesn't look very similar at all:


I'm not sure where I first figured it out, but basically, that transparent beehive mechanism works on many perturbations of a honey farm. This particular iteration came up by investigating some CatForce outputs of 2 catalysts on a Herschel (though only 1 is really necessary to see the honey farm--just the block catalyst will do the trick), then tinkering around with that honey farm explosion. At some point I gave the beehive-and-eater a shot, and then did cleanup duty. The SE5T23 output is borrowed from other H-to-G's with the same lower evolution, to give the conduit a more useful second output than just an FNG.

EDIT: Smaller p581, with a bounding box of 76*68 (5168). I think further gun building can be done with this H-to-3G, but it'll go in the gun thread and not be done my me.

x = 76, y = 68, rule = B3/S23
32b2o$31bobo12bo$25b2o4bo14b3o11b2o$23bo2bo2b2ob4o13bo10b2o$23b2obobob
obo2bo12b2o$26bobobobo$26bobob2o$27bo2$40b2o32b2o$31b2o7bo33b2o$31b2o
5bobo$38b2o$42bo$42b3o$9bo35bo$9b3o32b2o$12bo$11b2o$28b2o17b2o$29bo16b
o2bo$3b2o21b3o18b2o$3bo22bo$2obo$o2b3o4b2o$b2o3bo3b2o42b2o$3b4o48bo$3b
o15b2o31b3o$4b3o12bobo30bo$7bo13bo$2b5o14b2o$2bo$4bo$3b2o4$62b2o$53b2o
7b2o$54bo$54bobo$49b2o4b2o$50bo20b2o$50bobo18bo$40bo10b2o16bobo$38b3o
28b2o$37bo$37b2o$22b2o$23bo$23bob2o$24bo2bo23bo$25b2o24bobo$40b2o9b3o$
40b2o11bo2$63b2o$63b2o2b2o$49bo3b2o12bobo$48bobo3bo14bo$47bobo3bo15b2o
$43b2obobo3bo$43b2obo2b4obo$47bobo3b2o$43b2ob2obobo$44bobo3bob3o$32b2o
10bobo4bo2bo$32b2o11bo6b2o!
Tanner Jacobi
User avatar
Kazyan
 
Posts: 771
Joined: February 6th, 2014, 11:02 pm

Re: H-to-G and H-to-Gn converter collection

Postby Kazyan » October 6th, 2017, 2:16 am

New H-to-G1, with the key glider being on a known line but different timing.

x = 38, y = 32, rule = B3/S23
29bo$17b2o9bobo$17b2o10bo2$27b5o$27bo4bo$30bo2bo$30b2obo2bo$27bo5bobob
o$26bobo4bo2bo$26bo2bo2b2o$27b2o3$2o$bo$bobo$2b2o6$32b2o$2bo28bobo$2bo
bo26b2o$2b3o$4bo3$19b2o$19b2o!


It says something neat about Life technology that pair-gliders like these are now an inconvenience rather than the only useful glider outputs.
Tanner Jacobi
User avatar
Kazyan
 
Posts: 771
Joined: February 6th, 2014, 11:02 pm

Re: H-to-G and H-to-Gn converter collection

Postby dvgrn » October 7th, 2017, 7:22 pm

Kazyan wrote:New H-to-G1, with the key glider being on a known line but different timing...
It says something neat about Life technology that pair-gliders like these are now an inconvenience rather than the only useful glider outputs.

This one might not even be an inconvenience. Seems as if it might have a workable geometry to reduce the glider-to-2c/3-wire converter a little more.

EDIT: With either a G0 or a G1 tandem glider, the new semi-cenarks are the next best thing to having a color-changing Snark to go along with the color-preserving one. As described in hideous detail here, we can accept the G1 pair in different ways -- here allowing a glider to be turned onto any NE lane, of either color:

x = 104, y = 64, rule = LifeHistory
82.4B$21.4B56.4B$20.4B56.4B$19.4B56.4B$18.4B56.4B$17.4B56.4B$16.4B56.
4B$15.4B56.4B$14.4B56.4B$13.4B56.4B$6.2A4.4B50.2A4.4B$5.A.A3.4B50.A.A
3.4B$5.A4.4B51.A4.4B$A.2A.2A2.4B47.A.2A.2A2.4B$2A.A.7B48.2A.A.7B$3.A
3.6B50.A3.6B$3.2A2.7B6.2A41.2A2.7B6.2A$7.6BAB5.A46.6BAB5.A$7.5BABA2.B
A.A46.5BABA2.BA.A$7.5B2A2B.B2A47.5B2A2B.B2A$6.12B48.12B$6.12B48.12B$
6.12B48.12B$4.2AB.7B2CB18.A27.2AB.7B2D18.A$3.A.AB2.6B2C2B5.2A9.A.A25.
A.AB2.6B2DB5.2A9.A.A$3.A6.10B3.B2AB9.A26.A6.9B3.B2AB9.A$2.2A5.5B2.5B
2.3B36.2A5.5B.5B2.3B$8.BAB.B4.5B2.B.B7.5A29.BAB.B3.5B2.B.B7.5A$8.A.A.
2A4.9B7.A4.A28.A.A.2A3.9B7.A4.A$9.2ABA6.8B9.BAB.A28.2ABA5.8B9.BAB.A$
11.A2.A5.7B9.B2A.A2.A27.A2.A4.7B9.B2A.A2.A$11.A.2A5.7B7.A4B.A.A.A26.A
.2A4.7B7.A4B.A.A.A$8.2A.A7.9B5.ABAB3.A2.A28.A5.9B5.ABAB3.A2.A$8.A.2A
5.B.9B5.A2BA2.2A29.A.A3.B.9B5.A2BA2.2A$16.13B.4B2A34.2A3.13B.4B2A$15.
19B40.19B$15.19B40.19B$7.2A6.19B32.2A6.19B$8.A6.21B31.A6.21B$8.A.AB4.
20B31.A.AB4.20B$9.2AB.24B31.2AB.24B$11.26B33.26B$11.28B31.28B$12.29B
30.29B$11.30B29.30B$9.28B.4B26.28B.4B$7.31B.2A2B23.31B.2A2B$7.2BC28BA
.AB24.2BC28BA.AB$6.3BCBC4B.17B.3B2A25.3BCBC4B.17B.3B2A$7.2B3C4B.10B.
6B3.3B26.2B3C4B.10B.6B3.3B$6.5BC4B.8B5.B.B5.B26.5BC4B.8B5.B.B5.B$5.
10B.9B39.10B.9B$4.4B6.10B.2B36.4B6.10B.2B$3.4B5.14B2A34.4B5.14B2A$2.
4B5.15B2A33.4B5.15B2A$2.2A6.17B34.2A6.17B$3.A7.13B38.A7.13B$3A11.10B
35.3A11.10B$A13.11B34.A13.11B$14.10B49.10B$15.8B51.8B$18.4B55.4B$19.
4B55.4B$20.4B55.4B!

(We could do something similar with just a Snark, if we could just suppress one or the other of the NW gliders, but there's no known eater that's highway-robber-like enough to manage that trick. On the other hand, we *can* do a somewhat equivalent trick with just a Snark, with any odd-lane-offset tandem glider emitter, G3 or wider. Like this G9 for example, or the new G7... so probably the above is all a bit of a stretch to try to make the G1 output look like it's more useful than it will really turn out to be in practice.)

I forget -- is there a known way to suppress that familiar-looking SE glider output, so that this H-to-G1 could be attached directly to a syringe?

It's nice that there's a SE glider output. We're getting to have lots of H-to-G options, but not so many H-to-2Gs or H-to-3Gs. This one won't win any prizes for compactness, I suppose, but it's good to have it in the toolkit.
User avatar
dvgrn
Moderator
 
Posts: 4988
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI

Re: H-to-G and H-to-Gn converter collection

Postby Kazyan » October 7th, 2017, 8:08 pm

dvgrn wrote:This one might not even be an inconvenience. Seems as if it might have a workable geometry to reduce the glider-to-2c/3-wire converter a little more.

I forget -- is there a known way to suppress that familiar-looking SE glider output, so that this H-to-G1 could be attached directly to a syringe?


I don't think so--the glider can be suppressed, but not without bumping into the syringe catalyst. Some intermediate conduit is going to be necessary, I think.
Tanner Jacobi
User avatar
Kazyan
 
Posts: 771
Joined: February 6th, 2014, 11:02 pm

Re: H-to-G and H-to-Gn converter collection

Postby simeks » December 20th, 2017, 4:44 pm

New H-to-G7:

x = 45, y = 59, rule = LifeHistory
5.3D2.D3.D.5D.5D3.D5.D4.3D$4.D3.D.D3.D.D7.D4.2D4.2D3.D3.D$4.D5.D3.D.D
7.D5.D5.D7.D$5.3D2.D.D.D2.3D4.D5.D5.D6.D$8.D.D.D.D5.D3.D5.D5.D5.D$4.D
3.D.2D.2D.D3.D3.D5.D5.D4.D$5.3D2.D3.D2.3D4.D4.3D3.3D2.5D4$5.3D2.D3.D
8.3D2.5D2.3D4.D$4.D3.D.D3.D7.D3.D3.D3.D3.D2.2D$4.D5.D3.D11.D3.D7.D3.D
$5.3D2.D.D.D.5D4.D4.D6.D4.D$8.D.D.D.D9.D5.D5.D5.D$4.D3.D.2D.2D8.D6.D
4.D6.D$5.3D2.D3.D7.5D3.D3.5D2.3D13$24.2A$23.B2AB$24.2B$8.2A13.2B$9.A
10.6B$9.A.AB3.11B.2A$10.2AB.14B.A$12.15B.A$12.14B3.3A$13.13B5.A$12.
14B$10.16B$8.18B$8.2BC15B2.2A$7.3BCBC15BA2.A$8.2B3C10B2A2B3.2A$7.5BC
5B.3BA2BAB$6.11B2.4B2AB$5.4B3.4B5.2B.B$4.4B3.4B5.3B$3.4B3.4B6.B2AB$2.
4B3.4B8.2A$.4B3.4B$4B3.4B$3B3.4B$2B3.4B$B3.4B$3.4B$2.4B$.4B!
simeks
 
Posts: 365
Joined: March 11th, 2015, 12:03 pm
Location: Sweden

Re: H-to-G and H-to-Gn converter collection

Postby dvgrn » December 20th, 2017, 7:38 pm

simeks wrote:New H-to-G7...

That's a fairly nice compact converter. Let's see, we don't have any particular uses for G7 tandem gliders, do we? There isn't anything in the Elementary Conduits collection, anyway.

I spent some time trying to convince myself that the H-to-G1 a few posts up was useful as a way of producing any color of output glider, because of semi-cenarks' ability to accept G1 tandem gliders. But now it occurs to me that any G{odd}, like this H-to-G7, can do basically the same thing by just moving around a regular eater and a plain old Snark:

x = 110, y = 48, rule = LifeHistory
20.A59.A$18.3A57.3A$17.A59.A$17.2A58.2A$15.4B23.2A31.4B23.2A$14.3B24.
B2AB29.3B24.B2AB$14.4B24.2B30.4B24.2B$B12.5B8.2A13.2B17.B12.5B8.2A13.
2B$2B11.6B8.A10.6B16.2B11.6B8.A10.6B$9B2.8B8.A.AB3.11B.2A12.9B2.8B8.A
.AB3.11B.2A$5BC14B8.2AB.14B.A12.5BC14B8.2AB.14B.A$.2B3C13B11.15B.A14.
2B3C13B11.15B.A$3BCBC4B.7B12.14B3.3A10.3BCBC4B.7B12.14B3.3A$.2BC15B
12.13B5.A11.2BC15B12.13B5.A$.18B11.14B17.18B11.14B$3.17B8.16B19.17B8.
16B$5.15B.2B2.19B21.15B.2B2.19B$6.22BD15B2.2A18.22BD15B2.2A$6.8B.13BD
BD15BA2.A16.8B.13BDBD15BA2.A$4.8B3.2B2A9B3D10B2A2B3.2A14.8B3.2B2A9B3D
10B2A2B3.2A$4.2A3.B5.2B2A11BD5B.3BA2BAB19.2A3.B5.2B2A11BD5B.3BA2BAB$
5.A10.19B2.4B2AB21.A10.19B2.4B2AB$2.3A12.B.3B.4B3.4B5.2B.B19.3A12.B.
3B.4B3.4B5.2B.B$2.A20.3B3.4B5.3B21.A19.4B4.3B5.3B$21.4B3.4B6.B2AB41.
2B3.4B6.B2AB$21.2A4.B11.2A42.B4.2A9.2A$22.A3.2B61.A$11.A7.3A3.3B36.A
21.3A$11.3A5.A4.4B36.3A19.A$14.A8.4B40.A8.2B$13.2A7.4B40.2A7.3B$13.5B
3.4B41.5B3.4B$15.3B2.4B44.3B2.4B$5.2A7.9B35.2A7.9B$5.A8.8B36.A8.8B$2.
2A.A.B3.10B34.2A.A.B3.10B$2.A2.3AB.2B2A7B34.A2.3AB.2B2A7B$3.2A2.BA3B
2A7B35.2A2.BA3B2A7B$5.4A12B37.4A12B$5.A.2B3.7B.B2A35.A.2B3.7B.B2A$6.
3AB2.7B.BA.A35.3AB2.7B.BA.A$9.A4.4B5.A38.A4.4B5.A$4.5A5.4B5.2A32.5A5.
4B5.2A$4.A10.4B38.A10.4B$6.A9.4B39.A9.4B$5.2A10.4B37.2A10.4B$18.4B49.
4B$19.4B49.4B!

So it seems like it might possibly be worth adding the very smallest H-to-G0s and H-to-G1s plus semi-cenarks to the H-to-G collection, but even moderately large H-to-G(n) are going to end up too bulky to be very useful once the semi-cenarks are added:

x = 139, y = 69, rule = LifeHistory
24.D3.D2.3D2.D3.D9.D3.5D3.D5.D4.3D9.3D2.D3.D8.3D2.5D2.3D4.D$24.D3.D.D
3.D.D3.D8.2D5.D4.2D4.2D3.D3.D7.D3.D.D3.D7.D3.D3.D3.D3.D2.2D$24.D3.D.D
5.D3.D9.D5.D5.D5.D3.D2.2D7.D5.D3.D11.D3.D7.D3.D$24.5D2.3D2.D.D.D.5D3.
D5.D5.D5.D3.D.D.D8.3D2.D.D.D.5D4.D4.D6.D4.D$24.D3.D5.D.D.D.D9.D5.D5.D
5.D3.2D2.D11.D.D.D.D9.D5.D5.D5.D$24.D3.D.D3.D.2D.2D9.D5.D5.D5.D3.D3.D
7.D3.D.2D.2D8.D6.D4.D6.D$24.D3.D2.3D2.D3.D8.3D4.D4.3D3.3D3.3D2.5D2.3D
2.D3.D7.5D3.D3.5D2.3D5$26.A80.A$24.3A12.2A64.3A12.2A$A22.A16.A40.A22.
A16.A$3A20.2A15.A.AB.3B33.3A20.2A15.A.AB.3B$3.A17.4B16.2AB.4B35.A17.
4B16.2AB.4B$2.2A16.3B20.7B33.2A16.3B20.7B$20.4B19.7B51.4B19.7B$6.B12.
5B8.2A11.5B37.B12.5B8.2A11.5B$6.2B11.6B8.A10.7B36.2B11.6B8.A10.7B$6.
9B2.8B8.A.AB6.8B3.2A31.9B2.8B8.A.AB6.8B3.2A$6.5BC14B8.2AB.3B.9B2.A2.A
30.5BC14B8.2AB.3B.9B2.A2.A$7.2B3C13B11.18B3A31.2B3C13B11.18B3A$6.3BCB
C4B.7B12.16B.B33.3BCBC4B.7B12.16B.B$7.2BC15B12.16BAB2A31.2BC15B12.16B
AB2A$7.18B11.15B.B2A2.A30.18B11.15B.B2A2.A$9.17B8.18B.B2.2A32.17B8.
18B.B2.2A$11.15B.2B2.20B41.15B.2B2.20B$12.22BD15B43.22BD15B$12.8B.13B
DBD4B.8B43.8B.13BDBD4B.8B$10.8B3.2B2A9B3D4B2.7B41.8B3.2B2A9B3D4B2.7B$
10.2A3.B5.2B2A11BD4B2.7B41.2A3.B5.2B2A11BD4B2.7B$11.A10.18B3.7B42.A
10.18B3.7B$8.3A12.B.3B.5B2.4B3.7B39.3A12.B.3B.5B2.4B3.7B$8.A4.A.2A11.
5B2.4B5.4B41.A6.2A11.5B2.4B5.4B$13.2A.A10.5B13.5B46.A.A9.5B13.5B$16.A
.2A6.5B17.2A48.A8.5B17.2A$16.A2.A5.5B18.A48.A.2A5.5B18.A$14.2ABA6.5B
20.3A45.A2.A4.5B20.3A$13.A.A.2A4.5B23.A43.2ABA5.5B23.A$13.BAB.B4.5B
67.A.A.2A3.5B$7.2A5.5B2.5B68.BAB.B3.5B$8.A6.10B63.2A5.5B.5B$8.A.AB2.
6B2D2B65.A6.9B$9.2AB.7B2DB66.A.AB2.6B2CB$11.12B67.2AB.7B2C$11.12B69.
12B$11.12B69.12B$12.5B2A2B.B2A67.12B$12.5BABA2.BA.A67.5B2A2B.B2A$12.
6BAB5.A67.5BABA2.BA.A$8.2A2.7B6.2A66.6BAB5.A$8.A3.6B71.2A2.7B6.2A$5.
2A.A.7B72.A3.6B$5.A.2A.2A2.4B68.2A.A.7B$10.A4.4B67.A.2A.2A2.4B$10.A.A
3.4B71.A4.4B$11.2A4.4B70.A.A3.4B$18.4B70.2A4.4B$19.4B76.4B$20.4B76.4B
$21.4B76.4B$22.4B76.4B$23.4B76.4B$24.3B77.4B$25.2B78.4B$26.B79.4B$
107.4B$108.4B!
User avatar
dvgrn
Moderator
 
Posts: 4988
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI

Re: H-to-G and H-to-Gn converter collection

Postby simeks » December 21st, 2017, 11:04 am

New H-to-G3:

x = 44, y = 62, rule = LifeHistory
4.3D2.D3.D3.D3.5D3.D4.3D3.3D$3.D3.D.D3.D2.2D5.D4.2D3.D3.D.D$3.D5.D3.D
3.D5.D5.D3.D2.2D.D$4.3D2.D.D.D3.D5.D5.D3.D.D.D.4D$7.D.D.D.D3.D5.D5.D
3.2D2.D.D3.D$3.D3.D.2D.2D3.D5.D5.D3.D3.D.D3.D$4.3D2.D3.D2.3D4.D4.3D3.
3D3.3D4$4.3D2.D3.D8.3D2.5D2.3D4.D$3.D3.D.D3.D7.D3.D3.D3.D3.D2.2D$3.D
5.D3.D11.D3.D7.D3.D$4.3D2.D.D.D.5D4.D4.D6.D4.D$7.D.D.D.D9.D5.D5.D5.D$
3.D3.D.2D.2D8.D6.D4.D6.D$4.3D2.D3.D7.5D3.D3.5D2.3D12$25.2A$18.2A6.A$
18.A5.A$19.3A.A.4A$21.A.A.A2.A$21.3BA3B$22.B.3B$8.2A11.5B$9.A11.6B$9.
A.AB7.8B$10.2AB.3B3.12B$12.19B2A$12.17B.B2A$13.15B3.B$12.15B$10.17B$
8.19B$8.2BC15B$7.3BCBC4B.7B$8.2B3C4B.7B4.2A$7.5BC4B2.6B4.A$6.10B4.4B
2.BA.A$5.7B6.A.2B.B2.B2A$4.7B6.A.A.BA.3B$3.7B8.A3.3AB$2.7B16.A$.7B14.
2AB3A$7B13.A2.A4.A$6B14.2A3.3A$5B19.2A$4B$3B$2B$B!
simeks
 
Posts: 365
Joined: March 11th, 2015, 12:03 pm
Location: Sweden

Re: H-to-G and H-to-Gn converter collection

Postby AbhpzTa » December 21st, 2017, 12:46 pm

simeks wrote:New H-to-G3:

x = 44, y = 62, rule = LifeHistory
4.3D2.D3.D3.D3.5D3.D4.3D3.3D$3.D3.D.D3.D2.2D5.D4.2D3.D3.D.D$3.D5.D3.D
3.D5.D5.D3.D2.2D.D$4.3D2.D.D.D3.D5.D5.D3.D.D.D.4D$7.D.D.D.D3.D5.D5.D
3.2D2.D.D3.D$3.D3.D.2D.2D3.D5.D5.D3.D3.D.D3.D$4.3D2.D3.D2.3D4.D4.3D3.
3D3.3D4$4.3D2.D3.D8.3D2.5D2.3D4.D$3.D3.D.D3.D7.D3.D3.D3.D3.D2.2D$3.D
5.D3.D11.D3.D7.D3.D$4.3D2.D.D.D.5D4.D4.D6.D4.D$7.D.D.D.D9.D5.D5.D5.D$
3.D3.D.2D.2D8.D6.D4.D6.D$4.3D2.D3.D7.5D3.D3.5D2.3D12$25.2A$18.2A6.A$
18.A5.A$19.3A.A.4A$21.A.A.A2.A$21.3BA3B$22.B.3B$8.2A11.5B$9.A11.6B$9.
A.AB7.8B$10.2AB.3B3.12B$12.19B2A$12.17B.B2A$13.15B3.B$12.15B$10.17B$
8.19B$8.2BC15B$7.3BCBC4B.7B$8.2B3C4B.7B4.2A$7.5BC4B2.6B4.A$6.10B4.4B
2.BA.A$5.7B6.A.2B.B2.B2A$4.7B6.A.A.BA.3B$3.7B8.A3.3AB$2.7B16.A$.7B14.
2AB3A$7B13.A2.A4.A$6B14.2A3.3A$5B19.2A$4B$3B$2B$B!


H-to-G0, repeat time 151:
x = 47, y = 54, rule = LifeHistory
.3D2.D3.D8.3D2.5D3.D4.3D3.3D$D3.D.D3.D7.D3.D3.D4.2D3.D3.D.D3.D$D5.D3.
D11.D3.D5.D3.D2.2D5.D$.3D2.D.D.D.5D4.D4.D5.D3.D.D.D3.2D$4.D.D.D.D9.D
5.D5.D3.2D2.D5.D$D3.D.2D.2D8.D6.D5.D3.D3.D.D3.D$.3D2.D3.D7.5D3.D4.3D
3.3D3.3D4$.3D2.D3.D8.3D2.5D2.3D4.D$D3.D.D3.D7.D3.D3.D3.D3.D2.2D$D5.D
3.D11.D3.D7.D3.D$.3D2.D.D.D.5D4.D4.D6.D4.D$4.D.D.D.D9.D5.D5.D5.D$D3.D
.2D.2D8.D6.D4.D6.D$.3D2.D3.D7.5D3.D3.5D2.3D6$23.2A$24.A$24.A.AB$25.2A
B.3B$27.6B$27.6B$25.9B$19.A.2A2.9B$19.2A.A11B$14.2A8.9B$15.A9.8B$15.A
.AB5.9B2.2A.A$16.2AB.15BA.2A$18.16B$18.16B$19.15B$18.15B$16.17B$14.
19B$14.2BC15B$13.3BCBC4B.7B$14.2B3C4B.7B4.2A$13.5BC4B2.6B4.A$12.10B4.
4B2.BA.A$11.4B9.A.2B.B2.B2A$10.4B9.A.A.BA.3B$9.4B11.A3.3AB$8.4B19.A$
8.3B15.4AB3A$8.2B16.A2.A4.A$8.B22.3A$30.2A!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
AbhpzTa
 
Posts: 442
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

Re: H-to-G and H-to-Gn converter collection

Postby dvgrn » December 21st, 2017, 2:06 pm

AbhpzTa wrote:H-to-G0, repeat time 151:
x = 47, y = 54, rule = LifeHistory
.3D2.D3.D8.3D2.5D3.D4.3D3.3D$D3.D.D3.D7.D3.D3.D4.2D3.D3.D.D3.D$D5.D3.
D11.D3.D5.D3.D2.2D5.D$.3D2.D.D.D.5D4.D4.D5.D3.D.D.D3.2D$4.D.D.D.D9.D
5.D5.D3.2D2.D5.D$D3.D.2D.2D8.D6.D5.D3.D3.D.D3.D$.3D2.D3.D7.5D3.D4.3D
3.3D3.3D4$.3D2.D3.D8.3D2.5D2.3D4.D$D3.D.D3.D7.D3.D3.D3.D3.D2.2D$D5.D
3.D11.D3.D7.D3.D$.3D2.D.D.D.5D4.D4.D6.D4.D$4.D.D.D.D9.D5.D5.D5.D$D3.D
.2D.2D8.D6.D4.D6.D$.3D2.D3.D7.5D3.D3.5D2.3D6$23.2A$24.A$24.A.AB$25.2A
B.3B$27.6B$27.6B$25.9B$19.A.2A2.9B$19.2A.A11B$14.2A8.9B$15.A9.8B$15.A
.AB5.9B2.2A.A$16.2AB.15BA.2A$18.16B$18.16B$19.15B$18.15B$16.17B$14.
19B$14.2BC15B$13.3BCBC4B.7B$14.2B3C4B.7B4.2A$13.5BC4B2.6B4.A$12.10B4.
4B2.BA.A$11.4B9.A.2B.B2.B2A$10.4B9.A.A.BA.3B$9.4B11.A3.3AB$8.4B19.A$
8.3B15.4AB3A$8.2B16.A2.A4.A$8.B22.3A$30.2A!

Nice to have another one of these!

We're getting quite close to being able to start with a Herschel and put a NE glider in any possible sufficiently faraway spacetime location to the right, by adding just three components:

either
-- an SW-2 Herschel-to-glider converter plus a couple of Snarks, or
-- one of the G0/G1/G2 tandem-glider converters plus one of the semi-Snarks and a regular Snark, in one order or other (it doesn't always matter, but sometimes it makes a 4-tick difference).

... In fact, we might well be there already. Anyone interested in doing a little stamp-collecting?
User avatar
dvgrn
Moderator
 
Posts: 4988
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI

Re: H-to-G and H-to-Gn converter collection

Postby simeks » December 21st, 2017, 6:31 pm

AbhpzTa wrote:H-to-G0, repeat time 151:

Nice find!
That H-to-G0 has the interesting property of being able to encode which ones of two signals that are present.
Not sure how it can be used, but it's close to an OR-device:

x = 223, y = 39, rule = LifeHistory
28.D.D61.D.D61.C.C61.C.C$28.2D62.2D62.2C62.2C$29.D63.D63.C63.C5$9.2A
62.2A62.2A62.2A$10.A63.A63.A63.A$10.A.A61.A.A61.A.A61.A.A$11.2A62.2A
62.2A62.2A4$5.A.2A60.A.2A60.A.2A60.A.2A$5.2A.A60.2A.A60.2A.A60.2A.A$
2A62.2A62.2A62.2A$.A63.A63.A63.A$.A.A17.2A.A40.A.A17.2A.A40.A.A17.2A.
A40.A.A17.2A.A$2.2A17.A.2A41.2A17.A.2A41.2A17.A.2A41.2A17.A.2A7$2.D
63.C63.D63.C$2.D.D61.C.C61.D.D61.C.C$2.3D16.2A43.3C16.2A43.3D16.2A43.
3C16.2A$4.D16.A46.C16.A46.D16.A46.C16.A$19.A.A61.A.A61.A.A61.A.A$10.A
8.2A53.A8.2A53.A8.2A53.A8.2A$9.A.A2.A58.A.A2.A58.A.A2.A58.A.A2.A$10.A
3.3A57.A3.3A57.A3.3A57.A3.3A$17.A63.A63.A63.A$12.4A.3A56.4A.3A56.4A.
3A56.4A.3A$12.A2.A4.A55.A2.A4.A55.A2.A4.A55.A2.A4.A$17.3A61.3A61.3A
61.3A$16.2A62.2A62.2A62.2A!
simeks
 
Posts: 365
Joined: March 11th, 2015, 12:03 pm
Location: Sweden

Re: H-to-G and H-to-Gn converter collection

Postby dvgrn » December 22nd, 2017, 12:04 am

simeks wrote:That H-to-G0 has the interesting property of being able to encode which ones of two signals that are present.
Not sure how it can be used, but it's close to an OR-device...

More like an XOR, isn't it? At one point I was looking for a direct "exact-timing OR", which would be basically a "glider keeper" along the same lines as a block-keeper. But this mechanism is a toggle -- it puts a glider in a certain spacetime location if it isn't there, or takes it away if it is there.

It's a bit awkward having to deal with the initial first-natural-glider output on the same lane, though. Usually you won't be able to simply run the output through a semi-Snark after the XOR operation, because you won't know how many signals there are. Can anyone think of an existing (simpler?) mechanism that can manage an exact-timing XOR? Obviously we could split the input Herschel and send a signal somewhere to build a spark or a temporary block or something to absorb that first natural glider, but that's going to make the circuit too big and awkward.

EDIT: It turns out we just have to prepend one conduit, an Lx86. It absorbs the Herschel's first natural glider but is transparent to following gliders on half a dozen lanes including that one.
User avatar
dvgrn
Moderator
 
Posts: 4988
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI

Re: H-to-G and H-to-Gn converter collection

Postby simeks » November 11th, 2018, 2:01 pm

New H-to-G, NE13T-7:

x = 50, y = 80, rule = LifeHistory
9.D3.D.5D3.D4.3D2.5D7.5D$9.2D2.D.D6.2D3.D3.D3.D13.D$9.D.D.D.D7.D7.D3.
D12.D$9.D2.2D.3D5.D5.2D4.D3.5D3.D$9.D3.D.D7.D7.D3.D10.D$9.D3.D.D7.D3.
D3.D3.D9.D$9.D3.D.5D2.3D3.3D4.D9.D4$10.3D2.D3.D8.3D2.5D2.3D4.D$9.D3.D
.D3.D7.D3.D3.D3.D3.D2.2D$9.D5.D3.D11.D3.D7.D3.D$10.3D2.D.D.D.5D4.D4.D
6.D4.D$13.D.D.D.D9.D5.D5.D5.D$9.D3.D.2D.2D8.D6.D4.D6.D$10.3D2.D3.D7.
5D3.D3.5D2.3D35$24.A$22.3A$21.A15.B$21.2A13.2B$19.4B12.3B$13.2A3.2AB
5.2A6.4B$12.B2AB2.A.AB3.A.A5.4B$13.3B3.2AB3.A6.4B$14.B4.3B.3A5.4B$12.
5B3.2BAB6.4B$10.9B.2B2A5.4B$9.14B5.4B$9.15B3.4B$10.14B2.4B$10.19B$8.
20B$6.21B$6.2BC17B$5.3BCBC4B.8B.3B$6.2B3C4B2.7B2.2A$5.5BC4B2.6B3.A$4.
10B4.4B5.3A$3.4B11.6B5.A$2.4B11.2B3.2A$.4B12.2AB2.A$4B12.A.A4.3A$3B
11.3A.A.A4.A$2B11.A5.2A$B12.2A!
simeks
 
Posts: 365
Joined: March 11th, 2015, 12:03 pm
Location: Sweden

Re: H-to-G and H-to-Gn converter collection

Postby dvgrn » November 11th, 2018, 7:25 pm

simeks wrote:New H-to-G, NE13T-7...

Nice one! According to the H-to-G stamp collection, which admittedly is a couple of years old and someone should really take it over and get it back up to date --

(and organize it better somehow so the H-to-2Gs and edge shooters and transparent-lane outputs can be found a little more easily)

-- there haven't been any 13's in the collection at all until now, let alone any NE13s. There are relatively few rows in the table in the -15 to +50 range for which that's still true.
User avatar
dvgrn
Moderator
 
Posts: 4988
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI

Previous

Return to Patterns

Who is online

Users browsing this forum: Google [Bot] and 7 guests