True knightship oblique Geminoid working notes

[dvgrn]

... the Snark at H flips over to the NE and here is a pattern that shows how to leave elbow I in a state suitable for the next iteration and turn Snark H into an elbow block...

Yup, I tried a sanity check, replacing the H block with the appropriate Snark, and sent a glider through it which successfully pi-exploded the new I-elbow. Looks good!

Here's a quick rework of the Stage 0 3SP blueprint. At this point in the cycle, A has just finished moving, and B won't be able to start being rebuilt for d/2 ticks yet -- so B's red back-shadowing is changed to a blue fore-shadowing:

Code: Select all

x = 313, y = 317, rule = LifeHistory
32.3D6.3D4.5D10.3D5.D31.3D$31.D3.D4.D3.D3.D4.D8.D3.D4.D30.D3.D$30.D5.
D2.D5.D2.D5.D6.D5.D3.D29.D5.D$36.D2.D8.D5.D6.D7.5D27.D5.D$35.D4.D7.D
4.D8.D8.D4.3D5.2D5.3D7.D5.D$32.3D6.3D4.5D10.3D5.D3.D3.D3.D2.D3.D3.D6.
D5.D$35.D8.D3.D17.D4.D7.D2.D4.D2.D3.D6.D5.D$36.D8.D2.D18.D3.D4.4D2.D
4.D2.4D7.D5.D$30.D5.D2.D5.D2.D12.D5.D3.D3.D3.D2.D4.D2.D10.D5.D$31.D3.
D4.D3.D3.D13.D3.D4.D3.D3.D3.D2.2D2.D3.D7.D3.D$32.3D6.3D4.D14.3D5.D4.
3D.D3.2D.D3.3D9.3D$87.D$87.D$82.D3.D$83.3D17$68.5D$67.D5.D$66.D$66.D$
66.D$66.D$66.D$66.D$66.D$67.D5.D$68.5D4$66.2A$66.A.A$68.A4.2A$64.4A.
2A2.A2.A$64.A2.A.A.A.AB2A$65.2BABABA.AB2.B$65.B.B2ABA.AB.2B$68.2B.BA.
B$67.3B4.B$58.2A6.4B3.B$59.A6.B2A3B$59.ABAB3.B2A4B$60.2AB.10B$60.B.
13B$61.15B$62.15B$64.8B2.4B$64.6B5.4B$63.9B4.4B$62.4B4.2A5.4B$61.4B5.
A7.4B$60.4B7.3A5.4B$59.4B8.B.A6.4B$58.4B10.3B6.4B$57.4B13.B7.4B30$
130.6D$133.D$25.B107.D$24.2B107.D$23.3B107.D$22.4B107.D$21.4B108.D$
20.4B109.D$19.4B110.D$18.4B106.D3.D$17.4B108.3D$16.4B$3.2A10.4B$4.A9.
4B$2.A2.2B6.4B$2.5A5.4B5.2A11.6D82.2C$7.A3.5B5.A12.D5.D81.2C$4.3AB2.
7B.BA.A2B10.D6.D$3.A.2B.B.7B.B2A.B11.D6.D$3.4A12B.B.B11.D6.D$.2A2.BA
3B2A7B.2B12.D6.D$A2.3A2.2B2A7B15.D6.D$2A.A3.B.10B15.D6.D$.B.A3B5.8B
14.D6.D$.2B2A7.9B13.D5.D$4.B8.3B2.4B12.6D53.4B11.4B13.4B$4.2B5.5B3.4B
69.4B11.4B13.4B$11.2A7.4B67.4B11.4B13.4B$12.A8.4B65.4B11.4B13.4B$9.3A
2B8.4B63.4B11.4B13.4B$9.A3.B9.3B62.4B11.4B13.4B$10.3B11.2B61.4B11.4B
13.4B$10.B14.B.B58.4B11.4B13.4B$27.2B56.4B11.4B13.4B$27.3B54.4B11.4B
13.4B$27.4B52.4B11.4B13.4B$28.4B50.4B11.4B13.4B$29.4B48.4B11.4B13.4B$
30.4B46.4B11.4B13.4B$31.4B44.4B11.4B13.4B$32.4B42.4B11.4B13.4B$33.4B
33.2B5.4B4.2B5.4B6.2B5.4B$34.4B32.2B4.4B5.2B4.4B7.2B4.4B$35.4B31.2B3.
4B6.2B3.4B8.2B3.4B$36.4B30.2B2.4B7.2B2.4B9.2B2.4B$37.4B29.2B.4B8.2B.
4B10.2B.4B$38.4B28.6B9.6B11.6B$39.4B27.5B10.5B12.5B$40.4B26.10B5.10B
7.10B$41.4B25.10B5.10B7.10B$42.4B$43.4B$44.4B$45.4B$46.4B$47.4B$48.4B
$49.4B$50.4B46.D$51.4B45.3D$52.4B35.D9.A.D$41.2D3.2D5.4B13.2D19.3D7.
3A$41.2D3.2D6.4B12.D.D19.A.D9.A$42.2A3.2A6.4B12.2A19.3A8.2A5.4B$41.B
2AB.B2AB6.4B11.ADA21.A7.11B2D$34.2D6.2B2.3B3.B4.4B12.A20.2A3.B5.9B2D$
35.D7.3B.3B.4B3.4B11.2A19.8B2.11B2A$35.2AD4.7B.13B11.B21.19B2A$36.AD
4.23B9.3B19.20B$36.A.AB.19B.8B4.6B16.20B$37.2AB.29B2.10B11.21B$39.44B
3.2B2.25B$39.37B2A15BD14B4.4B$39.37B2A15BDBD4B.5B2D5.4B$40.53B3D4B2.B
.2BD2B5.4B$39.2D.53BD4B7.2AD5.4B$40.59B8.A.D6.4B$37.3D2A3.23B2D4.13B.
4B16.3A6.4B$37.D3.A3.20B4.D4.7B.B2.2D.3B19.A7.4B$38.3A6.15B4.3D2A15.D
3B29.4B$38.A8.11B8.D3.A12.3D2A32.4B$46.13B8.3A13.D3.A33.4B$45.15B7.A
16.3A35.4B$45.16B23.A38.4B$45.17B62.4B$45.16B14.2D48.4B$47.13B15.2D
49.4B$44.2D.3B.2B2A5B14.4D49.4B$45.D3B2.2B2A3B16.4D50.4B$42.3D2A3.8B
15.2D2.2D50.4B$42.D3.A4.2B3D3B14.2D2.2D51.4B$43.3A5.3BD4B13.2D4.2D51.
4B$43.A8.2B3D2B13.2D4.2D$42.D.D7.7B12.2D6.2D$42.D.A7.6B13.2D6.2D$40.
3DADA6.6B12.12D$39.D3.A.A6.5B13.12D$40.D3AD2A4.6B13.2D8.2D$40.A.D.DB
6.6B12.2D8.2D$41.3AB2AB3.7B12.2D8.2D$43.A.2AB.8B13.2D8.2D$47.10B4.2D
7.2D8.2D$47.6B2A3B3.D8.2D8.2D$47.6B2A2B2.D.D2A$47.10B2.2D.A$46.11B2.B
A.A83.4B$46.12B.B2A85.2BDB$45.15B88.4B$39.2D3.16B89.2BDB$39.2D2B.16B
90.4B$40.2A18B91.2BDB$40.2AB.17B91.4B$41.2D4B.8B2.4B83.3D5.2BDB$41.2D
5.7B4.4B81.D3.D5.4B$42.2D5.6BD4.4B84.D6.2BDB$42.2D7.4B.D4.4B80.4D7.4B
7.A$43.2D8.3BA5.B3A18.D59.D3.D8.4B6.3A$43.2D9.BA.A5.A2B18.D59.D3.D2.
2D5.4B8.A$44.2D9.ADAD5.A19.D60.3D.D3.D5.4B6.A.A$44.2D10.A.D25.D67.D7.
4B5.A.AB$45.2D10.3A24.D66.3D7.4B5.A3B$45.2D12.A9.D.D.D.D.D6.D77.4B6.
4B$46.2D36.D.3D74.4B5.6B$46.2D21.D.D12.2D3.D74.4B4.7B$84.D5.D74.4B2.
8B.4B$48.D20.D3.D10.D5.D75.17B.B2A$84.2D3.D77.18B2A$49.D19.D5.D8.D.3D
78.16B.4B$167.16B3.2B$50.D18.D7.D89.15B$165.2AB.12B$51.D5.D21.D84.A.A
B2.11B$147.9D8.A5.10B$52.D3.D24.D65.10D6.2A5.2B2A6B$46.D100.2D6.3D11.
3B2A5B$48.D4.D.D27.D63.2D7.3D11.9B$50.D96.2D8.2D11.8B.B2A.A$52.D.D30.
D61.2D8.2D10.7B3.B2AB3A$147.2D7.3D10.6B6.B4.A64.4B$87.D59.2D6.3D12.6B
4.2A.3AB65.4B$147.10D13.5B6.A.A3.B65.4B$90.D.D.D.D.D6.3D39.10D12.6B6.
A.A3B67.4B$104.D3.D38.2D6.3D11.6B7.A.B70.4B$90.D.D15.D38.2D7.3D9.7B9.
B71.4B$105.4D38.2D8.2D9.2B3D2B8.A73.4B$90.D3.D9.D3.D38.2D8.2D9.4BD3B
5.3A74.4B$104.D3.D3.D34.2D8.2D9.3B3D2B4.A3.B74.4B$90.D5.D8.3D.D2.D34.
2D7.3D10.8B3.2A3B75.4B$112.D34.2D6.3D11.3B2A2B2.4B15.9B55.4B$90.D7.D
13.D34.10D10.5B2A2B.3B.2B14.9B56.4B$147.9D11.13B17.4B62.4B$100.B65.
16B15.5B62.4B$100.2B63.17B15.6B62.4B$100.3B39.A23.16B15.2B.4B62.4B$
100.4B36.3A16.A7.15B15.2B2.4B62.4B$101.4B11.A11.A10.A17.3A8.13B16.2B
3.4B62.4B13.A$102.4B10.3A7.3A10.2A15.A12.11B8.A8.2B4.4B62.4B10.3A$
103.4B12.A5.A11.4B15.2A7.15B6.3A8.2B5.4B62.4B8.A3.B$104.4B10.2A4.B2A
9.3B5.B.7B4.B4.20B3.A3.B15.4B62.4B7.2A3B$105.4B9.9B8.4B.13B4.25B3.2A
3B16.4B62.4B3.5B$106.4B10.5B3.59B20.4B62.4B2.3B.2B20.D6.D$107.4B8.6B
2.4BD53B.2B20.4B62.9B7.2A13.D6.D$108.4B7.6B2.4B3D53B22.4B62.8B8.A13.D
6.D$109.4B6.7B.4BDBD15B2A37B9.9B4.4B62.10B3.B.A.2A10.D6.D$110.4B4.15B
D15B2A36B10.9B5.4B61.7B2A2B.B3A2.A10.D6.D$111.4B2.20B2.2B3.43B10.4B
11.4B60.7B2A3BAB2.2A2B9.8D$112.4B.17B11.10B2.29B.B2A7.5B11.4B59.12B4A
3.B9.D6.D$113.19B16.6B4.8B.19B.BA.A6.6B11.4B56.2AB.7B3.2B.A.2B10.D6.D
$114.17B19.B11.23B4.BA6.2B.4B11.4B54.A.A2.7B2.B3A.B12.D6.D$115.16B33.
13B.7B4.B2A5.2B2.4B11.4B53.A.2B2.5B3.A4.B12.D6.D$116.15B21.2A11.2B5.
4B3.B.B9.B5.2B3.4B11.4B51.2AB.B2.4B5.5A12.D6.D$117.7B3.3B.B2A19.A12.B
.2B4.B4.2B3.B6.2B4.2B4.4B11.4B52.B3.4B6.B3.A$118.6B7.BA.A15.3A2B13.2A
7.B2AB.B2AB11.2B5.4B11.4B50.2B2.4B8.BA3B$119.4B10.BA15.A3.B13.A9.2A3.
2A20.4B11.4B52.4B10.2A.B$118.4B11.B2A15.3B15.3A7.2B3.2B20.4B11.4B50.
4B12.B$117.2A16.B15.B18.BA7.2B3.2B21.4B11.4B48.4B13.2B$118.A16.2B34.
3B34.4B11.4B46.4B$115.3A2B53.B35.4B11.4B44.4B$115.A3.B90.4B11.3B43.4B
$116.3B92.4B11.2B42.4B$116.B80.9B6.4B11.B41.4B$197.9B7.4B51.4B$197.4B
13.4B49.4B$197.5B13.4B47.4B$197.6B13.4B$197.2B.4B13.4B$197.2B2.4B13.
4B14.D$197.2B3.4B13.4B13.D$197.2B4.4B13.4B12.D$197.2B5.4B13.4B11.D$
205.4B13.4B10.D$206.4B13.BDBD.D.D.D3.D$207.4B13.4B8.D.3D$208.4B12.DBD
B8.2D3.D$209.4B13.2B8.D5.D12.D$210.4B10.D2.BD7.D5.D.D2.D$211.4B21.2D
3.D2.2D.D5.D$212.4B8.D5.D5.D.3D3.D.2D$213.4B27.D2.D3.D$214.4B6.D7.D$
215.4B30.D$216.4B$217.4B26.D$218.4B$219.4B19.2D$220.4B18.2D$221.4B18.
2A$222.4B17.2A4.5D$223.4B24.D$224.4B23.D$225.3B23.D$226.2B23.D$227.B
23.D$251.D$251.D$251.D$251.D$249.5D!

EDIT: Calcyman has already compiled A and B, but now it looks like B will probably need to be recompiled from a different direction. And there's the same little problem as with the Orthogonoid -- the recipe will have to start with a meteor shower of gliders to whittle away at the A and B circuitry until there's just one likely target left for slmake to start from. Guess I'll think about tackling those problems next.

[dvgrn]

-- Just a quick note to admit that I'm not going to get back to working on Geminoid knightships or oblique Geminoids in general, until after Golly 3.0 comes out. Whenever that is.

Can't resist stirring up a little trouble while I'm posting, though: the Snarkmaker recipe and Scorbie's smaller 90-degree constructor/reflector mean that the older diamond-shaped knightship designs have gotten exponentially cheaper.

This blueprint is still pretty accurate, except that the first of each pair of elbows becomes a temporary Snark, built on the fly by 0-degree gliders:

Code: Select all

x = 122, y = 132, rule = LifeHistory
87.2A$87.2A$85.D$84.D4.D$83.D6.D$82.D8.D$81.D4.D5.D$80.D6.D5.D$79.D8.
D5.D$78.D10.D5.D$77.D12.D5.D$76.D14.D5.D$75.D16.D5.D$74.D18.D5.D$73.D
20.D5.D$72.D22.D5.D$71.D24.D5.D$55.A14.D26.D5.D$54.A.A12.D28.D5.D$53.
A3.A10.D30.D5.D$49.D3.A3.A9.D32.D5.D$49.D2.A5.A7.D34.D5.D$46.D2.D2.A
5.A6.D36.D5.D$42.2A5.D2.7A5.D38.D5.D$42.2A5.D2.A5.A4.D40.D5.D$32.9D2.
D5.D2.A5.A3.D42.D5.D$36.D3.D8.D2.A5.A2.D44.D5.D$35.D4.D8.D10.D46.D5.D
$34.D5.10D9.D48.D5.D4.D$33.D5.2D17.D50.D5.D3.D$32.D5.D.D69.D5.D2.D$
31.D5.D2.D14.2A54.D5.D.D$30.D5.D3.D13.A2.A54.D5.2D$29.D5.D4.D12.A4.A
54.D5.D$28.D5.D17.A6.A54.D4.D$27.D5.D17.A8.A54.D3.D$26.D5.D17.A10.A3.
A45.9D$25.D5.D17.A12.A2.A$24.D5.D17.A14.A.A54.2A$23.D5.D17.A16.2A54.
2A$22.D5.D17.A14.5A$21.D5.D23.4C$20.D5.D26.2C61.D$19.D5.D26.C.C$18.D
5.D26.C2.C$17.D5.D26.C62.D5.D$16.D5.D26.C9.C$15.D5.D26.C$14.D5.D26.C
62.D5.D$13.D5.D26.C15.C$12.D5.D26.C$11.D5.D26.C4.3C55.D5.D$10.D5.D26.
C4.C3.C12.C$9.D5.D26.C9.C$8.D5.D26.C7.4C51.D5.D$7.D5.D26.C7.C3.C15.C
29.D$12.D26.C8.C3.C45.D$11.D26.C10.3C.C44.D2.D5.D$6.2A2.D26.C33.C26.D
$6.2A28.C26.3C32.D$35.C26.C3.C31.D5.D$8.D12.5A36.C3.C7.C11.A11.D$9.D
14.2A36.5C20.A10.D$10.D12.A.A3.4C29.C25.A9.9D$11.D10.A2.A5.2C29.C14.C
11.A$12.D8.A3.A4.C.C30.4C23.A$20.A8.C2.C58.A9.5A$3.4A12.A8.C63.A8.A4.
A$3.A3.A10.A8.C53.C11.A7.A4.A$3.A4.A8.A8.C9.C45.C11.A6.A4.A$3.A4.A7.A
8.C10.C36.C9.C11.A5.5A$3.A4.A7.A9.C9.C36.C10.C10.A5.A4.A$3.A4.A8.A9.C
8.C36.C11.C8.A6.A4.A$3.A4.A9.A9.C7.C.3C32.C10.C8.A7.A4.A$3.A3.A11.A9.
C6.2C3.C27.3C.C9.C8.A8.5A$3.4A13.A9.C5.C5.C25.C3.2C8.C8.A$21.A9.C4.C
5.C24.C5.C7.C4.A3.A6.D$6.9D7.A9.C3.2C3.C25.C5.C6.C5.A2.A8.D$14.D8.A9.
C2.C.3C27.C3.2C5.C6.A.A10.D$14.D9.A9.C34.3C.C4.C7.2A12.D$8.D5.D10.A9.
C41.C8.5A10.D$14.D21.C39.C25.D$14.D22.C37.C27.D$5.D5.D2.D23.C35.C29.D
$14.D24.C33.C31.D$14.D25.C28.C2.C33.D$2.D5.D60.C.C35.D$55.3C11.2C37.D
$43.4C7.C3.C10.4C36.D$5.D37.2C8.C56.D$43.C.C7.C57.D$43.C2.C7.C3.C7.C
45.D$2A45.C7.3C7.C47.D$2A46.C15.C49.D$49.C13.C51.D$2.9D39.C11.C53.D$
2.D3.D44.C9.C50.D$2.D4.D44.C7.C50.D5.2A$2.D5.D44.C5.C50.D6.2A$2.2D5.D
44.C3.C50.D5.D$2.D.D5.D44.C.C50.D5.D$2.D2.D5.D34.5A5.C8.A41.D5.D$2.D
3.D5.D33.2A16.A41.D5.D$2.D4.D5.D32.A.A14.A41.D5.D$8.D5.D31.A2.A12.A
41.D5.D$9.D5.D30.A3.A10.A41.D5.D$10.D5.D34.A8.A41.D5.D$11.D5.D34.A6.A
41.D5.D$12.D5.D34.A4.A41.D5.D$13.D5.D34.A2.A41.D5.D$14.D5.D34.2A41.D
5.D$15.D5.D75.D5.D$16.D5.D73.D5.D$17.D5.D71.D5.D$18.D5.D26.D9.9D24.D
5.D$19.D5.D24.D10.D31.D5.D$20.D5.D22.D4.4A3.D30.D5.D$21.D5.D20.D4.A4.
A2.D5.D23.D5.D$22.D5.D18.D4.A8.D28.D5.D$23.D5.D16.D5.A8.D27.D5.D$24.D
5.D14.D6.A8.D2.D5.D17.D5.D$25.D5.D12.D7.A8.D20.D4.D5.D$26.D5.D10.D8.A
8.D20.D3.D5.D$27.D5.D8.D10.A4.A8.D5.D8.D2.D5.D$28.D5.D6.D12.4A24.D.D
5.D$29.D5.D4.D41.2D5.D$30.D8.D30.D5.D5.D5.D$31.D6.D43.D4.D$32.D4.D44.
D3.D$36.D36.D8.9D$33.2A44.2A$33.2A44.2A!
[[ VIEWONLY THUMBNAIL THUMBSIZE 2 ZOOM 3.5 ]]

Recent experience with the Orthogonoid suggests that designs based on two 180-degree reflectors are generally going to run painfully slowly in Golly, even if they're made as Hashlife-friendly as possible... whereas diamond-shaped designs still have a chance of running like blue blazes.