Code: Select all
x = 5, y = 2, rule = 345/2/4
2A.2A$2A.2A!
Code: Select all
x = 5, y = 2, rule = 345/2/4
2A.2A$2A.2A!
Code: Select all
x = 28, y = 11, rule = 345/2/4
14.A$13.3A6.A$14.A6.3A$22.A$26.A$25.3A$26.A$3.CBA9.CBA$.A2.A2.A2.A2.A
2.A2.A2.A$24A$.A2.A2.A2.A2.A2.A2.A2.A!
Code: Select all
x = 28, y = 11, rule = 345/2/4
15.A$14.3A5.A$15.A5.3A$22.A$26.A$25.3A$26.A$3.CBA9.CBA$.A2.A2.A2.A2.A
2.A2.A2.A$24A$.A2.A2.A2.A2.A2.A2.A2.A!
Code: Select all
x = 34, y = 17, rule = 345/2/4
15.A$14.3A15.A$15.A15.3A$15.A16.A$14.2A16.A$15.A16.2A$15.A16.A$14.3A
5.A9.A$15.A5.3A8.2A$22.A9.A$26.A5.A$25.9A$26.A2.A2.A$3.CBA9.CBA$.A2.A
2.A2.A2.A2.A2.A2.A$24A$.A2.A2.A2.A2.A2.A2.A2.A!
Code: Select all
x = 62, y = 16, rule = 345/2/4
56.A$55.3A$48.A7.A$47.3A6.A$15.A32.A6.3A$14.3A39.A$15.A6.A37.A$15.A5.
3A35.3A$14.3A5.A37.A$15.A10.A10.CBA$25.3A7.A2.A2.A2.A2.A2.A2.A2.A$26.
A7.24A$3.CBA29.A20.A$.A2.A2.A2.A2.A2.A2.A2.A$24A$.A20.A!
Code: Select all
x = 88, y = 88, rule = 345/2/4
2.A$.3A$2A.2A$.2A.2A$2.2A.2A$3.2A.2A$4.2A.2A$5.2A.2A$6.2A.2A$7.2A.2A$
8.2A.2A$9.2A.2A$10.2A.2A$11.2A.2A$12.2A.2A$13.2A.2A$14.2A.2A$15.2A.2A
$16.2A.2A$17.2A.2A$18.2A.2A$19.2A.2A$20.2A.2A$21.2A.2A$22.2A.2A$23.2A
.2A$24.2A.2A$25.2A.2A$26.2A.2A$27.2A.2A$28.2A.2A$29.2A.2A$30.2A.2A$
31.2A.2A$32.2A.2A$33.2A.2A$34.2A.2A$35.2A.2A$36.2A.2A$37.2A.2A$38.2A.
2A$39.2A.2A$40.2A.2A$41.2A.2A$42.2A.2A$43.2A.2A$44.2A.2A$45.2A.2A$46.
2A.2A$47.2A.2A$48.2A.2A$49.2A.2A$50.2A.2A$51.2A.2A$52.2A.2A$53.2A.2A$
54.2A.2A$55.2A.2A$56.2A.2A$57.2A.2A$58.2A.2A$59.2A.2A$60.2A.2A$61.2A.
2A$62.2A.2A$63.2A.3A.AB13.A$64.2A.A2.A.C11.BCB$65.2A.4A13.C$65.A.A.A.
A12.3A$67.2A.2A.A.B7.BC2B$65.3A.A.4A.C5.C2.A.C$65.B.4A.A.2A5.B.4A$66.
C3.2A.A.2ABAC2.A2.A.A$69.2A.A.A.A2.5A2.B$70.2A.3A2.2A.A.2AC$69.B.2A.A
.2A.2A.A$70.C.2A.A.3A.2AB$72.B2.2A.A.2A$72.A.A.2A.2A.2A.B$72.C4A.A.2A
.2AC$73.A.A.4A.A.A$71.B.2A.2A.A.2A.A$70.C.2A.2A.A.2A.3A.C$69.B.A.2A.B
.2A2.A.A$66.B.AC.A2.A4.5A.C$65.A2CAB3A.C3.BC2.A.CB$66.B.AB.A.B$70.C.A
9.C!
Smaller one (and also a plus used to make this a gun):12Glider wrote:Arc ladderCode: Select all
x = 88, y = 88, rule = 345/2/4 2.A$.3A$2A.2A$.2A.2A$2.2A.2A$3.2A.2A$4.2A.2A$5.2A.2A$6.2A.2A$7.2A.2A$ 8.2A.2A$9.2A.2A$10.2A.2A$11.2A.2A$12.2A.2A$13.2A.2A$14.2A.2A$15.2A.2A $16.2A.2A$17.2A.2A$18.2A.2A$19.2A.2A$20.2A.2A$21.2A.2A$22.2A.2A$23.2A .2A$24.2A.2A$25.2A.2A$26.2A.2A$27.2A.2A$28.2A.2A$29.2A.2A$30.2A.2A$ 31.2A.2A$32.2A.2A$33.2A.2A$34.2A.2A$35.2A.2A$36.2A.2A$37.2A.2A$38.2A. 2A$39.2A.2A$40.2A.2A$41.2A.2A$42.2A.2A$43.2A.2A$44.2A.2A$45.2A.2A$46. 2A.2A$47.2A.2A$48.2A.2A$49.2A.2A$50.2A.2A$51.2A.2A$52.2A.2A$53.2A.2A$ 54.2A.2A$55.2A.2A$56.2A.2A$57.2A.2A$58.2A.2A$59.2A.2A$60.2A.2A$61.2A. 2A$62.2A.2A$63.2A.3A.AB13.A$64.2A.A2.A.C11.BCB$65.2A.4A13.C$65.A.A.A. A12.3A$67.2A.2A.A.B7.BC2B$65.3A.A.4A.C5.C2.A.C$65.B.4A.A.2A5.B.4A$66. C3.2A.A.2ABAC2.A2.A.A$69.2A.A.A.A2.5A2.B$70.2A.3A2.2A.A.2AC$69.B.2A.A .2A.2A.A$70.C.2A.A.3A.2AB$72.B2.2A.A.2A$72.A.A.2A.2A.2A.B$72.C4A.A.2A .2AC$73.A.A.4A.A.A$71.B.2A.2A.A.2A.A$70.C.2A.2A.A.2A.3A.C$69.B.A.2A.B .2A2.A.A$66.B.AC.A2.A4.5A.C$65.A2CAB3A.C3.BC2.A.CB$66.B.AB.A.B$70.C.A 9.C!
Code: Select all
x = 77, y = 84, rule = 345/2/4
10.A$9.3A$10.A5$2.A$.3A$2A.2A$.2A.2A$2.2A.2A$3.2A.2A$4.2A.2A$5.2A.2A$
6.2A.2A$7.2A.2A$8.2A.2A$9.2A.2A$10.2A.2A$11.2A.2A$12.2A.2A$13.2A.2A$
14.2A.2A$15.2A.2A$16.2A.2A$17.2A.2A$18.2A.2A$19.2A.2A$20.2A.2A$21.2A.
2A$22.2A.2A$23.2A.2A$24.2A.2A$25.2A.2A$26.2A.2A$27.2A.2A$28.2A.2A$29.
2A.2A$30.2A.2A$31.2A.2A$32.2A.2A$33.2A.2A$34.2A.2A$35.2A.2A$36.2A.2A$
37.2A.2A$38.2A.2A$39.2A.2A$40.2A.2A$41.2A.2A$42.2A.2A$43.2A.2A$44.2A.
2A$45.2A.2A$46.2A.2A$47.2A.2A$48.2A.2A$49.2A.2A$50.2A.2A$51.2A.2A$52.
2A.2A$53.2A.2A$54.2A.2A$55.2A.2A$56.2A.2A$57.2A.2A$58.2A.2A$59.2A.2A$
60.2A.2A$61.2A.2A$62.2A.2A$63.2A.3A.AB$64.2A.A2.A.C$65.2A.4A$65.A.A.A
.A$67.2A.2A.A.B$65.3A.A.4A.C$65.B.4A2.A$66.C3.A.A$69.3A$70.A$69.B$70.
C!
Code: Select all
x = 39, y = 46, rule = 345/2/4
23.2C$23.2B$23.2A14$2.A$.3A.A$2A.2AB$.3A.C$2.A$12.2C23.A$12.2B22.3A$
12.2A4.ABC16.A$18.ABC2$12.2A$12.2B$12.2C15$16.2A$16.2B$16.2C!
Code: Select all
x = 25, y = 22, rule = 345/2/4
.A$3A$.A6$18.CBA$18.CBA$17.CBA$16.CBA$21.2A$20.A2BA$20.B2CB$19.AC2.CA
$19.B4.B$19.C4.C2$19.2A$19.2B$19.2C!
That plus some cleanup gliders:flipper77 wrote:After some more searching, I've found a much more basic, but messier, but I believe there's a chance to clean it up:In the meantime, I'll begin to do more to improve on this.Code: Select all
x = 25, y = 22, rule = 345/2/4 .A$3A$.A6$18.CBA$18.CBA$17.CBA$16.CBA$21.2A$20.A2BA$20.B2CB$19.AC2.CA $19.B4.B$19.C4.C2$19.2A$19.2B$19.2C!
Code: Select all
x = 125, y = 253, rule = 345/2/4
118.2C$118.2B$118.2A30$117.2C$117.2B$117.2A85$101.A$100.3A$101.A4$CBA
$CBA$118.CBA$118.CBA$117.CBA$116.CBA$121.2A$59.CBA58.A2BA$59.CBA58.B
2CB$119.AC2.CA$119.B4.B$119.C4.C2$119.2A$119.2B$45.CBA71.2C$45.CBA41$
117.2A$117.2B$117.2C20$115.2A$115.2B$115.2C44$115.2A$115.2B$115.2C!
To make a large plus with gliders:flipper77 wrote:All I need to finally be able to make this reaction completely out gliders, is a glider construction for the large plus
Code: Select all
x = 41, y = 50, rule = 345/2/4
39.2C$26.CBA10.2B$26.CBA10.2A$5.2C$5.2B$.2C2.2A25.2C$.2B29.2B$.2A29.
2A3$CBA28.CBA$CBA28.CBA19$8.CBA$9.CBA9.CBA$9.CBA9.CBA$20.CBA$25.2A$
24.A2B$24.B2C$24.C9$25.2A$25.2BA$25.2CB$27.C!
Code: Select all
x = 47, y = 108, rule = 345/2/4
43.A$42.3A$41.2A.2A$42.2A.2A$43.3A$44.A$29.A$28.3A$27.2A.2A$26.2A.2A$
27.3A$28.A3$12.A2.A$11.6A$12.A3.2A$12.A4.2A$11.2A5.2A$12.2A5.2A8.A$
13.2A5.2A6.3A$14.2A5.2A6.A$15.2A5.2A$16.2A5.2A$17.2A5.2A13.A$18.2A5.
2A11.3A$19.2A5.2A9.2A.2A$CBA17.2A5.2A9.2A.2A$CBA18.2A5.2A9.3A$22.2A5.
2A9.A$23.2A4.A$24.2A3.A$25.6A$26.A2.A45$34.3C$36.C$34.3C$27.A6.C$26.A
.A5.3C$27.A7$34.3C$36.C$35.2C$27.A8.C$26.3A5.3C$27.A8$34.C.C$34.C.C$
27.A6.3C$26.A.A7.C$27.A8.C2.C.C.C!
Code: Select all
x = 104, y = 47, rule = 345/2/4
8.A$7.3A73.A$8.A73.3A$5.A.2A74.A$4.6A73.2A.A$5.A2.A73.6A$2.A.2A.2A74.
A2.A$.9A73.2A.2A.A$2.A2.A2.A73.9A$83.A2.A2.A4$89.2C$89.2B$89.2A9$99.A
2.A$98.6A$97.2A3.A$96.2A4.A$95.2A5.2A$.A2.A2.A86.2A5.2A$9A84.2A5.2A$.
A.2A.2A84.2A5.2A$4.A2.A83.2A5.2A$3.6A81.2A5.2A$4.A.2A81.2A5.2A$7.A80.
2A5.2A$6.3A78.2A5.2A$7.A78.2A5.2A$85.2A5.2A$84.2A5.2A$85.A4.2A$20.A2.
A61.A3.2A6.A$19.6A59.6A6.3A$20.A2.A61.A2.A8.A$20.A2.A$19.6A$20.A2.A!
Code: Select all
x = 65, y = 45, rule = 345/2/4
10.2C48.2C$10.2B48.2B$10.2A48.2A7$5.2C48.2C$5.2B48.2B$5.2A48.2A7$5.2A
48.2A$5.2B48.2B$5.2C48.2C$2A48.2A$2B48.2B$2C48.2C$13.2A48.2A$13.2B48.
2B$13.2C48.2C10$61.2A$61.2B$61.2C4$11.2A$11.2B$11.2C!
Code: Select all
x = 38, y = 32, rule = 345/2/4
15.BC$14.C7.C2.AC$23.CB.B2.A$23.AC2.5A$18.C2.BC.B.2AC3A$17.B.B.A.C.A
2.A.A$17.AC2A.B.B2.BC$18.B.ACB2.C4.C$21.A.2A5.ABA.A$9.C10.CBCBCB3.BCA
.B.B$19.AB2.B2.C2.AC.2AC3A$20.BCA2.2A2CABC.AC3A$21.A.3A.2A4.B.A$15.C
4.AB.3A.2A4.B.A$16.BA.2ACB2.2A2CABC.AC3A$17.CBCB2.C2.C2.AC.2AC3A$20.B
A3.BC2.BCA.B.B$18.2CA9.ABA.A$18.2B10.C$18.2A8.CB$28.2A$27.ABA$25.ABCA
CB$25.BC.B.CA$23.AC2.A3.BA.A$19.A3.B4A2.C2.B.B$2.A15.A.B4.A.2A2.3AC3A
$.3A13.3AC4.2ACA.BA.5A$2A.2A11.2A.A5.C.B.CA.A2.A$.3A11.A.2A13.C$2.A
13.BC.C$19.CB2.C!
Combining things in the previous posts, I created that reaction completely out of 17 gliders:flipper77 wrote:After a lot of work and searching, I found the most possible, useful and basic reaction that could create the glider salvo that could create long crystals made of plusses:All I need to finally be able to make this reaction completely out gliders, is a glider construction for the large plus, which isn't too far out of reach. I'd like to see improvements in this as I further my searches.Code: Select all
x = 39, y = 46, rule = 345/2/4 23.2C$23.2B$23.2A14$2.A$.3A.A$2A.2AB$.3A.C$2.A$12.2C23.A$12.2B22.3A$ 12.2A4.ABC16.A$18.ABC2$12.2A$12.2B$12.2C15$16.2A$16.2B$16.2C!
Code: Select all
x = 69, y = 183, rule = 345/2/4
26.2C$26.2B$26.2A10$28.2C$28.2B$28.2A19$46.2C$46.2B$46.2A19$35.2C$35.
2B$35.2A4$47.2C$47.2B$47.2A$43.2C$43.2B$43.2A11$29.2C$29.2B$29.2A7$
24.2C$24.2B$24.2A6$67.A$24.2A40.3A$24.2B41.A$24.2C$19.2A$19.2B$19.2C$
32.2A$32.2B$32.2C16$30.2A$30.2B$30.2C9$46.2A$46.2B$46.2C6$35.2A$35.2B
$35.2C15$39.2A$39.2B$39.2C12$2A$2B$2C10$25.2A$25.2B$25.2C!
Code: Select all
x = 8, y = 5, rule = 345/2/4
5.A$.A3.3A$.6A$3A3.A$2.A!
Code: Select all
x = 12, y = 6, rule = 345/2/4
9.A$5.A3.3A$.A3.6A$.6A3.A$3A3.A$2.A!
Code: Select all
x = 19, y = 11, rule = 345/2/4
5.ABC$5.ABC$6.3A$6.AB.B2ABC$6.BCACBAC2.BCA$5.A.C.A4.AB2A$.A.A2.B2.3A
5.AB$2AB3A2.2A.3ABC.CA$4A.2AC.C2A.CBA$.A.C.C.B.B.B$4.B3.A.A!
Code: Select all
x = 9, y = 12, rule = 345/2/4
5.AB$5.AB5$2.A$5A.A$3A.3A.A$2.BA2BA$3.A3.A$6.A!
Code: Select all
x = 26, y = 14, rule = 345/2/4
.B3.C11.A3.B$C.CA.A3.B2.ACA.B.B.C.C.A$.C.BA.3A.3A.3A.3A.4A$.B2.3A.3A.
3A.3A.3AB2A$.CBCA.B.B.C.C2.A3.B2.A.A$7.A3.B3.C3$7.A3.B3.C$.CBCA.B.B.C
.C2.A3.B2.A.A$.B2.3A.3A.3A.3A.3AB2A$.C.BA.3A.3A.3A.3A.4A$C.CA.A3.B2.A
CA.B.B.C.C.A$.B3.C11.A3.B!
Code: Select all
x = 135, y = 12, rule = 345/2/4
102.A2.A24.A2.A$101.34A$.A2.A24.A2.A69.A3.A2.A2.A2.A2.A.A2.A2.A2.A3.A
$34A$.A3.A2.A2.A2.A2.A.A2.A2.A2.A3.A5$129.A$128.3A$129.A!
Code: Select all
x = 96, y = 58, rule = StarWars
6.BC13.2A$6.C13.A2B$19.AB2CA$18.ABC2.BA$17.ABC2.ACB$16.ABC3.B.C$15.AB
C4.C$14.ABC$13.ABC13.2A$12.ABC13.A2B$11.ABC13.AB2CA$10.ABC13.ABC2.BA$
9.ABC13.ABC2.ACB$8.ABC13.ABC3.B.C$8.ABC13.ABC3.C3.AB$9.ABC21.CBC$22.B
9.BC3.2A$21.C.C.ABC2.C6.AB$14.A6.A.A.CBA2C3.2A.2ACA$4.A.C6.BCBA3.BC3A
2.A3.CBCB2A.2AC2.C2.BC.A$4.BA.B4.C3.CB3.A2.CB2.BC.B2.AC.A.B2.A2.AC.AB
2A$5.3A4.ABC.C2A2.2A6.C2.2A4.A2.2ABCAB.AB2A$5.A.C2.B2.A2.CBA2.A7.A.A.
A3.A.A.A.A.A.A.A$4.C2A.A.C5A.B.31A$6.ABA2B.A.A.C2ABC.A.A.A.A.A.A3.A.A
.A.A.A.A.A$5.C.2A2.C.A2.B5.C.C2.A.2A.A.2CB.B.C2.2A$7.C2.BAB.BC7.BABCB
2A.CB2A2.ACBABCA$7.C.C4.B7.A.A.2A.A3.CBA4.3ABA$8.BABC.CBA5.BC10.CBA6.
2A$9.A.ABA8.C8.CB$22.C9.BA$21.C.B8.C$24.C4.BC.C$6.C18.B.C2.C2.C$5.CB
12.C3.CAC.ABA.BA$3.2CBA15.B.B3.A.2A$3.2BA16.CA2.ABCBCBA.ABC.ABC.ABC.A
$C2.2A13.BC6.AB5.ABC.ABC.ABC.AB2A$B2C13.CABC8.C4.ABC.ABC.ABC.AB2A$A2B
15.ABC11.C.ABC.ABC.ABC.A$.2A2$3.CA$3.CA11$81.ABC.ABC.ABC.A$80.ABC.ABC
.ABC.AB2A$80.ABC.ABC.ABC.AB2A$81.ABC.ABC.ABC.A!
Code: Select all
x = 231, y = 159, rule = 345/2/4
59.2A11.2A$54.2A3.2A11.2B83.2A11.2A$54.2B2.A2BA9.A2CA82.2B11.2A3.2A$
53.A2C3.2A10.B2.B81.A2CA9.A2BA2.2B$53.B4.C2.C9.C2.CA80.B2.B10.2A3.2CA
$53.CA3.B2CB13.B79.AC2.C9.C2.C4.B$54.B.3A2BA12.AC79.B13.B2CB3.AC$53.A
C2A2.2A13.B80.CA12.A2B3A.B$52.AB2.2AC2.C12.CA80.B13.2A2.2ACA$51.ABC3A
2.2CB13.B79.AC12.C2.C2A2.BA$51.BC.A.3A2BA12.AC79.B13.B2C2.3ACBA$50.AC
.AC2A2.2A9.2A2.B80.CA12.A2B3A.A.CB$50.B2.BA.2AC2.C8.2B2.CA80.B2.2A9.
2A2.2ACA.CA$49.AC3A.2A.A2CB8.2C3.B79.AC2.2B8.C2.C2A.AB2.B$49.B.B4.2A
2.BA12.AC79.B3.2C8.B2CA.2A.3ACA$49.CAC3.2A.C11.2A2.B80.CA12.AB2.2A4.B
.B$56.2A3.C8.2B2.CA80.B2.2A11.C.2A3.CAC$50.2C2.C2A.A2CB8.2C3.B79.AC2.
2B8.C3.2A$51.B3A.2AC2.2A11.AC79.B3.2C8.B2CA.2AC2.2C$53.BC2A.A.2CB11.B
80.CA11.2A2.C2A.3AB$52.AB2.3A2.BA11.CA80.B11.B2C.A.2ACB$53.CB2A.B2.C
13.B79.AC11.AB2.3A2.BA$53.A2.2A3.C13.C79.B13.C2.B.2ABC$54.B2A.A2.C93.
C13.C3.2A2.A$53.AC.3AB.CBA105.C2.A.2AB$54.B2A.C.C.BA103.ABC.B3A.CA$
53.2A.3AB.C105.AB.C.C.2AB$45.ABC4.B3.A.A110.C.B3A.2A$44.A.A4.C.C2.2A
114.A.A3.B4.CBA$43.3ACA3.C3.2A.C114.2A2.C.C4.A.A$43.3AC2A.CB2.B.2A9.C
BA102.C.2A3.C3.AC3A$39.ABC3.B.B.BA4.2A.ABA6.CBA91.ABC9.2A.B2.BC.2AC3A
$39.ABC4.A.A7.2ACA101.ABC6.ABA.2A4.AB.B.B3.CBA$41.ABC9.CB2A2.BA110.AC
2A7.A.A4.CBA$44.ABC6.A2.3A.C19.2A88.AB2.2ABC9.CBA$44.ABC7.B2A.A21.2BA
66.2A19.C.3A2.A6.CBA$45.ABC6.C.2A.AB12.CBA4.2CB65.A2B21.A.2AB7.CBA$
54.3A.A.C12.CBA6.C65.B2C4.ABC12.BA.2A.C6.CBA$54.B.3A89.C6.ABC12.C.A.
3A$53.A.2A.C113.3A.B$52.BC2.2A114.C.2A.A$51.A.CB2A2.CB112.2A2.CB$52.B
A3.B2A19.CBA88.BC2.2ABC.A$33.A16.C.A2C2.A.A19.CBA67.ABC19.2AB3.AB$34.
B12.AB2CB5.C.2A88.ABC19.A.A2.2CA.C16.A$33.AC3.C6.A.A2.B2.C2.A.2A.A
108.2A.C5.B2CBA12.B$44.3ACA7.3A.B108.A.2A.A2.C2.B2.A.A6.C3.CA$34.C.C
7.5A3.A.C2A2.C.A108.B.3A7.AC3A$33.B12.A2.B.2BA2.2A.2B24.CBA81.A.C2.2A
C.A3.5A7.C.C$49.C.2C.B2A2.CA24.CBA55.ABC24.2B.2A2.A2B.B2.A12.B$35.C
15.B2.A.2A85.ABC24.AC2.2AB.2C.C$52.C2ACA.2A113.2A.A2.B15.C$54.A.2ABA
111.2A.AC2AC$54.ABA.C112.AB2A.A$53.AB.3A113.C.ABA$55.C2.B113.3A.BA$
57.C114.B2.C$51.C9.B111.C$56.C3.C.C106.B9.C$54.CB112.C.C3.C$175.BC$
34.CB2.C17.C3.C$34.BA18.C.BA6.CBA103.C3.C17.C2.BC$34.2C17.B.2A8.CBA
96.ABC6.AB.C18.AB$35.B18.A.3A6.CBA95.ABC8.2A.B17.2C$33.C17.C2.BCA.B
104.ABC6.3A.A18.B$54.A.2A114.B.ACB2.C17.C$52.C2A.A13.CBA9.CBA88.2A.A$
52.B.A.A.C9.CBA.CBA7.CBA61.ABC9.ABC13.A.2AC$54.B2A2.C13.CBA70.ABC7.AB
C.ABC9.C.A.A.B$54.A.3A16.CBA77.ABC13.C2.2AB$56.A.B17.CBA74.ABC16.3A.A
$56.3A19.CBA71.ABC17.B.A$55.2A21.CBA69.ABC19.3A$56.3A.A5.BA8.CBA71.AB
C21.2A$56.A.2AB4.C.CB6.CBA74.ABC8.AB5.A.3A$56.2A.A9.C2.BC.A77.ABC6.BC
.C4.B2A.A$45.2C9.A.ABA6.C.C.A.CBA79.A.CB2.C9.A.2A$45.2B9.A.CA8.BABC.A
B80.ABC.A.C.C6.ABA.A9.2C$45.2A8.2A12.A5.CBA78.BA.CBAB8.AC.A9.2B$56.A
19.CBA74.ABC5.A12.2A8.2A$56.A8.CBA9.CBA72.ABC19.A$42.ABC7.A3.2A7.CBA
10.CBA70.ABC9.ABC8.A$41.ABC.ABC4.3B2A6.BC.A.C.ABC.ABC.A.CBA67.ABC10.A
BC7.2A3.A7.CBA$39.ABC.ABC.ABC.A2C2.3A4.ACB4.CBA.CBA.CBA.CBA63.ABC.A.C
BA.CBA.C.A.CB6.2A3B4.CBA.CBA$39.ABC2.ABC2.ABC2.C2A.2A.C2.BA3.CBA.CBA.
CBA3.CBA60.ABC.ABC.ABC.ABC4.BCA4.3A2.2CA.CBA.CBA.CBA$45.ABC8.A.A.C2.C
A3.CBA.CBA.CBA5.CBA58.ABC3.ABC.ABC.ABC3.AB2.C.2A.2AC2.CBA2.CBA2.CBA$
46.ABC5.B2A.A.B.CB3.CBA.CBA.CBA7.CBA56.ABC5.ABC.ABC.ABC3.AC2.C.A.A8.C
BA$47.ABC3.CA.3ACA5.CBA.CBA.CBA9.CBA54.ABC7.ABC.ABC.ABC3.BC.B.A.2AB5.
CBA$48.ABC.B.AB.A.B26.CBA53.ABC9.ABC.ABC.ABC5.AC3A.AC3.CBA$49.ABCAC2.
C.A83.ABC26.B.A.BA.B.CBA$51.AB119.A.C2.CACBA$178.BA2$45.ABC$44.ABC
136.CBA$3.B19.ABC18.ABC137.CBA$.C182.CBA18.CBA19.B$229.C8$56.2A$55.A
2B115.2A$55.B2CA114.2BA$54.AC2.BA112.A2CB$54.B3.CB111.AB2.CA$53.AC4.C
111.BC3.B$53.B117.C4.CA$52.AC123.B$52.B3.2A119.CA$52.C3.2BA114.2A3.B$
55.A2CB14.CBA96.A2B3.C$55.B2.C16.CBA77.ABC14.B2CA$54.ACA19.CBA74.ABC
16.C2.B$53.AB.BA18.CBA73.ABC19.ACA$53.BC.CB16.CBA75.ABC18.AB.BA$52.2A
C.BC10.CBA.CBA79.ABC16.BC.CB$53.BC4.C6.C.A.CBA83.ABC.ABC10.CB.C2A$56.
CA2.B7.CBA87.ABC.A.C6.C4.CB$55.A2B.C100.ABC7.B2.AC$56.A114.C.2BA$56.A
117.A$55.2A117.A$56.A117.2A$ABC53.A117.A$BC51.AB.2A116.A53.CBA$2.BA.C
46.A.ABA116.2A.BA51.CB$BC2.B38.ABC6.B2A.3A115.ABA.A46.C.AB$.ABC38.ABC
6.A.A.2A.2A112.3A.2AB6.CBA38.B2.CB$40.ABC9.BC2.A.A112.2A.2A.A.A6.CBA
38.CBA$C39.ABC9.AB.2A.A113.A.A2.CB9.CBA$BC16.2A21.ABC.ABC6.C.3AC112.A
.2A.BA9.CBA39.C$ABC15.2B23.ABC.A.C5.B.A.B111.C3A.C6.CBA.CBA21.2A16.CB
$.ABC14.2C25.ABC8.A.A112.B.A.B5.C.A.CBA23.2B15.CBA$3.ABC40.ABC123.A.A
8.CBA25.2C14.CBA$47.ABC132.CBA40.CBA$48.ABC130.CBA$49.AB2C127.CBA$50.
A2B125.2CBA$51.2A125.2BA$178.2A$55.C$55.B2C117.C$55.A2B115.2CB$56.2A
115.2BA$11.2A160.2A$11.2B43.2C160.2A$11.2C43.2B115.2C43.2B$53.5A115.
2B43.2C$53.2B118.5A$52.A2CA120.2B$52.B2.B119.A2CA$52.C2.C119.B2.B$
175.C2.C!
The portion of the plane filled is any area that will eventually be encompassed. For most breeders, this is everything beyond a certain line (which is ALWAYS half the plane). If there are more than two boundary lines, the filled area will be reduced accordingly.For some breeders it is simpler to calculate the filled area than others; in particular, isosceles, right, and equilateral triangles are easy, but scalene triangles are hard, and other polygons are much harder.
OK, thanks. I guess I wasn't thinking when I made those calculations, and thanks for correcting them.137ben wrote:The first breeder fills half the plane (everything above the center line) with a density of 3/16. The second fills the entire plane, with density 1/32
For a polygon with vertices {(x1,y1),(x2,y2), ... ,(xn,yn)}, you can use this formula:but scalene triangles are hard, and other polygons are much harder
Code: Select all
x = 25, y = 14, rule = 345/2/4
2.C4.C$7.B9.C4.C$7.AC8.B$8.B7.CA$7.CA7.B$2.A4.B8.AC$.BAB2.CA9.B4.A$.
3CA.B10.AC2.BAB$C3.BCA11.B.A3C$B3A.B12.ACB3.C$A.2B2A13.B.3AB$.3A15.2A
2B.A$2.2A17.3A$21.2A!
Code: Select all
x = 32, y = 76, rule = 345/2/4
2B$2A61$9.C4.C$14.B9.C4.C$14.AC8.B$15.B7.CA$14.CA7.B$9.A4.B8.AC$8.BAB
2.CA9.B4.A$8.3CA.B10.AC2.BAB$7.C3.BCA11.B.A3C$7.B3A.B12.ACB3.C$7.A.2B
2A13.B.3AB$8.3A15.2A2B.A$9.2A17.3A$28.2A!
Code: Select all
x = 356, y = 136, rule = 345/2/4
10.ABC$8.ABC.A3.A$2.ABC.ABC2.BA.ABCBA$ABC.ABC2.BA.CB2.CA$ABC3.ABC.A.C
B2.2A$8.ABC2.BA.CA$10.ABC.A.CB2.CB7.BA$12.ABC2.BA.C2ACBA2.CACB$14.ABC
.A.CBA.CB2.B2.CA8.C$16.ABC2.BA.C2AC2.CBA2.2A5.B$18.ABC.A.CBA.2B2.B2.
2B4.AC$20.ABC2.BA.CA.2CA.2C2.C2.2BA$22.ABC.A.CB2.B7.BACA21.CBA21.CBA
21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA$
24.ABC2.BA.CA.2C.2C2.CB21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.C
BA21.CBA21.CBA21.CBA21.CBA21.CBA$26.ABC.A.CBA.B.C4.BA$28.ABC2.BA.CA4.
AC$30.ABC.A.CBA4.2BA$32.ABC2.BA.CB.CA9.C$34.ABC.A.CB2.CB9.BA$36.ABC2.
BA.C2ACBA2.C.BCBA$38.ABC.A.CBA.CB5.CBA7.CBA21.CBA21.CBA21.CBA21.CBA
21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA$40.ABC2.BA.C2A3.CB.A
7.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.C
BA21.CBA$42.ABC.A.CBA.AB2.B$44.ABC2.BA.CB.2CA.C$46.ABC.A.CB2.B9.CBA$
48.ABC2.BA.CA.2C5.CB$50.ABC.A.CBA.B.C4.BA9.C$52.ABC2.BA.CA4.AC$54.ABC
.A.CBA4.2BA8.2CB8.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA
21.CBA21.CBA21.CBA$56.ABC2.BA.CB.CA10.BA8.CBA21.CBA21.CBA21.CBA21.CBA
21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA$58.ABC.A.CB2.CB6.BC.C$60.A
BC2.BA.C2ACBA2.C2.C$62.ABC.A.CBA.CB5.CB8.C$64.ABC2.BA.C2A3.CB.A8.B$
66.ABC.A.CBA.AB2.B8.AC$68.ABC2.BA.CB.2CA.C6.2BA$70.ABC.A.CB2.B9.CA21.
CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA$72.AB
C2.BA.CA.2C5.CB21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA
21.CBA21.CBA$74.ABC.A.CBA.B.C4.BA$76.ABC2.BA.CA4.AC$78.ABC.A.CBA4.2BA
$80.ABC2.BA.CB.CA9.C$82.ABC.A.CB2.CB9.BA$84.ABC2.BA.C2ACBA2.C.BCBA$
86.ABC.A.CBA.CB5.CBA7.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA
21.CBA21.CBA21.CBA$88.ABC2.BA.C2A3.CB.A7.CBA21.CBA21.CBA21.CBA21.CBA
21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA$90.ABC.A.CBA.AB2.B$92.ABC2.BA.CB
.2CA.C$94.ABC.A.CB2.B9.CBA$96.ABC2.BA.CA.2C5.CB$98.ABC.A.CBA.B.C4.BA
9.C$100.ABC2.BA.CA4.AC$102.ABC.A.CBA4.2BA8.2CB8.CBA21.CBA21.CBA21.CBA
21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA$104.ABC2.BA.CB.CA10.BA8.CBA21.CB
A21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA$106.ABC.A.CB2.CB6.B
C.C$108.ABC2.BA.C2ACBA2.C2.C$110.ABC.A.CBA.CB5.CB8.C$112.ABC2.BA.C2A
3.CB.A8.B$114.ABC.A.CBA.AB2.B8.AC$116.ABC2.BA.CB.2CA.C6.2BA$118.ABC.A
.CB2.B9.CA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA$120.
ABC2.BA.CA.2C5.CB21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.C
BA$122.ABC.A.CBA.B.C4.BA$124.ABC2.BA.CA4.AC$126.ABC.A.CBA4.2BA$128.AB
C2.BA.CB.CA9.C$130.ABC.A.CB2.CB9.BA$132.ABC2.BA.C2ACBA2.C.BCBA$134.AB
C.A.CBA.CB5.CBA7.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA$
136.ABC2.BA.C2A3.CB.A7.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA
21.CBA$138.ABC.A.CBA.AB2.B$140.ABC2.BA.CB.2CA.C$142.ABC.A.CB2.B9.CBA$
144.ABC2.BA.CA.2C5.CB$146.ABC.A.CBA.B.C4.BA9.C$148.ABC2.BA.CA4.AC$
150.ABC.A.CBA4.2BA8.2CB8.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CB
A$152.ABC2.BA.CB.CA10.BA8.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.C
BA$154.ABC.A.CB2.CB6.BC.C$156.ABC2.BA.C2ACBA2.C2.C$158.ABC.A.CBA.CB5.
CB8.C$160.ABC2.BA.C2A3.CB.A8.B$162.ABC.A.CBA.AB2.B8.AC$164.ABC2.BA.CB
.2CA.C6.2BA$166.ABC.A.CB2.B9.CA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA
21.CBA$168.ABC2.BA.CA.2C5.CB21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CB
A$170.ABC.A.CBA.B.C4.BA$172.ABC2.BA.CA4.AC$174.ABC.A.CBA4.2BA$176.ABC
2.BA.CB.CA9.C$178.ABC.A.CB2.CB9.BA$180.ABC2.BA.C2ACBA2.C.BCBA$182.ABC
.A.CBA.CB5.CBA7.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA$184.ABC2.BA.C
2A3.CB.A7.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA$186.ABC.A.CBA.AB2.B
$188.ABC2.BA.CB.2CA.C$190.ABC.A.CB2.B9.CBA$192.ABC2.BA.CA.2C5.CB$194.
ABC.A.CBA.B.C4.BA9.C$196.ABC2.BA.CA4.AC$198.ABC.A.CBA4.2BA8.2CB8.CBA
21.CBA21.CBA21.CBA21.CBA21.CBA$200.ABC2.BA.CB.CA10.BA8.CBA21.CBA21.CB
A21.CBA21.CBA21.CBA$202.ABC.A.CB2.CB6.BC.C$204.ABC2.BA.C2ACBA2.C2.C$
206.ABC.A.CBA.CB5.CB8.C$208.ABC2.BA.C2A3.CB.A8.B$210.ABC.A.CBA.AB2.B
8.AC$212.ABC2.BA.CB.2CA.C6.2BA$214.ABC.A.CB2.B9.CA21.CBA21.CBA21.CBA
21.CBA21.CBA$216.ABC2.BA.CA.2C5.CB21.CBA21.CBA21.CBA21.CBA21.CBA$218.
ABC.A.CBA.B.C4.BA$220.ABC2.BA.CA4.AC$222.ABC.A.CBA4.2BA$224.ABC2.BA.C
B.CA9.C$226.ABC.A.CB2.CB9.BA$228.ABC2.BA.C2ACBA2.C.BCBA$230.ABC.A.CBA
.CB5.CBA7.CBA21.CBA21.CBA21.CBA21.CBA$232.ABC2.BA.C2A3.CB.A7.CBA21.CB
A21.CBA21.CBA21.CBA$234.ABC.A.CBA.AB2.B$236.ABC2.BA.CB.2CA.C$238.ABC.
A.CB2.B9.CBA$240.ABC2.BA.CA.2C5.CB$242.ABC.A.CBA.B.C4.BA9.C$244.ABC2.
BA.CA4.AC$246.ABC.A.CBA4.2BA8.2CB8.CBA21.CBA21.CBA21.CBA$248.ABC2.BA.
CB.CA10.BA8.CBA21.CBA21.CBA21.CBA$250.ABC.A.CB2.CB6.BC.C$252.ABC2.BA.
C2ACBA2.C2.C$254.ABC.A.CBA.CB5.CB8.C$256.ABC2.BA.C2A3.CB.A8.B$258.ABC
.A.CBA.AB2.B8.C$260.ABC2.BA.CB.2CA.C$262.ABC.A.CB2.B$264.ABC2.BA.CA.
2C$266.ABC.A.CB2.B$268.ABC!
Code: Select all
x = 91, y = 22, rule = 345/2/4
45.CBA$11.ABC28.BC3.CBA$11.ABC5.ABC19.C2.BCBA.CBA$13.ABC.ABC2.BA16.BC
BA.A3.A.CBA$15.ABC2.BA.CBA15.A5.C.CB2.CBA$17.ABC.A.CBA22.BA.ABA.CBA$
19.ABC31.C3.CBA$20.ABC32.C.A.CBA$53.C2.BC.A.CBA$59.CBA.CBA$34.2A29.CB
A$34.2B8.B22.CBA$33.A2C7.2C24.CBA$32.B4.AC.BCAB3.A19.A.A.A$32.2A2.A.A
.A.A.2A2B2A17.BA.2B2A13.CBA$CBA28.C18A18.C5A13.CBA$C.A$C.AB87A$C.AB
87A$C.A$CBA84.CBA$87.CBA!
Code: Select all
x = 86, y = 68, rule = 345/2/4
.2A$3A$.2BA$3A$.A.C$.C2B$2.2A$2.C$C.BC8$17.2A$16.3A$17.2BA$16.3A$17.A
.C$17.C2B$18.2A$18.C$16.C.BC8$33.2A$32.3A$33.2BA$32.3A$33.A.C$31.2AC
2B$30.B.B3A$29.A2CA.C$30.B2.B24.CBA$31.A2C24.CBA$32.B23.CBA$35.C4.ABC
$33.2CB4.ABC$33.2BA5.ABC13.B$33.2A8.BC3.C7.C.C$34.C2.2A4.B.B.AB2.C$
36.A2BA2.ABCBAC.2A4.CB.CACBA$33.C.CAC.CB.C4.B2.2A.C.C2.AB.ACB$34.2A.A
.A3.A.A.A.A.A.A.A.A.A.A.A.A$35.B4ABCB25A$34.CA12.A.A.A3.A.A.A.A.A.A.A
$40.B2AC2.CBA2.A.BCB.A2.C2.A.AC3A$39.C.A.BAC2.A.ABC.A.ACABC.BC.AC3A$
41.C.CAB.B2.3A2.ABA.A3.2B.A.A$42.B3.C2A2.BC.C.2A7.CBA$46.A.BA2.CB.C7.
CBA$46.B.2C2.A2B$45.2C.B2.C3A$29.ABC13.AB3.CB30.CBA$28.CB.C13.ABC34.C
BA$29.B.A$29.BC55A$29.BC55A$29.B.A$28.CBA51.CBA$82.CBA!
Code: Select all
x = 60, y = 14, rule = 345/2/4
56.CBA$2.CBA51.CBA$2.C.A$2.C.AB54A$2.C.AB54A$A.B.B$ABA53.CBA$ABA53.CB
A$A.B.B$2.C.AB54A$2.C.AB54A$2.C.A$2.CBA51.CBA$56.CBA!
Code: Select all
x = 60, y = 20, rule = 345/2/4
56.CBA$2.CBA51.CBA$2.C.A$2.C.AB54A$2.C.AB54A$A.B.B$ABA53.CBA$ABA53.CB
A$A.B.B$2.C.AB54A$2.C.AB54A$A.B.B$ABA53.CBA$ABA53.CBA$A.B.B$2.C.AB54A
$2.C.AB54A$2.C.A$2.CBA51.CBA$56.CBA!
Code: Select all
x = 29, y = 8, rule = 345/2/4
25.CBA$A24.CBA$.A$.28A$.28A2$25.CBA$25.CBA!
Code: Select all
x = 3, y = 10, rule = 345/2/4
.B$.A$.A2$3A$3A2$.A$.A$.B!
Code: Select all
x = 21, y = 21, rule = 345/2/4
.A2.A2.A2.A2.A2.A2.A$21A$.A17.A$.A17.A$2A17.2A$.A17.A$.A17.A$2A17.2A$
.A17.A$.A17.A$2A17.2A$.A17.A$.A17.A$2A17.2A$.A17.A$.A17.A$2A17.2A$.A
17.A$.A17.A$21A$.A2.A2.A2.A2.A2.A2.A!
Code: Select all
x = 13, y = 13, rule = 345/2/4
2.A7.A$.11A$2A.7A.2A$.2A7.2A$.2A7.2A$.2A7.2A$.2A7.2A$.2A7.2A$.2A7.2A$
.2A7.2A$2A.7A.2A$.11A$2.A7.A!
Code: Select all
x = 3, y = 64, rule = 345/2/4
3A$3A$2A$2A$3A$3A15$3A$3A$2A$2A$3A$3A$2A$2A$3A$3A21$3A$3A$2A$2A$3A$3A
$2A$2A$3A$3A$2A$2A$3A$3A!
Code: Select all
x = 72, y = 48, rule = 345/2/4
5$18.3A$18.3A$5.CA11.2A$5.2BA10.2A$6.CBA9.3A$6.CBA9.3A$5.2BA10.2A$5.C
A11.2A$18.3A$18.3A$18.2A$18.2A$18.3A$18.3A$18.2A$18.2A$18.3A$18.3A46.
3A$18.2A47.3A$18.2A22.CA23.2A$18.3A21.2BA22.2A$18.3A22.CBA21.3A$18.2A
23.CBA21.3A$18.2A22.2BA22.2A$18.3A21.CA23.2A$18.3A46.3A$18.2A47.3A$
18.2A$18.3A$18.3A$18.2A$18.2A$18.3A$18.3A$.CA15.2A$.2BA14.2A$2.CBA13.
3A$2.CBA13.3A$.2BA14.2A$.CA15.2A$18.3A$18.3A!
Code: Select all
x = 3, y = 23, rule = 345/2/4
3A$3A$2A$2A$3A$3A$2A$2A$3A$3A4$3A$3A$2A$2A$3A$3A$2A$2A$3A$3A!
Code: Select all
x = 13, y = 13, rule = 345/2/4
.11A$2A.A2.A2.A.2A$A2.A2.A2.A2.A$13A$A2.A5.A2.A$A2.A5.A2.A$4A5.4A$A2.
A5.A2.A$A2.A5.A2.A$13A$A2.A2.A2.A2.A$2A.A2.A2.A.2A$.11A!