## B345/S23/C4

For discussion of other cellular automata.

### B345/S23/C4

This rule actually has a small and fairly common knightship. Here is a similarly small pattern collection:
`x = 230, y = 186, rule = 23/345/4110.BC\$109.A\$110.A2.A\$111.ABA\$111.3A24\$84.2A\$84.3A\$85.C2A\$85.2A\$81.C41\$117.CB\$119.2A\$116.C2.BA\$.A115.CA.BA\$A.A116.BA\$.A116.3A14\$118.2A\$117.C2A\$117.A2.A\$117.C2A\$118.2A86\$227.A\$226.A.A\$227.A.A\$228.A!`
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1723
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: B345/S23/C4

The knightship Extreme Enthusiast posted above also works in rules with B7 and B8, and S7 and S8. In such rules with S7, there is also a very pretty diagonal c/7 p70 spaceship which generates very large sparks:
`x = 19, y = 19, rule = 2378/345/47.C\$6.B\$5.A\$4.A3.C\$3.A\$2.A6.C\$.B5.C\$C5.C3.A\$3.C5.3A\$5.C2.A3CA\$7.2AC.2C4A\$8.A2C.2CA2BA\$9.A3C2.3BC\$10.AC.C2.A\$10.2A6.C\$10.A2B2.3A\$10.A2BA.ABA\$11.AB2.2A\$12.C.C!`

Two or more diagonal c/7 ships can be positioned to make a wide variety of puffers. I mostly found just block puffers and boat puffers, but in rules 2378/345/4 and 2378/3458/4, I found a knightship puffer! The one below uses a third diagonal ship behind the first two to clean up a trail of leftover blocks, making a clean diagonal rake that produces knightships:
`x = 37, y = 14, rule = 2378/345/4BCB29.BCB\$3CA8.2A18.3CA\$B2C2A7.2A18.B2C2A\$.3A29.3A\$2.A31.A3\$22.2A\$22.2BA\$20.3A.A\$20.2AC2A\$18.ABA2CA\$18.AB.2A\$19.3A!`

Two knightship-producing backrakes can be used to create a rake which shoots orthogonal c/2 ships. In the one below, a c/7 ship is again used to clean up a trail of blocks:
`x = 80, y = 101, rule = 2378/345/49.A\$8.3A\$7.A2C2A\$6.A2C2.2A\$5.A2CB2.ABA\$4.A2CBA3.2A\$3.2AC3.BC\$4.2A3.2CA\$5.3A2.2A\$6.ABA52.4ABA\$7.2A51.A.2A2BA\$59.AC.2CBA\$58.A4CA\$57.A3C2A\$56.A3CABA\$55.A2.CABA\$55.2A2C2A\$55.2ACA5.2A\$55.A2B5.ACA2.BA\$12.2A41.2BA5.5A2CA\$12.2A41.2A8.2AB4A\$65.A2B.BA\$64.BCA2.2A\$64.ACABA\$35.2AC27.4A\$34.AB2A22.2A4.A\$33.2AC2A4.BC16.2A6.C\$34.2ACA2.2A25.B\$35.ACA2.AB.C22.A\$36.A3.3A22.A3.C\$64.A\$63.A6.C\$62.B5.C\$61.C5.C3.A\$64.C5.3A\$66.C2.A3CA\$68.2AC.2C4A\$69.A2C.2CA2BA\$70.A3C2.3BC\$65.2A4.AC.C2.A\$65.ABA3.2A6.C\$19.C2.C36.3A5.B3.A2B2.3A\$19.C39.AB5.C4.A2BA.ABA\$22.C35.2AC.CB8.AB2.2A\$58.A4CA9.C.C\$57.A3C2A\$24.B31.A3CABA\$20.2A.B.CB28.A2.CABA\$20.A2CA2CA28.2A2C2A\$21.2AC2A29.2ACA5.2A\$22.3A30.A2B5.ACA2.BA\$55.2BA5.5A2CA\$55.2A8.2AB4A\$65.A2B.BA\$64.BCA2.2A\$64.ACABA\$65.4A\$66.A5\$42.A\$41.3A\$40.2ACA\$40.2A3\$44.C3\$12.B\$10.BC.BAB\$10.A2CAC2A16.B31.B\$11.2AC2A16.A2CB28.A2CB\$12.3A16.A.2CB27.A.2CB\$30.A10.2A19.A\$29.A.C9.2A18.A.C\$28.A31.A\$27.B2C3.2AC2A21.B2C3.2AC2A\$28.2C3.AC.2A22.2C3.AC.2A\$28.2B3.C.3A22.2B3.C.3A\$33.3A29.3A\$33.3A17.A11.3A\$52.3A\$51.2A2CA\$50.2A2.2CA\$49.2A3.2C2A\$48.2AC2.2ACB\$49.A3C3A\$50.A3CA\$51.2AB\$52.A5\$.BAB2.C\$2ACACA\$.2AC2A\$2.3A`

To my surprise, a third knightship-producing backrake can send knightships into the stream of orthogonal ships and convert them into knightships.

And yet another knightship-producing backrake can convert the stream of knightships back into orthogonal ships. I believe this is a different kind of knightship collision than the kind of knightship collision which produces the original stream of orthogonal ships.

Here's both conversions, demonstrated two different ways:
`x = 503, y = 714, rule = 2378/345/457.3A\$57.A2BA\$56.A2.2BA\$54.2A.C.2BA\$54.AB2.2ABA\$54.A3B2A\$55.A3B53.C.C\$56.3A51.2A2.2A\$110.AB.2CA\$109.4A2C\$109.A3.A\$108.A5.BC\$106.2A.CA4.C\$104.3A2.2A\$104.ABA6.AC\$103.C2.A5.BA\$105.2CA3.3A3.A\$61.2A40.CA2C.B2.C4.B2A\$61.2A41.2A2.2C6.ACBA\$114.BA.2A\$113.2AC2A\$114.ABA\$85.2A28.A\$84.A2CA21.2A\$83.A.2CB3.2A16.2A6.2AB\$83.AC2A4.2A23.AB2.C\$84.2A5.A23.A2B4.C\$86.C.BC2A23.3A\$86.C.BCB23.5A\$112.3A2.ABA\$111.AB2A.2ACA\$110.A2B4AB\$110.A3.ABC\$110.B4.2A2.3A\$111.C7.AB.A\$119.A3.A3.C\$112.2A6.A2.2A2.2A\$111.2BC7.5A.2A36.2A\$110.A2B.2A6.3AC2A36.A2BACB\$69.2A39.AB2.2A7.A2CA36.2A2B2CA\$68.4A38.AB.2CA8.2A36.A4.CB\$67.B2C2A37.4A2C6.C3A36.A4.B\$68.2CB38.A3.A8.2A36.A3.3A\$68.BC2.C35.A5.BC43.A3.ACA\$69.A2.A.A31.2A.CA4.C42.2A2.ACA\$70.AB.BA29.3A2.2A46.A2B2.2A\$70.2AB2A29.ABA6.AC42.A2B.BA4.2A\$72.A30.C2.A5.BA44.A2C5.A.BA.CB\$105.2CA3.3A3.A40.2CB5.A3BA2.BA\$103.CA2C.B2.C4.B2A39.BA7.A2BCA2BA\$104.2A2.2C6.ACBA48.A2CACBA\$114.BA.2A48.C.2A.2A\$113.2AC2A49.B.BC2A\$114.ABA51.3BA\$115.A52.3A5\$228.2A\$226.5A\$90.A80.2A17.A33.C.AB3CA\$89.AB2A78.2A16.ABA35.A2.2CB\$88.C2A2BA94.A2BA31.2A5.B2C\$92.2B94.3A32.ABA5.A.A\$87.C4.2BA91.4ABA30.2AC3.C2.ABA\$92.2A90.3A2.ABA30.2AC6.3A\$63.C22.C3.C.C90.A2BA3.A6.2C24.A2CB3.3A\$62.C2.C21.B95.AB39.A2C5A\$60.A.A2.B22.C94.2A2.B6.C.B.AB25.BC.B2A\$60.AB.BA120.A2CA4.2B.CAC.C26.3A\$60.2AB2A121.A2CA4.C.2CA.C\$62.A124.A2CB5.CA232.C\$80.5A27.5A71.AC2.C.3A232.B\$80.2A3BA4.2A20.2A3BA71.A2.A.2BA231.A\$78.2A3.3BC3.2A18.2A3.3BC71.AB.2BA30.2A199.B\$78.2A4.A25.2A4.A73.2AB2A29.6A196.C\$78.AB6.C23.AB6.C73.A31.AB2.BA201.5A\$78.A2B2.3A24.A2B2.3A106.A.A.2A201.3A2CA\$78.A2BA.ABA24.A2BA.ABA108.CA203.2A2CA\$79.AB2.2A13.C12.AB2.2A310.C3.A2CA\$80.C.C14.B14.C.C123.BA191.ACA54.2A\$96.C122.A16.B3CB191.A54.3AC\$101.3A114.A2BA13.2ACBC246.2A\$100.A2B2A112.C3BA12.BA.A2C245.ABCA\$99.ABAB2.A109.C3.B.CA11.2CA.ABA244.A2B2A\$99.A2B2.A109.2A3.ABA11.BCBCA.2B243.3ABA.A\$99.2A2.A110.A2B2A2BA11.A3C3BA242.6ACA\$100.A.A112.A3CBA13.B2.ABA241.6AC2A\$101.A114.ACA261.A2B3AC2A\$217.A261.2AC2BACA\$228.2A248.2A.6A.C.C\$51.C174.5A205.2A40.2A2.A.CA5.2A\$49.C2.CAC169.C.AB3CA204.2A41.C3.2A3.C2.BA\$49.B2.A.BA171.A2.2CB256.A2BA\$50.AB.2BA167.2A5.B2C256.3A\$50.2AB2A147.A20.ABA5.A.A\$52.A130.C17.3A18.2AC3.C2.ABA\$182.C2.C14.B2C2A17.2AC6.3A230.C.C17.2A\$180.A.A2.B14.2C2A19.A2CB3.3A225.6A2.2A16.2A\$180.AB.BA15.B2A21.A2C5A225.BA.A3B.2BA24.4ABA\$180.2AB2A16.A23.BC.B2A226.2C.C5BA24.A.2A2BA\$182.A44.3A226.B4C5A24.AC.2CBA\$456.2C.2C2A26.A4CA\$455.B2C.BCB26.A3C2A\$456.A30.A3CABA\$457.BC.2C24.A2.CABA\$486.2A2C2A\$486.2ACA5.2A\$486.A2B5.ACA2.BA\$486.2BA5.5A2CA\$486.2A8.2AB4A\$194.A31.A269.A2B.BA\$193.2AB29.2AB260.2A5.BCA2.2A\$191.2A3C27.2A3C216.2A41.3AC4.ACABA\$191.AB.C.C26.AB.C.C214.ACA40.2A8.4A\$190.5A27.5A216.A4.B36.ABCA8.A\$190.A.A.CA26.A.A.CA216.A2.B.CB34.A2B2A\$40.CAC146.A3.ABA4.2A19.A3.ABA216.2ACA2CA33.3ABA.A\$39.AB.A.A142.2A2.AB2A5.2A17.2A2.AB2A218.2AC2A33.6ACA\$39.A2B.BA140.3A2.ABA15.2A2.2A3.3A2.ABA221.3A32.6AC2A\$40.2AB2A140.AB2A.BA15.AC.4A3.AB2A.BA256.A2B3AC2A\$42.A128.C12.AC.A.2A2.BCB10.ABC2BA4.AC.A.2A2.BCB251.2AC2BACA\$169.C2.CAC8.2A2CACBA2.3CA8.A4BAC3.2A2CACBA2.3CA249.2A.6A.C.C\$169.B2.A.BA8.BC2.2A3.B2C2A6.A3B2A6.BC2.2A3.B2C2A248.2A2.A.CA5.2A\$170.AB.2BA10.C7.3A6.A3B.A9.C7.3A250.C3.2A3.C2.BA\$170.2AB2A20.A6.A2CB3A18.A261.A2BA\$172.A29.A.2BA4.C277.3A\$203.ABA5.2A\$203.2AC3.CABA2.2A\$202.2A6.2A3.2BA\$202.2A9.3A.A\$213.2AC2A\$211.ABA2CA\$211.AB.2A\$212.3A2\$465.A\$464.ABA\$463.2AC2A\$463.4A\$436.B25.2AC2A\$33.C400.BC.BAB22.2AC3A\$32.C2.C398.A2CAC2A21.A2BC2B\$30.A.A2.B399.2AC2A23.2A.2AC\$30.AB.BA401.3A25.C\$30.2AB2A\$32.A\$160.CAC\$159.AB.A.A291.A3.C4.2A21.A3.C\$159.A2B.BA290.3A2.2A3.2A20.3A2.2A\$160.2AB2A289.2A.2A.2A24.2A.2A.2A\$162.A292.3AC2A26.3AC2A\$456.A2CA15.B12.A2CA\$457.2A15.A2CB11.2A\$454.C3A15.A.2CB8.C3A\$455.2A15.A14.2A\$471.A.C\$470.A\$469.B2C3.2AC2A\$470.2C3.AC.2A\$470.2B3.C.3A\$475.3A\$475.3A4\$21.C403.BAB2.C\$19.C2.CAC399.2ACACA\$19.B2.A.BA399.2AC2A\$20.AB.2BA400.3A\$20.2AB2A\$22.A130.C\$152.C2.C\$150.A.A2.B\$150.AB.BA\$150.2AB2A\$152.A14\$418.B\$414.C2.B.CB\$10.CAC402.ACA2CA\$9.AB.A.A400.2AC2A\$9.A2B.BA401.3A\$10.2AB2A\$12.A128.C\$139.C2.CAC\$139.B2.A.BA\$140.AB.2BA\$140.2AB2A\$142.A6\$82.A\$81.3A\$80.A2C2A\$79.A2C2.2A\$78.A2CB2.ABA\$77.A2CBA3.2A\$76.2AC3.BC\$77.2A3.2CA\$A77.3A2.2A321.B\$A78.ABA322.BC.BAB\$80.2A322.A2CAC2A\$405.2AC2A\$B76.2A327.3A\$C76.2A\$CB\$C32.5A92.CAC\$B30.2A.2B2AB90.AB.A.A\$31.AB.A.BC91.A2B.BA\$31.3A.3A92.2AB2A\$36.2AC93.A\$37.B\$36.C34.2A\$70.ABA2.2AB9.2A\$70.A.AC2A2C9.2A\$70.2A2CA2CB\$71.BC3.A22.A\$73.B.A22.ABA\$74.A22.2AC2A\$97.A.AB\$96.A\$95.A2.C\$94.A2.B\$92.2A2.B3.4A\$91.2A2.C3.4ACB\$90.ABCA4.A2C2A2C290.BAB2.C\$91.2AB3.2AC3.AB289.2ACACA\$92.A4.3A2.2A291.2AC2A\$97.3A.A294.3A\$97.A2C2A\$98.BCB22.C64.ABC\$122.C2.C61.AC\$120.A.A2.B60.A2C\$92.A27.AB.BA60.A3BA\$91.3A26.2AB2A59.A5B\$90.A2C2A27.A60.A2B2.BCA\$89.A2C2.2A86.AC2B.BA.B\$88.A2CB2.ABA84.A2C3BAC\$87.A2CBA3.2A84.B2.ABC4.A\$86.2AC3.BC87.C4.AB2.3A\$87.2A3.2CA17.A76.2AC2A\$88.3A2.2A16.ACA76.2A.3A\$89.ABA18.A3CA76.3A2B4A\$90.2A17.ACABACA76.ABA2BA2B\$108.A2CB.B2CA75.A3B.2BA\$109.ACABACA77.AB2.2A\$110.A3CA78.2ABA\$111.ACA73.2A4.A2BA\$112.A74.2A4.ABA\$388.B\$139.C244.C2.B.CB\$385.ACA2CA\$133.2A250.2AC2A\$132.ACA251.3A\$132.2AC\$107.AB.2B21.A3CB38.B\$106.A2C.2C22.B2CA36.B2CA\$105.A2B.ABA24.B35.B4C.B18.2A\$106.2B.2BA59.2A2C3.C18.2A\$106.A4BA59.A2.2CB\$107.2B.BA59.2A4C.C\$107.2AC2A60.4AB.C\$109.A63.3A2\$208.3A\$207.A.3A\$206.A3.CAC\$205.A.2B2C3.C\$204.A2.3BA3.C241.3A\$204.2A.CB2ABC243.A2BA\$204.2A2C2A245.A2.2BA\$202.5A2.B243.2A.C.2BA\$196.2A4.3A.C2.C2.2A.2A236.AB2.2ABA\$101.C93.AC2A13.A.A2BA155.2A78.A3B2A\$100.B93.4A9.2C4.A2BA156.A.A78.A3B\$99.C3.C.C88.A.B2A13.A2BA158.2A79.3A\$105.2A86.AC.3BA12.ABA155.2A\$100.C4.2BA84.B3CBABCA12.A156.2AC\$105.2B85.3CB2AB.B168.AC.A79.2A\$101.C2A2BA84.B2CA3BC171.AB4A76.2A\$102.AB2A85.B2.ABC4.A168.A2B2.A\$103.A87.C4.AB2.3A168.A2BA33.2A\$199.2AC2A168.3A33.2AC2.2A\$200.2A.3A201.AC.B2A2B\$201.3A2B4A198.A2BA2BA\$202.ABA2BA2B198.AB3CA\$202.A3B.2BA200.ACA\$203.AB2.2A202.A\$203.2ABA239.3A2.2A9.2A\$203.A2BA239.AB4.A9.2A\$203.ABA240.2A3.A\$448.3A\$448.3A\$473.3A\$99.CB371.A2BA\$101.C264.2A104.AB2.B\$366.4A101.3A3.C\$96.2A2.C267.ABA99.2A3.C\$96.A.BA268.A2BA96.3A5.BAB\$97.3A266.B2ABA96.A2BA4.2AC2A\$365.2AC2A97.AB6.A2BA\$366.ABA98.2A2.C.2A3BA\$367.A101.B2.BA3BA\$470.C.AC2BA\$472.B3A\$473.A5\$466.3A\$466.A2BA\$465.A2.2BA\$360.BCB100.2A.C.2BA\$360.A2CA99.AB2.2ABA\$90.3A267.2AC.A98.A3B2A\$90.2B.A267.2A2.A98.A3B\$90.A2BA267.2C.B100.3A\$91.3A265.3A2C\$359.AB.AB\$360.3A12\$85.2A267.B2.C\$84.CABA265.2AC2AB\$86.2BA264.2AB2A.C\$84.C2.BA264.AB.A\$85.A2BA264.ABA\$85.3A265.A2.A\$354.ABA\$354.3A11\$79.2A\$79.A.A265.AB.2B\$82.2A262.A2C.2C\$82.2A261.A2B.ABA\$79.A2.2A262.2B.2BA\$79.ABA264.A4BA\$79.3A265.2B.BA\$347.2AC2A\$349.A10\$73.ABA\$73.A2BA264.C\$74.ABCA262.B\$74.2A2CA260.C3.C.C\$73.C2BCA267.2A\$72.2A.2B263.C4.2BA\$72.2AC2A268.2B\$74.A266.C2A2BA\$342.AB2A\$343.A9\$67.C.C\$67.A2.B\$67.AB.2A\$67.3A2.B\$67.A3.C267.CB\$66.3A272.C\$66.AC.AC\$67.3A266.2A2.C\$68.A267.A.BA\$337.3A10\$61.C\$60.2A.2AC\$59.A2BC2B\$59.2AC3A\$59.2AC2A\$60.4A\$60.2AC2A265.3A\$61.ABA266.2B.A\$62.A267.A2BA\$331.3A10\$54.BC.2C\$53.A\$52.B2C.BCB\$53.2C.2C2A\$53.B4C2A265.2A\$54.2C.C2A264.CABA\$54.BA.2A267.2BA\$55.3A266.C2.BA\$325.A2BA\$325.3A10\$47.C2\$52.BA\$52.2CB264.2A\$52.2C265.A.A\$49.2A2CB268.2A\$49.AC2A269.2A\$50.2A267.A2.2A\$319.ABA\$319.3A11\$47.C\$313.ABA\$313.A2BA\$43.2A269.ABCA\$43.2ACA267.2A2CA\$44.3A266.C2BCA\$45.A266.2A.2B\$312.2AC2A\$314.A11\$307.C.C\$38.A268.A2.B\$37.B2A267.AB.2A\$37.2C2A266.3A2.B\$37.B2C2A90.ABC172.A3.C\$38.3A90.AC173.3A\$39.A90.A2C173.AC.AC\$129.A3BA173.3A\$128.A5B174.A\$127.A2B2.BCA\$126.AC2B.BA.B\$125.A2C3BAC\$125.B2.ABC4.A\$125.C4.AB2.3A\$133.2AC2A\$134.2A.3A\$135.3A2B4A\$136.ABA2BA2B\$136.A3B.2BA\$32.2A103.AB2.2A158.C\$32.ACA4.2A96.2ABA159.2A.2AC\$33.2CA2.3A90.2A4.A2BA158.A2BC2B\$34.C4AC91.2A4.ABA159.2AC3A\$32.A2CA2.2A259.2AC2A\$32.3A8.C39.C216.4A\$33.A266.2AC2A\$77.2A222.ABA\$76.ACA223.A\$76.2AC\$77.A3CB38.B\$78.B2CA36.B2CA\$80.B35.B4C.B18.2A\$115.2A2C3.C18.2A\$115.A2.2CB\$115.2A4C.C\$116.4AB.C\$117.3A2\$152.3A139.BC.2C\$151.A.3A137.A\$150.A3.CAC135.B2C.BCB\$149.A.2B2C3.C134.2C.2C2A\$148.A2.3BA3.C134.B4C2A100.3A\$148.2A.CB2ABC137.2C.C2A100.A2BA\$148.2A2C2A140.BA.2A100.A2.2BA\$23.B122.5A2.B141.3A99.2A.C.2BA\$21.BC.B2.C112.2A4.3A.C2.C2.2A.2A236.AB2.2ABA\$21.A2CACA112.AC2A13.A.A2BA235.A3B2A\$22.2AC2A111.4A9.2C4.A2BA237.A3B\$23.3A112.A.B2A13.A2BA154.2A83.3A\$137.AC.3BA12.ABA154.AC5AC\$136.B3CBABCA12.A154.2A.A.AB\$136.3CB2AB.B168.2A2.A2.C75.2A\$135.B2CA3BC171.C3.AB76.2A\$135.B2.ABC4.A170.C.A\$135.C4.AB2.3A170.B34.2A\$143.2AC2A204.2AC2.2A\$144.2A.3A201.AC.B2A2B\$145.3A2B4A198.A2BA2BA\$146.ABA2BA2B198.AB3CA\$146.A3B.2BA200.ACA\$147.AB2.2A202.A\$147.2ABA239.3A2.2A9.2A\$147.A2BA139.C99.AB4.A9.2A\$147.ABA137.CAC2.C97.2A3.A\$286.AB.A2.B99.3A\$286.A2B.BA100.3A\$287.2AB2A125.3A\$289.A126.A2BA\$416.AB2.B\$15.B399.3A3.C\$12.BAB.CB396.2A3.C\$11.2ACA2CA394.3A5.BAB\$12.2AC2A394.A2BA4.2AC2A\$13.3A395.AB6.A2BA\$411.2A2.C.2A3BA\$413.B2.BA3BA\$414.C.AC2BA\$416.B3A\$417.A5\$410.3A\$410.A2BA\$409.A2.2BA\$407.2A.C.2BA\$407.AB2.2ABA\$279.CAC125.A3B2A\$277.A.A.BA125.A3B\$277.AB.2BA126.3A\$277.2AB2A\$279.A3\$.C2.BAB\$2.ACAC2A\$2.2AC2A\$3.3A14\$268.C\$266.C2.C\$266.B2.A.A\$267.AB.BA\$267.2AB2A\$269.A20\$260.C\$257.CAC2.C\$256.AB.A2.B\$256.A2B.BA\$257.2AB2A\$259.A21\$249.CAC\$247.A.A.BA\$247.AB.2BA\$247.2AB2A\$249.A20\$238.C\$236.C2.C\$236.B2.A.A\$237.AB.BA\$237.2AB2A\$239.A8\$240.3A\$240.2B.B\$239.A2B.C\$240.ABA\$241.A2\$244.C\$233.C\$231.2A2.C4.ABA\$231.ABA.C4.3BA\$231.AB7.A2BA.C\$233.BC6.3A\$238.C6.C\$242.C.C!`

Extreme Enthusiast, thanks for posting that knightship!
-- Eric Goldstein
Last edited by EricG on January 8th, 2012, 7:57 pm, edited 7 times in total.
EricG

Posts: 199
Joined: August 19th, 2011, 5:41 pm
Location: Chicago-area, USA

### Re: B345/S23/C4

I also wanted a true knightrake, as opposed to a diagonal rake that produces knightships, but I couldn't find one.

I tried adding S0. The knightship trivially turns into a knightpuffer (a puffer which leaves a trail of single cells along a knightship's path). Combinations of these knightpuffers left only simple still lifes like blocks and boats, but many of these knightpuffers first create big sparks, which led me keep trying for awhile. The knightpuffer works in lots of rules (023/345/4 + optionally B7, B8, S7, S8), and it is naturally generated quite frequently in those rules, which makes me think that it shouldn't be that hard to stumble onto a knightbreeder.

For example, this knightpuffer, which is quite typical, generates a big spark that looks promising, and it behaves just a bit differently if you subtract B7 or S78, etc.
`x = 58, y = 28, rule = 02378/34578/42.2A\$2.2A4.A2.A\$15.A2.A3.2A\$21.CABAC\$24.2B3.A2.A\$24.2A10.A2.A\$19.A4.C18.A2.A4.C\$22.C7.A19.A2.A\$22.B2.C11.A11.C5.C\$16.A6.AB6.2A11.A10.2A\$29.A4BA16.A3.ABA\$29.A4BA3.A16.BA\$A10.A15.AB5.A10.A5.CA3BA\$7.A7.A11.3A22.A2BA\$3.BC4.C15.C.CA4.C3.2A14.A\$2.A3CA2.2A13.2A6.C4.ACA\$3.BC2A.A.2A11.ABA2.AB7.C2A\$7.2ACA11.ABA3.A3BA5CA\$8.2A8.A3.AB5.A2BA4CB\$13.3A6.2A3.C3.A2.2B\$12.A.BA8.C2.C\$12.2A2.A\$15.2A2\$9.2A\$9.A2.2A\$10.AB.A\$10.3A!`

Finally, when I tried switching from C4 to C5, I found this unrelated orthogonal growing spaceship that leaves a peculiar knighttrail:
`x = 85, y = 51, rule = 02378/345/515.A5.A21.A.D\$18.A25.C6.2A\$51.2A4\$13.A\$41.A5.A\$44.A\$16.A.A4\$49.A3\$14.2A28.A.A\$14.ADBA\$14.A2BA\$15.A2CB\$16.ACDC\$17.AD.D\$18.A28.D\$18.3A24.D.2A\$19.ABA22.D2.BA\$19.ABCB23.2A\$20.ACDC20.3A\$21.AD.D18.ABA\$22.A19.BCBA\$22.3A16.CDCA\$23.ABA14.D.DA\$23.ABCB15.A\$24.ACDC12.3A\$25.AD.D10.ABA\$26.A11.BCBA\$26.3A8.CDCA\$27.ABA6.D.DA\$27.ABCB7.A\$28.ACDC4.3A\$29.AD.D2.ABA\$30.A3.BCBA\$30.3A.DCA\$31.AB2DA\$31.A2BA\$32.3A!`
EricG

Posts: 199
Joined: August 19th, 2011, 5:41 pm
Location: Chicago-area, USA

### Re: B345/S23/C4

Re the "unrelated orthogonal growing spaceship" in C5 there are also some easily found small seeds which produce a fractal explosion thereof, including:
`x = 10, y = 9, rule = 02378/345/53.A\$2.3A\$.2A2CA\$.A2.CBA\$AD2.ABA\$AC2A.3A\$.2ACD2.2A\$4.D2.2AC\$8.2D!`
which are quite the exception in a rule which mostly settles very quickly.

ynotds

Posts: 31
Joined: August 23rd, 2010, 8:38 am
Location: Melbourne, Australia

### Re: B345/S23/C4

I was able to engineer a knightpuffer that breeds knightpuffers, posted elsewhere:
`x = 167, y = 123, rule = 3458/37/451.2A\$51.2A2\$72.2A\$72.2A\$71.2A\$71.2A2\$38.2A\$38.4A\$40.2A4\$30.2A\$30.4A\$32.2A29.2A\$63.2A2\$84.2A\$22.2A60.2A\$22.4A57.2A\$6.BC16.2A57.2A\$6.2A\$5.A2BA41.2A\$5.4A41.4A\$14.2A18.BC16.2A\$14.4A16.2A\$16.2A15.A2BA44.BC\$2.2A29.4A43.C.2A\$2.2A38.2A18.BC12.2A.AB.2A7.C\$CB.A38.4A16.2A12.4A.BC8.B\$2.A41.2A15.A2BA8.A.2A2.A6.2A.2A.BC\$2.3AB24.2A29.4A6.3A2BA.3A5.3A.BA\$3.AC2A23.2A39.2A.ABA2CA6.2A.3A\$3.BAB22.CB.A42.2A.BAB10.A\$4.A25.A47.A\$30.3AB24.2A\$31.AC2A23.2A\$31.BAB22.CB.A\$32.A25.A\$58.3AB\$59.AC2A\$59.BAB27.C.C\$60.A28.3AB\$87.2A.2B\$86.2AB3A\$87.2A.A5\$87.2A\$87.2A\$91.A\$90.4A35.3A\$89.2AB.ABAC31.CBABC\$90.3A.ACAB28.C7.C\$91.7A28.C.CB2AC.CB\$95.2A30.BC2A.B2A.A\$131.3A.2A\$122.2C8.B.4A\$107.2A15.B7.CBA.BC\$107.2A12.C.2C5.ABC2.C\$106.2A12.AB.BA4.3A2.B\$106.2A12.2A.2A4.3ACABC\$120.AB.BA4.ABC.B\$121.C.2C7.BC\$124.B\$122.2C9\$119.2A19.CBA\$119.2A19.2A.2A\$118.2A20.5A\$118.2A22.A3\$140.B\$139.C3A3.C\$139.A.2B3.AB\$137.3A.2AB.3A\$137.2A.A2.C.B4A\$138.A2.A2.C4.3A\$137.3A.2AB2.3AC2A\$137.3ABA.A.A.A.3A\$140.3ACACB\$144.BA12.2A\$131.2A25.2A\$131.2A24.2A\$130.2A20.B4.2A\$130.2A19.CBC\$149.2C2.B4.A\$154.BC5A\$151.C.C2.2A2BA\$150.B2A.3A2.B2A\$137.2A11.2A.B.A.C3A\$135.C.2A13.C3A2.B\$136.2A16.A4.A\$136.2A15.3A2.4A\$153.3A2.AB2ACB\$157.2AB2.A.C\$149.3A6.A2BA.A.B\$149.ABAC5.2A3BAC2A\$136.C11.2AB.2A7.2A.3A\$133.CA.C12.B.3A11.A\$132.B3A14.C.C\$132.4A\$134.A8.3A\$140.C2.ABA\$139.3A.3A\$139.2A.2A16.3A\$140.CAC14.C2.ABA\$141.B14.3A.3A\$156.2A.2A\$157.CAC\$158.B!`

Here is a knightship I don't think I posted before:
`x = 95, y = 107, rule = 3458/37/42A.2A\$2A.2A2\$9.CA\$9.B3A\$6.B3.C2A\$5.C7A\$6.B.A.2A7\$10.2C\$9.2A2.C\$9.3ABC.A\$9.C2.A.B2A\$10.2A3.2A\$10.3A2CBA\$10.2A.A.A\$11.2ACB.2AC\$12.6A\$11.2AC2.A.B\$11.6A.2C.2C\$12.2A.2AB2.B\$16.A3.C5\$22.2A\$22.2A2\$22.2A\$22.2A26.B\$48.3AC\$47.2AB\$29.2A17.3AC\$29.2A19.B\$28.2A\$28.2A6\$34.2A\$34.2A2\$34.2A\$34.2A3\$41.2A\$41.2A\$40.2A23.3A\$40.2A23.4A\$65.ACAB\$62.3A2.C\$62.2AC\$62.3AC\$63.AB\$46.2A\$46.2A2\$46.2A\$46.2A3\$53.2A\$53.2A16.C2.CB\$52.2A17.C2.B.C7.2A\$52.2A8.C.C6.ABAC2B7.2A\$61.BA.AB5.3A2.C6.2A\$62.ABA6.3A8.A.CA\$62.3A6.CB5.2B.B.3A\$63.A12.2CABCA2.2A\$59.2A15.B2.2C2A\$59.2A15.5AC2A\$58.2A17.2A.4A\$58.2A19.2C5\$65.2A\$63.C.2A\$64.2A\$64.2A20.4A\$86.AB2ACB\$85.2AB2.A.C\$86.A2BA.A.B\$86.2A3BAC2A\$64.C24.2A.3A\$61.CA.C28.A\$60.B3A\$60.4A17.C\$62.A8.3A4.CA.C\$68.C2.ABA3.B3A\$67.3A.3A3.4A\$67.2A.2A7.A8.3A\$68.CAC14.C2.ABA\$69.B14.3A.3A\$84.2A.2A\$85.CAC\$86.B!`

And another knightship that makes p8 oscillators as it moves:
`x = 31, y = 27, rule = 3458/37/44.A\$3.BAB9.2AC\$3.ACA9.2AB\$.2A.2AB9.A\$4ACAC\$.BC5.C\$7.BAB2A\$7.A2C2A\$7.B4A\$9.2A8.C\$20.2A\$20.2A\$19.C9.C\$24.2A.2B.C\$23.2ABA.CA\$24.2A.3A\$27.3A2\$16.2A\$16.3A\$17.A.3A\$18.AB2ACB\$17.2AB2.A.C\$18.A2BA.A.B\$18.2A3BAC2A\$21.2A.3A\$25.A!`
knightlife

Posts: 566
Joined: May 31st, 2009, 12:08 am

### Re: B345/S23/C4

Knightlife,

Thanks for posting the new knightship in 3458/37/4 -- I like the way the rake component clobbers the puffer component. For that matter, I like the rake component by itself. I wish the rule wasn't so explosive -- I wonder if any of the knight components work in a non-explosive related rule?

Thank you also for posting the knightship loop here:
viewtopic.php?f=11&t=376&start=25#p5956
Very impressive, and I really enjoyed it. I haven't quite worked out the maximum number of knightships that can be squeezed into the loop, but it is certainly fun to fit in multiple ships. Too bad 23578/3568/4 has so few easily findable oscillators and ships.

So, one rule that is too explosive (in my opinion), and another that isn't explosive enough. But rule 2378/345/4 is just right!

Here's a true knightrake in rule 2378/345/4 -- a set of knightships that periodically produces a pair of knightships. A parade of knightships is used to clean up afterwards. Admittedly, this one is a very rough draft that could be improved upon in many different ways:
`x = 369, y = 513, rule = 2378/345/480.2A\$78.4A\$77.ABA\$76.A2BA\$77.AB2AB\$78.2AC2A\$79.ABA\$80.A15\$70.2A\$70.2A4\$78.2A\$71.2A4.A.A\$71.2A2.2A\$75.2A\$75.2A2.A\$77.ABA\$77.3A19\$78.2A\$76.4A\$75.ABA\$74.A2BA\$75.AB2AB\$76.2AC2A\$77.ABA\$78.A286.3A\$364.A3BA\$363.A2B.BA\$363.2A2.2A\$77.C.C284.C.C\$71.BC3AB2.A\$71.AC2B2A.BA\$72.A2BA.3A\$73.A.C3.A\$78.3A\$76.CA.CA\$65.2A10.3A\$65.2A11.A3\$68.2A\$68.2A3\$62.2A\$62.2A5\$63.2A\$63.2A3\$341.A\$340.ABA\$339.A3BA\$339.6A\$338.2A2.ACBA\$338.2A2.B2A\$343.A10\$75.2A\$74.ABAC\$73.A2B\$73.AB2.C\$73.A2BA\$74.3A11\$63.2A\$63.2A2\$70.C.C\$71.B2\$57.2A\$57.2A12.BC\$70.C2\$60.2A9.C2.2A\$60.2A10.AB.A\$72.3A\$64.2A\$54.2A8.2A\$54.2A5\$55.2A\$55.2A17\$72.2A\$70.4A\$69.ABA\$68.A2BA\$69.AB2AB\$70.2AC2A\$71.ABA\$72.A8\$63.2A7.2A\$63.2A7.3A\$75.BABA\$55.2A13.C2.2CB.2CA\$55.2A17.A2B.2BA\$74.A2B.2B\$59.2A13.A4BA\$59.2A13.AB.2B\$74.2AC2A\$49.2A25.A\$49.2A11.2A\$62.2A2\$52.2A\$52.2A183.3A\$236.A3BA\$56.2A177.A2B.BA\$46.2A8.2A177.2A2.2A\$46.2A188.C.C5\$47.2A\$47.2A19\$213.A\$212.ABA\$77.2B.BA129.A3BA\$77.2C.2CA128.6A\$77.ABA.2BA126.2A2.ACBA\$77.A2B.2B127.2A2.B2A\$77.A4BA132.A\$77.AB.2B\$77.2AC2A\$79.A4\$55.2A\$55.2A4.2A\$61.2A\$47.2A34.C\$47.2A\$77.AB\$51.2A23.B2C\$51.2A24.2C\$77.B2C2A\$41.2A35.2ACA\$41.2A11.2A23.2A\$54.2A2\$44.2A\$44.2A2\$48.2A\$38.2A8.2A31.2A\$38.2A40.ACA\$79.A2C\$78.2AC\$79.A2CA\$80.3A\$39.2A40.A\$39.2A11\$79.2A\$78.ACA\$77.A2C\$76.2AC\$72.2A3.A2CA\$71.A.A4.3A\$71.2A6.A3\$64.2A\$64.2A\$71.2A\$70.A.A\$70.2A5\$63.2A5.2A\$63.2A4.A.A\$69.2A\$47.2A\$47.2A4.2A\$53.2A\$39.2A\$39.2A\$67.2A\$43.2A22.A.A\$43.2A23.2A2\$33.2A\$33.2A11.2A\$46.2A2\$36.2A\$36.2A2\$40.2A\$30.2A8.2A\$30.2A5\$31.2A\$31.2A6\$109.3A\$108.A3BA\$107.A2B.BA\$107.2A2.2A\$108.C.C9\$59.2A\$59.2A9\$58.2A\$58.2A2\$39.2A\$39.2A4.2A\$45.2A\$31.2A52.A\$31.2A51.ABA\$83.A3BA\$35.2A46.6A\$35.2A45.2A2.ACBA\$82.2A2.B2A\$25.2A60.A\$25.2A11.2A\$38.2A2\$28.2A\$28.2A2\$32.2A\$22.2A8.2A\$22.2A5\$23.2A\$23.2A8\$57.2A\$56.A.A\$56.2A5\$56.2A\$55.A.A\$55.2A3\$48.2A\$32.2A14.2A\$26.A5.2A21.2A\$25.3A26.A.A\$25.3A2.2A22.2A\$26.A2.A2B\$30.2A3\$47.2A5.2A\$47.2A4.A.A\$53.2A5\$53.2A\$52.A.A\$52.2A3\$28.A\$27.2AB\$25.2A3C22.2A\$25.AB.C.C20.A.A\$24.5A22.2A\$23.4A.CA\$22.AB3AC2A\$21.A2B2AC2A6.2A7.2A\$22.2A.2A8.2A7.2A\$51.2A\$35.A14.A.A\$34.ABA13.2A\$31.3A2BCA\$30.A3B.3A\$30.A2BABC\$31.A8.C.C\$17.BCB19.ABA.CB5.2A\$16.A2C2A11.2A4.A2BA2C2A3.A.A\$17.A.CA10.ACA3.AB3A.CA4.2A\$18.2A10.2A5.AB3ABA\$30.2A5.7A\$30.2A2.C4.3A\$32.A2.C3.A\$33.A3.3A9.2A\$34.A2.BA9.A.A\$35.A2BA9.2A\$35.3A4\$48.2A\$47.A.A\$47.2A\$51.C.C\$50.B2.A\$49.2A.BA\$48.B2.3A\$49.C3.A\$52.3A\$44.3A3.CA.CA\$44.A2BA3.3A\$20.3A4.3A13.C2.A.C3.A\$20.ABA4.ABA19.B\$20.3A4.3A6.2A6.C5.C\$35.ABAC4.2A\$34.A2B5.A2B4.C\$34.AB2.C4.2B\$34.A2BA5.A2B2AC\$35.3A6.2ABA\$46.A2\$16.C2\$10.AB\$9.B2C9.A\$10.2C8.A.A\$10.B2C2A5.AB.A\$11.2ACA5.3A\$12.2A3\$6.2A\$5.ABAC\$4.A2B\$4.AB2.C\$4.A2BA\$5.3A14.2A\$22.2A3\$25.2A\$10.2B.BA3.2A4.A.A\$10.2C.2C3A.A2.2A\$10.ABA.2B3A3.2A\$10.A2B.2BA5.2A2.A\$10.A4BA8.ABA\$10.AB.2B9.3A\$10.2AC2A\$12.A4.2A\$16.A.A\$16.2A5\$16.2A\$15.A.A\$15.2A4\$23.C\$12.2A\$11.AC3A.AB\$11.BC3AB2C\$12.3A2.2C\$17.B2C2A\$18.2ACA\$3.C.C13.2A\$2.B2.A\$.2A.BA\$B2.3A7.2A\$.C3.A6.ABAC\$4.3A4.A2B\$2.CA.CA4.AB2.C\$3.3A5.A2BA\$4.A7.3A!`

In rule 2378/345/4, the following c/2 ship has an enormous and very useful spark. Here's the small starting pattern:
`x = 6, y = 9, rule = 2378/345/43.3A\$3.ABA\$.2A2.A\$.AB\$AB.AC\$.AB\$.2A2.B\$3.A2C\$4.AB!`

Pairs of this sparky ship can make knightship-producing orthogonal side rakes. Here's two side rakes, one shooting knightships down and forward, the other shooting knightships down and backward:
`x = 262, y = 67, rule = 2378/345/477.C124.A\$77.C123.3A\$200.5A\$73.C7.C117.A5.A\$76.3A119.2A.C.C.2A\$75.B3AB117.3A2.B2.3A\$75.2CA2C118.2A.C.C.2A\$70.2C3.2C.2C3.2C114.7A\$75.2CA2C120.A3BA\$61.A13.B3AB120.A3BA\$59.2AB2A12.3A107.A14.3A\$59.AB.BA13.A107.ACA\$32.BCB22.2A2.A2.2A10.ACA106.ABA\$31.A2C2A21.AB.3A.BA9.ACBCA106.A12.2A\$30.2AC6A18.A2B3A2BA10.ACA112.A7.2A\$30.5A2.BA19.AB3CBA12.A106.C4.A2BA\$28.2A2.B3.3A4.A16.ACA126.A2B.B\$27.2A2.C3.2A5.3A16.A126.ACBA2.CB\$26.2AC4.C3A4.A3CA21.A2BA93.A23.BA3.BC2A\$26.ACAB10.2AC.C2A16.2A2.A2BA92.ABA12.2A13.2A.A\$26.2AC8.CB.2A3CA17.2A3.C.2A90.2AC2A11.A.A13.2BA\$27.2A2.CB6.6A18.A4.A2BA89.2A.AB15.A12.2A\$28.2A3.C4.2CB2.A8.B4.2A4.A5.2B89.2AC16.2A.A\$30.BC6.2C11.A2C3.C2A2.C3BA2.BA89.ACAB7.A5.A3B2.A\$38.2B6.BC4.AC2A2CA4.ABAB.2A90.2AC7.3A4.A3B.A16.2A14.2A14.2A14.2A\$45.C.C4.A2B2CA6.A2B3A91.2A2.2C2.B3.A3.A3.A17.2A14.2A14.2A14.2A\$53.A2CA8.3A94.2A5.C4.A3.A.A\$53.2CA10.A97.BC8.2A3.A16.2A14.2A14.2A14.BA\$45.2C6.BA119.2A20.2A4.2A8.2A9.C4.2A14.2CA\$6.BCB163.C.C27.2A20.C19.AC2A\$5.A2C2A175.A57.A2BC2A\$4.2AC6A171.3A56.A2B.BA\$4.5A2.BA13.3A154.2A2CBA28.3A3.C19.A4BA\$2.2A2.B3.3A4.A7.A2BAC139.BCB11.A2.A2BA13.2A11.6A21.AB.2B\$.2A2.C3.2A5.B3A4.BCA27.CA25.AB.2B82.A2C2A9.A3.A3BA8.4A2B10.ABA.C2A5.3A13.2AC2A\$2AC4.C3A3.BC.3A4.2CA18.A8.ABA23.A2C.2C81.2AC3A8.B2.C2.2A2CA6.ACA3BA9.A2BAC.2A4.B3ABCB12.A\$ACAB9.2A4C2A3.B2A2.C.2A11.2AB7.A2BA21.A2B.ABA81.3AC2A9.C.C4.AC2A4.A2C.2BA11.2A8.C.A4CA\$2AC8.CA2BC.2C2A4.3A.2ABA10.ABCA8.2A23.2B.2BA79.2A2.B2CA15.4A4.A4B.2BA14.CB6.2ACBA9.C\$.2A2.CB6.2BAB.3A6.A3BA12.2A8.C25.A4BA78.2A3.C.C2A4.A9.3A5.ABA6BA13.2A2C2AC2BA10.C\$2.2A3.C4.2C4AC2A7.ABA14.2A2.2A30.2B.BA77.2AC3.B2CA4.ACA17.2BAC2A.BA14.B2C2BA.2A9.2A3.C\$4.BC6.2C3.ABA9.A8.C.C5.2A2CA30.2AC2A77.ACAB4.B4.AC.CA16.2A2C3.2A16.A2B2.A10.A2BA\$12.2B4.A17.2A2.BA5.3A33.A79.2AC2A9.ACA19.AB2.C19.A2BA12.A2CA14.C2.B\$34.C.2B.A2BA5.A115.5A.AC6.A22.C22.3A13.ACA13.B2AC2A\$33.B.A2B2.2BA122.5A.2A68.A13.C.2AB2A\$32.C.A.2BA2CBA123.2ACB.2A22.3A42.2A16.A.BA\$34.AB4A2CAC2.2A119.A3B23.A3BA13.A27.2A17.ABA\$34.A2BA2.AC.A.B4A118.3A23.AB.BA12.A.A26.2A16.A2.A\$27.2A2.C.C.ABA3.ABA2.2C2BA49.B2.C90.2AC2A11.A3.A43.ABA\$26.2AC.C3.C.C2A2.2A3BCB.2B48.2AC2AB91.A12.A5CA42.3A\$27.A4CB4CA5.A3BA2BA48.2AB2A.C102.3A3C3A\$28.A2C.C.2CA8.2AC.C49.AB.A104.3A5.3A\$29.A2C.2CA63.ABA104.AC2A2.C2.2ACA\$30.2AC2A64.A2.A102.A2C2A5.2A2CA\$31.3A14.C51.ABA103.AC2A5.2ACA\$100.3A104.3A2.C2.3A\$48.C159.9A\$209.7A\$47.C.C160.A3CA\$48.B162.ACA\$212.A\$118.BCB\$118.A2CA\$118.2AC.A\$119.2A2.A\$119.2C.B\$117.3A2C\$117.AB.AB!`

Sparky ships can also be combined to make rakes which produce the diagonal and orthogonal ships mentioned earlier in this thread. Here are three rather bulky rakes -- they could probably be made smaller, but at least they work. The bottom rake makes c/7 diagonal ships traveling forward, the middle rake makes c/7 diagonal ships traveling backward, and top rake drops a small c/2 orthogonal ship onto middle stream. Just for fun, a final sparky ship meets any ships which aren't thinned out and converts them to knightships.
`x = 2613, y = 930, rule = 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3.A\$134.A11.C3.3A125.3CA91.B2C2.A\$133.A.A15.A126.B2C2A91.A2C2A\$133.ACA11.2C130.3A93.3A\$134.A32.C112.A95.A\$139.B27.C\$137.B2CB\$136.2A2C.C\$136.A.CB3.C\$112.A23.CB3.C.2A197.A\$110.2AC2A11.2A13.B4A9.BA184.3A\$109.A2B.2A11.3A12.A2CA8.A3BA182.2A2CA\$108.A2B2AC13.3A12.BA9.2BA.2A181.A2.2CB\$108.AB.A15.B3A21.ACB2.2A180.B3.B2C\$107.AB.AC6.3A4.B3C3A20.ABA2.C180.C5.A.A\$108.AB8.3A3.2A3C.A22.A186.2C3.2A\$108.A2BA5.C.3A3.2A2.A\$109.3A9.3A2.3A\$112.C8.A2B3.A209.C5.ABA\$122.2A218.A.BA\$342.3A\$147.2A14.2A14.2A14.2A14.2A14.2A14.2A14.2A14.2A14.2A14.2A14.2A30.2A14.2A\$147.2A14.2A14.2A14.2A14.2A14.2A14.2A14.2A14.2A14.2A14.2A14.2A30.2A14.2A\$117.C.C258.3A\$115.2A2.BA257.3A4.2A\$115.2B.3BA255.A3.4A2.A\$114.A2BA.2BA34.3A216.AB.3B.2B.B.CA\$112.5AC2.BA4.3A26.A2BA215.A8B2A2B2CA\$111.A2BA5.2A3.ABCA8.3A14.A2B.A3.2A209.A3B5AB2A2BACB\$111.AB4.C2.2A2.AB2A9.A2BA13.AB6.2BA207.2ACBA5.AB.2A\$110.AB.AC4.C4.A.A4.CB2.3A.BA13.2A3.C.BABA207.A.2A7.C2.C\$111.AB.2BA7.A2BA2.3C2AB2A2BA15.C5.2CA3.C203.A2B\$111.A2B2AB2A6.ABA.B2C2.AC2A2B10.5A3.C2.BCA4.C204.2A5.AB.2AC\$112.AB2AB2ABA5.A3.AB3.A2.2A9.A5BA6.A216.AC.3A\$113.A2B.C3A16.B9.B2C5B2CB222.4A\$114.2A3CA16.C7.A.AB2C5.2CBA.A7.C211.3A\$116.2AB24.B3A11.3AB6.C194.3A\$117.A25.2CAC2.C5.C2.CA2C187.A11.2ABACA\$143.BA3.C7.C3.AB186.ABA10.AB.C2A7.A2BA\$145.C6.A6.C187.2AC2A9.A2.BA8.ABABA\$151.ACA192.2A.AB11.C10.C.BA2BA\$150.ACACA190.2AC27.A.2BA\$149.2ACBC2A189.ACAB7.A18.ACB.A\$150.A3CA190.2AC7.3A17.3BA\$151.3A192.2A2.2C2.B3.A7.C5.C2.2BA\$152.A194.2A5.C4.A5.C6.A4BA\$349.BC8.2A11.2B.2B\$359.2A11.2AC2A\$357.C.C14.A\$390.A\$389.ACA\$388.A3CA\$387.A2BA2BA\$386.A2B3A2BA\$385.ABABA.ABABA\$386.A2B3A2BA\$387.A5BA\$388.ABABA\$389.ABA\$390.A!`

==========Rule change==========

In the closely related rule 237/34578/4, the small ship with an enormous spark used above continues to have a big spark but also becomes a side rake for a slow (9c/43) orthogonal ship, which has useful sparks of its own.

Here's the orthogonal 9c/43 ship, and the sparky ship rake that can produce it:
`x = 120, y = 11, rule = 237/34578/49.A\$8.A.A\$7.A3.A\$8.3A\$9.A\$2.2AC9.C2A98.A\$2.3A2.5C2.3A96.2AB2A\$.AC.3A5C3A.CA95.AB.BA\$2A2CA2B5A2BA2C2A92.2A2.A2.A\$.BC.11A.CB93.AB2.C2.CA\$3.C11.C95.3A3.BCB!`

Three sparky ship rakes can be combined to make a knightship backrake, as well as two streams of 9c/43 ships:
`x = 46, y = 57, rule = 237/34578/411\$13.A16.C\$11.4A13.C2.BA\$11.ABACA11.B4.BA\$10.A2.AC2A9.2ACBCA2BA\$8.2A2.ACAB6.2A2.2ACB3ACA\$8.AB.A3C6.2ACB.3A3.AC2A\$7.AB.AC.2CA4.ABC.3C2A3.A2CA\$8.AB3.A2BA4.2A4CB5.A.A\$8.2A3.BABA5.3AB8.A\$10.A2.A2BA7.A\$11.A2.BA\$12.AB2A\$12.A2BA\$13.ABA\$25.2A\$23.3ABA\$9.3A10.2ACB2AC7.2A\$9.ABA10.AC.2A8.4A\$7.2A2.A11.B.C3.C4.BC4A\$7.AB20.C3.C.CA.3A\$6.AB.AC6.A3.C13.CABACA\$7.AB7.A.A6.C2.C5.2C4A\$7.2A2.2B2.AC2.A7.B5.B2C2A\$9.A4C.B3C.A4.CB6.5A\$10.AB5.2C2.A11.2AC2A\$18.2C2A12.ABA4.2C\$12.2C4.BCB14.A3\$40.2A\$40.A2C\$17.ABA21.2A\$16.A2BA22.A\$16.AB2A\$15.A2.BA\$14.A2.A2BA7.A\$12.2A3.BABA5.3AB8.A\$12.AB3.A2BA4.2A4CB5.A.A\$11.AB.AC.2CA4.ABC.3C2A3.A2CA\$12.AB.A3C6.2ACB.3A3.AC2A\$12.2A2.ACAB6.2A2.2ACB3ACA\$14.A2.AC2A9.2ACBCA2BA\$15.ABACA11.B4.BA\$15.4A13.C2.BA\$17.A16.C!`

9c/43 ships by themselves can also be used to make a knightship-producing rake:
`x = 80, y = 95, rule = 237/34578/48\$26.3A\$25.5A\$24.B5CB\$22.C2.5C2.C\$19.3AC9.C3A\$18.CABA11.ABAC\$20.B13.B\$18.CB15.BC\$27.A\$26.A.A\$24.2A3.2A\$24.2A3.2A\$24.2A3.2A12.BCB\$26.3A13.A3C\$26.3A8.2A3.CACB\$37.2A3.CACA\$42.BCA9.C2\$50.A7.A\$49.B2A5.2AB\$49.2C2A3.2A2C\$48.B2CA5.A2CB\$49.ACBC3.CBCA\$50.A2B3A2BA\$51.A2BA2BA\$52.A3CA\$53.ACA\$54.A2\$47.2A\$47.2A6\$14.2A\$13.AC5AC\$12.2A.A.AB\$13.2A2.A2.C\$14.C3.AB\$16.C.A\$17.B7\$47.2A\$45.2A2.2A\$45.2B2.2A\$44.A2B2.2A\$44.3A.C\$44.2A\$44.A.A\$45.B2A\$45.ABA\$45.2BA\$44.A.2B2A\$44.3A2BC2A\$40.A6.2A.2A\$39.B.B7.AC\$37.BC3.CB\$36.2A5C2A\$35.2A2.3C2.2A\$35.2A.B.B.B.2A8.3A\$35.2A.A.C.A.2A7.BACAB\$37.A2.C2.A9.2CA2C\$38.A3.A9.C2B.2BC\$39.3A\$39.3A!`

===

For a number of rules in the 2378/345/4 rule family, it is possible to make a rake which produces knightships traveling forward along almost the same axis as the rake. The ones I've put together so far don't have the right period, and the forward traveling knightships get clobbered shortly after being formed. When I get one working I'll post it, or, since I think all the necessary components are listed above, perhaps someone reading this will post one first.
EricG

Posts: 199
Joined: August 19th, 2011, 5:41 pm
Location: Chicago-area, USA

### Re: B345/S23/C4

Here's an orthogonal knightship producing forward rake in 237/34578/4 using 9c/43 ships, so that the knightships race ahead of the rake. Knightships also optionally stream backwards. This isn't the reaction I had in mind in my last post, so there is plenty more to be constructed....

`x = 2244, y = 2224, rule = 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EricG

Posts: 199
Joined: August 19th, 2011, 5:41 pm
Location: Chicago-area, USA

### Re: B345/S23/C4

Wooo!

Here is something I've wanted to build for quite some time: a "completely forward rake", by which I mean a rake that produce spaceships which travel faster than the rake and ahead of it, in the same axis as the rake itself. Or in plain language, a rake that shoots ships directly ahead of itself.

As above, I'm posting a rough draft version - it can be simplified and, especially, it can be condensed, but here it is:
`x = 693, y = 531, rule = 237/34578/4321.C\$319.C3.C\$319.C3.C\$330.A\$314.A14.B3A\$313.B.B13.2C2A\$313.C.C13.2C3A\$329.B4A\$321.A8.3A\$320.3A\$319.A3CA\$318.A.CAC.A\$317.A2.ABA2.A\$318.A.ACA.A\$319.A3.A\$320.A.A\$321.A24\$338.2A9.2A\$338.2AC7.C2A\$337.AC.A7.A.CA\$338.ABA7.ABA\$338.4A5.4A\$340.9A\$341.AC3ACA\$342.AC.CA\$343.3A\$317.A26.A\$316.ACA\$314.AB3CBA\$314.A5BA\$313.A2C3B2CA\$312.2ACACACAC2A\$313.ACACBCACA\$314.A2CB2CA\$315.A3CA\$316.3A\$317.A5\$360.C2\$311.9A36.A7.A\$307.C2.3A5B3A2.C31.B2A5.2AB\$306.2A2.B2C5B2CB2.2A30.2C2A3.2A2C\$306.2A.A2BA5.A2BA.2A29.B2CA5.A2CB\$307.A3BA7.A3BA31.ACBC3.CBCA\$308.AB11.BA33.A2B3A2BA\$314.3A40.A2BA2BA\$314.3A41.A3CA\$313.5A41.ACA\$314.3A43.A\$315.A5\$299.B13.B\$298.C.C11.C.C3\$305.3A\$305.3A\$304.A3.A\$303.2A.A.2A\$302.4AC4A\$303.3A.3A\$304.5A\$305.3A\$306.A3\$325.2A5.2A\$325.2A5.A.A\$333.2A2\$316.2A31.2A\$316.2A31.2A2\$328.2A\$328.2A37\$325.2A5.2A\$325.2A5.A.A\$333.2A2\$316.2A31.2A\$316.2A31.2A2\$328.2A\$328.2A37\$325.2A5.2A\$325.2A5.A.A\$333.2A2\$316.2A31.2A\$316.2A31.2A2\$328.2A\$328.2A28\$314.ABA\$313.A2BAC2A.2A\$314.2B3.3BA\$314.AB4.A2.2A\$314.3AC5.2A\$314.AB4.A2.2A\$314.2B3.3BA\$313.A2BAC2A.2A6.B\$314.ABA10.BC.BAB28.A4.C\$327.A2CAC2A26.BAB\$328.2AC2A27.2CA\$329.3A27.B.2A6.2A\$358.A2.2BA5.2BA\$359.B.2A6.2A\$360.2CA\$360.BAB\$361.A4.C29\$269.ABA\$268.A2BAC2A.2A\$269.2B3.3BA\$269.AB4.A2.2A\$269.3AC5.2A\$269.AB4.A2.2A\$269.2B3.3BA\$268.A2BAC2A.2A\$269.ABA134.A4.C\$405.BAB\$405.2CA\$404.B.2A6.2A\$403.A2.2BA5.2BA\$404.B.2A6.2A\$405.2CA\$405.BAB\$406.A4.C29\$224.ABA\$223.A2BAC2A.2A\$224.2B3.3BA\$224.AB4.A2.2A\$224.3AC5.2A\$224.AB4.A2.2A\$224.2B3.3BA\$223.A2BAC2A.2A\$224.ABA224.A4.C\$450.BAB\$450.2CA\$449.B.2A6.2A\$448.A2.2BA5.2BA\$449.B.2A6.2A\$450.2CA\$450.BAB\$451.A4.C29\$179.ABA\$178.A2BAC2A.2A\$179.2B3.3BA\$179.AB4.A2.2A\$179.3AC5.2A\$179.AB4.A2.2A\$179.2B3.3BA\$178.A2BAC2A.2A\$179.ABA314.A4.C\$495.BAB\$495.2CA\$494.B.2A6.2A\$493.A2.2BA5.2BA\$494.B.2A6.2A\$495.2CA\$495.BAB\$496.A4.C29\$134.ABA\$133.A2BAC2A.2A\$134.2B3.3BA\$91.A42.AB4.A2.2A\$90.ABA41.3AC5.2A\$90.ABA41.AB4.A2.2A\$134.2B3.3BA\$133.A2BAC2A.2A\$87.C7.C38.ABA404.A4.C\$540.BAB\$540.2CA\$91.A447.B.2A6.2A\$88.B2AB2AB443.A2.2BA5.2BA\$87.2ACABAC2A443.B.2A6.2A\$88.BC3.CB445.2CA\$90.B.B447.BAB\$91.A449.A4.C4\$601.B\$600.C.C6\$600.3A\$599.BACAB\$599.2CA2C\$598.C2B.2BC3\$100.2A\$100.2A3\$104.2A\$104.2A2\$160.A\$37.A121.B.B429.2A\$36.B.B120.C.C429.2A\$36.C.C2\$89.ABA495.2A\$88.A2BAC2A.2A489.2A\$89.2B3.3BA62.A\$37.A51.AB4.A2.2A58.2AB2A\$35.2AB2A49.3AC5.2A58.2B.2B\$35.2B.2B49.AB4.A2.2A56.CB2A.2ABC\$33.CB2A.2ABC47.2B3.3BA\$88.A2BAC2A.2A\$89.ABA68.C425.A4.C\$37.C149.A397.BAB\$10.A175.ABA396.2CA\$9.ABA173.A3BA394.B.2A6.2A\$8.A3BA157.2A12.7A392.A2.2BA5.2BA\$7.7A12.2A142.2A4.2A5.2AC3.C2A392.B.2A6.2A\$6.2AC3.C2A5.2A4.2A148.2A6.A2CA2CA394.2CA\$7.A2CA2CA6.2A163.2AC2A395.BAB\$8.2AC2A173.3A397.A4.C\$9.3A\$532.A\$531.ACA121.A\$521.2A8.3A120.ACA\$521.2A9.A121.3A8.2A\$655.A9.2A4\$505.B\$180.2A322.C.C175.B\$16.2A162.2A320.C5.C172.C.C\$16.2A482.2A2.BCB2.2A168.C5.C\$500.AB.B3CB.BA166.2A2.BCB2.2A\$500.A4BA4BA166.AB.B3CB.BA\$501.A2B.B.2BA167.A4BA4BA\$157.BCB342.A2B.2BA169.A2B.B.2BA\$38.BCB115.A2C2A342.2AB2A171.A2B.2BA\$37.2A2CA113.2AC2A345.A5.2A167.2AB2A\$38.2AC2A113.3A352.2A162.2A5.A\$39.3A115.A517.2A\$40.A3\$550.C\$549.B2.C84.C\$548.C5.C80.C2.B\$554.2A77.C5.C\$550.C3.ABA75.2A\$554.BA75.ABA3.C\$180.2A368.CA3BA76.AB\$16.2A162.2A369.A2BA77.A3BAC\$16.2A534.A80.A2BA\$635.A4\$182.C11.C\$3.C11.C157.A6.BC.11A.CB\$.BC.11A.CB6.A147.3A4.2A2CA2B5A2BA2C2A308.B\$2A2CA2B5A2BA2C2A4.3A145.A3CA4.AC.3A5C3A.CA308.CBC173.B\$.AC.3A5C3A.CA4.A3CA143.2AC.C2A4.3A2.5C2.3A313.C170.CBC\$2.3A2.5C2.3A4.2AC.C2A143.2A.2A5.2AC9.C2A313.AB167.C\$2.2AC9.C2A5.2A.2A145.3A13.A316.C.BA2.C165.BA\$9.A13.3A161.3A315.B.2C167.C2.AB.C\$8.3A175.A3.A315.A.2AC168.2C.B\$7.A3.A175.A.A317.3A167.C2A.A\$8.A.A177.A319.A4.2A163.3A\$9.A501.2ABA158.2A4.A\$510.2AB2A158.AB2A\$511.2A160.2AB2A\$675.2A\$502.5A\$501.A5BA173.5A\$499.B2C5B2CB9.A160.A5BA\$496.A.AB2C5.2CBA.A5.ACA147.A9.B2C5B2CB\$495.B3A11.3AB2.AB3CBA144.ACA5.A.AB2C5.2CBA.A\$495.2CAC2.C5.C2.CA2C2A2B3A2BA141.AB3CBA2.B3A11.3AB\$495.BA3.C7.C3.AB.AB.3A.BA140.A2B3A2B2A2CAC2.C5.C2.CA2C\$497.C6.A6.C3.2A2.A2.2A140.AB.3A.BA.BA3.C7.C3.AB\$503.ACA11.AB.BA142.2A2.A2.2A3.C6.A6.C\$502.A3CA10.2AB2A144.AB.BA11.ACA\$501.2A3C2A11.A146.2AB2A10.A3CA\$502.A3CA161.A11.2A3C2A\$503.3A175.A3CA\$504.A177.3A\$683.A!`

Edit: Here's a smaller version.
`x = 153, y = 165, rule = 237/34578/480.C13.C3\$87.A\$86.ABA\$85.A3BA\$84.7A\$83.A2B3A2BA\$83.ABAB.BABA\$83.ABABABABA\$58.A25.A2BA2BA\$57.3A25.A3BA\$56.2AC2A7.2A5.2A9.3A\$57.ABA8.2A5.A.A\$58.A17.2A5\$71.2A\$71.2A\$47.5A\$46.A5BA\$44.B2C5B2CB\$41.A.AB2C5.2CBA.A\$40.B3A11.3AB\$40.2CAC2.C5.C2.CA2C\$40.BA3.C7.C3.AB\$42.C6.A6.C\$48.ACA\$47.A3CA\$46.2A3C2A\$47.A3CA45.2A9.2A\$48.3A46.2AC7.C2A\$49.A46.AC.A7.A.CA\$97.ABA7.ABA\$97.4A5.4A\$99.9A\$100.AC3ACA\$101.AC.CA\$23.2A9.2A66.3A\$22.A2B9.2BA66.A\$22.A.2A7.2A.A\$22.2ACBA5.ABC2A\$23.A3B5A3BA\$24.A9BA\$25.AB.3B.BA\$27.A3.A\$28.3A\$28.3A3\$60.A\$59.A.A\$59.A.A\$60.A2\$53.2A13.2A5.2A\$52.A.2A12.2A5.A.A\$52.A2B21.2A\$53.2A68.2A9.2A\$59.2A31.2A28.A2B9.2BA\$59.2A31.2A28.A.2A7.2A.A\$122.2ACBA5.ABC2A\$71.2A50.A3B5A3BA\$71.2A51.A9BA\$125.AB.3B.BA\$127.A3.A\$128.3A\$39.2A87.3A\$39.2A3\$22.A\$21.ACA\$19.AB3CBA\$19.A5BA\$18.A2C3B2CA84.2A\$17.2ACACACAC2A83.2A\$18.ACACBCACA\$19.A2CB2CA\$20.A3CA7.2A\$21.3A8.2A\$22.A51.C\$73.C2.C\$71.A.A2.B\$71.AB.BA\$71.2AB2A\$73.A66.A\$118.2A19.ABA\$118.2A19.ABA3\$114.2A20.C7.C\$114.2A\$54.A\$53.3A84.A\$52.2ACBA80.B2AB2AB\$53.3A80.2ACABAC2A\$8.A5.A39.A82.BC3.CB\$7.A2B3A2BA123.B.B\$7.4BA4B124.A\$7.2A2.A2.2A98.3A\$8.C2.C2.C98.A2BA\$8.A5.A98.AB2.2A\$8.AB3.BA97.ABA2.2A\$9.BA.AB81.C17.AB2.2A\$8.AB3.BA98.A2BA29.C\$8.2A3.2A76.A7.A14.3A\$10.3A77.B2A5.2AB41.A7.A\$10.3A77.2C2A3.2A2C40.B2A5.2AB\$89.B2CA5.A2CB39.2C2A3.2A2C\$46.2A42.ACBC3.CBCA39.B2CA5.A2CB\$14.2A29.A.A43.A2B3A2BA41.ACBC3.CBCA\$14.A.A22.2A3.A47.A2BA2BA43.A2B3A2BA\$17.A3.2A16.2A4.A47.A3CA45.A2BA2BA\$16.A4.2A22.2A9.A37.ACA47.A3CA\$5.A9.2A27.C2.B7.ACA37.A49.ACA\$4.ACA7.B2.C28.C6.AB3CBA44.2A40.A\$2.AB3CBA6.C37.A5BA44.BAC29.2A\$2.A5BA43.A2C3B2CA42.3A2.C26.CAB\$.A2C3B2CA41.2ACACACAC2A40.3A.C.2A23.C2.3A\$2ACACACAC2A41.ACACBCACA41.2A3.A.BA21.2A.C.3A\$.ACACBCACA43.A2CB2CA47.A2BA20.AB.A3.2A\$2.A2CB2CA45.A3CA48.4A20.A2BA\$3.A3CA47.3A48.BC.B21.4A\$4.3A49.A49.3C23.B.CB\$5.A100.BAB24.3C\$107.A25.BAB\$49.2A51.BCB29.A\$11.2A36.2A51.A2CA31.BCB\$11.2A90.3A30.A2CA\$104.A.C29.3A\$135.C.A\$103.BA\$30.2AC2.2A65.2ACA31.AB\$25.2A2.CA5.A66.ABA30.AC2A\$25.A5.B3.A68.A31.ABA\$26.A3.2AB2A102.A\$27.8A\$27.3A\$100.3A\$99.2AC2A.A33.3A\$99.2A2.3AB2.A2.B23.A.2AC2A\$94.A9.2A2C3A2CB15.B2.A2.B3A2.2A\$93.ABA9.4CB4C14.B2C3A2C2A9.A\$74.B17.A3BA8.2B2.B2.2B14.4CB4C9.ABA\$70.C2.B.CB14.7A7.A7.A14.2B2.B2.2B8.A3BA\$50.C20.ACA2CA13.2AC3.C2A7.B5.B15.A7.A7.7A\$11.C37.B2.C18.2AC2A15.A2CA2CA8.BC3.CB16.B5.B7.2AC3.C2A\$9.C2.B36.A22.3A17.2AC2A10.CB.BC17.BC3.CB8.A2CA2CA\$12.A37.A42.3A10.AC3.CA17.CB.BC10.2AC2A\$11.A38.ABA53.7A16.AC3.CA10.3A\$9.ABA34.2A3.2A54.A3BA17.7A\$9.2A3.2A22.2A5.ACA60.ABA19.A3BA\$14.ACA5.2A14.A.2A.2A.A62.A21.ABA\$15.A.2A.2A.A16.2BA2B11.3A73.A\$3.3A11.2BA2B17.A2BA2BA9.A3BA\$2.A3BA9.A2BA2BA16.A5BA9.AB.BA\$2.AB.BA9.A5BA15.C.ABCBA.C8.2AC2A\$2.2AC2A8.C.ABCBA.C15.B2AB2AB11.A\$4.A11.B2AB2AB17.A3BA\$17.A3BA18.A3BA\$17.A3BA19.3A\$18.3A!`

Further edit: And here's a smaller knightship producing forward rake.
`x = 171, y = 206, rule = 237/34578/4124.3A7.3A\$95.B2.A2.B22.AB9.BA\$94.B2C3A2CB21.2A4.C4.2A\$94.4CB4C23.A7.A\$94.2B2.B2.2B24.A5.A\$94.A7.A25.2A.2A\$95.B5.B26.2AB2A\$95.BC3.CB28.A\$96.CB.BC\$95.AC3.CA\$95.7A\$96.A3BA\$97.ABA\$98.A4\$106.2A\$106.2A6\$82.B2.A2.B\$81.B2C3A2CB\$81.4CB4C18.2A\$81.2B2.B2.2B18.2A\$81.A7.A\$82.B5.B51.A\$82.BC3.CB50.ACA\$83.CB.BC51.BCB\$82.AC3.CA\$82.7A\$83.A3BA\$84.ABA\$85.A\$129.2A8.3A\$129.2A6.C2AC2AC\$136.BA.ACA.AB\$137.C5.C\$139.C.C\$140.B6\$59.A\$58.ACA\$56.AB3CBA\$56.A5BA\$55.A2C3B2CA\$54.2ACACACAC2A\$55.ACACBCACA\$56.A2CB2CA\$57.A3CA\$58.3A\$59.A5\$147.B\$146.C.C\$144.C5.C\$142.2A2.BCB2.2A\$50.A91.AB.B3CB.BA\$49.3A45.A44.A4BA4BA\$48.2AC2A43.4A43.A2B.B.2BA\$49.ABA43.ACABA44.A2B.2BA\$50.A44.BCA.CA44.2AB2A\$96.2ABA47.A\$97.3A5\$30.A\$29.ACA\$29.BCB2\$129.2A\$129.2A3\$29.3A8.2A\$27.C2AC2AC6.2A\$26.BA.ACA.AB\$27.C5.C\$29.C.C120.C11.C\$30.B119.BC.11A.CB\$149.2A2CA2B5A2BA2C2A\$150.AC.3A5C3A.CA\$136.2A13.3A2.5C2.3A\$136.2A13.2AC9.C2A\$158.A\$157.3A\$132.2A22.A3.A\$132.2A23.A.A\$158.A5\$136.A\$113.B21.3A\$112.C.C19.A3C2A24.B\$110.C5.C16.AC2AC2B23.C.C\$79.A28.2A2.BCB2.2A13.A4C2BCA20.C5.C\$78.3A27.AB.B3CB.BA12.2AC2BA2B2CA17.2A2.BCB2.2A\$76.2A3CA26.A4BA4BA13.A4C2BCA18.AB.B3CB.BA\$23.B52.2BC2ACA26.A2B.B.2BA15.AC2AC2B19.A4BA4BA\$22.C.C50.AC2B4CA26.A2B.2BA17.A3C2A20.A2B.B.2BA\$20.C5.C47.A2C2BA2BC2A26.2AB2A19.3A23.A2B.2BA\$18.2A2.BCB2.2A46.AC2B4CA29.A22.A25.2AB2A\$18.AB.B3CB.BA47.2BC2ACA81.A\$18.A4BA4BA47.2A3CA\$19.A2B.B.2BA50.3A44.3A\$20.A2B.2BA52.A45.3B22.3A\$21.2AB2A99.3B22.3B\$23.A101.3A22.3B\$150.3A2\$123.A2BA\$123.A2BA24.A2BA\$123.A2BA24.A2BA\$151.A2BA2\$122.3A\$121.A3BA27.3A\$40.2A79.2A.2B26.A3BA\$40.2A80.C.2BA25.2B.2A\$124.2B25.A2B.C\$119.A.C2.2A26.2B\$118.ABA.BA28.2A2.C.A\$118.ABA33.AB.ABA\$157.ABA2\$6.C11.C\$4.BC.11A.CB\$3.2A2CA2B5A2BA2C2A\$4.AC.3A5C3A.CA65.C2.B29.2AC\$5.3A2.5C2.3A13.2A50.B2AC2A27.ABA35.C2A\$5.2AC9.C2A13.2A49.C.2AB2A26.ABCA11.BA23.ABA\$12.A74.A.BA21.A5.2AB10.A2CA9.AB11.ACBA\$11.3A74.ABA20.B.B5.A11.5A7.A2CA10.B2A5.A\$10.A3.A22.2A48.A2.A18.BC3.CB6.2A3.4AC.BA7.5A11.A5.B.B\$11.A.A23.2A48.ABA18.2A5C2A5.2A.CB3A3C2A8.AB.C4A3.2A6.BC3.CB\$12.A74.3A17.2A2.3C2.2A8.6CA10.2A3C3ABC.2A5.2A5C2A\$107.2A.B.B.B.2A5.C2.3C.CB13.A6C8.2A2.3C2.2A\$107.2A.A.C.A.2A7.B3AB16.BC.3C2.C5.2A.B.B.B.2A\$109.A2.C2.A9.A3BA18.B3AB7.2A.A.C.A.2A\$110.A3.A11.ABA19.A3BA9.A2.C2.A\$34.A76.3A13.A21.ABA11.A3.A\$33.3A21.B53.3A36.A13.3A\$6.B24.2A3CA19.C.C105.3A\$5.C.C23.2BC2ACA16.C5.C\$3.C5.C20.AC2B4CA13.2A2.BCB2.2A\$.2A2.BCB2.2A17.A2C2BA2BC2A12.AB.B3CB.BA\$.AB.B3CB.BA18.AC2B4CA13.A4BA4BA\$.A4BA4BA19.2BC2ACA15.A2B.B.2BA\$2.A2B.B.2BA20.2A3CA17.A2B.2BA\$3.A2B.2BA23.3A19.2AB2A\$4.2AB2A25.A22.A\$6.A2\$43.3A\$18.3A22.3B\$18.3B22.3B\$18.3B22.3A\$18.3A2\$44.A2BA\$16.A2BA24.A2BA\$16.A2BA24.A2BA\$16.A2BA2\$46.3A\$15.3A27.A3BA\$14.A3BA26.2B.2A\$14.2A.2B25.A2B.C\$15.C.2BA25.2B\$17.2B26.2A2.C.A\$12.A.C2.2A28.AB.ABA\$11.ABA.BA33.ABA\$11.ABA5\$49.C2A\$12.2AC35.ABA\$11.ABA23.AB11.ACBA\$10.ABCA11.BA9.A2CA10.B2A5.A\$5.A5.2AB10.A2CA7.5A11.A5.B.B\$4.B.B5.A11.5A7.AB.C4A3.2A6.BC3.CB\$2.BC3.CB6.2A3.4AC.BA8.2A3C3ABC.2A5.2A5C2A\$.2A5C2A5.2A.CB3A3C2A10.A6C8.2A2.3C2.2A\$2A2.3C2.2A8.6CA13.BC.3C2.C5.2A.B.B.B.2A\$2A.B.B.B.2A5.C2.3C.CB16.B3AB7.2A.A.C.A.2A\$2A.A.C.A.2A7.B3AB18.A3BA9.A2.C2.A\$2.A2.C2.A9.A3BA19.ABA11.A3.A\$3.A3.A11.ABA21.A13.3A\$4.3A13.A36.3A\$4.3A!`
EricG

Posts: 199
Joined: August 19th, 2011, 5:41 pm
Location: Chicago-area, USA

### Re: B345/S23/C4

I remember there being a collision between a knightship and a still life that produced a rake, but I unfortunately lost the data.

EDIT: Found it!
`x = 26, y = 6, rule = 237/34578/423.2A\$3.2A18.A.A\$3.3A18.2A\$4.C2A\$4.2A\$C!`

Also, a two-stage eater for the 9c/43 ship:
`x = 34, y = 4, rule = 237/34578/432.2A\$.2A29.2A\$AC2A\$.2A!`

Knightship side rake:
`x = 130, y = 28, rule = 237/34578/4121.3A\$121.ABA\$121.A2.A\$125.A\$126.2A\$126.2A\$123.C3.BA\$126.2A\$126.2A\$125.A\$121.A2.A\$121.ABA\$121.3A3\$2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A13.3A\$A.A6.A.A6.A.A6.A.A6.A.A6.A.A6.A.A6.A.A6.A.A6.A.A6.A.A6.A.A6.A.A12.A2BA\$.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A11.C2.2BA\$124.4BA\$115.2A4.C.BCB.BA\$115.A.A2.B2.2CAB.BA\$2.2A112.2A3.C.BCB.BA\$2.2A120.4BA\$122.C2.2BA\$123.A2BA\$16.2A105.3A\$15.AC2A\$16.2A!`
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1723
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: B345/S23/C4

Diagonal spaceship forward knightship rake?
A rake made of knightships producing diagonal spaceships:
`x = 107, y = 37, rule = 2378/345/443.C\$43.ABA2.A\$25.3A15.AB5A\$24.A.BA16.C3ACBA6.C\$24.A2BA14.CAB2C3A7.ABA2.A\$24.ABA16.AB4A8.AB5A\$12.A31.3A11.C3ACBA\$8.C2.3A24.2A16.C2B2C3A\$6.2A2.CBC.A22.C3A15.A2B4A\$6.2B3.ABC2A24.2A13.AB4A9.3A\$5.A2B3.2ABA24.AC2A11.BA.A12.3A18.3A9.3A\$6.A2C4.C24.ABACA11.2CA.A10.A3.2A16.3A8.A.BA\$7.ACB27.A.AC2A8.C2.2C.B5.A4.A4.BA15.A3.2A6.A2BA\$8.A2C3.C10.2A10.AB.2A8.2B3.2C5.3A3.2A2.3A3.A10.A4.BA6.ABA\$9.AC2BA11.2A10.4A10.C3.2B4.2A2CB11.A.B9.2A2.3A\$10.A2BA46.ABA.2C10.A3.CB\$3.2A6.A48.AB2A2C9.B2CA2C2A\$2.2ACA34.2A20.B.BA9.2C2ACA.A\$.A2C.CA32.A2BA19.3BA9.B2A2.ABA16.A\$2AC.C2A33.3BC16.CA.BA15.2A16.A2B5A\$.A3CA31.C2.2A12.2A5.2A7.3A25.A6BA\$2.3A35.2A4.2A6.2A14.ABA13.2A10.2A.3B.CA\$3.A34.CA2BAC2.2A20.2A2.A6.2A5.2A11.BC2.2BA\$39.A2BA25.AB9.2A18.AC4BA\$40.2A26.A.A22.3A4.A2BA\$69.2A6.A14.A3BA4.A\$60.C15.A.B12.A2B.BA\$58.C.3A12.A3.CB10.2A2.2A\$59.BABA11.B2CA2C2A10.C.C\$60.2A12.2C2ACA.A\$63.A10.B2A2.ABA\$62.ACA14.2A\$61.A3CBA\$60.A2BA2BA\$60.2B2AB.CA\$60.2A2.C2A\$65.2A!`

Converted to knightship knightrake:
`x = 148, y = 54, rule = 2378/345/46.BC5A\$6.BC4BA\$8.A2B.CA\$6.BC2.2BA\$5.2ACA3BA\$5.2A.2BA\$5.2AC2A\$5.A3CA22.A\$4.7A20.3A\$3.9A18.A3CA\$2.3A2.C2.3A16.A2C.C2A\$.AC2A5.2ACA15.2A2.2A\$A2C2A5.2A2CA\$.AC2A2.C2.2ACA\$2.3A5.3A\$3.3A3C3A\$4.A5CA\$5.A3.A22.C.C49.C\$6.A.A22.AB2.2A47.ABA2.A\$7.A22.A2BA.ABA28.3A15.AB5A\$30.A2B2.3A27.A.BA16.C3ACBA6.C\$30.AB6.C26.A2BA14.CAB2C3A7.ABA2.A\$30.2A4.A28.ABA16.AB4A8.AB5A\$30.2A3.3BC14.A31.3A11.C3ACBA\$32.2A3BA11.C2.3A24.2A16.C2B2C3A\$32.5A10.2A2.CBC.A22.C3A15.A2B4A\$47.2B3.ABC2A24.2A13.AB4A9.3A\$46.A2B3.2ABA24.AC2A11.BA.A12.3A18.3A9.3A\$47.A2C4.C24.ABACA11.2CA.A10.A3.2A16.3A8.A.BA\$48.ACB27.A.AC2A8.C2.2C.B5.A4.A4.BA15.A3.2A6.A2BA\$49.A2C3.C10.2A10.AB.2A8.2B3.2C5.3A3.2A2.3A3.A10.A4.BA6.ABA\$50.AC2BA11.2A10.4A10.C3.2B4.2A2CB11.A.B9.2A2.3A\$51.A2BA46.ABA.2C10.A3.CB\$44.2A6.A48.AB2A2C9.B2CA2C2A\$43.2ACA34.2A20.B.BA9.2C2ACA.A\$42.A2C.CA32.A2BA19.3BA9.B2A2.ABA16.A\$41.2AC.C2A33.3BC16.CA.BA15.2A16.A2B5A\$42.A3CA31.C2.2A12.2A5.2A7.3A25.A6BA\$43.3A35.2A4.2A6.2A14.ABA13.2A10.2A.3B.CA\$44.A34.CA2BAC2.2A20.2A2.A6.2A5.2A11.BC2.2BA\$80.A2BA25.AB9.2A18.AC4BA\$81.2A26.A.A22.3A4.A2BA\$110.2A6.A14.A3BA4.A\$101.C15.A.B12.A2B.BA\$99.C.3A12.A3.CB10.2A2.2A\$100.BABA11.B2CA2C2A10.C.C\$101.2A12.2C2ACA.A\$104.A10.B2A2.ABA\$103.ACA14.2A\$102.A3CBA\$101.A2BA2BA\$101.2B2AB.CA\$101.2A2.C2A\$106.2A!`

Or a different angle:
`x = 183, y = 91, rule = 2378/345/415\$10.BC5A\$10.BC4BA\$12.A2B.CA\$10.BC2.2BA\$10.AC4BA\$11.A2BA\$12.A4\$23.3A30.B\$22.A3B29.A.C23.A\$21.A3B2A27.BA3.C20.3A\$21.AB2.2ABA24.C2.A2.2A18.2AC2A\$21.2A.C.2BA26.BA.A.2A16.2A2CA12.A\$23.A2.2BA12.2A10.C5ACA18.BCB12.3A\$24.A2BA13.2AC14.2A33.2AC2A\$24.3A13.A3.2A40.A5.2A2CA44.B\$38.2A3.2BA21.C17.ACA5.BCB44.A.C\$38.AB3.AB.C20.C4.2A10.A3C2A49.BA3.C\$38.A2BA4.2A23.CABA8.AC3A2B13.3A25.3A4.C2.A2.2A\$39.A2BA3.2A25.BCA6.A2CB2.2BA.3A5.C.B4A21.C.B4A5.BA.A.2A\$40.A2B2.A24.C2.A2CA6.AC3A2B2A2B.B4.C.4C2A20.C.4C2A2.C5ACA\$41.A2BA24.2A2.ACA8.A3C2A.A2B.C6.B2C2.A22.B2C2.A7.2A\$42.3A10.2A10.C.2B2.CA10.ACA3.2A.B5.C3.2C2A3.C16.C3.2C2A\$34.C20.2A8.CB2.A2B14.A7.C5.B.4CB3.B2.C14.B.4CB\$32.C2.B33.2A.A18.C2.B5.2A2CB5.C3.2A13.A2CB\$31.BC3.A32.2AC2A18.BA6.ABA11.BA14.B2.A\$30.A2C3B.B31.A2C2A25.A2BA10.A.A17.AB8.3A\$29.A2CABAB2.C30.B2CB25.A2BA11.2A17.A2CA6.A3BA\$28.ACACB.2B33.C2.C18.2A5.AB2A29.5A5.A2B.BA\$29.A2CABA3C35.B2.C7.2A5.2A4.C2.BA5.2B14.2A5.2A2.2A5.2A2.2A\$30.A5CB31.C4.2C2.B6.2A13.3B5.2C7.2A5.2A5.2B2.C7.C.C\$31.ACACA31.2A.2A.A3.A18.C.BCBAC4.B2A.C4.2A11.A2BA\$32.ACA32.A8BA18.B.ACA8.ABA19.2BA2.A\$33.A34.A7BA18.2ACA10.2A19.AB5A\$70.5A21.ABA10.AC20.C3ACBA\$97.A11.B2.C16.CAB2C3A\$91.2A16.C3.2A15.AB4A\$91.2A20.BA16.3A\$92.A19.A.A\$93.A18.2A\$92.ACA\$91.A3CBA\$90.A2BA2BA\$90.2B2AB.CA\$90.2A2.C2A\$95.2A!`

The two knightships at the very front of the rake are the same configuration as a previous EricG rake. I have not found a different spark to start from.
Last edited by knightlife on January 21st, 2012, 7:24 pm, edited 1 time in total.
knightlife

Posts: 566
Joined: May 31st, 2009, 12:08 am

### Re: B345/S23/C4

Rake uses block->diagonal spaceship flyby reaction using 48c/96 very sparky spaceship:
`x = 177, y = 56, rule = 2378/345/4158.A\$157.3A\$156.5A\$155.A5.A\$154.2A.C.C.2A\$153.3A2.B2.3A\$32.A120.ABA.C.C.ABA\$30.2AB2A118.3A.6A\$29.A2BA2BA117.2A2C2BAC2A\$29.AB3.BA117.2A2CAB2CA\$29.2A3.2A106.A11.B2C.3A\$31.3A107.ACA11.2C\$31.3A107.ABA11.2B\$142.A32.BC\$8.ABA23.2A111.A26.CB\$7.A2BA23.2A104.C4.A2BA\$7.AB2A134.A2B.B\$6.A2.BA133.ACBA2.CB\$5.A2.A2BA7.A27.3A70.A23.BA3.BC2A\$3.2A3.B.BA5.3AB8.A16.A.BA3.A65.ABA12.2A13.2A.A9.C2A\$3.AB3.A2BA4.2A4CB5.A.A15.AB.BC.B2AC62.2AC2A11.A.A13.2BA9.3A\$2.AB.AC.2CA4.ABC.3C2A3.A2CA15.A3BA.AC.A61.2A.AB15.A12.2A8.C2A.CA\$3.AB.A3C6.2ACB.3A3.AC2A16.AB4C2A61.2AC16.2A.A21.ABA2C2A\$3.2A2.ACAB6.2A2.2ACB3ACA19.A2C3A61.ACAB7.A5.A3B2.A20.3A.CB\$5.A2.AC2A9.2ACBCA2BA20.B65.2AC7.3A4.A3B.A24.C\$6.ABACA11.B4.BA88.2A2.2C2.B3.A3.A3.A\$6.4A13.C2.BA90.2A5.C4.A3.A.A32.A\$8.A16.C94.BC8.2A3.A32.3A\$130.2A15.3A7.3A7.B3CB\$128.C.C16.AB9.BA7.2C.2C\$147.2A4.C4.2A7.B3CB\$149.A7.A\$7.A142.A5.A\$6.2AB142.2A.2A\$4.2A3CA16.C9.2A14.2A14.2A46.2A33.2AB2A\$3.A2B.C3A16.B8.2A13.A2CA13.2A46.2A35.A\$2.AB2AB2ABA5.A3.AB3.A2.2A21.CAC2A\$.A2B2AB2A6.ABA.B2C2.AC2A2B18.C2.CBC2A\$.AB.2BA7.A2BA2.3C2AB2A2BA15.C5.2C2A\$AB.AC4.C4.A.A4.CB2.3A.BA13.2A3.C.BABA114.C\$.AB4.C2.2A2.AB2A9.A2BA13.AB6.2BA\$.A2BA5.2A3.ABCA8.3A14.A2B.A3.2A\$2.5AC2.BA4.3A26.A2BA\$4.A2BA.2BA34.3A\$5.2B.3BA\$5.2A2.BA22.2A\$7.C.C22.A2B\$31.A2BA\$30.ACBA\$28.AB3CBA\$27.A2B3A2BA\$27.AB.3A.BA\$27.2A2.A2.2A\$29.AB.BA\$29.2AB2A\$31.A!`

Edit:
Block to knightship flyby reaction can use same front end as above:
`x = 317, y = 59, rule = 2378/345/4112.A\$111.3A\$110.5A\$109.A5.A\$108.2A.C.C.2A\$107.3A2.B2.3A\$107.ABA.C.C.ABA\$107.3A.6A\$107.2A2C2BAC2A\$107.2A2CAB2CA\$96.A11.B2C.3A\$95.ACA11.2C\$95.ABA11.2B\$96.A32.BC\$101.A26.CB\$94.C4.A2BA\$99.A2B.B\$98.ACBA2.CB\$74.A23.BA3.BC2A\$73.ABA12.2A13.2A.A9.C2A\$72.2AC2A11.A.A13.2BA9.3A\$71.2A.AB15.A12.2A8.C2A.CA\$70.2AC16.2A.A21.ABA2C2A\$70.ACAB7.A5.A3B2.A20.3A.CB\$70.2AC7.3A4.A3B.A24.C119.A\$71.2A2.2C2.B3.A3.A3.A144.ABA\$72.2A5.C4.A3.A.A32.A111.2AC2A\$74.BC8.2A3.A32.3A109.2A.AB\$84.2A15.3A7.3A7.B3CB107.2AC\$82.C.C16.AB9.BA7.2C.2C107.ACAB\$101.2A4.C4.2A7.B3CB107.2AC\$103.A7.A122.2A2.2C\$104.A5.A124.2A\$105.2A.2A127.BC\$105.2AB2A\$107.A\$314.A\$2A311.ABA\$2A310.2AC2A\$123.C187.2A.AB\$310.2AC\$310.ACAB\$310.2AC\$311.2A2.2C\$312.2A\$314.BC4\$122.A\$121.ABA\$120.2AC2A\$119.2A.AB\$118.2AC\$118.ACAB\$118.2AC\$119.2A2.2C\$120.2A\$122.BC!`
knightlife

Posts: 566
Joined: May 31st, 2009, 12:08 am

### Re: B345/S23/C4

Four reactions with the diagonal spaceship:
`x = 151, y = 61, rule = 2378/345/4120.2A\$13.2A104.A.A\$12.A.A104.2A\$12.2A10\$116.A\$115.3A\$115.A2CA\$117.C2A\$117.2A5\$.A\$3A\$A2CA\$2.C2A\$2.2A5\$60.2A\$59.A.A\$59.2A14\$149.2A\$149.2A\$48.A\$47.3A\$47.A2CA\$49.C2A\$49.2A3\$130.A\$129.3A\$129.A2CA\$131.C2A\$131.2A!`

Still looking for stable single-stage eaters for any of the spaceships (one eater per SS).

Also, which variation of the rule is your favorite? I'm leaning towards B34578/S237/C4, but both are good.
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1723
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: B345/S23/C4

Only found this one stable eater,
`x = 35, y = 9, rule = 23578/3568/4.3A\$.BAB\$C2B.A\$2.4A\$2.C.A28.2A\$CB2A4.2A23.2A\$2.A5.2A\$29.2A\$29.2A!`

but I'd like to see some guns of any kind for any of these generations rules that have knightships.
Because knightships show up frequently in random soups it should not be that hard to make a knightship gun.

Unfortunately oscillators are not very common in these rules and the needed reaction is hard to come by.
knightlife

Posts: 566
Joined: May 31st, 2009, 12:08 am

### Re: B345/S23/C4

Additionally, the nearby rule of B34/S23/C4 also looks promising. It has a p24 oscillator and a p6 c/2 spaceship (one of the same, I believe).

EDIT: A puffer in that rule:
`x = 42, y = 39, rule = 23/34/412.4A\$12.2BCAB\$11.A.2A2C\$11.AB2A2CB\$11.3AB2A\$13.C\$17.C\$14.C\$15.B\$16.A\$16.3A\$17.ABA\$17.ABCB\$18.AC.C\$19.A\$20.A\$20.3A\$21.ABA\$21.ABCB\$22.AC.C\$23.A\$24.A\$24.3A\$25.ABA\$25.ABCB\$26.AC.C8.CB\$27.A8.2A2.2A\$28.A7.2B4A\$28.3A5.ABACBA\$29.ABA5.4A\$29.ABCB5.2A\$30.AC.C2.3A\$31.A3.ABA\$32.A2.CBA\$32.2A2CA\$33.3A\$34.A!`

Other nearby rules include B346/S2378/C4 and B3467/S23/C3.
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1723
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: B345/S23/C4

Here are a few minor finds in rules that support Extreme Enthusiast's knightship:

In rules 2378/3458/4 and 2378/34578, there is a diamond shaped oscillator that moves much like a shuttle. Here's the oscillator, and here are some sparks:
`x = 114, y = 76, rule = 2378/3458/415.3A\$15.3A\$14.5A\$13.A5.A\$12.A6.2A\$11.A2.C2.6A\$10.2A5.2A.3A\$11.A2.C2.6A\$12.A6.2A\$13.A5.A\$14.5A\$15.3A\$15.3A6\$105.A\$104.3A\$103.A3.A\$102.A5.A\$101.A2.C.C2.A\$99.3A7.3A\$99.3A7.3A\$99.3A2.3A2.3A\$101.A2.3A2.A\$102.3A.3A\$103.5A\$104.3A\$104.3A7\$100.2A7.2A\$98.A3BA5.A3BA\$97.A3BC2A3.2AC3BA\$8.A88.AB3.B5.B3.BA\$7.ABA87.2A13.2A\$6.A3BA88.C2.C5.C2.C\$6.5A90.C7.C\$5.A5.A\$4.A7CA\$3.B9CB\$2.C.2C5A2C\$2A3.A.A.ABA3.2A\$2A.CA4.3AC.A2BA86.3A\$2A3.A.A.ABA3.2A86.A3BA\$2.C.2C5A2C90.2BA2B\$3.B9CB88.2ABAB2A\$4.A7CA88.A.ABABA.A\$5.A5.A87.3A2.ACA2.3A\$6.5A87.A2BA.C.B.C.A2BA\$6.A3BA87.A2BA2.ACA2.A2BA\$7.ABA15.A72.A2BA2.CBC2.A2BA\$8.A15.BAB72.3A2.ACA2.3A\$22.BC3.CB72.A3.A3.A\$22.7C73.A.A.A.A\$22.B5CB74.5A\$23.5A76.3A\$23.5A77.A\$23.BC.BCB\$17.2A2.3A.A3C2A.2A\$16.4A.2A.C2ABC3A2.A\$17.2A2.3A.A3C2A.2A\$23.BC.BCB\$23.5A\$23.5A\$22.B5CB\$22.7C\$22.BC3.CB\$24.BAB\$25.A!`

In rule 237/3458/4, one of the phases of the dismond oscillator turns into a spacefiller, but unlike the spacefiller Extreme Enthusiast identified at the top of this thread, this one has a periodic pattern, sort of like negative spaceships:
`x = 31, y = 38, rule = 237/3458/411\$18.A\$17.3A\$16.A3.A\$15.A5.A\$13.2A.5A.2A\$13.2A.A.A.A.2A\$13.2A.A3.A.2A\$15.A2.C2.A\$16.A3.A\$17.3A\$17.3A!`

In rules 23/3458/4 and 23/34578/4, one of the phases of the diamond oscillor turns into a bonafide spaceship which travels at 2c/23. Here's the spaceship, and here's a forward rake for the spaceship:
`x = 34, y = 86, rule = 23/34578/413.A\$11.2A.2A\$10.2A3.2A\$9.B2C3.2CB\$9.4CA4C\$8.B.2CABA2C.B\$7.2A.2CBAB2C.2A\$8.B.2CABA2C.B\$9.9C\$9.B7CB\$10.BC3.CB\$12.BAB\$13.A25\$10.B3.ABA\$5.C3.2A2C.3B\$2.3A5.B3C2BA\$.A2BA7.B3A6.2A6.2A\$.AB19.2A5.A2B\$AB.AC24.ABA\$.AB.A23.3A\$.A2B2AC19.2A3CA\$2.A2B.2A17.A2B.C3A\$3.2AC2A16.A4B2ABA\$5.A17.A5B2A\$23.AB.2BA\$22.AB.AC4.C\$23.AB4.C2.2A\$23.A2BA3.B.2A\$24.5AC2.BA\$26.A2BA.2BA\$27.2B.3BA\$27.2A2.BA\$29.C.C10\$29.C.C\$27.2A2.BA\$27.2B.3BA\$26.A2BA.2BA\$24.5AC2.BA\$23.A2BA3.B.2A\$23.AB4.C2.2A\$22.AB.AC4.C\$23.AB.2BA\$5.A17.A5B2A\$3.2AC2A16.A4B2ABA\$2.A2B.2A17.A2B.C3A\$.A2B2AC19.2A3CA\$.AB.A23.3A\$AB.AC24.ABA\$.AB19.2A5.A2B\$.A2BA7.B3A6.2A6.2A\$2.3A5.B3C2BA\$5.C3.2A2C.3B\$10.B3.ABA!`

I have some more intersting finds in 237/34578/4, including a knightship gun, that I'll share in a new thread.
EricG

Posts: 199
Joined: August 19th, 2011, 5:41 pm
Location: Chicago-area, USA

### Re: B345/S23/C4

EricG wrote:I also wanted a true knightrake, as opposed to a diagonal rake that produces knightships, but I couldn't find one.

I tried adding S0. The knightship trivially turns into a knightpuffer (a puffer which leaves a trail of single cells along a knightship's path). Combinations of these knightpuffers left only simple still lifes like blocks and boats, but many of these knightpuffers first create big sparks, which led me keep trying for awhile. The knightpuffer works in lots of rules (023/345/4 + optionally B7, B8, S7, S8), and it is naturally generated quite frequently in those rules, which makes me think that it shouldn't be that hard to stumble onto a knightbreeder.

For example, this knightpuffer, which is quite typical, generates a big spark that looks promising, and it behaves just a bit differently if you subtract B7 or S78, etc.
`x = 58, y = 28, rule = 02378/34578/42.2A\$2.2A4.A2.A\$15.A2.A3.2A\$21.CABAC\$24.2B3.A2.A\$24.2A10.A2.A\$19.A4.C18.A2.A4.C\$22.C7.A19.A2.A\$22.B2.C11.A11.C5.C\$16.A6.AB6.2A11.A10.2A\$29.A4BA16.A3.ABA\$29.A4BA3.A16.BA\$A10.A15.AB5.A10.A5.CA3BA\$7.A7.A11.3A22.A2BA\$3.BC4.C15.C.CA4.C3.2A14.A\$2.A3CA2.2A13.2A6.C4.ACA\$3.BC2A.A.2A11.ABA2.AB7.C2A\$7.2ACA11.ABA3.A3BA5CA\$8.2A8.A3.AB5.A2BA4CB\$13.3A6.2A3.C3.A2.2B\$12.A.BA8.C2.C\$12.2A2.A\$15.2A2\$9.2A\$9.A2.2A\$10.AB.A\$10.3A!`

Finally, when I tried switching from C4 to C5, I found this unrelated orthogonal growing spaceship that leaves a peculiar knighttrail:
`x = 85, y = 51, rule = 02378/345/515.A5.A21.A.D\$18.A25.C6.2A\$51.2A4\$13.A\$41.A5.A\$44.A\$16.A.A4\$49.A3\$14.2A28.A.A\$14.ADBA\$14.A2BA\$15.A2CB\$16.ACDC\$17.AD.D\$18.A28.D\$18.3A24.D.2A\$19.ABA22.D2.BA\$19.ABCB23.2A\$20.ACDC20.3A\$21.AD.D18.ABA\$22.A19.BCBA\$22.3A16.CDCA\$23.ABA14.D.DA\$23.ABCB15.A\$24.ACDC12.3A\$25.AD.D10.ABA\$26.A11.BCBA\$26.3A8.CDCA\$27.ABA6.D.DA\$27.ABCB7.A\$28.ACDC4.3A\$29.AD.D2.ABA\$30.A3.BCBA\$30.3A.DCA\$31.AB2DA\$31.A2BA\$32.3A!`

The C4 rule is not explosive enough to be as interesting, but I did revisit the rule to find this breeder eventually:
`x = 35, y = 37, rule = 02378/34578/49\$22.2A\$22.3A\$23.C2A\$23.2A3\$11.2A\$11.3A\$12.C2A\$12.2A8\$10.2A\$10.3A\$11.C2A\$11.2A!`

The three knightpuffers breed more of the same. The top two generate the same spark EricG posted.
knightlife

Posts: 566
Joined: May 31st, 2009, 12:08 am