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### True knight trail

Posted: December 11th, 2010, 9:42 pm
Leaving blocks every (4, 2) cells period 10, using the same 22 state rule provided in the "intermediate neighbourhood" thread:
`x = 32, y = 13, rule = WMPVN-45678bc_459a_222A20.SR\$2A15.2T2.TUQNM\$4.2A11.U.2O.UOPLIH\$4.2A13.P.2JSPJKGDC\$8.2A9.QRKR2ENKEFBA\$8.2A7.RQURLMFM2AIF3A\$11.R2A2.RSTMLPMGHAH2AD2A\$11.S2A2.QSMNOHGKHBCAC3A\$12.TU.H2A2NHIJCBFC2A\$15.I2ALMGICDE4A\$16.JK2.2A2D2A.A\$20.2ABC2A\$21.A!`

This actually works for all numbers of states of this rule > 10, but there does not appear to be any simple way to turn it into a knight ship.

### Re: True knight trail

Posted: December 12th, 2010, 1:47 am
Well, I've successfully linked them together, eliminating debris inbetween, but there is still some at the end.
`x = 43, y = 31, rule = WMPVN-45678bc_459a_2232.URQ\$28.2S2.STPML\$28.T.2N.TNOKHG\$28.U.O.2IROIJFCB\$18.POP6.U2.PQJQ2DMJDEA\$18.Q.Q7.QPTQKLEL2AHE2A\$19.R.PFEF2.QRSLKOLFGAG2AC2A\$18.TSU.GRGU.PRLMNGFJGABAB2A\$18.U2.PQHTF3A2MGHIBAEB2A\$20.URJIK.AHAKLFHBCD4A\$16.2S2.STKMLFGAJ2.2A2C2A\$16.T.2N.TLNKH3A2.3AB2A\$16.U.O.2IROIJACB\$6.POP6.U2.PQJQ2DMJBDA\$6.Q.Q7.QPTQKLEL2AHE2A\$7.R.PFEF2.QRSLKOLFGAG2AC2A\$6.TSU.GRGU.PRLMNGFJGABAB2A\$6.U2.PQHTF3A2MGHIBAEB2A\$8.URJIK.AHAKLFHBCD4A\$4.2S2.STKMLFGAJ2.2A2C2A\$4.T.2N.TLNKH3A2.3AB2A\$4.U.O.2IROIJACB\$3.U2.PQJQ2DMJBDA\$4.QPTQKLEL2AHE2A\$.U.QRSLKOLFGAG2AC2A\$L2A2RLMNGFJGABAB2A\$M2APQKMGHIBAEB2A\$.NO.B2A2HBCD4A\$4.C2AFGAC2A\$5.DE2.4A\$10.A!`

EDIT: Found a different way.
`x = 22, y = 34, rule = WMPVN-45678bc_459a_2211.UT\$12.SPO\$8.2Q2.QRNKJ\$8.R.2LURLMIFE\$8.STMT2GPMGHD2A\$6.TS.TNOHO2BKHBCA\$5.SU.ONROIJCJ2AFC2A\$5.RQNPQJIMJDEAE4A\$7.MLIKLEDHE2A.2A\$9.HGDFG2AC2A\$10.UCB2AB2A\$10.TQP3A\$6.2R2.RSOLK\$6.S.2M.SMNJGF\$6.TUNU2HQNHIEBA\$4.UT.UOPIP2CLICDA\$3.T2.POSPJKDK2AGD2A\$3.SROQRKJNKEFAF2ABA\$5.NMJLMFEIF6A\$7.IHEGH2AD3A\$9.DCABC3A\$8.URQ4A\$4.2S2.STPML\$4.T.2N.TNOKHG\$4.U.O.2IROIJFCB\$3.U2.PQJQ2DMJDEA\$4.QPTQKLEL2AHE2A\$.U.QRSLKOLFGAG2AC2A\$L2A2RLMNGFJGABAB2A\$M2APQKMGHIBAEB2A\$.NO.B2A2HBCD4A\$4.C2AFGAC2A\$5.DE2.4A\$10.A!`

### Knight meets his dragon

Posted: December 13th, 2010, 9:35 am
dragon.zip
Open in Golly 2.2
I'd expected something like this, but nothing so spectacular. Found in the wild from the first seed I ran on for WMPVN-45678bc_459a_23 and cleaned up, hence the zip with the rule tree for _23. The same initial mechanism in _22 produces a comparably elaborate but otherwise very different looking dragon. I don't consider it urgent to test in other rules, though as mentioned previously the knight track layer exists in every rule from _11 up.

### Re: True knight trail

Posted: December 13th, 2010, 10:50 am
A way cleaner dragon on C22 (dragonrake?):

`x = 104, y = 57, rule = WMPVN-45678bc_459a_22\$98.K\$97.LJL\$97.MKM\$97.NONPS\$95.LM2ORQR\$94.KJKONUQ\$94.HIOMPM\$91.FGHGJIQ2L\$90.AB2HGJQOURS\$90.ADC2JIRP2UT\$87.3ACBJINKLTU.U\$87.2A2CBKI2NMTST\$87.ACBGDEMNONOR\$86.2ADB2GFMLMPQ\$86.3AFGHGHK\$88.AFEFIJ\$84.2A.3AD\$84.2A2.BC\$80.2A\$80.2A\$76.2A\$76.2A\$72.2A\$72.2A\$68.2A\$68.2A\$64.2A\$64.2A\$60.2A\$60.2A\$56.2A\$56.2A\$52.2A\$52.2A\$48.2A\$48.2A\$44.2A\$44.2A\$40.2A\$40.2A\$36.2A\$36.2A\$10.RS20.2A\$8.MNQUT2.2T15.2A\$6.HILPOU.2O.U11.2A\$4.CDGKJPS2J.P13.2A\$3.ABFEKN2ERKRQ9.2A\$2.3AFI2AMFMLRUQR7.2A\$2.2AD2AHAHGMPLMTSR2.2AR\$2.3ACACBHKGHONMSQ2.2AS\$5.2ACFBCJIH2N2AH.UT\$5.4AEDCIGML2AI\$6.A.2A2D2A2.KJ\$8.2ACB2A\$12.A!`

You can toggle between dragons (again, on C22) with blocks:

`x = 101, y = 57, rule = WMPVN-45678bc_459a_22\$97.K\$96.LJL\$96.MKM\$96.NONPS\$94.LM2ORQR\$93.KJKONUQ\$93.HIOMPM\$90.FGHGJIQ2L\$89.AB2HGJQOURS\$89.ADC2JIRP2UT\$86.3ACBJINKLTU.U\$86.2A2CBKI2NMTST\$86.ACBGDEMNONOR\$85.2ADB2GFMLMPQ\$85.3AFGHGHK\$87.AFEFIJ\$83.2A.3AD\$83.2A2.BC\$79.2A\$61.2A16.2A\$61.2A12.2A\$75.2A\$71.2A\$71.2A\$67.2A\$67.2A\$63.2A\$63.2A\$59.2A\$59.2A\$55.2A\$55.2A\$51.2A\$51.2A\$47.2A\$47.2A\$43.2A\$43.2A\$39.2A\$21.2A16.2A\$21.2A12.2A\$35.2A\$9.RS20.2A\$7.MNQUT2.2T15.2A\$5.HILPOU.2O.U11.2A\$3.CDGKJPS2J.P13.2A\$2.ABFEKN2ERKRQ9.2A\$.3AFI2AMFMLRUQR7.2A\$.2AD2AHAHGMPLMTSR2.2AR\$.3ACACBHKGHONMSQ2.2AS\$4.2ACFBCJIH2N2AH.UT\$4.4AEDCIGML2AI\$5.A.2A2D2A2.KJ\$7.2ACB2A\$11.A!`

### And now a true knight ship in WMPVN-45678_45xbx_7+

Posted: April 23rd, 2011, 9:15 am
knightship.zip
Open in Golly 2.2
The attached seed is a p2x1y5t ship in born 45b, 45bc, 45ab, 45abc for all state counts greater than 7. An analogous p4x2y10t form works for state count 7.

### Re: True knight trail

Posted: April 23rd, 2011, 4:13 pm
Not a knightship, but a rather interesting ship found on 45678_45b_8:

`x = 16, y = 8, rule = WMPVN-45678_45b_86.B.A.B\$3.AB2C3A2CBA\$.3A3CA.A3C3A\$.2AD2AB.A.B2AD2A\$.3AF2.3A2.F3A\$3.A2FA.A.A2FA\$3.5A.5A\$5.A5.A!`

### Re: True knight trail

Posted: April 23rd, 2011, 4:52 pm
ebcube wrote:(A) rather interesting ship found on 45678_45b_8:
I'd only just found as analogous ship in _28 but a version with a persistent asymmetry in its trailing debris which I thought hinted at the existence of a symmetric version like you found. And I've since only done a minimal survey which shows that the basic engine does things differently in adjacent rules, e.g. in _15 it leaves either a bilaterally symmetric or a left-right alternating widish trail of blocks. For higher numbers it also seems largely immune to interactions with much more common trailing c/2 ships, although that too warrants more exhaustive testing.