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## True knight trail

For discussion of other cellular automata.

### True knight trail

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.

ynotds

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

### Re: True knight trail

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!`
Axaj

Posts: 232
Joined: September 26th, 2009, 12:23 am

### Knight meets his dragon

dragon.zip
Open in Golly 2.2
(65.31 KiB) Downloaded 236 times
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.

ynotds

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

### Re: True knight trail

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!`
ebcube

Posts: 124
Joined: February 27th, 2010, 2:11 pm

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

knightship.zip
Open in Golly 2.2
(992 Bytes) Downloaded 383 times
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.

ynotds

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

### Re: True knight trail

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!`
ebcube

Posts: 124
Joined: February 27th, 2010, 2:11 pm

### Re: True knight trail

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.

ynotds

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

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