True knight trail

For discussion of other cellular automata.
ynotds
Posts: 31
Joined: August 23rd, 2010, 8:38 am
Location: Melbourne, Australia
Contact:

True knight trail

Leaving blocks every (4, 2) cells period 10, using the same 22 state rule provided in the "intermediate neighbourhood" thread:

Code: Select all

``````x = 32, y = 13, rule = WMPVN-45678bc_459a_22
2A20.SR\$2A15.2T2.TUQNM\$4.2A11.U.2O.UOPLIH\$4.2A13.P.2JSPJKGDC\$8.2A9.QR
OHGKHBCAC3A\$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.

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

Re: True knight trail

Well, I've successfully linked them together, eliminating debris inbetween, but there is still some at the end.

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``````x = 43, y = 31, rule = WMPVN-45678bc_459a_22
32.URQ\$28.2S2.STPML\$28.T.2N.TNOKHG\$28.U.O.2IROIJFCB\$18.POP6.U2.PQJQ2D
MJDEA\$18.Q.Q7.QPTQKLEL2AHE2A\$19.R.PFEF2.QRSLKOLFGAG2AC2A\$18.TSU.GRGU.
PRLMNGFJGABAB2A\$18.U2.PQHTF3A2MGHIBAEB2A\$20.URJIK.AHAKLFHBCD4A\$16.2S
2.STKMLFGAJ2.2A2C2A\$16.T.2N.TLNKH3A2.3AB2A\$16.U.O.2IROIJACB\$6.POP6.U
2.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.PQJQ
2DMJBDA\$4.QPTQKLEL2AHE2A\$.U.QRSLKOLFGAG2AC2A\$L2A2RLMNGFJGABAB2A\$M2APQ
KMGHIBAEB2A\$.NO.B2A2HBCD4A\$4.C2AFGAC2A\$5.DE2.4A\$10.A!
``````
EDIT: Found a different way.

Code: Select all

``````x = 22, y = 34, rule = WMPVN-45678bc_459a_22
11.UT\$12.SPO\$8.2Q2.QRNKJ\$8.R.2LURLMIFE\$8.STMT2GPMGHD2A\$6.TS.TNOHO2BKH
BCA\$5.SU.ONROIJCJ2AFC2A\$5.RQNPQJIMJDEAE4A\$7.MLIKLEDHE2A.2A\$9.HGDFG2AC
2A\$10.UCB2AB2A\$10.TQP3A\$6.2R2.RSOLK\$6.S.2M.SMNJGF\$6.TUNU2HQNHIEBA\$4.U
T.UOPIP2CLICDA\$3.T2.POSPJKDK2AGD2A\$3.SROQRKJNKEFAF2ABA\$5.NMJLMFEIF6A\$
FCB\$3.U2.PQJQ2DMJDEA\$4.QPTQKLEL2AHE2A\$.U.QRSLKOLFGAG2AC2A\$L2A2RLMNGFJ
GABAB2A\$M2APQKMGHIBAEB2A\$.NO.B2A2HBCD4A\$4.C2AFGAC2A\$5.DE2.4A\$10.A!
``````

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

Knight meets his dragon

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.

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

Re: True knight trail

A way cleaner dragon on C22 (dragonrake?):

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``````x = 104, y = 57, rule = WMPVN-45678bc_459a_22
\$98.K\$97.LJL\$97.MKM\$97.NONPS\$95.LM2ORQR\$94.KJKONUQ\$94.HIOMPM\$91.FGHGJ
2.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.CDGKJPS
2.2AR\$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:

Code: Select all

``````x = 101, y = 57, rule = WMPVN-45678bc_459a_22
\$97.K\$96.LJL\$96.MKM\$96.NONPS\$94.LM2ORQR\$93.KJKONUQ\$93.HIOMPM\$90.FGHGJ
2.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\$.2A
D2AHAHGMPLMTSR2.2AR\$.3ACACBHKGHONMSQ2.2AS\$4.2ACFBCJIH2N2AH.UT\$4.4AEDC
IGML2AI\$5.A.2A2D2A2.KJ\$7.2ACB2A\$11.A!``````

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

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

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.

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

Re: True knight trail

Not a knightship, but a rather interesting ship found on 45678_45b_8:

Code: Select all

``````x = 16, y = 8, rule = WMPVN-45678_45b_8