For starters:
2c/7d, one transition from Life: (EDIT: Shown with glider)
x = 11, y = 11, rule = B3/S234w
9bo$10bo$8b3o4$bo2bo$o3bo$4bo$3bo$3o!
c/3d, a lot of transitions from Life:
x = 3, y = 3, rule = B2e3-j4a/S2-k3-ry4q5i
obo$2bo$3o!
x = 11, y = 11, rule = B3/S234w
9bo$10bo$8b3o4$bo2bo$o3bo$4bo$3bo$3o!
x = 3, y = 3, rule = B2e3-j4a/S2-k3-ry4q5i
obo$2bo$3o!
x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!
@RULE B26S2B358S3
@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
#B26S2
0,1,1,0,0,0,0,0,0,2
0,1,1,1,1,1,1,0,0,2
1,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,2
1,1,1,1,0,0,0,0,0,0
1,1,1,1,1,0,0,0,0,0
1,1,1,1,1,1,0,0,0,0
1,1,1,1,1,1,1,0,0,0
1,1,1,1,1,1,1,1,0,0
1,1,1,1,1,1,1,1,1,0
#B358S3
0,2,2,2,0,0,0,0,0,1
0,2,2,2,2,2,0,0,0,1
0,2,2,2,2,2,2,2,2,1
2,0,0,0,0,0,0,0,0,0
2,2,0,0,0,0,0,0,0,0
2,2,2,0,0,0,0,0,0,0
2,2,2,2,0,0,0,0,0,1
2,2,2,2,2,0,0,0,0,0
2,2,2,2,2,2,0,0,0,0
2,2,2,2,2,2,2,0,0,0
2,2,2,2,2,2,2,2,0,0
2,2,2,2,2,2,2,2,2,0
x = 3, y = 3, rule = B26S2B358S3
A.A$A$.2A!
x = 3, y = 3, rule = B26/S2|B358/S3
2o$2bo$obo!
x = 1, y = 1, rule = MAPQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
o!
x = 3, y = 2, rule = B02akn3n4ak5ak6a/S01e2k4r5a6e7e
2bo$2o!
x = 3, y = 4, rule = B2ac/S1
2bo2$b2o$o!
x = 9, y = 7, rule = B3-r4k5jy6e7c/S02-ci3ajnqr4arw5ak6e
7b2o$6b2o$6bo2$2bo$obo$b2o!
./lls -r pB2-ace3aijn4-r5-n678/S02ae3jnr4-k5678 -b 7 -p 7 -x 2 -y 2 -i -s 'D2\'
x = 3, y = 3, rule = B2-ei3aq4ik5ceq/S02aei3acjn4aijny5ejkn6ein7e
o$b2o$bo!
x = 3, y = 3, rule = B2aci3a4ny5a/S03i4ajw5a7c
2bo2$obo!
x = 3, y = 3, rule = B2ac3a/S02-ik3a
o$b2o$bo!
x = 3, y = 3, rule = B2cik3a4qt5kny6n/S01e2k3ejkn4ktw5ek6n
2bo2$obo!
x = 3, y = 3, rule = B2-en3ak4iw5acr/S02ek3aiy5ck
2bo2$obo!
x = 3, y = 4, rule = B2acn3y4e/S12-ei3c4ey
2bo2$b2o$o!
x = 3, y = 3, rule = B2-ek3ae4r5a/S01e3j4e5ack
2bo2$obo!
wildmyron wrote:Now, if you restrict the rulespace to isotropic rules in which the CGoL glider works, then I suspect the speed limit is c/3, but that's just a guess on my part. Here's a 2c/7 ship racing a glider.Code: Select allx = 9, y = 7, rule = B3-r4k5jy6e7c/S02-ci3ajnqr4arw5ak6e
7b2o$6b2o$6bo2$2bo$obo$b2o!
x = 3, y = 3, rule = B3-r4k5jy6e7c/S02-ci3ajnqr4arw5ak6e
obo$2bo$3o!
x = 5, y = 5, rule = B3-r4k5jy6e7c/S02-ci3ajnqr4arw5ak6e
o$3bo$2b2o$b2obo$3b2o!
x = 134, y = 132, rule = 0/2/256H
5.2A$4.AB2C$5.BD2E$2A4.DF2G$A2C4.FH2I$.C2E4.HJ2K$2.E2G4.JL2M$3.G2I4.L
N2O$4.I2K4.NP2Q$5.K2M4.PR2S$6.M2O4.RT2U$7.O2Q4.TV2W$8.Q2S4.VX2pA$9.S
2U4.XpB2pC$10.U2W4.pBpD2pE$11.W2pA4.pDpF2pG$12.pA2pC4.pFpH2pI$13.pC2pE
4.pHpJ2pK$14.pE2pG4.pJpL2pM$15.pG2pI4.pLpN2pO$16.pI2pK4.pNpP2pQ$17.pK
2pM4.pPpR2pS$18.pM2pO4.pRpT2pU$19.pO2pQ4.pTpV2pW$20.pQ2pS4.pVpX2qA$
21.pS2pU4.pXqB2qC$22.pU2pW4.qBqD2qE$23.pW2qA4.qDqF2qG$24.qA2qC4.qFqH
2qI$25.qC2qE4.qHqJ2qK$26.qE2qG4.qJqL2qM$27.qG2qI4.qLqN2qO$28.qI2qK4.qN
qP2qQ$29.qK2qM4.qPqR2qS$30.qM2qO4.qRqT2qU$31.qO2qQ4.qTqV2qW$32.qQ2qS
4.qVqX2rA$33.qS2qU4.qXrB2rC$34.qU2qW4.rBrD2rE$35.qW2rA4.rDrF2rG$36.rA
2rC4.rFrH2rI$37.rC2rE4.rHrJ2rK$38.rE2rG4.rJrL2rM$39.rG2rI4.rLrN2rO$
40.rI2rK4.rNrP2rQ$41.rK2rM4.rPrR2rS$42.rM2rO4.rRrT2rU$43.rO2rQ4.rTrV
2rW$44.rQ2rS4.rVrX2sA$45.rS2rU4.rXsB2sC$46.rU2rW4.sBsD2sE$47.rW2sA4.sD
sF2sG$48.sA2sC4.sFsH2sI$49.sC2sE4.sHsJ2sK$50.sE2sG4.sJsL2sM$51.sG2sI
4.sLsN2sO$52.sI2sK4.sNsP2sQ$53.sK2sM4.sPsR2sS$54.sM2sO4.sRsT2sU$55.sO
2sQ4.sTsV2sW$56.sQ2sS4.sVsX2tA$57.sS2sU4.sXtB2tC$58.sU2sW4.tBtD2tE$
59.sW2tA4.tDtF2tG$60.tA2tC4.tFtH2tI$61.tC2tE4.tHtJ2tK$62.tE2tG4.tJtL
2tM$63.tG2tI4.tLtN2tO$64.tI2tK4.tNtP2tQ$65.tK2tM4.tPtR2tS$66.tM2tO4.tR
tT2tU$67.tO2tQ4.tTtV2tW$68.tQ2tS4.tVtX2uA$69.tS2tU4.tXuB2uC$70.tU2tW
4.uBuD2uE$71.tW2uA4.uDuF2uG$72.uA2uC4.uFuH2uI$73.uC2uE4.uHuJ2uK$74.uE
2uG4.uJuL2uM$75.uG2uI4.uLuN2uO$76.uI2uK4.uNuP2uQ$77.uK2uM4.uPuR2uS$
78.uM2uO4.uRuT2uU$79.uO2uQ4.uTuV2uW$80.uQ2uS4.uVuX2vA$81.uS2uU4.uXvB
2vC$82.uU2uW4.vBvD2vE$83.uW2vA4.vDvF2vG$84.vA2vC4.vFvH2vI$85.vC2vE4.vH
vJ2vK$86.vE2vG4.vJvL2vM$87.vG2vI4.vLvN2vO$88.vI2vK4.vNvP2vQ$89.vK2vM
4.vPvR2vS$90.vM2vO4.vRvT2vU$91.vO2vQ4.vTvV2vW$92.vQ2vS4.vVvX2wA$93.vS
2vU4.vXwB2wC$94.vU2vW4.wBwD2wE$95.vW2wA4.wDwF2wG$96.wA2wC4.wFwH2wI$
97.wC2wE4.wHwJ2wK$98.wE2wG4.wJwL2wM$99.wG2wI4.wLwN2wO$100.wIwKwJ4.wNwP
2wQ$101.wK2wL4.wPwR2wS$102.wL2wN4.wRwT2wU$103.wN2wP4.wTwV2wW$104.wP2wR
4.wVwX2xA$105.wR2wT4.wXxB2xC$106.wT2wV4.xBxD2xE$107.wV2wX4.xDxF2xG$
108.wX2xB4.xFxH2xI$109.xB2xD4.xHxJ2xK$110.xD2xF4.xJxL2xM$111.xF2xH4.xL
xN2xO$112.xH2xJ4.xNxP2xQ$113.xJ2xL4.xPxR2xS$114.xL2xN4.xRxT2xU$115.xN
2xP4.xTxV2xW$116.xP2xR4.xVxX2yA$117.xR2xT4.xXyB2yC$118.xT2xV4.yByD2yE
$119.xV2xX4.yDyF2yG$120.xX2yB4.yFyH2yI$121.yB2yD4.yHyJ2yK$122.yD2yF4.
yJyL2yM$123.yF2yH4.yLyN2yO$124.yH2yJ4.yN$125.yJ2yL$126.yL2yN$127.yN!
#C [[ AUTOSTART GPS 4 GRID THEME 0 TRACK -0.125 0.125 STARS ]]
x = 5, y = 4, rule = B36/S125
2o$2ob2o$ob3o$bo!
x = 3, y = 3, rule = B2ce3aijkn4w5i7e/S1c2cei3aj4ainq5ry6c
bo$2bo$3o!
#C Favorite Gun. Found by me.
x = 4, y = 6, rule = B2e3i4at/S1c23cijn4a
o2bo$4o3$4o$o2bo!
x = 13, y = 13, rule = B2in3-eqy4ijkqw5cikq6aik/S02-ck3-aeky4inqtwy5nqry6an7e8
11bo$12bo$10b3o8$b2o$obo$3o!
x = 13, y = 13, rule = B2ik3aijn4iqw5cky6c7c/S02-ci3-ciqy4ir5acq6k7c
11bo$12bo$10b3o8$2bo$b2o$3o!
x = 13, y = 13, rule = B3-ckqy4k/S02ae3ijknr4iw5any6n7
11bo$12bo$10b3o8$b2o$obo$3o!
x = 13, y = 13, rule = B3-ekqy4aqy5i6e7c8/S02ae3ajnr4cqrw5cknq6cn
11bo$12bo$10b3o8$obo$2bo$3o!
x = 13, y = 13, rule = B2kn3-ekqy4jt5c/S02ae3-ckqy4jqw5aik7e
11bo$12bo$10b3o8$b2o$3o$3o!
x = 13, y = 13, rule = B3aijnr4k7c/S2ae3jnr4i5a7c
11bo$12bo$10b3o8$b2o$obo$3o!
AlephAlpha wrote:2c/7:Code: Select allx = 13, y = 13, rule = B3-ckqy4k/S02ae3ijknr4iw5any6n7
11bo$12bo$10b3o8$2bo$b2o$3o!
#C Favorite Gun. Found by me.
x = 4, y = 6, rule = B2e3i4at/S1c23cijn4a
o2bo$4o3$4o$o2bo!
AlephAlpha wrote:Restricting to the rules that the original glider works:
x = 13, y = 13, rule = B2k3aijn4qt5acjk6-ae7c/S23ajnqr4acijrt5-cenr6-a7e
12bo$10bobo$11b2o8$2bo$2bo$3o!
x = 13, y = 13, rule = B2i3aijnr4eknqy5aceq6-k78/S02ae3-ceq4inrtwy5-enqy6-kn7e
12bo$10bobo$11b2o8$2bo$b2o$3o!
x = 13, y = 13, rule = B2kn3-cekr4eijnqt5-ckn6ci7c/S2-k3-eky4nrwyz5aei6cen78
12bo$10bobo$11b2o8$2bo$b2o$3o!
x = 13, y = 13, rule = B2i3-kq4ckntyz5cejk6ck7c/S02aen3jnry4cinqwz5-ey6an78
12bo$10bobo$11b2o8$b2o$obo$3o!
x = 13, y = 13, rule = B2k3-cery4ikyz5ikqry6cek7c8/S02aek3-ci4ceinwz5iknr8
12bo$10bobo$11b2o8$b2o$3o$3o!
Hunting wrote:AlephAlpha wrote:2c/7:Code: Select allx = 13, y = 13, rule = B3-ckqy4k/S02ae3ijknr4iw5any6n7
11bo$12bo$10b3o8$2bo$b2o$3o!
Hey, I think you posted the wrong pattern. The "2c/7d" is an oscillator.
x = 13, y = 13, rule = B2n3-kqr4-eijry5aciky6-ai7e8/S2-c3-eky4ejryz5aceir6kn7c8
12bo$10bobo$11b2o8$obo$b2o$3o!
x = 13, y = 13, rule = B3aijn4-aeirt5eqry6ace7e8/S2aek3-cky4eirwyz5-ckry6cn7c
12bo$10bobo$11b2o8$2bo$b2o$3o!
x = 13, y = 13, rule = B2in3-eqy4cejwz5-jnr6-en7c8/S02-cn3-aey4cirtyz5aijky6-k8
12bo$10bobo$11b2o8$b2o$obo$3o!
x = 13, y = 13, rule = B2ikn3-q4aejtyz5acer67e/S02-ik3-aeiy4ejnqtz5aejqy6-k8
12bo$10bobo$11b2o8$obo$2bo$3o!
x = 13, y = 13, rule = B2kn3-e4ceknqy5-ekny6-ac7c/S02-c3cjnr4einyz5-eikn6eik78
12bo$10bobo$11b2o8$b2o$obo$3o!
x = 13, y = 13, rule = B3-qr4-aqryz5cry6-cn8/S02-n3-ai4ceijntz5-cejn6-en7e8
12bo$10bobo$11b2o8$obo$2bo$3o!
x = 13, y = 13, rule = B2i3-ceqr4-krwy5ciqr6-i7c8/S2-c3-ekqy4iqrtw5aikq6kn7c8
12bo$10bobo$11b2o8$b2o$3o$3o!
./make_lls_grid.py -p 23 -x 7 -y 7 -f 3 3 5 5 | ./lls -r pB2-ace3aijn4-r5-n678/S0
2ae3jnr4-k5678 -i -s 'D2\'
x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!
Hdjensofjfnen wrote:Can we either prove or disprove wildmyron's conjecture that rules with CGOL gliders have a maximum diagonal speed of c/3?
AforAmpere wrote:Hdjensofjfnen wrote:Can we either prove or disprove wildmyron's conjecture that rules with CGOL gliders have a maximum diagonal speed of c/3?
It kind of already is known. In a non-B2a or B1e rule, the max diagonal speed is C/3. Therefore, there is no faster one in a rule with the glider.
x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!
Hdjensofjfnen wrote:AforAmpere wrote:Hdjensofjfnen wrote:Can we either prove or disprove wildmyron's conjecture that rules with CGOL gliders have a maximum diagonal speed of c/3?
It kind of already is known. In a non-B2a or B1e rule, the max diagonal speed is C/3. Therefore, there is no faster one in a rule with the glider.
Oh. In that case, time to find every single possible speed between c/3 and c/4 with the CGOL glider.
Moosey wrote:That's also impossible (at least for small ships) because there are infinite rational numbers between any two different rational numbers.
AforAmpere wrote:Moosey wrote:That's also impossible (at least for small ships) because there are infinite rational numbers between any two different rational numbers.
However, there are a finite number of rules with the glider, and if there aren't fast diagonal adjustable ships with the glider, there may only be finitely many speeds.
x = 5, y = 5, rule = B2e3-cjnr/S2aei3
b2o$obo$3o$4bo$3bo!
x = 47, y = 23, rule = B3/S23
obo41bo$b2o41bobo$bo42b2o8$10bobo21bo$11b2o21bobo$11bo22b2o7$22b2o$20b
o$21bo3bo$21b4o!
#C [[ THEME 6 THUMBSIZE 2 Y 10 ZOOM 32 GPS 20 AUTOSTART LOOP 40 ]]
Entity Valkyrie 2 wrote:This is Entity Valkyrie 2.
c/3:Code: Select allx = 5, y = 5, rule = B2e3-cnr/S2aei3
b2o$obo$3o$4bo$3bo!
#C [[ AUTOSTART GPS 4 GRID THEME 0 TRACK -0.125 0.125 STARS ]]
x = 5, y = 4, rule = B36/S125
2o$2ob2o$ob3o$bo!
Βεν Γ. Κυθισ wrote:Entity Valkyrie 2 wrote:This is Entity Valkyrie 2.
c/3:Code: Select allx = 5, y = 5, rule = B2e3-cnr/S2aei3
b2o$obo$3o$4bo$3bo!
No, it becomes ash instantly,
x = 5, y = 5, rule = B2e3-cjnr/S2aei3
b2o$obo$3o$4bo$3bo!
x = 47, y = 23, rule = B3/S23
obo41bo$b2o41bobo$bo42b2o8$10bobo21bo$11b2o21bobo$11bo22b2o7$22b2o$20b
o$21bo3bo$21b4o!
#C [[ THEME 6 THUMBSIZE 2 Y 10 ZOOM 32 GPS 20 AUTOSTART LOOP 40 ]]
AlephAlpha wrote:3c/11:Code: Select allx = 13, y = 13, rule = B2ik3aijn4iqw5cky6c7c/S02-ci3-ciqy4ir5acq6k7c
11bo$12bo$10b3o8$2bo$b2o$3o!
x = 2, y = 6, rule = B2ik3aijn4iqw5cky6c7c/S02-ci3-ciqy4ir5acq6k7c
2o$2o2$bo2$bo!
x = 4, y = 5, rule = B3ai4a/S2e34aeiwz5iqr6a
bo$3o$2bo$2b2o$3bo!
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