For starters:
2c/7d, one transition from Life: (EDIT: Shown with glider)
Code: Select all
x = 11, y = 11, rule = B3/S234w
9bo$10bo$8b3o4$bo2bo$o3bo$4bo$3bo$3o!
Code: Select all
x = 3, y = 3, rule = B2e3-j4a/S2-k3-ry4q5i
obo$2bo$3o!
Code: Select all
x = 11, y = 11, rule = B3/S234w
9bo$10bo$8b3o4$bo2bo$o3bo$4bo$3bo$3o!
Code: Select all
x = 3, y = 3, rule = B2e3-j4a/S2-k3-ry4q5i
obo$2bo$3o!
Code: Select all
x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!
Code: Select all
x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!
Code: Select all
@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
Code: Select all
x = 3, y = 3, rule = B26S2B358S3
A.A$A$.2A!
Code: Select all
x = 1, y = 1, rule = MAPQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
o!
Code: Select all
x = 3, y = 2, rule = B02akn3n4ak5ak6a/S01e2k4r5a6e7e
2bo$2o!
Code: Select all
x = 3, y = 4, rule = B2ac/S1
2bo2$b2o$o!
Code: Select all
x = 9, y = 7, rule = B3-r4k5jy6e7c/S02-ci3ajnqr4arw5ak6e
7b2o$6b2o$6bo2$2bo$obo$b2o!
Code: Select all
./lls -r pB2-ace3aijn4-r5-n678/S02ae3jnr4-k5678 -b 7 -p 7 -x 2 -y 2 -i -s 'D2\'
Code: Select all
x = 3, y = 3, rule = B2-ei3aq4ik5ceq/S02aei3acjn4aijny5ejkn6ein7e
o$b2o$bo!
Code: Select all
x = 3, y = 3, rule = B2aci3a4ny5a/S03i4ajw5a7c
2bo2$obo!
Code: Select all
x = 3, y = 3, rule = B2ac3a/S02-ik3a
o$b2o$bo!
Code: Select all
x = 3, y = 3, rule = B2cik3a4qt5kny6n/S01e2k3ejkn4ktw5ek6n
2bo2$obo!
Code: Select all
x = 3, y = 3, rule = B2-en3ak4iw5acr/S02ek3aiy5ck
2bo2$obo!
Code: Select all
x = 3, y = 4, rule = B2acn3y4e/S12-ei3c4ey
2bo2$b2o$o!
Code: Select all
x = 3, y = 3, rule = B2-ek3ae4r5a/S01e3j4e5ack
2bo2$obo!
Surprisingly, this rule also has a third tiny diagonal spaceship - but this one has a speed of c/19: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 all
x = 9, y = 7, rule = B3-r4k5jy6e7c/S02-ci3ajnqr4arw5ak6e 7b2o$6b2o$6bo2$2bo$obo$b2o!
Code: Select all
x = 3, y = 3, rule = B3-r4k5jy6e7c/S02-ci3ajnqr4arw5ak6e
obo$2bo$3o!
Code: Select all
x = 5, y = 5, rule = B3-r4k5jy6e7c/S02-ci3ajnqr4arw5ak6e
o$3bo$2b2o$b2obo$3b2o!
Code: Select all
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!
Code: Select all
x = 3, y = 3, rule = B2ce3aijkn4w5i7e/S1c2cei3aj4ainq5ry6c
bo$2bo$3o!
Code: Select all
x = 13, y = 13, rule = B2in3-eqy4ijkqw5cikq6aik/S02-ck3-aeky4inqtwy5nqry6an7e8
11bo$12bo$10b3o8$b2o$obo$3o!
Code: Select all
x = 13, y = 13, rule = B2ik3aijn4iqw5cky6c7c/S02-ci3-ciqy4ir5acq6k7c
11bo$12bo$10b3o8$2bo$b2o$3o!
Code: Select all
x = 13, y = 13, rule = B3-ckqy4k/S02ae3ijknr4iw5any6n7
11bo$12bo$10b3o8$b2o$obo$3o!
Code: Select all
x = 13, y = 13, rule = B3-ekqy4aqy5i6e7c8/S02ae3ajnr4cqrw5cknq6cn
11bo$12bo$10b3o8$obo$2bo$3o!
Code: Select all
x = 13, y = 13, rule = B2kn3-ekqy4jt5c/S02ae3-ckqy4jqw5aik7e
11bo$12bo$10b3o8$b2o$3o$3o!
Code: Select all
x = 13, y = 13, rule = B3aijnr4k7c/S2ae3jnr4i5a7c
11bo$12bo$10b3o8$b2o$obo$3o!
Hey, I think you posted the wrong pattern. The "2c/7d" is an oscillator.AlephAlpha wrote: 2c/7:Code: Select all
x = 13, y = 13, rule = B3-ckqy4k/S02ae3ijknr4iw5any6n7 11bo$12bo$10b3o8$2bo$b2o$3o!
Nice work. There's a 2c/7 in a glider compatible rule in my post above ^. Here are some other speeds:AlephAlpha wrote:Restricting to the rules that the original glider works:
Code: Select all
x = 13, y = 13, rule = B2k3aijn4qt5acjk6-ae7c/S23ajnqr4acijrt5-cenr6-a7e
12bo$10bobo$11b2o8$2bo$2bo$3o!
Code: Select all
x = 13, y = 13, rule = B2i3aijnr4eknqy5aceq6-k78/S02ae3-ceq4inrtwy5-enqy6-kn7e
12bo$10bobo$11b2o8$2bo$b2o$3o!
Code: Select all
x = 13, y = 13, rule = B2kn3-cekr4eijnqt5-ckn6ci7c/S2-k3-eky4nrwyz5aei6cen78
12bo$10bobo$11b2o8$2bo$b2o$3o!
Code: Select all
x = 13, y = 13, rule = B2i3-kq4ckntyz5cejk6ck7c/S02aen3jnry4cinqwz5-ey6an78
12bo$10bobo$11b2o8$b2o$obo$3o!
Code: Select all
x = 13, y = 13, rule = B2k3-cery4ikyz5ikqry6cek7c8/S02aek3-ci4ceinwz5iknr8
12bo$10bobo$11b2o8$b2o$3o$3o!
Sorry. Edited.Hunting wrote:Hey, I think you posted the wrong pattern. The "2c/7d" is an oscillator.AlephAlpha wrote: 2c/7:Code: Select all
x = 13, y = 13, rule = B3-ckqy4k/S02ae3ijknr4iw5any6n7 11bo$12bo$10b3o8$2bo$b2o$3o!
Code: Select all
x = 13, y = 13, rule = B2n3-kqr4-eijry5aciky6-ai7e8/S2-c3-eky4ejryz5aceir6kn7c8
12bo$10bobo$11b2o8$obo$b2o$3o!
Code: Select all
x = 13, y = 13, rule = B3aijn4-aeirt5eqry6ace7e8/S2aek3-cky4eirwyz5-ckry6cn7c
12bo$10bobo$11b2o8$2bo$b2o$3o!
Code: Select all
x = 13, y = 13, rule = B2in3-eqy4cejwz5-jnr6-en7c8/S02-cn3-aey4cirtyz5aijky6-k8
12bo$10bobo$11b2o8$b2o$obo$3o!
Code: Select all
x = 13, y = 13, rule = B2ikn3-q4aejtyz5acer67e/S02-ik3-aeiy4ejnqtz5aejqy6-k8
12bo$10bobo$11b2o8$obo$2bo$3o!
Code: Select all
x = 13, y = 13, rule = B2kn3-e4ceknqy5-ekny6-ac7c/S02-c3cjnr4einyz5-eikn6eik78
12bo$10bobo$11b2o8$b2o$obo$3o!
Code: Select all
x = 13, y = 13, rule = B3-qr4-aqryz5cry6-cn8/S02-n3-ai4ceijntz5-cejn6-en7e8
12bo$10bobo$11b2o8$obo$2bo$3o!
Code: Select all
x = 13, y = 13, rule = B2i3-ceqr4-krwy5ciqr6-i7c8/S2-c3-ekqy4iqrtw5aikq6kn7c8
12bo$10bobo$11b2o8$b2o$3o$3o!
Code: Select all
./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\'
Code: Select all
x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!
Code: Select all
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?
Oh. In that case, time to find every single possible speed between c/3 and c/4 with the CGOL glider.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.
Code: Select all
x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!
Code: Select all
x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!
That's also impossible (at least for small ships) because there are infinite rational numbers between any two different rational numbers.Hdjensofjfnen wrote:Oh. In that case, time to find every single possible speed between c/3 and c/4 with the CGOL glider.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.
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.Moosey wrote: That's also impossible (at least for small ships) because there are infinite rational numbers between any two different rational numbers.
If you limit the bounding box, the max period is less than or equal to 2^(number of cells in the bounding box).AforAmpere wrote: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.Moosey wrote: That's also impossible (at least for small ships) because there are infinite rational numbers between any two different rational numbers.
Code: Select all
x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!
Code: Select all
x = 5, y = 5, rule = B2e3-cjnr/S2aei3
b2o$obo$3o$4bo$3bo!
No, it becomes ash instantly,Entity Valkyrie 2 wrote:This is Entity Valkyrie 2.
c/3:
Code: Select all
x = 5, y = 5, rule = B2e3-cnr/S2aei3 b2o$obo$3o$4bo$3bo!
I forgot the "j" in B2e3-cjnr/S2aei3! Fixed.Βεν Γ. Κυθισ wrote:No, it becomes ash instantly,Entity Valkyrie 2 wrote:This is Entity Valkyrie 2.
c/3:
Code: Select all
x = 5, y = 5, rule = B2e3-cnr/S2aei3 b2o$obo$3o$4bo$3bo!
Code: Select all
x = 5, y = 5, rule = B2e3-cjnr/S2aei3
b2o$obo$3o$4bo$3bo!
This rule also has a small 2c/8 orthogonal:AlephAlpha wrote:3c/11:Code: Select all
x = 13, y = 13, rule = B2ik3aijn4iqw5cky6c7c/S02-ci3-ciqy4ir5acq6k7c 11bo$12bo$10b3o8$2bo$b2o$3o!
Code: Select all
x = 2, y = 6, rule = B2ik3aijn4iqw5cky6c7c/S02-ci3-ciqy4ir5acq6k7c
2o$2o2$bo2$bo!
Code: Select all
x = 4, y = 5, rule = B3ai4a/S2e34aeiwz5iqr6a
bo$3o$2bo$2b2o$3bo!