22da (Hexagonal Grid)

For discussion of other cellular automata.
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c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: 22da (Hexagonal Grid)

Post by c0b0p0 » May 31st, 2014, 9:05 pm

c0b0p0 wrote:This knocks one-quarter of an order of magnitude off the projected size of the sawtooth, and I am pretty confident that the projected size cannot be made much smaller.
It seems not -- the glider-emitting puffer which is the basis for the backrake cannot be packed densely enough.

Code: Select all

x = 725, y = 725, rule = Marked22da
241.A$240.A.A$239.3A.A$241.2A$241.A$250.A$249.A.A$249.2A.A$247.2A.2A$
249.A$242.A5.2A$240.A.A$240.A3.A.A$243.A.A$244.A.A4$240.A.A2$243.A$
244.A$238.A3.A2.A$243.A$239.A2.2A.A$242.A$241.A3.A$245.A$245.A2$244.A
$245.A.A$245.A2.A$247.A$247.2A4$237.A$238.A2$203.A$202.A.A$201.3A.A$
203.2A$203.A$212.A$211.A.A$211.2A.A12.A$209.2A.2A14.A$211.A$204.A5.2A
$202.A.A$202.A3.A.A$205.A.A$206.A.A3$217.A$218.A2$202.A42.A.A$202.A
42.A2.A$203.2A42.A$203.A43.2A2$206.A25$245.A.A$245.A2.A$247.A$247.2A
10$349.A$348.A.A$348.2A.A$238.2A106.2A.2A$262.A.A27.A.A27.A.A21.A.A$
239.A2.A19.2A.A26.2A.A26.2A.A22.A$243.A98.A.A$241.2A21.2A28.2A28.2A2.
3A.A.A8.A$241.A84.A8.A6.A.A$243.A2.A85.2A2.A6.A10.A$242.A2.A.A83.2A.A
3.A6.2A6.A.A$244.2A84.A21.3A.A$338.A5.2A8.2A$247.A.A82.A21.A$249.A67.
A16.A$318.A9$307.A$308.A9$297.A$298.A3$308.A$307.A.A$209.2A96.2A.A$
305.2A.2A$209.2A.A92.A.A$210.A.A94.A$301.A.A$302.A$290.A10.A.A$302.A
10.A$293.A10.2A6.A.A$292.2A17.3A.A$294.2A7.2A8.2A$313.A29$169.2A2$
169.2A.A$170.A.A16$38.A2.2A$41.2A$40.A2$42.A$50.2A$46.A3.2A$49.A$48.A
$48.A$44.A$43.A2.A$46.A$44.2A$45.2A$45.3A2$46.3A4$129.2A2$129.2A.A$
130.A.A8$42.A$43.A8$A2.2A$3.2A27.A$2.A30.A10.A.A$45.2A$4.A40.3A$12.2A
$8.A3.2A32.3A$11.A$10.A$10.A$6.A$5.A2.A13.A$8.A14.A$6.2A$7.2A$7.3A2$
8.3A3$89.2A$12.A$13.A75.2A.A$90.A.A9$44.A.A$45.2A$45.3A2$46.3A24$49.
2A2$44.A.A2.2A.A$45.2A3.A.A$45.3A2$46.3A10$35.A$34.A.A$30.A3.3A.A$31.
2A4.A2.A$28.A2.2A2.A$33.A2.A4.A$28.A.A.3A4.A$29.A3.2A6.2A$34.A6.A.A
38$44.A.A$45.2A$45.3A561.A$608.A.A$46.3A558.3A.A$609.2A$609.A$618.A$
617.A.A$617.2A.A$615.2A.2A$617.A$610.A5.2A$608.A.A$608.A3.A.A$611.A.A
$612.A.A$215.A.A$215.A.2A2$217.2A389.A.A2$224.A.A384.A$223.2A.2A384.A
$223.A382.A3.A2.A$226.2A383.A$225.2A380.A2.2A.A$225.A384.A$220.2A387.
A3.A$220.3A390.A$221.A391.A2$222.A389.A$222.2A389.A.A$223.A389.A2.A$
615.A$615.2A4$605.A$606.A2$215.A355.A$570.A.A$213.A355.3A.A$571.2A$
571.A$580.A$219.A359.A.A$218.A360.2A.A12.A$577.2A.2A14.A$579.A$572.A
5.2A$570.A.A$570.A3.A.A$573.A.A$574.A.A$177.A.A$177.A.2A28.A$44.A.A
161.A10.A.A.A361.A$45.2A132.2A405.A$45.3A174.A$186.A.A33.2A346.A42.A.
A$46.3A136.2A.2A33.A346.A42.A2.A$185.A385.2A42.A$188.2A381.A43.2A$
187.2A$187.A386.A$182.2A15.A$182.3A13.A$183.A2$184.A$184.2A$185.A4$
189.A$188.A10$219.A.A.A2$222.A$222.2A389.A.A$223.A389.A2.A$615.A$615.
2A10$717.A$716.A.A$716.2A.A$606.2A106.2A.2A$630.A.A27.A.A27.A.A21.A.A
$607.A2.A19.2A.A26.2A.A26.2A.A22.A$611.A98.A.A$609.2A21.2A28.2A28.2A
2.3A.A.A8.A$609.A84.A8.A6.A.A$611.A2.A85.2A2.A6.A10.A$610.A2.A.A83.2A
.A3.A6.2A6.A.A$612.2A84.A21.3A.A$706.A5.2A8.2A$615.A.A82.A21.A$44.A.A
172.A.A.A393.A67.A16.A$45.2A276.A.A360.A$45.3A174.A99.2A.2A$222.2A97.
2A$46.3A174.2A100.2A$224.2A2.A25.2A2.A25.2A2.A25.2A8.2A$225.2A28.2A
28.2A28.2A2.A$210.A.A15.A29.A29.A29.3A$212.A.A104.2A$210.4A14.A29.A
29.A10.A$213.2A83.A29.A.A344.A$214.2A112.A.2A344.A$211.A4.A$211.A5.A
87.A24.2A$217.2A.A$213.A4.2A83.A$212.A6.3A$207.A2.2A3.2A2.A$210.2A7.A
.A$205.A3.A79.A$204.2A82.A376.A$203.A3.A3.A454.A$202.A.3A$201.A4.A.2A
$200.A2.2A.A.A467.A$199.A.A.2A2.A467.A.A$198.2A.A4.A370.2A96.2A.A$
201.3A.A467.2A.2A$196.A3.A3.A372.2A.A92.A.A$202.2A75.A298.A.A94.A$
198.A3.A75.A390.A.A$196.2A472.A$196.2A2.A457.A10.A.A$670.A10.A$661.A
10.2A6.A.A$660.2A17.3A.A$662.2A7.2A8.2A$681.A2$269.A12.A.A$268.A12.2A
.2A$280.2A$284.2A$273.2A8.2A$274.2A2.A$277.3A$278.2A2$287.A.A$287.A.
2A2$289.2A9$44.A.A$45.2A$45.3A2$46.3A2$537.2A2$156.A380.2A.A$538.A.A$
158.A$156.2A$156.2A2.A34$497.2A2$116.A380.2A.A$498.A.A$118.A$116.2A$
116.2A2.A8$44.A.A$45.2A$45.3A2$46.3A22$457.2A2$457.2A.A$458.A.A31$44.
A.A$45.2A$45.3A2$46.3A2$417.2A$515.2A$417.2A.A94.2A$418.A.A93.A$54.A
59.A59.A59.A59.A59.A59.A29.A29.A29.A7.2A$54.A.A57.A.A57.A.A57.A.A57.A
.A57.A.A57.A.A27.A.A27.A.A27.A.A$54.A.3A55.A.3A55.A.3A55.A.3A55.A.3A
55.A.3A55.A.3A25.A.3A25.A.3A25.A.2A.2A4.A$56.2A58.2A58.2A58.2A58.2A
58.2A58.2A28.2A28.2A28.3A$58.A59.A59.A59.A59.A59.A59.A29.A29.A29.A2.A
$396.A91.A21.A$397.A91.A27.A2.2A$396.2A.A120.2A$401.A117.A$398.A$402.
A118.A$401.A$399.A2.2A$400.A.A.A$396.3A3.2A$397.3A78.A$398.A.2A77.A$
400.2A$398.A3.A$397.A$398.A.A5$468.A$469.A9$458.A15.2A$459.A14.2A$
473.A$463.A7.2A$463.A.A$463.A.2A.2A4.A$465.3A$467.A2.A$469.A$476.A2.
2A$479.2A$478.A2$480.A!

User avatar
simsim314
Posts: 1766
Joined: February 10th, 2014, 1:27 pm

Re: 22da (Hexagonal Grid)

Post by simsim314 » June 1st, 2014, 6:34 am

Notice that all you need is just two glider-emitting puffers:

Code: Select all

x = 56, y = 71, rule = Marked22da
50.A$51.A3$50.2A$51.A$50.A2.A$51.A.A$54.A$52.A.A$40.A11.2A$41.A4$49.A
.A$49.A$49.2A$47.2A.2A$46.A.2A$30.A16.A.A$31.A16.A2$4.2A$5.A$4.A2.A$
5.A.A4$20.A$21.A3$55.A$54.A5$10.A$11.A3$45.A$44.A8$4.2A$5.A29.A$4.A2.
A26.A$5.A.A10.2A$8.A$6.A.A$6.2A7.A2.A$17.2A.A$19.A2.A.A$15.A2.A3.A.A.
A$17.A6.2A3.2A$3.A.A18.3A$3.A25.A.2A$3.2A25.A.A$.2A.2A$A.2A$.A.A$2.A!
The rest can be cleaned with well spaced gliders/rakes

There was somewhere in the thread a sample of "period multiplier" that can work for large periods as well.

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: 22da (Hexagonal Grid)

Post by c0b0p0 » June 1st, 2014, 10:39 pm

simsim314 wrote:Notice that all you need is just two glider-emitting puffers:

Code: Select all

snipped
The rest can be cleaned with well spaced gliders/rakes.
Unfortunately, that doesn't reduce the number of gliders required to synthesize a backrake. To reduce the size of the synthesis, one would need a one-glider cleanup reaction. This is the closest I got to one.

Code: Select all

x = 79, y = 54, rule = Marked22da
75.2A$49.A$48.A26.2A.A$46.2A3.A24.A.A$46.2A46$3.A$2.A$2A3.A$2A!
simsim314 wrote:There was somewhere in the thread a sample of "period multiplier" that can work for large periods as well.
'
Do you mean this

Code: Select all

x = 2186, y = 1360, rule = 22da
2bo$b2o$ob3o$bobo2b2o$2bo3b3o$8bo2$7bobobo38$56bo$55bo6$58b2o$59bo$58b
o2bo$59bobo$59bo$62bo$59bobobo$62bo$61bobo$57bo$57bobo$7bo47b2ob2o$7b
2o45bob2o$8bo27bo18bobo$35bo20bo12bobo$7bobobo58bobo$69bobo2b2o2$66b2o
3bob2ob2o$66bo8bobo$64b2ob2o$63bob2o17bo$64bobo16bo$65bo10$16bo$15bo7$
64bo$63bo7$16bobo$15bob2o$17bobo$16b2o2b2o$18bob2obo$17bo3bo2bo$19b3o$
20b6o$20b3ob2o$22bo3bo$24bo2b2o$6bo16bob3o$4b2o2bo16bo2bo15bo$3b2o6bo
15bo15bo$7bo5bo$3b2ob2o4bobo$4bobo6bo$15bo46bo59bo59bo59bo59bo59bo59bo
59bo59bo59bo59bo59bo119bo119bo119bo2$62bo59bo59bo59bo59bo59bo59bo59bo
59bo59bo59bo59bo119bo119bo119bo$16bo47b2o58b2o58b2o58b2o58b2o58b2o58b
2o58b2o58b2o58b2o58b2o58b2o118b2o118b2o118b2o$13b2o47bo2b2o55bo2b2o55b
o2b2o55bo2b2o55bo2b2o55bo2b2o55bo2b2o55bo2b2o55bo2b2o55bo2b2o55bo2b2o
55bo2b2o115bo2b2o115bo2b2o115bo2b2o$12b2o3bo$16bo$12b2ob2o$13bobo1074b
o$1090b2o$1091bo2$1090bobobo4$666bo2b2o$669b2o$668bo2$670bo76$586bo2b
2o$589b2o$588bo2$590bo28$1090bo$1090b2o$1091bo2$1090bobobo44$506bo2b2o
$509b2o$508bo2$510bo61$198bo$197b2o$196bob3o$197bobo2b2o$198bo3b3o$
204bo2$203bobobo882bo$1090b2o$1091bo2$1090bobobo4$426bo2b2o$429b2o$
428bo2$430bo26$252bo$251bo6$254b2o$255bo$254bo2bo$255bobo$255bo$258bo$
255bobobo$258bo$257bobo$253bo$253bobo$203bo47b2ob2o$203b2o45bob2o$204b
o27bo18bobo$231bo20bo12bobo$203bobobo58bobo$265bobo2b2o2$262b2o3bob2ob
2o$262bo8bobo$260b2ob2o$259bob2o17bo$260bobo16bo$261bo10$212bo$211bo7$
260bo$259bo$346bo2b2o$349b2o$344bo3bo$343b2o$342bo3bo3bo$341bob3o$212b
obo125bo4bob2o$211bob2o124bo2b2obobo$213bobo122bobob2o2bo$212b2o2b2o
119b2obo4bo$214bob2obo120b3obo$213bo3bo2bo114bo3bo3bo$215b3o123b2o$
216b6o115bo3bo$216b3ob2o113b2o$218bo3bo112b2o2bo$220bo2b2o$202bo16bob
3o$200b2o2bo16bo2bo15bo$199b2o6bo15bo15bo$203bo5bo$199b2ob2o4bobo$200b
obo6bo$211bo46bo59bo2$258bo59bo$212bo47b2o58b2o$209b2o47bo2b2o55bo2b2o
$208b2o3bo108b2o$212bo110b2o$208b2ob2o111bo$209bobo$323bobobo762bo$
1090b2o$1091bo2$1090bobobo34$372bo$371bo6$374b2o$375bo$374bo2bo$375bob
o$375bo$378bo$375bobobo$378bo$377bobo$373bo$373bobo$323bo47b2ob2o698bo
2b2o$323b2o45bob2o703b2o$324bo27bo18bobo702bo$351bo20bo12bobo$323bobob
o58bobo689bo11bo$385bobo2b2o698b2o$1091bo$382b2o3bob2ob2o$382bo8bobo
696bobobo$380b2ob2o$379bob2o17bo$380bobo16bo$381bo10$332bo$331bo7$380b
o$379bo7$332bobo$331bob2o$333bobo$332b2o2b2o$334bob2obo$333bo3bo2bo$
335b3o$336b6o$336b3ob2o$338bo3bo$340bo2b2o$322bo16bob3o$320b2o2bo16bo
2bo15bo$319b2o6bo15bo15bo$323bo5bo$319b2ob2o4bobo$320bobo6bo$331bo46bo
59bo2$378bo59bo$332bo47b2o58b2o$329b2o47bo2b2o55bo2b2o$328b2o3bo107b2o
$332bo$328b2ob2o110bo$329bobo110b2o$441bob3o644bo$442bobo645b2o$443bo
647bo2$1090bobobo12$994bo2b2o$997b2o$996bo2$998bo7$2063bo$2063b2o$
2064bo2$2063bobobo29$1090bo$1090b2o$1091bo2$1090bobobo19$2047bo2b2o$
2050b2o$2049bo2$2051bo11bo$2063b2o$2064bo2$2063bobobo5$914bo2b2o$917b
2o$916bo2$918bo20$1090bo$1090b2o$1091bo2$1090bobobo23$2063bo$2063b2o$
2064bo2$2063bobobo10$606bo$605b2o$604bob3o1358bo2b2o$605bobo2b2o1358b
2o$606bo3b3o1356bo$612bo$1971bo$611bobobo8$834bo2b2o$837b2o$836bo2$
838bo251bo$1090b2o$1091bo2$1090bobobo22$660bo$659bo1403bo$2063b2o$
2064bo2$2063bobobo2$662b2o$663bo$662bo2bo$663bobo$663bo$666bo$663bobob
o$666bo$665bobo$661bo$661bobo$611bo47b2ob2o$611b2o45bob2o$612bo27bo18b
obo$639bo20bo12bobo$611bobobo58bobo$673bobo2b2o2$670b2o3bob2ob2o$670bo
8bobo$668b2ob2o$667bob2o17bo$668bobo16bo$669bo4$1090bo$1090b2o$1091bo$
1887bo2b2o$1090bobobo795b2o$1889bo$620bo$619bo1271bo7$668bo$667bo$754b
o2b2o$757b2o$752bo3bo$751b2o$750bo3bo3bo$749bob3o$620bobo125bo4bob2o$
619bob2o124bo2b2obobo$621bobo122bobob2o2bo$620b2o2b2o119b2obo4bo$622bo
b2obo120b3obo$621bo3bo2bo114bo3bo3bo1311bo$623b3o123b2o1312b2o$624b6o
115bo3bo1314bo$624b3ob2o113b2o$626bo3bo112b2o2bo1315bobobo$628bo2b2o$
610bo16bob3o$608b2o2bo16bo2bo15bo$607b2o6bo15bo15bo$611bo5bo$607b2ob2o
4bobo$608bobo6bo$619bo46bo59bo2$666bo59bo$620bo47b2o58b2o$617b2o47bo2b
2o55bo2b2o$616b2o3bo108b2o$620bo110b2o$616b2ob2o111bo$617bobo$731bobob
o12$1090bo$1090b2o$1091bo2$1090bobobo4$1579bo$1578b2o$1577bob3o$1578bo
bo2b2o$1579bo3b3o$1585bo2$1584bobobo8$1807bo2b2o$1810b2o$1809bo$780bo$
779bo1031bo251bo$2063b2o$2064bo2$2063bobobo2$782b2o$783bo$782bo2bo$
783bobo$783bo$786bo$783bobobo$786bo$785bobo$781bo$781bobo$731bo47b2ob
2o$731b2o45bob2o$732bo27bo18bobo$759bo20bo12bobo$731bobobo58bobo$793bo
bo2b2o2$790b2o3bob2ob2o$790bo8bobo$788b2ob2o840bo$787bob2o17bo823bo$
788bobo16bo$789bo4$1090bo544b2o$1090b2o544bo$1091bo543bo2bo$1636bobo$
1090bobobo541bo$1639bo$740bo895bobobo$739bo899bo$1638bobo$1634bo$1634b
obo$1584bo47b2ob2o$1584b2o45bob2o$1585bo27bo18bobo$788bo823bo20bo12bob
o$787bo796bobobo58bobo$1646bobo2b2o2$1643b2o3bob2ob2o$1643bo8bobo$
1641b2ob2o$1640bob2o17bo$740bobo898bobo16bo$739bob2o899bo$741bobo$740b
2o2b2o$742bob2obo$741bo3bo2bo1314bo$743b3o1317b2o$744b6o1314bo$744b3ob
2o$746bo3bo1312bobobo$748bo2b2o$730bo16bob3o841bo$728b2o2bo16bo2bo15bo
823bo$727b2o6bo15bo15bo$731bo5bo$727b2ob2o4bobo$728bobo6bo$739bo46bo
59bo2$786bo59bo794bo$740bo47b2o58b2o790bo$737b2o47bo2b2o55bo2b2o876bo
2b2o$736b2o3bo107b2o879b2o$740bo984bo3bo$736b2ob2o110bo872b2o$737bobo
110b2o871bo3bo3bo$849bob3o868bob3o$850bobo740bobo125bo4bob2o$851bo740b
ob2o124bo2b2obobo$1594bobo122bobob2o2bo$1593b2o2b2o119b2obo4bo$1595bob
2obo120b3obo$1594bo3bo2bo114bo3bo3bo$1596b3o123b2o$1597b6o115bo3bo$
1597b3ob2o113b2o$1599bo3bo112b2o2bo$1601bo2b2o$1090bo492bo16bob3o$
1090b2o489b2o2bo16bo2bo15bo$1091bo488b2o6bo15bo15bo$1584bo5bo$1090bobo
bo485b2ob2o4bobo$1581bobo6bo$1592bo46bo59bo2$1639bo59bo$1593bo47b2o58b
2o$1590b2o47bo2b2o55bo2b2o$1589b2o3bo108b2o$1593bo110b2o$1589b2ob2o
111bo$1590bobo$1704bobobo12$2063bo$2063b2o$2064bo2$2063bobobo22$1753bo
$1752bo6$1090bo664b2o$1090b2o664bo$1091bo663bo2bo$1756bobo$1090bobobo
661bo$1759bo$1756bobobo$1759bo$1758bobo$1754bo$1754bobo$1704bo47b2ob2o
$1704b2o45bob2o$1705bo27bo18bobo$1732bo20bo12bobo$1704bobobo58bobo$
1766bobo2b2o2$1763b2o3bob2ob2o$1763bo8bobo$1761b2ob2o$1760bob2o17bo$
1761bobo16bo$1762bo4$2063bo$2063b2o$2064bo2$2063bobobo2$1713bo$1712bo
7$1761bo$1139bo620bo$1138bo6$1141b2o570bobo$1142bo569bob2o$1141bo2bo
569bobo$1142bobo568b2o2b2o$1142bo572bob2obo$1145bo568bo3bo2bo$1142bobo
bo569b3o$1145bo571b6o$1144bobo570b3ob2o$1140bo578bo3bo$1140bobo578bo2b
2o$1090bo47b2ob2o560bo16bob3o$1090b2o45bob2o560b2o2bo16bo2bo15bo$1091b
o27bo18bobo559b2o6bo15bo15bo$1118bo20bo12bobo549bo5bo$1090bobobo58bobo
544b2ob2o4bobo$1152bobo2b2o542bobo6bo$1712bo46bo59bo$1149b2o3bob2ob2o$
1149bo8bobo598bo59bo$1147b2ob2o561bo47b2o58b2o$1146bob2o17bo542b2o47bo
2b2o55bo2b2o$1147bobo16bo542b2o3bo107b2o$1148bo564bo$1709b2ob2o110bo$
1710bobo110b2o$1822bob3o$1823bobo$1824bo5$1099bo$1098bo4$2063bo$2063b
2o$2064bo$1147bo$1146bo916bobobo7$1099bobo$1098bob2o$1100bobo$1099b2o
2b2o$1101bob2obo$1100bo3bo2bo$1102b3o$1103b6o$1103b3ob2o$1105bo3bo$
1107bo2b2o$1089bo16bob3o$1087b2o2bo16bo2bo15bo$1086b2o6bo15bo15bo$
1090bo5bo$1086b2ob2o4bobo$1087bobo6bo$1098bo46bo59bo2$1145bo59bo$1099b
o47b2o58b2o$1096b2o47bo2b2o55bo2b2o$1095b2o3bo107b2o$1099bo$1095b2ob2o
110bo$1096bobo110b2o$1208bob3o$1209bobo$1210bo21$2063bo$2063b2o$2064bo
2$2063bobobo38$2112bo$2111bo6$2114b2o$2115bo$2114bo2bo$2115bobo$2115bo
$2118bo$2115bobobo$2118bo$2117bobo$2113bo$2113bobo$2063bo47b2ob2o$
2063b2o45bob2o$2064bo27bo18bobo$2091bo20bo12bobo$2063bobobo58bobo$
2125bobo2b2o2$2122b2o3bob2ob2o$2122bo8bobo$2120b2ob2o$2119bob2o17bo$
2120bobo16bo$2121bo10$2072bo$2071bo7$2120bo$2119bo7$2072bobo$2071bob2o
$2073bobo$2072b2o2b2o$2074bob2obo$2073bo3bo2bo$2075b3o$2076b6o$2076b3o
b2o$2078bo3bo$2080bo2b2o$2062bo16bob3o$2060b2o2bo16bo2bo15bo$2059b2o6b
o15bo15bo$2063bo5bo$2059b2ob2o4bobo$2060bobo6bo$2071bo46bo59bo2$2118bo
59bo$2072bo47b2o58b2o$2069b2o47bo2b2o55bo2b2o$2068b2o3bo107b2o$2072bo$
2068b2ob2o110bo$2069bobo110b2o$2181bob3o$2182bobo$2183bo!
or something based on this?

Code: Select all

x = 10, y = 25, rule = 22da
bo$o$bobo$2bo12$3bo2$4bo3$3bo3bo$3b2o4bo$2bo$2o$2o!
The former is very inefficent, so the latter would be by far the best ... were it not for the fact that I do not have any GEP -> G converters handy.

Adding another rake at least makes the puffer more recognizable as a rake backrake, but p60 is obviously a bad period to make this at.

Code: Select all

x = 725, y = 725, rule = Marked22da
241.A$240.A.A$239.3A.A$241.2A$241.A$250.A$249.A.A$249.2A.A$247.2A.2A$
249.A$242.A5.2A$240.A.A$240.A3.A.A$243.A.A$244.A.A4$240.A.A2$243.A$
244.A$238.A3.A2.A$243.A$239.A2.2A.A$242.A$241.A3.A$245.A$245.A2$244.A
$245.A.A$245.A2.A$247.A$247.2A4$237.A$238.A2$203.A$202.A.A$201.3A.A$
203.2A$203.A$212.A$211.A.A$211.2A.A12.A$209.2A.2A14.A$211.A$204.A5.2A
$202.A.A$202.A3.A.A$205.A.A$206.A.A3$217.A$218.A2$202.A42.A.A$202.A
42.A2.A$203.2A42.A$203.A43.2A2$206.A25$245.A.A$245.A2.A$247.A$247.2A
10$349.A$348.A.A$348.2A.A$238.2A106.2A.2A$262.A.A27.A.A27.A.A21.A.A$
239.A2.A19.2A.A26.2A.A26.2A.A22.A$243.A98.A.A$241.2A21.2A28.2A28.2A2.
3A.A.A8.A$241.A84.A8.A6.A.A$243.A2.A85.2A2.A6.A10.A$242.A2.A.A83.2A.A
3.A6.2A6.A.A$244.2A84.A21.3A.A$338.A5.2A8.2A$247.A.A82.A21.A$249.A67.
A16.A$318.A9$307.A$308.A9$297.A$298.A3$308.A$307.A.A$209.2A96.2A.A$
305.2A.2A$209.2A.A92.A.A$210.A.A94.A$301.A.A$302.A$290.A10.A.A$302.A
10.A$293.A10.2A6.A.A$292.2A17.3A.A$294.2A7.2A8.2A$313.A29$169.2A2$
169.2A.A$170.A.A16$38.A2.2A$41.2A$40.A2$42.A$50.2A$46.A3.2A$49.A$48.A
$48.A$44.A$43.A2.A$46.A$44.2A$45.2A$45.3A2$46.3A4$129.2A2$129.2A.A$
130.A.A8$42.A$43.A8$A2.2A$3.2A27.A$2.A30.A10.A.A$45.2A$4.A40.3A$12.2A
$8.A3.2A32.3A$11.A$10.A$10.A$6.A$5.A2.A13.A$8.A14.A$6.2A$7.2A317.A.A$
7.3A316.A.2A2$8.3A317.2A2$335.A.A$89.2A243.2A.2A$12.A320.2A$13.A75.2A
.A240.A3.2A$90.A.A241.A.2A$335.A$333.A$336.A$335.2A5$44.A.A$45.2A$45.
3A2$46.3A2$323.A$324.2A3.2A$326.A2.A$326.A.A.A3$332.A$331.A3$333.A3$
330.A.A.A2$333.A$322.A10.2A$288.A.A30.A12.A$288.A.2A2$290.2A2$49.2A
246.A.A$296.2A.2A$44.A.A2.2A.A242.2A$45.2A3.A.A242.A3.2A$45.3A248.A.
2A12.A$297.A13.A$46.3A246.A$298.A$297.2A6$302.A$301.A$35.A$34.A.A$30.
A3.3A.A$31.2A4.A2.A$28.A2.2A2.A$33.A2.A4.A288.A.A.A$28.A.A.3A4.A$29.A
3.2A6.2A290.A$34.A6.A.A289.2A$334.A26$330.A.A.A2$333.A$333.2A$334.A3$
434.A.A$433.2A.2A$429.2A2.A$429.A2.A3.2A$44.A.A275.A18.2A2.A25.2A2.A
25.2A2.A27.A.2A$45.2A274.3A18.2A28.2A28.2A4.A22.A2.2A$45.3A276.A20.A
29.A29.A6.A196.A$411.A196.A.A$46.3A273.A.A20.A29.A29.A9.A.A189.3A.A$
325.A3.A86.2A21.A.A167.2A$325.A.2A86.A23.A.2A166.A$327.2A289.A$415.2A
24.2A174.A.A$328.2A87.A199.2A.A$330.A.A84.A197.2A.2A$333.A84.A198.A$
321.2A7.A2.2A67.A207.A5.2A$317.A3.2A10.A67.A206.A.A$318.A.A287.A3.A.A
$315.A.A293.A.A$314.A2.A2.A291.A.A$215.A.A100.2A.A$215.A.2A93.A.2A$
313.A2.A2.A$217.2A97.A.A289.A.A$313.A.A$224.A.A84.2A3.A75.A218.A$223.
2A.2A83.2A78.A220.A$223.A382.A3.A2.A$226.2A383.A$225.2A380.A2.2A.A$
225.A384.A$220.2A387.A3.A$220.3A390.A$221.A391.A2$222.A159.A229.A$
222.2A157.A231.A.A$223.A169.A.A217.A2.A$392.2A.2A218.A$388.2A2.A222.
2A$388.A2.A3.2A$392.A.2A$390.A2.2A$605.A$606.A2$215.A182.A.A170.A$
398.A.2A168.A.A$213.A355.3A.A$400.2A169.2A$571.A$580.A$219.A359.A.A$
218.A360.2A.A12.A$577.2A.2A14.A$579.A$572.A5.2A$570.A.A$570.A3.A.A$
573.A.A$574.A.A$177.A.A$177.A.2A28.A61.A$44.A.A161.A10.A.A.A361.A$45.
2A132.2A92.A312.A$45.3A174.A48.2A$186.A.A33.2A47.2A2.A294.A42.A.A$46.
3A136.2A.2A33.A346.A42.A2.A$185.A385.2A42.A$188.2A381.A43.2A$187.2A$
187.A386.A$182.2A15.A$182.3A13.A$183.A2$184.A$184.2A$185.A4$189.A$
188.A10$219.A.A.A2$222.A$222.2A389.A.A$223.A389.A2.A$615.A$615.2A3$
231.A2$233.A$231.2A$231.2A2.A3$717.A$716.A.A$716.2A.A$606.2A106.2A.2A
$630.A.A27.A.A27.A.A21.A.A$607.A2.A19.2A.A26.2A.A26.2A.A22.A$611.A98.
A.A$609.2A21.2A28.2A28.2A2.3A.A.A8.A$609.A84.A8.A6.A.A$611.A2.A85.2A
2.A6.A10.A$610.A2.A.A83.2A.A3.A6.2A6.A.A$612.2A84.A21.3A.A$706.A5.2A
8.2A$615.A.A82.A21.A$44.A.A172.A.A.A393.A67.A16.A$45.2A276.A.A360.A$
45.3A174.A99.2A.2A$222.2A97.2A$46.3A174.2A100.2A$224.2A2.A25.2A2.A25.
2A2.A25.2A8.2A$225.2A28.2A28.2A28.2A2.A$210.A.A15.A29.A29.A29.3A$212.
A.A104.2A$210.4A14.A29.A29.A10.A$213.2A83.A29.A.A344.A$214.2A112.A.2A
344.A$211.A4.A$211.A5.A87.A24.2A$217.2A.A$213.A4.2A83.A$212.A6.3A$
207.A2.2A3.2A2.A$210.2A7.A.A$191.A13.A3.A79.A$204.2A82.A376.A$193.A9.
A3.A3.A454.A$191.2A9.A.3A$191.2A2.A5.A4.A.2A$200.A2.2A.A.A467.A$199.A
.A.2A2.A467.A.A$198.2A.A4.A370.2A96.2A.A$201.3A.A467.2A.2A$196.A3.A3.
A372.2A.A92.A.A$202.2A75.A298.A.A94.A$198.A3.A75.A390.A.A$196.2A472.A
$196.2A2.A457.A10.A.A$670.A10.A$661.A10.2A6.A.A$660.2A17.3A.A$662.2A
7.2A8.2A$681.A2$269.A12.A.A$268.A12.2A.2A$280.2A$284.2A$273.2A8.2A$
274.2A2.A$277.3A$278.2A2$287.A.A$287.A.2A2$289.2A8$151.A$44.A.A$45.2A
106.A$45.3A103.2A$151.2A2.A$46.3A2$537.2A2$156.A380.2A.A$538.A.A$158.
A$156.2A$156.2A2.A27$111.A2$113.A$111.2A$111.2A2.A3$497.2A2$116.A380.
2A.A$498.A.A$118.A$116.2A$116.2A2.A8$44.A.A$45.2A$45.3A2$46.3A22$457.
2A2$457.2A.A$458.A.A31$44.A.A$45.2A$45.3A2$46.3A2$417.2A$515.2A$417.
2A.A94.2A$418.A.A93.A$54.A59.A59.A59.A59.A59.A59.A29.A29.A29.A7.2A$
54.A.A57.A.A57.A.A57.A.A57.A.A57.A.A57.A.A27.A.A27.A.A27.A.A$54.A.3A
55.A.3A55.A.3A55.A.3A55.A.3A55.A.3A55.A.3A25.A.3A25.A.3A25.A.2A.2A4.A
$56.2A58.2A58.2A58.2A58.2A58.2A58.2A28.2A28.2A28.3A$58.A59.A59.A59.A
59.A59.A59.A29.A29.A29.A2.A$396.A91.A21.A$397.A91.A27.A2.2A$396.2A.A
120.2A$401.A117.A$398.A$402.A118.A$401.A$399.A2.2A$400.A.A.A$396.3A3.
2A$397.3A78.A$398.A.2A77.A$400.2A$398.A3.A$397.A$398.A.A5$468.A$469.A
9$458.A15.2A$459.A14.2A$473.A$463.A7.2A$463.A.A$463.A.2A.2A4.A$465.3A
$467.A2.A$469.A$476.A2.2A$479.2A$478.A2$480.A!


User avatar
simsim314
Posts: 1766
Joined: February 10th, 2014, 1:27 pm

Re: 22da (Hexagonal Grid)

Post by simsim314 » June 2nd, 2014, 3:28 am

c0b0p0 wrote:Do you mean this
Yes, I meant the first.
c0b0p0 wrote:The former is very inefficent
Well it's what we got right now, and it will work. It's just few more rakes, not such a big deal. The main issue is with the "synthesized back rake" and we got one pretty efficient.

wildmyron
Posts: 1398
Joined: August 9th, 2013, 12:45 am

Re: 22da (Hexagonal Grid)

Post by wildmyron » June 2nd, 2014, 5:56 am

c0b0p0 wrote:The former is very inefficent, so the latter would be by far the best ... were it not for the fact that I do not have any GEP -> G converters handy.
I don't think it will help you out for the sawtooth, but is this what you mean by GEP -> G:

Code: Select all

x = 20, y = 31, rule = 22da
2$7.A$6.A2.A$9.3A$2.A4.2A.2A.A$11.A.A$4.2A7.A$3.A$.2A$.2A12$8.A$8.2A$
9.A2$8.A.A.A!
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

wildmyron
Posts: 1398
Joined: August 9th, 2013, 12:45 am

Re: 22da (Hexagonal Grid)

Post by wildmyron » June 3rd, 2014, 5:56 am

I was playing around in 22darealDLA with the p96 gun trying to find a small, stable glider turner and stumbled across a very long series of interactions between the glider stream, a glider reflector, and low period oscillator debris. The result is a p189792 oscillator. Now, high period oscillating patterns are very common in this rule, but they are generally psuedo oscillators made up of a large collection of relatively prime oscillators below p100.

Code: Select all

2x = 173, y = 136, rule = 22darealDLA
114.A$115.A$132.A$134.A10$132.A$130.A3.A$129.A.A2.2A$121.3A6.A2.A$95.
A33.A.A4.A$94.A3.A23.3A5.3A.A$94.2A2.A.A22.2A5.2A.A.A$97.A2.A23.A7.A.
A$95.A4.A.A$98.A.3A22.A$98.A.A.2A21.2A$100.A.A22.3A2$126.3A3$115.A$
114.A3.A$114.2A2.A.A$117.A2.A$115.A4.A.A$97.A2.2A16.A.3A$100.2A16.A.A
.2A$72.A26.A20.A.A$71.A3.A$71.2A2.A.A23.A$74.A2.A$62.2A8.A4.A.A$75.A.
3A$75.A.A.2A$77.A.A6$103.A$102.4A$104.A$102.6A2$103.2A2.2A$106.A44.A$
149.A3.A$74.A30.A.A.A38.A.A2.2A$107.2A40.A2.A$76.A71.A.A4.A$74.2A27.A
.A43.3A.A$74.2A2.A24.2A.A42.2A.A.A$151.A.A$105.2A2.A29.A$107.2A28.A3.
A$109.2A25.A.A2.2A$111.A25.A2.A$136.A.A4.A$137.3A.A$111.A25.2A.A.A$
110.4A25.A.A$112.A$110.6A2$111.2A2.2A$114.A2$113.A.A.A$115.2A$150.3A$
150.A2.A$151.A2$151.A.A$151.3A$157.A$156.A.A$157.2A$157.3A$42.A$158.
3A$44.A$42.2A109.A$42.2A2.A105.4A$154.A$152.6A13.2A2$153.2A2.2A$156.A
2$155.A.A.A$157.2A4$166.A$167.A15$10.A2$12.A$5.B4.2A$10.2A2.A$3.B2$.B
2$11.B$B$9.B2$7.B$4.B!
While exploring this and related patterns, I found the following glider interactions with small constellations of p2 and p4 oscillators ( G -> G with delay, and G -> 2G ):

Code: Select all

x = 113, y = 19, rule = 22da
8bo49bo49bo$44bo$10bo49bo49bo$8b2o35bo12b2o48b2o$8b2o2bo34bo10b2o2bo
34b2o9b2o2bo$99bo$95bo3bo$95bo4$o88b2o$bo47bo39bo9bo$50bo39bo4bo3bo$
95bo$11bo46bo37b2o$11bo$59bo$61bo!
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: 22da (Hexagonal Grid)

Post by c0b0p0 » June 5th, 2014, 10:18 pm

@simsim314: To make a rake of period O(2^n) using the first method requires O(2.5^n) cells, which is more inefficent than Banks-IV! Given that the construction of the backrake takes a very long time, the backrakes involved will naturally be larger than Uranos. Using the other method, making a rake of period O(2^n) would require (at minimum) O(n) cells, which is a large improvement.
In spite of this hassle, I managed to fix the timing bug in the rake backrake.

Code: Select all

x = 773, y = 1376, rule = Marked22da
119.A.A$119.A.2A2$121.2A111.2A$234.2A$229.A3.A$124.A59.A47.A$124.A.A
57.A.A43.2A$124.A.3A55.A.3A42.A.2A$126.2A58.2A41.A2.2A$128.A59.A43.A$
234.A$231.A11.2A$236.A2.A3.2A$205.A32.2A2.A$204.A32.2A2.A$221.3A11.A
3.2A$221.A.2A15.A$224.A.A11.A3.A$222.4A$226.2A$226.2A.A$224.A3.A$225.
A2.3A$228.A.2A$228.A2.A$230.2A8$185.A$184.A7$233.A$232.A11$165.A15.A.
A$164.A15.2A.2A$179.2A$183.2A$172.2A8.2A$173.2A2.A59.A.A$176.3A59.2A$
177.2A59.3A$213.A$190.A.A19.A26.3A$189.2A.2A$189.A$192.2A$191.2A$191.
A$186.2A$186.3A$187.A2$188.A$188.2A$189.A7$193.A$192.A36$237.A.A$238.
2A$238.3A2$239.3A112.2A$354.2A$349.A3.A$244.A59.A47.A$244.A.A57.A.A
43.2A$244.A.3A55.A.3A42.A.2A$246.2A58.2A41.A2.2A$248.A59.A43.A$354.A$
351.A11.2A$356.A2.A3.2A$325.A32.2A2.A$324.A32.2A2.A$341.3A11.A3.2A$
341.A.2A15.A$227.A116.A.A11.A3.A$226.A.A113.4A$225.3A.A116.2A$225.4A
117.2A.A$223.A.3A116.A3.A$223.2A120.A2.3A$221.5A122.A.2A$220.A2.A124.
A2.A$220.A2.A126.2A$218.5A$219.2A$216.3A.A$215.4A$214.A.3A$215.A.A$
216.A$305.A$304.A7$353.A$352.A$A.A$A.2A2$2.2A111.2A$115.2A$110.A3.A$
5.A59.A47.A$5.A.A57.A.A43.2A$5.A.3A55.A.3A42.A.2A$7.2A58.2A41.A2.2A$
9.A59.A43.A171.A15.A.A$115.A168.A15.2A.2A$112.A11.2A173.2A$117.A2.A3.
2A177.2A$86.A32.2A2.A168.2A8.2A$85.A32.2A2.A170.2A2.A59.A.A$102.3A11.
A3.2A174.3A59.2A$102.A.2A15.A175.2A59.3A$105.A.A11.A3.A209.A$103.4A
203.A.A19.A26.3A$107.2A200.2A.2A$107.2A.A198.A$105.A3.A202.2A$106.A2.
3A199.2A$109.A.2A198.A$109.A2.A193.2A$111.2A193.3A$307.A2$308.A$308.
2A$309.A3$66.A$65.A3$313.A$312.A3$114.A$113.A11$46.A15.A.A$45.A15.2A.
2A$60.2A$64.2A$53.2A8.2A$54.2A2.A59.A.A$57.3A59.2A$58.2A59.3A$94.A$
71.A.A19.A26.3A$70.2A.2A$70.A65.A$73.2A60.2A$72.2A60.A.3A$72.A62.A.A$
67.2A67.A$67.3A$68.A2$69.A$69.2A$70.A286.A.A$358.2A$358.3A2$359.3A2$
364.A.A$74.A289.A.2A$73.A$366.2A35$118.A.A$119.2A$119.3A2$120.3A116$
118.A.A$119.2A$119.3A2$120.3A116$118.A.A$119.2A$119.3A2$120.3A116$
118.A.A$119.2A$119.3A2$120.3A116$118.A.A$119.2A$119.3A2$120.3A68$400.
A.A$400.A.2A2$402.2A2$409.A.A$408.2A.2A$407.2A$407.A3.2A$408.A.2A$
409.A$407.A$410.A$409.2A11$397.A$398.2A3.2A$400.A2.A$400.A.A.A3$406.A
$405.A3$407.A3$404.A.A.A2$407.A$396.A10.2A$362.A.A30.A12.A$362.A.2A2$
364.2A2$371.A.A$370.2A.2A$118.A.A248.2A$119.2A248.A3.2A$119.3A248.A.
2A12.A$371.A13.A$120.3A246.A$372.A$371.2A6$376.A$375.A6$404.A.A.A2$
407.A$407.2A$408.A26$404.A.A.A2$407.A$407.2A$408.A3$508.A.A$507.2A.2A
$503.2A2.A$503.A2.A3.2A$396.A18.2A2.A25.2A2.A25.2A2.A27.A.2A$395.3A
18.2A28.2A28.2A4.A22.A2.2A$398.A20.A29.A29.A6.A$485.A$396.A.A20.A29.A
29.A9.A.A$399.A3.A86.2A21.A.A$399.A.2A86.A23.A.2A$401.2A$489.2A24.2A$
402.2A87.A$404.A.A84.A$407.A84.A$395.2A7.A2.2A67.A$391.A3.2A10.A67.A$
392.A.A$389.A.A$388.A2.A2.A$289.A.A100.2A.A$289.A.2A93.A.2A$387.A2.A
2.A$291.2A97.A.A$387.A.A$298.A.A84.2A3.A75.A$297.2A.2A83.2A78.A$297.A
$300.2A$299.2A$299.A$294.2A$294.3A$295.A2$296.A159.A$296.2A157.A$297.
A169.A.A$466.2A.2A$462.2A2.A$462.A2.A3.2A$466.A.2A$464.A2.2A4$289.A
182.A.A$472.A.2A$287.A$474.2A3$293.A$292.A8$251.A.A$251.A.2A28.A61.A$
118.A.A161.A10.A.A.A$119.2A132.2A92.A$119.3A174.A48.2A$260.A.A33.2A
47.2A2.A$120.3A136.2A.2A33.A$259.A264.A.A$262.2A260.A.2A$261.2A$261.A
264.2A111.2A$256.2A15.A360.A4.2A$256.3A13.A362.A2.A$257.A274.A59.A42.
3A$532.A.A57.A.A41.A$258.A273.A.3A55.A.3A40.A$258.2A274.2A58.2A37.A3.
2A$259.A276.A59.A35.A$633.5A$635.2A11.2A$610.A28.A8.2A$263.A347.A31.A
3.A$262.A378.A.2A.A$629.A.A8.2A3.2A$629.3A8.2A4.2A$641.A6.A$641.A.A$
630.A11.A$631.A3.2A$630.A.A2.A$635.2A2$293.A.A.A2$296.A$296.2A$297.A
4$590.A$305.A285.A2$307.A$305.2A$305.2A2.A3$638.A$639.A11$570.A$571.A
14.A.A$293.A.A.A287.2A.2A$397.A.A185.A56.A.A$296.A99.2A.2A187.2A53.2A
$296.2A97.2A183.2A2.A2.2A54.3A$297.2A100.2A180.2A3.A$298.2A2.A25.2A2.
A25.2A2.A25.2A8.2A244.3A$299.2A28.2A28.2A28.2A2.A224.A$284.A.A15.A29.
A29.A29.3A224.A$286.A.A104.2A200.A.A$284.4A14.A29.A29.A10.A220.2A.2A$
287.2A83.A29.A.A189.A$288.2A112.A.2A187.A3.2A$285.A4.A305.2A$285.A5.A
87.A24.2A188.A$291.2A.A$287.A4.2A83.A215.A$286.A6.3A297.2A$281.A2.2A
3.2A2.A300.A$284.2A7.A.A$265.A13.A3.A79.A$278.2A82.A$267.A9.A3.A3.A$
265.2A9.A.3A$265.2A2.A5.A4.A.2A$274.A2.2A.A.A$273.A.A.2A2.A$272.2A.A
4.A317.A$275.3A.A319.A$270.A3.A3.A$276.2A75.A$272.A3.A75.A$270.2A$
270.2A2.A7$343.A12.A.A$342.A12.2A.2A$354.2A$358.2A$347.2A8.2A$348.2A
2.A$351.3A$352.2A2$361.A.A$361.A.2A2$363.2A8$225.A$118.A.A$119.2A106.
A414.A.A$119.3A103.2A416.2A$225.2A2.A413.3A$120.3A$644.3A3$230.A528.
2A$754.A4.2A$232.A522.A2.A$230.2A420.A59.A42.3A$230.2A2.A417.A.A57.A.
A41.A$652.A.3A55.A.3A40.A$654.2A58.2A37.A3.2A$656.A59.A35.A$753.5A$
755.2A11.2A$730.A28.A8.2A$731.A31.A3.A$761.A.2A.A$749.A.A8.2A3.2A$
749.3A8.2A4.2A$632.A128.A6.A$631.A.A127.A.A$629.A.2A.A115.A11.A$630.A
.2A117.A3.2A$625.A3.3A118.A.A2.A$626.2A2.A.A122.2A$626.A.A$627.A.A$
623.A.A2.2A$624.3A3.A$622.2A.A$621.A.2A.A$622.A.A$623.A2$710.A$185.A
525.A2$187.A$185.2A$185.2A2.A3$758.A$759.A$190.A2$192.A$190.2A$190.2A
2.A6$690.A$691.A14.A.A$705.2A.2A$705.A56.A.A$708.2A53.2A$700.2A2.A2.
2A54.3A$701.2A3.A$764.3A$738.A$739.A$715.A.A$714.2A.2A$714.A$713.A3.
2A$716.2A$714.A2$713.A$713.2A$714.A9$718.A$719.A25$543.A$542.2A$541.A
.3A$542.A.A$543.A4$118.A.A$119.2A641.A.A$119.3A641.2A$763.3A$120.3A$
764.3A2$595.2A$590.A4.2A$591.A2.A$128.A119.A119.A119.A59.A42.3A175.A.
A$128.A.A117.A.A117.A.A117.A.A57.A.A41.A176.A.2A$128.A.3A115.A.3A115.
A.3A115.A.3A55.A.3A40.A$130.2A118.2A118.2A118.2A58.2A37.A3.2A176.2A$
132.A119.A119.A119.A59.A35.A$589.5A$591.2A11.2A$566.A28.A8.2A$567.A
31.A3.A$597.A.2A.A$585.A.A8.2A3.2A$585.3A8.2A4.2A$597.A6.A$597.A.A$
586.A11.A$587.A3.2A$586.A.A2.A$591.2A10$546.A$547.A7$594.A$595.A11$
526.A$527.A14.A.A$541.2A.2A$541.A56.A.A$544.2A53.2A$536.2A2.A2.2A54.
3A$537.2A3.A$600.3A$574.A$575.A$551.A.A$550.2A.2A$550.A$549.A3.2A$
552.2A$550.A2$549.A$549.2A$550.A9$554.A$555.A34$598.A.A$599.2A$599.3A
2$600.3A5$605.A.A$605.A.2A2$607.2A!
@wildmyron: I've encountered several one-time mobile GEP -> G converters, but what I was thinking of was a mobile GEP -> G converter that was not one-time.

On a lighter note, here is the new smallest rake!

Code: Select all

x = 58, y = 59, rule = 22da
55bo$54bobo$54b2obo$53bob2o$54bo$54bo48$3b2o$3b2o$2bo$2o2$3bo!

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: 22da (Hexagonal Grid)

Post by c0b0p0 » June 6th, 2014, 8:30 pm

The mythical efficent way of producing rakes (O(N) cells for a period of O(2^N)) has been FOUND!!!

Code: Select all

x = 290, y = 482, rule = 22da
bo$o85$136b2o$136b2o3$143b2o$144bobo$145b2o$144b4o$143bo2bo$141b2o4bo$
141b2o19$166bobo$167b4o$168b2o$168bob2o$167bo3bo$165b2o$165b2o4$174b2o
$174b2o50$136b2o$136b2o4$142bo2$144b2o$143bo$141b2o$141b2o21$168bo$
168bo$167bo$165b2o3bo$165b2o4$174b2o$174b2o241$281bo$280bo$281bobo$
282bo12$283bo2$284bo3$283bo3bo$283b2o4bo$282bo$280b2o$280b2o!
Not only does it have a mere 85 cells, but it has a period of more than 10000, far more than adequate for the sawtooth.

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: 22da (Hexagonal Grid)

Post by c0b0p0 » June 8th, 2014, 8:05 pm

Since the previous binary adder was too dirty and had a bad period, I decided to switch to another one and thus omit one of the rakes (which, you recall, had another rake "just in case" a glider was made into a rake) and make the cleaning work reasonably manageable. After some time, I came up with a six-rake solution for cleaning the "extra" junk (the junk other than the GEPs' debris), but I am sure that there are more compact ways to do it.

Code: Select all

x = 2786, y = 1517, rule = 22da
1159bo$1158b2o$1157bob3o$1158bobo$1159bo4$1165bo$1165bobo$1163b2ob2o$
1162bob2o$1163bobo$1164bo20$1189b2o$1189bo$1187b2ob2o$1186bob2o$1187bo
bo$1188bo$1197bo$1196b2o$1195bob3o$1196bobo$1197bo155$946bo$945b2o$
944bob3o$945bobo$946bo4$952bo$952bobo$950b2ob2o$949bob2o$950bobo$951bo
20$976b2o$976bo$974b2ob2o$973bob2o$974bobo$975bo$984bo$983b2o$982bob3o
$983bobo$984bo172$707bo$706b2o$705bob3o$706bobo$707bo4$713bo$713bobo$
711b2ob2o$710bob2o$711bobo$712bo20$737b2o$737bo$735b2ob2o$734bob2o$
735bobo$736bo$745bo$744b2o$743bob3o$744bobo$745bo196$462bo$461b2o$460b
ob3o$461bobo$462bo4$468bo$468bobo$466b2ob2o$465bob2o$466bobo$467bo20$
492b2o$492bo$490b2ob2o$489bob2o$490bobo$491bo$500bo$499b2o$498bob3o$
499bobo$500bo199$238bo$237b2o$236bob3o$237bobo$238bo4$244bo$244bobo$
242b2ob2o$241bob2o$242bobo$243bo20$268b2o$268bo$266b2ob2o$265bob2o$
266bobo$267bo$276bo$275b2o$274bob3o$275bobo$276bo160$2781bo2$2783bo$
2781b2o$2781b2o2bo53$2bo$b2o$ob3o$bobo$2bo4$8bo$8bobo$6b2ob2o$5bob2o$
6bobo$7bo20$32b2o$32bo$30b2ob2o$29bob2o$30bobo$31bo$40bo$39b2o$38bob3o
$39bobo$40bo168$76bo$78bo$76b2o$77bobo4$83b2o$82b2o$81b2o$85bo$81b2ob
2o$82bobo51$16bo$14b2o$14b2o2bo4$20bo2$22b2o$21bo$19b2o$19b2o66bo$86bo
$87bobo$88bo33$292bo$291bo$292bobo$293bo4$299bo$299bobo$297b2ob2o$296b
ob2o$297bobo$298bo19$324b2o$324bo$322b2ob2o$321bob2o$322bobo$323bo2$
331bo$330bo$331bobo$332bo!
On a completely unrelated note, here is a diehard with lifespan 203, fitting in a 4x8 box.

Code: Select all

x = 4, y = 8, rule = 22da
bo2$obo2$2bo$2bo2$3bo!

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: 22da (Hexagonal Grid)

Post by c0b0p0 » June 9th, 2014, 9:28 pm

Cleaning the mess up with gliders doesn't seem to make the thing any smaller, unfortunately -- it seems like a mix of gliders and rakes would be optimal.

Code: Select all

x = 3297, y = 3418, rule = 22da
318b2o$319bo$318bo2bo$319bobo27$348b2o$349bo$348bo2bo$349bobo27$378b2o
$379bo$378bo2bo$379bobo2010$1255bo$1254bo2$1255bo13$1247bo2$1237bo10bo
$1237bo13b2o$1252bobo$1252bo2$1255bo11$1257bo$1258bo9$1247bo$1248bo9$
1237bo$1238bo9$1227bo$1228bo9$1217bo$1201bo16bo49bo$1267bo$1202bo4$
1255bo2$1256bo2$1191bo40bo$1232bo24bo$1192bo$1242bo4bo10bo$1241bo$
1225bo17bo4bo$1225bo6bo$1240bo$1209b2o22bo$1241bo$1181bo$1389bo16bo$
1182bo31bo174bo16bo$1215bo4$1380bobo$1247bo133b2o10b2o$1249bo$1171bo
72b2o$1244bo181bo44b2o$1172bo62bo9bo3bo135bo40bo46bo$1250bo218bo3bo$
1236bo12b2o128b2o5bo82bo4$1241bo$1240bo232bo$1161bo30bo276bo3bo$1183bo
9bo43bo208bo22bo$1162bo20bo52bo165bobo41bo23b2o$1372b2o29b2o7bo$1392bo
18bo$1413bo68b2o$1357bo35bo88bobo$1356bo$1191bo216bo$1361b3o43bo$1192b
o168b3o$1173bo188b2o$1173bo187b2o$1179bo$1178bo209b2o$1435bo36bo$1437b
o30bo5bo$1195b2o270bo$1197bo24bo237bo$1197bo262bo$1180bo42bo$1179bo$
1482bo$1484bo$1483bo$1423b2o$1160bo262bobo$1417bo$1161bo256bo$1417b2o$
1201bo$1201bo222b2o$1165bo258bo$1159bo6bo258bo66bo$1159bo348b2o5b2o$
1493bo23bo$1506bo10bo$1506bo$1171bo36bo298b2o5b2o$1172bo319bo$1161bo
47bo13bo267bo$1162bo62bo3$1194bo$1194bo295bo$1140bo349bo2$1141bo2$
1243bo$1152bo92bo$1145bo5bo2bo$1139bo6bo$1138bo75bo$1214bo3$1154bo2bo
104bo$1156bo106bo$1140bo$1139bo$1264bo$1263bo$1234bo$1234bo$1120bo2$
1121bo3$1175b2o$1125bo49bobo$1119bo6bo138bo$1118bo135bo12bo$1254bo$
1271bo$1175bo96bo8bo$1131bo42bo108bo$1132bo4$1121b2o161bo$1154bo$1154b
o130bo$1100bo2$1101bo3$1112bo$1105bo5bo2bo$1099bo6bo$1098bo4$1114bo2bo
$1116bo$1100bo$1099bo5$1080bo2$1081bo2$1123bo$1125bo$1085bo$1079bo6bo$
1079bo4$1091bo$1092bo$1081bo72bobo$1082bo72b2o3$1114bo$1114bo$1060bo$
1155bo$1061bo92bo3$1072bo$1065bo5bo2bo$1059bo6bo$1058bo75bo$1134bo3$
1074bo2bo$1076bo$1060bo$1059bo5$1040bo2$1041bo3$1095b2o$1045bo49bobo$
1039bo6bo$1038bo3$1095bo$1051bo42bo$1052bo2$1041bo$1042bo$1041b2o$
1074bo$1074bo$1020bo2$1021bo3$1032bo$1025bo5bo2bo$1019bo6bo37bo$1018bo
47bo4$1034bo2bo$1036bo$1020bo$1019bo5$1000bo2$1001bo2$1043bo$1045bo$
1005bo$999bo6bo$999bo4$1011bo$1012bo$1001bo61bo$1002bo62bo3$1034bo$
1034bo$980bo2$981bo3$992bo102b2o$985bo5bo2bo100bobo$979bo6bo$978bo75bo
$1054bo2$1095bo$994bo2bo96bo$996bo$980bo$979bo3$1074bo$1074bo$960bo2$
961bo3$1015b2o$965bo49bobo$959bo6bo$958bo3$1015bo$971bo42bo$972bo4$
961b2o$994bo$994bo$940bo2$941bo3$952bo$945bo5bo2bo$939bo6bo$938bo4$
954bo2bo$956bo$940bo$939bo5$920bo2$921bo2$963bo$965bo$925bo$919bo6bo$
919bo4$931bo$932bo$921bo72bobo$922bo72b2o3$954bo$954bo$900bo$995bo$
901bo92bo3$912bo$905bo5bo2bo$899bo6bo$898bo75bo$974bo3$914bo2bo$916bo$
900bo$899bo5$880bo2$881bo3$935b2o$885bo49bobo$879bo6bo$878bo3$935bo$
891bo42bo$892bo2$881bo$882bo$881b2o$914bo$914bo6$872bo$865bo5bo2bo$
859bo6bo37bo$858bo47bo4$874bo2bo$876bo$860bo$859bo9$883bo$885bo$845bo$
839bo6bo$839bo4$851bo$852bo$841bo61bo$842bo62bo3$874bo$874bo5$923bo$
814b2o16bo92bo$825bo5bo2bo$826bo$894bo$894bo3$834bo2bo104bo$836bo106bo
$820bo$819bo$944bo$943bo$914bo$914bo6$855b2o$805bo49bobo$806bo138bo$
934bo12bo$934bo$951bo$855bo96bo8bo$811bo42bo108bo$812bo4$801b2o161bo$
834bo$834bo130bo6$792bo$785bo5bo2bo$786bo5$794bo2bo$796bo$780bo$779bo
9$803bo$805bo$765bo$766bo5$771bo$772bo$761bo72bobo$762bo72b2o3$794bo$
794bo2$835bo$834bo3$752bo$751bo2bo2$814bo$814bo3$754bo2bo$756bo$740bo$
739bo10$775b2o$775bobo5$775bo$731bo42bo$732bo2$721bo$722bo$721b2o$754b
o$754bo6$712bo$711bo2bo$744bo$746bo4$714bo2bo$716bo$700bo$699bo9$723bo
$725bo7$691bo$692bo$681bo61bo$682bo62bo3$714bo$714bo6$672bo102b2o$671b
o2bo100bobo2$734bo$734bo2$775bo$674bo2bo96bo$676bo$660bo$615bo43bo$
614b2o$613bob3o$614bobo137bo$615bo138bo4$619bo2$621bo73b2o$619b2o74bob
o$619b2o2bo4$695bo$651bo42bo$612bo39bo$611b2o$610bob3o$611bobo$612bo
28b2o$674bo$674bo$614bo2$616bo$614b2o$614b2o2bo$632bo$631bo2bo6$634bo
2bo$636bo$620bo$619bo9$643bo$645bo7$611bo$612bo$601bo72bobo$602bo72b2o
3$634bo$634bo2$580bo94bo$674bo$582bo$580b2o$580b2o2bo7bo$591bo2bo2$
654bo$654bo3$594bo2bo$596bo$580bo$579bo5$528bo$527b2o$526bob3o$527bobo
$528bo$615b2o$615bobo2$532bo2$534bo$532b2o81bo$532b2o2bo34bo42bo$572bo
2$561bo$562bo$561b2o$525bo68bo$524b2o68bo$523bob3o$524bobo5bo$525bo6bo
3$527bo24bo$551bo2bo$529bo54bo$527b2o57bo$527b2o2bo3$554bo2bo$556bo$
540bo$539bo8$521bo$563bo$522bo42bo7$531bo$532bo$521bo61bo$522bo62bo3$
554bo$554bo4$501bo$603bo$502bo9bo92bo$493bo17bo2bo2$495bo78bo$493b2o
79bo$493b2o2bo2$514bo2bo104bo$516bo106bo$500bo$499bo$624bo$623bo$594bo
$594bo6$535b2o$485bo49bobo$486bo138bo$614bo12bo$614bo$432bo198bo$431b
2o102bo96bo8bo$430bob3o56bo42bo108bo$431bobo58bo$432bo3$481b2o161bo$
436bo77bo$439b2o73bo130bo$438bo$436b2o3bo$436b2o3$472bo$465bo5bo2bo$
466bo$429bo$428b2o$427bob3o$428bobo$429bo44bo2bo$476bo$460bo$431bo27bo
2$433bo$431b2o$431b2o2bo5$483bo$485bo$445bo$446bo4$399bo$398b2o51bo$
397bob3o50bo$398bobo40bo72bobo$399bo42bo72b2o3$474bo$474bo2$515bo$514b
o3$414b2o16bo$425bo5bo2bo$426bo$494bo$494bo3$434bo2bo$436bo$420bo$419b
o$397bo2$399bo$397b2o$397b2o2bo5$455b2o$405bo49bobo$399bo6bo$398bo3$
455bo$411bo42bo$412bo2$401bo$402bo$401b2o$434bo$434bo6$392bo2376bo$
385bo5bo2bo2373b2o$379bo6bo37bo2342bob3o$378bo47bo2341bobo$2769bo3$
394bo2bo$396bo$380bo$379bo6$322b2o2$322b2obo$323bobo77bo$405bo$365bo$
359bo6bo$359bo$329bo$328b2o$327bob3o$328bobo40bo$329bo42bo$361bo61bo$
362bo62bo3$331bo62bo$319b2o10bo62bo2$319b2obo$320bobo3$352bo102b2o$
324bo20bo5bo2bo100bobo$323b2o14bo6bo$322bob3o11bo75bo$323bobo88bo$324b
o$455bo$354bo2bo96bo$356bo$340bo$339bo3$434bo$434bo$320bo2$321bo3$375b
2o$325bo49bobo$319bo6bo$318bo3$375bo$331bo42bo$332bo4$321b2o$354bo$
354bo$300bo2$301bo3$312bo$305bo5bo2bo$299bo6bo$298bo4$314bo2bo$316bo$
300bo$299bo5$280bo2$281bo2$323bo$325bo$285bo$279bo6bo$279bo4$291bo$
292bo$281bo72bobo$282bo72b2o3$314bo$314bo$260bo$355bo$261bo92bo3$272bo
$265bo5bo2bo$259bo6bo$258bo75bo$334bo3$274bo2bo$276bo$260bo$259bo5$
240bo2$241bo3$295b2o$245bo49bobo$239bo6bo$238bo3$295bo$251bo42bo$252bo
2$241bo$242bo$241b2o$274bo$274bo$220bo2$221bo3$232bo$225bo5bo2bo$219bo
6bo37bo$218bo47bo4$234bo2bo$236bo$220bo$219bo5$200bo2$201bo2$243bo$
245bo$205bo$199bo6bo$198bo4$211bo$212bo$200bo62bo$199bo65bo3$234bo$
234bo$180bo2$181bo2$283bo$192bo92bo$185bo5bo2bo$179bo6bo$178bo54bobo
18bo$233b2obo17bo2$235b2o$194bo2bo18bo85bo$196bo21bo84bo$180bo$179bo$
304bo$303bo$274bo$274bo$160bo2$161bo2$203bo$205bo$165bo$159bo6bo138bo$
158bo84bobo48bo12bo$243b2obo47bo$311bo$245b2o65bo8bo$171bo151bo$172bo$
160bo$159bo2$324bo$117bo76bo$90bo4b2o19b4o74bo130bo$94bobobo14b2o3bob
2o18bo$92b3o3b2o12b2obo5bo$90b2o3bo2bo12bob3o6bo18bo74bo$90b2o8bo11bob
o103bo$100bo12bo$101bo20bo$145bo$139bo6bo$98bo18bo20bo114bobo$95b2o24b
o131b2obo$100bo18bo$95b2obo18b2o136b2o$96bobo18b2o2bo20bo8bo24bo$142bo
9bo25bo$140bo$100bo22bo15bo$102bo20bo21b3o$146b2o$146bobo$147bo$147b2o
2$123bo9bo4bo$122bo3b2o7b2o4bo$122bo2bo7b4o2bobo$79bo10bo22bo9bob2o2bo
6bo2bo2b2o$92bo20bo14bobo11b2o$81bo37bo9b2o4bob2o2bobo$79b2o37bo11bobo
bo128bobo$79b2o2bo51bob2o2bo11bo109b2obo$119bo16b2o14bo$63bo36bo29bo
35bo98b2o$101bo29b2o20b2o10b2o$65bo34b2o29b2o18b2o2bo3bo6bobo$63b2o41b
o2bo23bo16b2o2bo2b2o51b2o28b2o$63b2o2bo11bo25bo60bo$80bo27bo41b2obo13b
2o41b2obo26b2obo$78bo2bo24b2obobo39bobo13bobobo39bobo27bobo168bo959bo
959bo959bo$70b2o6bo4b2o26bob2o56bob2o238b2o958b2o958b2o958b2o$71bobo5b
o3b2obo20bo5b2obo56b2obo235b3obo955b3obo955b3obo955b3obo$72b2o10bobo
22bo4bobo57bobo237bobo957bobo957bobo957bobo$71b4o11bo29bo59bo239bo959b
o959bo959bo$70bo2bo$68b2o4bo$68b2o16bo$87bo3$273bobo$273b2obo2$275b2o
3$76bo$77bo9$66bo$67bo3$283bobo$283b2obo2$285b2o3$56bo$57bo9$46bo$47bo
3$293bobo$293b2obo2$295b2o3$2bo33bo41bo$b2o15bo18bo$ob3o15bo59bo$bobo
2b2o67bo$2bo3bob2o10b2o$7bobo6bo3bo2b2o52bo$18b2o2bo2b2o28b2o$11bo$10b
2o13bob2o26bob2o$8bobobo13bobo27bobo$6b2obo$5bob2o$6bobo64b2o$7bo$73b
2obo226bobo$74bobo226b2obo2$305b2o3$336bobo8$329b2o$329b4o$329bo$330bo
bobo$332b2o2$313bobo$313b2ob2o2$315b2o8bo$317b2o3b2obo$321bobo2bo$318b
o4b2o$319b2o3bo$322bo$321bob2o$323bobo2$322bo$310b2o12bo$278b2o25b2o3b
obo$305bo4bo2bo$278b2obo21bo2bo4b3o$279bobo23bo7bo$313b3o$313bo$314bo
2bo$286bo3b2o22bo$284b2o2bo2b2o$283b2o31b3o$287bo30bo$283b2ob2o$284bob
o$318bobo$317bob2o2$318bo11$312bo$312b2o$313bo2$312bo$309b2o$308b2o3bo
$312bo$308b2ob2o$309bobo2$317b2o2$317b2obo$318bobo!
To more than compensate, though, a smaller backrake might easily be possible, especially with a new two-glider duoplet -> G converter.

Code: Select all

x = 8, y = 35, rule = 22da
2o2$2obo$bobo16$4b2o2$4b2obo$5bobo11$bo$3bo!

User avatar
simsim314
Posts: 1766
Joined: February 10th, 2014, 1:27 pm

Re: 22da (Hexagonal Grid)

Post by simsim314 » June 10th, 2014, 8:29 am

c0b0p0 wrote: a smaller backrake might easily be possible, especially with a new two-glider duoplet -> G converter
Here is an attempt:

Code: Select all

x = 27, y = 39, rule = 22da
20bobo2b2o$22bo2b2o$18b4o2bo$11bobo4bo2bo$2bo2b2o4bob2o6b2o2b2o$5b2o
14b4o$4bo8b2o9bobo$o3bo19bo$o12bo9b2o$15bo$14bo$8bo7bo$8bo4$10bobo$10b
ob2o2$12b2o16$14bobo$14bob2o2$16b2o!

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: 22da (Hexagonal Grid)

Post by c0b0p0 » June 10th, 2014, 6:40 pm

@simsim314: I think the result might be cleaner (and thus easier to clean) if you just used a GEP and two gliders (one to delete half of the GEP's debris and one to change the duoplet's orientation) in place of the duoplet puffer, like this:

Code: Select all

x = 64, y = 31, rule = 22da
57b2o$57b2o$56bo$54b2o2$57bo4$59bo2b2o$62b2o$61bo2$63bo13$o2b2o$3b2o$
2bo2$4bo!
---------------------
Mixing gliders and rakes worked quite well. I think this is the optimal cleanup solution for the binary adder.

Code: Select all

x = 738, y = 659, rule = 22da
632bo102b2o$625bo5bo2bo100bobo$619bo6bo$618bo75bo$694bo2$735bo$634bo2b
o96bo$636bo$620bo$619bo3$714bo$714bo6$655b2o$479bo125bo49bobo$479bo
119bo6bo$598bo$474b2o2$655bo$479bo131bo42bo$463b2o14b2o131bo$463bobo
12b5o$478b2o2b2o$464bo15bobo$467bo133b2o$467bo166bo$465bo168bo2$448bo$
416bo30bo5bo$447bo$418bo29b2o$416b2o31bo7b2o133bo$416b2o2bo11bo24bobo
125bo5bo2bo$433bo145bo6bo$431bo2bo143bo$423b2o6bo4b2o20b4o12bo$424bobo
5bo3b2obo35bobo$425b2o10bobo$424b4o11bo20bobo13bo117bo2bo$423bo2bo34b
2o13b2o118bo$421b2o4bo49bo102bo$421b2o156bo7$448b3o2$449b3o151bo$450b
2o153bo$565bo$452bo106bo6bo$453bo105bo$450bo3bo$451b2o2$571bo$572bo$
446bobo112bo72bobo$447b4o111bo72b2o$448b2o$448bob2o$447bo3bo142bo$445b
2o147bo$445b2o$454bo180bo$634bo$456bo$454b2o$454b2o2bo93bo$545bo5bo2bo
$539bo6bo$538bo75bo$614bo3$554bo2bo$556bo$540bo$539bo10$575b2o$525bo
49bobo$519bo6bo$518bo3$575bo$531bo42bo$532bo2$521bo$522bo$521b2o$554bo
$554bo6$512bo$505bo5bo2bo$499bo6bo37bo$498bo47bo4$514bo2bo$516bo$500bo
$499bo9$523bo$525bo$485bo$479bo6bo$478bo4$491bo$492bo$480bo62bo$479bo
65bo3$514bo$514bo5$563bo$565bo3$534bo$534bo3$474bo2bo18bo85bo$476bo21b
o84bo$460bo$459bo$584bo$583bo$554bo$554bo$359bo$359bo2$354b2o$483bo$
485bo$359bo$343b2o14b2o224bo$343bobo12b5o211bo12bo$358b2o2b2o210bo$
344bo15bobo228bo$347bo244bo8bo$347bo255bo$345bo2$328bo$296bo30bo5bo$
327bo113b2o161bo$298bo29b2o144bo$296b2o31bo7b2o135bo130bo$296b2o2bo11b
o24bobo$313bo$311bo2bo$303b2o6bo4b2o20b4o12bo$304bobo5bo3b2obo35bobo$
305b2o10bobo$304b4o11bo20bobo13bo$303bo2bo34b2o13b2o$301b2o4bo49bo$
301b2o3$434bo2bo$436bo$373bobobo42bo$419bo$328b3o45bo$376b2o$329b3o45b
o$330b2o2$332bo$333bo$330bo3bo$331b2o60bobobo45bo$445bo$396bo$396b2o$
326bobo68bo$327b4o$328b2o69bo$328bob2o68bo$327bo3bo$325b2o$325b2o74bo
72bobo$334bo67bo72b2o2$336bo$334b2o98bo$334b2o2bo95bo2$475bo$474bo6$
454bo$454bo3$394bo2bo$396bo$380bo$379bo6$322b2o2$322b2obo$323bobo$415b
2o$415bobo3$329bo$328b2o$327bob3o83bo$328bobo83bo$329bo2$361bo$362bo$
361b2o$394bo$319b2o73bo2$319b2obo$320bobo4$324bo$323b2o59bo$322bob3o
59bo$323bobo$324bo2$354bo2bo$356bo$340bo$339bo5$320bo2$321bo2$363bo$
365bo5$319bo$320bo3$321bo61bo$322bo62bo3$354bo$354bo6$415b2o$415bobo2$
374bo$374bo2$415bo$314bo2bo96bo$316bo$300bo$299bo3$394bo$394bo$280bo2$
281bo3$335b2o$335bobo5$335bo$334bo5$281b2o$314bo$314bo13$274bo2bo$276b
o$260bo$259bo5$126bo113bo$122bo5bo$241bo$124bo$123bo4bo154bo$285bo2$
127b2o$111bo15b3o$115bo$111bob2o124bo$112bo2bo3bo120bo$112bob2obo$113b
o$95bo145bo72bobo$65bo49b2obo123bo72b2o$95b2o5bo$67bo33bo15bo$65b2o29b
2o3bo17b2obo151bo$65b2o2bo32bo18bo152bo$78bo22bo3bobo11bo$315bo$72bo8b
3o23bo14bobo189bo$73b2o4bob3obo$73bo9bobo22bo14bo$73b3o9bo37b2o$72bo
35bobo13bo$70b2o$70b2o222bo$294bo3$140bobobo89bo2bo$236bo$143bo76bo$
143b2o74bo$144bo2$97b3o$250bo$98b3o99bo46bo$99b2o$99b2o59bobobo36bo45b
obo$245b2o3bo$99bo63bo85bo$102bo60b2o90b2o$164bo90bobo2$97bo$97bobo$
97b3o$96bo3bo154bo$94b2o84bobobo69bo$94b2o$103bo79bo$183b2o16bo$105bo
78bo17bo$103b2o96b2o$103b2o2bo126bo$234bo$180bo2$181bo3$192bo$185bo5bo
2bo$179bo6bo$178bo54bobo$233b2obo2$235b2o$194bo2bo18bo$196bo21bo6b2o$
180bo45bo$179bo45bo2bo$226bobo4$160bo2$161bo2$203bo$205bo$165bo$159bo
6bo$158bo84bobo$243b2obo2$245b2o$171bo$172bo$160bo62bo$159bo65bo3$117b
o76bo$90bo4b2o19b4o74bo$94bobobo14b2o3bob2o18bo$92b3o3b2o12b2obo5bo$
90b2o3bo2bo12bob3o6bo18bo$90b2o8bo11bobo$100bo12bo129bo$101bo20bo122bo
$145bo$139bo6bo$98bo18bo20bo75bo$95b2o24bo92bo$100bo18bo$95b2obo18b2o$
96bobo18b2o2bo20bo8bo24bo$142bo9bo25bo$140bo$100bo22bo15bo$102bo20bo
21b3o116bo$146b2o116bobo$146bobo85bo27b2obo2bo$147bo86bo26b4o5bo$147b
2o112bo6bo$262bo8bo$123bo9bo4bo123b3o2bo$122bo3b2o7b2o4bo122bo5bobo$
122bo2bo7b4o2bobo126bob2obo$79bo10bo22bo9bob2o2bo6bo2bo2b2o128b2o$92bo
20bo14bobo11b2o$81bo37bo9b2o4bob2o2bobo127bobo$79b2o37bo11bobobo119bo
13bo4b2o$79b2o2bo51bob2o2bo11bo100bo15bo2bo$119bo16b2o14bo$63bo36bo29b
o35bo109b2o3bo$101bo29b2o20b2o10b2o109bo6bo$65bo34b2o29b2o18b2o2bo3bo
6bobo110bo$63b2o41bo2bo23bo16b2o2bo2b2o21b2o28b2o28b2o33bo5bo$63b2o2bo
11bo25bo60bo111bo2bo$80bo27bo41b2obo13b2o11b2obo26b2obo26b2obo33bo4bo$
78bo2bo24b2obobo39bobo13bobobo9bobo27bobo27bobo48bo$70b2o6bo4b2o26bob
2o56bob2o108bo9b2o$71bobo5bo3b2obo20bo5b2obo56b2obo108bo6b3obo$72b2o
10bobo22bo4bobo57bobo117bobo$71b4o11bo29bo59bo119bo$70bo2bo$68b2o4bo$
68b2o16bo$87bo3$273bobo$273b2obo2$275b2o3$76bo$77bo9$66bo$67bo3$283bob
o$283b2obo2$285b2o3$56bo$57bo9$46bo$47bo3$293bobo$293b2obo2$295b2o3$2b
o33bo41bo$b2o15bo18bo$ob3o15bo59bo$bobo2b2o67bo$2bo3bob2o10b2o$7bobo6b
o3bo2b2o52bo$18b2o2bo2b2o28b2o$11bo$10b2o13bob2o26bob2o$8bobobo13bobo
27bobo$6b2obo$5bob2o$6bobo64b2o$7bo$73b2obo226bobo$74bobo226b2obo2$
305b2o3$336bobo8$329b2o$329b4o$329bo$330bobobo$332b2o2$313bobo$313b2ob
2o2$315b2o8bo$317b2o3b2obo$321bobo2bo$318bo4b2o$319b2o3bo$322bo$321bob
2o$323bobo2$322bo$310b2o12bo$278b2o25b2o3bobo$305bo4bo2bo$278b2obo21bo
2bo4b3o$279bobo23bo7bo$313b3o$313bo$314bo2bo$286bo3b2o22bo$284b2o2bo2b
2o$283b2o31b3o$287bo30bo$283b2ob2o$284bobo$318bobo$317bob2o2$318bo11$
312bo$312b2o$313bo2$312bo$309b2o$308b2o3bo$312bo$308b2ob2o$309bobo2$
317b2o2$317b2obo$318bobo!

User avatar
simsim314
Posts: 1766
Joined: February 10th, 2014, 1:27 pm

Re: 22da (Hexagonal Grid)

Post by simsim314 » June 11th, 2014, 3:18 am

Well it's still doesn't work cleanly:

Code: Select all

x = 162, y = 115, rule = 22da
155b2o$148bo2bo3b2o$147bo2b2o2bo$o29bo29bo29bo29bo29bo2bo$obo27bobo27b
obo27bobo27bobo26bob2o$ob3o25bob3o25bob3o25bob3o25bob3o27bo$2b2o28b2o
28b2o28b2o28b2o6bo23bo$4bo29bo29bo29bo29bo6bo2$137bo19bo2b2o$135b2o23b
2o$135bo23bo$136bo$161bo2$136bo$120bo$121bo9$98bo2b2o7bo$101b2o8bo$
100bo2$102bo2$97bo$99bo9$87bo$89bo9$77bo$79bo2$81bo2b2o$84b2o$83bo2$
85bo$80bo3bo$82bo3$79bobo3bo$84b3o$64bo14bobo$81b2o3bo$65bo4$57bo$58bo
$85bo2b2o$63b2o23b2o$62bo2bo4bo16bo$62bo3b4o2bo$59b2o2bo3bo5bo15bo$60b
o2bo6b4o$60bo2b4o4b3o$61b2ob3obobo$61b3o7bo$70bo$75bo$66bo$67b3obo$68b
2o$69bobo$68b3o$67b2o$74bo$41bo5bo20bo7bo$71bobo$42bo5bo21bo$73bo6$58b
o2$60bo$58b2o$58b2o2bo7$21bo5bo2$22bo5bo!

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: 22da (Hexagonal Grid)

Post by c0b0p0 » June 11th, 2014, 10:02 pm

@simsim314: In the first rake I posted, I used a p60 puffer, which should work cleanly:

Code: Select all

x = 66, y = 66, rule = 22da
55bo$55bo$54bo$52b2o3bo$32bo19b2o$33bo3$62bo2$64b2o$63bo$61b2o$61b2o
11$12bo$13bo7$60bo$61bo7$14bo$13bo2bo$13bo$17b2o$14bo3bo2bo$15bo4bo$
19bo$17b2o2b2o$18bo3bo$4bo19bo$5b2o13bo$4b2o15bo3bo$3bo19b2o15bo$b2obo
4bo31bo$ob2o4bo$bobo6bo$2bo9bo$11bo2$15bo$14b2o$12bobobo$10b2obo$9bob
2o$10bobo$11bo!
Here's a faster glider-producing reaction, which might be able to generate a smaller rake.

Code: Select all

x = 11, y = 23, rule = 22da
2o2$2obo$bobo3$6bo2$8bo$6b2o$6b2o2bo11$4b2o$4bobo!
----------------------
Since simsim314's cleaning table didn't include cleaning reactions for other oscillators, I decided to make a general table for these kind of oscillators. Surprisingly, most of the oscillators can be cleaned with no more than one glider.

Code: Select all

x = 147, y = 25, rule = 22da
142bo2$23b2o68b2o49bo$142b2o$23b2obo27b2o37b2obo45b2o2bo$24bobo67bobo$
54b2obo$29bo25bobo$2bo$31bo111bo$4bo24b2o111bo$2b2o25b2o2bo108b2o$2b2o
2bo$100bobo42bo$61bo38b3o42bo$61b2obo$64bo$64bo5$o26b2o$2bo24bobo$bo!

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: 22da (Hexagonal Grid)

Post by c0b0p0 » June 12th, 2014, 10:34 pm

Here's a cleaning solution for the bothersome cluster of p4s and duoplets.

Code: Select all

x = 1438, y = 1040, rule = 22da
1115bo$1011bobo100bo2bo$1006bo5b2o$998bo6bo$999bo73bo$1075bo2$1114bo$
1015b2o98bo$1015bobo$999bo$1000bo3$1093bo$1095bo5$1035bo$1034bo2bo$
986bo$978bo6bo$979bo3$1034bo$992bo42bo$991bo3$981bo2$982bo30bo$1015bo
6$971bobo$966bo5b2o$958bo6bo$959bo4$975b2o$975bobo$959bo$960bo9$984bo$
984bo$946bo$938bo6bo$940bo4$952bo$951bo$942bo$941bo72bo2bo$1016bo2$
973bo$975bo2$1014bo$1015bo3$931bobo$926bo5b2o$918bo6bo$919bo73bo$995bo
3$935b2o$935bobo$919bo$920bo9$955bo$954bo2bo$906bo$898bo6bo$899bo3$
954bo$912bo42bo$911bo2$902bo2$903bo$902bo30bo$935bo4$892bo2$893bo$886b
o$878bo6bo39bo$879bo45bo4$895b2o$895bobo$879bo$880bo9$904bo$904bo$866b
o$858bo6bo$859bo6$859bo64bo$860bo63bo3$880bo12bo$881bo13bo5$944bo$944b
o$859bo$851b2o6bo$860b2o51bo$915bo$848b2o$850bo6b2o$840bo9bo26bo85bo$
839bo37bo84bo$844bo$843bo$963bo$964bo$933bo$935bo5$864bo$864bo2$966bo$
953bo12bo$955bo$972bo$971bo10bo$982bo$822bo$821bo$823bo3$853bo130b2o$
855bo7$819bo$811b2o6bo$820b2o2$808b2o$810bo6b2o$800bo9bo$799bo$804bo$
803bo9$824bo$824bo13$813bo$815bo2$854bo$855bo6$833bo$835bo15$795bo$
794bo2bo6$794bo$795bo3$774bo$773bo11$763bo$765bo$764bo6$742bo$741bo2bo
5$745bo$747bo$741bo$743bo5$744bo2bo$746bo4$764bo$734bo29bo$733bo8$795b
o$794bo2bo3$753bo$755bo2$794bo$795bo6$773bo$775bo5$715bo$714bo2bo6$
714bo$715bo3$694bo$693bo19$662bo$661bo2bo5$665bo$667bo$661bo$663bo5$
664bo2bo$666bo$692bo$694bo$693bo2$654bo$653bo5$694bo$695bo4$478bo$480b
o$474bo198bo$675bo$475bo2$463bo14b3o$462bo2bo$477bo5bo$463b2o13bo4bo$
481bo$466bo$468bo3$447bo$446bobo$417bo$416b2o29bobo7bo177bo$415bob3o
28b3o5bo2bo174bo2bo$416bobo14bo$417bo14b3o$423bo6bo2bob2o21b3o$423b3o
11b2o20b2o14bo$423bo7bo27b3o12bobo$436b2ob2o34b2o157bo$423bo3bo10bobo
34b3o157bo$421b2obo35bo2bo$420bob2o2bo35bo13b3o$421bobo190bo$422bo190b
o4$494bobo$448b2o45b2o$449bo45b3o$448bo2bo$449bobo44b3o$449bo2bo$452bo
$453bo149bo$452b3o150bo$453bo150bo$450bo63bobo$452bo62b2o$515b3o2$448b
o67b3o$446bo$451bo$447bo3bo$445b2obob3o$444bob2o$445bobo86bobo$446bo
88b2o$455bo79b3o41bo$454b2o$453bob3o78b3o40bo$454bobo110bo$455bo110b2o
$565bob3o$566bobo$567bo$554bobo$555b2o$555b3o2$542bo13b3o45bo$541bo32b
o29bo$573bobo$574b2o$575b3o$574bobo5$624bo$624bo3$593bo$595bo3$643bo$
642bo3$643bo$644bo$613bo$615bo5$555bo$554bo2bo2$646bo$633bo12bo$635bo$
652bo$554bo96bo$555bo6$533bo130b2o$535bo25$504bo$504bo5$714bobo$533b2o
180b2o$534bo180b3o2$462bo71b3o179b3o$461bo73b2o$536bo2$493bo$495bo$
358bo$360bo173bo$354bo180bo2$355bo2$343bo14b3o$342bo2bo$357bo5bo149bo$
343b2o13bo4bo151bo$361bo$346bo$348bo3$327bo$326bobo$297bo$296b2o29bobo
7bo$295bob3o28b3o5bo2bo$296bobo14bo460bobo$297bo14b3o460b2o$303bo6bo2b
ob2o21b3o434b3o$303b3o11b2o20b2o14bo$303bo7bo27b3o12bobo118bo300b3o$
316b2ob2o34b2o117bo2bo$303bo3bo10bobo34b3o$301b2obo35bo2bo$300bob2o2bo
35bo13b3o$301bobo$302bo$474bo$475bo$418b2o$374bobo$328b2o45b2o$329bo
45b3o$328bo2bo$329bobo44b3o74bo$329bo2bo122bo$332bo$333bo$332b3o$333bo
104bo$330bo63bobo44bo$332bo62b2o42bo$395b3o42b3o$439b2obo$328bo67b3o
42b4o$326bo112b2o2bo$331bo111b2o389bobo$327bo3bo503b2o$325b2obob3o502b
3o$324bob2o$325bobo71bo436b3o$326bo73bo$335bo$334b2o$333bob3o$334bobo$
335bo4$424bo$424bo5$380bo493bobo$379bo495b2o$875b3o2$382bo61bo431b3o$
381bo62bo3$413bo$415bo$322bo2$324bo$322b2o$322b2o2bo148bo$474bo2bo3$
433bo$435bo$327b2o$474bo$327b2obo44b2o98bo$328bobo44bobo$359bo$360bo3$
319bo10bo122bo$332bo122bo$321bo$319b2o$319b2o2bo2$395bo$394bo2bo2$322b
2o2$322b2obo$323bobo$394bo$395bo2$534bobo$535b2o$341bo193b3o2$342bo30b
o162b3o$375bo11$994bobo$995b2o$335b2o658b3o$335bobo$319bo676b3o$320bo
6$300b2o3$344bo$344bo5$300bo733bobo$299bo735b2o$1035b3o2$302bo733b3o$
301bo72bo2bo$376bo2$333bo$335bo2$374bo$375bo6$353bo$355bo3$295b2o$295b
obo$279bo$280bo6$260b2o3$315bo$314bo2bo6$314bo$315bo2$694bobo$262bo
432b2o$695b3o$263bo$262bo30bo402b3o$295bo$127bo$127bo$123bo$123bo$124b
o2$127bo$126bo2bo155bo$127bobo155bo$111b4o13b2o2$116bo$255b2o$112bob2o
139bobo$114b2o123bo$96bo20bo122bo$66bo34bo15bo$65b2o28bobo2bobo15b2o$
64bob3o49bo$65bobo29bo21bo2bo$66bo35bo3bo$81b2o23b2o112b2o$80bo2b2o38b
o$80b2o25b2o13b2o$72bo2bo7bob2o35b3o139bo$72b2o10bobo21b2o154bo$70b2ob
3o33bo13b3o$69bob2o$70bobo$71bo$220bo973bobo$219bo975b2o$141bobo1051b
3o$142b2o$142b3o77bo61bo911b3o$221bo62bo$143b3o$97b2o$98bo154bo$97bo2b
o154bo$98bobo$101bo$99bobo59bobo$99b2o61b2o$162b3o139bo$304bo$163b3o2$
96bobo174bo$96bo178bo$96b2o133bo$94b2ob2o136bo$93bob2o84bobo31b2o14bob
2o88bo$94bobo85b2o31bobo104bo$95bo86b3o14bo$104bo95bo33bobo$103b2o78b
3o47b2o2bo85bo$102bob3o217bo$103bobo128b3o2bo53bo$104bo190bo2$180b2o3$
224bo$224bo$186bo$178bo6bo140bo$179bo52b2o2bo76bo12bo$233b2o80bo$236bo
95bo$331bo10bo$192bo43bo105bo$191bo$179bo674bobo$180bo674b2o$855b3o2$
213bo130b2o510b3o$215bo2$160b2o$237bo$237bo2$171bobo$166bo5b2o$158bo6b
o$159bo82b2o2bo$243b2o$246bo2$175b2o20bo48bo$175bobo19bo$159bo$160bo3$
95bo21bo$94b4o15bo$91b2o3bob2o15bo2bo2bo$90b2obo5bo11b2o7bo19b2o$89bob
3o6bo15bo4bo73bo$90bobo18b2obo80b2o$91bo20bobo69bo11bo$100bo83bo$146bo
48bobobo$138bo6bo$95bo43bo112b2o2bo$99bo18bo134b2o$97bo19b2o137bo$95b
2o19bob3o$95b2o2bo17bobo21bo10bo103bo$118bo24bo7bo$139bo64bo$101bo20bo
17bo4b2o57bo$101bo22bo20bobo2$173bo29bobo$175bo28b2obo$147b2o$148bo59b
o$122bo3bo7b2o$121bob3o10bob3o$124b2ob2o5bo2b2obo15bo59bo$91bo20bo9bob
5obo3bob2o2bo2bo14bo59bo$80bo10bo22bo11b2o8bo3b2o2bo$79b2o37bo9bo5bobo
6b2o$78bob3o36bo9b2o2bo2bo4bo51bo68b2o2bo$79bobo36b2o14b2o22b2o35bo22b
2o43b2o$80bo54bo23b3o57b3o44bo$101bo35bo22bo59bo$64bo67bo133bo$63b2o
37bo28bo48bo59bo$62bob3o34bo3bo$63bobo14bo25b2o74bo59bo$64bo14b3o23bob
obo70b2o58b2o$70bo6bo2bob2o28b2o66b2o2bo55b2o2bo$70b3o11b2o20bo3bo3b2o
358b2o958b2o$70bo7bo29bo3bo$83b2ob2o20bo4b2ob2o356bob2o956bob2o$70bo3b
o10bobo27bobo357bobo957bobo$68b2obo$67bob2o2bo$68bobo16bo$69bo16bo3$
272b2o2bo$273b2o$276bo2$276bo2$77bo936bobo$76bo938b2o$1015b3o2$1016b3o
6$67bo$66bo3$282b2o2bo$283b2o$286bo2$286bo2$57bo$56bo9$47bo$46bo3$292b
2o2bo$293b2o$296bo2$296bo2$37bo$2o17bo16bo42bo$5b2o12bo$2obo17bo$bobo
5bo9bo2b2o52bo$6bo2b2o6b3o35bo$10bo6bo2b2obo$19bo5bo29bo$9bo17b2o28b2o
$6b2o17bo2b2o25bo2b2o$5b2o3bo$9bo63bo$5b2ob2o$6bobo66bo$73b2o227b2o2bo
$73b2o2bo225b2o$306bo2$306bo2$337bo7$329bo$328bo$328bo$333bo$329bo2bo$
331b4o$333bo$312b2o$313b2o$316b2o$322bobo$321b4o$317bo7bo$322bo$318bo
2bob3o$324bo$325bo$322bo2$310bo12bo$278bo26bo3bo2bo10bo$304bo4b2ob2o$
280bo$278b2o24bo5bo3bo$278b2o2bo21bobo$312bo$315b2o$290bo$284b2obo2bob
o22bo$286b2o2bobo22b3o$286bo5bo25bo$285bo32b2o$283b2o3bo$283b2o$317bo$
321bo$317b2obo12$311b3o2$312b3o2$309bo$312b2o$311b2o$310bo2bo$308b2o3b
o$308b2o$317bo2$319bo$317b2o$317b2o2bo!

wildmyron
Posts: 1398
Joined: August 9th, 2013, 12:45 am

Re: 22da (Hexagonal Grid)

Post by wildmyron » June 13th, 2014, 1:11 am

c0b0p0 wrote:@simsim314: In the first rake I posted, I used a p60 puffer, which should work cleanly:

Code: Select all

x = 66, y = 66, rule = 22da
55bo$55bo$54bo$52b2o3bo$32bo19b2o$33bo3$62bo2$64b2o$63bo$61b2o$61b2o
11$12bo$13bo7$60bo$61bo7$14bo$13bo2bo$13bo$17b2o$14bo3bo2bo$15bo4bo$
19bo$17b2o2b2o$18bo3bo$4bo19bo$5b2o13bo$4b2o15bo3bo$3bo19b2o15bo$b2obo
4bo31bo$ob2o4bo$bobo6bo$2bo9bo$11bo2$15bo$14b2o$12bobobo$10b2obo$9bob
2o$10bobo$11bo!
Here's a p60 backrake using 5 gliders in addition to the p60 double GEP:

Code: Select all

x = 39, y = 79, rule = 22da
22b2o2$22b2obo$23bobo16$26b2o2$26b2obo$27bobo7$2bo$b2o$ob3o$bobo$2bo$
23b2o2$23b2obo$24bobo21$6b3o2$7b3o2$4bo$7b2o$6b2o$5bo2bo$3b2o3bo$3b2o
3$19bo$13b2obo2bobo$15b2o2bobo$15bo5bo$14bo21bo$12b2o3bo17b2o$12b2o20b
ob3o$35bobo$36bo!
It uses a single glider to clean up one half of the puffer but I can't get the timing right to synthesize it. But here is a 14 glider synthesis of a 7 glider variant:

Code: Select all

x = 82, y = 105, rule = 22da
47b2o2$47b2obo$48bobo16$51b2o2$51b2obo$52bobo9$39bo$38b2o$37bob3o$38bo
bo7b2o$39bo$48b2obo$49bobo2$17bo$16b2o$15bob3o$16bobo$17bo8$69b2o2$69b
2obo$46b2o22bobo2$46b2obo$47bobo3$79bo$78b2o$77bob3o$71bo6bobo$70b2o7b
o$69bob3o$70bobo$71bo6$18bo2$20bo$18b2o$18b2o2bo4$2bo$bobo23bo$3obo$2b
2o25bo$2bo24b2o34bo$27b2o2bo30b2o$61bob3o$62bobo$63bo11$21bo$20bobo$
19b3obo$21b2o$21bo!
A different synthesis for the two GEPs may allow synthesis of the first variant.
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: 22da (Hexagonal Grid)

Post by c0b0p0 » June 14th, 2014, 9:04 pm

@wildmyron: Unfortunately, that does not allow for a smaller sawtooth, since it takes up far more gliders than needed to synthesize a backrake.
c0b0p0 wrote:The mythical efficent way of producing rakes (O(N) cells for a period of O(2^N)) has been FOUND!!!
Actually, the O(N) is O(1)!

Code: Select all

x = 4246, y = 2787, rule = 22da
2051bo$1947bobo100bo2bo$1942bo5b2o$1934bo6bo$1935bo73bo$2011bo2$2050bo
$1951b2o98bo$1951bobo$1935bo$1936bo3$2029bo$2031bo5$1971bo$1970bo2bo$
1922bo$1914bo6bo$1915bo3$1970bo$1928bo42bo$1927bo3$1917bo2$1918bo30bo$
1951bo6$1907bobo$1902bo5b2o$1894bo6bo$1895bo4$1911b2o$1911bobo$1895bo$
1896bo9$1920bo$1920bo$1882bo$1874bo6bo$1876bo4$1888bo$1887bo$1878bo$
1877bo72bo2bo$1952bo2$1909bo$1911bo2$1950bo$1951bo3$1867bobo$1862bo5b
2o$1854bo6bo$1855bo73bo$1931bo3$1871b2o$1871bobo$1855bo$1856bo9$1891bo
$1890bo2bo$1842bo$1834bo6bo$1835bo3$1890bo$1848bo42bo$1847bo2$1838bo2$
1839bo$1838bo30bo$1871bo4$1828bo2$1829bo$1822bo$1814bo6bo39bo$1815bo
45bo4$1831b2o$1831bobo$1815bo$1816bo9$1840bo$1840bo$1802bo$1794bo6bo$
1795bo6$1795bo64bo$1796bo63bo3$1816bo12bo$1817bo13bo5$1880bo$1880bo$
1795bo$1787b2o6bo$1796b2o51bo$1851bo$1784b2o$1786bo6b2o$1776bo9bo26bo
85bo$1775bo37bo84bo$1780bo$1779bo$1899bo$1900bo$1869bo$1871bo5$1800bo$
1800bo2$1902bo$1889bo12bo$1891bo$1908bo$1907bo10bo$1918bo$1758bo$1757b
o$1759bo3$1789bo130b2o$1791bo7$1755bo$1747b2o6bo$1756b2o2$1744b2o$
1746bo6b2o$1736bo9bo$1735bo$1740bo$1739bo9$1760bo$1760bo13$1749bo$
1751bo2$1790bo$1791bo6$1769bo$1771bo15$1731bo$1730bo2bo6$1730bo$1731bo
3$1710bo$1709bo11$1699bo$1701bo$1700bo6$1678bo$1677bo2bo5$1681bo$1683b
o$1677bo$1679bo5$1680bo2bo$1682bo4$1700bo$1670bo29bo$1669bo8$1731bo$
1730bo2bo3$1689bo$1691bo2$1730bo$1731bo6$1709bo$1711bo5$1651bo$1650bo
2bo6$1650bo$1651bo3$1630bo$1629bo19$1598bo$1597bo2bo5$1601bo$1603bo$
1597bo$1599bo5$1600bo2bo$1602bo$1628bo$1630bo$1629bo2$1590bo$1589bo5$
1630bo$1631bo6$1609bo$1611bo15$1571bo$1570bo2bo6$1570bo$1571bo3$1550bo
$1549bo11$1539bo$1541bo$1540bo25$1540bo$1510bo29bo$1509bo8$1560bo$
1560bo3$1529bo$1531bo3$1579bo$1578bo3$1579bo$1580bo$1549bo$1551bo5$
1491bo$1490bo2bo2$1582bo$1569bo12bo$1571bo$1588bo$1490bo96bo$1491bo3$
1470bo$1469bo2$1600b2o33$1468bo$1470bo$1469bo2$1430bo$1429bo5$1470bo$
1471bo6$1449bo$1451bo15$1411bo$1410bo2bo6$1410bo$1411bo3$1390bo$1389bo
11$1379bo$1381bo$1380bo25$1380bo$1350bo29bo$1349bo8$1411bo$1410bo2bo3$
1369bo$1371bo2$1410bo$1411bo6$1389bo$1391bo5$1331bo$1330bo2bo6$1330bo$
1331bo3$1310bo$1309bo35$1308bo$1310bo$1309bo2$1270bo$1269bo5$1310bo$
1311bo6$1289bo$1291bo15$1251bo$1250bo2bo6$1250bo$1251bo3$1230bo$1229bo
11$1219bo$1221bo$1220bo25$1220bo$1190bo29bo$1189bo8$1240bo$1240bo3$
1209bo$1211bo3$1259bo$1258bo3$1259bo$1260bo$1229bo$1231bo5$1171bo$
1170bo2bo2$1262bo$1249bo12bo$1251bo$1268bo$1170bo96bo$1171bo3$1150bo$
1149bo2$1280b2o33$1148bo$1150bo$1149bo2$1110bo$1109bo5$1150bo$1151bo6$
1129bo$1131bo15$1091bo$1090bo2bo6$1090bo$1091bo3$1070bo$1069bo11$1059b
o$1061bo$1060bo25$1060bo$1030bo29bo$1029bo8$1091bo$1090bo2bo3$1049bo$
1051bo2$1090bo$1091bo6$1069bo$1071bo5$1011bo$1010bo2bo6$1010bo$1011bo
3$990bo$989bo35$988bo$990bo$989bo2$950bo$949bo5$990bo$991bo6$969bo$
971bo15$931bo$930bo2bo6$930bo$931bo3$910bo$909bo10$1054bo$899bo154b2o$
901bo153bo$900bo$1054bobobo23$958bo$900bo57b2o$870bo29bo58bo$869bo184b
o$958bobobo91b2o$1055bo2$1054bobobo4$920bo$920bo3$889bo$891bo3$939bo$
938bo3$939bo$940bo$909bo$911bo4$958bo$851bo106b2o$850bo2bo105bo$1054bo
$942bo15bobobo91b2o$929bo12bo112bo$931bo$948bo105bobobo$850bo96bo$851b
o3$830bo$829bo257bo$1086bo6$1090b2o$1090bo$1093bo$1077bo13bo$1076bo12b
2obo$1088b2o3bo$1092b2o$1088b2ob2o$1089bobo2$958bo138b2o$958b2o$959bo
137b2obo$1054bo12bo30bobo$958bobobo91b2o10bo$1055bo2$1054bobobo3$1055b
o3$1057bo$1056bo3$1058bobobo$828bo230bo2bo$830bo227b2o3b2o$829bo235bo
2$790bo$789bo5$830bo$831bo$958bo$958b2o92b2o$959bo92bo$1055bo$958bobob
o90bo$809bo241b2obo$811bo238b2o3bo$1054b2o$1050b2ob2o$1051bobo2$1059b
2o2$1059b2obo$1060bobo7$771bo$770bo2bo6$770bo$771bo$958bo$958b2o$750bo
208bo$749bo$958bobobo6$991bo$990bo3$739bo$741bo$740bo$994b2o$994bo$
997bo$981bo13bo$980bo12b2obo$992b2o3bo$996b2o$992b2ob2o$993bobo2$1001b
2o2$1001b2obo$958bo12bo30bobo$958b2o10bo$959bo2$958bobobo3$959bo3$961b
o$740bo219bo$710bo29bo$709bo$962bobobo$963bo2bo$962b2o3b2o$969bo4$771b
o$770bo2bo3$729bo$731bo2$770bo185b2o$771bo184bo$959bo$957bo$955b2obo$
954b2o3bo$958b2o$749bo204b2ob2o$751bo203bobo2$963b2o2$963b2obo$691bo
272bobo$690bo2bo6$690bo$691bo3$670bo$669bo23$482bo2bo2$480bo$485bo$
484bo$485bo3$473b2o$473bo$473bo2bo$474b2o$475bo192bo$670bo$669bo$464bo
$461bo3bo164bo$460bo3bo2b2o160bo$457b2o5b2obo$461bo$417bo24bo19bo3bo$
416b2o48bo$415bob3o20bo2bo20bo2bo202bo$416bobo22b2o4bobo13bo3bo3bo199b
o$417bo29b3o17b2o$467b3o$424bo23bob2o$425b2o23b3o15b3o$424b2o$423bo4b
2o24b3o192bo$421b2obo4bo20bo4b2o194bo$420bob2o4bobo25bo$421bobo$422bo
63bobo$487b2o$455bo31b3o$454bo2bo$454bo33b3o$455bo5$506bobo$507b2o$
507b3o101bo$610bo2bo$508b3o$446bo$447b2o$446bobo2$450bo159bo$449b2o75b
obo82bo$447bobobo75b2o$445b2obo78b3o$444bob2o142bo$445bobo80b3o58bo$
446bo$455bo$454b2o$453bob3o$454bobo110bo$455bo90bobo17b2o$547b2o16bob
3o$547b3o16bobo$567bo$548b3o$579bo$581bo$580bo15$560bo$560bo9$518bo61b
o$517bo62bo3$549bo$551bo3$626bobo$627b2o$600bo26b3o$600bo$628b3o2$569b
o$571bo3$619bo$618bo3$619bo$620bo$589bo$591bo3$666bobo$667b2o$531bo
135b3o$530bo2bo$668b3o$622bo$609bo12bo$611bo$628bo$530bo96bo10bo$531bo
106bo6$509bo$511bo13$726bobo$362bo2bo361b2o$727b3o$360bo$365bo362b3o$
364bo$365bo3$353b2o$353bo$353bo2bo$354b2o124bo$355bo124bo3$344bo$341bo
3bo$340bo3bo2b2o$337b2o5b2obo$341bo168bo$297bo24bo19bo3bo163b2o$296b2o
48bo91bo71b3o$295bob3o20bo2bo20bo2bo89bo$296bobo22b2o4bobo13bo3bo3bo
160bo$297bo29b3o17b2o163b2o$347b3o119bo$304bo23bob2o139bo$305b2o23b3o
15b3o$304b2o204bo$303bo4b2o24b3o174bo274bobo$301b2obo4bo20bo4b2o450b2o
$300bob2o4bobo25bo450b3o$301bobo$302bo63bobo419b3o$367b2o$335bo31b3o
119bo$334bo2bo153bo$334bo33b3o$335bo5$386bobo$387b2o$387b3o2$388b3o$
326bo$327b2o497bobo$326bobo498b2o$451bo375b3o$330bo119bo2bo$329b2o75bo
bo419b3o$327bobobo75b2o$325b2obo78b3o$324bob2o$325bobo80b3o$326bo123bo
$335bo115bo$334b2o$333bob3o$334bobo61bo$335bo$399bo$398bo30bo$431bo8$
421bo$421bo4$391b2o$391bobo$375bo$376bo$322bo2$324bo$322b2o$322b2o2bo
4$400bo$400bo$327b2o157bobo$487b2o$327b2obo156b3o$328bobo$356bo131b3o$
355bo3$319bo38bo61bo$357bo62bo$321bo$319b2o$319b2o2bo65bo$391bo3$946bo
bo$322b2o623b2o$451bo495b3o$322b2obo124bo2bo$323bobo622b3o2$409bo$411b
o2$450bo$351b2o98bo$351bobo$335bo$336bo3$429bo$431bo2$316b2o$986bobo$
987b2o$371bo615b3o$370bo2bo$988b3o5$370bo$371bo4$317bo2$318bo30bo$351b
o13$311b2o733bobo$311bobo733b2o$295bo751b3o$296bo$1048b3o5$276b2o3$
320bo$320bo$646bobo$647b2o$647b3o2$276bo371b3o$275bo3$278bo$277bo72bo
2bo$352bo2$309bo$311bo2$350bo$351bo754bobo$1107b2o$1107b3o2$1108b3o2$
329bo$331bo3$132bo138b2o$132bo138bobo$128bobo124bo$131bo124bo$129b3o$
131bo$120bo$122bo$122b2o$121bo114b2o$122bobo1021bobo$122b2o1023b2o$
291bo855b3o$290bo2bo$1148b3o$108bo3bo$114bo$88bo19b3obo$105bo9bo$88bo
19bob2o4bo173bo$66bo23bo15bo7bo176bo$65b2o12bo33b2o$64bob3o22bo21bobo$
65bobo43bo6bo119bo$66bo21bo2bo20bo2bo2bo$90bo4b2obo16b2o122bo$73bo20bo
18bo2bo2bo118bo30bo$71bo26b2o15bo2bo152bo$76bo18bo6bo$72bo3bo25bo$70b
2obob3o20bobob2o$69bob2o27bo$70bobo26bo33bobo$71bo62b2o$134b3o$261bo$
102bobo30b3o123bo$101bo4bo2$102bo4bobo$231b2o$231bobo$153bobo59bo$154b
2o60bo$154b3o2$155b3o2$105bo$196b2o$96bo$96b3o$96bo76bobo64bo$174b2o
64bo$96bo3bo73b3o629bobo$94b2obo709b2o$93bob2o2bo75b3o629b3o$94bobo$
95bo712b3o$104bo$103b2o$102bob3o$103bobo89bo64bo$104bo91bo63bo$368bo2$
229bo140bo$231bo136b2o$368b2o2bo$176b2o$378bo$377b2o$280bo95bob3o$187b
obo90bo96bobo$182bo5b2o188bo$174bo6bo$175bo73bo$251bo3$191b2o20bo22b2o
2bo58bo$191bobo19bo23b2o59bo$175bo64bo$176bo$240bo58bo$300bo$269bo$
271bo2$156b2o$1306bobo$1307b2o$200bo1106b3o$200bo$162bo1145b3o$154bo6b
o140bo$155bo133bo12bo$291bo$308bo$307bo10bo$168bo77b2o2bo67bo$167bo79b
2o$155bo94bo$156bo$91bo158bo$90b2o19b2o$89bob3o95bo130b2o$90bobo18b2ob
o76bo$91bo20bobo$136b2o$213bo$98bo2bo17bob2o90bo$95bobo2bo17bo4bo$99b
2o17b3o$97bo3bo15b2o23bo$95b2o19bob3o13bo6bo$95b2o2bo17bobo15bo$118bo
2$135bo$136bobo9bo24bo82b2o2bo1105bobo$147bo25bo83b2o1108b2o$137bobo
120bo1106b3o$97bo20bo$97bo22bo15bo123bo1107b3o$137b3o$137bobo$137bo4bo
$138b3o$139bob2obo$80bo28bo34bo$79b2o27bo26bo5bo$78bob3o26b2o23bo2bo5b
o$79bobo5bo21b2o9bo17bo6bo$80bo6bo21bo10b2o6b2o2b3o3bo827bobo$110bo3bo
5b3obo6b3o2bo830b2o$64bo50bo15bobo3bo829b3o$63b2o30bo18b2o3bobo10bo2bo
2bo71bo29bo$62bob3o29b3o21b2o4b2o2bo2b2o2bo14b2o814b3o$63bobo30bo21bo
3bo2bo2bo5bo17b3o57bo29bo$64bo56bob2o3b2o20b2o2bo55b2o28b2o24b2o2bo$
88bo3bo5bo2bo19bo28b2o8b2o48b2o2bo25b2o2bo22b2o$71bo16b2o3b2o2bo2bob2o
16bo3bo37b2o106bo131b2o958b2o958b2o958b2o958b2o$72b2o14b3o2bob2o3bo58b
2o$71b2o25bob3ob2o17bo37b2ob2o104bo131bob2o956bob2o956bob2o956bob2o
956bob2o$70bo4b2o19bo6bobo57bobo237bobo957bobo957bobo957bobo957bobo$
68b2obo4bo$67bob2o4bobo$68bobo$69bo$1426bobo$1427b2o$83bo1343b3o$82bo$
1428b3o6$276b2o2bo$277b2o$73bo206bo$72bo$280bo6$1466bobo$1467b2o$63bo
1403b3o$62bo$1468b3o6$286b2o2bo$287b2o$53bo236bo$52bo$290bo8$43bo$42bo
4$28bo2$2o24bo$296b2o2bo$2obo293b2o$bobo29bo266bo$32bo10bo29b2o$11b2o
59bobo225bo$11b3o29bo28b2obo$12bo2b2o28b2o27bo$6b2o8b2o25bo2b2o$5b2o$
9b2o$5b2ob2o65bo$6bobo66bo$73b2o$73b2o2bo$1126bobo$1127b2o$1127b3o2$
1128b3o2$306b2o2bo25bo$307b2o26bobo$310bo28bo$334bo$310bo23bo$337b2obo
$338bo4$1586bobo$1587b2o$329bo1257b3o$328bo$1588b3o$330b3o$310bob2o$
311bo3bo$310b3o2bo15bobo$316bo2bo$312bo4b3obo$313bob3o4bo$315bo2bo$
319bo2b3o$319bo3bo$278bo42b2obo$288bo10b2o$280bo15bob2o2bo15bo$278b2o
9bo5bob2o3bo16bo$278b2o2bo5b2o6bobo24b2o$287bob2o7bo2b2o19bo2bo1300bob
o$288bo11bob3o21bo1300b2o$288bo2bo6bobo6b2o17bo1300b3o$290bo15b3obo$
286bo21bob2o12bo1303b3o$286bo23bob2o$285bo$283b2o3bo23b3o$283b2o28b2o$
313bo2$315bo$315bo$315b2ob2o$316bo$314b2o4bo$319b2o$314bob4o$318bo$
317bobo$318bo4$314bo$313bo2bo$316b3o$309bo4b2obo2bo$316bo$311b2o$310bo
1375bobo$308b2o1377b2o$308b2o1377b3o$317bo$1688b3o$319bo$317b2o$317b2o
2bo7$1286bobo$1287b2o$1287b3o2$1288b3o12$1746bobo$1747b2o$1747b3o2$
1748b3o16$1786bobo$1787b2o$1787b3o2$1788b3o40$1446bobo$1447b2o$1447b3o
2$1448b3o32$1946bobo$1947b2o$1947b3o2$1948b3o26$2006bobo$2007b2o$2007b
3o2$2008b3o10$1606bobo$1607b2o$1607b3o2$1608b3o12$2066bobo$2067b2o$
2067b3o2$2068b3o16$2106bobo$2107b2o$2107b3o2$2108b3o40$1766bobo$1767b
2o$1767b3o2$1768b3o12$2226bobo$2227b2o$2227b3o2$2228b3o16$2266bobo$
2267b2o$2267b3o2$2268b3o26$2326bobo$2327b2o$2327b3o2$2328b3o10$1926bob
o$1927b2o$1927b3o2$1928b3o12$2386bobo$2387b2o$2387b3o2$2388b3o16$2426b
obo$2427b2o$2427b3o2$2428b3o40$2086bobo$2087b2o$2087b3o2$2088b3o32$
2586bobo$2587b2o$2587b3o2$2588b3o26$2646bobo$2647b2o$2647b3o2$2648b3o
10$2246bobo$2247b2o$2247b3o2$2248b3o12$2706bobo$2707b2o$2707b3o2$2708b
3o16$2746bobo$2747b2o$2747b3o2$2748b3o40$2406bobo$2407b2o$2407b3o2$
2408b3o12$2866bobo$2867b2o$2867b3o2$2868b3o16$2906bobo$2907b2o$2907b3o
2$2908b3o40$2566bobo$2567b2o$2567b3o2$2568b3o32$3066bobo$3067b2o$3067b
3o2$3068b3o40$2726bobo$2727b2o$2727b3o2$2728b3o76$2886bobo$2887b2o$
2887b3o2$2888b3o!

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: 22da (Hexagonal Grid)

Post by c0b0p0 » June 15th, 2014, 9:59 pm

The O(1) pattern has now been explicitly constructed.

Code: Select all

x = 2877, y = 3365, rule = 22da
1950bo$1950b2o$1951bo2$1950bobobo26$1950bo$1950b2o$1951bo2$1950bobobo
26$1950bo$1950b2o$1951bo2$1950bobobo15$2144bo$2144b2o$2145bo2$2144bobo
bo7$1950bo$1950b2o$1951bo2$1950bobobo15$2144bo$2144b2o$2145bo2$2144bob
obo7$1950bo$1950b2o$1951bo2$1950bobobo15$2144bo$2144b2o$2145bo2$2144bo
bobo26$2144bo$2144b2o$2145bo2$2144bobobo26$2144bo$2144b2o$2145bo2$
2144bobobo7$1950bo$1950b2o$1951bo2$1950bobobo15$2144bo$2144b2o$2145bo
2$2144bobobo7$1950bo$1950b2o$1951bo2$1950bobobo26$1950bo$1950b2o$1951b
o2$1950bobobo26$1950bo$1950b2o$1951bo2$1950bobobo15$2144bo$2144b2o$
2145bo2$2144bobobo7$1950bo$1950b2o$1951bo2$1950bobobo15$2144bo$2144b2o
$2145bo2$2144bobobo26$2144bo$2144b2o$2145bo2$2144bobobo7$1950bo$1950b
2o$1951bo2$1950bobobo15$2144bo$2144b2o$2145bo2$2144bobobo7$1950bo$
1950b2o$1951bo2$1950bobobo15$2144bo$2144b2o$2145bo2$2144bobobo26$2144b
o$2144b2o$2145bo2$2144bobobo7$1950bo$1950b2o$1951bo2$1950bobobo19$
2871bo$2870bo2$2871bo3$2852bo$1950bo903bo9bo6bo$1950b2o914bo3bo$1951bo
903bo$2875b2o$1950bobobo4$2868bo$2870bo6$2858bo2$2859bo13$1950bo$1950b
2o$1951bo2$1950bobobo6$2264bo$2264b2o$2265bo2$2264bobobo16$1950bo$
1950b2o$1951bo2$1950bobobo6$2264bo$2264b2o$2265bo$2791bo$2264bobobo
521bo2$2791bo4$2784bo6bo$2790bo$2785bo$2788b2o5b2o3$2781b2o14$2264bo$
2264b2o$2265bo2$2264bobobo5$2144bo$2144b2o$2145bo2$2144bobobo17$2264bo
$2264b2o$2265bo2$2264bobobo2$1447bo$1447b2o$1448bo$2144bo$1447bobobo
692b2o$2145bo624bo$2771bo$2144bobobo7$1950bo$1950b2o$1951bo$2711bo$
1950bobobo755bo2$2711bo4$2264bo446bo$2264b2o444bo$2265bo$2715b2o$1321b
o942bobobo431bo$1321b2o1377bo$1322bo124bo$1447b2o$1321bobobo122bo$
2144bo553bo$1447bobobo692b2o551bo$2145bo2$2144bobobo5$2681bo$2681bo$
1950bo$1950b2o$1951bo$2681bo$1950bobobo727bo6$2264bo$2264b2o$1240bo
1024bo$1240b2o$1241bo79bo942bobobo$1321b2o$1240bobobo77bo124bo$1447b2o
$1321bobobo122bo$2144bo$1447bobobo692b2o$2145bo2$2144bobobo7$1950bo$
1950b2o$1951bo$2711bo$1950bobobo755bo2$2711bo4$2704bo6bo$2710bo$1240bo
1464bo$1240b2o1466b2o5b2o$1241bo79bo$1321b2o$1240bobobo77bo124bo1253b
2o$1447b2o$1321bobobo122bo2$1447bobobo3$2631bo$2630bo2$2631bo4$1950bo
673bo6bo$1950b2o678bo$1951bo673bo$2628b2o5b2o$1950bobobo2$2621b2o6$
1240bo$1240b2o$1241bo2$1240bobobo14$1950bo$1950b2o$1951bo2$1950bobobo
8$1240bo$1240b2o$1241bo2$1240bobobo3$2144bo$2144b2o$2145bo2$2144bobobo
7$1950bo$1950b2o658bo$1951bo659bo2$1950bobobo8$1240bo$1240b2o1309bo$
1241bo1308bo2$1240bobobo202bo1103bo$1447b2o$1448bo$2144bo$1447bobobo
692b2o398bo6bo$2145bo400bo3bo2$2144bobobo406b2o17$2264bo$2264b2o$2265b
o2$2264bobobo2$1447bo$1447b2o$1448bo$2144bo$1447bobobo692b2o$2145bo2$
2144bobobo7$1950bo$1950b2o$1951bo2$1950bobobo6$2264bo$2264b2o$1240bo
1024bo$1240b2o$1241bo79bo942bobobo$1321b2o$1240bobobo77bo124bo$1447b2o
$1321bobobo122bo$2144bo$1447bobobo692b2o$2145bo2$2144bobobo6$1054bo$
1054b2o894bo$1055bo894b2o$1951bo$1054bobobo1412bo$1950bobobo515bo2$
2471bo4$2264bo$2264b2o$1240bo1024bo$1240b2o$1241bo79bo942bobobo$1321b
2o$1240bobobo77bo124bo$1447b2o$1321bobobo122bo$2144bo$1447bobobo692b2o
$2145bo2$2144bobobo6$1054bo$1054b2o$1055bo2$1054bobobo7$2264bo$2264b2o
$2265bo2$1321bo942bobobo$1321b2o$1322bo124bo$1447b2o$1321bobobo122bo$
2144bo$1447bobobo692b2o$2145bo2$2144bobobo3$958bo$958b2o$959bo2$958bob
obo987bo$1950b2o$1951bo2$1950bobobo8$1240bo$1240b2o$1241bo79bo$1321b2o
$1240bobobo77bo124bo$1447b2o$1321bobobo122bo2$1447bobobo9$1054bo$1054b
2o894bo$1055bo894b2o$1150bo800bo$1054bobobo91b2o$1151bo798bobobo$2372b
o$1150bobobo1216b2o$2370bob3o$2371bobo$2372bo$2264bo$2264b2o110bo$
1240bo1024bo111bo$1240b2o$1241bo1022bobobo110bo2$1240bobobo1136bo$
2379b2o$2379b2o2bo8$958bo$958b2o$959bo$1054bo$958bobobo91b2o894bo$
1055bo894b2o$1150bo800bo$1054bobobo91b2o$1151bo798bobobo2$1150bobobo4$
2264bo$2264b2o$1240bo1024bo$1240b2o$1241bo1022bobobo2$1240bobobo3$
2144bo$2144b2o$2145bo2$2144bobobo7$1950bo$1950b2o$1951bo2$1950bobobo
378bo2$2335bo$2333b2o$2294bo38b2o2bo$2293b2o$2264bo27bob3o45bo$2264b2o
27bobo45b2o$1240bo1024bo28bo45bob3o$1240b2o1099bobo$1241bo79bo942bobob
o73bo$1321b2o975bo$1240bobobo77bo$2300bo$1321bobobo972b2o12bo$2144bo
153b2o2bo$2144b2o167bo$2145bo2$2144bobobo6$1054bo$1054b2o894bo$1055bo
894b2o$1150bo800bo$1054bobobo91b2o$1151bo798bobobo2$1150bobobo$2309bo$
2308b2o$2307bob3o$2264bo43bobo$2264b2o43bo$2265bo$2315b2o$2264bobobo$
2315b2obo$2316bobo3$2144bo$2144b2o$2145bo2$2144bobobo6$1054bo$1054b2o$
1055bo$1150bo$1054bobobo91b2o$1151bo2$1150bobobo4$2264bo$2264b2o$2265b
o2$2264bobobo2$1447bo$1447b2o$1448bo$2144bo$1447bobobo692b2o$2145bo2$
2144bobobo6$1054bo$1054b2o$1055bo2$1054bobobo1172bo$2230bo2$2231bo3$
2194b2o$2264bo$2194b2obo66b2o$2195bobo67bo2$1321bo942bobobo$1321b2o$
1322bo124bo$1447b2o$1321bobobo122bo$2144bo$1447bobobo692b2o$2145bo2$
2144bobobo5$2301bo$1054bo$1054b2o894bo350b3o$1055bo894b2o349b3o$1951bo
352bo$1054bobobo1243bobo$1950bobobo348b2o$2303b2o2bo$2304b3o$2305bo$
2291bo$2290bo$2264bo$2264b2o34bobo$1240bo1024bo34bo$1240b2o1057b2o2bo$
1241bo79bo942bobobo29b2o3bo$1321b2o979b2o$1240bobobo77bo124bo850b2ob2o
$1447b2o850bobo$1321bobobo122bo832bo$2144bo135bo26b2o$1447bobobo692b2o
$2145bo161b2obo$2308bobo$2144bobobo3$958bo$958b2o$959bo1311bo$2270bo$
958bobobo987bo$1950b2o$1150bo800bo$1150b2o$1151bo798bobobo2$1150bobobo
4$2264bo$2264b2o$1240bo1024bo$1240b2o$1241bo79bo942bobo$1321b2o942b2o$
1240bobobo77bo124bo817b2o2bo$1447b2o817b3o$1321bobobo122bo818bo2$1447b
obobo2$2262bobo$2151bo110bo$2150bo110b2o2bo$2260b2o3bo$2151bo112b2o$
2260b2ob2o$2261bobo$1054bo$1054b2o894bo318b2o$1055bo894b2o$1951bo317b
2obo$1054bobobo1211bobo$1950bobobo2$2141b2o6$1240bo$1240b2o$1241bo2$
1240bobobo3$2144bo$2144b2o$2145bo2$2144bobobo55bo2$2206bo$958bo1245b2o
$958b2o1244b2o2bo$959bo1254b2o2$958bobobo987bo263b2obo$1950b2o263bobo$
1150bo800bo$1150b2o$1151bo798bobobo2$1150bobobo6$1240bo$1240b2o$1241bo
2$1240bobobo3$2144bo$2144b2o$2145bo2$2144bobobo7$1950bo$1950b2o$1951bo
2$1950bobobo3$2181bo2$2181b3o$2181b3o$2184bo$1240bo941bobo$1240b2o829b
o111b2o$1241bo828bo112b2o2bo$2184b3o$1240bobobo202bo623bo113bo$1447b2o
722bo$1448bo721bo$2144bo$1447bobobo619bo72b2o34bobo$2070bo74bo34bo$
2179b2o2bo$2144bobobo29b2o3bo$2060bo121b2o$2060bo117b2ob2o$2179bobo$
2161bo$2160bo26b2o$1054bo998bo$1054b2o998bo132b2obo$1055bo1001bo130bob
o$1150bo907bo$1054bobobo91b2o$1151bo2$1150bobobo$2151bo$2041bo108bo$
2041bo4$2041bo$1321bo720bo$1321b2o$1322bo124bo$1447b2o$1321bobobo122bo
$2144bo$1447bobobo692b2o$2145bo2$2144bobo$2145b2o$2145b2o2bo$958bo
1187b3o$958b2o1187bo$959bo$1054bo$958bobobo91b2o894bo$1055bo894b2o190b
obo$1150bo800bo190bo$1054bobobo91b2o989b2o2bo$1151bo798bobobo185b2o3bo
$2144b2o$1150bobobo890bo94b2ob2o$2141bobo$2047bo$2045b2o102b2o$2045b2o
2bo$2149b2obo$1240bo909bobo$1240b2o829bo$1241bo79bo748bo$1321b2o727b2o
$1240bobobo77bo124bo623bo$1447b2o601b2obo$1321bobobo122bo602bobo2$
1447bobobo619bo$2070bo2$2075b2o3$2061b2o3$1054bo$1054b2o894bo$1055bo
894b2o$1951bo$1054bobobo932bo$1950bobobo35bo2$1991bo4$1991bo$1990bo$
1240bo$1240b2o$1241bo79bo$1321b2o$1240bobobo77bo124bo533b2o$1447b2o$
1321bobobo122bo2$1447bobobo9$1054bo$1054b2o$1055bo$1150bo$1054bobobo
91b2o$1151bo2$1150bobobo8$1321bo$1321b2o$1322bo124bo$1447b2o$1321bobob
o122bo2$1447bobobo6$958bo$958b2o$959bo2$958bobobo987bo$1950b2o$1951bo
2$1950bobobo8$1240bo$1240b2o$1241bo79bo651bo$1321b2o650bo$1240bobobo
77bo124bo$1447b2o$1321bobobo122bo2$1447bobobo3$1911bo$1910bo2$1911bo3$
1054bo$1054b2o848bo6bo38bo$1055bo850bo3bo39b2o$1951bo$1054bobobo$1950b
obobo4$1908bo$1910bo3$1240bo$1240b2o$1241bo$1898bo$1240bobobo$1899bo9$
958bo$958b2o$959bo$1054bo$958bobobo91b2o894bo$1055bo894b2o$1150bo800bo
$1054bobobo91b2o$1151bo798bobobo2$1150bobobo6$1240bo$1240b2o$1241bo2$
1240bobobo14$1950bo$1950b2o$1951bo2$1950bobobo8$1240bo$1240b2o589bo$
1241bo79bo508bo$1321b2o$1240bobobo77bo508bo2$1321bobobo661bo2$1824bo6b
o155b3o$1830bo156b3o$1825bo164bo$1828b2o158bobo$1989b2o$1989b2o2bo$
1821b2o167b3o$1991bo$1977bo$1054bo921bo$1054b2o894bo$1055bo894b2o34bob
o$1150bo800bo34bo$1054bobobo91b2o833b2o2bo$1151bo798bobobo29b2o3bo$
1988b2o$1150bobobo829b2ob2o$1985bobo$1967bo$1966bo26b2o2$1993b2obo$
1994bobo6$1957bo$1956bo10$1054bo$1054b2o894bo$1055bo894b2o$1150bo800bo
$1054bobobo91b2o$1151bo798bobo$1951b2o$1150bobobo796b2o2bo$1952b3o$
1953bo4$1948bobo$1948bo$1947b2o2bo$1946b2o3bo$1447bo502b2o$1447b2o497b
2ob2o$1448bo498bobo2$1447bobobo503b2o$1810bo$1811bo143b2obo$1956bobo6$
1054bo$1054b2o$1055bo2$1054bobobo692bo$1750bo2$1751bo4$1751bo$1750bo3$
1321bo418bo$1321b2o417bo$1322bo124bo$1447b2o$1321bobobo122bo$1738bo$
1447bobobo285bo8$1721bo$1054bo666bo$1054b2o$1055bo2$1054bobobo662bo$
1722bo4$1680bo2$1682bo$1680b2o$1240bo439b2o2bo$1240b2o$1241bo79bo$
1321b2o$1240bobobo77bo124bo$1447b2o$1321bobobo122bo2$1447bobobo6$958bo
$958b2o715bo$959bo714b2o$1673bob3o$958bobobo711bobo$1675bo$1150bo$
1150b2o599bo$1151bo598bo2$1150bobobo596bo4$1744bo6bo$1750bo$1240bo504b
o$1240b2o506b2o5b2o$1241bo79bo$1321b2o$1240bobobo77bo124bo293b2o$1447b
2o$1321bobobo122bo2$1447bobobo3$1671bo$1670bo2$1671bo4$1664bo6bo$1670b
o$1665bo$1668b2o3$1661b2o6$1240bo$1240b2o$1241bo2$1240bobobo10$958bo$
958b2o$959bo2$958bobobo2$1150bo$1150b2o$1151bo2$1150bobobo6$1240bo$
1240b2o$1241bo2$1240bobobo15$1625bo24bo$1555bo68b2o25bo$1623bob3o$
1557bo66bobo$1555b2o68bo$1555b2o2bo$1631b2o2$1562bo68b2obo$1561b2o69bo
bo$1560bob3o$1240bo320bobo$1240b2o320bo28bo$1241bo348bo2$1240bobobo
202bo143bo$1447b2o$1448bo$1572bo$1447bobobo122bo9bo6bo$1586bo3bo$1575b
o$1595b2o3$1556b2o$1556bobo$1588bo$1054bo535bo$1054b2o$1055bo$1150bo$
1054bobobo91b2o$1151bo$1578bo$1150bobobo$1579bo9$1447bo$1447b2o$1448bo
2$1447bobobo6$958bo$958b2o$959bo$1054bo$958bobobo91b2o$1055bo$1150bo$
1054bobobo91b2o$1151bo2$1150bobobo6$1240bo$1240b2o$1241bo79bo$1321b2o$
1240bobobo77bo124bo$1447b2o$1321bobobo122bo2$1447bobobo9$1054bo$1054b
2o$1055bo2$1054bobobo452bo$1510bo2$1511bo4$1504bo6bo$1510bo$1240bo264b
o$1240b2o266b2o5b2o$1241bo79bo$1321b2o$1240bobobo77bo124bo53b2o$1447b
2o$1321bobobo122bo2$1447bobobo9$1054bo$1054b2o$1055bo2$1054bobobo11$
1321bo$1321b2o$1322bo124bo$1447b2o$1321bobobo122bo2$1447bobobo6$958bo$
958b2o$959bo2$958bobobo11$1490bo$1240bo250bo$1240b2o$1241bo79bo$1321b
2o$1240bobobo77bo124bo$1447b2o$1321bobobo122bo2$1447bobobo3$1431bo$
1430bo2$1431bo5bo2$1438bo$1054bo382bo$1054b2o375bo$1055bo374bo$1150bo$
1054bobobo91b2o283b2o$1151bo268bo$1420bo$1150bobobo270bo$1424bo2$1418b
o$1417bo2$1240bo$1240b2o$1241bo2$1240bobobo202bo$1447b2o$1401bo46bo$
1401bo$1447bobobo3$1401bo$1402bo2$958bo$958b2o$959bo$1054bo$958bobobo
91b2o$1055bo$1150bo$1054bobobo91b2o$1151bo2$1150bobobo6$1240bo$1240b2o
$1241bo2$1240bobobo202bo$1447b2o$1448bo2$1447bobobo3$1431bo$1430bo2$
1431bo5bo2$1438bo$1437bo$1424bo6bo$1426bo3bo2$1435b2o3$1421b2o6$1240bo
$1240b2o109bo$1241bo79bo28bo$1321b2o$1240bobobo77bo28bo5bo89bo$1447b2o
$1321bobobo32bo89bo$1357bo$1344bo6bo95bobobo$1346bo3bo2$1355b2o3$1341b
2o3$1054bo$1054b2o$1055bo$1150bo$1054bobobo91b2o$1151bo2$1150bobobo10$
1447bo$1447b2o$1448bo2$1447bobobo9$1054bo$1054b2o$1055bo$1150bo$1054bo
bobo91b2o$1151bo2$1150bobobo$1319bo$1319bo6$1321bo$1321b2o$1322bo124bo
$1447b2o$1321bobobo122bo2$1447bobobo$1334bo$1334bo7$1054bo$1054b2o$
1055bo2$1054bobobo212bo$1270bo2$1271bo5bo2$1278bo$1277bo$1271bo$1270bo
2bo2$1268bo$1321bo$1269bo51b2o$1254bo10bo5bo50bo124bo$1253bo13bo179b2o
$1321bobobo122bo$1268bo$1447bobobo3$1244bobo$1245bo$1245bo4$1054bo193b
o$1054b2o192bo$1055bo2$1054bobobo$1484bo2$1484b3o$1484b3o$1487bo$1485b
obo$1486b2o$1486b2o2bo$1240bo246b3o$1240b2o246bo$1241bo79bo152bo$1321b
2o150bo$1240bobobo77bo124bo$1447b2o34bobo$1321bobobo122bo34bo$1482b2o
2bo$1447bobobo29b2o3bo$1485b2o$1481b2ob2o$1482bobo$1464bo$1463bo26b2o$
958bo$958b2o530b2obo$959bo531bobo2$958bobobo2$1150bo$1150b2o$1151bo
302bo$1453bo$1150bobobo2$1275bo$1277bo3$1240bo$1240b2o$1241bo79bo$
1321b2o$1240bobobo77bo124bo$1447b2o$1321bobobo122bo2$1447bobo$1448b2o$
1448b2o2bo$1449b3o$1450bo4$1197bo247bobo$1054bo141bo248bo$1054b2o128b
2o6b2o250b2o2bo$1055bo130bo256b2o3bo$1186bo260b2o$1054bobobo384b2ob2o$
1444bobo2$1452b2o2$1452b2obo$1453bobo3$1240bo$1240b2o$1241bo79bo$1321b
2o$1240bobobo77bo2$1321bobobo8$958bo$958b2o$959bo2$958bobobo2$1150bo$
1150b2o$1151bo2$1150bobobo6$1136bo103bo$1138bo25bob2o72b2o$1166bo6bo
67bo79bo$1169bo5bo145b2o$1165bo74bobobo77bo$1163b5o$1165bobo153bobobo
12$1172bo$1174bo$1150bo207bo$1150b2o$1151bo206b3o$1358b3o$1150bobobo
206bo$1359bobo$1360b2o$1360b2o2bo$1361b3o$1362bo$1240bo107bo$1240b2o
105bo$1241bo79bo$1321b2o34bobo$1240bobobo77bo34bo$1356b2o2bo$1321bobob
o29b2o3bo$1359b2o$1104b2o249b2ob2o$1106bo249bobo$1106bo231bo$1337bo26b
2o$1120bo$1121bo242b2obo$1096bo268bobo$1098bo2$1054bo$1054b2o$1055bo$
1150bo177bo$1054bobobo91b2o175bo$1151bo2$1150bobobo2$1081bo$1081bo3$
1082bo157bo$1081bo158b2o$1241bo79bo$1321b2o$1240bobobo77bo2$1321bobo$
1322b2o$1322b2o2bo$1323b3o$1324bo4$958bo360bobo$958b2o359bo$959bo358b
2o2bo$1054bo262b2o3bo$958bobobo91b2o265b2o$1055bo261b2ob2o$1150bo167bo
bo$1054bobobo91b2o$1055bo95bo174b2o2$1055bo94bobobo171b2obo$1327bobo5$
1240bo$1240b2o$1241bo2$1240bobobo4$1104b2o$1106bo$1106bo2$1120bo$1121b
o4$1054bo$1054b2o221bo$1055bo$1150bo126b3o$1054bobobo91b2o125b3o$1151b
o128bo$1278bobo$1150bobobo124b2o$1035bo243b2o2bo$1034bo245b3o$1036bo
244bo$1267bo$1266bo$1034bo205bo$1035bo204b2o34bobo$1241bo34bo$1275b2o
2bo$1240bobobo29b2o3bo$1278b2o$1014bo259b2ob2o$1014bo260bobo$1257bo$
1256bo26b2o2$1283b2obo$1284bobo5$1054bo$1054b2o191bo$1055bo190bo$1150b
o$1054bobobo91b2o$1151bo2$1150bobobo6$1240bo$1240b2o$1241bo2$1240bobo$
1241b2o$1241b2o2bo$1242b3o$1243bo4$1013bo224bobo$1015bo222bo$958bo278b
2o2bo$958b2o276b2o3bo$959bo14bo265b2o$974bo79bo181b2ob2o$958bobobo91b
2o181bobo$1055bo$1014bo135bo94b2o$1015bo38bobobo91b2o$1151bo93b2obo$
1246bobo$1150bobobo19$955bo$954bo$957b2o$956bo$957b2o95bo$958bobobo91b
2o$1055bo$954bo195bo$955bo98bobobo91b2o$1151bo2$934bo215bobobo$933bo
11$923bo$925bo$924bo262bo2$1187b3o$1187b3o$1190bo$1188bobo$958bo230b2o
$958b2o229b2o2bo$959bo230b3o$1054bo136bo$958bobobo91b2o121bo$1055bo
120bo$1150bo$1054bobobo91b2o34bobo$1151bo34bo$1185b2o2bo$1150bobobo29b
2o3bo$1188b2o$1184b2ob2o$1185bobo$1167bo$1166bo26b2o2$1193b2obo$1194bo
bo$924bo$894bo29bo$893bo3$1157bo$1156bo4$944bo$944bo3$913bo140bo$915bo
138b2o$1055bo$1150bo$963bo90bobobo91b2o$962bo188bo2$1150bobo$963bo187b
2o$964bo186b2o2bo$933bo218b3o$935bo217bo4$1148bobo$875bo272bo$874bo2bo
269b2o2bo$1146b2o3bo$966bo183b2o$953bo12bo179b2ob2o$955bo191bobo2$874b
o280b2o$875bo$1155b2obo$1156bobo$854bo103bo$853bo104b2o$959bo$1054bo$
958bobobo91b2o$1055bo2$1054bobobo14$1091bo2$1091b3o$1091b3o$1094bo$
1092bobo$1093b2o$1093b2o2bo$1094b3o$958bo136bo$958b2o121bo$959bo120bo$
1054bo$958bobobo91b2o34bobo$1055bo34bo$852bo236b2o2bo$854bo199bobobo
29b2o3bo$853bo238b2o$1088b2ob2o$814bo274bobo$813bo257bo$1070bo26b2o2$
1097b2obo$1098bobo$854bo$855bo4$1061bo$1060bo$833bo$835bo6$958bo$958b
2o$959bo$1054bo$958bobobo91b2o$1055bo2$1054bobo$1055b2o$795bo259b2o2bo
$794bo2bo258b3o$1057bo4$1052bobo$794bo257bo$795bo255b2o2bo$1050b2o3bo$
1054b2o$774bo275b2ob2o$773bo277bobo2$1059b2o2$1059b2obo$1060bobo4$958b
o$958b2o$763bo195bo$765bo$764bo193bobobo14$995bo2$995b3o$995b3o$998bo$
996bobo$997b2o$997b2o2bo$998b3o$999bo$985bo$764bo219bo$734bo29bo193bo$
733bo224b2o34bobo$959bo34bo$993b2o2bo$958bobobo29b2o3bo$996b2o$992b2ob
2o$993bobo$975bo$795bo178bo26b2o$794bo2bo$1001b2obo$1002bobo$753bo$
755bo2$794bo$795bo$965bo$964bo4$773bo$775bo5$715bo$714bo2bo240bo$958b
2o$959bo2$958bobo$959b2o$714bo244b2o2bo$715bo244b3o$961bo2$694bo$693bo
$956bobo$956bo$955b2o2bo$954b2o3bo$958b2o$954b2ob2o$955bobo2$963b2o2$
963b2obo$964bobo23$692bo$694bo$693bo2$654bo$653bo5$694bo$695bo4$478bo$
480bo$474bo198bo$675bo$475bo2$463bo14b3o$462bo2bo$477bo5bo$463b2o13bo
4bo$481bo$466bo$468bo3$447bo$446bobo$417bo$416b2o29bobo7bo177bo$415bob
3o28b3o5bo2bo174bo2bo$416bobo14bo$417bo14b3o$423bo6bo2bob2o21b3o$423b
3o11b2o20b2o14bo$423bo7bo27b3o12bobo$436b2ob2o34b2o157bo$423bo3bo10bob
o34b3o157bo$421b2obo35bo2bo$420bob2o2bo35bo13b3o$421bobo190bo$422bo
190bo4$494bobo$448b2o45b2o$449bo45b3o$448bo2bo$449bobo44b3o$449bo2bo$
452bo$453bo149bo$452b3o150bo$453bo150bo$450bo63bobo$452bo62b2o$515b3o
2$448bo67b3o$446bo$451bo$447bo3bo$445b2obob3o$444bob2o$445bobo86bobo$
446bo88b2o$455bo79b3o41bo$454b2o$453bob3o78b3o40bo$454bobo110bo$455bo
110b2o$565bob3o$566bobo$567bo$554bobo$555b2o$555b3o2$542bo13b3o45bo$
541bo32bo29bo$573bobo$574b2o$575b3o$574bobo5$624bo$624bo3$593bo$595bo
3$643bo$642bo3$643bo$644bo$613bo$615bo5$555bo$554bo2bo2$646bo$633bo12b
o$635bo$652bo$554bo96bo$555bo6$533bo$535bo25$504bo$504bo5$714bobo$533b
2o180b2o$534bo180b3o2$462bo71b3o179b3o$461bo73b2o$536bo2$493bo$495bo$
358bo$360bo173bo$354bo180bo2$355bo2$343bo14b3o$342bo2bo$357bo5bo149bo$
343b2o13bo4bo151bo$361bo$346bo$348bo3$327bo$326bobo$297bo$296b2o29bobo
7bo$295bob3o28b3o5bo2bo$296bobo14bo460bobo$297bo14b3o460b2o$303bo6bo2b
ob2o21b3o434b3o$303b3o11b2o20b2o14bo$303bo7bo27b3o12bobo118bo300b3o$
316b2ob2o34b2o117bo2bo$303bo3bo10bobo34b3o$301b2obo35bo2bo$300bob2o2bo
35bo13b3o$301bobo$302bo$474bo$475bo$418b2o$374bobo$328b2o45b2o$329bo
45b3o$328bo2bo$329bobo44b3o74bo$329bo2bo122bo$332bo$333bo$332b3o$333bo
104bo$330bo63bobo44bo$332bo62b2o42bo$395b3o42b3o$439b2obo$328bo67b3o
42b4o$326bo112b2o2bo$331bo111b2o389bobo$327bo3bo503b2o$325b2obob3o502b
3o$324bob2o$325bobo71bo436b3o$326bo73bo$335bo$334b2o$333bob3o$334bobo$
335bo4$424bo$424bo5$380bo493bobo$379bo495b2o$875b3o2$382bo61bo431b3o$
381bo62bo3$413bo$415bo$322bo2$324bo$322b2o$322b2o2bo148bo$474bo2bo3$
433bo$435bo$327b2o$474bo$327b2obo44b2o98bo$328bobo44bobo$359bo$360bo3$
319bo10bo122bo$332bo122bo$321bo$319b2o$319b2o2bo2$395bo$394bo2bo2$322b
2o2$322b2obo$323bobo$394bo$395bo2$534bobo$535b2o$341bo193b3o2$342bo30b
o162b3o$375bo13$335b2o$335bobo$319bo$320bo6$300b2o3$344bo$344bo5$300bo
$299bo3$302bo$301bo72bo2bo$376bo2$333bo$335bo2$374bo$375bo6$353bo$355b
o3$295b2o$295bobo$279bo$280bo6$260b2o3$315bo$314bo2bo6$314bo$315bo2$
694bobo$262bo432b2o$695b3o$263bo$262bo30bo402b3o$295bo$127bo$127bo$
123bo$123bo$124bo2$127bo$126bo2bo155bo$127bobo155bo$111b4o13b2o2$116bo
$255b2o$112bob2o139bobo$114b2o123bo$96bo20bo122bo$66bo34bo15bo$65b2o
28bobo2bobo15b2o$64bob3o49bo$65bobo29bo21bo2bo$66bo35bo3bo$81b2o23b2o
112b2o$80bo2b2o38bo$80b2o25b2o13b2o$72bo2bo7bob2o35b3o139bo$72b2o10bob
o21b2o154bo$70b2ob3o33bo13b3o$69bob2o$70bobo$71bo$220bo$219bo$141bobo$
142b2o$142b3o77bo61bo$221bo62bo$143b3o$97b2o$98bo154bo$97bo2bo154bo$
98bobo$101bo$99bobo59bobo$99b2o61b2o$162b3o139bo$304bo$163b3o2$96bobo
174bo$96bo178bo$96b2o133bo$94b2ob2o136bo$93bob2o84bobo31b2o14bob2o88bo
$94bobo85b2o31bobo104bo$95bo86b3o14bo$104bo95bo33bobo$103b2o78b3o47b2o
2bo85bo$102bob3o217bo$103bobo128b3o2bo53bo$104bo190bo$368bo$180b2o$
370bo$368b2o$224bo143b2o2bo$224bo$186bo191bo$178bo6bo140bo50b2o$179bo
52b2o2bo76bo12bo49bob3o$233b2o80bo61bobo$236bo95bo45bo$331bo10bo$192bo
43bo105bo$191bo$179bo674bobo$180bo674b2o$855b3o2$213bo130b2o510b3o$
215bo2$160b2o$237bo$237bo2$171bobo$166bo5b2o$158bo6bo$159bo82b2o2bo$
243b2o$246bo2$175b2o20bo48bo$175bobo19bo$159bo$160bo3$95bo21bo$94b4o
15bo$91b2o3bob2o15bo2bo2bo$90b2obo5bo11b2o7bo19b2o$89bob3o6bo15bo4bo
73bo$90bobo18b2obo80b2o$91bo20bobo69bo11bo$100bo83bo$146bo48bobobo$
138bo6bo$95bo43bo112b2o2bo$99bo18bo134b2o$97bo19b2o137bo$95b2o19bob3o$
95b2o2bo17bobo21bo10bo103bo$118bo24bo7bo$139bo64bo$101bo20bo17bo4b2o
57bo$101bo22bo20bobo2$173bo29bobo$175bo28b2obo$147b2o$148bo59bo$122bo
3bo7b2o$121bob3o10bob3o$124b2ob2o5bo2b2obo15bo59bo$91bo20bo9bob5obo3bo
b2o2bo2bo14bo59bo$80bo10bo22bo11b2o8bo3b2o2bo$79b2o37bo9bo5bobo6b2o$
78bob3o36bo9b2o2bo2bo4bo51bo68b2o2bo$79bobo36b2o14b2o22b2o35bo22b2o43b
2o$80bo54bo23b3o57b3o44bo$101bo35bo22bo59bo$64bo67bo133bo$63b2o37bo28b
o48bo59bo$62bob3o34bo3bo$63bobo14bo25b2o74bo59bo$64bo14b3o23bobobo70b
2o58b2o$70bo6bo2bob2o28b2o66b2o2bo55b2o2bo$70b3o11b2o20bo3bo3b2o358b2o
$70bo7bo29bo3bo$83b2ob2o20bo4b2ob2o356bob2o$70bo3bo10bobo27bobo357bobo
$68b2obo$67bob2o2bo$68bobo16bo$69bo16bo3$272b2o2bo$273b2o$276bo2$276bo
2$77bo$76bo9$67bo$66bo3$282b2o2bo$283b2o$286bo2$286bo2$57bo$56bo9$47bo
$46bo3$292b2o2bo$293b2o$296bo2$296bo2$37bo$2o17bo16bo42bo$5b2o12bo$2ob
o17bo$bobo5bo9bo2b2o52bo$6bo2b2o6b3o35bo$10bo6bo2b2obo$19bo5bo29bo$9bo
17b2o28b2o$6b2o17bo2b2o25bo2b2o$5b2o3bo$9bo63bo$5b2ob2o$6bobo66bo$73b
2o227b2o2bo$73b2o2bo225b2o$306bo2$306bo2$337bo7$329bo$328bo$328bo$333b
o$329bo2bo$331b4o$333bo$312b2o$313b2o$316b2o$322bobo$321b4o$317bo7bo$
322bo$318bo2bob3o$324bo$325bo$322bo2$310bo12bo$278bo26bo3bo2bo10bo$
304bo4b2ob2o$280bo$278b2o24bo5bo3bo$278b2o2bo21bobo$312bo$315b2o$290bo
$284b2obo2bobo22bo$286b2o2bobo22b3o$286bo5bo25bo$285bo32b2o$283b2o3bo$
283b2o$317bo$321bo$317b2obo12$311b3o2$312b3o2$309bo$312b2o$311b2o$310b
o2bo$308b2o3bo$308b2o$317bo2$319bo$317b2o$317b2o2bo!
I also found some more two-glider deletions.

Code: Select all

x = 365, y = 58, rule = 22da
281bo2$283bo$281b2o$281b2o2bo5$210b2o2$210b2obo$211bobo7$276bo$275b2o$
274bob3o$275bobo$276bo63bo10bo$350b2o$341bo7bob3o$337bo5bo6bobo7bo$
339bo11bo$362bo$275bo64bo19b2o$360b2o2bo$276bo$278bo$142bo2$23b2o68b2o
49bo$142b2o$23b2obo27b2o37b2obo45b2o2bo$24bobo67bobo$54b2obo$29bo25bob
o$2bo$31bo111bo$4bo24b2o111bo$2b2o25b2o2bo108b2o49b2o$2b2o2bo186bo$
100bobo42bo47b2o$61bo38b3o42bo$61b2obo$64bo$64bo5$o26b2o$2bo24bobo$bo!

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: 22da (Hexagonal Grid)

Post by c0b0p0 » June 16th, 2014, 4:32 pm

I deleted the bothersome waves of gliders in the O(1) rake left over from cleanup reactions.

Code: Select all

x = 2384, y = 2370, rule = 22da
2372bo$2371b2o$2370bob3o$2371bobo$2372bo2$2376bo$2377bo2$2379bo2$2381b
o$2379b2o$2379b2o2bo46$2333bo2$2335bo$2333b2o$2294bo38b2o2bo$2293b2o$
2292bob3o45bo$2293bobo45b2o$2294bo45bob3o$2341bobo$2342bo$2298bo2$
2300bo$2298b2o12bo$2298b2o2bo$2313bo14$2258bo2$2260bo$2258b2o49bo$
2258b2o2bo45b2o$2307bob3o$2264bo43bobo$2264b2o43bo$2265bo$2315b2o$
2264bobobo$2315b2obo$2316bobo24$2264bo$2264b2o$2265bo2$2264bobobo19$
2231bo$2230bo2$2231bo3$2194b2o$2264bo$2194b2obo66b2o$2195bobo67bo2$
2264bobobo14$2301bo2$2301b3o$2301b3o$2304bo$2302bobo$2303b2o$2303b2o2b
o$2304b3o$2305bo$2291bo$2290bo$2264bo$2264b2o34bobo$2265bo34bo$2138bo
160b2o2bo$2264bobobo29b2o3bo$2140bo161b2o$2138b2o158b2ob2o$2138b2o2bo
156bobo$2281bo$2144bo135bo26b2o$2144b2o$2145bo161b2obo$2308bobo$2144bo
bobo5$2271bo$2270bo11$2264bo$2264b2o$2265bo2$2264bobo$2265b2o$2265b2o
2bo$2266b3o$2267bo4$2262bobo$2151bo110bo$2150bo110b2o2bo$2260b2o3bo$
2151bo112b2o$2260b2ob2o$2261bobo2$2269b2o2$2269b2obo$2270bobo3$2141b2o
13$2144bo$2144b2o$2145bo2$2144bobobo55bo2$2206bo$2204b2o$2204b2o2bo$
2214b2o2$2214b2obo$2215bobo18$2144bo$2144b2o$2145bo2$2144bobobo14$
2181bo2$2181b3o$2181b3o$2184bo$2182bobo$2071bo111b2o$2070bo112b2o2bo$
2184b3o$2071bo113bo$2171bo$2170bo$2144bo$2071bo72b2o34bobo$2070bo74bo
34bo$2179b2o2bo$2144bobobo29b2o3bo$2060bo121b2o$2060bo117b2ob2o$2179bo
bo$2161bo$2160bo26b2o$2053bo$2054bo132b2obo$2057bo130bobo$2058bo5$
2151bo$2041bo108bo$2041bo4$2041bo$2042bo5$2144bo$2144b2o$2145bo2$2144b
obo$2145b2o$2145b2o2bo$2146b3o$2147bo4$2142bobo$2142bo$2141b2o2bo$
2140b2o3bo$2144b2o$2045bo94b2ob2o$2141bobo$2047bo$2045b2o102b2o$2045b
2o2bo$2149b2obo$2150bobo$2071bo$2070bo$2050b2o$2071bo$2050b2obo$2051bo
bo2$2071bo$2070bo2$2075b2o$1944bo2$1946bo114b2o$1944b2o$1944b2o2bo2$
1950bo$1950b2o$1951bo$1991bo$1950bobobo35bo2$1991bo4$1991bo$1990bo5$
1981b2o44$1950bo$1950b2o$1951bo2$1950bobobo10$1973bo$1973bo8$1911bo$
1910bo2$1911bo4$1904bo6bo38bo$1906bo3bo39b2o$1951bo2$1950bobobo4$1908b
o$1910bo6$1898bo2$1899bo13$1950bo$1950b2o$1951bo2$1950bobobo26$1950bo$
1950b2o$1951bo2$1950bobobo9$1831bo$1830bo2$1831bo2$1987bo2$1824bo6bo
155b3o$1830bo156b3o$1825bo164bo$1828b2o158bobo$1989b2o$1989b2o2bo$
1821b2o167b3o$1991bo$1977bo$1976bo$1950bo$1950b2o34bobo$1951bo34bo$
1985b2o2bo$1950bobobo29b2o3bo$1988b2o$1984b2ob2o$1985bobo$1967bo$1966b
o26b2o2$1993b2obo$1994bobo6$1957bo$1956bo11$1950bo$1950b2o$1951bo2$
1950bobo$1951b2o$1951b2o2bo$1952b3o$1953bo4$1948bobo$1948bo$1947b2o2bo
$1946b2o3bo$1950b2o$1946b2ob2o$1947bobo2$1955b2o$1810bo$1811bo143b2obo
$1956bobo10$1751bo$1750bo2$1751bo4$1751bo$1750bo3$1740bo$1740bo4$1738b
o$1737bo8$1721bo$1721bo4$1721bo$1722bo4$1680bo2$1682bo$1680b2o$1680b2o
2bo15$1675bo$1674b2o$1673bob3o$1674bobo$1675bo2$1751bo$1750bo2$1751bo
4$1744bo6bo$1750bo$1745bo$1748b2o5b2o3$1741b2o7$1671bo$1670bo2$1671bo
4$1664bo6bo$1670bo$1665bo$1668b2o3$1661b2o55$1625bo24bo$1555bo68b2o25b
o$1623bob3o$1557bo66bobo$1555b2o68bo$1555b2o2bo$1631b2o2$1562bo68b2obo
$1561b2o69bobo$1560bob3o$1561bobo$1562bo28bo$1590bo2$1591bo3$1572bo$
1574bo9bo6bo$1586bo3bo$1575bo$1595b2o3$1556b2o$1556bobo$1588bo$1590bo
6$1578bo2$1579bo56$1511bo$1510bo2$1511bo4$1504bo6bo$1510bo$1505bo$
1508b2o5b2o3$1501b2o24$1441bo2$1443bo$1441b2o$1441b2o2bo2$1447bo$1447b
2o$1448bo2$1447bobobo21$1490bo$1491bo4$1447bo$1447b2o$1448bo2$1447bobo
bo3$1431bo$1430bo2$1431bo5bo2$1438bo$1437bo$1431bo$1430bo2$1435b2o$
1420bo$1420bo$1425bo$1424bo2$1418bo$1417bo6$1447bo$1447b2o$1401bo46bo$
1401bo$1447bobobo3$1401bo$1402bo22$1447bo$1447b2o$1448bo2$1447bobobo3$
1431bo$1430bo2$1431bo5bo2$1438bo$1437bo$1424bo6bo$1426bo3bo2$1435b2o3$
1421b2o2$1315bo2$1317bo$1315b2o$1315b2o2bo$1351bo$1321bo28bo$1321b2o$
1322bo28bo5bo89bo$1447b2o$1321bobobo32bo89bo$1357bo$1344bo6bo95bobobo$
1346bo3bo2$1355b2o3$1341b2o20$1447bo$1447b2o$1448bo2$1447bobobo17$
1319bo$1319bo6$1321bo$1321b2o$1322bo124bo$1447b2o$1321bobobo122bo2$
1447bobobo$1334bo$1334bo11$1271bo$1270bo2$1234bo36bo5bo2$1236bo41bo$
1234b2o41bo$1234b2o2bo32bo$1270bo2bo$1240bo$1240b2o26bo$1241bo79bo$
1269bo51b2o$1240bobobo9bo10bo5bo50bo124bo$1253bo13bo179b2o$1321bobobo
122bo$1268bo$1447bobobo3$1244bobo$1245bo$1245bo4$1248bo$1248bo4$1484bo
2$1484b3o$1484b3o$1487bo$1485bobo$1486b2o$1486b2o2bo$1240bo246b3o$
1240b2o246bo$1241bo79bo152bo$1321b2o150bo$1240bobobo77bo124bo$1447b2o
34bobo$1321bobobo122bo34bo$1482b2o2bo$1447bobobo29b2o3bo$1485b2o$1481b
2ob2o$1482bobo$1464bo$1463bo26b2o$1144bo$1490b2obo$1146bo344bobo$1144b
2o$1144b2o2bo2$1150bo$1150b2o$1151bo302bo$1453bo$1150bobobo2$1275bo$
1277bo3$1240bo$1240b2o$1241bo79bo$1321b2o$1240bobobo77bo124bo$1447b2o$
1321bobobo122bo2$1447bobo$1448b2o$1448b2o2bo$1449b3o$1450bo4$1197bo
247bobo$1196bo248bo$1184b2o6b2o250b2o2bo$1186bo256b2o3bo$1186bo260b2o$
1443b2ob2o$1444bobo2$1452b2o2$1452b2obo$1453bobo3$1240bo$1240b2o$1241b
o79bo$1321b2o$1240bobobo77bo2$1321bobobo14$1150bo$1150b2o$1151bo2$
1150bobobo6$1136bo103bo$1138bo25bob2o72b2o$1166bo6bo67bo79bo$1169bo5bo
145b2o$1165bo74bobobo77bo$1163b5o$1165bobo153bobobo12$1172bo$1174bo$
1150bo207bo$1150b2o$1151bo206b3o$1358b3o$1150bobobo206bo$1359bobo$
1360b2o$1360b2o2bo$1361b3o$1362bo$1240bo107bo$1240b2o105bo$1241bo79bo$
1321b2o34bobo$1240bobobo77bo34bo$1356b2o2bo$1321bobobo29b2o3bo$1359b2o
$1104b2o249b2ob2o$1106bo249bobo$1106bo231bo$1048bo288bo26b2o$1120bo$
1050bo70bo242b2obo$1048b2o46bo268bobo$1048b2o2bo45bo2$1054bo$1054b2o$
1055bo$1150bo177bo$1054bobobo91b2o175bo$1151bo2$1150bobobo2$1081bo$
1081bo3$1082bo157bo$1081bo158b2o$1241bo79bo$1321b2o$1240bobobo77bo2$
1321bobo$1322b2o$1322b2o2bo$1323b3o$1324bo4$1319bobo$1319bo$1318b2o2bo
$1054bo262b2o3bo$1054b2o265b2o$1055bo261b2ob2o$1150bo167bobo$1054bobob
o91b2o$1055bo95bo174b2o2$1055bo94bobobo171b2obo$1327bobo5$1240bo$1240b
2o$1241bo2$1240bobobo4$1104b2o$1106bo$1106bo2$1120bo$1121bo4$1054bo$
1054b2o221bo$1055bo$1150bo126b3o$1054bobobo91b2o125b3o$1151bo128bo$
1278bobo$1150bobobo124b2o$1035bo243b2o2bo$1034bo245b3o$1036bo244bo$
1267bo$1266bo$1034bo205bo$1035bo204b2o34bobo$1241bo34bo$1275b2o2bo$
1240bobobo29b2o3bo$1278b2o$1014bo259b2ob2o$1014bo260bobo$1257bo$1256bo
26b2o2$1283b2obo$1284bobo5$1054bo$1054b2o191bo$1055bo190bo$1150bo$
1054bobobo91b2o$1151bo2$1150bobobo6$1240bo$1240b2o$1241bo2$1240bobo$
1241b2o$1241b2o2bo$1242b3o$952bo290bo2$954bo$952b2o$952b2o2bo56bo224bo
bo$1015bo222bo$958bo278b2o2bo$958b2o276b2o3bo$959bo14bo265b2o$974bo79b
o181b2ob2o$958bobobo91b2o181bobo$1055bo$1014bo135bo94b2o$1015bo38bobob
o91b2o$1151bo93b2obo$1246bobo$1150bobobo19$955bo$954bo$957b2o$956bo$
957b2o95bo$958bobobo91b2o$1055bo$954bo195bo$955bo98bobobo91b2o$1151bo
2$934bo215bobobo$933bo11$923bo$925bo$924bo262bo2$1187b3o$1187b3o$1190b
o$1188bobo$958bo230b2o$958b2o229b2o2bo$959bo230b3o$1054bo136bo$958bobo
bo91b2o121bo$1055bo120bo$1150bo$1054bobobo91b2o34bobo$1151bo34bo$1185b
2o2bo$1150bobobo29b2o3bo$1188b2o$1184b2ob2o$1185bobo$1167bo$1166bo26b
2o2$1193b2obo$1194bobo$924bo$894bo29bo$893bo3$1157bo$1156bo4$944bo$
944bo3$913bo140bo$915bo138b2o$1055bo$1150bo$963bo90bobobo91b2o$962bo
188bo2$1150bobo$963bo187b2o$964bo186b2o2bo$933bo218b3o$935bo217bo4$
1148bobo$875bo272bo$874bo2bo269b2o2bo$1146b2o3bo$966bo183b2o$953bo12bo
179b2ob2o$955bo191bobo2$874bo280b2o$875bo$1155b2obo$1156bobo$854bo103b
o$853bo104b2o$959bo$1054bo$958bobobo91b2o$1055bo2$1054bobobo14$1091bo
2$1091b3o$1091b3o$1094bo$1092bobo$1093b2o$1093b2o2bo$1094b3o$958bo136b
o$958b2o121bo$959bo120bo$1054bo$958bobobo91b2o34bobo$1055bo34bo$852bo
236b2o2bo$854bo199bobobo29b2o3bo$853bo238b2o$1088b2ob2o$814bo274bobo$
813bo257bo$1070bo26b2o2$1097b2obo$1098bobo$854bo$855bo4$1061bo$1060bo$
833bo$835bo6$958bo$958b2o$959bo$1054bo$958bobobo91b2o$1055bo2$1054bobo
$1055b2o$795bo259b2o2bo$794bo2bo258b3o$1057bo4$1052bobo$794bo257bo$
795bo255b2o2bo$1050b2o3bo$1054b2o$774bo275b2ob2o$773bo277bobo2$1059b2o
2$1059b2obo$1060bobo4$958bo$958b2o$763bo195bo$765bo$764bo193bobobo14$
995bo2$995b3o$995b3o$998bo$996bobo$997b2o$997b2o2bo$998b3o$999bo$985bo
$764bo219bo$734bo29bo193bo$733bo224b2o34bobo$959bo34bo$993b2o2bo$958bo
bobo29b2o3bo$996b2o$992b2ob2o$993bobo$975bo$795bo178bo26b2o$794bo2bo$
1001b2obo$1002bobo$753bo$755bo2$794bo$795bo$965bo$964bo4$773bo$775bo5$
715bo$714bo2bo240bo$958b2o$959bo2$958bobo$959b2o$714bo244b2o2bo$715bo
244b3o$961bo2$694bo$693bo$956bobo$956bo$955b2o2bo$954b2o3bo$958b2o$
954b2ob2o$955bobo2$963b2o2$963b2obo$964bobo23$692bo$694bo$693bo2$654bo
$653bo5$694bo$695bo4$478bo$480bo$474bo198bo$675bo$475bo2$463bo14b3o$
462bo2bo$477bo5bo$463b2o13bo4bo$481bo$466bo$468bo3$447bo$446bobo$417bo
$416b2o29bobo7bo177bo$415bob3o28b3o5bo2bo174bo2bo$416bobo14bo$417bo14b
3o$423bo6bo2bob2o21b3o$423b3o11b2o20b2o14bo$423bo7bo27b3o12bobo$436b2o
b2o34b2o157bo$423bo3bo10bobo34b3o157bo$421b2obo35bo2bo$420bob2o2bo35bo
13b3o$421bobo190bo$422bo190bo4$494bobo$448b2o45b2o$449bo45b3o$448bo2bo
$449bobo44b3o$449bo2bo$452bo$453bo149bo$452b3o150bo$453bo150bo$450bo
63bobo$452bo62b2o$515b3o2$448bo67b3o$446bo$451bo$447bo3bo$445b2obob3o$
444bob2o$445bobo86bobo$446bo88b2o$455bo79b3o41bo$454b2o$453bob3o78b3o
40bo$454bobo110bo$455bo110b2o$565bob3o$566bobo$567bo$554bobo$555b2o$
555b3o2$542bo13b3o45bo$541bo32bo29bo$573bobo$574b2o$575b3o$574bobo5$
624bo$624bo3$593bo$595bo3$643bo$642bo3$643bo$644bo$613bo$615bo5$555bo$
554bo2bo2$646bo$633bo12bo$635bo$652bo$554bo96bo$555bo6$533bo$535bo25$
504bo$504bo$698bo$696b2o$696b2o3$533b2o$534bo2$462bo71b3o$461bo73b2o$
536bo2$493bo$495bo$358bo$360bo173bo$354bo180bo2$355bo2$343bo14b3o$342b
o2bo$357bo5bo149bo$343b2o13bo4bo151bo$361bo$346bo$348bo3$327bo$326bobo
$297bo$296b2o29bobo7bo$295bob3o28b3o5bo2bo$296bobo14bo$297bo14b3o$303b
o6bo2bob2o21b3o$303b3o11b2o20b2o14bo$303bo7bo27b3o12bobo118bo$316b2ob
2o34b2o117bo2bo$303bo3bo10bobo34b3o$301b2obo35bo2bo$300bob2o2bo35bo13b
3o$301bobo$302bo$474bo$475bo$418b2o$374bobo$328b2o45b2o$329bo45b3o$
328bo2bo$329bobo44b3o74bo$329bo2bo122bo$332bo$333bo$332b3o$333bo104bo$
330bo63bobo44bo$332bo62b2o42bo$395b3o42b3o$439b2obo$328bo67b3o42b4o$
326bo112b2o2bo$331bo111b2o$327bo3bo$325b2obob3o$324bob2o$325bobo71bo$
326bo73bo$335bo$334b2o$333bob3o$334bobo$335bo4$424bo$424bo5$380bo$379b
o3$382bo61bo$381bo62bo3$413bo$415bo$322bo2$324bo$322b2o$322b2o2bo148bo
$474bo2bo3$433bo$435bo$327b2o$474bo$327b2obo44b2o98bo$328bobo44bobo$
359bo$360bo3$319bo10bo122bo$332bo122bo$321bo$319b2o$319b2o2bo2$395bo$
394bo2bo2$322b2o2$322b2obo$323bobo$394bo$395bo4$341bo2$342bo30bo$375bo
$538bo$536b2o$536b2o10$335b2o$335bobo$319bo$320bo6$300b2o3$344bo$344bo
5$300bo$299bo3$302bo$301bo72bo2bo$376bo2$333bo$335bo2$374bo$375bo6$
353bo$355bo3$295b2o$295bobo$279bo$280bo6$260b2o3$315bo$314bo2bo6$314bo
$315bo3$262bo2$263bo$262bo30bo$295bo$127bo$127bo$123bo$123bo$124bo2$
127bo$126bo2bo155bo$127bobo155bo$111b4o13b2o2$116bo$255b2o$112bob2o
139bobo$114b2o123bo$96bo20bo122bo$66bo34bo15bo$65b2o28bobo2bobo15b2o$
64bob3o49bo$65bobo29bo21bo2bo$66bo35bo3bo$81b2o23b2o112b2o$80bo2b2o38b
o$80b2o25b2o13b2o$72bo2bo7bob2o35b3o139bo$72b2o10bobo21b2o154bo$70b2ob
3o33bo13b3o$69bob2o$70bobo$71bo$220bo$219bo$141bobo$142b2o$142b3o77bo
61bo$221bo62bo$143b3o$97b2o$98bo154bo$97bo2bo154bo$98bobo$101bo$99bobo
59bobo$99b2o61b2o$162b3o139bo$304bo$163b3o2$96bobo174bo$96bo178bo$96b
2o133bo$94b2ob2o136bo$93bob2o84bobo31b2o14bob2o88bo$94bobo85b2o31bobo
104bo$95bo86b3o14bo$104bo95bo33bobo$103b2o78b3o47b2o2bo85bo$102bob3o
217bo$103bobo128b3o2bo53bo$104bo190bo$368bo$180b2o$370bo$368b2o$224bo
143b2o2bo$224bo$186bo191bo$178bo6bo140bo50b2o$179bo52b2o2bo76bo12bo49b
ob3o$233b2o80bo61bobo$236bo95bo45bo$331bo10bo$192bo43bo105bo$191bo$
179bo$180bo3$213bo130b2o$215bo2$160b2o$237bo$237bo2$171bobo$166bo5b2o$
158bo6bo$159bo82b2o2bo$243b2o$246bo2$175b2o20bo48bo$175bobo19bo$159bo$
160bo3$95bo21bo$94b4o15bo$91b2o3bob2o15bo2bo2bo$90b2obo5bo11b2o7bo19b
2o$89bob3o6bo15bo4bo73bo$90bobo18b2obo80b2o$91bo20bobo69bo11bo$100bo
83bo$146bo48bobobo$138bo6bo$95bo43bo112b2o2bo$99bo18bo134b2o$97bo19b2o
137bo$95b2o19bob3o$95b2o2bo17bobo21bo10bo103bo$118bo24bo7bo$139bo64bo$
101bo20bo17bo4b2o57bo$101bo22bo20bobo2$173bo29bobo$175bo28b2obo$147b2o
$148bo59bo$122bo3bo7b2o$121bob3o10bob3o$124b2ob2o5bo2b2obo15bo59bo$91b
o20bo9bob5obo3bob2o2bo2bo14bo59bo$80bo10bo22bo11b2o8bo3b2o2bo$79b2o37b
o9bo5bobo6b2o$78bob3o36bo9b2o2bo2bo4bo51bo68b2o2bo$79bobo36b2o14b2o22b
2o35bo22b2o43b2o$80bo54bo23b3o57b3o44bo$101bo35bo22bo59bo$64bo67bo133b
o$63b2o37bo28bo48bo59bo$62bob3o34bo3bo$63bobo14bo25b2o74bo59bo$64bo14b
3o23bobobo70b2o58b2o$70bo6bo2bob2o28b2o66b2o2bo55b2o2bo$70b3o11b2o20bo
3bo3b2o$70bo7bo29bo3bo$83b2ob2o20bo4b2ob2o$70bo3bo10bobo27bobo$68b2obo
$67bob2o2bo$68bobo16bo$69bo16bo3$272b2o2bo$273b2o$276bo2$276bo2$77bo$
76bo9$67bo$66bo3$282b2o2bo$283b2o$286bo2$286bo2$57bo$56bo9$47bo$46bo3$
292b2o2bo$293b2o$296bo2$296bo2$37bo$2o17bo16bo42bo$5b2o12bo$2obo17bo$b
obo5bo9bo2b2o52bo$6bo2b2o6b3o35bo$10bo6bo2b2obo$19bo5bo29bo$9bo17b2o
28b2o$6b2o17bo2b2o25bo2b2o$5b2o3bo$9bo63bo$5b2ob2o$6bobo66bo$73b2o227b
2o2bo$73b2o2bo225b2o$306bo2$306bo2$337bo7$329bo$328bo$328bo$333bo$329b
o2bo$331b4o$333bo$312b2o$313b2o$316b2o$322bobo$321b4o$317bo7bo$322bo$
318bo2bob3o$324bo$325bo$322bo2$310bo12bo$278bo26bo3bo2bo10bo$304bo4b2o
b2o$280bo$278b2o24bo5bo3bo$278b2o2bo21bobo$312bo$315b2o$290bo$284b2obo
2bobo22bo$286b2o2bobo22b3o$286bo5bo25bo$285bo32b2o$283b2o3bo$283b2o$
317bo$321bo$317b2obo12$311b3o2$312b3o2$309bo$312b2o$311b2o$310bo2bo$
308b2o3bo$308b2o$317bo2$319bo$317b2o$317b2o2bo!
The long-awaited odd-period oscillators may be coming at last. Here is a possible start for a p9.

Code: Select all

x = 8, y = 8, rule = 22da
o$2o$obo$o2bo$o3bo$o4bo$o5bo$8o!

bprentice
Posts: 674
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: 22da (Hexagonal Grid)

Post by bprentice » June 16th, 2014, 8:18 pm

c0b0p0 wrote:I deleted the bothersome waves of gliders in the O(1) rake left over from cleanup reactions.
Well done! I admire your perseverance.

Brian Prentice

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: 22da (Hexagonal Grid)

Post by c0b0p0 » June 17th, 2014, 10:16 pm

Although cleaning the rake should be easy, after at least thirty-five clever tricks, I could only get the population of the rake down to 1,790! This certainly doesn't seem like a very large improvement over the p960 titan (yet).

Code: Select all

x = 2384, y = 2369, rule = 22da
2371b2o$2370bob2o$2371bobo$2372bo7$2381bo$2379b2o$2379b2o2bo48$2335bo$
2333b2o$2333b2o$2293b2o$2292bob3o45bo$2293bobo45b2o$2294bo45bob2o$
2341bobo$2342bo3$2300bo$2298b2o$2298b2o17$2260bo$2258b2o$2258b2o48b2o$
2307bob2o$2308bobo$2309bo2$2315b2o2$2315b2obo$2316bobo53$2194b2o2$
2194b2obo$2195bobo16$2301bo2$2301b3o$2301b3o$2304bo$2302bobo$2303b2o$
2303b2o2bo$2304b3o$2305bo$2291bo$2290bo2$2300bobo$2300bo$2299b2o2bo$
2298b2o3bo$2140bo161b2o$2138b2o158b2ob2o$2138b2o159bobo$2281bo$2280bo
26b2o2$2307b2obo$2308bobo6$2271bo$2270bo11$2264bo$2264b2o$2265bo2$
2264bobo$2265b2o$2265b2o2bo$2266b3o$2267bo4$2262bobo$2262bo$2261b2o2bo
$2260b2o3bo$2264b2o$2260b2ob2o$2261bobo2$2269b2o2$2269b2obo$2270bobo
20$2204bo2$2206bo$2204b2o$2204b2o$2214b2o2$2214b2obo$2215bobo36$2181bo
2$2181b3o$2181b3o$2184bo$2182bobo$2183b2o$2183b2o2bo$2184b3o$2185bo$
2171bo$2170bo2$2180bobo$2180bo$2179b2o2bo$2178b2o3bo$2182b2o$2178b2ob
2o$2179bobo$2161bo$2160bo26b2o2$2187b2obo$2188bobo6$2151bo$2150bo11$
2144bo$2144b2o$2145bo2$2144bobo$2145b2o$2145b2o2bo$2146b3o$2147bo4$
2142bobo$2142bo$2141b2o2bo$2140b2o3bo$2144b2o$2140b2ob2o$2141bobo$
2047bo$2045b2o102b2o$2045b2o$2149b2obo$2150bobo3$2050b2o2$2050b2obo$
2051bobo8$1946bo$1944b2o$1944b2o170$1987bo2$1987b3o$1987b3o$1990bo$
1988bobo$1989b2o$1989b2o2bo$1990b3o$1991bo$1977bo$1976bo2$1986bobo$
1986bo$1985b2o2bo$1984b2o3bo$1988b2o$1984b2ob2o$1985bobo$1967bo$1966bo
26b2o2$1993b2obo$1994bobo6$1957bo$1956bo11$1950bo$1950b2o$1951bo2$
1950bobo$1951b2o$1951b2o2bo$1952b3o$1953bo4$1948bobo$1948bo$1947b2o2bo
$1946b2o3bo$1950b2o$1946b2ob2o$1947bobo2$1955b2o2$1955b2obo$1956bobo
47$1682bo$1680b2o$1680b2o16$1674b2o$1673bob2o$1674bobo$1675bo91$1624b
2o$1623bob2o$1557bo66bobo$1555b2o68bo$1555b2o$1631b2o2$1562bo68b2obo$
1561b2o69bobo$1560bob2o$1561bobo$1562bo119$1443bo$1441b2o$1441b2o116$
1317bo$1315b2o$1315b2o86$1236bo$1234b2o$1234b2o24$1484bo2$1484b3o$
1484b3o$1487bo$1485bobo$1486b2o$1486b2o2bo$1487b3o$1488bo$1474bo$1473b
o2$1483bobo$1483bo$1482b2o2bo$1481b2o3bo$1485b2o$1481b2ob2o$1482bobo$
1464bo$1463bo26b2o2$1490b2obo$1146bo344bobo$1144b2o$1144b2o4$1454bo$
1453bo11$1447bo$1447b2o$1448bo2$1447bobo$1448b2o$1448b2o2bo$1449b3o$
1450bo4$1445bobo$1445bo$1444b2o2bo$1443b2o3bo$1447b2o$1443b2ob2o$1444b
obo2$1452b2o2$1452b2obo$1453bobo53$1358bo2$1358b3o$1358b3o$1361bo$
1359bobo$1360b2o$1360b2o2bo$1361b3o$1362bo$1348bo$1347bo2$1357bobo$
1357bo$1356b2o2bo$1355b2o3bo$1359b2o$1355b2ob2o$1356bobo$1338bo$1337bo
26b2o2$1050bo313b2obo$1048b2o315bobo$1048b2o5$1328bo$1327bo11$1321bo$
1321b2o$1322bo2$1321bobo$1322b2o$1322b2o2bo$1323b3o$1324bo4$1319bobo$
1319bo$1318b2o2bo$1317b2o3bo$1321b2o$1317b2ob2o$1318bobo2$1326b2o2$
1326b2obo$1327bobo23$1277bo2$1277b3o$1277b3o$1280bo$1278bobo$1279b2o$
1279b2o2bo$1280b3o$1281bo$1267bo$1266bo2$1276bobo$1276bo$1275b2o2bo$
1274b2o3bo$1278b2o$1274b2ob2o$1275bobo$1257bo$1256bo26b2o2$1283b2obo$
1284bobo6$1247bo$1246bo11$1240bo$1240b2o$1241bo2$1240bobo$1241b2o$
1241b2o2bo$1242b3o$1243bo2$954bo$952b2o$952b2o284bobo$1238bo$1237b2o2b
o$1236b2o3bo$1240b2o$1236b2ob2o$1237bobo2$1245b2o2$1245b2obo$1246bobo
45$1187bo2$1187b3o$1187b3o$1190bo$1188bobo$1189b2o$1189b2o2bo$1190b3o$
1191bo$1177bo$1176bo2$1186bobo$1186bo$1185b2o2bo$1184b2o3bo$1188b2o$
1184b2ob2o$1185bobo$1167bo$1166bo26b2o2$1193b2obo$1194bobo6$1157bo$
1156bo11$1150bo$1150b2o$1151bo2$1150bobo$1151b2o$1151b2o2bo$1152b3o$
1153bo4$1148bobo$1148bo$1147b2o2bo$1146b2o3bo$1150b2o$1146b2ob2o$1147b
obo2$1155b2o2$1155b2obo$1156bobo22$1091bo2$1091b3o$1091b3o$1094bo$
1092bobo$1093b2o$1093b2o2bo$1094b3o$1095bo$1081bo$1080bo2$1090bobo$
1090bo$1089b2o2bo$1088b2o3bo$1092b2o$1088b2ob2o$1089bobo$1071bo$1070bo
26b2o2$1097b2obo$1098bobo6$1061bo$1060bo11$1054bo$1054b2o$1055bo2$
1054bobo$1055b2o$1055b2o2bo$1056b3o$1057bo4$1052bobo$1052bo$1051b2o2bo
$1050b2o3bo$1054b2o$1050b2ob2o$1051bobo2$1059b2o2$1059b2obo$1060bobo
22$995bo2$995b3o$995b3o$998bo$996bobo$997b2o$997b2o2bo$998b3o$999bo$
985bo$984bo2$994bobo$994bo$993b2o2bo$992b2o3bo$996b2o$992b2ob2o$993bob
o$975bo$974bo26b2o2$1001b2obo$1002bobo6$965bo$964bo11$958bo$958b2o$
959bo2$958bobo$959b2o$959b2o2bo$960b3o$961bo4$956bobo$956bo$955b2o2bo$
954b2o3bo$958b2o$954b2ob2o$955bobo2$963b2o2$963b2obo$964bobo38$478bo$
480bo$474bo2$475bo2$463bo14b3o$462bo2bo$477bo5bo$463b2o13bo4bo$481bo$
466bo$468bo3$447bo$446bobo$417bo$416b2o29bobo7bo$415bob3o28b3o5bo2bo$
416bobo14bo$417bo14b3o$423bo6bo2bob2o21b3o$423b3o11b2o20b2o14bo$423bo
7bo27b3o12bobo$436b2ob2o34b2o$423bo3bo10bobo34b3o$421b2obo35bo2bo$420b
ob2o2bo35bo13b3o$421bobo$422bo4$494bobo$448b2o45b2o$449bo45b3o$448bo2b
o$449bobo44b3o$449bo2bo$452bo$453bo$452b3o$453bo$450bo63bobo$452bo62b
2o$515b3o2$448bo67b3o$446bo$451bo$447bo3bo$445b2obob3o$444bob2o$445bob
o86bobo$446bo88b2o$455bo79b3o$454b2o$453bob3o78b3o$454bobo$455bo110b2o
$565bob2o$566bobo$567bo$554bobo$555b2o$555b3o2$556b3o72$698bo$696b2o$
696b2o12$358bo$360bo$354bo2$355bo2$343bo14b3o$342bo2bo$357bo5bo$343b2o
13bo4bo$361bo$346bo$348bo3$327bo$326bobo$297bo$296b2o29bobo7bo$295bob
3o28b3o5bo2bo$296bobo14bo$297bo14b3o$303bo6bo2bob2o21b3o$303b3o11b2o
20b2o14bo$303bo7bo27b3o12bobo$316b2ob2o34b2o$303bo3bo10bobo34b3o$301b
2obo35bo2bo$300bob2o2bo35bo13b3o$301bobo$302bo4$374bobo$328b2o45b2o$
329bo45b3o$328bo2bo$329bobo44b3o$329bo2bo$332bo$333bo$332b3o$333bo$
330bo63bobo$332bo62b2o$395b3o2$328bo67b3o$326bo$331bo$327bo3bo$325b2ob
ob3o$324bob2o$325bobo$326bo$335bo$334b2o$333bob3o$334bobo$335bo20$322b
o2$324bo$322b2o$322b2o2bo6$327b2o2$327b2obo$328bobo5$319bo10bo$332bo$
321bo$319b2o$319b2o2bo5$322b2o2$322b2obo$323bobo10$538bo$536b2o$536b2o
94$66bo$65b2o$64bob3o$65bobo$66bo4$72bo2bo$72b2o$70b2ob3o$69bob2o$70bo
bo$71bo19$96bobo$96bo$96b2o$94b2ob2o$93bob2o$94bobo$95bo$104bo$103b2o$
102bob3o$103bobo$104bo3$370bo$368b2o$368b2o3$377b2o$376bob2o$377bobo$
378bo28$95bo21bo$94b4o15bo$91b2o3bob2o15bo2bo2bo$90b2obo5bo11b2o7bo$
89bob3o6bo15bo4bo$90bobo18b2obo$91bo20bobo$100bo$146bo$138bo6bo$95bo
43bo$99bo18bo$97bo19b2o$95b2o19bob3o$95b2o2bo17bobo32bo$118bo32bo$139b
o$101bo20bo17bo$101bo22bo9$91bo20bo$80bo10bo22bo$79b2o37bo$78bob3o36bo
$79bobo36b2o$80bo$101bo$64bo$63b2o37bo77bo59bo$62bob3o34bo3bo$63bobo
14bo25b2o74bo59bo$64bo14b3o23bobobo70b2o58b2o$70bo6bo2bob2o28b2o66b2o
2bo55b2o2bo$70b3o11b2o20bo3bo3b2o$70bo7bo29bo3bo$83b2ob2o20bo4b2ob2o$
70bo3bo10bobo27bobo$68b2obo$67bob2o2bo$68bobo16bo$69bo16bo9$77bo$76bo
9$67bo$66bo9$57bo$56bo9$47bo$46bo3$292b2o2bo$293b2o$296bo2$296bo2$37bo
$2o17bo16bo42bo$5b2o12bo$2obo17bo$bobo5bo9bo2b2o52bo$6bo2b2o6b3o35bo$
10bo6bo2b2obo$19bo5bo29bo$9bo17b2o28b2o$6b2o17bo2b2o25bo2b2o$5b2o3bo$
9bo$5b2ob2o$6bobo66bo$73b2o227b2o2bo$73b2o228b2o$306bo2$306bo2$337bo7$
329bo$328bo$328bo$333bo$329bo2bo$331b4o$333bo$312b2o$313b2o$316b2o$
322bobo$321b4o$317bo7bo$322bo$318bo2bob3o$324bo$325bo$322bo2$310bo12bo
$278bo26bo3bo2bo10bo$304bo4b2ob2o$280bo$278b2o24bo5bo3bo$278b2o2bo21bo
bo$312bo$315b2o$290bo$284b2obo2bobo22bo$286b2o2bobo22b3o$286bo5bo25bo$
285bo32b2o$283b2o3bo$283b2o$317bo$321bo$317b2obo12$311b3o2$312b3o2$
309bo$312b2o$311b2o$310bo2bo$308b2o3bo$308b2o$317bo2$319bo$317b2o$317b
2o2bo!
I finally got around to updating the 22daHistory rule so it really is 22daHistory instead of Historical22da. I also updated the colors so that the rule would be easier to work with.

Code: Select all

@RULE 22daHistory


@TABLE

n_states:6
neighborhood:hexagonal
symmetries:rotate6reflect
var a={0,1,2,3,4,5}
var b={a}
var c={a}
var d={a}
var e={a}
var nl = {0,2,4}

var nl1 = {nl}
var nl2 = {nl}
var nl3 = {nl}
var nl4 = {nl}
var nl5 = {nl}
var nl6 = {nl}
var f={1,5}
var g={f}
var h={f}
1,a,b,c,d,e,3,0
4,f,g,nl1,nl2,nl3,nl4,5
4,f,nl1,g,nl2,nl3,nl4,5
4,f,nl1,nl2,g,nl3,nl4,5
nl,f,g,nl1,nl2,nl3,nl4,1
nl,f,nl1,g,nl2,nl3,nl4,1
nl,f,nl1,nl2,g,nl3,nl4,1
1,nl1,nl2,nl3,nl4,nl5,nl6,2
1,f,nl1,nl2,nl3,nl4,nl5,2
1,f,g,h,a,b,c,2
1,f,g,c,h,a,b,2
1,f,c,g,b,h,a,2
1,f,nl1,g,nl2,nl3,nl4,2
5,nl1,nl2,nl3,nl4,nl5,nl6,4
5,f,nl1,nl2,nl3,nl4,nl5,4
5,f,g,h,a,b,c,4
5,f,g,c,h,a,b,4
5,f,c,g,b,h,a,4
5,f,nl1,g,nl2,nl3,nl4,4
@COLORS
1 0   255 0
2 255 0   255
3 128 128 128
4 255 255 255
5 128 255 128
In 22darealDLA, here is a p103, probably the highest of all the prime odd periods among explicitly constructed oscillators. Interestingly enough, it was created by perturbing a p34.

Code: Select all

x = 11, y = 11, rule = 22darealDLA
5.B$4.B$3.2B$2.B3.A$.2B.A$B4.2A2.A$3.A.A2.A$10.A$6.A.A$5.A3.2A$3.B3.A
.A!

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: 22da (Hexagonal Grid)

Post by c0b0p0 » June 18th, 2014, 1:51 pm

c0b0p0 wrote:Although cleaning the rake should be easy, after at least thirty-five clever tricks, I could only get the population of the rake down to 1,790! This certainly doesn't seem like a very large improvement over the p960 titan (yet).
Using some more tricks, which included minimizing the population of the rakes, I got the population of the rake down to a mere 987! I do not think this record can be improved upon by a single cell.

Code: Select all

x = 2384, y = 2369, rule = 22da
2371b2o$2370bob2o$2371bobo$2372bo7$2381bo$2379b2o$2379b2o2bo48$2335bo$
2333b2o$2333b2o$2293b2o$2292bob3o45bo$2293bobo45b2o$2294bo45bob2o$
2341bobo$2342bo3$2300bo$2298b2o$2298b2o17$2260bo$2258b2o$2258b2o48b2o$
2307bob2o$2308bobo$2309bo2$2315b2o2$2315b2obo$2316bobo53$2194b2o2$
2194b2obo$2195bobo32$2274b2o$2140bo132bob3o$2138b2o134bobo$2138b2o135b
o7$2284bo$2282b2o$2282b2o26$2262bobo$2262bo$2261b2o2bo$2260b2o3bo$
2264b2o$2260b2ob2o$2261bobo2$2269b2o2$2269b2obo$2270bobo20$2204bo2$
2206bo$2204b2o$2204b2o$2214b2o2$2214b2obo$2215bobo52$2154b2o$2153bob3o
$2154bobo$2155bo7$2164bo$2162b2o$2162b2o26$2142bobo$2142bo$2141b2o2bo$
2140b2o3bo$2144b2o$2140b2ob2o$2141bobo$2047bo$2045b2o102b2o$2045b2o$
2149b2obo$2150bobo3$2050b2o2$2050b2obo$2051bobo8$1946bo$1944b2o$1944b
2o186$1960b2o$1959bob3o$1960bobo$1961bo7$1970bo$1968b2o$1968b2o26$
1948bobo$1948bo$1947b2o2bo$1946b2o3bo$1950b2o$1946b2ob2o$1947bobo2$
1955b2o2$1955b2obo$1956bobo47$1682bo$1680b2o$1680b2o16$1674b2o$1673bob
2o$1674bobo$1675bo91$1624b2o$1623bob2o$1557bo66bobo$1555b2o68bo$1555b
2o$1631b2o2$1562bo68b2obo$1561b2o69bobo$1560bob2o$1561bobo$1562bo119$
1443bo$1441b2o$1441b2o116$1317bo$1315b2o$1315b2o86$1236bo$1234b2o$
1234b2o40$1457b2o$1456bob3o$1457bobo$1458bo5$1146bo$1144b2o$1144b2o
321bo$1465b2o$1465b2o26$1445bobo$1445bo$1444b2o2bo$1443b2o3bo$1447b2o$
1443b2ob2o$1444bobo2$1452b2o2$1452b2obo$1453bobo69$1331b2o$1330bob3o$
1331bobo$1332bo4$1050bo$1048b2o$1048b2o$1341bo$1339b2o$1339b2o26$1319b
obo$1319bo$1318b2o2bo$1317b2o3bo$1321b2o$1317b2ob2o$1318bobo2$1326b2o
2$1326b2obo$1327bobo39$1250b2o$1249bob3o$1250bobo$1251bo7$1260bo$1258b
2o$1258b2o24$954bo$952b2o$952b2o284bobo$1238bo$1237b2o2bo$1236b2o3bo$
1240b2o$1236b2ob2o$1237bobo2$1245b2o2$1245b2obo$1246bobo61$1160b2o$
1159bob3o$1160bobo$1161bo7$1170bo$1168b2o$1168b2o26$1148bobo$1148bo$
1147b2o2bo$1146b2o3bo$1150b2o$1146b2ob2o$1147bobo2$1155b2o2$1155b2obo$
1156bobo38$1064b2o$1063bob3o$1064bobo$1065bo7$1074bo$1072b2o$1072b2o
26$1052bobo$1052bo$1051b2o2bo$1050b2o3bo$1054b2o$1050b2ob2o$1051bobo2$
1059b2o2$1059b2obo$1060bobo38$968b2o$967bob3o$968bobo$969bo7$978bo$
976b2o$976b2o26$956bo$956bo$955b2o2bo$954b2o3bo$958b2o$954b2ob2o$955bo
bo2$963b2o2$963b2obo$964bobo55$417bo$416b2o$415bob3o$416bobo$417bo$
423bo$423b3o$423bo2$423bo$421b2obo$420bob2o2bo$421bobo$422bo19$446bo$
451bo$447bo3bo$445b2obob3o$444bob2o$445bobo$446bo$455bo$454b2o$453bob
3o$454bobo$455bo110b2o$565bob2o$566bobo$567bo77$698bo$696b2o$696b2o29$
297bo$296b2o$295bob3o$296bobo$297bo$303bo$303b3o$303bo2$303bo$301b2obo
$300bob2o2bo$301bobo$302bo19$326bo$331bo$327bo3bo$325b2obob3o$324bob2o
$325bobo$326bo$335bo$334b2o$333bob3o$334bobo$335bo22$324bo$322b2o$322b
2o6$327b2o2$327b2obo$328bobo7$321bo$319b2o$319b2o2bo5$322b2o2$322b2obo
$323bobo10$538bo$536b2o$536b2o95$65b2o$64bob2o$65bobo$66bo4$72bo2bo$
72b2o$70b2ob3o$69bob2o$70bobo$71bo19$96bobo$96bo$96b2o$94b2ob2o$93bob
2o$94bobo$95bo$104bo$103b2o$102bob2o$103bobo$104bo3$370bo$368b2o$368b
2o3$377b2o$376bob2o$377bobo$378bo31$90b2o19b2o$89bob2o$90bobo18b2obo$
91bo20bobo2$146bo$138bo6bo$95bo43bo2$97bo19b2o$95b2o19bob2o$95b2o20bob
o32bo$118bo32bo$139bo$140bo11$80bo$79b2o$78bob2o$79bobo$80bo$101bo$64b
o$63b2o37bo77bo59bo$62bob3o34bo3bo$63bobo14bo25b2o74bo59bo$64bo14b3o
23bobobo70b2o58b2o$70bo6bo2bob2o28b2o66b2o2bo55b2o2bo$70b3o11b2o20bo3b
o3b2o$70bo7bo29bo3bo$83b2ob2o20bo4b2ob2o$70bo3bo10bobo27bobo$68b2obo$
67bob2o2bo$68bobo16bo$69bo16bo9$77bo$76bo9$67bo$66bo9$57bo$56bo9$47bo$
46bo9$37bo$2o17bo16bo$7bo11bo$2obo17bo$bobo5bo9bo2b2o$6bo2b2o6b3o$10bo
6bo2b2obo$19bo5bo$9bo17b2o$6b2o17bo2b2o$5b2o3bo$9bo$5b2ob2o$6bobo66bo$
73b2o$73b2o19$312b2o$313b2o$316bo10$310bo$309bo2bo$309b2ob2o$280bo$
278b2o30bo3bo$278b2o2bo$312bo$315b2o$290bo$284b2obo2bobo22bo$286b2o2bo
bo22b3o$286bo5bo25bo$285bo32b2o$283b2o3bo$283b2o15$311b3o2$312b3o2$
309bo$312b2o$311b2o$310bo2bo$308b2o3bo$308b2o$317bo2$319bo$317b2o$317b
2o!
While shaving off much of the population, I discovered an interesting four-glider synthesis.

Code: Select all

x = 12, y = 49, rule = 22da
2b2o2$2b2obo$3bobo11$o$bo30$8b2o$9bo$8bo2bo$9bobo!

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: 22da (Hexagonal Grid)

Post by c0b0p0 » June 20th, 2014, 2:24 pm

Here's my way of making a backrake of the same period as the siderake.

Code: Select all

x = 5126, y = 5126, rule = Marked22da
2371.A2$2373.A$2371.2A$2371.2A2.A7$2379.2A2$2379.2A.A$2380.A.A47$
2333.2A2$2293.A39.2A.A$2334.A.A$2295.A45.A$2293.2A$2293.2A2.A45.A$
2341.2A$2341.2A2.A2$2315.A$2298.2A$2316.A$2298.2A.A$2299.A.A14$2260.A
2$2258.2A2.A$2268.3A37.A$2258.2A.A5.A2.A$2259.A.A5.A42.A$2267.2A39.2A
$2308.2A2.A2$2317.A$2316.2A$2315.A.3A$2316.A.A$2317.A16$2264.2A$2265.
A$2264.A2.A$2265.A.A7$2288.A2$2289.A$2292.2A2$2293.A.A.A$2295.2A9$
2206.A$2203.3A2.A$2202.A.A.A$2202.2A.A2.2A24.A$2204.A.3A.A22.A$2203.
3A.A56.2A$2205.A2.2A24.A30.A$2208.A.A53.A2.A$2207.2A3.A52.A.A$2206.A
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1944.2A$4747.B$1944.2A.A$1945.A.A2$1994.A$1993.A2$1994.A4$1994.A$
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$775.A183.A$777.A180.A2.A$776.A182.A.A2$737.A$736.A3$971.2A$968.A5.A$
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$296.2A9.A5.A.2A3.A15.A4.A.A$296.2A2.A5.2A6.A.A25.2A$305.A.2A7.A2.2A
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29.A29.A29.A$105.A2716.A17.2A28.2A28.2A28.2A28.2A$103.2A84.A48.3A
2578.2A17.A2.2A25.A2.2A25.A2.2A25.A2.2A25.A2.2A$103.2A2.A75.2A4.2A47.
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140.2A2449.A.A145.A49.A$227.A2.A.A2735.A46.2A$189.A40.2A.A134.2A.A
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241.A2552.2A$174.A.A63.A.A2551.2A2.A$169.A5.2A63.2A.A$161.A6.A$162.A
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94.A22.A17.A2.2A7.A8.2A.A100.2A.A2496.A23.A6.2A28.2A28.2A28.2A28.2A
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25.3A.A25.3A.A25.3A.A25.3A.A$79.A42.A13.A3.A16.A38.A29.A35.2A2498.2A.
A26.A.A27.A.A27.A.A27.A.A27.A.A27.A.A27.A.A$121.2A12.2A2.A.A56.A26.A
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25.5A61.A.A2528.2A224.2A$105.A28.A26.2A2.2A51.A2.A7.2A2753.2A2.A$63.A
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102.A.A.A3.A2.A$63.2A9.A5.A.2A3.A20.3A69.2A28.2A3.2A6.A$63.2A2.A5.2A
6.A.A32.A.A96.3A18.A.A$72.A.2A7.A2.2A31.A60.2A.A26.2A.A25.A$73.A11.A.
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2A958.2A958.2A$75.A11.A.2A2.A.A26.2A.A116.2A.A955.3A.A955.3A.A$71.A
17.2A4.A27.A.A117.A.A957.A.A957.A.A$71.A19.3A.A29.A119.A959.A959.A$
70.A18.A180.A.A$68.2A3.A196.2A.A$68.2A$272.2A6$80.A$79.A9$70.A$69.A
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$333.A$312.2A21.A$314.A3$318.A3$322.A.A2.A$323.A.A.A$323.A3.3A$327.3A
$329.A$311.A$311.3A$311.2A2.A$313.A2.2A$315.3A$278.2A37.A2$278.2A.A$
279.A.A13.A25.A$294.A$293.2A26.A$294.4A$285.3A7.2A2.2A$284.2A3.A7.A2.
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312.A.A$313.2A$313.2A2.A$314.3A$315.A4$310.A.A$310.A$309.2A2.A$308.2A
3.A$312.2A$308.2A.2A$309.A.A2$317.2A2$317.2A.A$318.A.A373$5111.2A2$
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$4923.2A.A7.2A$4924.A.A4.2A3.A$4932.A.A.A$4937.A2$4933.A4.A$4938.A$
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2A28.2A28.2A28.2A28.2A28.2A28.2A28.2A$3614.A11.A2.A$3612.A19.A.2A26.A
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269.A$3518.A.A4.A.A6.A.A2.2A302.2A$3519.A6.A2.A11.A268.A33.A$3528.A6.
5A3.2A296.A2.A$3528.2A7.A2.2A3.2A28.2A28.2A28.2A28.2A28.2A28.2A28.2A
28.2A28.2A24.3A$3527.A11.A2.A$3525.A19.A.2A26.A.2A26.A.2A26.A.2A26.A.
2A26.A.2A26.A.2A26.A.2A26.A.2A25.2A.2A$3525.A20.A.A27.A.A27.A.A27.A.A
27.A.A27.A.A27.A.A27.A.A27.A.A27.A.A$3523.2A.A$3522.A.2A3.A315.A$
3523.A.A316.2A$3524.A322.A$3842.2A.A$3843.A.A9$3713.A59.A$3709.A5.A
53.A5.A$3710.A3.A55.A3.A20$3766.A$3765.A9$3726.2A2$3750.A$3749.A3.2A
24$3473.2A$3467.2A6.2A$3474.A3.A$3467.2A.A7.2A243.2A$3468.A.A4.2A3.A$
3476.A.A.A$3481.A2$3477.A4.A$3482.A$3479.A$3477.2A$3468.A8.2A2.A$
3432.A34.A$3431.2A3.2A11.A$3430.A.3A3.3A11.A$3431.A.A4.A.A6.A.A2.2A
272.2A$3432.A6.A2.A11.A272.A$3441.A6.5A3.2A266.A2.A$3441.2A7.A2.2A3.
2A28.2A28.2A28.2A28.2A28.2A28.2A28.2A54.3A$3440.A11.A2.A$3438.A19.A.
2A26.A.2A26.A.2A26.A.2A26.A.2A26.A.2A26.A.2A26.A.2A21.A$3438.A20.A.A
27.A.A27.A.A27.A.A27.A.A27.A.A27.A.A27.A.A17.A5.A$3436.2A.A250.A3.A$
3435.A.2A3.A285.A$3436.A.A286.2A$3437.A292.A$3725.2A.A$3726.A.A14$
3639.A$3640.A8.A36.A$3648.A36.A$3650.A17$3632.A2$3633.A19$3646.A$
3645.A$3531.A$3530.A5$3533.2A2$3544.A$3545.A3.A$3548.A5$3616.A2$3532.
A76.A7.A$3610.A5.A$3533.A9$3556.2A9$3542.A$3606.A$3543.A61.A8$3593.A$
3566.2A24.A$3594.A8$3552.A2$3553.A19$3566.A$3565.A16$3536.A2$3529.A7.
A$3530.A5.A19$3479.A$3480.A8.A36.A$3488.A36.A$3490.A17$3472.A2$3473.A
19$3486.A$3485.A16$3396.A59.A2$3389.A7.A51.A7.A$3390.A5.A53.A5.A18$
3250.2A$3382.A$3250.2A.A192.A$3251.A.A129.A61.A8$3433.A$3406.2A24.A$
3434.A3$3261.2A2.A$3262.2A$3265.A2$3265.A$3392.A2$3393.A19$3406.A$
3405.A16$3376.A2$3369.A7.A$3370.A5.A14$3291.2A2.A$3292.2A$3295.A2$
3295.A$3319.A$3320.A8.A36.A$3328.A36.A$3330.A17$3312.A2$3313.A11$
3209.2A8$3326.A$3325.A$3211.A$3210.A4$3330.A$3213.2A$3332.A$3224.A
105.2A$3225.A3.A100.2A2.A$3228.A2$3321.2A2.A$3322.2A$3325.A$3296.A$
3325.A$3212.A76.A7.A$3290.A5.A$3213.A9$3236.2A2$3121.A205.A$3121.3A
202.A$3125.A2.A202.2A2.A$3124.2A3.A202.2A$3122.2A3.A207.A$3118.A4.A.
2A.A$3116.2A2.A4.A.2A206.A$3121.A4.2A94.A59.A$3116.2A.A5.2A.A$3117.A.
A103.A59.A5$3269.A$3271.A3$3246.2A4$3341.2A2.A$3342.2A$3345.A2$3345.A
$3232.A2$3233.A9$3256.2A4$3351.2A2.A$3288.A63.2A$3288.A66.A2$3355.A$
3242.A2$3243.A13$3361.2A2.A25.A$3362.2A26.A.A$3365.A28.A$3216.A172.A$
3365.A23.A$3209.A7.A174.2A.A$3210.A5.A176.A6$3384.A$3383.A2$3385.3A$
3365.A.2A$3366.A3.A$3247.A117.3A2.A15.A.A$3246.A124.A2.A$3367.A4.3A.A
$3368.A.3A4.A$3370.A2.A$3164.A209.A2.3A$3164.2A.A206.A3.A$3159.A7.2A
33.A130.A42.2A.A$3160.A6.3A173.A10.2A$3203.A131.A15.A.2A2.A15.A$3333.
2A9.A5.A.2A3.A16.A$3333.2A2.A5.2A6.A.A24.2A$3342.A.2A7.A2.2A19.A2.A$
3343.A11.A.3A21.A$3343.A2.A6.A.A6.2A17.A$3345.A15.3A.A$3341.A21.A.2A
12.A$3341.A23.A.2A$3340.A$3338.2A3.A23.3A$3338.2A28.2A$3368.A2$3370.A
$3370.A$3370.2A.2A$3371.A$3152.A216.2A4.A$3374.2A$3153.A215.A.4A$
3373.A$3372.A.A$3373.A4$3369.A$3368.A2.A$3176.2A193.3A$3364.A4.2A.A2.
A$3371.A$3366.2A$3365.A$3363.2A$3363.2A$3372.A2$3162.A211.A$3372.2A$
3163.A208.2A2.A13$3188.A2.A$3189.A$3191.A$3076.A59.A52.A$3191.A$3069.
A7.A51.A7.A$3070.A5.A53.A5.A12$3167.A$3166.A$3171.A25.2A2.A$3170.A27.
2A$2969.A231.A$3148.A$2971.A177.A51.A$2969.2A91.A59.A25.2A$2969.2A2.A
$3063.A59.A5$2974.2A2$2974.2A.A$2975.A.A135.2A$3086.2A4$3146.A60.2A2.
A25.A$3147.A60.2A26.A.A$3211.A28.A$3235.A$3211.A23.A$3072.A165.2A.A$
3239.A$3073.A5$3230.A$3229.A2$3231.3A$3096.2A113.A.2A$3124.A87.A3.A$
3123.A2.A84.3A2.A15.A.A$3217.A2.A$3213.A4.3A.A$3214.A.3A4.A$3216.A2.A
$3108.A111.A2.3A$3109.A110.A3.A$3082.A25.2A69.A42.2A.A$2817.A371.A10.
2A$2819.A263.A97.A15.A.2A2.A15.A$2813.A328.A36.2A9.A5.A.2A3.A16.A$
3179.2A2.A5.2A6.A.A24.2A$2814.A328.A44.A.2A7.A2.2A19.A2.A$3189.A11.A.
3A21.A$2817.A.A327.A41.A2.A6.A.A6.2A17.A$3146.2A43.A15.3A.A$2802.3A
12.2A.2A323.A.3A37.A21.A.2A12.A$2803.2A13.A2.A324.A.A38.A23.A.2A$
2803.4A13.A326.A38.A$3130.A53.2A3.A23.3A$2805.A323.2A23.2A28.2A28.2A$
2806.A321.A.3A81.A$2804.2A300.A22.A.A22.2A.A$2806.A300.A22.A5.2A17.A.
A58.A$2787.2A2.A.A422.A$2755.2A30.A268.A79.2A.A76.2A.2A$2787.2A348.A.
A77.A$2755.2A.A50.A239.A7.A157.2A4.A$2756.A.A13.A23.3A251.A5.A163.2A$
2771.A25.2A416.A.4A$2770.2A25.A.A419.A$2771.4A37.A405.A.A$2762.3A7.2A
2.2A20.A.A12.A.A403.A$2761.2A3.A7.A2.2A20.2A12.A2.A$2760.2A37.3A13.A$
2764.3A48.2A$2760.2A.2A450.A$2761.A.A450.A2.A$3217.3A$3210.A4.2A.A2.A
$3087.A129.A$3086.A13.A111.2A$2833.A.A255.A8.A110.A$2833.A2.A253.A
118.2A$2788.A46.A373.2A$2788.2A45.2A169.A61.A149.A$2789.A215.A63.A$
2999.A42.A25.2A150.A$2788.A.A209.A5.A211.2A$2789.2A252.A174.2A2.A$
2789.2A2.A$2790.3A$2791.A61.A.A$2853.A2.A$2855.A$2855.2A$2786.A.A$
2786.A$2785.2A2.A$2784.2A3.A$2788.2A$2784.2A.2A$2785.A.A85.A.A190.A$
2873.A2.A190.A$2793.2A80.A$2875.2A$2793.2A.A$2794.A.A195.A2$2993.A3$
2893.A.A$2893.A2.A$2895.A$2895.2A3$3016.2A2$3043.A$3045.A14.A$2913.A.
A144.A$2913.A2.A$2915.A$2915.2A111.A$3029.A$3002.A25.2A2$3003.A3$
2933.A.A$2933.A2.A$2935.A$2935.2A5$2897.3A2$2898.3A52.A.A70.A$2899.2A
52.A2.A70.A$2955.A.A20.2A$2900.2A53.2A.2A18.A.2A$2900.3A75.A2.A$2903.
A75.3A7.A$2988.A$2903.A87.A$2989.2A.A$2993.A$2973.A.A15.A.A$2973.A2.A
$2975.A$2908.A66.2A$2908.2A$2911.2A$2909.A66.2A$2910.2A.2A$2912.A.A
92.A$2905.A100.A13.A$2904.A106.A8.A$3010.A$2905.A2.A$2907.A80.A$2906.
2A81.A$2908.A53.A25.2A$2903.A.A.A$2903.2A.A56.A$2903.3A5.A$2906.A4.A$
2901.2A2.A2$2901.2A.A$2902.A.A3$2926.2A4$2986.A$2987.A2$2948.2A2$
2912.A28.2A2$2913.A27.A.2A$2942.A.A24.A$2968.A4$2979.2A2.A$2975.A4.2A
$2974.A8.A$2936.2A$2983.A2$2980.A$2901.2A63.A13.A$2967.A5.A$2901.2A.A
69.A$2902.A.A43.A$2949.A$2922.A25.2A2$2923.A31.2A$2955.A$2956.A4$
2989.2A2.A$2955.A34.2A$2954.A38.A2$2908.A84.A$2907.4A$2909.A50.A$
2907.A.A36.A13.A$2908.2A37.A5.A$2908.3A3.A.A37.A2$2915.2A$2914.A$
2913.4A$2915.A$2929.A$2928.A4$2999.2A2.A$2935.A64.2A$2934.A68.A$2915.
A$2914.A2.A85.A2$2919.A20.A$2926.A13.A$2916.A10.A5.A$2911.2A21.A$
2910.A2.2A3.A$2912.A.2A$2911.A3.2A$2911.A2.A.A$2912.3A$2909.A2.A.2A.A
114.A$2908.A5.A.A114.A$3030.2A.2A$3030.A2.4A$3031.A.A3.A$3009.2A2.A
17.A.A.A.2A.2A$2919.A.A88.2A21.2A$3013.A18.A.2A3.A$2918.2A119.A$2918.
2A2.A90.A25.A$2897.3A19.A.2A115.A2$2898.3A$2899.2A11.2A13.A$2912.A.A
14.A$2900.2A27.A$2900.3A25.A$2903.A22.2A102.A$2915.A10.2A2.A99.A2.A$
2903.A129.A$2916.A19.A98.A$2935.2A76.A18.A$2934.A.3A74.3A.A15.A$2935.
A.A75.3A3.A$2936.A78.A$2904.2A115.A$2904.A.A110.A3.3A$2904.A2.A111.A.
3A$2905.3A72.A42.A$2985.A12.A$2908.A73.A$2907.A2.A69.2A4.A12.2A$2980.
2A2.A3.3A6.A3.A19.A.A$2996.A.A3.A18.3A$2989.3A10.A.A16.A.3A$2998.A.2A
2.A.2A14.2A.A$2927.2A57.A18.3A.A12.A$2926.2A2.A58.2A16.A.A14.A$2988.
2A19.A14.A$2926.2A.A57.A2.A$2897.3A27.A.A55.2A3.A$2915.2A18.A49.2A26.
3A$2897.A.2A$2897.A2.A36.A76.3A$2897.A37.2A78.2A$2898.2A35.2A2.A75.A$
2896.A.4A114.2A$2900.2A$2899.4A.2A111.2A$2902.A113.A2.A$2900.2A4.A
109.A3.A$2905.2A113.A$2900.A.4A3.A106.A.A3.A$2904.A114.A$2903.A.A5.A
106.A$2887.A16.A4.2A$2886.A22.2A2.A3$2829.2A69.A116.A$2899.A2.A108.2A
.A2.A.A$2829.2A.A69.3A108.2A2.A.A$2830.A.A62.A4.2A.A2.A106.A5.A$2902.
A109.A$2897.2A111.2A3.A4.A$2877.A18.A113.2A10.A$2876.A17.2A123.A$
2894.2A$2835.2A66.A117.A$2836.A182.2A$2835.A2.A66.A113.2A2.A$2836.A.A
64.2A$2903.2A2.A3$2867.A$2866.A9$2857.A$2856.A9$2847.A$2846.A2$2835.
2A$2836.A$2835.A2.A$2836.A.A3$2837.A.A$2837.2A$2837.4A2$2839.2A2$
2841.A$2840.A4.A$2839.A.2A2.A$2838.A2.A2$2839.A2.A6$2843.A$2841.A.A3$
2834.A2.A$2834.2A$2832.2A.3A$2831.A.2A$2832.A.A$2833.A$2842.A$2841.2A
$2840.A.3A$2841.A.A$2842.A!
On an unrelated note, here is an update to the known one-glider and two-glider deletions.

Code: Select all

x = 237, y = 51, rule = 22da
200bo$175b2o$202bo$175b2obo21b2o$176bobo21b2o2bo15$195bo$194b2o16bo10b
o$193bob3o24b2o$194bobo16bo7bob3o$195bo13bo5bo6bobo7bo$211bo11bo$234bo
$142bo69bo19b2o$122bo109b2o2bo$23b2o68b2o49bo$124bo17b2o50bo$23b2obo
27b2o37b2obo25b2o18b2o2bo$24bobo67bobo25b2o2bo68bo$54b2obo139bo$29bo
25bobo$2bo$31bo111bo$4bo24b2o90bo20bo15b2o$2b2o25b2o2bo108b2o14bo$2b2o
2bo115b2obo32b2o$100bobo20bo2bo18bo$61bo38b3o42bo$61b2obo$64bo$64bo5$o
26b2o$2bo24bobo$bo!

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: 22da (Hexagonal Grid)

Post by c0b0p0 » June 22nd, 2014, 5:12 pm

Here are some one-glider, two-glider, and three-glider cleanups for more exotic oscillators (just in case they occur in the debris of a puffer).

Code: Select all

x = 326, y = 52, rule = 22da
321bo2$323bo$321b2o$321b2o2bo6$195bo2$197bo$195b2o$195b2o2bo74bo2$276b
o$274b2o$274b2o2bo40b3o$320b2o$28bo$27b2o$26bob3o22b2o$3b2o22bobo$28bo
24b2obo219bo$3b2obo47bobo135bo85bo43b2o$4bobo145b2o122bo45b3o$140bo50b
obo$138b2o12b2obo121b2o$107bo45bobo35bobo86bo$56bo49b2o31bo$58bo31bo
14bob3o32bo49bo$54bo34bo16bobo32bo$59bo34bo12bo$55bo35bobo$25b2o30bo
35bo$25bobo$2o24b2o$ob2o22bobo$b2obo22b2o$3b2o10$106bo$105bo!
In the realm of trivial puffer size reductions, here is a 12-cell p16 puffer.

Code: Select all

x = 16, y = 15, rule = 22da
3bo$4bo$2o$2o8$14bo$15bo$11b2o$11b2o!

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: 22da (Hexagonal Grid)

Post by c0b0p0 » June 23rd, 2014, 9:55 pm

c0b0p0 wrote:I do not think this record can be improved upon by a single cell.
The record has now been improved on by 48 cells. If anyone improves on this record, his post will be met with great surprise and admiration.

Code: Select all

x = 2412, y = 2369, rule = 22da
2399b2o$2398bob2o$2399bobo$2400bo7$2409bo$2407b2o$2407b2o2bo48$2363bo$
2361b2o$2361b2o$2321b2o$2320bob3o45bo$2321bobo45b2o$2322bo45bob2o$
2369bobo$2370bo3$2328bo$2326b2o$2326b2o17$2288bo$2286b2o$2286b2o48b2o$
2335bob2o$2336bobo$2337bo2$2343b2o2$2343b2obo$2344bobo53$2222b2o2$
2222b2obo$2223bobo32$2302b2o$2168bo132bob3o$2166b2o134bobo$2166b2o135b
o7$2312bo$2310b2o$2310b2o26$2290bobo$2290bo$2289b2o2bo$2288b2o3bo$
2292b2o$2288b2ob2o$2289bobo2$2297b2o2$2297b2obo$2298bobo20$2232bo2$
2234bo$2232b2o$2232b2o$2242b2o2$2242b2obo$2243bobo52$2182b2o$2181bob3o
$2182bobo$2183bo7$2192bo$2190b2o$2190b2o26$2170bobo$2170bo$2169b2o2bo$
2168b2o3bo$2172b2o$2168b2ob2o$2169bobo$2075bo$2073b2o102b2o$2073b2o$
2177b2obo$2178bobo3$2078b2o2$2078b2obo$2079bobo8$1974bo$1972b2o$1972b
2o186$1988b2o$1987bob3o$1988bobo$1989bo7$1998bo$1996b2o$1996b2o26$
1976bobo$1976bo$1975b2o2bo$1974b2o3bo$1978b2o$1974b2ob2o$1975bobo2$
1983b2o2$1983b2obo$1984bobo47$1710bo$1708b2o$1708b2o16$1702b2o$1701bob
2o$1702bobo$1703bo91$1652b2o$1651bob2o$1585bo66bobo$1583b2o68bo$1583b
2o$1659b2o2$1590bo68b2obo$1589b2o69bobo$1588bob2o$1589bobo$1590bo119$
1471bo$1469b2o$1469b2o86$1345bo$1343b2o$1343b2o116$1264bo$1262b2o$
1262b2o40$1485b2o$1484bob3o$1485bobo$1486bo5$1174bo$1172b2o$1172b2o
321bo$1493b2o$1493b2o26$1473bobo$1473bo$1472b2o2bo$1471b2o3bo$1475b2o$
1471b2ob2o$1472bobo2$1480b2o2$1480b2obo$1481bobo46$1078bo$1076b2o$
1076b2o21$1359b2o$1358bob3o$1359bobo$1360bo7$1369bo$1367b2o$1367b2o26$
1347bobo$1347bo$1346b2o2bo$1345b2o3bo$1349b2o$1345b2ob2o$1346bobo2$
1354b2o2$1354b2obo$1355bobo39$1278b2o$1277bob3o$1278bobo$1279bo7$1288b
o$1286b2o$1286b2o24$982bo$980b2o$980b2o284bobo$1266bo$1265b2o2bo$1264b
2o3bo$1268b2o$1264b2ob2o$1265bobo2$1273b2o2$1273b2obo$1274bobo61$1188b
2o$1187bob3o$1188bobo$1189bo7$1198bo$1196b2o$1196b2o26$1176bobo$1176bo
$1175b2o2bo$1174b2o3bo$1178b2o$1174b2ob2o$1175bobo2$1183b2o2$1183b2obo
$1184bobo38$1092b2o$1091bob3o$1092bobo$1093bo7$1102bo$1100b2o$1100b2o
26$1080bobo$1080bo$1079b2o2bo$1078b2o3bo$1082b2o$1078b2ob2o$1079bobo2$
1087b2o2$1087b2obo$1088bobo38$996b2o$995bob3o$996bobo$997bo7$1006bo$
1004b2o$1004b2o26$984bo$984bo$983b2o2bo$982b2o3bo$986b2o$982b2ob2o$
983bobo2$991b2o2$991b2obo$992bobo55$445bo$444b2o$443bob2o$444bobo$445b
o2$451b2o$451bo2$451bo$449b2obo$448bob2o2bo$449bobo$450bo19$474bo2$
475bo3bo$473b2obob2o$472bob2o$473bobo$474bo$483bo$482b2o$481bob2o$482b
obo$483bo110b2o$593bob2o$594bobo$595bo77$726bo$724b2o$724b2o29$325bo$
324b2o$323bob2o$324bobo$325bo2$331b2o$331bo2$331bo$329b2obo$328bob2o2b
o$329bobo$330bo19$354bo2$355bo3bo$353b2obob2o$352bob2o$353bobo$354bo$
363bo$362b2o$361bob2o$362bobo$363bo7$o$bo14$352bo$350b2o$350b2o6$355b
2o2$355b2obo$356bobo7$349bo$347b2o$347b2o2bo5$350b2o2$350b2obo$351bobo
10$566bo$564b2o$564b2o95$93b2o$92bob2o$93bobo$94bo4$100bo2bo$100b2o$
98b2ob3o$97bob2o$98bobo$99bo19$124bobo$124bo$124b2o$122b2ob2o$121bob2o
$122bobo$123bo$132bo$131b2o$130bob2o$131bobo$132bo3$398bo$396b2o$396b
2o3$405b2o$404bob2o$405bobo$406bo31$118b2o19b2o$117bob2o$118bobo18b2ob
o$119bo20bobo3$166bo$123bo43bo2$125bo19b2o$123b2o19bob2o$123b2o2bo17bo
bo$146bo13$108bo$107b2o$106bob2o$107bobo$108bo$129bo$92bo$91b2o37bo$
90bob3o34bo3bo$91bobo14bo25b2o74bo$92bo14b3o23bobobo70b2o$98bo6bo2bob
2o28b2o66b2o$98b3o11b2o20bo3bo3b2o$98bo7bo29bo3bo$111b2ob2o25b2ob2o$
98bo3bo10bobo27bobo$96b2obo$95bob2o2bo$96bobo16bo$97bo16bo9$105bo$104b
o9$95bo$94bo9$85bo$84bo9$75bo$74bo9$65bo$28b2o17bo16bo$35bo11bo$28b2ob
o17bo$29bobo5bo9bo2b2o$34bo2b2o6b3o$38bo6bo2b2obo$47bo5bo$37bo17b2o$
34b2o17bo2b2o$33b2o3bo$37bo$33b2ob2o$34bobo66bo$101b2o$101b2o19$340b2o
$341b2o$344bo10$338bo$337bo2bo$337b2ob2o$308bo$306b2o30bo3bo$306b2o2bo
$340bo$343b2o2$343bo$343b3o$314bo31bo$313bo32b2o$311b2o3bo$311b2o19$
337bo2$339bo$338bo$336b2o$336b2o$345bo2$347bo$345b2o$345b2o!
The sawtooth is almost half done with an "almost-rake backrake" (without the almost-rakes dying), which can be seen in the attachment. Two copies of it can make a backrake backrake.
needscleanign.rle.gz
(27.94 KiB) Downloaded 117 times
I updated the "exotic" collection of cleanups with a one-glider p10 cleanup reaction.

Code: Select all

x = 364, y = 52, rule = 22da
321bo2$323bo$321b2o$321b2o2bo5$352b2o$195bo$352b2obo$197bo155bobo$195b
2o$195b2o2bo74bo2$276bo$274b2o$274b2o2bo40b3o$320b2o$28bo$27b2o326bo$
26bob3o22b2o300b2o$3b2o22bobo325b2o$28bo24b2obo219bo85b2o$3b2obo47bobo
135bo85bo43b2o38b2o$4bobo145b2o122bo45b3o38bo$140bo50bobo$138b2o12b2ob
o121b2o$107bo45bobo35bobo86bo13bo$56bo49b2o31bo153bo$58bo31bo14bob3o
32bo49bo$54bo34bo16bobo32bo$59bo34bo12bo$55bo35bobo$25b2o30bo35bo$25bo
bo$2o24b2o$ob2o22bobo$b2obo22b2o$3b2o10$106bo$105bo!

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