3456/278/5 (multiple state rule)
 Extrementhusiast
 Posts: 1797
 Joined: June 16th, 2009, 11:24 pm
 Location: USA
3456/278/5 (multiple state rule)
This is the thread for this specific multistate rule that I like to call "Space Station" because there are "filaments" that extend through space. Anybody found a side rake for 4x2 spaceships?
I Like My Heisenburps! (and others)
Re: 3456/278/5 (multiple state rule)
An interesting variant of "Star Wars." By the way, are there any Generations search programs?
EDIT: A diagonal pillar construction:
Adding one more 1tail on one makes a gun:
EDIT2: If this doesn't scream "omniperiodic", I don't know what does.
EDIT3: Extensible spaceship:
EDIT: A diagonal pillar construction:
Code: Select all
x = 22, y = 22, rule = 3456/278/5
3.ABCD$3.ABCD$4.ABCD$2A3.ABCD$2BA3.ABCD$2CBA3.ABCD$2DCBA3.ABCD$2.DCBA
3.ABCD$3.DCBA3.ABCD$4.DCBA3.ABCD$5.DCBA3.ABCD$6.DCBA3.ABCD$7.DCBA3.AB
CD$8.DCBA3.ABCD$9.DCBA3.ABCD$10.DCBA3.ABCD$11.DCBA3.ABCD$12.DCBA$13.D
CBA$14.DCB$15.DC$16.D!
Code: Select all
x = 22, y = 23, rule = 3456/278/5
3.ABCD$3.ABCD$4.ABCD$2A3.ABCD$2BA3.ABCD$2CBA3.ABCD$2DCBA3.ABCD$2.DCBA
3.ABCD$3.DCBA3.ABCD$4.DCBA3.ABCD$5.DCBA3.ABCD$6.DCBA3.ABCD$7.DCBA3.AB
CD$8.DCBA3.ABCD$9.DCBA3.ABCD$10.DCBA3.ABCD$11.DCBA3.ABCD$12.DCBA$13.D
CBA$14.DCBA$15.DCB$16.DC$17.D!
Code: Select all
x = 37, y = 38, rule = 3456/278/5
14.BA$12.A2.A2.A2.A2.A$11.15A$10.3A2.A2.A2.A2.3A$9.3A13.3A$8.3A15.3A$
7.3A17.3A$6.3A19.3A$5.3A21.3A$4.3A23.3A$3.3A25.3A$2.3A27.3A$.3A29.3A$
3A31.3A$.A33.A$.A33.A$3A31.3A$.A33.A$.A33.A$3A31.3A$.A33.A$.A33.A$3A
31.3A$.A33.A$.A33.A$3A31.3A$.3A29.3A$2.3A27.3A$3.3A25.3A$4.3A23.3A$5.
3A21.3A$6.3A19.3A$7.3A17.3A$8.3A15.3A$9.3A13.3A$10.3A2.A2.A2.A2.3A$
11.15A$12.A2.A2.A2.A2.A!
Code: Select all
x = 8, y = 26, rule = 3456/278/5
5.D$5.C$5.B2D$5.A2C$2.2A2.2B$2.2B2.2A$2.2C$2.2D5$3.C$2.D.D3$2.2A$.D2B
D$.D2CA$.A.A$DB4A$C.2C.B$B5A$A.2A$.4A$2.2A!
 Extrementhusiast
 Posts: 1797
 Joined: June 16th, 2009, 11:24 pm
 Location: USA
Re: 3456/278/5 (multiple state rule)
Excuse me? Could you make visuals or instruct me how to view the code?
I Like My Heisenburps! (and others)
Re: 3456/278/5 (multiple state rule)
These paste fine in Golly.Extrementhusiast wrote:Excuse me? Could you make visuals or instruct me how to view the code?
EDIT: Omniperiodic for all periods possible (due to 5 states, 5 is minimum period):
Code: Select all
x = 54, y = 13, rule = 3456/278/5
3.A2.A2.A$2.9A$.3A2.A2.3A39.A$3A.DCBA2.3A16.A11.DC7.B.A$.A7.D.A8.DC6.
B.A10.A.B5.C.3A$.A.A5.C.A8.A.B4.C.3AD7.4A4.D.3A$3AB5.B3A5.5A4.D3A.C6.
3A7.3A.D$.A.C5.A.A6.B.A8.A.B5.4A7.3A.C$.A.D7.A7.CD9.A6.B.A9.A.B$3A2.A
BCD.3A25.CD10.A$.3A2.A2.3A$2.9A$3.A2.A2.A!

 Posts: 566
 Joined: May 31st, 2009, 12:08 am
Re: 3456/278/5 (multiple state rule)
Here is a p48 sideways rake, not optimal but works:Extrementhusiast wrote:Anybody found a side rake for 4x2 spaceships?
Code: Select all
x = 65, y = 80, rule = 3456/278/5
9.B$8.CDCA$5.BC.B.B.B.A$6.2AB.AC4A$4.B2A.C.B5A$4.C.C.D.D.A.A$5.D3.C$
6.CD17$5.D$8.D3.A$3.DAD5.A.A$3.CBA.D.C2AB3A$5.ABC.BD5A$4.CDAC.C.C.A$
7.D.DB$8.C50.DCBA$56.2DAB.A.A$19.ABCD4.2A2.ABCD8.ABCD5.D2.ABC.AC4A$
19.ABCD4.2B2.ABCD2.BA4.ABCD4.C3.ABC2AC4A$27.2C5.B3CB13.D3.DA.A.A.A$
27.2D4.ABA2DCA19.ABA$35.C2.DBA$35.D3.CBA$39.DCB$40.DCA$41.DB$42.CA$
42.DB$43.C$43.D4$43.2A7.2A$35.ABA5.2B7.2BA$34.BCDCB4.2C6.ACA$33.CD2.A
.A2.D.DBA.ACB.D2A$22.DB10.B.3A2.A.B2.3A.A.ACA.A.A$22.2C9.DCA2.6A.2A2B
11A$23.CB9.BD.D.A3.ACD.3A.A.A.AC3A$23.D11.A2C4.A2B2.C.CA.AD.BDAB3A$
36.B.D4.2A2.D.D2.C.ABDAB3A$37.AC2D7.C3.D.2C.A.A$33.D4.B2C15.DCBA$33.C
4.A2B$33.BD4.2A$33.AC2D$34.B2C$34.A2B$35.2A2$8.A$6.ABCB$C6.A.A.A14.D$
DCB3.2ADAB3A12.C2D$BCD2.D.3AB3A7.D4.B2C$2.C6.A.A9.C4.A2B$6.D3.A10.BD
4.2A$21.AC2D29.DCBA$17.D4.B2C26.2DAB.A.A$22.A2B.ABCD8.ABCD5.D2.ABC.AC
4A$23.2A.ABCD8.ABCD4.C3.ABC2AC4A$47.D3.DA.A.A.A$54.ABA!
Re: 3456/278/5 (multiple state rule)
A more compact p11:knightlife wrote:Here is a p48 sideways rake, not optimal but works:Extrementhusiast wrote:Anybody found a side rake for 4x2 spaceships?A "natural" dual rake was observed and then trimmed down to get a single 4x2 spaceship sideways rake.Code: Select all
x = 65, y = 80, rule = 3456/278/5 9.B$8.CDCA$5.BC.B.B.B.A$6.2AB.AC4A$4.B2A.C.B5A$4.C.C.D.D.A.A$5.D3.C$ 6.CD17$5.D$8.D3.A$3.DAD5.A.A$3.CBA.D.C2AB3A$5.ABC.BD5A$4.CDAC.C.C.A$ 7.D.DB$8.C50.DCBA$56.2DAB.A.A$19.ABCD4.2A2.ABCD8.ABCD5.D2.ABC.AC4A$ 19.ABCD4.2B2.ABCD2.BA4.ABCD4.C3.ABC2AC4A$27.2C5.B3CB13.D3.DA.A.A.A$ 27.2D4.ABA2DCA19.ABA$35.C2.DBA$35.D3.CBA$39.DCB$40.DCA$41.DB$42.CA$ 42.DB$43.C$43.D4$43.2A7.2A$35.ABA5.2B7.2BA$34.BCDCB4.2C6.ACA$33.CD2.A .A2.D.DBA.ACB.D2A$22.DB10.B.3A2.A.B2.3A.A.ACA.A.A$22.2C9.DCA2.6A.2A2B 11A$23.CB9.BD.D.A3.ACD.3A.A.A.AC3A$23.D11.A2C4.A2B2.C.CA.AD.BDAB3A$ 36.B.D4.2A2.D.D2.C.ABDAB3A$37.AC2D7.C3.D.2C.A.A$33.D4.B2C15.DCBA$33.C 4.A2B$33.BD4.2A$33.AC2D$34.B2C$34.A2B$35.2A2$8.A$6.ABCB$C6.A.A.A14.D$ DCB3.2ADAB3A12.C2D$BCD2.D.3AB3A7.D4.B2C$2.C6.A.A9.C4.A2B$6.D3.A10.BD 4.2A$21.AC2D29.DCBA$17.D4.B2C26.2DAB.A.A$22.A2B.ABCD8.ABCD5.D2.ABC.AC 4A$23.2A.ABCD8.ABCD4.C3.ABC2AC4A$47.D3.DA.A.A.A$54.ABA!
Code: Select all
x = 30, y = 22, rule = 3456/278/5
18.C$16.BD.D$13.A.C.C.CADC.AD2.D$11.5ADB.C2BA.B3A.C$11.3AB2AC.D.B.D.A
C2AB$13.A.A4.C.CD.C.A.A$3.A3.D6.A.BAD.2B4.BA$2.A.A2.C3.C3.ABC.C.A$3AB
2ABA2.2DB3.DCABD$3ABADBA3.C4.DCB.C2D$2.A.A.2C11.AB2C$2.ABCD14.A2B$21.
2A2$18.C$16.BD.D$13.A.C.C.CADC$11.5ADB.CBA$11.3AB2AC.D.ABC$13.A.A5.DA
D$14.A3.D$21.D!

 Posts: 566
 Joined: May 31st, 2009, 12:08 am
Re: 3456/278/5 (multiple state rule)
Even more compact:Axaj wrote:A more compact p11:knightlife wrote:Here is a p48 sideways rake, not optimal but works:Extrementhusiast wrote:Anybody found a side rake for 4x2 spaceships?A "natural" dual rake was observed and then trimmed down to get a single 4x2 spaceship sideways rake.Code: Select all
x = 65, y = 80, rule = 3456/278/5 9.B$8.CDCA$5.BC.B.B.B.A$6.2AB.AC4A$4.B2A.C.B5A$4.C.C.D.D.A.A$5.D3.C$ 6.CD17$5.D$8.D3.A$3.DAD5.A.A$3.CBA.D.C2AB3A$5.ABC.BD5A$4.CDAC.C.C.A$ 7.D.DB$8.C50.DCBA$56.2DAB.A.A$19.ABCD4.2A2.ABCD8.ABCD5.D2.ABC.AC4A$ 19.ABCD4.2B2.ABCD2.BA4.ABCD4.C3.ABC2AC4A$27.2C5.B3CB13.D3.DA.A.A.A$ 27.2D4.ABA2DCA19.ABA$35.C2.DBA$35.D3.CBA$39.DCB$40.DCA$41.DB$42.CA$ 42.DB$43.C$43.D4$43.2A7.2A$35.ABA5.2B7.2BA$34.BCDCB4.2C6.ACA$33.CD2.A .A2.D.DBA.ACB.D2A$22.DB10.B.3A2.A.B2.3A.A.ACA.A.A$22.2C9.DCA2.6A.2A2B 11A$23.CB9.BD.D.A3.ACD.3A.A.A.AC3A$23.D11.A2C4.A2B2.C.CA.AD.BDAB3A$ 36.B.D4.2A2.D.D2.C.ABDAB3A$37.AC2D7.C3.D.2C.A.A$33.D4.B2C15.DCBA$33.C 4.A2B$33.BD4.2A$33.AC2D$34.B2C$34.A2B$35.2A2$8.A$6.ABCB$C6.A.A.A14.D$ DCB3.2ADAB3A12.C2D$BCD2.D.3AB3A7.D4.B2C$2.C6.A.A9.C4.A2B$6.D3.A10.BD 4.2A$21.AC2D29.DCBA$17.D4.B2C26.2DAB.A.A$22.A2B.ABCD8.ABCD5.D2.ABC.AC 4A$23.2A.ABCD8.ABCD4.C3.ABC2AC4A$47.D3.DA.A.A.A$54.ABA!
Code: Select all
x = 30, y = 22, rule = 3456/278/5 18.C$16.BD.D$13.A.C.C.CADC.AD2.D$11.5ADB.C2BA.B3A.C$11.3AB2AC.D.B.D.A C2AB$13.A.A4.C.CD.C.A.A$3.A3.D6.A.BAD.2B4.BA$2.A.A2.C3.C3.ABC.C.A$3AB 2ABA2.2DB3.DCABD$3ABADBA3.C4.DCB.C2D$2.A.A.2C11.AB2C$2.ABCD14.A2B$21. 2A2$18.C$16.BD.D$13.A.C.C.CADC$11.5ADB.CBA$11.3AB2AC.D.ABC$13.A.A5.DA D$14.A3.D$21.D!
Code: Select all
x = 22, y = 12, rule = 3456/278/5
17.A$16.BCB$14.A.A.A.BA$12.3ABAD3A$12.5AD4A$8.D5.A.C.ACA$6.C10.5A$.A.
A.DBD.DB6.A.A$6A.D.2CA2.DCBA$4ACA.D.DB3.DCBA$.A.A.2BD$2.ABCD!
Re: 3456/278/5 (multiple state rule)
A 1step advancer:
Code: Select all
x = 63, y = 108, rule = 3456/278/5
2D$2C$2B$2A3$7.2D$7.2C$7.2B$7.2A3$14.2D$14.2C$14.2B$14.2A3$21.2D$21.
2C$21.2B$21.2A3$28.2D$28.2C$28.2B$28.2A3$35.2D$35.2C$35.2B$35.2A3$42.
2D$42.2C$42.2B$42.2A$59.ABCD$59.ABCD$49.2D$49.2C$49.2B$49.2A3$56.2D$
56.2C$56.2B$56.2A2$59.ABCD$59.ABCD2$56.2A$56.2B$56.2C$56.2D3$49.2A$
49.2B$49.2C$49.2D3$42.2A$42.2B$42.2C$42.2D3$35.2A$35.2B$35.2C$35.2D3$
28.2A$28.2B$28.2C$28.2D3$21.2A$21.2B$21.2C$21.2D3$14.2A$14.2B$14.2C$
14.2D3$7.2A$7.2B$7.2C$7.2D3$2A$2B$2C$2D!
 Extrementhusiast
 Posts: 1797
 Joined: June 16th, 2009, 11:24 pm
 Location: USA
Re: 3456/278/5 (multiple state rule)
Doesn't paste in my version. What version of Golly do you use?
I Like My Heisenburps! (and others)
Re: 3456/278/5 (multiple state rule)
It should work in any version of Golly that supports the 'generations' rules (2.0 and up). I use version 2.1 (the most recent), and it works fine.Extrementhusiast wrote:Doesn't paste in my version. What version of Golly do you use?
Here's something interesting in this rule. A diagonal wave produces the Sierpiński triangle:
Code: Select all
x = 433, y = 436, rule = 3456/278/5
431.2A$430.A2B$429.ABCA$428.ABCD$427.ABCD$426.ABCD$425.ABCD$424.ABCD$
423.ABCD$422.ABCD$421.ABCD$420.ABCD$419.ABCD$418.ABCD$417.ABCD$416.AB
CD$415.ABCD$414.2ACD$414.A.A$412.5A.A$411.A.2A2CAB$410.4AC3A.D$410.3A
2CA2.B$408.6AB.2BDC$407.A.A2B2D2ACAC$406.6AB2C.D$406.3A2C2.ABDC$404.
6A2BD$403.A.A2B2D.A2CD$402.7ACD2.B$402.3A2C2.2BCD$400.6ABC2DA$399.A.A
2B2D2ABC$398.6AB2C2.ABD$398.3A2C2.AB2D2.C$396.6A2BD2.A2CD$395.A.A2B2D
.A2CD.2B$394.7ACD2.B2.2A$394.3A2C2.2BCDA$392.6ABC2D2ABC$391.A.A2B2D2A
BC3.ADC$390.6AB2C4.D2.BCD$390.3A2C2.AB2D5.ABCD$388.6A2BD2.AC6.ABC$
387.A.A2B2D.A2CD.B7.AB2D$386.7ACD2.2BCD8.A2C$386.3A2C2.2BCD.A11.2B$
384.6ABC2D2ABC12.2A$383.A.A2B2D2ABC2.AB2D$382.6AB2C4.D.A2C$382.3A2C2.
AB2D5.2B$380.6A2BD3.C5.2A$379.A.A2B2D.A2CD$378.7ACD2.B$378.3A2C2.2BCD
$376.6ABC2DA$375.A.A2B2D2ABC$374.6AB2C4.D21.D$374.3A2C2.AB2D24.C$372.
6A2BD3.C24.BD$371.A.A2B2D.A2CD26.ACD$370.7ACD2.B28.BCD$370.3A2C2.2BCD
29.ABCD$368.6ABC2DA32.ABC$367.A.A2B2D2ABC34.AB2D$366.6AB2C4.D33.A2C$
366.3A2C2.AB2D37.2B$364.6A2BD3.C37.2A$363.A.A2B2D.A2CD$362.7ACD2.B$
362.3A2C2.2BCD$360.6ABC2DA$359.A.A2B2D2ABC$358.6AB2C4.D$358.3A2C2.AB
2D$356.6A2BD2.AC$355.A.A2B2D.A2CD.B$354.7ACD2.2BCD44.D$354.3A2C2.2BCD
.A46.C$352.6ABC2D2ABC47.BD$351.A.A2B2D2ABC2.AB2D45.ACD$350.6AB2C4.D.A
2C33.D12.BCD$350.3A2C2.AB2D5.2B33.C12.ABCD$348.6A2BD3.C5.2A33.BD12.AB
C$347.A.A2B2D.A2CD42.ACD12.AB2D$346.7ACD2.B31.D12.BCD12.A2C$346.3A2C
2.2BCD32.C12.ABCD12.2B$344.6ABC2DA34.BD12.ABC12.2A$343.A.A2B2D2ABC35.
ACD12.AB2D$342.6AB2C4.D21.D12.BCD12.A2C$342.3A2C2.AB2D24.C12.ABCD12.
2B$340.6A2BD3.C24.BD12.ABC12.2A$339.A.A2B2D.A2CD26.ACD12.AB2D$338.7AC
D2.B28.BCD12.A2C$338.3A2C2.2BCD29.ABCD12.2B$336.6ABC2DA32.ABC12.2A$
335.A.A2B2D2ABC34.AB2D$334.6AB2C4.D33.A2C33.D$334.3A2C2.AB2D37.2B33.C
$332.6A2BD3.C37.2A33.BD$331.A.A2B2D.A2CD74.ACD$330.7ACD2.B76.BCD$330.
3A2C2.2BCD77.ABCD$328.6ABC2DA80.ABC$327.A.A2B2D2ABC82.AB2D$326.6AB2C
4.D53.D27.A2C$326.3A2C2.AB2D56.C28.2B$324.6A2BD3.C56.BD27.2A$323.A.A
2B2D.A2CD58.ACD$322.7ACD2.B60.BCD$322.3A2C2.2BCD61.ABCD$320.6ABC2DA
64.ABC$319.A.A2B2D2ABC66.AB2D$318.6AB2C4.D65.A2C$318.3A2C2.AB2D69.2B$
316.6A2BD3.C69.2A$315.A.A2B2D.A2CD$314.7ACD2.B95.D$314.3A2C2.2BCD96.C
$312.6ABC2DA98.BD$311.A.A2B2D2ABC99.ACD$310.6AB2C4.D85.D12.BCD$310.3A
2C2.AB2D88.C12.ABCD$308.6A2BD3.C88.BD12.ABC$307.A.A2B2D.A2CD90.ACD12.
AB2D$306.7ACD2.B92.BCD12.A2C$306.3A2C2.2BCD93.ABCD12.2B$304.6ABC2DA
96.ABC12.2A$303.A.A2B2D2ABC98.AB2D$302.6AB2C4.D97.A2C$302.3A2C2.AB2D
101.2B$300.6A2BD3.C101.2A$299.A.A2B2D.A2CD$298.7ACD2.B$298.3A2C2.2BCD
$296.6ABC2DA$295.A.A2B2D2ABC$294.6AB2C4.D117.D$294.3A2C2.AB2D120.C$
292.6A2BD3.C120.BD$291.A.A2B2D.A2CD122.ACD$290.7ACD2.B124.BCD$290.3A
2C2.2BCD125.ABCD$288.6ABC2DA128.ABC$287.A.A2B2D2ABC130.AB2D$286.6AB2C
4.D129.A2C$286.3A2C2.AB2D133.2B$284.6A2BD3.C133.2A$283.A.A2B2D.A2CD$
282.7ACD2.B$282.3A2C2.2BCD$280.6ABC2DA$279.A.A2B2D2ABC$278.6AB2C4.D$
278.3A2C2.AB2D$276.6A2BD3.C$275.A.A2B2D.A2CD$274.7ACD2.B$274.3A2C2.2B
CD$272.6ABC2DA$271.A.A2B2D2ABC$270.6AB2C4.D$270.3A2C2.AB2D$268.6A2BD
3.C$267.A.A2B2D.A2CD$266.7ACD2.B$266.3A2C2.2BCD$264.6ABC2DA$263.A.A2B
2D2ABC$262.6AB2C4.D$262.3A2C2.AB2D$260.6A2BD3.C$259.A.A2B2D.A2CD$258.
7ACD2.B$258.3A2C2.2BCD$256.6ABC2DA$255.A.A2B2D2ABC$254.6AB2C4.D$254.
3A2C2.AB2D$252.6A2BD3.C$251.A.A2B2D.A2CD$250.7ACD2.B$250.3A2C2.2BCD$
248.6ABC2DA$247.A.A2B2D2ABC$246.6AB2C4.D$246.3A2C2.AB2D$244.6A2BD3.C$
243.A.A2B2D.A2CD$242.7ACD2.B$242.3A2C2.2BCD$240.6ABC2DA$239.A.A2B2D2A
BC$238.6AB2C4.D$238.3A2C2.AB2D$236.6A2BD3.C$235.A.A2B2D.A2CD$234.7ACD
2.B$234.3A2C2.2BCD$232.6ABC2DA$231.A.A2B2D2ABC$230.6AB2C4.D$230.3A2C
2.AB2D$228.6A2BD3.C$227.A.A2B2D.A2CD$226.7ACD2.B$226.3A2C2.2BCD$224.
6ABC2DA$223.A.A2B2D2ABC$222.6AB2C4.D$222.3A2C2.AB2D$220.6A2BD3.C$219.
A.A2B2D.A2CD$218.7ACD2.B$218.3A2C2.2BCD$216.6ABC2DA$215.A.A2B2D2ABC$
214.6AB2C4.D$214.3A2C2.AB2D$212.6A2BD3.C$211.A.A2B2D.A2CD$210.7ACD2.B
$210.3A2C2.2BCD$208.6ABC2DA$207.A.A2B2D2ABC$206.6AB2C4.D$206.3A2C2.AB
2D$204.6A2BD3.C$203.A.A2B2D.A2CD$202.7ACD2.B$202.3A2C2.2BCD$200.6ABC
2DA$199.A.A2B2D2ABC$198.6AB2C4.D$198.3A2C2.AB2D$196.6A2BD3.C$195.A.A
2B2D.A2CD$194.7ACD2.B$194.3A2C2.2BCD$192.6ABC2DA$191.A.A2B2D2ABC$190.
6AB2C4.D$190.3A2C2.AB2D$188.6A2BD3.C$187.A.A2B2D.A2CD$186.7ACD2.B$
186.3A2C2.2BCD$184.6ABC2DA$183.A.A2B2D2ABC$182.6AB2C4.D$182.3A2C2.AB
2D$180.6A2BD3.C$179.A.A2B2D.A2CD$178.7ACD2.B$178.3A2C2.2BCD$176.6ABC
2DA$175.A.A2B2D2ABC$174.6AB2C4.D$174.3A2C2.AB2D$172.6A2BD3.C$171.A.A
2B2D.A2CD$170.7ACD2.B$170.3A2C2.2BCD$168.6ABC2DA$167.A.A2B2D2ABC$166.
6AB2C4.D$166.3A2C2.AB2D$164.6A2BD3.C$163.A.A2B2D.A2CD$162.7ACD2.B$
162.3A2C2.2BCD$160.6ABC2DA$159.A.A2B2D2ABC$158.6AB2C4.D$158.3A2C2.AB
2D$156.6A2BD3.C$155.A.A2B2D.A2CD$154.7ACD2.B$154.3A2C2.2BCD$152.6ABC
2DA$151.A.A2B2D2ABC$150.6AB2C4.D$150.3A2C2.AB2D$148.6A2BD3.C$147.A.A
2B2D.A2CD$146.7ACD2.B$146.3A2C2.2BCD$144.6ABC2DA$143.A.A2B2D2ABC$142.
6AB2C4.D$142.3A2C2.AB2D$140.6A2BD3.C$139.A.A2B2D.A2CD$138.7ACD2.B$
138.3A2C2.2BCD$136.6ABC2DA$135.A.A2B2D2ABC$134.6AB2C4.D$134.3A2C2.AB
2D$132.6A2BD3.C$131.A.A2B2D.A2CD$130.7ACD2.B$130.3A2C2.2BCD$128.6ABC
2DA$127.A.A2B2D2ABC$126.6AB2C4.D$126.3A2C2.AB2D$124.6A2BD3.C$123.A.A
2B2D.A2CD$122.7ACD2.B$122.3A2C2.2BCD$120.6ABC2DA$119.A.A2B2D2ABC$118.
6AB2C4.D$118.3A2C2.AB2D$116.6A2BD3.C$115.A.A2B2D.A2CD$114.7ACD2.B$
114.3A2C2.2BCD$112.6ABC2DA$111.A.A2B2D2ABC$110.6AB2C4.D$110.3A2C2.AB
2D$108.6A2BD3.C$107.A.A2B2D.A2CD$106.7ACD2.B$106.3A2C2.2BCD$104.6ABC
2DA$103.A.A2B2D2ABC$102.6AB2C4.D$102.3A2C2.AB2D$100.6A2BD3.C$99.A.A2B
2D.A2CD$98.7ACD2.B$98.3A2C2.2BCD$96.6ABC2DA$95.A.A2B2D2ABC$94.6AB2C4.
D$94.3A2C2.AB2D$92.6A2BD3.C$91.A.A2B2D.A2CD$90.7ACD2.B$90.3A2C2.2BCD$
88.6ABC2DA$87.A.A2B2D2ABC$86.6AB2C4.D$86.3A2C2.AB2D$84.6A2BD3.C$83.A.
A2B2D.A2CD$82.7ACD2.B$82.3A2C2.2BCD$80.6ABC2DA$79.A.A2B2D2ABC$78.6AB
2C4.D$78.3A2C2.AB2D$76.6A2BD3.C$75.A.A2B2D.A2CD$74.7ACD2.B$74.3A2C2.
2BCD$72.6ABC2DA$71.A.A2B2D2ABC$70.6AB2C4.D$70.3A2C2.AB2D$68.6A2BD3.C$
67.A.A2B2D.A2CD$66.7ACD2.B$66.3A2C2.2BCD$64.6ABC2DA$63.A.A2B2D2ABC$
62.6AB2C4.D$62.3A2C2.AB2D$60.6A2BD3.C$59.A.A2B2D.A2CD$58.7ACD2.B$58.
3A2C2.2BCD$56.6ABC2DA$55.A.A2B2D2ABC$54.6AB2C4.D$54.3A2C2.AB2D$52.6A
2BD3.C$51.A.A2B2D.A2CD$50.7ACD2.B$50.3A2C2.2BCD$48.6ABC2DA$47.A.A2B2D
2ABC$46.6AB2C4.D$46.3A2C2.AB2D$44.6A2BD3.C$43.A.A2B2D.A2CD$42.7ACD2.B
$42.3A2C2.2BCD$40.6ABC2DA$39.A.A2B2D2ABC$38.6AB2C4.D$38.3A2C2.AB2D$
36.6A2BD3.C$35.A.A2B2D.A2CD$34.7ACD2.B$34.3A2C2.2BCD$32.6ABC2DA$31.A.
A2B2D2ABC$30.6AB2C4.D$30.3A2C2.AB2D$28.6A2BD3.C$27.A.A2B2D.A2CD$26.7A
CD2.B$26.3A2C2.2BCD$24.6ABC2DA$23.A.A2B2D2ABC$22.6AB2C4.D$22.3A2C2.AB
2D$20.6A2BD3.C$19.A.A2B2D.A2CD$18.7ACD2.B$18.3A2C2.2BCD$16.6ABC2DA$
15.A.A2B2D2ABC$14.6AB2C4.D$14.3A2C2.AB2D$12.6A2BD3.C$11.A.A2B2D.A2CD$
10.7ACD2.B$10.3A2C2.2BCD$8.6ABC2DA$7.A.A2B2D2ABC$6.6AB2C4.D$6.3A2C2.A
B2D$4.6ABCD3.C$3.A.A2B2D$2.31A$2.3ACA.A.A.A.A.A.A.A.6A.3A$3ABADA.B.AC
.AC2.DAB2A.A3.CA$3ABAD2ADCB3.D7.DBD.D$2.A.A.A.B13.CAC.C$4.BCB16.BABD$
5.A18.A!
Edit: It is possible to create guns of all periods above 7 by a simple spaceship duplicator and stable reflectors. This pattern demonstrates the principle:
Code: Select all
x = 44, y = 61, rule = 3456/278/5
2.A$.3A$2.A$2.A$.3A$2.A$2.A$.3A$2.A$2.A$.3A$2.A$2.A$.2A2.A2.A$2.8A$2.
A2.A2.A$.2A$2.A$2.2A8.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A$.2A8.33A$2.A9.A
2.A3.A3.A3.A3.A3.A3.A2.A$2.A2.A2.A10.A7.A7.A$.9A8.3A5.3A5.3A$2.A2.A2.
A10.A7.A7.A$2.A$.2A$2.2A$2.A$.2A37.A$2.A2.A33.3A$2.5A33.A$.2A2.A34.A$
2.A36.3A$2.A37.A$.3A36.A$2.A34.A2.2A$2.A33.5A$.3A33.A2.A$2.A37.2A$40.
A$39.2A$2.2A36.2A$2.2B36.A$2.2C33.A2.A$2.2D32.6A$37.A2.A$40.A$40.2A$
2.2A35.2A$2.2B36.A$2.2C36.2A$2.2D33.A2.A$36.5A$8.A7.A7.A12.A2.2A$7.3A
5.3A5.3A14.A$8.A7.A7.A15.A$.A2.A3.A3.A3.A3.A3.A3.A2.A7.3A$33A7.A$.A2.
A2.A2.A2.A2.A2.A2.A2.A2.A2.A8.A$39.3A$40.A!
period7 gun:
Code: Select all
x = 49, y = 63, rule = 3456/278/5
.A.A.D$.B3AC$.C.A.B$.D.A.A$2.3A$3.A$3.A$.4AD$.B.A2.CBA3.DCBA$.C.A.DCB
A3.DCBA$.D3A.D$3.A$3.A3.ABCD$2.2A2.A2.A$.A.8A$.B.A2.A2.A$.C2A.DC.CBA$
.D.A3.D4.CBA3.DCBA3.DCBA3.DCBA3.DCBA3.DC$3.2A6.D.A2.A2.A2.A2.A2.A2.A
2.A2.A2.A2.A2.A.B$2.2A.A6.37A$3.A.ABCD4.A2.A3.A3.A3.A3.A3.A3.A2.A2.A$
.A.A2.A2.A5.DCBA.A4.DB.A.2A2.D.A.2CBA$.B10A2.DCB5A2.DC4AB3.C3ADBA3.2D
$.C.A2.A2.A.B8.A.A2.B2.A.C2.DB.A7.2C$.D.A5.DC8.DCB7.D5.A8.2B$2.2A.A
38.2A$3.2ABA$3.A.CB$.3A.CD37.DC$.B.A2.A35.D.A.B$.C.5A34.C4A$.D2A2.A.A
33.B.A$3.A.2CB34.A.A$3.A.DBA35.3A$2.3A35.CD2.A.D$.A.A35.BD3.A.C$.B.A
34.AC.A2.2AB$.C4A33.B5A.A$.D.A.B33.A.A2.A$3.DC39.2A$41.D2.A$41.CD2A.D
$3.2A35.ABC.2AC$3.2B36.2A.A.B$3.2C36.A2.A.A$3.2D34.D6A$39.C.A2.A$40.B
A2.A$44.2AD$3.2A38.2A.C$3.2B35.CD2.A.B$3.2C35.ABC.3A$3.2D20.AB14.A2.A
$10.A5.D7.BCDC12.5A$9.A.BD2.C.A2.B2.A.A2.D12.A2.2A$5.ABD3AC3.B4ACD2.
3A13.DCB.A.D$.BA.AB2C.A.D2.2A.A.BD4.A3.ABCD8.AB.A.C$C.A2.A3.A3.A3.A3.
A3.A3.A2.A9.4AB$D33A2.ABCD4.A.A$2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A.D.A
BCD4.A$3.ABCD3.ABCD3.ABCD3.ABCD3.ABC9.3A$42.A.A$43.BCD!
Matthias Merzenich

 Posts: 566
 Joined: May 31st, 2009, 12:08 am
Re: 3456/278/5 (multiple state rule)
Example of a p6 gun with converter to get 4x2 stream:
Here is an interesting "natural" binary counter construction I have not seen before in any rule:
Code: Select all
x = 34, y = 30, rule = 3456/278/5
12.D2.BC$11.C.A.A.D$11.6A6.A$12.A2.3A4.3A$12.2A.A.AB4.A$12.2A2.A.A$
12.2A2.A.A$12.2A.A.AB4.A$12.A2.3A4.3A$11.6A6.A$11.C.A.A.D$12.D2.BC7$.
D2.BC$C.A.A.D$6A26.A$.A2.3A24.3A$.2A.A.AB24.A$.2A2.A.A$.2A2.A.A$.2A.A
.AB24.A$.A2.3A24.3A$6A26.A$C.A.A.D$.D2.BC!
Code: Select all
x = 53, y = 35, rule = 3456/278/5
47.DCBA$26.D17.CD2B.A.A$26.A15.D.BD.AC4A$25.B.BA12.AB2.C.AC4A$23.B.3A
4.D3.D2.C.A.A.ADABA.A$23.C5AD.C4.DAD12A$23.D.3A.D.DCD.CB.BC.A.A.3A.A$
25.A.A2.2C2.DBDC2D.DA.CB2A$25.D.D2.2BD2.CB2.C2.D2.2A$26.C3.2A12$18.2A
$18.2BA$17.A2CB$15.AB.2DC$3.D9.D.B2C2.DB2.A$3.A7.D.D.DCD.C.C2AB$.AB.B
A8.CA.3AB2.AC2D$2.ABA2.DCBADC.A.A.B.A.3A.A$D2AB2A.DCB.AB5ACAD2AB5A$C.
3A.A3.ABC.A.A.D3.A.AC3A$2.C.CB8.ABD.2C.CD.BDAB3A$3.BA13.D2.C.ABDAB3A$
21.D.2C.A.A$25.DCBA!
Re: 3456/278/5 (multiple state rule)
Unfortunately, the converter causes the gun to be pseudoperiod. Here is a multistep converter that preserves the period (can certainly be improved upon):knightlife wrote:Example of a p6 gun with converter to get 4x2 stream
Code: Select all
x = 52, y = 103, rule = 3456/278/5
7.A2.A2.A2.A2.A2.A2.A$6.21A$7.A17.A$12.BCD2.ABC2D$11.ACD2.ABCD$11.BD
2.ABCD$10.AC2.ABCD2.2A$10.BD.ABCD2.A2B$9.AC.ABCD2.AB2C$9.BD.BCD2.ABC
2D$9.C.ACD2.ABCD$9.D.BD2.ABCD$10.AC2.ABCD2.2A24.BA.DC$10.BD.ABCD2.A2B
23.C.A.A.B$9.AC.ABCD2.AB2C22.D.5A$9.BD.BCD2.ABC2D.ABCD2.ABCD2.ABCD2.A
BC.3A2.A$9.C.ACD2.ABCD2.ABCD2.ABCD2.ABCD2.ABCD2A.A.2A$9.D.B.A2.A2.A2.
BCD2.ABCD2.ABCD2.ABCD3.A2.2A$11.10A.BCD2.ABCD2.ABCD2.ABCD3.A2.2A$13.A
5.A.2ABCD2.ABCD2.ABCD2.ABCD2A.A.2A$13.DC3.D4.ABCD2.ABCD2.ABCD2.ABC.3A
2.A$18.CD24.D.5A$18.BC2D23.C.A.A.B$18.AB2C24.BA.DC$19.A2B$20.2A$18.D$
18.CD$18.BC2D$18.AB2C$19.A2B$20.2A$18.D$18.CD$18.BC2D$18.AB2C$19.A2B$
20.2A$.A16.D$3A15.CD$.A16.BC2D$.A16.AB2C$2A17.A2B$.A.ABCD2.ABCD2.ABCD
3.A$.A.ABCD2.ABCD2.ABCD2.A$2A2.ABCD2.ABCD2.ABCD3A$.A3.ABCD2.ABCD2.ABC
.A.D$.A19.A.C$2A19.2AB$.A19.A.A$.A19.A$2A19.2A.DCBA2.DCBA$.A19.A2.DCB
A2.DCBA$.A19.A$2A19.3A$.A19.A.B$.A.D2.ABCD2.ABCD2.AB.A.C$2A3.ABCD2.AB
CD2.ABC3AD$.A2.ABCD2.ABCD2.ABCD.A$.A2.ABCD2.ABCD2.ABCD$2A18.2A$.A17.A
2B$.A16.AB2C$3A15.BC2D$.A16.CD$18.D$20.2A$19.A2B$18.AB2C$18.BC2D$18.C
D$18.D$20.2A$19.A2B$18.AB2C$18.BC2D$18.CD$18.D$20.2A$19.A2B24.A.DCB$
18.AB2C23.B.A.A.A$18.BC2D22.C.5A$12.DCB3.CD4.ABCD2.ABCD2.ABCD2.ABD3A
2.A$13.A5.A3.ABCD2.ABCD2.ABCD2.ABC.A.A.2A$10.D.9ADABCD2.ABCD2.ABCD2.A
BCD2.A2.2A$9.C.A.A2.A2.A2.ABCD2.ABCD2.ABCD2.ABCD2.A2.2A$9.BD.BCD2.ABC
2D.ABCD2.ABCD2.ABCD2.ABC.A.A.2A$9.AC.ABCD2.AB2C2.ABCD2.ABCD2.ABCD2.AB
D3A2.A$10.BD.ABCD2.A2B22.C.5A$10.AC2.ABCD2.2A23.B.A.A.A$9.D.BD2.ABCD
27.A.DCB$9.C.ACD2.ABCD$9.BD.BCD2.ABC2D$9.AC.ABCD2.AB2C$10.BD.ABCD2.A
2B$10.AC2.ABCD2.2A$9.D.BD2.ABCD$11.ACD2.ABCD$12.BCD2.ABC2D$12.ABCD2.A
B2C$7.A17.A$6.21A$7.A2.A2.A2.A2.A2.A2.A!
Code: Select all
x = 28, y = 54, rule = 3456/278/5
22.CB2.D$21.D.A.A.C$22.6A$9.A3.D2.ABCD.3A2.A$8.3A2D2.ABCD.BA.A.2A$.A
2.A2.3A.B2.ABCD2.A.A2.2A$9A.CD2.ABCD2.A.A2.2A$.A5.A.2BCD2.ABCD.BA.A.
2A$8.2A.BCD2.ABCD.3A2.A$6.D15.6A$6.CD13.D.A.A.C$6.BC2D12.CB2.D$6.AB2C
$7.A2B$8.2A2$8.C$7.A.D$6.3A.C$7.3A.B$8.4A$9.A$9.A$9.2AD$9.A.C$9.A.B$
9.3A2.DCBA2.DCBA$9.A.A2.DCBA2.DCBA$9.A.B$9.2AC$9.A.D$9.A$8.3A$7.3A.A$
6.3A.B$7.A.C$7.DBD$7.D$6.D$8.2A$7.A2B$6.AB2C$6.BC2D12.CB2.D$6.CD13.D.
A.A.C$6.D15.6A$8.2A.BCD2.ABCD.3A2.A$.A5.A.2BCD2.ABCD.BA.A.2A$9A.CD2.A
BCD2.A.A2.2A$.A2.A2.3A.B2.ABCD2.A.A2.2A$8.3A2D2.ABCD.BA.A.2A$9.A3.D2.
ABCD.3A2.A$22.6A$21.D.A.A.C$22.CB2.D!
Matthias Merzenich

 Posts: 566
 Joined: May 31st, 2009, 12:08 am
Re: 3456/278/5 (multiple state rule)
I didn't realize the converter was doing that, I was only interested in the resulting stream.Sokwe wrote:Unfortunately, the converter causes the gun to be pseudoperiod.
Here is a smaller gun that is a true p6:
Code: Select all
x = 11, y = 9, rule = 3456/278/5
8.DC$5.DB2A.B$2.D2.A.4A$3.ABCD.A$3.ABCD.A$5.A.4A$.A3.DB2A.B$3A5.DC$.A
!
Code: Select all
x = 5, y = 6, rule = 3456/278/5
3A.A$.3A$2.A$2.A$.3A$3A.A!
Another p6 gun starts with a 3 x 8 pattern but makes wide spaceships:
Code: Select all
x = 3, y = 8, rule = 3456/278/5
A$2A$2A$A.A$A.A$2A$2A$A!
Re: 3456/278/5 (multiple state rule)
Very interesting  Your pattern has a growth rate of O(t log t). There is a 'natural' O(t log t) pattern in Life called "Gott's dots". It should be in your "Golly/HashLife" directory. Despite its name, it was actually discovered by Bill Gosper, and WedGeGRoW (named after Gosper) was discovered by Nick Gotts.Here is an interesting "natural" binary counter construction I have not seen before in any rule:
In your pattern, note the interesting effect of 'tunneling gliders'. A spaceship appears to propagate through the static columns, just behind the puffer. In reality, it is an optical illusion, caused by the fact that both the 'tunneling' spaceship and the puffer travel at the same velocity.
Generations rules seem rich in these binarycounting mechanisms; here is a discovery of mine in Brian's Brain:
Code: Select all
x = 60, y = 61, rule = /2/3
50.A2.A$48.BA4B$49.2A2.BA$52.2A$48.B3.BA$48.2A.ABA$49.BA2.A$49.B4.B$
49.BA2.BA$41.AB.AB.AB.2A.A$41.AB.AB.AB2.2BA$50.A2.B$51.BA5$24.ABA$25.
B11.2A$11.B14.AB9.2B$.A3.ABA3.2AB$B.B3.B3.B2A24.2A$2.3ABA2.3AB24.2B$A
2.B4.AB8.ABA$8B11.B17.2A$A6.A12.AB15.2B3.AB2.B$39.3BA2.2A$36.A.2A.A3.
ABA$35.B.BA3.A3.B$12.ABA20.A.B4.2BA2B$13.B22.B2AB.7AB$14.AB23.AB$54.B
$53.A.4AB$53.B2.2BA$6.ABA45.3B$7.B45.A3BA$8.AB47.A$53.BA.B2.B$54.A2B.
BA$54.A2.BA$14.AB22.AB.AB.AB.AB.AB.AB$14.AB.AB19.AB2.B2.B.AB.AB.AB.2A
.B$16.AB22.AB2ABA10.2BA$56.A$42.2A$3.2A37.2B$3.2B$42.2A$3.2A37.2B$3.
2B$42.2A$3.2A2.B.A.BA29.2B$3.2B3A.2B2.B$6.B2.2B.A29.2A2.B.A.BA$.ABA2.
2B.3BA29.2B3A.2B2.B$2.BA.B2.2A.2AB31.B2.2B.A$2.A2.AB7.A25.ABA2.2B.3BA
$3.B2.AB5.B27.BA.B2.2A.2AB$41.A2.AB7.A$42.B2.AB5.B!
The most striking feature of my pattern is the fact that (after a large, Hyperspeedfueled amount of time) the bottomleft corner of the pattern has perfect fractal selfsimilarity. Successive magnifications appear identical, due to the poweroftwo zooming in Golly.
What do you do with ill crystallographers? Take them to the monoclinic!
 Extrementhusiast
 Posts: 1797
 Joined: June 16th, 2009, 11:24 pm
 Location: USA
Re: 3456/278/5 (multiple state rule)
OK, that explains it. I don't have the updated version of Golly! (so it doesn't support Generations)
EDIT: Now I do! Here's quadratic growth:
Take out the B78 and quadratic growth reappears, though in a different, spectacular fashion:
EDIT: Now I do! Here's quadratic growth:
Code: Select all
x = 90, y = 65, rule = 3456/278/5
36.7A$30.6A7.2A$30.A14.A$29.A16.2A$29.A18.A$29.A19.2A$28.A21.3A$28.A
20.A2.2A$28.A20.A3.3A$27.A20.A6.2A$27.A20.A7.3A$28.A18.A9.3A16.A$28.A
18.A11.2A14.A$29.A17.A12.A13.A$29.A16.A13.2A11.A$30.A15.A14.A10.A$30.
A14.A15.2A8.A$31.A13.A16.2A6.A$31.A13.A16.2A5.A$32.A11.A18.2A3.A$32.A
11.A18.2A2.A$33.A9.A20.3A$33.A9.A21.A$34.A8.A20.3A$34.A7.A20.A2.2A$
35.A6.A19.A3.2A$35.A6.A18.A5.2A$36.A5.A17.A6.2A14.2A$37.A3.A2.29A7.4A
$37.A2.4A14.A9.A.A2.9A$35.5A.A15.A11.2A7.2A$30.5A3.A.A15.A12.A.A3.3A$
26.4A4.4A.2A14.A14.2A.2A$21.8A5.A3.4A12.A15.3A$17.6A6.8A2.2A.3A7.2A
15.2A2.A$12.5A2.2A13.A2.12A2.A15.2A2.A.A$7.5A6.A15.A4.A.A3.6A15.A4.A
2.A$3.4A11.A15.A4.A.A6.5A11.2A5.A2.A$3A16.A15.A2.A3.A4.A4.2A8.2A7.A3.
A$19.2A14.A2.A3.A3.A6.3A5.A10.A2.A$21.4A11.A.A4.A.A9.2A2.2A11.A3.A$
25.3A8.2A5.2A12.2A13.A4.A$28.4A4.2A4.A.A11.4A12.A4.A$32.6A.3A2.A10.A
4.2A10.A5.A$36.7A2.A7.2A6.2A10.A4.A$36.A6.7A.2A10.2A8.A5.A$36.A10.2A.
6A8.2A7.A6.A$36.A11.2A6.6A4.2A5.A6.A$35.A11.A2.A11.8A3.A7.A$35.A9.2A
4.2A14.4A3.A7.A$35.A7.2A8.A17.4A7.A$35.A6.A11.A17.6A5.A$34.A5.2A13.2A
17.2A2.4A.A$34.A4.A17.A17.2A5.2A$34.A3.A19.A16.4A$34.A2.A21.2A14.A.3A
$33.A2.A24.A13.A3.3A$33.A.A26.A12.A4.A.A$33.A.A27.2A10.A5.A.2A$33.2A
30.A9.A6.A2.A$32.2A32.2A7.A7.A2.2A$32.A35.2A5.A8.2A2.A$32.A37.2A3.A
10.A.A$72.2A.A11.A.A$74.2A12.A!
Code: Select all
x = 90, y = 65, rule = 3456/2/5
36.7A$30.6A7.2A$30.A14.A$29.A16.2A$29.A18.A$29.A19.2A$28.A21.3A$28.A
20.A2.2A$28.A20.A3.3A$27.A20.A6.2A$27.A20.A7.3A$28.A18.A9.3A16.A$28.A
18.A11.2A14.A$29.A17.A12.A13.A$29.A16.A13.2A11.A$30.A15.A14.A10.A$30.
A14.A15.2A8.A$31.A13.A16.2A6.A$31.A13.A16.2A5.A$32.A11.A18.2A3.A$32.A
11.A18.2A2.A$33.A9.A20.3A$33.A9.A21.A$34.A8.A20.3A$34.A7.A20.A2.2A$
35.A6.A19.A3.2A$35.A6.A18.A5.2A$36.A5.A17.A6.2A14.2A$37.A3.A2.29A7.4A
$37.A2.4A14.A9.A.A2.9A$35.5A.A15.A11.2A7.2A$30.5A3.A.A15.A12.A.A3.3A$
26.4A4.4A.2A14.A14.2A.2A$21.8A5.A3.4A12.A15.3A$17.6A6.8A2.2A.3A7.2A
15.2A2.A$12.5A2.2A13.A2.12A2.A15.2A2.A.A$7.5A6.A15.A4.A.A3.6A15.A4.A
2.A$3.4A11.A15.A4.A.A6.5A11.2A5.A2.A$3A16.A15.A2.A3.A4.A4.2A8.2A7.A3.
A$19.2A14.A2.A3.A3.A6.3A5.A10.A2.A$21.4A11.A.A4.A.A9.2A2.2A11.A3.A$
25.3A8.2A5.2A12.2A13.A4.A$28.4A4.2A4.A.A11.4A12.A4.A$32.6A.3A2.A10.A
4.2A10.A5.A$36.7A2.A7.2A6.2A10.A4.A$36.A6.7A.2A10.2A8.A5.A$36.A10.2A.
6A8.2A7.A6.A$36.A11.2A6.6A4.2A5.A6.A$35.A11.A2.A11.8A3.A7.A$35.A9.2A
4.2A14.4A3.A7.A$35.A7.2A8.A17.4A7.A$35.A6.A11.A17.6A5.A$34.A5.2A13.2A
17.2A2.4A.A$34.A4.A17.A17.2A5.2A$34.A3.A19.A16.4A$34.A2.A21.2A14.A.3A
$33.A2.A24.A13.A3.3A$33.A.A26.A12.A4.A.A$33.A.A27.2A10.A5.A.2A$33.2A
30.A9.A6.A2.A$32.2A32.2A7.A7.A2.2A$32.A35.2A5.A8.2A2.A$32.A37.2A3.A
10.A.A$72.2A.A11.A.A$74.2A12.A!
I Like My Heisenburps! (and others)
 Extrementhusiast
 Posts: 1797
 Joined: June 16th, 2009, 11:24 pm
 Location: USA
Re: 3456/278/5 (multiple state rule)
Because of the recent activity in the Star Wars rule, my interest in this rule has been revitalized. Here is a breeder:
Set memory:
Read memory:
(Note: This memory actually functions as a NOT gate. To get what the memory actually has, just stick it through another NOT gate again.)
And to solve the question of the p6 gun, here are three dinky ones:
The first one has a small rotor, the second one fits in less than a 10x10 box, and the third one has length (not width) 6.
Code: Select all
x = 31, y = 120, rule = 3456/278/5
27.BC$25.B.A.D$25.C2AC.C$26.A3.D$24.C2BCD$23.BD4.C$24.CBABD$24.A.CA$
25.B3A$26.2A$25.4A$26.2A$18.ABDA$19.2AB$16.DC3A$19.A.D$18.ABC8$18.D.B
D$17.C.2A$16.B4AC$17.C.A.B$18.D.A8$18.BC.B$17.A.2AC$17.D4A$17.A.A$18.
BCD2$2.D$2.C$2DB$2CA$2B$2A$19.AC$17.D.3A$16.CB3AD$17.D.A.C$4.2A13.AB$
4.2B$4.2C$4.2D5$18.CDAC$17.B.2AD$16.A.3AB$17.B.A.A$18.CD2$3.D$3.C$3.B
D$2.2AC2D$3.BABC9.B$4.CA.B7.CDCA$3.D.B.C4.BC.B.B.B.A$4.2ACBA4.2AB.AC
2AB$3.A.3AC3.CA.C.B3A$4.BC2.B3.BDBD.D.A2.D$16.C5.C$14.D7.BD$21.A.C$4.
CDAC11.DCB.B2D$4.A2BDB10.DCB.A2C$5.AD.CA14.2B$5.2ADB15.2A$2.D.2A.C7.D
CBA$2.BA5.A5.DCBA$.ACD7A$2.BA.6A$3.BC2.A.A.DCBA$2.2AD.A4.DCBA$3.BC2A$
2.BA2DA.D$2.DCBCB.CBA$D3.A2.DCBA$2.2DC3AD$.CB2.2AC$2.D3A.A$3.AC.B$2.
5A$3.2A.3A$2.4A.2B$3.2A2.2C$7.2D5$7.2A$7.2B$7.2C$7.2D2$6.C2.C$6.4D$6.
B2.B$5.DB2ABD$5.C.2C.C$5.B4AB$5.A.2A.A$6.4A$7.2A!
Code: Select all
x = 63, y = 35, rule = 3456/278/5
6$17.2D18.2D$17.2C18.2C$17.2B18.2B$17.2A18.2A$13.A19.A$12.3A17.3A$13.
A19.A3$13.CD$12.B.A19.A$12.4A17.3A$14.A19.A!
Code: Select all
x = 20, y = 33, rule = 3456/278/5
17.A$16.3A$17.A3$7.CD$16.B.A$16.4A$DCBA14.A$DCBA14$17.A$16.3A$17.A4$18.A$17.3A$DCBA14.A$DCBA!
And to solve the question of the p6 gun, here are three dinky ones:
Code: Select all
x = 13, y = 12, rule = 3456/278/5
6.2A$6.2B$6.2C$6.2D2$2.A2.C2.C2.A$.6A.5A$5A.A.4A$.A3.A.2A$4.5A.A$5.A
3.3A$10.A!
Code: Select all
x = 8, y = 9, rule = 3456/278/5
.B2A$C.A.B$D3AC$.2A.D$.B2.2C$2.D2.A.C$2.CD3AD$2.BC.A$3.ABA!
Code: Select all
x = 12, y = 6, rule = 3456/278/5
2.BA2.C3.A$C2ADA.6A$.2A.B3A2.A$.2A2.2A$6A$.A2.A!
I Like My Heisenburps! (and others)