Free Star (0345/2/10)

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Alexey_Nigin
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Free Star (0345/2/10)

Post by Alexey_Nigin » November 23rd, 2014, 11:43 am

This rule is a combination of "Live Free or Die" and "Star Wars".


Here are some interesting patterns:

Some oscillators:

Code: Select all

x = 3, y = 3, rule = 0345/2/10
A$.A$2.A!

Code: Select all

x = 5, y = 5, rule = 0345/2/10
4.A2$A$.A$2.A!

Code: Select all

x = 5, y = 5, rule = 0345/2/10
.BA$C.A$D3A$E.A.I$.FGH!

Code: Select all

x = 4, y = 4, rule = 0345/2/10
GHA$D2AH$F2AC$CD.B!
A c/2 spaceship:

Code: Select all

x = 5, y = 3, rule = 0345/2/10
HFDBA$.HFDB$HFDBA!
Guns:

Code: Select all

x = 5, y = 5, rule = 0345/2/10
GHDC$D2A.B$F4A$E.A.A$.DCB!

Code: Select all

x = 5, y = 5, rule = 0345/2/10
.AIH$H2A.G$B3A$A.A.G$2.IH!
A sample puffer:

Code: Select all

x = 7, y = 18, rule = 0345/2/10
A3$.2A$A2I$I$3.IHG$3.G.GI$AC2GH.H$C2E2H2G$.CGDBCF$BC.BFCE$.2ACD.D$AB.
2D2C$2.C2A.B$3.AB2A$2.3A$3.2A!
An interesting "growing puffer":

Code: Select all

x = 8, y = 28, rule = 0345/2/10
3.A$3.2IH$3.EGF$3.FED$3.ACB$2.IBA$4.A$2.G2A$2.H.A$2.E2A$2.F.A$2.C2A$
2ID.A$2H3A$2GB.A$2FI2A$2E2.A$2DG2A$2CHIA.2I$2BE2A.2H$2AFGA.2G$2.C2A.
2F$2.DEA.2E$2.3A.2D$2.BCA.2C$3.2A.2B$2.3A.2A$3.2A!
A breeder:

Code: Select all

x = 5, y = 5, rule = 0345/2/10
DECB$3A.A$C3A$B.A.I$.A.IA!
Another interesting pattern:

Code: Select all

x = 15, y = 6, rule = 0345/2/10
14.A2$IHGFEDCBA$IHGFEDCBA2$13.A!

You might also want to visit this thread. There you can find a similar (but a bit more explosive) rule.
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Re: Free Star (0345/2/10)

Post by A for awesome » November 23rd, 2014, 1:17 pm

Some "tractor beams":

Code: Select all

x = 92, y = 23, rule = 0345/2/10
CD.I$.2A.H$B3AGFEDCBA.IHGFEDCBA.IHGFEDCBA.IHGFEDCBA.IHGFEDCBA.IHGFEDC
BA.IHGFEDCBA.IHGFEDCBA.I$A.A.GFEDCBA.IHGFEDCBA.IHGFEDCBA.IHGFEDCBA.IH
GFEDCBA.IHGFEDCBA.IHGFEDCBA.IHGFEDCBA.IA$2.IH4$CD.I$.2A.H$B3AGFEDCBA.
IHGFEDCBA.IHGFEDCBA.IHGFEDCBA.IHGFEDCBA.IHGFEDCBA.IHGFEDCBA.IHGFDC$A.
A.GFEDCBA.IHGFEDCBA.IHGFEDCBA.IHGFEDCBA.IHGFEDCBA.IHGFEDCBA.IHGFEDCBA
.IHGFCD$2.IH70.EFACD$74.AEF4$BCA$.2A.IECA5.IGECA5.IGECA5.IGECA5.IGECA
5.IGECA5.IGECA5.IGECA5.IGEDCBA$D3A2GECA5.IGECA5.IGECA5.IGECA5.IGECA5.
IGECA5.IGECA5.IGECA5.IGEDCBA$C.A.IECA5.IGECA5.IGECA5.IGECA5.IGECA5.IG
ECA5.IGECA5.IGECA5.IG.FEDCBA$.BA81.FGFEDCBA$84.AFG!
Edit: 2c/3 signal:

Code: Select all

x = 71, y = 5, rule = 0345/2/10
2.AI2.ACD3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A$2.I.I.CDC$A2.I
GFDCA$4.FGF2.A$4.AFG3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A!
C signal:

Code: Select all

x = 33, y = 4, rule = 0345/2/10
.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A$33A$.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A
$IHGFEDCBA!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

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Re: Free Star (0345/2/10)

Post by Alexey_Nigin » November 24th, 2014, 3:49 pm

An interesting gun produces rare 2c/3 spaceships:

Code: Select all

x = 19, y = 5, rule = 0345/2/10
BCA13.ACB$.2A.I9.I.2A$D3A11.3AD$C.A.I9.I.A.C$.BA13.AB!
Here is a sawtooth (it uses one of the tractor beams created by Aidan F. Pierce):

Code: Select all

x = 11, y = 5, rule = 0345/2/10
.CBA$D.A3.HFDBA$E3A3.HFDB$.2A.A.HFDBA$IECB!
I'll publish more patterns soon, so stay tuned.
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Re: Free Star (0345/2/10)

Post by lukebradford » November 24th, 2014, 5:51 pm

This is a very cool rule. Here's a pretty frightening puffer/breeder of ever-increasing complexity.

Code: Select all

x = 9, y = 13, rule = 0345/2/10
I2A4.GF$H.2A3.FE$G2A.GHFED$F.2A2IHDC$E2A.EFDCB$D.2A2GFBA$C2A.CDBA$B.
2A2ED$3A.ABA$2.2A2CB$2.A.2A$3.4A$4.2A!

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Re: Free Star (0345/2/10)

Post by bprentice » November 25th, 2014, 6:50 am

Oscillators like this one:

Code: Select all

x = 11, y = 11, rule = 0345/2/10
DCA5.ACD$CDC5.CDC$ACD5.DCA2$4.DCA$4.CDC$4.ACD2$ACD5.DCA$CDC5.CDC$DCA
5.ACD!
occur in several Generations rules. Some of the best examples can be found in rule 03467/25/6 which is briefly discussed here:

viewtopic.php?f=11&t=1015&p=7395#p7395

Brian Prentice

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Re: Free Star (0345/2/10)

Post by Alexey_Nigin » November 25th, 2014, 1:41 pm

Luke Bradford wrote:This is a very cool rule.
Thank you!

Here is a nice gun:

Code: Select all

x = 16, y = 5, rule = 0345/2/10
GHDC8.CDHG$D2A.B6.B.2AD$F4A6.4AF$E.A.A6.A.A.E$.DCB8.BCD!
A couple of simple reactions:

Code: Select all

x = 11, y = 3, rule = 0345/2/10
HFDBA$.HFDB5.A$HFDBA!

Code: Select all

x = 15, y = 14, rule = 0345/2/10
3.IHGFEDCBA$3.IHGFEDCBA$.IHGFEDCBA$IHGFEDCBA2$13.2A$13.2B$13.2C$13.2D
$13.2E$13.2F$13.2G$13.2H$13.2I!
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Re: Free Star (0345/2/10)

Post by A for awesome » November 25th, 2014, 5:40 pm

Interesting wickstretcher for which there is probably a better end stabilization:

Code: Select all

x = 22, y = 17, rule = 0345/2/10
5.A$4.3A$3.2A.2A$2.2A3.2A$.2A.A.A.2A$2.7A2$3.3A.A$2.4A$.2A$2A.2A$.4A.
A2.A3.A3.A$2.A9.G.G.C.C.A$5.A.2A.3AH3AD4A$7.4A.3AF3AB2A$8.A.I.I.E.E.A
.A$11.A3.A!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

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Re: Free Star (0345/2/10)

Post by flipper77 » November 25th, 2014, 6:25 pm

A for awesome wrote:Interesting wickstretcher for which there is probably a better end stabilization:

Code: Select all

x = 22, y = 17, rule = 0345/2/10
5.A$4.3A$3.2A.2A$2.2A3.2A$.2A.A.A.2A$2.7A2$3.3A.A$2.4A$.2A$2A.2A$.4A.
A2.A3.A3.A$2.A9.G.G.C.C.A$5.A.2A.3AH3AD4A$7.4A.3AF3AB2A$8.A.I.I.E.E.A
.A$11.A3.A!
Yes there most certainly is:

Code: Select all

x = 16, y = 6, rule = 0345/2/10
3.A3.A3.A$6.G.G.C.C.A$2.5AH3AD4A$A.3A.3AF3AB2A$4.I.I.E.E.A.A$2.A2.A3.
A!

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Re: Free Star (0345/2/10)

Post by c0b0p0 » November 25th, 2014, 6:34 pm

flipper77 wrote:Yes there most certainly is: [RLE for an end stabilization in which 7 cells do not have the state they had in the unstabilized wickstretcher]
Here is a 6-cell end stabilization (that is, 6 cells do not have the state they had in the unstabilized wickstretcher).

Code: Select all

x = 17, y = 6, rule = 0345/2/10
2.A2.A2.A3.A$7.G.G.C.C.A$A.2A.3AH3AD4A$2.4A.3AF3AB2A$3.A.I.I.E.E.A.A$
6.A3.A!
Alexey_Nigin wrote:Here is a nice gun:
Here is a smaller c/2 ship gun.

Code: Select all

x = 7, y = 5, rule = 0345/2/10
3.A$2.3A$.2A.2A$2A.A.2A$.5A!

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Re: Free Star (0345/2/10)

Post by lukebradford » November 26th, 2014, 11:14 am

Here's a cool growing rake/spacefiller:

Code: Select all

x = 15, y = 62, rule = 0345/2/10
10.2A$9.3A.2A$10.2A.2B$9.BCA.2C$9.3A.2D$9.DEA.2E$9.C2A.2F$7.2AFGA.2G$
7.2BE2A.2H$7.2CHIA.2I$7.2DG2A$7.2E2.A$7.2FI2A$7.2GB.A$7.2H3A$7.2ID.A$
9.C2A$3.2A4.F.A$2.4A3.E2A$3.2A4.H.A$2.B2CB3.G2A$2.A2BA5.A$2.D2ED3.I2A
$.AB2DBA2.B.A$ABF2GFB3.2A$BCD2FDC2BD.A$CDH2IHDCAC2A$DEF2HFDC.F.A$EF4.
F3.2A$FGH2.HG2FH.A$GH4.HGAG2A$HI4.HG3.A$I9.2A$9.A.A$8.C.2A$7.AC2.A$7.
2BD2A$6.A.AE.A$6.ABGD2A$5.ACDGC.A$5.CD2FH2A$5.DE2CI.A$6.EF.H2A$5.EGH.
G.A$5.GH2.B2A$5.HI2GC.A$6.I2.B2A$5.I5.A$9.F2A$9.G.A$9.F2A$9.D.A$10.2A
$9.A.A$10.2A$9.H.A$9.D2A$8.AE.A$8.ADABC$9.BCFE$10.IHG$10.H.I!

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Re: Free Star (0345/2/10)

Post by Alexey_Nigin » November 26th, 2014, 4:57 pm

c0b0p0 wrote:
Alexey_Nigin wrote:Here is a nice gun:
Here is a smaller c/2 ship gun.

Code: Select all

x = 7, y = 5, rule = 0345/2/10
3.A$2.3A$.2A.2A$2A.A.2A$.5A!
My gun actually produces lightspeed ships... As for c/2 spaceship guns, a 5x5 example is contained in my first post. However, your gun is in some sense neater - it is perfectly symmetric and consists only of state-1 cells.
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Re: Free Star (0345/2/10)

Post by bprentice » November 27th, 2014, 4:12 pm

I'm surprised at the lack of interest in this rule.

Some more guns:

Code: Select all

x = 5, y = 84, rule = 0345/2/10
2.HCB$.3AH$.G2AC$.FBFE$2.2D$2.2C$2.2B$2.2A12$2.2I$2.2H$2.2G$2.2F$2.
2E$2.2D$2.2C$2.2B$2.2A14$3.A5$.2A$.2B$.2C$.2D$.2E$.2F$.2G$.2H$.2I12$
.2A$.2B$.2C$.2D$.2E$.2F$.2G$.2H$.2I6$EFBF$C2AG$H3A$BCH!

Code: Select all

x = 26, y = 16, rule = 0345/2/10
23.HCB$22.3AH$22.G2AC$22.FBFE$23.2D$23.2C$23.2B$23.2A6$.A2.A2.A2.A2.
A2.A2.A2.A$24A$.A2.A2.A2.A2.A2.A2.A2.A!

Code: Select all

x = 28, y = 16, rule = 0345/2/10
BCH22.HCB$H3A20.3AH$C2AG20.G2AC$EFBF20.FBFE$.2D22.2D$.2C22.2C$.2B22.
2B$.2A22.2A6$3.A2.A2.A2.A2.A2.A2.A2.A$2.24A$3.A2.A2.A2.A2.A2.A2.A2.
A!

Code: Select all

x = 13, y = 30, rule = 0345/2/10
11.A$10.3A$11.A$11.A$10.3A$11.A$11.A$10.3A$11.A$11.A$10.3A$11.A$ABH
G7.A$H2A.F5.3A$.3AEDCBA2.A$I.A.EDCBA2.A$.HGF6.3A$11.A$11.A$10.3A$11.
A$11.A$10.3A$11.A$11.A$10.3A$11.A$11.A$10.3A$11.A!

Code: Select all

x = 28, y = 6, rule = 0345/2/10
.A2.A2.A2.A2.A2.A2.A2.A$24A$.A2.A2.A2.A2.A2.A2.A2.A$13.ABCDEFGHI4.A
$25.3A$26.A!
and oscillators:

Code: Select all

x = 88, y = 59, rule = 0345/2/10
A28.A2$4.A28.A2$A28.A2$4.A28.A2$A28.A2$4.A28.A2$A28.A2$4.A28.A2$A28.
A2$4.A28.A2$A28.A2$4.A28.A2$A28.A2$4.A28.A2$A28.A2$4.A28.A2$A28.A2$
4.A28.A2$A28.A2$4.A28.A2$A28.A2$4.A28.A2$A28.A2$4.A28.A2$A28.A2$4.A
28.A2$A28.A2$4.A28.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A2$AHI26.
AHI$HIH26.HIH$IHA26.IHA3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A!

Code: Select all

x = 177, y = 116, rule = 0345/2/10
16.GE.I57.GE.I$16.H2AE57.H2AE$16.D2A58.D2A$16.CICB57.CICB3$17.2I59.
2I$17.2H59.2H$17.2G59.2G$17.2F59.2F$17.2E19.A39.2E79.A$17.2D18.3A38.
2D78.3A$17.2C19.A39.2C79.A$17.2B59.2B$17.2A59.2A2$11.A6.IHGFEDCBA11.
A13.CDHG16.A6.IHGFEDCBA11.IHGFEDCBA11.IHGFEDCBA11.IHGFEDCBA11.A13.C
DHG$10.3A3.A.IHGFEDCBA14.ABCDEFGHI2.I2AE15.3A3.A.IHGFEDCBA11.IHGFED
CBA11.IHGFEDCBA11.IHGFEDCBA14.ABCDEFGHI2.I2AE$11.A26.2I.ABCDEFGHI2.
C2A17.A86.2I.ABCDEFGHI2.C2A$38.2H12.B.EI103.2H12.B.EI$38.2G119.2G$38.
2F119.2F$38.2E119.2E$38.2D119.2D$38.2C119.2C$38.2B119.2B$38.2A119.2A
3$16.2A59.2A$16.2B59.2B$16.2C59.2C$16.2D59.2D$16.2E59.2E$16.2F59.2F
$16.2G59.2G$IE.B12.2H59.2H$.2AC2.IHGFEDCBA.2I26.A32.2I$E2AI2.IHGFED
CBA14.ABCDEFGHI.A3.3A113.2I$GHDC13.A11.ABCDEFGHI6.A114.2H$159.2G$37.
2A120.2F$37.2B120.2E$17.A19.2C120.2D$16.3A18.2D120.2C$17.A19.2E120.
2B$37.2F120.2A$37.2G$37.2H$37.2I38.2A$77.2B$77.2C$36.BCIC37.2D$37.2A
D37.2E$36.E2AH37.2F$36.I.EG37.2G$77.2H$77.2I$159.2I$159.2H$159.2G$159.
2F$159.2E$159.2D$159.2C$159.2B$159.2A3$77.2A$77.2B$77.2C$77.2D$77.2E
$77.2F$77.2G$77.2H$77.2I$159.2I$159.2H$159.2G$159.2F$159.2E$159.2D$
159.2C$159.2B$159.2A3$77.2A$77.2B$77.2C$77.2D$77.2E$77.2F$77.2G$61.
IE.B12.2H$62.2AC2.IHGFEDCBA.2I86.A$61.E2AI2.IHGFEDCBA14.ABCDEFGHI11.
ABCDEFGHI11.ABCDEFGHI11.ABCDEFGHI.A3.3A$61.GHDC13.A11.ABCDEFGHI11.A
BCDEFGHI11.ABCDEFGHI11.ABCDEFGHI6.A2$158.2A$158.2B$78.A79.2C$77.3A78.
2D$78.A79.2E$158.2F$158.2G$158.2H$158.2I3$157.BCIC$158.2AD$157.E2AH
$157.I.EG!

Code: Select all

x = 26, y = 49, rule = 0345/2/10
9.IHGFEDCBA$2.A2.A2.A2.A2.A2.A2.A2.A$.24A$2.A2.A2.A2.A2.A2.A2.A3.2A
$24.A$24.A$23.3A$24.A$24.A$23.3A$24.A$24.A$23.3A$24.A$24.A$23.3A$24.
A$24.A$23.3A$24.A$24.A$23.3A$24.A$24.A$2.A2.A2.A2.A2.A2.A2.A3.2A$.24A
$2A3.A2.A2.A2.A2.A2.A2.A$.A$.A$3A$.A$.A$3A$.A$.A$3A$.A$.A$3A$.A$.A$
3A$.A$.A$3A$.A$.A$3A$.A!
Brian Prentice

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Re: Free Star (0345/2/10)

Post by bprentice » November 28th, 2014, 7:55 am

A few more guns:

Code: Select all

x = 32, y = 55, rule = 0345/2/10
8.IHGFEDCBA$.A2.A2.A2.A2.A2.A2.A2.A$24A$.A2.A2.A2.A2.A2.A2.A2.A$26.
A2.A$25.6A$26.A3.2A$30.A$30.A$29.3A$30.A13$8.IHGFEDCBA$.A2.A2.A2.A2.
A2.A2.A2.A$24A$.A2.A2.A2.A2.A2.A2.A2.A$26.A2.A$25.6A$26.A3.2A$30.A$
30.A$29.3A$30.A$30.A$29.3A$30.A$30.A$29.3A$30.A$30.A$29.3A$30.A$30.
A$29.3A$30.A$30.A$29.3A$30.A$30.A$29.3A$30.A$30.A$29.3A$30.A!

Code: Select all

x = 50, y = 23, rule = 0345/2/10
30.A$29.3A$30.A11$8.IHGFEDCBA$.A2.A2.A2.A2.A2.A2.A2.A$24A$.A2.A2.A2.
A2.A2.A2.A2.A$26.A21.A$25.3A19.3A$26.A21.A$48.A$47.3A$48.A!

Code: Select all

x = 89, y = 14, rule = 0345/2/10
5.IHGFEDCBA$.A2.A2.A2.A2.A2.A2.A2.A$24A$.A2.A2.A2.A2.A2.A2.A2.A35.A
$26.A2.A27.3A$25.6A27.A$26.A3.2A26.A$30.A26.2A3.A$30.A27.6A$29.3A27.
A2.A$30.A35.A2.A2.A2.A2.A2.A2.A2.A$65.24A$66.A2.A2.A2.A2.A2.A2.A2.A
$75.ABCDEFGHI!

Code: Select all

x = 32, y = 15, rule = 0345/2/10
8.IHGFEDCBA$.A2.A2.A2.A2.A2.A2.A2.A$24A$.A2.A2.A2.A2.A2.A2.A2.A$26.
A2.A$25.6A$26.A3.2A$30.A$30.A$29.3A$30.A$30.A$26.A3.2A$25.6A$26.A2.
A!

Code: Select all

x = 33, y = 14, rule = 0345/2/10
.A5.A2.A2.A2.A2.A2.A$24A$.A2.A2.A2.A2.A2.A2.A2.A$26.A2.A$25.6A.A$26.
A3.2AB$30.A.C$30.A.D$29.3AE$30.A.F$30.A.G$26.A3.2AH$25.6A.I$26.A2.A!

Code: Select all

x = 23, y = 10, rule = 0345/2/10
10.F.F$9.G.A.G$8.GH3AHG$7.F.A.A.A.F$6.B.2A3.2A.B$3.GHCH2A.E.E.2AHCH
G$ABC3A2.A2.A2.A2.3ACBA$ABCG2A.9A.2AGCBA$3.DECH.A2.A2.A.HCED$7.GFED
.DEFG!

Code: Select all

x = 5, y = 6, rule = 0345/2/10
2.A$.3A$2A.2A$.A.A$.3A$2.A!
Brian Prentice

User avatar
A for awesome
Posts: 1942
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Re: Free Star (0345/2/10)

Post by A for awesome » November 28th, 2014, 10:38 am

A breeder that fires growing spaceships:

Code: Select all

x = 15, y = 15, rule = 0345/2/10
8.DCB$4.2A.E.A.A$3.A2BDF3A$2.AB2CDH2A.I$.ABCDFG3.B$.ABCFGI.A.C$2.2DGI
E3ADF$.EFH2.A.A.AG$D.2A.3A.2A$C3A2.A.A.A.CB$B.A.BCD3A.2A.A$.A.I2.FG2.
A.2A$9.C3A.I$9.B.A$10.A.I!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

bprentice
Posts: 629
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Location: Coos Bay, Oregon

Re: Free Star (0345/2/10)

Post by bprentice » November 28th, 2014, 2:03 pm

Five more guns:

Code: Select all

x = 12, y = 26, rule = 0345/2/10
9.HCB$8.3AH$8.G2AC$8.FBFE$9.2D$.A7.2C$3A6.2B$.A7.2A$.A$2A3.A2.A$.9A
$2.A2.A2.A3$2.A2.A2.A$.9A$2A3.A2.A$.A$.A7.2A$3A6.2B$.A7.2C$9.2D$8.F
BFE$8.G2AC$8.3AH$9.HCB!

Code: Select all

x = 7, y = 23, rule = 0345/2/10
2.A2.A$.6A$.A3.A$2A$.A$.2A$.A$.A$3A$.A$.A$3A$.A$.A$3A$.A$.A$.2A$.A$
2A$.A3.A$.6A$2.A2.A!

Code: Select all

x = 35, y = 23, rule = 0345/2/10
2.A2.A23.A2.A$.6A21.6A$.A3.A23.A3.A$2A31.2A$.A31.A$.2A29.2A$.A31.A$
.A31.A$3A29.3A$.A31.A$.A31.A$3A29.3A$.A31.A$.A31.A$3A29.3A$.A31.A$.
A31.A$.2A29.2A$.A31.A$2A31.2A$.A3.A23.A3.A$.6A21.6A$2.A2.A23.A2.A!

Code: Select all

x = 55, y = 97, rule = 0345/2/10
45.A$44.3A$45.A5$46.A$45.3A5.A$46.A5.3A$26.A19.A6.A$25.3A17.3A$26.A
19.A$19.A2.A$18.6A6.A$19.A2.A$18.BA12$18.BA$19.A2.A$18.6A6.A$19.A2.
A$26.A19.A$25.3A17.3A$26.A19.A6.A$46.A5.3A$45.3A5.A$46.A5$45.A$44.3A
$45.A8$45.A$44.3A$45.A5$46.A$45.3A5.A$46.A5.3A$26.A19.A6.A$25.3A17.
3A$26.A19.A$.A2.A2.A2.A2.A2.A2.A2.A$24A6.A$.A2.A2.A2.A2.A2.A2.A2.A$
11.IHGFEDCBA12$11.IHGFEDCBA$.A2.A2.A2.A2.A2.A2.A2.A$24A6.A$.A2.A2.A
2.A2.A2.A2.A2.A$26.A19.A$25.3A17.3A$26.A19.A6.A$46.A5.3A$45.3A5.A$46.
A5$45.A$44.3A$45.A!

Code: Select all

x = 39, y = 33, rule = 0345/2/10
12.CAFE$12.D3A$13.2AF$12.IEIH$13.2G$13.2F$13.2E$13.2D$13.2C$13.2B$13.
2A2$23.IHGFEDCBA$3.A2.A2.A2.A10.IHGFEDCBA$2.12A8.IHGFEDCBA$3.A5.A2.
A8.IHGFEDCBA3.2A$19.IHGFEDCBA5.2B$9.I8.IHGFEDCBA6.2C$9.HI22.2D$9.GH
2I20.2E$9.FG2H20.2F$9.EF2G20.2G$9.DE2F19.HIEI$9.CD2E19.F2A$9.BC2D19.
3AD$9.AB2C19.EFAC$10.A2B$11.2A$D.EG17.A$E2AHFEDCBA10.3A$.2ADFEDCBA11.
A8.A6.A$BCIH25.3A4.3A$30.A6.A!
Brian Prentice

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Alexey_Nigin
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Re: Free Star (0345/2/10)

Post by Alexey_Nigin » November 28th, 2014, 5:04 pm

I have constructed a really high-period gun. One of its components was found by Brian Prentice - thank you, Brian!

Code: Select all

x = 229, y = 92, rule = 0345/2/10
214.A$213.3A$214.A5$215.A$214.3A4.A$215.A4.3A$206.A3.A4.A5.A$205.3A6.
3A4.A$206.A8.A5.2A$37.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A
2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A
2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A18.A$36.168A5.A11.
A$37.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A
2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A
2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A18.2A$201.IA18.A$221.A$221.2A$203.A
8.A8.A$202.12A7.A$203.A2.A2.A2.A8.2A$221.A5.A$221.A4.3A$203.A2.A2.A2.
A8.2A4.A$202.12A7.A5.A$203.A8.A8.A5.2A$221.2A4.A$221.A5.A$201.IA18.A
5.2A$28.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A
2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A
2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A18.2A4.A$27.177A5.A11.A
5.A$28.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A
2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A
2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A18.A5.2A$206.A8.A5.2A4.A
$205.3A6.3A4.A5.A$206.A3.A4.A5.A5.2A$215.A4.3A4.A$214.3A4.A5.A$215.A
11.2A$227.A$208.A18.A$207.3A17.2A$208.A18.A$208.A5.A12.A$207.2A4.3A
11.2A$208.A5.A12.A$208.A5.A12.A$207.2A4.3A11.2A$208.A5.A12.A$208.A18.
A$207.3A17.2A$208.A18.A$227.A$215.A11.2A$214.3A4.A5.A$215.A4.3A4.A$
206.A3.A4.A5.A5.2A$205.3A6.3A4.A5.A$206.A8.A5.2A4.A$19.A2.A2.A2.A2.A
2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A
2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A
2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A18.A5.2A$18.186A5.A11.A5.A$19.A2.A2.
A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.
A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.
A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A18.2A4.A$201.IA18.A5.2A$221.A
5.A$221.2A4.A$203.A8.A8.A5.2A$202.12A7.A5.A$203.A2.A2.A2.A8.2A4.A$
221.A4.3A$221.A5.A$203.A2.A2.A2.A8.2A$202.12A7.A$203.A8.A8.A$221.2A$
221.A$201.IA18.A$.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.
A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.
A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.
A2.A2.A2.A2.A18.2A$204A5.A11.A$.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A
2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A
2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A
2.A2.A2.A2.A2.A2.A2.A2.A2.A18.A$206.A8.A5.2A$205.3A6.3A4.A$206.A3.A4.
A5.A$215.A4.3A$214.3A4.A$215.A5$214.A$213.3A$214.A!
Its period is about 10M generations, although I have not calculated the exact value yet.
There are 10 types of people in the world: those who understand binary and those who don't.

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

Re: Free Star (0345/2/10)

Post by bprentice » November 28th, 2014, 9:10 pm

Alexey_Nigin wrote:I have constructed a really high-period gun.
Well done!

oscar.py reports a period of 13,214,880 for your gun.

Brian Prentice
Last edited by bprentice on November 29th, 2014, 9:57 am, edited 2 times in total.

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

Re: Free Star (0345/2/10)

Post by c0b0p0 » November 29th, 2014, 12:26 am

Here is a 7-cell gun.

Code: Select all

x = 3, y = 4, rule = 0345/2/10
2.G$C2A$.2A$2.A!

knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

Re: Free Star (0345/2/10)

Post by knightlife » November 29th, 2014, 5:56 pm

I always liked Star Wars, but this rule adds complexity with easily formed spaceships of other velocities.
Compact gun for 7w-2c3 spaceship (7 cells wide, 2c/3 velocity):

Code: Select all

x = 18, y = 21, rule = 0345/2/10
7.GHDC3.DEGF$7.C2A.B.C.2AD$7.H3A.5AH$7.G.A.CBC.A.G$8.FEDABADEF2$.A$3A
$.A2$9.A5.A2$.A$3A$.A2$8.FEDABADEF$7.G.A.CBC.A.G$7.H3A.5AH$7.C2A.B.C.
2AD$7.GHDC3.DEGF!
I wouldn't doubt there exists a smaller "natural" gun for this spaceship.

EDIT:
Sliding gun / splitter:

Code: Select all

x = 32, y = 21, rule = 0345/2/10
7.GHDC3.DEGF$7.C2A.B.C.2AD$7.H3A.5AH$7.G.A.CBC.A.G$8.FEDABADEF2$.A$3A
$.A29.A4$.A$3A$.A2$8.FEDABADEF$7.G.A.CBC.A.G$7.H3A.5AH$7.C2A.B.C.2AD$
7.GHDC3.DEGF!

bprentice
Posts: 629
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: Free Star (0345/2/10)

Post by bprentice » November 30th, 2014, 9:46 am

The variety of guns that can be constructed with this rule is fascinating. Some more examples:

Code: Select all

x = 71, y = 14, rule = 0345/2/10
10.A2.A2.A2.A31.A2.A2.A2.A$9.12A29.12A$10.A2.A2.A2.A31.A2.A2.A2.A$3.
A2.A16.A2.A17.A2.A16.A2.A$A.6A14.6A.A11.A.6A14.6A.A$B2A3.A16.A3.2AB
11.B2A3.A16.A3.2AB$C.A24.A.C11.C.A24.A.C$D.A24.A.D11.D.A24.A.D$E3A22.
3AE11.E3A22.3AE$F.A24.A.F11.F.A24.A.F$G.A24.A.G11.G.A24.A.G$H2A3.A16.
A3.2AH11.H2A3.A16.A3.2AH$I.6A14.6A.I11.I.6A14.6A.I$3.A2.A16.A2.A17.
A2.A16.A2.A!

Code: Select all

x = 5, y = 55, rule = 0345/2/10
.HIG$G.3A$F3AG$E.A.F$.2DE$.2C$.2B$.2A2$.2A$.2B$.2C$.2DE$E.A.F$F3AG$
G.3A$.HIG8$GE.I$H2AE$D2A$CICB3$.2I$.2H$.2G$.2F$.2E$.2D$.2C$.2B$.2A2$
.2A$.2B$.2C$.2D$.2E$.2F$.2G$.2H$.2I3$CICB$D2A$H2AE$GE.I!

Code: Select all

x = 20, y = 20, rule = 0345/2/10
.FAC$3AD3.IHGFEDCBA$F2A4.IHGFEDCBA$HIED$17.2A$17.2B$17.2C$17.2D$17.
2E$17.2F$17.2G$17.2H$17.2I4$16.D.DC$16.E3A$16.I2AF$16.HFA!

Code: Select all

x = 14, y = 75, rule = 0345/2/10
HDIA$I2AB.IHGFEDCBA$D2AH.IHGFEDCBA$FGCB$10.2A$10.2B$10.2C$10.2D$10.
2E$10.2F$10.2G$10.2H$10.2I8$9.GHDH$9.E2AI$10.2AC$9.DE.B8$9.DE.B$10.
2AC$9.E2AI$9.GHDH8$10.2I$10.2H$10.2G$10.2F$10.2E$10.2D$10.2C$10.2B$
10.2A$HDIA$I2AB.IHGFEDCBA$D2AH.IHGFEDCBA$FGCB$10.2A$10.2B$10.2C$10.
2D$10.2E$10.2F$10.2G$10.2H$10.2I8$9.GHDH$9.E2AI$10.2AC$9.DE.B!

Code: Select all

x = 151, y = 44, rule = 0345/2/10
9.EFAC46.CAFE26.EFAC45.CAFE$9.3AD46.D3A26.3AD45.D3A$9.F2A48.2AF26.F
2A47.2AF$9.HIEI46.IEIH26.HIEI45.IEIH9$10.2I48.2I28.2I47.2I$10.2H48.
2H28.2H47.2H$10.2G48.2G28.2G47.2G$10.2F48.2F28.2F47.2F$10.2E48.2E28.
2E47.2E$10.2D48.2D28.2D47.2D$10.2C48.2C28.2C47.2C$10.2B11.IHGFEDCBA
8.ABCDEFGHI11.2B28.2B11.IHGFEDCBA7.ABCDEFGHI11.2B$IE.B6.3A11.IHGFED
CBA6.ABCDEFGHI11.3A6.B.EI8.IE.B6.3A11.IHGFEDCBA5.ABCDEFGHI11.3A6.B.
EI$.2AC2.IHGFEDCBA11.IHGFEDCBA2.ABCDEFGHI11.ABCDEFGHI2.C2A10.2AC2.I
HGFEDCBA11.IHGFEDCBA.ABCDEFGHI11.ABCDEFGHI2.C2A$E2AI2.IHGFEDCBA11.I
HGFEDCBA2.ABCDEFGHI11.ABCDEFGHI2.I2AE8.E2AI2.IHGFEDCBA11.IHGFEDCBA.
ABCDEFGHI11.ABCDEFGHI2.I2AE$GHDC6.3A11.IHGFEDCBA6.ABCDEFGHI11.3A6.C
DHG8.GHDC6.3A11.IHGFEDCBA5.ABCDEFGHI11.3A6.CDHG$10.2B11.IHGFEDCBA8.
ABCDEFGHI11.2B28.2B11.IHGFEDCBA7.ABCDEFGHI11.2B$10.2C48.2C28.2C47.2C
$10.2D48.2D28.2D47.2D$10.2E48.2E28.2E47.2E$10.2F48.2F28.2F47.2F$10.
2G48.2G28.2G47.2G$10.2H48.2H28.2H47.2H$10.2I48.2I28.2I47.2I9$9.HIEI
46.IEIH26.HIEI45.IEIH$9.F2A48.2AF26.F2A47.2AF$9.3AD46.D3A26.3AD45.D
3A$9.EFAC46.CAFE26.EFAC45.CAFE!

Code: Select all

x = 59, y = 18, rule = 0345/2/10
9.ECHG$.A7.F2AC33.CDIA$3A6.B2AH33.I2AB7.A$.A7.AGA34.D2AH6.3A$.A44.F
GCG7.A$2A45.2E8.A$.A45.2D8.2A$.A3.H.I6.I.H30.2C8.A$2A2.AIH8.HIA27.A
B2ABA6.A$.A3.H.I6.I.H29.B2.B7.2A$.A27.A15.AB2ABA6.A$2A45.2C8.A$.A45.
2D8.2A$.A7.AGA35.2E8.A$3A6.B2AH33.FGCG7.A$.A7.F2AC33.D2AH6.3A$9.ECH
G33.I2AB7.A$46.CDIA!
This pattern which is based on one of the guns above beautifully illustrates the complexity of this rule.

Code: Select all

x = 85, y = 83, rule = 0345/2/10
14$58.FGBD$58.B2AE3.A$58.G3A2.ACA$58.I.F3.CEC$64.EGE$64.GIG$64.I.I5$
71.IGECA$72.IGECA$71.IGECA$34.A2$75.AED$37.A36.F2AB$75.2AG$58.A15.IGB
F19$20.FBGI15.A$20.G2A$20.B2AF36.A$20.DEA2$63.A$22.ACEGI$21.ACEGI$22.
ACEGI5$31.I.I$31.GIG$31.EGE$31.CEC3.F.I$31.ACA2.3AG$32.A3.E2AB$36.DBG
F!
Brian Prentice
Last edited by bprentice on November 30th, 2014, 10:39 am, edited 1 time in total.

User avatar
A for awesome
Posts: 1942
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1
Contact:

Re: Free Star (0345/2/10)

Post by A for awesome » November 30th, 2014, 10:00 am

Wow.

Code: Select all

x = 7, y = 8, rule = 0345/2/10
3.A$2.3A$.A3.A$7A$.A.A.A$3.A$2.3A$3.A!
P50 gun:

Code: Select all

x = 9, y = 15, rule = 0345/2/10
.AB3.BA$2.5A$I2A.A.2AI$H.2A.2A.H$.G.3A.G$2.F.A.F$3.E.E$3.AEA$3.F.F$2.
G.A.G$.H.3A.H$I.2A.2A.I$.2A.A.2A$A.5A.A$.BC3.CB!
Gun that fires 13-wide 2c/3 spaceships:

Code: Select all

x = 7, y = 7, rule = 0345/2/10
3.A$2.3A$.A.A.A$2A3.2A$.2A.2A$2.3A$3.A!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

Re: Free Star (0345/2/10)

Post by knightlife » November 30th, 2014, 8:29 pm

Variable period gun for any even period 12 or more:

Code: Select all

x = 89, y = 36, rule = 0345/2/10
57.A7.A$IHGFEDCBA47.3A5.3A$IHGFEDCBA48.A7.A$57.A7.A$56.3A5.3A$57.A7.A
25$57.A23.A5.A$IHGFEDCBA47.3A21.3A3.3A$IHGFEDCBA48.A23.A5.A$57.A23.A$
56.3A21.3A$57.A23.A!
A plus can block one barrel as in Star Wars rule.

EDIT:

Space invaders

Code: Select all

x = 15, y = 20, rule = 0345/2/10
.2A9.2A$3A9.3A$.3A7.3A$BCA9.ACB$2ABD7.DB2A$D2E2A5.2A2ED$CACDA5.ADCAC$
FGCA2.ABA2.ACGF$2EFH.2A.2A.HF2E$H2I.FC3ACF.2IH$GAGHEDEAEDEHGAG$2.G.GD
3.DG.G$2I2.HG3CGH2.2I$3.2IHD.DH2I$.A2.HGFEFGH2.A$3.IA.I.I.AI$4.HGF.FG
H$6.EDE$6.BDB$6.ABA!

towerator
Posts: 328
Joined: September 2nd, 2013, 3:03 pm

Re: Free Star (0345/2/10)

Post by towerator » December 1st, 2014, 5:12 pm

The outer layer of this "orb" seems totally indestructible (I need confirmation). New parts may be added or destroyed by random events (An exterior intervention may burst it), but the structure seems to last forever. At the center is a 90 degree bounce of a photon over a diagonal "mirror"

Code: Select all

x = 18, y = 18, rule = 0345/2/10
3.FI9.I$2.G.10A.H$.H.2A2.A2.A2.2A.G$I.2A.A.A2.A.A.2A.F$.2A.A.6A.A.2AI
$.A.A.2A4.2A.A.A$.A2.2A.FGFC.2A2.A$.4A.GHGFDB.4A$.A2.A5.2C.A2.A$.A2.A
5.2B.A2.A$.4A5.A2.4A$.A2.2A6.2A2.A$.A.A.2A4.2A.A.A$I2A.A.6A.A.2A$F.2A
.A.A2.A.A.2A.I$.G.2A2.A2.A2.2A.H$2.H.10A.G$3.I9.IF!
And as this one has a similar proprety for the inside, it opens the billard-table world!

Code: Select all


x = 21, y = 19, rule = 0345/2/10
4.IB2.A2.A2.CB$5.10A.A$2.A.2A8.2A$.B.2A4.FGHIA.2A.I$.C2A4.E.A2.2A.2AB
$2.A5.D4A.2A.A$2.A5.C.A.2A.I.A$.2A6.BA2.A.H.2A$2.A7.5AG.A$2.A.AF5.B.A
.F.A$.2A.F2.IA3.CDE2.2A$2.A.GCH.I8.A$2.A.2A.H9.A$.B2A.2AC.F6.2AC$.I.
2A.AGFA5.2A.B$4.2A8.2A.A$3.A.10A$4.BC2.A2.A2.BI!
This is game of life, this is game of life!
Loafin' ships eaten with a knife!

flipper77
Posts: 197
Joined: October 24th, 2010, 3:25 am
Location: Spokane, WA

Re: Free Star (0345/2/10)

Post by flipper77 » December 1st, 2014, 7:05 pm

towerator wrote:The outer layer of this "orb" seems totally indestructible (I need confirmation)
The first pattern is 100% indestructible, both from the inside and outside, and I'll show why
Consider the pattern below:

Code: Select all

x = 18, y = 18, rule = 0345/2/10
3.2E8I2E$2.EI10AIE$.EI2A2.A2.A2.2AIE$EI2A.A.A2.A.A.2AIE$E2A.A.6A.A.2A
E$IA.A.2A4I2A.A.AI$IA2.2AIE2.EI2A2.AI$I4AIE4.EI4AI$IA2.AI6.IA2.AI$IA
2.AI6.IA2.AI$I4AIE4.EI4AI$IA2.2AIE2.EI2A2.AI$IA.A.2A4I2A.A.AI$E2A.A.
6A.A.2AE$EI2A.A.A2.A.A.2AIE$.EI2A2.A2.A2.2AIE$2.EI10AIE$3.2E8I2E!
Here, state 9 cells represent the exterior region where births CANNOT happen because the only birth rule is with 2 neighbors, no more, no less, unless the existing structure is destroyed, this takes us to the next part

Next, state 5 cells represent the only cells that can turn ON while bordering the exterior of the pattern, and when you turn all of those cells on, the most neighbors any one cell in the structure can get is 5, which is one of the survival conditions set by the rule.

Now as long as cells in the 9 region remains relatively clear, the pattern will stick around indefinitely. When I say "relatively", I mean don't have anything like this:

Code: Select all

x = 18, y = 18, rule = 0345/2/10
3.2EI3A4I2E$2.EI10AIE$.E3A2.A2.A2.2AIE$EI2A.A.A2.A.A.3AE$E2A.A.6A.A.
2AE$IA.A.2A4I2A.A.AI$IA2.2AIE2.EI2A2.AI$5AIE4.EI4AI$2A2.AI6.IA2.AI$2A
2.AI6.IA2.2A$I4AIE4.EI5A$IA2.2AIE2.EI2A2.2A$IA.A.2A4I2A.A.AI$E2A.A.6A
.A.2AE$EI2A.A.A2.A.A.3AE$.EI2A2.A2.A2.2AIE$2.E12AE$3.2E8I2E!
EDIT: In addition to billiard tables, one thing you could do is create a big box with an indestructible interior, draw some random lines or put a random soup of sorts inside the box, and observe what happens. Sometimes you'll see very interesting things going on. I did that once with star wars, and a certain gun popped up with the ability to create chains of plusses of up to 20 plusses long, the post is here if you want to see.

User avatar
A for awesome
Posts: 1942
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1
Contact:

Re: Free Star (0345/2/10)

Post by A for awesome » December 3rd, 2014, 2:09 pm

Tiny breeder:

Code: Select all

x = 5, y = 5, rule = 0345/2/10
.FG.E$E.2AF$D4A$C.A$.BA!
Edit: p20 gun for the smallest 2c/3 spaceship:

Code: Select all

x = 23, y = 21, rule = 0345/2/10
.A19.A$3A7.A.A7.3A$.A6.AB.A.BA6.A$.A6.BC3ACB6.A$2A6.CD.A.DC6.2A$.A5.B
.A.A.A.B5.A$.A5.9A5.A$2A7.A3.A7.2A$.A6.IHGFGHI6.A$.A19.A$3A17.3A$.A
19.A2$6.A9.A$5.13A$6.A2.A.A.A2.A$10.A.A$10.A.A$9.2A.2A$10.3A$11.A!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

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