Arrows

[edwardfanboy]

This is a thread for a rule I made called "Arrows".
It is the first rule I made with a von Neumann neighborhood.

Arrow.zip

Arrows table & icons

(1.69 KiB) Downloaded 536 times

See attached file ^ for table and icons files.

[Wojowu]

Really nice. I have found in it many logic gates (I think all useful):

Code: Select all

x = 49, y = 108, rule = Arrow
25.Q2.2Q$24.Q.Q.Q.Q$18.G5.Q.Q.2Q$7.B3.B13.Q2.Q.Q2$17.F2$3.B7.B$18.E4$
18.K5.Q2.Q2.Q2.3Q$24.2Q.Q.Q.Q2.Q$24.Q.2Q.Q.Q2.Q$3.B3.B7.B8.Q2.Q2.Q3.Q
2$17.F4$16.G.K5.Q2.Q2.Q2.2Q$9.B3.B10.2Q.Q.Q.Q.Q.Q$24.Q.2Q.Q.Q.2Q$15.F
8.Q2.Q2.Q2.Q.Q2$5.B7.B3.F$16.E2$24.Q.Q.Q2.Q2.Q2.2Q$24.Q.Q.2Q.Q.Q.Q.Q.
Q$18.G6.Q2.Q.2Q.Q.Q.2Q$9.B3.B10.Q.Q.Q2.Q2.Q2.Q.Q2$15.J2$5.B7.B$18.E2$
24.Q.Q2.Q2.2Q$18.G.K3.Q.Q.Q.Q.Q.Q$9.B3.B6.C4.Q2.Q.Q.2Q$24.Q.Q2.Q2.Q.Q
$15.J2.B2$5.B7.B5.F$18.E3$20.K$17.G6.2Q4.2Q$14.B9.Q.Q2.Q$24.2Q4.Q$16.
J7.Q.Q.2Q2$19.F2$2.B$17.E3$20.K$17.G6.3Q$B13.B10.Q$25.Q$16.J8.Q2$19.F
4$24.3Q.Q2.Q.2Q2.Q2.Q2.Q2.3Q$24.Q.Q.2Q.Q.Q.Q.2Q.Q.Q.Q2.Q$18.G5.3Q.Q.
2Q.Q.Q.Q.2Q.Q.Q2.Q$9.B3.B10.Q.Q.Q2.Q.2Q2.Q2.Q2.Q3.Q$19.Q$17.F2$5.B7.B
$19.E$24.3Q.Q2.Q.2Q$24.Q.Q.2Q.Q.Q.Q$24.3Q.Q.2Q.Q.Q$24.Q.Q.Q2.Q.2Q$16.
G$7.B3.B5.F2$13.J5.Q$13.J5.Q2$3.B7.B6.C$16.E.I$24.Q2.Q.3Q.Q2.Q.2Q$24.
2Q.Q.Q.Q.2Q.Q.Q.Q$24.Q.2Q.3Q.Q.2Q.Q.Q$24.Q2.Q.Q.Q.Q2.Q.2Q2$16.J$16.G$
7.B3.B2$13.J5.Q$13.J5.Q2$3.B7.B$16.E2$18.I!

It is also not hard to show that Arrows are omniperiodic:

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x = 26, y = 35, rule = Arrow
2.G4.G4.G4.G5.G$F.C2.F.C2.F.C2.F.C3.F.C$.A.H4.H$.E4.E6.H$11.E6.H$16.E
7.H$.2Q3.Q.Q13.E$3.Q2.Q.Q3.2Q$2.Q3.3Q2.Q5.Q3.Q2.Q$.Q6.Q2.2Q3.Q.Q2.Q.Q
.Q$.3Q4.Q2.Q.Q3.Q3.Q.Q.Q$12.Q3.Q.Q2.Q.Q.Q$17.Q3.Q2.Q3$2.G4.G4.G4.G4.G
$F.C2.F.C2.F.C2.F.C2.F.C2$.A.H$.E$6.A.H$6.E$.2Q8.A.H$3.Q7.E$2.Q3.3Q7.
A.H$3.Q2.Q9.E$.2Q4.Q3.3Q7.A.H$8.Q4.Q7.E$6.2Q4.Q4.Q$12.Q3.Q.Q$12.Q4.2Q
2.Q.Q$18.Q2.Q.Q$16.2Q3.Q.Q$21.Q.Q$21.Q.Q!

Now I am working on arrow guns, I've found period 3,4 and 6, and I hope I'll find more (maybe Arrows are also omniperiodic on gun periods)
Really cool rule table, and for me best one with von Neumann neighborhood

[edwardfanboy]

1. Now I am working on arrow guns, I've found period 3,4 and 6, and I hope I'll find more (maybe Arrows are also omniperiodic on gun periods)
2. Really cool rule table, and for me best one with von Neumann neighborhood

1.
Let's see those guns.
It comes with a p4 gun already.
2. Thanks.
EDIT: See http://conwaylife.com/forums/viewtopic.php?f=11&t=1066 for another rule with Von Neumann neighborhood.

[Wojowu]

My guns:

Code: Select all

x = 27, y = 131, rule = Arrow
20.2Q3.O$22.Q3.Q$21.Q2.F$22.Q3.Q$20.2Q3.I2$20.Q.Q$20.Q.Q$20.3Q.N$22.Q
$22.Q2$23.G$20.FB$16.3Q5.DP$16.Q4.E$17.Q4.F$18.Q2.G$16.2Q7.L$20.F$23.
E2$21.2Q$20.Q4.Q$20.2Q2.N$20.Q.Q$21.Q3.M2$20.Q4.O$19.Q.Q2.Q$20.Q2.J$
19.Q.Q$20.Q3.I2$23.K$15.Q2.Q$15.Q.Q.Q.F$15.Q.Q.Q$15.Q.Q.Q4.H$15.Q2.Q
3.E2$23.K2$15.Q.2Q$15.Q3.Q$15.Q2.Q2.F$15.Q.Q$15.Q.3Q4.H$22.E2$23.G$
19.G.J3.P$16.FB4.Q.Q$20.DP$17.E$18.F$9.Q.3Q3.G$9.Q.Q9.L$9.Q2.Q3.F$9.Q
3.Q2.O2.E$9.Q.2Q4.Q$15.F3.D$17.Q$16.I2$25.K$13.2Q3.Q4.K$15.Q.Q.Q$14.Q
2.Q.Q.F$13.Q3.Q.Q$13.3Q2.Q5.H$22.E3$11.2Q2.Q.Q2.O$13.Q.Q.Q3.Q.Q.Q$12.
Q2.3Q.F$11.Q5.Q3.Q$11.3Q3.Q2.IN3.I$22.Q2.L$23.I2$24.K$22.J2.Q$12.2Q3.
Q4.K$14.Q.Q.Q$13.Q2.Q.Q.F$14.Q.Q.Q$12.2Q3.Q5.H$21.E3$16.O$15.Q2.G$14.
J$5.Q.Q2.Q$5.Q.Q.Q.Q3.I$5.3Q.Q.Q$7.Q.Q.Q4.K3.F$7.Q2.Q$14.F10.L2$17.H$
15.E$21.I3$18.K$16.J2.Q$7.2Q2.Q4.K3.F$6.Q3.Q.Q$6.2Q2.Q.Q.F10.L$6.Q.Q.
Q.Q$7.Q3.Q5.H$15.E$21.I3$12.O$11.Q5.G$10.J2$Q.2Q3.Q3.I2.K$Q3.Q.Q.Q3.J
2.Q3.F$Q2.Q2.Q.Q3.K$Q.Q3.Q.Q$Q.3Q2.Q2.F13.L$17.Q$13.H$11.E$20.I!

Periods 3,4,5,6,8,10,12,15,20,24,30,40,60,120. Most of guns are big, especially period 15, and I'm sure most of them can be made smaller. Most of them were made today, because today I've found period 10 gun, from which I made period 5 and from them periods 15,20,30,40,60 and 120. I think it's enough work for one day, but tomorrow I'll continue search Exercise for next week: period 7 gun. Exercise for further time: prove/disprove omniperiodicity in terms of guns

Edit 1:

Exercise for next week: period 7 gun

Never mind:

Code: Select all

x = 11, y = 13, rule = Arrow
2.K5.O$Q3.H.F3.Q2$8.C2$7.A2$8.C2$7.A$5.G$.F7.H$3.I3.M!

Edit 2:

Exercise for further time: prove/disprove omniperiodicity in terms of guns

Very close. Odd periods:

Code: Select all

x = 95, y = 33, rule = Arrow
2.K5.O5.K5.O5.K5.O5.K5.O5.K5.O5.K5.O5.K5.O5.K5.O$Q3.H.FB2.Q.Q3.H.F.C.
Q.Q3.H.F3.Q.Q3.H.F.C.Q.Q3.H.F3.Q.Q3.H.F.C.Q.Q3.H.F3.Q.Q3.H.F.C.Q$5.G$
.F6.DH9.A12.C23.C23.C$3.I3.M$20.C10.A12.C23.C23.C$17.G$13.F5.A.H10.C
10.A12.C23.C$15.I3.M$31.A12.C10.A12.C23.C$29.G$25.F7.H9.A12.C10.A12.C
$27.I3.M$55.A12.C10.A12.C$41.G$37.F5.A.H21.A12.C10.A$39.I3.M$55.A23.A
12.C$53.G$49.F7.H9.A23.A$51.I3.M$79.A$65.G$61.F5.A.H21.A$63.I3.M$79.A
$77.G$73.F7.H9.A$75.I3.M2$89.G$85.F5.A.H$87.I3.M!

Even periods not divisible by 4:

Code: Select all

x = 41, y = 29, rule = Arrow
2.K5.K5.K5.K5.K5.K5.K$Q3.H.Q3.H.Q3.H.Q3.H.Q3.H.Q3.H.Q3.H2$37.F$39.I3$
31.F$33.I3$25.F$27.I3$19.F$21.I3$13.F$15.I3$7.F$9.I3$.F$3.I!

Edit 3:

Edit 2:

Exercise for further time: prove/disprove omniperiodicity in terms of guns

Very close...

Never mind. Periods divisible by 8:

Code: Select all

x = 59, y = 25, rule = Arrow
.G.Q9.G.Q9.G.Q9.G.Q9.G.Q$4.L11.L11.L11.L11.L3$F9.L$3.I3$6.I5.F9.L$15.
I3$18.I5.F9.L$27.I3$30.I5.F9.L$39.I3$42.I5.F9.L$51.I3$54.I!

Periods divisible by 4 but not by 8:

Code: Select all

x = 59, y = 27, rule = Arrow
.G.Q9.G.Q9.G.Q9.G.Q9.G.Q$3.BL10.BL10.BL10.BL10.BL5$F9.L$3.I3$6.I5.F9.
L$15.I3$18.I5.F9.L$27.I3$30.I5.F9.L$39.I3$42.I5.F9.L$51.I3$54.I!

Odd periods+Even periods not divisible by 4+Periods divisible by 4 but not by 8+Periods divisible by 8=OMNIPERIODICITY (in terms of guns) PROOF (if it has any holes please say me)

[edwardfanboy]

This is a new version of Arrows with this added feature:
When a moving arrow collides with a reflector side-on, the reflector moves.
Demo RLE:

Code: Select all

x = 3, y = 1, rule = ArrowV2
N.G!

Table & icons:

ArrowV2.zip

Arrow V2 Rule Table

(2.51 KiB) Downloaded 475 times

Make sure you have the latest version of Golly!

P.S. BIG Thank-you Wojowu for devoting some of his time to prove that Arrows is omniperodic in both oscillators AND guns!

[Wojowu]

I've found a little nice pattern:

Code: Select all

x = 2, y = 2, rule = ArrowV2
TU$RS!

It can be sticked to itself:

Code: Select all

x = 8, y = 4, rule = ArrowV2
TUTUTUTU$RSRSRSRS$TUTUTUTU$RSRSRSRS!

It can be made simply into extensible period 3 gun:

Code: Select all

x = 10, y = 6, rule = ArrowV2
3.A2.A.B$.TUTUTUTU$DRSRSRSRS$.TUTUTUTUB$.RSRSRSRS$.D2.C3.B!

My patterns also work in ArrowV2, so here are they commpressed into one zip file
Two suggestions about new rule table:
1.Flying arrow hitting reflector from back also moves it (maybe also from front, reflecting arrow to from it flown isn't to useful (or maybe moving reflector AND reflecting arrow))
2.Arrows hitting from both sides don't move reflector in either side

Edit:
Working 7-segment display! I've made two versions:
1.Uses only streams of arrows and reflectors in display, and is hard to distinguish between display and "wiring". It can be set by deleting blocker on left under given number. To reset simply put blocker back

Code: Select all

x = 598, y = 565, rule = ArrowV2
491.G$157.F2$490.F$489.G93.G$201.F395.H97$490.G$245.F2$489.F$489.G94.
G$289.F304.H97$490.G$333.F2$489.F95.Q8$377.F$593.E$152.Q3FQ39.Q3.Q39.
Q3.Q39.Q3.Q39.Q3.Q39.Q3.Q39.Q3.Q$196.G223.G$196.G223.G$196.G223.G$
152.Q3.Q39.Q3.Q39.Q3FQ39.Q3.Q39.Q3.Q39.Q3.Q39.Q3.Q$284.G91.G$284.G91.
G$284.G91.G$152.Q3.Q39.Q3.Q39.Q3.Q39.Q3.Q39.Q3FQ39.Q3.Q39.Q3.QF$596.E
$152.F8.H34.F8.H34.F8.H34.F8.H34.F8.H34.F8.H34.F8.H$158.E43.E43.E43.E
43.E43.E43.E2$150.F12.H30.F12.H30.F12.H30.F12.H30.F12.H30.F12.H30.F
12.H$160.E43.E43.E43.E43.E43.E43.E2$148.F16.H26.F16.H26.F16.H26.F16.H
26.F16.H26.F16.H26.F16.H$162.E43.E43.E43.E43.E43.E43.E2$146.F20.H22.F
20.H22.F20.H22.F20.H22.F20.H22.F20.H22.F20.H$164.E43.E43.E43.E43.E43.
E43.E2$144.F24.H18.F24.H18.F24.H18.F24.H18.F24.H18.F24.H18.F24.H$166.
E43.E43.E43.E43.E43.E43.E2$142.F28.H14.F28.H14.F28.H14.F28.H14.F28.H
14.F28.H14.F28.H$168.E43.E43.E43.E43.E43.E43.E2$140.F32.H10.F32.H10.F
32.H10.F32.H10.F32.H10.F32.H10.F32.H$170.E43.E43.E43.E43.E43.E43.E2$
138.F36.H6.F36.H6.F36.H6.F36.H6.F36.H6.F36.H6.F36.H$172.E43.E43.E43.E
43.E43.E43.E2$136.F40.H2.F40.H2.F40.H2.F40.H2.F40.H2.F40.H2.F40.H$
174.E43.E43.E43.E43.E43.E43.E2$134.F43.F43.F43.F43.F43.F43.F$176.E43.
E43.E43.E43.E43.E43.E$63.F$135.E2$74.F$179.E2$85.F137.Q$223.E2$96.F$
267.E2$107.F$311.E2$118.F$355.E2$129.F$3.Q395.E$2.Q.Q65.G10.G10.G10.G
10.G10.G$2.Q.Q61.F10.F10.F10.F10.F10.F$2.Q.Q$3.Q57.FB9.FB9.FB9.FB9.FB
9.FB9.FB2.Q2$J2.Q65.F10.F10.F10.F10.F10.F$64.I10.I10.I10.I10.I10.I10.
I$62.A10.A10.A10.A10.A10.A10.A$67.I10.I10.I10.I10.I10.I$62.I10.I10.I
10.I10.I10.I10.I2$63.F73.Q$137.E2$74.F106.Q$181.E2$85.F139.Q$225.E2$
96.F172.Q$269.E2$107.F205.Q$313.E2$118.F$357.E2$129.F$3.Q397.E$3.Q66.
G10.G10.G10.G10.G10.G$3.Q62.F10.F10.F10.F10.F10.F$3.Q$3.Q57.FB9.FB9.F
B9.FB9.FB9.FB9.FB2.Q2$J2.Q65.F10.F10.F10.F10.F10.F$64.I10.I10.I10.I
10.I10.I10.I$62.A10.A10.A10.A10.A10.A10.A$67.I10.I10.I10.I10.I10.I$
62.I10.I10.I10.I10.I10.I10.I2$63.F$139.E2$74.F108.Q$183.E2$85.F$227.E
2$96.F$271.E2$107.F$315.E2$118.F240.Q$359.E2$129.F$2.2Q399.E$4.Q65.G
10.G10.G10.G10.G10.G$3.Q62.F10.F10.F10.F10.F10.F$2.Q$2.3Q56.FB9.FB9.F
B9.FB9.FB9.FB9.FB2.Q2$J2.Q65.F10.F10.F10.F10.F10.F$64.I10.I10.I10.I
10.I10.I10.I$62.A10.A10.A10.A10.A10.A10.A$67.I10.I10.I10.I10.I10.I$
62.I10.I10.I10.I10.I10.I10.I2$63.F$141.E2$74.F110.Q$185.E2$85.F$229.E
2$96.F176.Q$273.E2$107.F$317.E2$118.F$361.E2$129.F$2.2Q401.E$4.Q65.G
10.G10.G10.G10.G10.G$3.Q62.F10.F10.F10.F10.F10.F$4.Q$2.2Q57.FB9.FB9.F
B9.FB9.FB9.FB9.FB2.Q2$J68.F10.F10.F10.F10.F10.F$64.I10.I10.I10.I10.I
10.I10.I$62.A10.A10.A10.A10.A10.A10.A$67.I10.I10.I10.I10.I10.I$62.I
10.I10.I10.I10.I10.I10.I2$63.F79.Q$143.E2$74.F$187.E2$85.F$231.E2$96.
F178.Q$275.E2$107.F211.Q$319.E2$118.F$363.E2$129.F$2.Q.Q402.E$2.Q.Q
65.G10.G10.G10.G10.G10.G$2.3Q61.F10.F10.F10.F10.F10.F$4.Q$4.Q56.FB9.F
B9.FB9.FB9.FB9.FB9.FB2.Q2$J2.Q65.F10.F10.F10.F10.F10.F$64.I10.I10.I
10.I10.I10.I10.I$62.A10.A10.A10.A10.A10.A10.A$67.I10.I10.I10.I10.I10.
I$62.I10.I10.I10.I10.I10.I10.I2$63.F$145.E2$74.F$189.E2$85.F$233.E2$
96.F180.Q$277.E2$107.F$321.E2$118.F$365.E2$129.F279.Q$2.3Q404.E$2.Q
67.G10.G10.G10.G10.G10.G$3.Q62.F10.F10.F10.F10.F10.F$4.Q$2.2Q57.FB9.F
B9.FB9.FB9.FB9.FB9.FB2.Q2$J2.Q65.F10.F10.F10.F10.F10.F$64.I10.I10.I
10.I10.I10.I10.I$62.A10.A10.A10.A10.A10.A10.A$67.I10.I10.I10.I10.I10.
I$62.I10.I10.I10.I10.I10.I10.I2$63.F$147.E2$74.F$191.E2$85.F$235.E2$
96.F$279.E2$107.F$323.E2$118.F$367.E2$129.F281.Q$3.2Q406.E$2.Q67.G10.
G10.G10.G10.G10.G$2.2Q62.F10.F10.F10.F10.F10.F$2.Q.Q$3.Q57.FB9.FB9.FB
9.FB9.FB9.FB9.FB2.Q2$J2.Q65.F10.F10.F10.F10.F10.F$64.I10.I10.I10.I10.
I10.I10.I$62.A10.A10.A10.A10.A10.A10.A$67.I10.I10.I10.I10.I10.I$62.I
10.I10.I10.I10.I10.I10.I2$63.F$149.E2$74.F118.Q$193.E2$85.F151.Q$237.
E2$96.F184.Q$281.E2$107.F217.Q$325.E2$118.F$369.E2$129.F$2.3Q408.E$4.
Q65.G10.G10.G10.G10.G10.G$3.Q62.F10.F10.F10.F10.F10.F$3.Q$3.Q57.FB9.F
B9.FB9.FB9.FB9.FB9.FB2.Q2$J2.Q65.F10.F10.F10.F10.F10.F$64.I10.I10.I
10.I10.I10.I10.I$62.A10.A10.A10.A10.A10.A10.A$67.I10.I10.I10.I10.I10.
I$62.I10.I10.I10.I10.I10.I10.I2$63.F$151.E2$74.F$195.E2$85.F$239.E2$
96.F$283.E2$107.F$327.E2$118.F$371.E2$129.F$3.Q411.E$2.Q.Q65.G10.G10.
G10.G10.G10.G$3.Q62.F10.F10.F10.F10.F10.F$2.Q.Q$3.Q57.FB9.FB9.FB9.FB
9.FB9.FB9.FB2.Q2$J2.Q65.F10.F10.F10.F10.F10.F$64.I10.I10.I10.I10.I10.
I10.I$62.A10.A10.A10.A10.A10.A10.A$67.I10.I10.I10.I10.I10.I$62.I10.I
10.I10.I10.I10.I10.I2$63.F$153.E2$74.F$197.E2$85.F$241.E2$96.F188.Q$
285.E2$107.F$329.E2$118.F$373.E2$129.F$3.Q413.E$2.Q.Q65.G10.G10.G10.G
10.G10.G$3.2Q61.F10.F10.F10.F10.F10.F$4.Q$2.2Q57.FB9.FB9.FB9.FB9.FB9.
FB9.FB2.Q2$J2.Q65.F10.F10.F10.F10.F10.F$64.I10.I10.I10.I10.I10.I10.I$
62.A10.A10.A10.A10.A10.A10.A$67.I10.I10.I10.I10.I10.I$62.I10.I10.I10.
I10.I10.I10.I!

2. Uses small RS latches which can be set using only one arrow, so "wiring" isn't too visible. Setting as previous. It can't be reseted, I'm working on it

Code: Select all

x = 442, y = 440, rule = ArrowV2
338.F$337.J39.QK$377.G45.H$157.F$338.E$339.K$201.F138.G34$339.Q38.Q$
338.F$337.J39.QK$377.G3.H$245.F$338.E$339.K$289.F50.G34$339.Q$338.F$
337.J40.Q2$333.F$338.E13$373.Q3.Q2$152.Q3FQ39.Q3.Q39.Q3.Q39.Q3.Q39.Q
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12.H30.F12.H30.F12.H30.F12.H30.F12.H30.F12.H30.F12.H$160.E43.E43.E43.
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24.H18.F24.H18.F24.H18.F24.H18.F24.H18.F24.H$166.E43.E43.E43.E43.E43.
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36.H6.F36.H6.F36.H6.F36.H6.F36.H$172.E43.E43.E43.E43.E43.E43.E2$136.F
40.H2.F40.H2.F40.H2.F40.H2.F40.H2.F40.H2.F40.H$174.E43.E43.E43.E43.E
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74.F$355.E2$63.F$3.Q395.E$2.Q.Q65.G10.G10.G10.G10.G10.G$2.Q.Q61.F10.F
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10.F10.F10.F10.F10.F$64.I10.I10.I10.I10.I10.I10.I$62.A10.A10.A10.A10.
A10.A10.A$67.I10.I10.I10.I10.I10.I$62.I10.I10.I10.I10.I10.I10.I$129.F
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74.F284.Q$359.E2$63.F$2.2Q399.E$4.Q65.G10.G10.G10.G10.G10.G$3.Q62.F
10.F10.F10.F10.F10.F$2.Q$2.3Q56.FB9.FB9.FB9.FB9.FB9.FB9.FB2.Q2$B2.Q
65.F10.F10.F10.F10.F10.F$64.I10.I10.I10.I10.I10.I10.I$62.A10.A10.A10.
A10.A10.A10.A$67.I10.I10.I10.I10.I10.I$62.I10.I10.I10.I10.I10.I10.I$
129.F$141.E2$118.F66.Q$185.E2$107.F$229.E2$96.F176.Q$273.E2$85.F$317.
E2$74.F$361.E2$63.F$2.2Q401.E$4.Q65.G10.G10.G10.G10.G10.G$3.Q62.F10.F
10.F10.F10.F10.F$4.Q$2.2Q57.FB9.FB9.FB9.FB9.FB9.FB9.FB2.Q2$B2.Q65.F
10.F10.F10.F10.F10.F$64.I10.I10.I10.I10.I10.I10.I$62.A10.A10.A10.A10.
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67.I10.I10.I10.I10.I10.I$62.I10.I10.I10.I10.I10.I10.I!

[edwardfanboy]

It can be made simply into extensible period 3 gun:

Code: Select all

x = 10, y = 6, rule = ArrowV2
3.A2.A.B$.TUTUTUTU$DRSRSRSRS$.TUTUTUTUB$.RSRSRSRS$.D2.C3.B!

That is REALLY weird.
By the way, the last 8 states are reflectors that are currently moving.

[edwardfanboy]

I didn't expect it to be this popular!

[edwardfanboy]

I am going to make another rule-table combining WireWorld and Arrows.
You cannot use normal WireWorld patterns because it will use the von Neumann neighborhood.
Stay tuned!
EDIT: On second thoughts, I will use the original WireWorld. The new CA will have 17 states, 3 for WireWorld, 1 for Blocker, 8 for Arrows and 4 for LCD. Please reply or PM me to add ideas.

EDIT 2: Way too hard. I will omit the WireWorld and just use the LCD idea.

[Wojowu]

Truly saying WireWorld was for me inspiration to build 7-segment display (in my previous post). Now I am trying to make binary counter, which is much harder than my display! I wanted to show that Arrow CA have at least as many computational power as WireWorld (which is limited by finite and nonincreasing bounding box). Arrows can theorethicaly store any integer by moving reflector further and further. WireWorld can only store maximum integer 2^(n-3) where n is number of cells in a pattern

Edit:
Now working on Conway's Life unit cell. Then Arrow can be proven computationally universal by simulating another system which is proven to be computationally universal

[edwardfanboy]

Edit:
Now working on Conway's Life unit cell. Then Arrow can be proven computationally universal by simulating another system which is proven to be computationally universal

[Wojowu]

lol

[PHPBB12345]

This is a new version of Arrows rule:

ArrowV3.zip

(2.6 KiB) Downloaded 343 times