Counting patterns

For discussion of other cellular automata.
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muzik
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Counting patterns

Post by muzik » May 5th, 2021, 1:56 am

A thread for patterns which "count" in some given base and do not grow logarithmically as a result.

For logarithmic growth counting patterns see this thread: https://www.conwaylife.com/forums/viewt ... 85#p129585
Last edited by muzik on May 5th, 2021, 2:40 am, edited 2 times in total.

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yujh
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Re: Counting patterns

Post by yujh » May 5th, 2021, 1:59 am

Do you mean like this one by fwk?

Code: Select all

x = 26, y = 47, rule = B34kz5e7c8/S23-a4ityz5k
18b2ob2o$16b2obobob2o$17b3ob3o$18bo3bo13$2b2o$bobo$bo$2o22$18bo3bo$17b
3ob3o$16bo2bobo2bo$16b2o5b2o$15b3o5b3o$15b3o5b3o!
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!

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muzik
Posts: 5614
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Counting patterns

Post by muzik » May 5th, 2021, 2:03 am

yujh wrote:
May 5th, 2021, 1:59 am
Do you mean like this one by fwk?

Code: Select all

x = 26, y = 47, rule = B34kz5e7c8/S23-a4ityz5k
18b2ob2o$16b2obobob2o$17b3ob3o$18bo3bo13$2b2o$bobo$bo$2o22$18bo3bo$17b
3ob3o$16bo2bobo2bo$16b2o5b2o$15b3o5b3o$15b3o5b3o!
That would very well be considered a counting pattern, although my original focus for this thread was for patterns that grow logarithmically as a result. May or may not make another thread to specifically focus on those.
Last edited by muzik on May 5th, 2021, 2:14 am, edited 1 time in total.

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muzik
Posts: 5614
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Re: Counting patterns

Post by muzik » May 5th, 2021, 2:10 am

Compilation of various other counting patterns from other threads:
knightlife wrote:
February 23rd, 2010, 1:05 am
Here is an interesting "natural" binary counter construction I have not seen before in any rule:

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!
calcyman wrote:
February 23rd, 2010, 12:08 pm
Generations rules seem rich in these binary-counting 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!
I found it completely by accident, and is related to the ruler sequence. It is qualitatively similar to your pattern, but has a completely different internal mechanism, and a different (more mundane) growth rate.
calcyman wrote:
July 19th, 2010, 1:53 pm
Binary counter:

Code: Select all

x = 138, y = 18, rule = B017/S01
136b2o$121b2o13b2o$106b2o13b2o$91b2o13b2o$11b2o63b2o13b2o$11b2o48b2o
13b2o$46b2o13b2o$6b3o22b2o13b2o$6b3o22b2o102b2o$11bobobo104b2o13b2o$
13bobobo87b2o13b2o$2o5bo11bo70b2o13b2o$2o5bo11bo55b2o13b2o$9bo7bo42b2o
13b2o$45b2o13b2o$30b2o13b2o$10b4o16b2o$10b4o!
knightlife wrote:
July 31st, 2010, 2:11 pm
This backrake contains a binary counter within it:

Code: Select all

x = 112, y = 17, rule = B017/S01
75bobo21bobo5bobo$77bo23bo7bo$75bo23bo7bo2$109bo$99bo3bo3bo3bo$99bo7bo
3bo3$99bo7bo3bo$99bo3bo3bo3bo$109bo2$2bo96bo7bo$4bo82bobo11bo7bo$o3bo
84bo9bobo5bobo$87bo!
A p6 spaceship is released every time the counter cycles through all states.

The period of the backrake is doubled if the trailing spaceship is moved further back by 24 cells.
This adds one more bit to the binary counter:

Code: Select all

x = 136, y = 137, rule = B017/S01
99bobo21bobo5bobo$101bo23bo7bo$99bo23bo7bo2$133bo$123bo3bo3bo3bo$123bo
7bo3bo3$123bo7bo3bo$123bo3bo3bo3bo$133bo2$98bo24bo7bo$100bo10bobo11bo
7bo$96bo3bo12bo9bobo5bobo$111bo14$99bobo21bobo5bobo$101bo23bo7bo$99bo
23bo7bo2$133bo$123bo3bo3bo3bo$123bo7bo3bo3$123bo7bo3bo$123bo3bo3bo3bo$
133bo2$74bo48bo7bo$76bo34bobo11bo7bo$72bo3bo36bo9bobo5bobo$111bo14$99b
obo21bobo5bobo$101bo23bo7bo$99bo23bo7bo2$133bo$123bo3bo3bo3bo$123bo7bo
3bo3$123bo7bo3bo$123bo3bo3bo3bo$133bo2$50bo72bo7bo$52bo58bobo11bo7bo$
48bo3bo60bo9bobo5bobo$111bo14$99bobo21bobo5bobo$101bo23bo7bo$99bo23bo
7bo2$133bo$123bo3bo3bo3bo$123bo7bo3bo3$123bo7bo3bo$123bo3bo3bo3bo$133b
o2$26bo96bo7bo$28bo82bobo11bo7bo$24bo3bo84bo9bobo5bobo$111bo14$99bobo
21bobo5bobo$101bo23bo7bo$99bo23bo7bo2$133bo$123bo3bo3bo3bo$123bo7bo3bo
3$123bo7bo3bo$123bo3bo3bo3bo$133bo2$2bo120bo7bo$4bo106bobo11bo7bo$o3bo
108bo9bobo5bobo$111bo!
This is actually a backrake breeder firing new backrakes backwards, but they interfere with each other (in a good way).
calcyman wrote:
October 23rd, 2010, 8:17 am
And here's a binary counter built entirely from crosses:

Code: Select all

x = 1158, y = 298, rule = 345/2/4
129.A84.A170.A84.A170.A84.A170.A84.A$128.3A82.3A168.3A82.3A168.3A82.
3A168.3A82.3A$129.A84.A170.A84.A170.A84.A170.A84.A2$133.A76.A178.A76.
A178.A76.A178.A76.A$132.3A74.3A176.3A74.3A176.3A74.3A176.3A74.3A$133.
A76.A178.A76.A178.A76.A178.A76.A58$119.A255.A255.A255.A$63.A54.3A126.
A71.A54.3A126.A71.A54.3A126.A71.A54.3A126.A$62.3A54.A126.3A69.3A54.A
126.3A69.3A54.A126.3A69.3A54.A126.3A$63.A183.A71.A183.A71.A183.A71.A
183.A2$67.A163.A11.A79.A163.A11.A79.A163.A11.A79.A163.A11.A$66.3A161.
3A9.3A77.3A161.3A9.3A77.3A161.3A9.3A77.3A161.3A9.3A$67.A163.A11.A29.A
49.A163.A11.A29.A49.A163.A11.A29.A49.A163.A11.A29.A$272.3A253.3A253.
3A253.3A$45.A10.A216.A27.A10.A216.A27.A10.A216.A27.A10.A216.A$44.3A8.
3A242.3A8.3A242.3A8.3A242.3A8.3A$45.A10.A62.A102.A46.A31.A10.A62.A
102.A46.A31.A10.A62.A102.A46.A31.A10.A62.A102.A46.A$118.3A100.3A44.3A
103.3A100.3A44.3A103.3A100.3A44.3A103.3A100.3A44.3A$119.A102.A46.A
105.A102.A46.A105.A102.A46.A105.A102.A46.A2$115.A255.A255.A255.A$104.
A9.3A243.A9.3A243.A9.3A243.A9.3A$103.3A9.A243.3A9.A243.3A9.A243.3A9.A
$104.A255.A255.A255.A2$100.A255.A255.A255.A$89.A9.3A243.A9.3A243.A9.
3A243.A9.3A$67.A20.3A9.A222.A20.3A9.A222.A20.3A9.A222.A20.3A9.A$66.3A
20.A25.A206.3A20.A25.A206.3A20.A25.A206.3A20.A25.A$67.A46.3A206.A46.
3A206.A46.3A206.A46.3A$85.A29.A225.A29.A225.A29.A225.A29.A$84.3A253.
3A253.3A253.3A$85.A255.A255.A255.A10$65.A13.A241.A13.A241.A13.A241.A
13.A$64.3A11.3A239.3A11.3A239.3A11.3A239.3A11.3A$65.A13.A241.A13.A
241.A13.A241.A13.A2$61.A21.A233.A21.A233.A21.A233.A21.A$60.3A19.3A15.
A215.3A19.3A15.A215.3A19.3A15.A215.3A19.3A15.A$61.A21.A15.3A215.A21.A
15.3A215.A21.A15.3A215.A21.A15.3A$100.A255.A255.A255.A2$104.A255.A
255.A255.A$103.3A253.3A253.3A253.3A$104.A255.A255.A255.A4$.A1154.A$3A
1152.3A$.A1154.A2$5.A1146.A$4.3A19.CBA57.A181.A73.A181.A73.A181.A73.A
181.A114.3A$5.A20.CBA56.3A179.3A71.3A179.3A71.3A179.3A71.3A179.3A114.
A$86.A181.A73.A181.A73.A181.A73.A181.A2$90.A173.A81.A173.A81.A173.A
81.A173.A$89.3A171.3A79.3A171.3A79.3A171.3A79.3A171.3A$90.A173.A81.A
173.A81.A173.A81.A173.A7$114.A255.A255.A255.A$113.3A253.3A253.3A253.
3A$114.A255.A255.A255.A2$118.A255.A255.A255.A$117.3A29.A87.A135.3A29.
A87.A135.3A29.A87.A135.3A29.A87.A$118.A29.3A85.3A135.A29.3A85.3A135.A
29.3A85.3A135.A29.3A85.3A$134.A14.A87.A152.A14.A87.A152.A14.A87.A152.
A14.A87.A$133.3A253.3A253.3A253.3A$134.A18.A79.A156.A18.A79.A156.A18.
A79.A156.A18.A79.A$152.3A77.3A173.3A77.3A173.3A77.3A173.3A77.3A$138.A
14.A79.A160.A14.A79.A160.A14.A79.A160.A14.A79.A$137.3A253.3A253.3A
253.3A$138.A255.A255.A255.A11$138.A30.A29.A194.A30.A29.A194.A30.A29.A
194.A30.A29.A$137.3A28.3A27.3A32.A159.3A28.3A27.3A32.A159.3A28.3A27.
3A32.A159.3A28.3A27.3A32.A$138.A15.A14.A29.A32.3A159.A15.A14.A29.A32.
3A159.A15.A14.A29.A32.3A159.A15.A14.A29.A32.3A$153.3A77.A175.3A77.A
175.3A77.A175.3A77.A$134.A19.A18.A21.A194.A19.A18.A21.A194.A19.A18.A
21.A194.A19.A18.A21.A$133.3A36.3A19.3A40.A151.3A36.3A19.3A40.A151.3A
36.3A19.3A40.A151.3A36.3A19.3A40.A$134.A23.A14.A21.A40.3A151.A23.A14.
A21.A40.3A151.A23.A14.A21.A40.3A151.A23.A14.A21.A40.3A$157.3A77.A175.
3A77.A175.3A77.A175.3A77.A$158.A255.A255.A255.A7$194.A255.A255.A255.A
$193.3A253.3A253.3A253.3A$194.A255.A255.A255.A2$158.A31.A223.A31.A
223.A31.A223.A31.A$157.3A29.3A221.3A29.3A221.3A29.3A221.3A29.3A$158.A
15.A15.A223.A15.A15.A223.A15.A15.A223.A15.A15.A$173.3A253.3A253.3A
253.3A$154.A19.A235.A19.A235.A19.A235.A19.A$153.3A253.3A253.3A253.3A$
154.A23.A231.A23.A231.A23.A231.A23.A$177.3A253.3A253.3A253.3A$178.A
255.A255.A255.A11$178.A31.A223.A31.A223.A31.A223.A31.A$177.3A29.3A
221.3A29.3A221.3A29.3A221.3A29.3A$178.A31.A223.A31.A223.A31.A223.A31.
A2$174.A39.A215.A39.A215.A39.A215.A39.A$173.3A37.3A213.3A37.3A213.3A
37.3A213.3A37.3A$174.A39.A215.A39.A215.A39.A215.A39.A3$243.A255.A255.
A255.A$242.3A253.3A253.3A253.3A$118.A124.A130.A124.A130.A124.A130.A
124.A$117.3A253.3A253.3A253.3A$118.A128.A126.A128.A126.A128.A126.A
128.A$246.3A253.3A253.3A253.3A$114.A132.A122.A132.A122.A132.A122.A
132.A$113.3A253.3A253.3A253.3A$114.A255.A255.A255.A58$111.A8.A9.A236.
A8.A9.A236.A8.A9.A236.A8.A9.A$110.3A6.3A7.3A234.3A6.3A7.3A234.3A6.3A
7.3A234.3A6.3A7.3A$111.A8.A9.A236.A8.A9.A236.A8.A9.A236.A8.A9.A2$107.
A26.A228.A26.A228.A26.A228.A26.A$5.A100.3A24.3A226.3A24.3A226.3A24.3A
226.3A24.3A248.A$4.3A100.A26.A228.A26.A228.A26.A228.A26.A248.3A$5.A
1146.A2$.A1154.A$3A1152.3A$.A1154.A9$104.A30.A224.A30.A224.A30.A224.A
30.A$103.3A28.3A222.3A28.3A222.3A28.3A222.3A28.3A$104.A30.A224.A30.A
224.A30.A224.A30.A2$100.A38.A216.A38.A216.A38.A216.A38.A$99.3A36.3A
214.3A36.3A214.3A36.3A214.3A36.3A$100.A38.A216.A38.A216.A38.A216.A38.
A!
knightlife wrote:
April 17th, 2011, 2:50 pm
In the mean time, I found this adjustable gun with a period that can be doubled by adding a single plus (!) to the gun:

Code: Select all

x = 297, y = 150, rule = 345/2/4
200.A$199.3A$200.A27$200.A$199.3A$200.A$206.A$205.3A$206.A23$140.A
148.A$139.3A60.A85.3A$140.A60.3A85.A$202.A3$289.A$288.3A$289.A$295.A$
294.3A$295.A4$281.A$280.3A8.A$281.A8.3A$291.A6$272.A$271.3A8.A$272.A
8.3A$282.A6$263.A$262.3A8.A$263.A8.3A$273.A6$254.A$253.3A8.A$87.A166.
A8.3A$86.3A175.A$87.A53.A$140.3A$141.A3$245.A$244.3A8.A$245.A8.3A$23.
A231.A$22.3A$23.A4$23.A212.A$22.3A210.3A8.A$23.A212.A8.3A$29.A216.A$
28.3A$29.A4$15.A211.A$14.3A8.A200.3A8.A$15.A8.3A200.A8.3A$25.A211.A5$
4.A211.A$3.3A209.3A$4.A11.A199.A11.A$15.3A209.3A$16.A211.A4$.A82.A
128.A$B.A2.A77.B.A2.A123.B.A2.A$C7A75.C7A121.C7A$2.A2.A.B77.A2.A.B
123.A2.A.B$.AC2.A.C76.AC2.A.C122.AC2.A.C$2.BC3A78.BC3A124.BC3A$3.A.A.
A78.A.A.A124.A.A.A$5.CB81.CB127.CB!
The gun on the left is p288 and the gun on the right is p1179648. The gun in the middle is the p288 gun expanded to show how the plus acts as a reflector and/or converter. The first plus triples the period, the second plus reflects and converts a spaceship into a form that reflects 90 degrees perfectly when colliding with a plus. The plus becomes a p12 oscillator when hit, which then gets stopped by the next spaceship that hits it (a memory cell or flip-flop). The small gun at the source is also p12 which makes it all work well. At the output the spaceship is converted to a glider with two plusses and then capped. The period is 36 x 2^n where n > 0, basically implementing a binary ripple counter.
Wojowu wrote:
October 16th, 2011, 12:41 pm
Binary counter!!!

Code: Select all

x = 25, y = 14, rule = 345/2/4
2.C4.C$7.B9.C4.C$7.AC8.B$8.B7.CA$7.CA7.B$2.A4.B8.AC$.BAB2.CA9.B4.A$.
3CA.B10.AC2.BAB$C3.BCA11.B.A3C$B3A.B12.ACB3.C$A.2B2A13.B.3AB$.3A15.2A
2B.A$2.2A17.3A$21.2A!
Lowest glider is not counted, each number is readed diagonally (from SW to NE) and each bit is two gliders.

Here is version without this not counted gliders:

Code: Select all

x = 32, y = 76, rule = 345/2/4
2B$2A61$9.C4.C$14.B9.C4.C$14.AC8.B$15.B7.CA$14.CA7.B$9.A4.B8.AC$8.BAB
2.CA9.B4.A$8.3CA.B10.AC2.BAB$7.C3.BCA11.B.A3C$7.B3A.B12.ACB3.C$7.A.2B
2A13.B.3AB$8.3A15.2A2B.A$9.2A17.3A$28.2A!
dani wrote:
December 29th, 2017, 3:01 pm
I found this neat reverse binary counter:

Code: Select all

x = 18, y = 28, rule = B2e3aceij5-ijr/S23-a4
3bo$b3o$bobo$o2bo$bobo$b3o2b2o$3bo2b2o$14bo$3b3o8b3o$3bobo8bobo$2bo2bo
8bo2bo$3bobo8bobo$3b3o4b2o2b3o$10b2o2bo$3bo2b2o$b3o2b2o4b3o$bobo8bobo$
o2bo8bo2bo$bobo8bobo$b3o8b3o$3bo$10b2o2bo$10b2o2b3o$14bobo$14bo2bo$14b
obo$14b3o$14bo!
_zM wrote:
December 31st, 2017, 11:59 am
Weird binary counter:

Code: Select all

x = 49, y = 6, rule = 0/2/5
42.DCA$4.ACD32.ABDADCADBA$ABDACDADBA29.BDB2ADA.DB$BD.AD2ABDB29.ABDADC
ADBA$ABDACDADBA32.DCA$4.ACD!
Freywa wrote:
December 1st, 2018, 10:40 am
As it turns out, a true binary counter wasn't that hard:

Code: Select all

x = 492, y = 115, rule = 345/2/4
490.A$489.3A$490.A$489.ABC$486.A$107.ABC125.ABC125.ABC119.3A$107.ABC
125.ABC125.ABC120.A$2.A$.3A$2A.A.A$.6A$2.A2.A5$481.A2.A$480.6A$7.A
473.A.A.2A$6.3A474.3A$7.A476.A$5.3A$4.2A.2A$5.3A$6.A6$490.A$489.3A$
490.A$489.ABC$486.A$363.ABC119.3A$363.ABC120.A$258.A$257.3A$256.2A.A.
A$257.6A$258.A2.A5$481.A2.A$480.6A$263.A217.A.A.2A$262.3A218.3A$263.A
220.A$261.3A$260.2A.2A$261.3A$262.A6$490.A$489.3A$490.A$489.ABC$486.A
$485.3A$486.A$386.A$385.3A$384.2A.A.A$385.6A$386.A2.A5$481.A2.A$480.
6A$391.A89.A.A.2A$390.3A90.3A$391.A92.A$389.3A$388.2A.2A$389.3A$390.A
6$477.A$476.3A$477.A$476.ABC$473.A$472.3A$473.A$437.A$436.3A$435.2A.A
.A$436.6A$437.A2.A5$468.A2.A$467.6A$442.A25.A.A.2A$441.3A26.3A$442.A
28.A$440.3A$439.2A.2A$440.3A$441.A!
GUYTU6J wrote:
July 11th, 2019, 9:47 pm
My binary counter:

Code: Select all

x = 32, y = 34, rule = B2ae3e4e/S1e2e
bo$o8bo5bo5bo5bo$o3bo5bo3bobo5bo3bobo$4bo5bo4bo11bo$26bobobo$8bobo20bo
$6bobo2bo$2bo3bo3b2o$2bo$3bo15$3bo$2bo$2bo3bo3b2o$6bobo2bo$8bobo20bo$
26bobobo$4bo5bo4bo11bo$o3bo5bo3bobo5bo3bobo$o8bo5bo5bo5bo$bo!
GUYTU6J wrote:
October 5th, 2019, 12:59 pm
Binary counter?

Code: Select all

x = 3, y = 5, rule = B2kn3-ekq4ci6n/S2-n3ijkqr4ikr
2bo$2o$o$obo$b2o!
toroidalet wrote:
October 9th, 2019, 1:00 am
Binary counter (sort of) based on it:

Code: Select all

x = 71, y = 66, rule = B3-ckq4z/S2-c3-a4iq5k6k
14b3ob3o11b3ob3o11b3ob3o$14bobobobo11bobobobo11bobobobo63$3ob3o57b3ob
3o$obobobo57bobobobo!
Hdjensofjfnen wrote:
May 11th, 2020, 6:41 pm
FWKnightship wrote:
May 11th, 2020, 7:19 am
EDIT:

Code: Select all

x = 244, y = 17, rule = B2/S2|B3a/S23
3A11.3A12.3A15.3A17.3A19.3A21.3A23.3A25.3A26.3A28.3A$3.A13.A14.A17.A
19.A21.A23.A25.A27.A28.A30.A$4.A13.A14.A17.A19.A21.A23.A25.A27.A28.A
30.A$5.A13.A14.A17.A19.A21.A23.A25.A27.A28.A30.A$6.A13.A14.A17.A19.A
21.A23.A25.A27.A28.A30.A$6.A14.A14.A17.A19.A21.A23.A25.A27.A28.A30.A$
6.A14.A15.A17.A19.A21.A23.A25.A27.A28.A30.A$21.A15.A18.A19.A21.A23.A
25.A27.A28.A30.A$37.A18.A20.A21.A23.A25.A27.A28.A30.A$56.A20.A22.A23.
A25.A27.A28.A30.A$77.A22.A24.A25.A27.A28.A30.A$100.A24.A26.A27.A28.A
30.A$125.A26.A28.A28.A30.A$152.A28.A29.A30.A$181.A29.A31.A$211.A31.A$
243.A!
Is that last one a binary counter? Wow, never thought that existed in this rule.
wwei23 wrote:
October 4th, 2020, 1:08 am
3: Binary counter

Code: Select all

x = 25, y = 9, rule = B3-ckr5y/S2-i3-aek4ci5c
2bo19bo$b3o17b3o$2ob2o15b2ob2o$b3o17b3o2$b3o17b3o$2ob2o15b2ob2o$b3o17b
3o$2bo19bo!
bubblegum wrote:
October 14th, 2020, 10:28 pm
Binary counter (replicating wave):

Code: Select all

x = 6, y = 73, rule = B2n3aijkr/S2-i3-a4ciz6c
4o$o2b2o$2o2b2o$2b3o2$2b3o$2o2b2o$o2b2o$4o24$4o$o2b2o$2o2b2o$2b3o2$2b
3o$2o2b2o$o2b2o$4o24$4o$o2b2o$2o2b2o$2b3o2$2b3o$2o2b2o$o2b2o$4o!
p
yujh wrote:
November 29th, 2020, 4:09 am
Binary counter?

Code: Select all

x = 2, y = 2, rule = B2acn3q4qy5a6k7c/S02n3ak4kq5k678
2o$2o!

User avatar
creeperman7002
Posts: 299
Joined: December 4th, 2018, 11:52 pm

Re: Counting patterns

Post by creeperman7002 » May 6th, 2021, 6:50 pm

Here is a base 4 counter formed by 2 backrakes:

Code: Select all

x = 76, y = 66, rule = B2n3-k/S2-i3-a4i
b3o3b3o$o2bo3bo2bo$2obo3bob2o53$73b2o$73bobo$75bo$73b3o4$73b3o$75bo$
73bobo$73b2o!
B2n3-jn/S1c23-y is an interesting rule. It has a replicator, a fake glider, an OMOS and SMOS, a wide variety of oscillators, and some signals. Also this rule is omniperiodic.
viewtopic.php?f=11&t=4856

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