Counting patterns
Counting patterns
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
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.
Help wanted: How can we accurately notate any 1D replicator?
- yujh
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Re: Counting patterns
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!
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!
Re: Counting patterns
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.yujh wrote: ↑May 5th, 2021, 1:59 amDo 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!
Last edited by muzik on May 5th, 2021, 2:14 am, edited 1 time in total.
Help wanted: How can we accurately notate any 1D replicator?
Re: Counting patterns
Compilation of various other counting patterns from other threads:
knightlife wrote: ↑February 23rd, 2010, 1:05 amHere 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 pmGenerations rules seem rich in these binary-counting mechanisms; here is a discovery of mine in Brian's Brain:
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.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!
calcyman wrote: ↑July 19th, 2010, 1:53 pmBinary 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 pmThis backrake contains a binary counter within it:A p6 spaceship is released every time the counter cycles through all states.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!
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:This is actually a backrake breeder firing new backrakes backwards, but they interfere with each other (in a good way).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!
calcyman wrote: ↑October 23rd, 2010, 8:17 amAnd 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 pmIn the mean time, I found this adjustable gun with a period that can be doubled by adding a single plus (!) to the gun: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.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!
Wojowu wrote: ↑October 16th, 2011, 12:41 pmBinary counter!!!Lowest glider is not counted, each number is readed diagonally (from SW to NE) and each bit is two gliders.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!
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$28.2A!
dani wrote: ↑December 29th, 2017, 3:01 pmI found this neat reverse binary counter:Code: Select all
x = 18, y = 28, rule = B2e3aceij5-ijr/S23-a4 3bo$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 amWeird 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 amAs 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$441.A!
GUYTU6J wrote: ↑July 11th, 2019, 9:47 pmMy binary counter:Code: Select all
x = 32, y = 34, rule = B2ae3e4e/S1e2e bo$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 pmBinary 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 amBinary 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 pmIs that last one a binary counter? Wow, never thought that existed in this rule.FWKnightship wrote: ↑May 11th, 2020, 7:19 amEDIT: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!
wwei23 wrote: ↑October 4th, 2020, 1:08 am3: Binary counterCode: Select all
x = 25, y = 9, rule = B3-ckr5y/S2-i3-aek4ci5c 2bo19bo$b3o17b3o$2ob2o15b2ob2o$b3o17b3o2$b3o17b3o$2ob2o15b2ob2o$b3o17b 3o$2bo19bo!
bubblegum wrote: ↑October 14th, 2020, 10:28 pmBinary counter (replicating wave):pCode: Select all
x = 6, y = 73, rule = B2n3aijkr/S2-i3-a4ciz6c 4o$o2b2o$2o2b2o$2b3o2$2b3o$2o2b2o$o2b2o$4o24$4o$o2b2o$2o2b2o$2b3o2$2b 3o$2o2b2o$o2b2o$4o24$4o$o2b2o$2o2b2o$2b3o2$2b3o$2o2b2o$o2b2o$4o!
yujh wrote: ↑November 29th, 2020, 4:09 amBinary counter?Code: Select all
x = 2, y = 2, rule = B2acn3q4qy5a6k7c/S02n3ak4kq5k678 2o$2o!
Help wanted: How can we accurately notate any 1D replicator?
- creeperman7002
- Posts: 301
- Joined: December 4th, 2018, 11:52 pm
Re: Counting patterns
Here is a base 4 counter formed by 2 backrakes:
Code: Select all
x = 76, y = 66, rule = B2n3-k/S2-i3-a4i
b3o3b3o$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
viewtopic.php?f=11&t=4856