## Oscillator Discussion Thread

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
dbell
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### Re: Oscillator Discussion Thread

Here is a period 644 oscillator which demonstrates an interesting old reaction.

Code: Select all

x = 51, y = 92
26boo3boo$24b3obobboo$23bo4bo$23bobboob4o$22boobobobobbo$23bobobobo$
23boboboo$24bo$$37boo28boo7bo28boo5bobo9bo25boo9b3o12bo11boo3oo boooobo21boo3bo22bo3b3o4boo11b3oboo3bo3boo11bo22boobb4o21boo14b5o oobo15boo8bo13bo5bobobb3o12bobo7bobo12b3obbobo5bo13bo8boo15boboobb 5o14boo21b4obbo4bo34boo3bo3boo39boo4b3o47bo47boboo46booboo338boo 38bo39b3o41bo431boo5boo31boo5boo$$31bo$31boo$30bobo$38boo$38boo4$
41bo$39b3o$38bo$38boo3$46booboo$47boboo$47bo$39boo4b3o$4bo34boo3bo3boo
$bb5o14boo21b4obbo$bo5bo13bo8boo15boboo$bobb3o12bobo7bobo12b3obbo$oobo
15boo8bo13bo5bo$obb4o21boo14b5o$boo3bo3boo11bo22bo$3b3o4boo11b3o$3bo
22bo$oobo21boo$ooboo3$11boo$12bo$9b3o$9bo25boo$28boo5bobo$28boo7bo$37b oo$$24bo23boboboo23bobobobo22boobobobobbo23bobboob4o23bo4bo24b3o bobboo26boo3boo! The reaction is an input glider hitting three blocks arranged in the corners of a rectangle, resulting in an output glider and the same arrangement of three blocks (but flipped). The oscillator performs the reaction twice during each period. Moving pairs of the snarks further away can increase the period by any multiple of 8. The period can be reduced to 628 if the eaters of some pairs of snarks are welded together. Oscillators using the reaction were possible before, but using snarks makes it simpler and smaller. (It is fortunate that the input and output gliders of the reaction have the same color, otherwise larger glider reflectors would have been needed.) Can someone please tell me who found the reaction and when? Thanks. BCNU, -dbell M. I. Wright Posts: 372 Joined: June 13th, 2015, 12:04 pm ### Re: Oscillator Discussion Thread dbell wrote:Oscillators using the reaction were possible before, but using snarks makes it simpler and smaller. (It is fortunate that the input and output gliders of the reaction have the same color, otherwise larger glider reflectors would have been needed.) One such (comparatively quite bulky) oscillator can be found in Jason Summers' pattern collection, and the RLE notes credit the original reaction to Paul Callahan — Code: Select all #CNoam Elkies, 5 Feb 2000 #C(Based on a reaction by Paul Callahan, 12 Jul 94) x = 120, y = 134, rule = B3/S23 29b3o32bo55boo28bo3bo55boobo18bo8bobobbo59bo8bo18b3o4bobbobo58bo9b 3o21bo3bo3bo60boboo4bo20boo3bo66boo4boo26b3o23bo72bo22bobo70bobo 18boobboo72boobboo18boo80boo$$bbo114bo$b3o$3obo110b3obo$bo3bo108boboo
$bbo3bo107boobo$3bob3o104bob3o$4b3o$5bo108bo$9bo100bo$8bobo98bobo$9boo 98boo$5boo106boo$4bobo106bobo$4bo5boo96boo5bo$3boo5boo96boo5boo36$36b
oo5boo30boo5boo$36boo5boo30boo5boo$$44bo43boo43bobo36boo44boo36boo 44boo3536bo3boo5boo24boo70boo5boo4bo5boo23bobo70boo5bo4bobo106bobo 5boo106boo9boo98boo8bobo98bobo9bo100bo5bo108bo4b3o3bob3o104bob 3obbo3bo107boobobo3bo108boboo3obo110b3obob3obbo114bo$$18boo80boo$
18boobboo72boobboo$22bobo70bobo$23bo72bo$26b3o$20boo3bo66boo4boo$21bo 3bo3bo60boboo4bo$18b3o4bobbobo58bo9b3o$18bo8bobobbo59bo8bo$28bo3bo55b
oobo$32bo55boo$29b3o!
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dbell
Posts: 49
Joined: June 27th, 2013, 12:47 am
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### Re: Oscillator Discussion Thread

Here is another period 46 glider gun based on Tanner's p46 oscillator.
This one is an edge shooter.

Code: Select all

x = 33, y = 37
20boo$20bo$14booboobo$13bobobobo$13bo4bo13bo$12boo16b3o$8boo19bo$9bo 19boo$9bobo$10boo5bobo$17bobo8boo$17b3o8boo$4boo$5bo$5bobo$6boobboo7bo 9boo$10boo6bobo7bobo$30bo4$18bobo$19bo$o17bo$3o4bobo8bo$3bo3b3o$bbobo 3bo8boo$bboo13boo$$bboobbo3b3o5bo8boo9bo6b3o6bo! BCNU, -dbell dbell Posts: 49 Joined: June 27th, 2013, 12:47 am Contact: ### Re: Oscillator Discussion Thread Here is a period 92 glider gun using my period 46 glider gun and a period 4 oscillator. Code: Select all x = 33, y = 48 20boo20bo14booboobo13bobobobo13bo4bo13bo12boo16b3o8boo19bo9bo 19boo9bobo10boo4bo3bo15boo3boo6boo14boo5boo5boo4boo9boo3boo5bo 10b5o5bobo9b3o6boobboo6bo10boo7o3o12boo3bo3bo5b3o3boo3boobbobo 6bo3bobobobobboo5b3o4b5o17b3obboobbo16boo3b3o11bo4bo5bo8boo6bob obbobo9bo4b4oboob4o6b3o4bo4bobbo4bo6bo5boboobo4boboobo12bobobo6bob obo11boobobo6boboboo14bo10bo14bobob4obobo11boobobo6boboboo12bobob ob4obobobo12bobob3obb3obobo13bo3boboobo3bo16bobobbobo14bobobobbobo bo14boo3boo3boo! The domino spark produced by the p4 oscillator inhibits every other output glider. Other period sparkers might work similarly to create occasional holes in the stream. My collection is very old so there might be a smaller p4 sparker that works here. This is the first p30 or p46 gun I know of where a p4 oscillator can successfully thin its stream. BCNU, -dbell dbell Posts: 49 Joined: June 27th, 2013, 12:47 am Contact: ### Re: Oscillator Discussion Thread The spark on Tanner's period 46 oscillator is very similar to the one on the period 15 pentadecathlon, so it can perturb things in similar ways. For example, it can reflect a glider by 180 degrees in the same way. So you can create a glider relay between these two oscillators (but the separation is pretty large). Code: Select all x = 209, y = 182 201b8o201bob4obo201b8o1554boo5bo28boo5bobo25bobo6boobboo23bo10b oo7o3o7boo3bo6boobbobo7bobboo6boo10boobboobbo3b3o5bo8boo9b o6b3o6bo! BCNU, -dbell dbell Posts: 49 Joined: June 27th, 2013, 12:47 am Contact: ### Re: Oscillator Discussion Thread The new period 46 edge-shooter glider gun can work as an in-line inverter. Code: Select all x = 35, y = 49 20boo20bo14booboobo13bobobobo13bo4bo13bo12boo16b3o8boo19bo9bo 19boo9bobo9b3o10boo5bobo3bo15bo5booboobboo25bobboo3boo4boo11b3o3b obo6bobo5bo8bo7b3o9bo5bobo6boobboo6bo10boo5b3o7o10bo9b3o3o7b3o 10bo3bo6boboo8bobbobo8boobboo6boboo10b3obboo7bobbo3b3o5bo8boo 9bo6b3o6bo10bboo3boobbo! Here it is used with a period 138 2-on 1-off glider stream in order to create a regular period 138 glider gun. (A large period 6 oscillator deletes every third internal glider.) Code: Select all x = 61, y = 54 20boo20bo14booboobo13bobobobo25b3o7boo13bo4bo13bo14bo7bo12boo16b 3o13bo6bobo8boo19bo19boobboo9bo11bobo5boo18boo9bobo9bobo10boo8bobb obb3o20b3obbo3bo18bobbo7bo4boo12bobo4boobo5bo11boboob4o5bobo15bo 24b3o9bo6boobboo11bo23bobbo7b3o10boo5bobo26bo3bo6bo18bo27bo9bobo 18bo27bo3bo6boo47bobbo48b3o6boo58bo10b3o9boo31b3oo8bo3bo9boo30bo 3o6boo3bo7bo11bo9boo5boo3bo11bo17b3o8boo5bobbobo7bobbo10boo5bobo16b 3obboo11bo9bobo26bo9boo3bo10bo19boobboo5bo3bo10boo19bobbo7b3o15boo 16b3o3b3o23bo4bo13bo5bo19boobbobobobo8boo6boo4boobbo3booboobo9bo4b 3ob4oboo11bo6b3o4bo11b4o7boo6bo7b8oboo3bo24bobo16b8obboo16bo6bobo bbo19bo3boboboo18bobo3boo18bobo5b3o16boobbob4obbo17bobobbobbo16b obboo16bobobbo15boob4o22bo20b4o16boobo3bo16boobo3boo19bob3o19b oo! However, this is getting pretty large. Perhaps there is a period tripling reaction for two crossing p46 glider streams. BCNU, -dbell dvgrn Moderator Posts: 5886 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI Contact: ### Re: Oscillator Discussion Thread dbell wrote:However, this is getting pretty large. Perhaps there is a period tripling reaction for two crossing p46 glider streams. For period tripling these days it's going to be hard to beat a tremi-Snark, but even that's not quite enough to improve on the existing p138 gun using Gabriel's p138: Code: Select all x = 70, y = 88, rule = LifeHistory 47.2A47.A41.2A.2A.A40.A.A.A.A40.A3.BA3.3B7.A39.2A2.4B.5B4.3A35. 2A6.10B3.A36.A7.4BABA2B3.2A36.A.AB2.6BABA7B37.2AB.6BA2BA2B3A39.8B 3A2BA3BA39.6BA2BA7BA39.6BABA4B2A.A40.4BAB2AB4AB9.A42.8BAB9.3A43. 7BA9.A44.ABA3B10.BA43.2BA3B8.A3BA2.A36.A7.BA3B7.BA2B4.3A36.3A5.5B 7.A3BA6.A39.A5.3B7.6BA4.2A38.2A5.4B3.B.2A3B2AB.2B38.5B2.7BA5BA7B2A 29.2A9.3B2.7BA4BA7BA.A28.A.A8.13BA5BA6B.A28.A8.B.4BA10B2A3B2A3B3. 3A25.2A.2A.B3.8BABA4.11BA3B4.A26.A.A.A2B.A8B2AB7.3BA3BA5B26.A.A.2A 3BA10B8.3BA2BA5B25.2A.A2.5B2A8B9.2B3A6B25.A2.4A2BAB2A6B.B2A8.9B26. 2A2.A2B.B2A7B.BA.A7.6B28.2A6.7B5.A9.4B28.A7.2B.4B5.2A7.B2A2B30.A9. 4B14.2A.B2A29.2A10.3BA16.BA.A42.3BA18.A43.3A18.2A1812.9B22.3AB 10.13B19.3BA10.7B3A3B18.3BA9.8BABA4B6.2A8.4B3.A10.13B8.A7.4B3.A.A 11.11B9.A.A8B4.A.A12.3BA2BA2B11.2A7B4.2A.2A11.4BAB2A2BA11.7B6.A10. 5BABA2BABA11.8B2.2B4A3.B6.6BA3BABA6.B3.3B3A4B.2BA.A.4B3.2A11BA3B3. 4B.3BABA8B3.A.5B.A2BA.9B.4B.5B.3BA2BAB2A2B4.2A8B2A28B2AB2A3B2B2A 29B.12B2BA3B2A25B.6B.6B2B2A3B2A15B3A6B2.5B.5B9BA6B.6BA9B.6B.6B6B 3A15B2A3B2A2B.2B2A2B.2B2A2B25B2A3BA2B.2B2ABA.AB2A2B29B2A2B.2BA2BA.A 2BA2B23B2A8B.2B3AB.B3A2B.5B.4B.9B.A2BA.5B2.6B.6B.4B3.3BA11B2A3.4B 2.6B.6B3.B6.ABA3BA6B6.B4.6B.6B10.ABA2BABA5B11.6B.6B11.A2B2ABA4B13. 5B.5B12.2BA2BA3B13.6B.6B11.11B13.5B.5B10.13B12.5B.5B9.4BABA8B9.7B .7B10.3B3A7B9.2A.3B5.3B.2A10.13B9.2A.B2AB3.B2AB.2A12.9B15.2A5.2A! A for awesome Posts: 1901 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: Oscillator Discussion Thread Can anyone restore/replace the blocks in this incomplete p80 oscillator/junk factory that might be convertible into a gun? Code: Select all x = 27, y = 37, rule = B3/S23 22bob2o17bo3bo16b2o7bo17bo2b2ob2o13b2ob2o2bo12bo7b2o16bo3bo12b 2obo220b2o20bo3b2o22bo2bo21b3o18b2o18bob2o22bo22bob2o20b2ob 2o8b3o11bo11bobo11bo11bobo8b2ob2o22bobob2o21bo2bo21b2o2bobo2ob 2obobo22b2o2b2o20b2o4bo4bo5b2obo7b2o3b3obo2bob2o3bo5b2o!  x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)$$x_1=\eta xV^*_\eta=c^2\sqrt{\Lambda\eta}K=\frac{\Lambda u^2}2P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}

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Aidan F. Pierce

Naszvadi
Posts: 379
Joined: May 7th, 2016, 8:53 am
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### Re: Oscillator Discussion Thread

Sorry for killing the party:

Code: Select all

#C [[ STOP 181 ]]
#C one-G destroy of Tanner's p46
x = 25, y = 26, rule = B3/S23
11b2o$12bo$12bob2ob2obo$13bobobob2o$o13bo$3o$3bo19b2o$2b2o19bo$21bobo$21b2o$3b2o7b2ob2o$3b2o7bo3bo$13b3o11$6b2o$5bobo$7bo! Ad-hoc golly python searcher script's miscellaneous results yielded the above. pcallahan Posts: 319 Joined: April 26th, 2013, 1:04 pm ### Re: Oscillator Discussion Thread I don't remember finding that block reaction. July '94 actually predates when I made gencols available (Dec '94) so I am not sure what I was using. I do remember trying out triples of blocks looking for a stable reflector, but I don't remember posting anything about it. Assuming the attribution is accurate, where is it from? (Maybe comp.theory.cell-automata? I don't think I was on the early Life list at this point either). Anyway, nice to see something working with it. I can't find it in comp.theory.cell-automata on Google groups. Any other source for this? dvgrn Moderator Posts: 5886 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI Contact: ### Re: Oscillator Discussion Thread pcallahan wrote:I don't remember finding that block reaction. July '94 actually predates when I made gencols available (Dec '94) so I am not sure what I was using. I do remember trying out triples of blocks looking for a stable reflector, but I don't remember posting anything about it. Assuming the attribution is accurate, where is it from? (Maybe comp.theory.cell-automata? I don't think I was on the early Life list at this point either). Apparently you were indeed looking for a stable reflector at the time. Maybe the following will jog your memory. There's a boat-plus-four-eaters reaction in there that's pretty interesting -- if the return glider had been just one lane over, it would have connected nicely to a Herschel receiver/boojum reflector/rectifier. That's the second code block below, and the third code block is the three-block reaction: From: Paul Callahan Date: Tue, 12 Jul 94 10:53:06 EDT ... I've been using a collision program that is sufficient for finding individual catalysts, but I have had to combine them by hand. I took a break from this endeavor on Saturday and am not certain when I'll try again. In the close-but-no-cigar category, I submit the following: Code: Select all x = 201, y = 321 163bo$162bo$162b3o41$59b2o$59bo$57bobo$57b2o11$62b2o$62b2o20$36b2o$35b obo$35bo$34b2o23$32b2o$22b2o8b2o$23bo$23bobo$24b2o17$54b2o$54bobo$56bo$56b2o10$b2o$obo$2bo12$44b2o$44bo$42bobo$42b2o20$16b2o$16b2o11$21b2o$20bobo$20bo$19b2o45$143b2o$143bobo$143bo81$198b2o$198bobo$198bo! Code: Select all x = 50, y = 52 3bo$3b3o$6bo$5b2o$24b2o$24bo$22bobo$22b2o5$5bo$3bobo$4b2o5$9bo$8bobo$
9b2o8$2b2o$bobo$bo$2o$19b2o$19bo$20b3o$22bo13$47b2o$47bobo$47bo! Code: Select all x = 81, y = 80 2bo$obo$b2o67$72b2o5b2o$72b2o5b2o5$79b2o$79b2o$67b2o$66bobo$68bo!

Code: Select all

x = 61, y = 34
45b2o$45b2o2$60bo$58b3o$57bo$57b2o15$12bo$2obo8bobo$ob2o8b2o3$11b2o11b 2o$11b2o12bo$22b3o$22bo$17b2o$17bo$18b3o$20bo!
--Paul

pcallahan
Posts: 319
Joined: April 26th, 2013, 1:04 pm

### Re: Oscillator Discussion Thread

dvgrn wrote: Apparently you were indeed looking for a stable reflector at the time. Maybe the following will jog your memory.
Thanks! that does help. I am now pretty sure I remember being disappointed that the 3-block catalyst only shifts and does not reflect the glider, and I don't know if I ever tried to do anything else with it.

mniemiec
Posts: 1055
Joined: June 1st, 2013, 12:00 am

### Re: Oscillator Discussion Thread

The following interesting oscillator showed up in a soup 2 days ago. Its core is supported by 4 mutated molds: http://catagolue.appspot.com/object/xp4 ... 0111/b3s23
It forms from four mutated bakery predecessors surrounding an interchange predecessor, so it might be easy to synthesize:

Code: Select all

x = 48, y = 15, rule = B3/S23
3bo10bo$4bo8bo21bo6bo$5bo6bo20boobo4boboo$4bo8bo18bo12bo$3bo10bo16bobo
bbo4bobbobo$3o12b3o12bobbo3bobbo3bobbo$6b6o19boo4bobbo4boo$5bobboobbo 24bobbo$6b6o19boo4bobbo4boo$3o12b3o12bobbo3bobbo3bobbo$3bo10bo16bobobb
o4bobbobo$4bo8bo18bo12bo$5bo6bo20boobo4boboo$4bo8bo21bo6bo$3bo10bo!


dbell
Posts: 49
Joined: June 27th, 2013, 12:47 am
Contact:

### Re: Oscillator Discussion Thread

I found an old period 160 glider duplicator reaction in my files which used period 8 reflectors to support the reaction in a loop. Unfortunately, the duplicated gliders are on a close path to the others, and so usually have to be deleted.

I upgraded the reaction to use snarks instead of the reflectors, and this is shown here. Also, for a bit of added interest, I used some of the extra gliders for kickbacks to make a period 640 glider relay.
The separation of the two halfs can be adjusted by multiples of 40 cells to change the size and period of the relay.

Code: Select all

#C Period 640 glider relay built using two period 160 glider duplication
#C reactions and snarks.  This is based on a previous version which
#C used period 8 reflectors instead.
#C David I. Bell, 30 November 2017
x = 354, y = 308, rule = LifeHistory
183.2A3.2A$183.2A2.A.3A$187.A4.A$183.4A.2A2.A$183.A2.A.A.A.2A$185.BAB ABA.A$186.B2ABA.A$187.2B.BA$186.3B$177.2A6.4B$178.A6.B2A3B$178.A.AB3. B2A3B$179.2AB.10B13.A$181.13B10.3A$181.13BA8.A$181.14BA7.2A$183.8B2.
3AB3.5B$183.6B5.4B2.3B$182.9B4.9B7.2A.2A$181.4B4.2A5.8B8.A.2A$180.4B
5.A7.10B3.B.A$179.4B7.3A4.7B2A2B.B3A$169.A8.4B10.A4.7B2A3BAB2.2A$167. 5A5.4B5.2A9.12B4A2.A$166.A5.A4.4B5.A8.2AB.7B3.2B.A.2A$166.A2.3AB2.7B. BA.A7.A.AB.7B2.B3A2.A$165.2A.A.2B3.7B.B2A8.A5.4B4.A5.A$165.A2.4A12B9. 2A5.4B5.5A$166.2A2.BA3B2A7B15.4B8.A$168.3AB.2B2A7B14.4B$168.A.B3.10B
13.4B$165.2A.A8.8B11.4B$165.2A.2A7.9B9.4B$178.3B2.4B7.4B$176.5B3.4B5.
4B$176.2A7.4B3.4B$177.A8.4B.4B$174.3A10.7B$174.A13.5B$188.5B$187.7B$186.4B.4B$185.4B3.4B125.2A3.2A$184.4B5.4B124.2A2.A.3A$183.4B7.4B127.A
4.A$182.4B9.B3A122.4A.2A2.A$181.4B11.A3B8.A112.A2.A.A.A.2A$180.4B6.2A 5.A3B5.5A112.BABABA.A$179.4B8.A5.4B4.A5.A112.B2ABA.A$178.4B9.A.AB.7B 2.B3A2.A113.2B.BA$177.4B11.2AB.7B3.2B.A.2A111.3B$176.4B14.12B4A2.A 102.2A6.4B$175.4B15.7B2A3BAB2.2A104.A6.B2A3B$174.A3B16.7B2A2B.B3A106. A.AB3.B2A3B$173.A3B17.10B3.B.A107.2AB.10B13.A$172.B3A17.8B8.A.2A106. 13B10.3A$171.4B17.9B7.2A.2A106.13BA8.A$170.4B17.4B2.3B119.14BA7.2A$
169.4B17.4B3.5B119.8B2.3AB3.5B$168.4B17.4B7.2A119.6B5.4B2.3B$167.4B
17.4B8.A119.9B4.9B7.2A.2A$166.4B17.4B10.3A115.4B4.2A5.8B8.A.2A$165.4B
17.4B13.A114.4B5.A7.10B3.B.A$164.4B17.4B128.4B7.3A4.7B2A2B.B3A$163.4B
17.4B119.A8.4B10.A4.7B2A3BAB2.2A$162.4B17.4B118.5A5.4B5.2A9.12B4A2.A$
161.4B17.4B118.A5.A4.4B5.A8.2AB.7B3.2B.A.2A$160.4B17.4B119.A2.3AB2.7B .BA.A7.A.AB.7B2.B3A2.A$159.4B17.4B119.2A.A.2B3.7B.B2A8.A5.4B4.A5.A$158.4B17.4B120.A2.4A12B9.2A5.4B5.5A$157.4B17.4B122.2A2.BA3B2A7B15.4B
8.A$156.4B17.4B125.3AB.2B2A7B14.4B$155.4B17.4B126.A.B3.10B13.4B$154. 4B17.4B124.2A.A8.8B11.4B$153.4B17.4B125.2A.2A7.9B9.4B$152.4B17.4B139. 3B2.4B7.4B$151.4B17.4B138.5B3.4B5.4B$150.4B17.4B139.2A7.4B3.4B$149.4B
17.4B141.A8.4B.4B$148.4B17.4B139.3A10.7B$147.4B17.4B140.A13.5B$146.4B 17.4B155.5B$145.4B17.4B155.7B$144.4B17.4B155.4B.4B$143.4B17.3AB155.4B
3.4B$142.4B11.2A4.3BA155.4B5.4B$141.4B12.A4.3BA155.4B7.4B$140.4B10.BA .A3.4B155.4B9.B3A$139.4B8.B.BA.A3.4B155.4B11.A3B8.A$138.4B8.2A3BA3.4B 155.4B6.2A5.A3B5.5A$137.4B9.2AB.3B.4B155.4B8.A5.4B4.A5.A$136.4B11.B3. 6B155.4B9.A.AB.7B2.B3A2.A$135.4B15.6B155.4B11.2AB.7B3.2B.A.2A$134.A3B 15.6B155.4B14.12B4A2.A$133.A3B15.6B155.4B15.7B2A3BAB2.2A$132.B3A15.6B 155.A3B16.7B2A2B.B3A$131.4B15.6B155.A3B17.10B3.B.A$130.4B15.6B155.B3A 17.8B8.A.2A$129.4B15.6B155.4B17.9B7.2A.2A$128.4B15.6B155.4B17.4B2.3B$
127.4B15.2A4B155.4B17.4B3.5B$126.4B15.2B2A2B155.4B17.4B7.2A$125.4B15.
2BA3B155.4B17.4B8.A$124.4B15.6B155.4B17.4B10.3A$123.4B15.6B155.4B17.
4B13.A$122.4B15.6B155.4B17.4B$121.4B15.6B155.4B17.4B$120.4B15.6B155. 4B17.4B$119.4B15.6B155.4B17.4B$118.4B15.6B155.4B17.4B$117.4B15.6B155.
4B17.4B$116.4B15.6B155.4B17.4B$115.4B15.6B155.4B17.4B$114.4B15.6B155. 4B17.4B$113.4B15.8B153.4B17.4B$112.4B15.10B151.4B17.4B$111.4B15.6B.5B
149.4B17.4B$110.4B15.6B3.5B147.4B17.4B$109.4B15.6B5.5B145.4B17.4B$108.4B15.6B7.5B143.4B17.4B$107.4B15.6B9.5B141.4B17.4B$106.4B15.6B11. 5B139.4B17.4B$105.4B15.6B13.5B137.4B17.4B$104.4B15.6B15.5B135.4B17.4B$103.4B15.2B3AB17.5B133.4B17.4B$102.4B15.5BA19.5B131.4B17.4B$101.4B
15.5BA21.5B129.4B17.3AB$100.4B15.6B23.5B127.4B17.3BA$99.4B15.6B25.5B
125.4B17.3BA$98.4B15.6B27.5B123.4B17.4B$90.2A5.4B15.6B29.5B121.4B17.
4B$89.B2AB3.4B15.6B31.5B119.4B17.4B$90.2B3.4B15.6B33.5B117.4B17.4B$89.2B3.A3B10.A4.6B35.5B115.4B17.4B$88.BA2B.A3B9.3A3.6B37.5B113.4B17.
4B$88.A.A2B3A9.A5.6B39.5B111.A3B17.4B$89.A.4B.2B7.2A3.6B41.5B109.A3B
17.4B$86.3A4.B.3B4.5B2.6B43.5B107.B3A17.4B$86.A6.12B3.6B45.5B105.4B
17.4B$90.23B47.5B103.4B17.4B$89.17B2A4B49.5B101.4B17.4B$88.19B2A2B51. 5B99.4B17.4B$87.4B3A12BA3B53.5B97.4B17.4B$86.4BA3BA14B55.5B95.4B17.4B$85.4BA5BA12B57.2B2AB93.4B17.4B$84.6BA3BA12B59.BABAB91.4B17.4B$83.8B
3A12B61.A4B89.4B17.4B$82.6B3.12B6.A58.5B87.4B11.2A4.4B$81.6B2.5B4.3B.
B4.3A59.5B85.4B12.A4.4B$80.6B3.2A7.2B.4B.A63.5B83.4B10.BA.A3.4B$79.6B
5.A9.5BA.A63.5B81.4B8.B.BA.A3.4B$78.6B3.3A9.4B.2BAB64.5B79.4B8.2A3BA 3.4B$77.6B4.A10.4B3.2B66.5B70.2A5.4B9.2AB.3B.4B$76.6B15.4B3.2B68.5B 68.B2AB3.4B11.B3.6B$75.6B3.B11.4B3.B2AB68.5B68.2B3.4B15.6B$74.4B.3B.B 2A9.4B5.2A70.5B66.2B3.4B10.A4.6B$73.4B3.A3B2A8.4B79.5B64.BA2B.4B9.3A
3.6B$72.4B3.A.AB.B8.4B81.5B63.A.A5B9.A5.6B$71.4B3.A.AB10.4B83.5B63.A.
4B.2B7.2A3.6B$70.4B4.A12.4B85.5B59.3A4.B.3B4.5B2.6B$69.4B4.2A11.4B87.
5B58.A6.12B3.6B$68.4B17.4B89.5B61.12B3A8B$67.4B17.4B91.5B59.12BA3BA6B
$66.4B17.4B93.5B57.12BA5BA4B$65.4B17.4B95.5B55.14BA3BA4B$64.4B17.4B 97.5B53.3BA12B3A4B$63.4B17.4B99.5B51.2B2A19B$62.4B17.4B101.5B49.4B2A 17B$61.4B17.4B103.5B47.23B$60.4B17.4B105.5B45.6B3.12B6.A$59.4B17.3AB
107.5B43.6B2.5B4.3B.B4.3A$58.4B17.3BA109.5B41.6B3.2A7.2B.4B.A$57.4B
17.3BA111.5B39.6B5.A9.3A2BA.A$56.4B17.4B113.5B37.6B3.3A9.3BA.2BAB$55.
4B17.4B115.5B35.6B4.A10.3BA3.2B$54.4B17.4B117.5B33.6B15.4B3.2B$53.4B
17.4B119.5B31.6B15.4B3.B2AB$52.4B17.4B121.5B29.6B15.4B5.2A$51.4B17.4B
123.5B27.6B15.4B$50.A3B17.4B125.5B25.6B15.4B$49.A3B17.4B127.5B23.6B
15.4B$48.B3A17.4B129.5B21.A5B15.4B$47.4B17.4B131.5B19.A5B15.4B$46.4B 17.4B133.5B17.B3A2B15.4B$45.4B17.4B135.5B15.6B15.4B$44.4B17.4B137.5B 13.6B15.4B$43.4B17.4B139.5B11.6B15.4B$42.4B17.4B141.5B9.6B15.4B$41.4B
17.4B143.5B7.6B15.4B$40.4B17.4B145.5B5.6B15.4B$39.4B17.4B147.5B3.6B
15.4B$38.4B17.4B149.5B.6B15.4B$37.4B17.4B151.10B15.4B$36.4B17.4B153. 8B15.4B$35.4B17.4B155.6B15.4B$34.4B17.4B155.6B15.4B$33.4B17.4B155.6B
15.4B$32.4B17.4B155.6B15.4B$31.4B17.4B155.6B15.4B$30.4B17.4B155.6B15. 4B$29.4B17.4B155.6B15.4B$28.4B17.4B155.6B15.4B$27.4B17.4B155.6B15.4B$12.A13.4B17.4B155.6B15.4B$12.3A10.4B17.4B155.6B15.4B$15.A8.4B17.4B 155.3BA2B15.4B$14.2A7.4B17.4B155.2B2A2B15.4B$14.5B3.4B17.4B155.4B2A 15.4B$16.3B2.4B17.4B155.6B15.4B$3.2A.2A7.9B17.4B155.6B15.4B$3.2A.A8.
8B17.3AB155.6B15.4B$6.A.B3.10B17.3BA155.6B15.4B$6.3AB.2B2A7B16.3BA
155.6B15.3AB$4.2A2.BA3B2A7B15.4B155.6B15.3BA$3.A2.4A12B14.4B155.6B15.
3BA$3.2A.A.2B3.7B.B2A11.4B155.6B15.4B$4.A2.3AB2.7B.BA.A9.4B155.6B3.B
11.4B$4.A5.A4.4B5.A8.4B155.4B.3B.B2A9.4B$5.5A5.3BA5.2A6.4B155.4B3.A3B
2A8.4B$7.A8.3BA11.4B155.4B3.A.AB.B8.4B$17.3AB9.4B155.4B3.A.AB10.4B$18.4B7.4B155.A3B4.A12.4B$19.4B5.4B155.A3B4.2A11.4B$20.4B3.4B155.B3A 17.4B$21.4B.4B155.4B17.4B$22.7B155.4B17.4B$23.5B155.4B17.4B$23.5B13.A 140.4B17.4B$22.7B10.3A139.4B17.4B$21.4B.4B8.A141.4B17.4B$20.4B3.4B7.
2A139.4B17.4B$19.4B5.4B3.5B138.4B17.4B$18.4B7.4B2.3B139.4B17.4B$17.4B 9.9B7.2A.2A125.4B17.4B$16.4B11.8B8.A.2A124.4B17.4B$15.4B13.10B3.B.A 126.4B17.4B$14.4B14.7B2A2B.B3A125.4B17.4B$4.A8.4B15.7B2A3BAB2.2A122. 4B17.4B$2.5A5.4B5.2A9.12B4A2.A120.4B17.4B$.A5.A4.4B5.A8.2AB.7B3.2B.A. 2A119.4B17.4B$.A2.3AB2.7B.BA.A7.A.AB.7B2.B3A2.A119.4B17.4B$2A.A.2B3. 7B.B2A8.A5.4B4.A5.A118.4B17.4B$A2.4A12B9.2A5.4B5.5A118.4B17.4B$.2A2.B A3B2A7B4.A10.4B8.A119.4B17.4B$3.3AB.2B2A7B4.3A7.4B128.4B17.4B$3.A.B3. 10B7.A5.4B114.A13.4B17.4B$2A.A8.8B5.2A4.4B115.3A10.4B17.4B$2A.2A7.9B 4.9B119.A8.4B17.4B$13.3B2.4B5.6B119.2A7.4B17.4B$11.5B3.B3A2.8B119.5B 3.4B17.4B$11.2A7.A14B119.3B2.4B17.4B$12.A8.A13B106.2A.2A7.9B17.4B$9.
3A10.13B106.2A.A8.8B17.3AB$9.A13.10B.B2A107.A.B3.10B17.3BA$25.3B2AB3.
BA.A106.3AB.2B2A7B16.3BA$25.3B2AB6.A104.2A2.BA3B2A7B15.4B$27.4B6.2A
102.A2.4A12B14.4B$27.3B111.2A.A.2B3.7B.B2A11.4B$24.AB.2B113.A2.3AB2.
7B.BA.A9.4B$23.A.AB2AB112.A5.A4.4B5.A8.4B$23.A.ABABAB112.5A5.3BA5.2A
6.4B$22.2A.A.A.A2.A112.A8.3BA11.4B$23.A2.2A.4A122.3AB9.4B$23.A4.A127. 4B7.4B$24.3A.A2.2A124.4B5.4B$26.2A3.2A125.4B3.4B$159.4B.4B$160.7B$
161.5B$161.5B13.A$160.7B10.3A$159.4B.4B8.A$158.4B3.4B7.2A$157.4B5.4B 3.5B$156.4B7.4B2.3B$155.4B9.9B7.2A.2A$154.4B11.8B8.A.2A$153.4B13.10B 3.B.A$152.4B14.7B2A2B.B3A$142.A8.4B15.7B2A3BAB2.2A$140.5A5.4B5.2A9.
12B4A2.A$139.A5.A4.4B5.A8.2AB.7B3.2B.A.2A$139.A2.3AB2.7B.BA.A7.A.AB.
7B2.B3A2.A$138.2A.A.2B3.7B.B2A8.A5.4B4.A5.A$138.A2.4A12B9.2A5.4B5.5A$139.2A2.BA3B2A7B4.A10.4B8.A$141.3AB.2B2A7B4.3A7.4B$141.A.B3.10B7.A5. 4B$138.2A.A8.8B5.2A4.4B$138.2A.2A7.9B4.9B$151.3B2.4B5.6B$149.5B3.B3A 2.8B$149.2A7.A14B$150.A8.A13B$147.3A10.13B$147.A13.10B.B2A$163.3B2AB
3.BA.A$163.3B2AB6.A$165.4B6.2A$165.3B$162.AB.2B$161.A.AB2AB$161.A.ABA
BAB$160.2A.A.A.A2.A$161.A2.2A.4A$161.A4.A$162.3A.A2.2A$164.2A3.2A!  Previously, I managed to build a glider gun from the glider duplicating reaction by adding a pi heptomino glider reflecting reaction to extract the inconvenient extra gliders. This is shown below, and also shows how the p8 reflectors were used. Code: Select all #C Period 160 glider gun built using period 160 glider duplication #C reactions and a pi based glider reflection reaction. #C David I. Bell, June 2004 x = 191, y = 189, rule = LifeHistory 179.2B$178.BAB$178.3A2B$177.AB3AB$167.A8.A.2BAB$167.3A4.BA2B.A$170.A 2.B3ABA$169.2A2.2B3A$169.4B2.BAB$171.BAB.2B$170.BABA.B$167.2A.B2A2B$26.2B139.2A7B$25.BAB140.7B$25.ABA2B3.BA133.7B3.2A5.2A$24.A3BAB3.2AB
133.6B.2B2A5.A$14.A8.A.2BAB2.BAB2A111.2A19.11B3.BA.A$14.3A4.BA2B.A4.
3A2BA110.3B17.4B2.8B.B2A$17.A2.BA3BA6.BABA.A8.A98.A3BA16.4B4.5B2A2B$
16.2A2.2BABA9.A.ABAB4.3A98.A4BA14.4B5.5BABAB$2.BA12.4B2.BAB10.A2B3A2. A102.BABA.A12.4B5.7BAB.2B$2.2AB13.BAB.2B12.2ABAB2.2A103.A.ABAB9.4B5.
8B3.3B$BAB2A12.BABA.B13.B2A2.4B104.A4BA7.4B5.4B3.B.3B2AB$3A2BA8.2A.B
2A2B15.AB.BAB107.A3BAB.B3.A3B5.4B7.2B2ABA$.BABA.A7.2A7B15.B.ABAB106. 3B3.5B2AB5.4B9.4B.A$3.A.ABAB6.7B17.2B2AB.2A104.2A.BA4BABA5.4B12.A.4B$4.A2B3A5.7B16.7B2A106.BABA5B5.4B14.AB2A2B$5.2ABA2B.B3.6B17.7B107.2B2A
5B4.4B16.B2A2B$5.B2A3.12B16.7B105.2AB.8B2.4B17.3B$6.AB.BA7B2.4B15.6B
105.A.AB3.11B19.2B$8.BABA5B4.4B13.8B104.A5.2A2B.6B$8.2B2A5B5.4B11.4B
2.4B102.2A5.2A4.4B19.2B$6.2AB.8B5.4B9.4B4.4B113.6B17.BAB$5.A.AB3.7B5.
4B7.4B6.4B111.8B16.3A2B$5.A5.2A2B.4B5.4B5.4B8.4B109.4B2.4B14.AB3AB$4.
2A5.2A4.4B5.4B3.4B10.4B107.4B4.4B12.A.2BAB$18.4B5.4B.4B12.4B105.4B6. 4B9.BA2B.A$19.4B5.7B14.4B103.4B8.4B7.B3ABA$20.4B5.5B16.4B101.4B10.4B 3.B.3B3A$21.3BA4.5B17.4B99.4B12.8B3.BAB$22.B2AB2.7B17.4B97.4B14.7BAB. 2B$23.ABA5B.4B17.4B95.4B16.5BABAB$24.6B3.4B12.A4.4B93.BA2B17.5B2A2B$
24.7B3.4B11.3A3.4B91.2A2B17.8B.B2A$24.7B4.4B13.A.6B89.2B2A17.7B3.BA.A$23.7B2A4.4B11.A.A7B87.4B17.4B.2B2A5.A$24.2B2AB.2A5.4B10.BA2B.6B85.4B 17.4B4.2A5.2A$23.B.ABAB9.4B10.2B3.6B83.4B17.4B$22.2B.BAB11.4B10.2B3. 6B81.4B17.4B$21.3B2.4B10.4B8.B2AB3.4B2A79.4B11.2A4.4B$21.B2A2B2.2A11. 2BAB8.2A5.2B2A2B77.4B12.A4.4B$20.AB2A2B2.A13.2B2A15.3BA2B4.2A69.4B10.
BA.A3.4B$19.A.4B4.3A11.2A2B10.2A3.6B4.A68.4B8.B.BA.A3.4B$17.4B.A8.A
12.4B10.A4.6B3.A.AB64.4B8.2A3BA3.4B$16.2B2ABA23.4B9.A.AB.7B3.A.AB.B 53.2A5.4B9.2AB.3B.4B$16.2B2AB25.4B9.2AB.8B3.A3B2A44.2B5.B2AB3.4B11.B
3.6B$18.3B26.4B10.10B2.3B.B2A43.BAB6.2B3.4B15.6B$18.2B28.4B9.10B2.2B
3.B44.3A2B3.2B3.4B10.A4.6B$49.4B8.8BA6B46.AB3AB2.BA2B.4B9.3A3.6B$50.
4B8.6B3AB.4B19.2B14.A8.A.2BAB3.A.A5B9.A5.6B$51.4B7.5BA3BAB.4B17.3A14. 3A4.BA2B.A6.A.4B.2B7.2A3.6B$52.4B6.2B2AB2AB3AB.4B16.3BAB15.A2.B3ABA4.
3A4.B.3B4.5B2.6B$53.4B5.BA3BA2B2A2B2.4B14.A3BAB14.2A2.2B3A5.A6.12B3. 6B$54.4B2.4BABA3BAB5.4B12.A.A2BA15.4B2.BAB9.19B2A2B$55.4B.9BA2B6.4B9. A2BA.A19.BAB.2B9.7BAB2ABA8B2A$56.4B.5B3A3B7.4B7.BA3BA19.BABA.B9.7BA2B
A10BAB$57.4B.4B2A4B8.4B3.B.2BA3B17.2A.B2A2B9.7B3A13B$58.8BA6B8.8B3.3A
17.2A7B7.9B2A2BA9B$55.B3.2B2.10B9.7BAB.2B19.7B7.11B2ABABA6B$54.2AB.3B
2.10B10.5BABAB21.7B6.13B2AB2A5B$54.2A3BA3.8B.B2A8.5B2A2B22.6B5.15B3A 5B$55.B.BA.A3.7B.BA.A6.8B.B2A19.8B3.6B3.8BA3B6.A$58.BA.A3.6B4.A5.7B3. BA.A17.4B2.4B.2BA3B2.5B4.3B.B4.3A$61.A4.6B3.2A3.4B.2B2A5.A16.4B4.6BAB
A3.2A7.2B.4B.A$61.2A4.6B6.4B4.2A5.2A14.4B6.5B2A5.A9.5BA.A$68.6B4.4B
27.4B7.6B3.3A9.4B.2BAB$69.5BA2.4B27.A3B7.7B3.A10.4B3.2B$70.2BABA5B27.
B2AB7.9B12.4B3.2B$71.2B2A4B27.BABA7.6B.4B10.4B3.B2AB$72.6B27.4B7.6B3.
4B8.4B5.2A$73.6B25.4B7.6B5.4B6.4B$72.8B23.4B7.6B7.4B4.4B$71.10B21.4B 7.6B9.4B2.4B$70.4B2.6B19.4B7.6B11.8B$69.4B4.6B17.4B7.6B13.6B$68.4B6.
6B15.4B7.6B13.7B$67.4B8.6B13.4B7.6B14.7B$66.4B10.6B11.4B7.6B14.2A7B$65.4B12.6B9.4B7.BA4B15.2A.B2A2B$64.4B14.6B7.4B7.2A4B19.BABA.B$63.4B 16.6B5.4B7.2B2A2B21.BAB.2B$62.4B18.6B3.4B7.6B20.4B2.BAB$61.4B20.6B.4B 7.6B21.2A2.2BABA$60.3AB22.9B7.6B23.A2.BA3BA$59.3BA24.2BA4B7.6B21.3A4. BA2B.A$58.3BA26.2B2A2B6.6B22.A8.A.2BAB$57.4B27.B2A4B4.6B33.A3BAB$56.
4B27.9B2.6B35.ABA2B$55.4B27.4B.12B36.BAB$54.4B27.4B3.10B.3B34.2B$53. 4B27.4B5.14B$52.4B27.4B4.2B.13B.2B$51.4B27.4B4.21B$50.4B27.4B3.25B$49.4B27.4B4.25B$48.4B27.4B4.27B$26.2B19.4B27.4B5.3BABA15BABA3B$26.3B
17.4B6.2A19.4B5.4B2A17B2A4B$24.2B3A16.4B7.3B17.4B7.4BA17BA4B$24.2B3AB
14.4B6.A3BA16.4B7.7B2.11B2.6B$25.B3A.B12.4B7.A4BA14.4B7.5B.B3.12B2.B. 4B$27.B.3AB9.4B9.BABA.A12.4B7.5B7.B.5B.4B4.4B$28.B3A2B7.4B12.A.ABAB9. 4B7.5B11.3B3.4B4.4B4.2A5.2A$29.3A3B.B3.4B14.A4BA7.4B7.5B11.5B3.4B4.4B
.2B2A5.A$29.3B3.8B16.A3BAB.B3.4B7.5B13.3B5.4B4.7B3.BA.A$30.2B.BA7B17.
3B3.3A5B7.5B13.5B5.4B4.8B.B2A$32.BABA5B19.2A.B5A3B7.5B14.5A6.4B4.5B2A 2B$32.2B2A5B21.BA2BAB2AB7.6B13.A5BA6.4B3.5BABAB$30.2AB.8B20.2B5A2B6. 6B12.3A.3B.3A5.4B.7BAB.BA$29.A.AB3.7B17.2AB.B2A5B4.4B3.3B8.A3.5B3.A5.
11B3.2AB$29.A5.2A2B.4B15.A.AB3.BA5B2.4B4.3B2A2.A3.A.3A.A.4A7.5B3.B.2B AB2A$28.2A5.2A4.4B14.A5.2A2B.8B4.2A2B2A3BA3.A3.3A11.5B6.3A2BA$42.4B 12.2A5.2A4.6B5.2A7BA5.A.B.B.2A.A5.7B6.BABA.A$43.4B24.7B5.B2.B4A5.2A.A
BA.A.2A4.4B.4B7.A.ABAB$44.4B23.7B10.3B6.A.A2.A7.4B3.4B7.A2B3A$45.4B
21.7B2A18.A2.2A7.4B5.4B7.2ABAB$46.4B21.2B2AB.2A17.2A10.4B7.4B6.B2A$
47.4B19.B.ABAB31.4B9.4B6.AB$48.4B17.AB.BAB31.4B11.4B$49.4B15.B2A2.4B
28.4B13.4B$50.4B14.2ABAB2.2A27.4B15.4B$51.4B12.A2B3A2.A27.4B17.4B$52. 3BA10.A.ABAB4.3A23.4B19.4B$53.B2AB7.BABA.A8.A22.4B21.4B4.2A5.2A$54.AB AB5.3A2BA31.4B23.2BAB.2B2A5.A$55.4B4.BAB2A31.4B25.2B2A3B3.BA.A$56.4B 5.2AB30.4B27.2A6B.B2A$57.4B4.BA30.4B29.5B2A2B$58.4B34.4B30.5BABAB$59.
4B32.4B30.7BAB.2B$60.4B30.4B30.8B3.BAB$61.4B28.4B30.4B3.B.3B3A$62.4B 26.4B30.4B7.B3ABA$63.4B24.4B30.4B9.BA2B.A$64.4B22.4B30.4B12.A.2BAB$
65.4B20.A3B30.4B14.AB3AB$66.4B18.A3B30.4B16.3A2B$67.4B16.B3A30.4B17.B
AB$68.4B14.4B30.4B19.2B$69.4B12.4B30.4B$70.4B10.4B30.4B$71.4B8.4B30.
4B$72.4B6.4B30.4B$73.4B4.4B30.4B$74.4B2.4B30.4B$75.8B30.4B$76.6B30.4B$77.4B30.4B$76.6B28.4B$75.8B26.4B$74.4B2.4B24.4B$73.4B4.4B22.4B$72.4B 6.4B20.4B$71.4B8.4B18.4B$70.4B10.4B16.4B$69.4B12.4B14.4B$68.4B14.4B 12.4B$67.4B16.4B10.4B$66.4B18.4B8.4B$65.4B20.4B6.4B$64.4B22.4B4.4B$
63.4B24.4B2.4B$62.4B26.3BA4B$61.4B28.B4AB$60.4B29.BAB3AB$59.4B30.4B3A
$58.4B30.6BABA$57.4B32.A4B.2A$56.4B32.B.B2AB$55.4B32.2B.B2A$54.4B32. 3B2.4B$53.4B33.B2A2B2.2A$52.4B33.AB2A2B2.A$51.4B33.A.4B4.3A$50.4B32. 4B.A8.A$49.A3B32.2B2ABA$48.A3B33.2B2AB$48.3A36.3B$87.2B!  To make a modern version of this without any foreign oscillators, snarks can probably be used to eliminate all the p8 reflectors, and a catalyst can eliminate the period 5 sparker, but I don't see offhand how to avoid the p8 blocker. BCNU, -dbell Sokwe Moderator Posts: 1480 Joined: July 9th, 2009, 2:44 pm ### Re: Oscillator Discussion Thread I'm just posting to acknowledge Tanner Jacobi's stable support of the p130 engine and new T-nose variants. This is primarily for record keeping. -Matthias Merzenich 2718281828 Posts: 738 Joined: August 8th, 2017, 5:38 pm ### Re: Oscillator Discussion Thread At http://www.conwaylife.com/wiki/Oscillator the 106P135 (http://www.conwaylife.com/wiki/106P135) is listed as smallest p135 oscillator. I know this is out of the common area of interest - and the 106P135 is nice, but the fumarole on 56P27 is non-trivial and smaller with only 74 cells: Code: Select all x = 34, y = 30, rule = B3/S23 15b2o$15b2o5$13b2o$14b2o$10bo4bo$10bo3bo$10b2o7b3o$19bo2$2o21bo$2o5b2o
11bob2o$6b2obo11b2o5b2o$6bo21b2o2$10bo$8b3o7b2o$15bo3bo$14bo4bo9b2o$14b2o11b2o2b2o$15b2o10bo4bo$28bo2bo$26bobo2bobo$26b2o4b2o2$13b2o$13b2o!  (see generation 123) EDIT1: Similarly for p80, 122p80.1 is listed as smallest (http://www.conwaylife.com/wiki/122P80.1), but we have the fumarole on Rich's p16 which has only 52 cells: Code: Select all x = 22, y = 14, rule = B3/S23 20b2o$17b2o2bo$17bob2o$16bo$4bo3bo7bo$3bobobobo7bob2o$4b2ob2o8b2o2bo$
20b2o$bo9bo$obo7bobo$o3b2ob2o3bo$bo3bobo3bo$2b2obobob2o$4bo3bo!


AbhpzTa
Posts: 475
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

### Re: Oscillator Discussion Thread

2718281828 wrote:At http://www.conwaylife.com/wiki/Oscillator the 106P135 (http://www.conwaylife.com/wiki/106P135) is listed as smallest p135 oscillator. I know this is out of the common area of interest - and the 106P135 is nice, but the fumarole on 56P27 is non-trivial and smaller with only 74 cells:

Code: Select all

x = 34, y = 30, rule = B3/S23
15b2o$15b2o5$13b2o$14b2o$10bo4bo$10bo3bo$10b2o7b3o$19bo2$2o21bo$2o5b2o 11bob2o$6b2obo11b2o5b2o$6bo21b2o2$10bo$8b3o7b2o$15bo3bo$14bo4bo9b2o$
14b2o11b2o2b2o$15b2o10bo4bo$28bo2bo$26bobo2bobo$26b2o4b2o2$13b2o$13b2o!

(see generation 123)
The pentadecathlon on 56P27 is nontrivial and only 68 cells (see generation 95):

Code: Select all

x = 35, y = 30, rule = B3/S23
$10b2ob2o2$7bo9bo$6bobo7bobo$6bo3b2ob2o3bo$7bo3bobo3bo$8b2obobob2o$10b o3bo! blonker on Rich's p16 Saka Posts: 3138 Joined: June 19th, 2015, 8:50 pm Location: In the kingdom of Sultan Hamengkubuwono X ### Re: Oscillator Discussion Thread 2718281828 wrote:A new minimal period 48 oscillator with 55 cells: Code: Select all nice blonker on Rich's p16 Nice! Following that here's a PD on Rich p16 which gives p240 with an interesting reaction a few gens later. Code: Select all x = 25, y = 14, rule = B3/S23 19b3o$18bo3bo$17bo5bo2$b2ob2o3b2ob2o2bo7bo$o5bobo5bobo7bo$5b2ob2o$3bo 7bo5bo5bo$o2bob2ob2obo2bo3bo3bo$bo3bo3bo3bo5b3o$2b2ob2ob2ob2o$3bo2bobo 2bo$4bobobobo$5bo3bo!  Has this smiley interaction been discovered? Code: Select all x = 13, y = 15, rule = B3/S23 6b3ob3o3$7b5o$6bo5bo$9bo$6b2obob2o2$2obob2o$3bo$o5bo$b5o3$3ob3o!

Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!  (Check gen 2) mniemiec Posts: 1055 Joined: June 1st, 2013, 12:00 am ### Re: Oscillator Discussion Thread Saka wrote:Following that here's a PD on Rich p16 which gives p240 with an interesting reaction a few gens later. ... Has this smiley interaction been discovered? ... Interesting. I hadn't tried different geometries; I just cloned the P80 and replaced the fumarole with a pentadecathlon to make the P240 (an its synthesis works for this one too, just by moving the pentadecathlon gliders one space). Sadly, this unusual spark trick doesn't work with a fumarole. I hadn't seen the smileys either. There seem to be two ways smileys can share sparks, although I don't see how to synthesize either one of them, as none of the known smiley syntheses edge shoot one. Smiley+pentadecathlon also works, for a true P120. 2718281828 Posts: 738 Joined: August 8th, 2017, 5:38 pm ### Re: Oscillator Discussion Thread A new minimal 74p78: Code: Select all x = 18, y = 31, rule = 23/3 4b3o2$6bo$6b2o$5bo$8bo$4bo3bo$9b2o$2o2b3o5bo$2o5bo4b2obo$7bo3bo3bo$7bo bo5bo3$6b2o$6b2o$11b3o2$12bo2$7b2o2b3o2b2o$7bobob3obobo$8bo7bo2$8bo7bo$7bobob3obobo$7b2o2b3o2b2o2$12bo2$11b3o! which is T-nosed p6 on 34P13. I also found two unusual combinations of Rich's p16: Code: Select all x = 62, y = 25, rule = LifeHistory 3.8B25.B5.B$2.2B3A5B23.3A3.3A$2.B2ABA5B21.5B3.5B$.BA2B2A6B19.B2A2B.A.
A.2B2AB$B6A3BA3B18.BA4BA.A4BAB$.BA.B2A2BA.AB19.A5BA.A5BA$3.3A3B2A21.B A4BA.A4BAB$32.2B3A2B.2B3A2B$3.3A3B2A21.7B.7B$.BA.B2A2BA.AB19.5B2A.2A
5B4.B5.B$B6A3BA3B18.4BA.A.A.A4B3.3B3.3B$.BA2B2A6B4.B5.B9.4BA3.A10BA3.
A4B$2.B2ABA6B3.3B3.3B10.3B3.3B3.4BA.A.A.A4B$2.2B3A11BA3.A4B9.B5.B4.5B
2A.2A5B$3.9B.4BA.A.A.A4B19.7B.7B$13.5B2A.2A5B19.7B.7B$13.7B.7B19.B5AB .B5AB$13.7B.7B19.BAB4A.4ABAB$13.B5AB.B5AB19.B2ABABA.ABAB2AB$13.BAB4A.
4ABAB19.2BABA.A.A.ABA2B$13.B2ABABA.ABAB2AB20.2B3A3.3A2B$13.2BABA.A.A.
ABA2B22.BAB3.BAB$14.2B3A3.3A2B24.B5.B$16.BAB3.BAB$17.B5.B! The sparks are not as special as for the PD on Rich p16, still nice. And I am not sure, but maybe some weird combination of such p16 (and p8) oscillators and maybe a few still lifes could even give us a p16 gun. mniemiec Posts: 1055 Joined: June 1st, 2013, 12:00 am ### Re: Oscillator Discussion Thread 2718281828 wrote:I also found two unusual combinations of Rich's p16: ... The sparks are not as special as for the PD on Rich p16, still nice. And I am not sure, but maybe some weird combination of such p16 (and p8) oscillators and maybe a few still lifes could even give us a p16 gun. A true P16 would be nice, but a reaction would have to be very tight to be able to create gliders that close together without interfering with the previous gliders. 2718281828 Posts: 738 Joined: August 8th, 2017, 5:38 pm ### Re: Oscillator Discussion Thread 2718281828 wrote:A new minimal 74p78: Code: Select all x = 18, y = 31, rule = 23/3 4b3o2$6bo$6b2o$5bo$8bo$4bo3bo$9b2o$2o2b3o5bo$2o5bo4b2obo$7bo3bo3bo$7bo bo5bo3$6b2o$6b2o$11b3o2$12bo2$7b2o2b3o2b2o$7bobob3obobo$8bo7bo2$8bo7bo$7bobob3obobo$7b2o2b3o2b2o2$12bo2$11b3o! which is T-nosed p6 on 34P13. I just noticed that http://www.conwaylife.com/wiki/Talk:Oscillator lists some of the recent 'founds' like the p135: Code: Select all x = 285, y = 230, rule = B3/S23 49bo$49bo109b2o$48bobo110bo$49bo108bo97b2o3b3o3b2o$49bo108bo3bo92bobo 9bobo$49bo93b2o3b2o8bo3b4o89bo13bo$49bo88bo2bo3bobo3bo2bo5bo91b2ob2o2b 2o3b2o2b2ob2o$48bobo47b2obo6b2obo25bob2o4bobo4b2obo96b2obo13bob2o$2bob 2o6bob2o33bo48bob2o6bob2o25bobob2obo3bob2obobo99bob4o3b4obo$2b2obo6b2o
bo33bo46b2o4b2o2b2o30b2o3bo5bo3b2o100bobo3b3o3bobo$6b2o2b2o84bo5bo3bo 149bo11bo$7bo3bo85bo5bo3bo88b2o5b2obo4b2o3b2o56bo$6bo3bo85b2o4b2o2b2o 89bo5bob2o4b2o3b2o56bobo$6b2o2b2o86b2obo6b2obo84bo10b2o64bobo$4b2o6bob 2o14bo2bo4bo2bo56bob2o6bob2o84b2o9bo3b2o3b2o57bo$5bo6b2obo12b3o2b6o2b
3o58b2o2b2o4b2o94bo2bobobobo27bo$4bo11b2o12bo2bo4bo2bo60bo3bo5bo83b2o 9b2o4bobo29b3o$4b2o11bo32b2o51bo3bo5bo83bo5b2obo5b2obo32bo30b2o$2b2o 12bo32b2o51b2o2b2o4b2o82bo6bob2o9b2o29b2o30b2o$3bo12b2o33bo46b2obo6b2o
bo26b2o3bo5bo3b2o41b2o3b2o14bo$2bo9bob2o44bo4bo32bob2o6bob2o25bobob2ob o3bob2obobo45bo14bo$2b2o8b2obo42b2ob4ob2o69bob2o4bobo4b2obo40b2o4bo13b
2o39bo2bo$60bo4bo72bo2bo3bobo3bo2bo42bo3b2o14bo42bo$143b2o3b2o46bo6b2o
bo9bo25b2o11bo4bo13b2o$196b2o5bob2o9b2o24b2o11bo3b2o13bo$256bo18b3o$257bo19bo$247bo10b3o$247bobo$246bobo$248bo$254bo3bobobo3bo$253bobo9bob o$253bobo9bobo$250b2obobob7obobob2o$250b2obo13bob2o$253bo13bo$145b2o
106bobo9bobo$145b2o107b2o3b3o3b2o$47b3o90bo10bo$139bobo8bobo$47bo90bob
o3bo2bo3bobo$46b2o89bobo4bo2bo4bobo$48bo49b2obo6b2obo26bo5bo2bo5bo$2bo b2o6b2obo29bo52bob2o6bob2o$2b2obo6bob2o29bo3bo46b2o4b2o2b2o4b2o$6b2o2b 2o4b2o25b2o51bo5bo3bo5bo26b3o8b3o$7bo2bo5bo24bo5b3o2b2o43bo5bo3bo5bo
21b2o18b2o$6bo4bo5bo20bob2o4bo5b2o42b2o4b2o2b2o4b2o21b2o18b2o$6b2o2b2o
4b2o20bo3bo3bo51b2obo6b2obo27b3o8b3o$4b2o6b2obo22bo5bobo51bob2o6bob2o$
5bo6bob2o86b2o8b2o$4bo5b2o4b2o84bo9bo25bo5bo2bo5bo104bo$4b2o4bo5bo29b
2o55bo9bo23bobo4bo2bo4bobo102bobo$2b2o7bo5bo24bo3b2o54b2o8b2o24bobo3bo 2bo3bobo98bo4bobo$3bo6b2o4b2o23bobo54b2obo6b2obo27bobo8bobo98bobo2b2ob
2o2b2o$2bo9b2obo21bo2b2obo54bob2o6bob2o28bo10bo100bo3bo5bo2bo$2b2o8bob
2o21b2o2bo2b2o99b2o110b3o4bo2bo$42bobo85b2o13b2o103b5o4bo2bobob2o$37b
6obo86bo27b2o88bo4bo5b2o2bo$37bo5bo87bobo25bo88bo2bo11b2o$40b3o89b2o
23bobo85bo2bob2o$40bo96bo4bo14b2o37b2o3b2obo6b2obo29bobobo5bo$135b2ob
4ob2o3bo4bo43bo3bob2o6bob2o30bo2bo4bobo$137bo4bo3b2ob4ob2o40bo8b2o2b2o 4b2o31b2o2bo2bo$132b2o14bo4bo42b2o7bo3bo5bo37b2o$131bobo23b2o47bo3bo5b o28b2o$131bo25bobo36b2o7b2o2b2o4b2o26b3obo$130b2o27bo37bo3b2obo4bo5bo 26bo4bo$159b2o35bo4bob2o5bo5bo26b3ob2o29b2o$196b2o7b2o2b2o4b2o28bo3bo 28bo$205bo3bo5bo33bo30bo$196b2o8bo3bo5bo29bobo27b4obo$197bo7b2o2b2o4b
2o28bo4bo25bo4bo$196bo4b2obo6b2obo30bob4o27bobo$196b2o3bob2o6bob2o31bo
25bo4bo$248bo24bo3bo3bo$247b2o22b3o4b2ob3o$2b2obo6b2obo263bo4bo$2bob2o
6bob2o23b2o2bo235bob3o$2o4b2o2b2o4b2o17b2o2b2o3bo235b2o$o5bo3bo5bo18b
2o7bo222bo4b2o$bo5bo3bo5bo22b4o5b2o214bobo3bo2bo2b2o$2o4b2o2b2o4b2o31b
3o214b2o3bobo4bo2bo$2b2obo4bo5bo32b2obo219bo5bobobo$2bob2o5bo5bo16b2o
9bo5bobo221b2obo2bo$2o4b2o2b2o4b2o16bo2b3o4b2o4bo2bo208b2o11bo2bo$o5bo
3bo5bo18b2o14b2o209bo2b2o5bo4bo$bo5bo3bo5bo22bo3b2o50b2o5b2obo4b2o3b2o 141b2obobo2bo4b5o$2o4b2o2b2o4b2o22bo4bo51bo5bob2o4b2o3b2o141bo2bo4b3o$2b2obo6b2obo19b2o59bo4b2o4b2o43b3o106bo2bo5bo3bo$2bob2o6bob2o18bo2b3o
56b2o3bo5bo3b2o3b2o28b2o114b2o2b2ob2o2bobo$34b2o66bo5bo2bobobobo26bob 2o6bo112bobo4bo$96b2o3b2o4b2o4bobo27bo10b2o111bobo$97bo3bo5bo4b2obo30b o6bo114bo$96bo5bo5bo7b2o24b2obo10bo$96b2o3b2o4b2o8bo24b2o8bo3bo$101bo
5bo8bo40b2o$96b2o4bo5bo7b2o30b2o2b3o5bo$97bo3b2o4b2o8bo30b2o5bo4b2obo$96bo6b2obo9bo38bo3bo3bo$96b2o5bob2o9b2o37bobo5bo$53bo2bo$53bo$52bo4bo 96b2o$51bobo2b2o96b2o$49b2obo2$44bo212b2o6b2o$44bo4bo2bo204b2o6b2o$2b
2obo4b2o3b2o26bo7b2o220bo$2bob2o4b2o3b2o25bo228bo3b4o$2o4b2o34bo4bo
223bo3bo$o5bo3b2o3b2o254bo$bo5bo2bobobobo24b2o3bo227bo$2o4b2o4bobo25bo 5bo194b2o29b2o7b2o$2b2obo5b2obo25bo3b2o194bobo38bobo$2bob2o9b2o223bobo b2o32b2obobo$2o4b2o8bo22bo4bo105b2o44b2o3b2obo6b2obo26bobobo32bobobo$o 5bo8bo28bo105b2o45bo3bob2o6bob2o28bo36bo$bo5bo7b2o26bo152bo8b2o8b2o24b
o2bo34bo2bo$2o4b2o8bo17bo2bo4bo153b2o7bo9bo28bo13b2o4b2o13bo$2b2obo9bo
18bo7bo163bo9bo23bo3bo12bobo4bobo12bo3bo$2bob2o9b2o16bo4bo157b2o7b2o8b 2o23bo3bo12bo8bo12bo3bo$32bobo2b2o109b2o47bo3b2obo6b2obo29bo12bobo4bob
o12bo$30b2obo115b2o45bo4bob2o6bob2o26bo2bo13b2o4b2o13bo2bo$145bo4bo45b
2o7b2o2b2o32bo36bo$145bo3bo55bo3bo31bobobo32bobobo$30bo2bo62b2o5b2obo
6b2obo28b2o7b3o39b2o8bo3bo29bobob2o32b2obobo$32b2o63bo5bob2o6bob2o37bo 42bo7b2o2b2o29bobo38bobo$96bo4b2o4b2o2b2o4b2o77bo4b2obo6b2obo26b2o38b
2o$96b2o3bo5bo3bo5bo17b2o21bo37b2o3bob2o6bob2o$102bo5bo3bo5bo16b2o5b2o
11bob2o$96b2o3b2o4b2o2b2o4b2o22b2obo11b2o5b2o$97bo3bo5bo5b2obo24bo21b
2o$96bo5bo5bo4bob2o$96b2o3b2o4b2o2b2o4b2o26bo$101bo5bo3bo5bo25b3o7b2o 102b2o6b2o$96b2o4bo5bo3bo5bo31bo3bo102b2o6b2o$97bo3b2o4b2o2b2o4b2o30bo 4bo$96bo6b2obo6b2obo32b2o$96b2o5bob2o6bob2o16b2o15b2o$133bobo$135b3o$
134bo3bo$38b2o94b3o2bo2bo$2b2obo6b2obo22b2o99bob2o5b2o$2bob2o6bob2o22b 2o94b3o2bo2bo5b2o$2o4b2o2b2o4b2o20bo13bo2bo78bo3bo$o5bo3bo5bo20bobo12b o82b3o123b2o$bo5bo3bo5bo20bobob3o6bo4bo76bobo125b2o$2o4b2o2b2o4b2o21bo b4o5bobo2b2o76b2o$2b2obo4bo5bo23bo7b2obo$2bob2o5bo5bo$6b2o2b2o4b2o26bo
$6bo3bo5bo17b2o7bo4bo2bo144b2o3b2obo6bob2o44b3o$7bo3bo5bo16bo2b3o4bo5b
2o145bo3bob2o6b2obo44bobo$6b2o2b2o4b2o17b2o159bo8b2o2b2o50bo$2b2obo6b
2obo24bo3b2o150b2o7bo4bo44b2o9bo$2bob2o6bob2o24bo3b2o160bo2bo46b2o7b2o$35b2o159b2o7b2o2b2o54bo$34bo2b3o157bo3b2obo6bob2o$34b2o115b2o43bo4bob
2o6b2obo31b2o20b2o$151b2o43b2o7b2o8b2o29b2o4b3o14bo$139bo65bo10bo35bo
14b3o4b2o$138bobo55b2o8bo8bo36b2o20b2o$139bo11b3o43bo7b2o8b2o$146b2o2b ob2o42bo4b2obo6bob2o41bo$137b5o4b2o2b2o44b2o3bob2o6b2obo40b2o7b2o$136b o4bo8b2o103bo9b2o$135bo2bo121bo$132bo2bob2o121bobo$96b2o4b2o3b2o3b2o
17bobobo5bo118b3o$97bo5bo3b2o3b2o18bo2bo4bobo$96bo5bo32b2o2bo2bo$96b2o 4b2o3b2o3b2o26b2o$46b2o59bobobobo131bo4bo$36b2o7bobo15b2o31b2o4b2o5bob o131b2ob4ob2o6b2o$36b2o7bo17b2o32bo5bo4b2obo53b4o76bo4bo8b2o$45b3o48bo 5bo9b2o20b2o28bo4bo$2b2obo6b2obo80b2o4b2o9bo20b2o27bobo3bo$2bob2o6bob 2o96bo49bobo3bo$2o4b2o8b2o78b2o4b2o8b2o42bo5bo$o5bo9bo28b3o49bo5bo9bo 20b3o17bobo5bo$bo5bo9bo27bo17b2o31bo5bo9bo16b2o2bob2o18b2o5bo2bo$2o4b 2o8b2o27bobo15b2o31b2o4b2o8b2o15b2o2b2o28b2o$2b2obo6b2obo30b2o85b2o$2b ob2o6bob2o134bo$6b2o2b2o139bo$6bo3bo138b3o5b2o99bo7bo$7bo3bo39bobo2bob
3o95bo2bo2b2o93bobo5bobo$6b2o2b2o38bo2bobobobo96bobo4bo2bo91bo7bo$2b2o
bo6b2obo34bo106bo5bobobo$2bob2o6bob2o41bo102b2obo2bo$48bobobobo2bo102b
o2bo$47b3obo2bobo91b4o5bo4bo33b2o3b2o3b2o3b2o40bo17bo$147bo4bo4b5o35bo
3b2o3b2o4bo40bo17bo$146bobo3bo43bo14bo41bo17bo$145bobo3bo7bo36b2o3b2o
3b2o3b2o36b2o23b2o$145bo12bobo40bobobobo40bobo7b3o3b3o7bobo$145bo13bo
36b2o5bobo5b2o35bo8bo3bobo3bo8bo$145bo2bo48bo4b2obo6bo34b2o27b2o$146b
2o48bo9b2o3bo$196b2o9bo3b2o41b2o13b2o$206bo47b2o13b2o$196b2o8b2o3b2o$
197bo9bo4bo34b2o27b2o$196bo9bo4bo36bo8bo3bobo3bo8bo$196b2o8b2o3b2o35bo
bo7b3o3b3o7bobo$249b2o23b2o$253bo17bo$244b2o7bo17bo$244b2o7bo17bo$246b obo$96b2o5b2obo6b2obo125b5obo$97bo5bob2o6bob2o125bo5bo$96bo10b2o2b2o4b
2o36b2o86b2ob2o3b2o5bo7bo$96b2o9bo3bo5bo37b2obo85bobo4bobo3bobo5bobo$
108bo3bo5bo40bo84bobo6bo4bo7bo$96b2o9b2o2b2o4b2o37bo88bo7b2o$97bo5b2ob
o4bo5bo39bob2o$96bo6bob2o5bo5bo40b2o$96b2o3b2o8b2o4b2o$101bo9bo5bo$96b
2o4bo9bo5bo$97bo3b2o8b2o4b2o$96bo6b2obo6b2obo$96b2o5bob2o6bob2o36bo4bo$151b2ob4ob2o$153bo4bo! However, some like the p80 are real improvements. When looking at the 61p78: It is a period 6 oscillator on 34p13, but I have never seen this oscillator before, does this Code: Select all x = 9, y = 9, rule = B3/S23 5bo$4bobo$obo2b2o$2o2bo2b2o$5bobo$6obo$o5bo$3b3o$3bo! 27p6 has a name? Kazyan Posts: 865 Joined: February 6th, 2014, 11:02 pm ### Re: Oscillator Discussion Thread That p6 been described as a "p6 thumb" before, but I don't think it has a name. It's in the gun collection in a few places where p6 sparkers are needed, because it's the best option for squeezing the bounding box. The p72 gun is a good example: Code: Select all x = 40, y = 36, rule = LifeHistory BA.B$5A.ABAB$2A.2ABAB3A12.A10.A$.BA.AB.2B.B10.3A10.3A$3.B.2B.BA.AB7.A 5.A4.A5.A$3.3ABAB2A.2A5.A.6A4.6A.A$4.BABA.5A5.A.A14.A.A$10.B.AB4.2A2.
2B3A4.3A2B2.2A$12.2B6.3A3BA4.A3B3A$4.B2.BA4.2B5.A.3BA6.A3B.A$2.B3A3BA 2.4B5.A2B10.2BA$.B5A.A3B3AB6.A12.A$2.B.A6.6B5.3B8.3B$3.2AB4.B2A2B2A5.
5B4.5B$3.2A4.2B5ABA3.2A5B2.5B2A$9.2B2A4BAB2.A3BA9B2A$8.2BAB5AB3.16B$
9.B2A3BA3B.A4BA7BA4B$10.BA7BA11BABA5B$10.6BA3BA2BA7B3A4B$9.3BA3B2A3B. BA12B$10.B5ABA19B$9.BA4B2A20B$10.AB5A2B.6B6.4B$11.2A2B2AB3.4B8.2B$11.
6B5.4B$7.2A3.B3AB6.4B$6.BABA7B2.2A3.4B$7.B3A.3B2.2B2AB3.4B$8.B2A6.4B
5.4B$3.B3.ABAB6.3B7.4B$2.2AB.A.AB7.B3A3.B3.4B$2.ABA2BA10.2A.A.B2A3.4B$3.4AB12.2A2B2A4.3BA$3.B2AB13.2A3B6.3BA$21.4B7.3AB!
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