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A stable asychronous synchronizer circuit

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

A stable asychronous synchronizer circuit

Postby dbell » October 28th, 2017, 11:48 pm

The object shown here is a stable asychronous synchronizer circuit.

It accepts two gliders as inputs and generates an output glider only when both of the inputs have arrived.

This differs from a normal AND gate in that there are no constraints on the timings of the two input gliders. The input gliders can arrive in either order, or simultaneously, and with any phase difference.

x = 291, y = 349
93bo$94bo$92b3o16$119bo$119b3o$122bo$121bobo$121bobo$122bo5$137boo$
137boo$$100boo3boo$98b3obobboo$97bo4bo14boo$97bobboob4o9bobo$96boobobo
bobbo9bo$97bobobobo11boo7boo$97boboboo21boo$98bo$132boobo$111boo19boob
3o$102boo7bo26bo$102boo5bobo20boob3o$109boo20bobboo$130bobo$112bo16bob
oboobo$112b3o15bobboboo$115bo17bo$78bo35boo16boo$78b3o48bobobboo$81bo
17boo28boobbobbo$80boo18bo33boo$97b3o$97bo$69booboo$69boobo$72bo$72b3o
4boo$70boo3bo3boo$69bobb4o30boo19boo$69boobo15boo16boo19boo$70bobb3o
12bobo48boo3boo$70bo5bo13bo48boobbob3o$71b5o14boo36boo13bo4bo$73bo54bo
10b4oboobbo$129b3o7bobboboboboo$125bo5bo10bobobobo$124bobo16boobobo$
124bobbo19bo$123boo3bo$122bobb3o5boo18bo$111boo10boo9bo7boo9b3o$111boo
13boo6bobo5boo12bo$123boobobo6boo18bobo$123bobbobo26bobo$125booboo26bo
$$133bo$114boo15b3o$115bo14bo$112b3o15boo13boo24boo$112bo32bo25boo$
146b3o$148bo$$151boo$150bobo$120boo28bo$119bobo5boo20boo7boo$119bo7boo
29boo$118boo$166boobo$132bo33boob3o$128boobobo38bo$127bobobobo15bo16b
oob3o$124bobboboboboo14b3o13bobboo$124b4oboobbo18bo11bobo$128bo4bo17b
oo10boboboobo$124boobbob3o31bobboboo$124boo3boo36bo$166boo9boo$163bobo
bboo7boo$163boobbobbo$168boo5$144boo$144boo4$149boo$149boo$145boo40boo
$145boo40boo$193boo3boo$193boobbob3o$122boo27boo44bo4bo$122boo27boo13b
oo25b4oboobbo$165bobo25bobboboboboo$165bo30bobobobo$164boo31boobobo$
201bo$$187boo$188bo7boo$188bobo5boo$107boo80boo$107boo5$87boo11bo$87b
oo10bobo97boo$99bobobboo3bo89bo$98booboobbobbobo89b3o$102bobo3bobo91bo
$98boobobb4obo17boo$98boobobo3bo19bo$102bobo3bo19b3o$103bobo3bo20bo$
104bo3boo3$171boo$95boo75bo90boo$95boo75bobo88bo$80boo91boo86bobo$79bo
bbo178boo$78boboo175bo17boo$78bo177bobo16bo$77boo177bobo14bobo$92boo9b
oo21boo129bo15boo$92bo9bobo21boo$93b3o6bo17boo$72bo22bo5boo17boo127boo
$70b5o14boo159bo$69bo5bo13bo160bobo$69bobb3o12bobo32boo121bo5boo$68boo
bo15boo26boo5boo119b3o$68bobb4o40boo125bo$69boo3bo3boo162boo$71b3o4boo
147boo$71bo156bo45boo$68boobo156boboo42boo$68booboo156bobbo$230boo$
245boo$79boo164boo$80bo$77b3o194bo$77bo195bobo5bo$153boo3boo94bo3boo
14bo4b3o$153boobbob3o91bobo3bo18bo$157bo4bo89bobo3bo19boo$153b4oboobbo
85boobobo3bo$153bobboboboboo84boobobb4obo4boo$156bobobobo89bobo3boo3bo
bo20booboo$110bo46boobobo85booboobobo6bo23boboo$92boo14b5o48bo87bobo3b
ob3obboo23bo$93bo13bo5bo123boo10bobo4bobbo19boo4b3o$28boo11bo51bobo12b
3obbo33boo88boo11bo6boo20boo3bo3boo$28boo10bobo51boo15boboo33bo7boo
126b4obbo$40bobobboo3bo57b4obbo33bobo5boo112boo15boboo$39booboobbobbob
o51boo3bo3boo35boo118bobo12b3obbo$43bobo3bobo12boo37boo4b3o157bo13bo5b
o$39boobobb4obo13bo46bo156boo14b5o$39boobobo3bo13bobo15bo30boboo171bo$
43bobo3bo12boo16b3o27booboo$44bobo3bo32bo$45bo3boo31boo$70boo30boo55b
oo$71bo30bo56bo$71bobo29b3o54b3o$36boo34boo31bo33bo22bo$36boo56boo41b
5o14boo$21boo71boo40bo5bo13bo$20bobbo112bobb3o12bobo$19boboo112boobo
15boo$19bo115bobb4o$18boo116boo3bo3boo$33boo103b3o4boo$33bo57boo45bo
65bo34boo$34b3o24boo28bo43boobo65b3o32bo3boo$36bo11boo11boo29b3o40boob
oo67bo33bobbo$49bo44bo99bo11boo11boo19b4o$46b3o35boo106b3o24boo$46bo
37boobboo56boo43bo48boo$88bobo56bo43boo46bobbo$90bo53b3o29boo62boobob
oo$90boo52bo32bo65boboo$177boboo62bo$178bobbo59bobo$179boo60boo$194boo
34boo$44bo80boo67boo34boo3bo$44b3o78bo108bobo$47bo75bobo109bobo$46boo
75boo13boo97bo$138boo63bo3boo28boo$202bobo3bo$35booboo161bobo3bo12boo$
35boobo63boo40boo51boobobo3bo13bobo$38bo63boo40boo51boobobb4obo13bo$
38b3o4boo93boo59bobo3bobo12boo$36boo3bo3boo93boo55booboobbobbobo$3o32b
obb4o156bobobboo3bo$bbo32boobo15boo130boo10bobo$bo34bobb3o12bobo129boo
11bo$36bo5bo13bo88boo$37b5o14boo87boo$39bo3$65bo$63b3o55boo$62bo57bobb
obboo$62boo48boo7boobbobo$112boo9boo$123bo$120boobobbo$120boboobobo10b
oo$124bobo11bo$121boobbo13b3o$52boo65b3oboo16bo$51bobo5boo57bo$51bo7b
oo58b3oboo$50boo69boboo$$64bo66boo$60boobobo65boo7boo$59bobobobo74bo$
56bobboboboboo71bobo$56b4oboobbo72boo$60bo4bo$56boobbob3o$56boo3boo$
118boo$118boo5$134bo$133bobo$133bobo$134bo$135b3o42bo$137bo42b3o$183bo
$182boo3$171booboo$171boobo$174bo$174b3o4boo$172boo3bo3boo$171bobb4o$
171boobo15boo$172bobb3o12bobo$172bo5bo13bo63boo$173b5o14boo62bo$175bo
78bobo$212bo37boobboo$212b3o35boo$215bo$202bo11boo11boo$200b3o24boo$
199bo$199boo59boo$184boo74bo$185bo72bobo$185boboo69boo$186bobbo$187boo
$202boo$202boo34boo$237bobo$237bo$236boo$211bo3boo36boo$210bobo3bo36bo
$209bobo3bo12boo24b3o$205boobobo3bo13bobo25bo$205boobobb4obo13bo$209bo
bo3bobo12boo$205booboobbobbobo$206bobobboo3bo$194boo10bobo$194boo11bo
13$210bo$210b3o$213bo$212boo7$222boo$215boo5bobo$215boo7bo$224boo$$
211bo$210boboboo$210bobobobo$209boobobobobbo$210bobboob4o$210bo4bo$
211b3obobboo$213boo3boo!

The base reaction used is the creation of two eaters which react with each other when they are both (almost) completely constructed. The timing of the leftmost two gliders is totally independent of the timing of the topmost two gliders. The final result is the same in all cases.

For examples, here is the base reaction in which the gliders are simultaneous.

x = 20, y = 21
17bobo$17boo$8bo9bo$6bobo$7boo3$3bo$4bo$bb3o9$oo$boo$o!

Here the gliders at the top are slightly advanced.

x = 19, y = 20
16bobo$16boo$9bo7bo$7bobo$8boo$$3bo$4bo$bb3o9$oo$boo$o!

Here the gliders at the left are slightly advanced.

x = 19, y = 19
16bobo$16boo$7bo9bo$5bobo$6boo5$3bo$4boo$3boo5$boo$obo$bbo!

This interesting reaction of two eaters has been known for a long time, but using it was not fully practical until stable circuitry was available.

I added an eater as bait to the reaction in order to generate a glider. The bottom half of the circuit regenerates the bait after it had been used.

This circuit could be used in asychronous logic, where parts of the circuit need to wait until previous parts are complete. For example, the numbers contained in two sliding block memories could be read simultaneously, with further action taken only after both readouts are complete.

This is my first example of making a stable logic circuit, and I already know it can be improved (especially in the lower half). If anyone wants to do that, please do so! I would like to see the smallest such circuit.

Thanks to Dave Greene for his help.

BCNU,
-dbell
dbell
 
Posts: 43
Joined: June 27th, 2013, 12:47 am

Re: A stable asychronous synchronizer circuit

Postby chris_c » October 29th, 2017, 11:19 am

dbell wrote:This is my first example of making a stable logic circuit, and I already know it can be improved (especially in the lower half). If anyone wants to do that, please do so! I would like to see the smallest such circuit.


Using a block as bait makes things smaller. I tried to find a way of preventing the extra boat from forming in the first place but to no avail.


x = 273, y = 260, rule = B3/S23
93bo$94bo$92b3o16$119bo$119b3o$122bo$121bobo$121bobo$122bo5$137b2o$
137b2o2$100b2o3b2o$98b3obo2b2o$97bo4bo14b2o$97bo2b2ob4o9bobo$96b2obobo
bo2bo9bo$97bobobobo11b2o7b2o$97bobob2o21b2o$98bo$132b2obo$111b2o19b2ob
3o$102b2o7bo26bo$102b2o5bobo20b2ob3o$109b2o20bo2b2o$130bobo$112bo16bob
ob2obo$112b3o15bo2bob2o$115bo17bo$78bo35b2o16b2o$78b3o48bobo2b2o$81bo
17b2o28b2o2bo2bo$80b2o18bo33b2o$97b3o$97bo$69b2ob2o$69b2obo$72bo$72b3o
4b2o$70b2o3bo3b2o$69bo2b4o30b2o19b2o$69b2obo15b2o16b2o19b2o$70bo2b3o
12bobo48b2o3b2o$70bo5bo13bo48b2o2bob3o$71b5o14b2o36b2o13bo4bo$73bo54bo
10b4ob2o2bo$129b3o7bo2bobobob2o$125bo5bo10bobobobo$124bobo16b2obobo$
124bo2bo19bo$123b2o3bo$122bo2b3o5b2o18bo$111b2o10b2o9bo7b2o9b3o$111b2o
13b2o6bobo5b2o12bo$123b2obobo6b2o18bobo$123bo2bobo26bobo$125bobo28bo$
126bo$133bo$114b2o15b3o$115bo14bo$112b3o15b2o13b2o24b2o$112bo32bo25b2o
$146b3o$148bo$209b2o3b2o$151b2o56b2o2bob3o$150bobo60bo4bo$120b2o28bo
58b4ob2o2bo$119bobo5b2o20b2o7b2o49bo2bobobob2o$119bo7b2o29b2o52bobobob
o$118b2o93b2obobo$166b2obo47bo$132bo33b2ob3o$128b2obobo38bo30b2o$127bo
bobobo15bo16b2ob3o32bo7b2o$124bo2bobobob2o14b3o13bo2b2o34bobo5b2o$124b
4ob2o2bo18bo11bobo38b2o$128bo4bo17b2o10bobob2obo$124b2o2bob3o31bo2bob
2o$124b2o3b2o36bo$166b2o9b2o$163bobo2b2o7b2o$163b2o2bo2bo$168b2o45b2o$
215bo$216b3o$218bo2$144b2o$144b2o4$149b2o$149b2o$145b2o40b2o$145b2o40b
2o3$122b2o27b2o$122b2o27b2o13b2o$165bobo$165bo$164b2o4$263bo$261b3o$
107b2o151bo$107b2o151b2o3$268b2ob2o$206b2o61bob2o$87b2o11bo105b2o61bo$
87b2o10bobo159b2o4b3o$99bobo2b2o3bo151b2o3bo3b2o$98b2ob2o2bo2bobo81b2o
72b4o2bo$102bobo3bobo81b2o42bo15b2o15bob2o$98b2obo2b4obo17b2o105b3o10b
2o2bobo12b3o2bo$98b2obobo3bo19bo105bo14bo2bo13bo5bo$102bobo3bo19b3o89b
2o11b2o11bo2b3o14b5o$103bobo3bo20bo89b2o24b3o19bo$104bo3b2o63b2o74bo$
173b2o73b2o$263b2o$263bo$95b2o163b2obo$95b2o162bo2bo$80b2o129b2ob2o44b
2o$79bo2bo129bobo30b2o$78bob2o130bobo30b2o$78bo130b2obob2o$77b2o129bob
obobo2b2o$92b2o9b2o21b2o80b2o2bo2bob2o$92bo9bobo21b2o84b2obo16b2o3bo$
93b3o6bo17b2o91bobob2o13bo3bobo$72bo22bo5b2o17b2o65bo25bobo2bo4b2o8bo
3bobo$70b5o14b2o95bobo23b2ob2o6b2o9bo3bobob2o$69bo5bo13bo96b2o44bob4o
2bob2o$69bo2b3o12bobo32b2o94bo12bobo3bobo$68b2obo15b2o26b2o5b2o92b3o
12bobo2bo2b2ob2o$68bo2b4o40b2o98bo16bo3b2o2bobo$69b2o3bo3b2o135b2o23bo
bo10b2o$71b3o4b2o161bo11b2o$71bo128b2o$68b2obo122b2o4bo22b2ob2o$68b2ob
2o121b2o5b3o20bob2o$203bo20bo$216b2o4b3o$79b2o135b2o3bo3b2o$80bo140b4o
2bo$77b3o127b2o15bob2o$77bo128bobo12b3o2bo$206bo13bo5bo$205b2o14b5o$
223bo4$110bo$92b2o14b5o$93bo13bo5bo80bo$28b2o11bo51bobo12b3o2bo80b3o$
28b2o10bobo51b2o15bob2o82bo$40bobo2b2o3bo57b4o2bo81b2o$39b2ob2o2bo2bob
o51b2o3bo3b2o$43bobo3bobo12b2o37b2o4b3o$39b2obo2b4obo13bo46bo$39b2obob
o3bo13bobo15bo30bob2o$43bobo3bo12b2o16b3o27b2ob2o$44bobo3bo32bo$45bo3b
2o31b2o122b2o$70b2o30b2o95b2o5bobo$71bo30bo96b2o7bo$71bobo29b3o102b2o$
36b2o34b2o31bo$36b2o56b2o99bo$21b2o71b2o98bobob2o$20bo2bo170bobobobo$
19bob2o170b2obobobo2bo$19bo174bo2b2ob4o$18b2o174bo4bo$33b2o160b3obo2b
2o$33bo57b2o104b2o3b2o$34b3o24b2o28bo$36bo11b2o11b2o29b3o$49bo44bo$46b
3o35b2o$46bo37b2o2b2o$88bobo$90bo$90b2o5$44bo$44b3o$47bo$46b2o3$35b2ob
2o$35b2obo$38bo$38b3o4b2o$36b2o3bo3b2o$3o32bo2b4o$2bo32b2obo15b2o$bo
34bo2b3o12bobo$36bo5bo13bo$37b5o14b2o$39bo3$65bo$63b3o$62bo$62b2o7$52b
2o$51bobo5b2o$51bo7b2o$50b2o2$64bo$60b2obobo$59bobobobo$56bo2bobobob2o
$56b4ob2o2bo$60bo4bo$56b2o2bob3o$56b2o3b2o!


EDIT: Slightly smaller and faster. I didn't realise that the block laying conduit I used had two possible glider outputs.

x = 273, y = 260, rule = B3/S23
93bo$94bo$92b3o16$119bo$119b3o$122bo$121bobo$121bobo$122bo5$137b2o$
137b2o2$100b2o3b2o$98b3obo2b2o$97bo4bo14b2o$97bo2b2ob4o9bobo$96b2obobo
bo2bo9bo$97bobobobo11b2o7b2o$97bobob2o21b2o$98bo$132b2obo$111b2o19b2ob
3o$102b2o7bo26bo$102b2o5bobo20b2ob3o$109b2o20bo2b2o$130bobo$112bo16bob
ob2obo$112b3o15bo2bob2o$115bo17bo$78bo35b2o16b2o$78b3o48bobo2b2o$81bo
17b2o28b2o2bo2bo$80b2o18bo33b2o$97b3o$97bo$69b2ob2o$69b2obo$72bo$72b3o
4b2o$70b2o3bo3b2o$69bo2b4o30b2o19b2o$69b2obo15b2o16b2o19b2o$70bo2b3o
12bobo48b2o3b2o$70bo5bo13bo48b2o2bob3o$71b5o14b2o36b2o13bo4bo$73bo54bo
10b4ob2o2bo$129b3o7bo2bobobob2o$125bo5bo10bobobobo$124bobo16b2obobo$
124bo2bo19bo$123b2o3bo$122bo2b3o5b2o18bo$111b2o10b2o9bo7b2o9b3o$111b2o
13b2o6bobo5b2o12bo$123b2obobo6b2o18bobo$123bo2bobo26bobo$125bobo28bo$
126bo$133bo$114b2o15b3o$115bo14bo$112b3o15b2o13b2o24b2o$112bo32bo25b2o
$146b3o$148bo$209b2o3b2o$151b2o56b2o2bob3o$150bobo60bo4bo$120b2o28bo
58b4ob2o2bo$119bobo5b2o20b2o7b2o49bo2bobobob2o$119bo7b2o29b2o52bobobob
o$118b2o93b2obobo$166b2obo47bo$132bo33b2ob3o$128b2obobo38bo30b2o$127bo
bobobo15bo16b2ob3o32bo7b2o$124bo2bobobob2o14b3o13bo2b2o34bobo5b2o$124b
4ob2o2bo18bo11bobo38b2o$128bo4bo17b2o10bobob2obo$124b2o2bob3o31bo2bob
2o$124b2o3b2o36bo$166b2o9b2o$163bobo2b2o7b2o$163b2o2bo2bo$168b2o45b2o$
215bo$216b3o$218bo2$144b2o$144b2o4$149b2o$149b2o$145b2o40b2o$145b2o40b
2o3$122b2o27b2o$122b2o27b2o13b2o$165bobo$165bo$164b2o4$263bo$261b3o$
107b2o151bo$107b2o151b2o3$268b2ob2o$206b2o61bob2o$87b2o11bo105b2o61bo$
87b2o10bobo159b2o4b3o$99bobo2b2o3bo151b2o3bo3b2o$98b2ob2o2bo2bobo81b2o
72b4o2bo$102bobo3bobo81b2o42bo15b2o15bob2o$98b2obo2b4obo17b2o105b3o10b
2o2bobo12b3o2bo$98b2obobo3bo19bo105bo14bo2bo13bo5bo$102bobo3bo19b3o89b
2o11b2o11bo2b3o14b5o$103bobo3bo20bo89b2o24b3o19bo$104bo3b2o63b2o74bo$
173b2o73b2o$263b2o$263bo$95b2o163b2obo$95b2o162bo2bo$80b2o178b2o$79bo
2bo162b2o$78bob2o127b2o34b2o$78bo130bobo$77b2o132bo$92b2o9b2o21b2o83b
2o$92bo9bobo21b2o104b2o3bo$93b3o6bo17b2o110bo3bobo$72bo22bo5b2o17b2o
65bo31b2o12bo3bobo$70b5o14b2o95bobo29bobo13bo3bobob2o$69bo5bo13bo96b2o
30bo13bob4o2bob2o$69bo2b3o12bobo32b2o93b2o12bobo3bobo$68b2obo15b2o26b
2o5b2o79b2o26bobo2bo2b2ob2o$68bo2b4o40b2o86bo9bo18bo3b2o2bobo$69b2o3bo
3b2o124b3o4b3o26bobo10b2o$71b3o4b2o126bo3bo30bo11b2o$71bo138b2o$68b2ob
o122b2o$68b2ob2o121b2o$218b2ob2o$219bob2o$79b2o138bo$80bo130b2o4b3o$
77b3o131b2o3bo3b2o$77bo138b4o2bo$202b2o15bob2o$201bobo12b3o2bo$201bo
13bo5bo$200b2o14b5o$195bo22bo$195b3o$110bo87bo$92b2o14b5o84b2o$93bo13b
o5bo$28b2o11bo51bobo12b3o2bo$28b2o10bobo51b2o15bob2o$40bobo2b2o3bo57b
4o2bo$39b2ob2o2bo2bobo51b2o3bo3b2o$43bobo3bobo12b2o37b2o4b3o$39b2obo2b
4obo13bo46bo95b2o$39b2obobo3bo13bobo15bo30bob2o85b2o5bobo$43bobo3bo12b
2o16b3o27b2ob2o85b2o7bo$44bobo3bo32bo125b2o$45bo3b2o31b2o$70b2o30b2o
92bo$71bo30bo92bobob2o$71bobo29b3o89bobobobo$36b2o34b2o31bo88b2obobobo
2bo$36b2o56b2o99bo2b2ob4o$21b2o71b2o99bo4bo$20bo2bo172b3obo2b2o$19bob
2o175b2o3b2o$19bo$18b2o$33b2o$33bo57b2o$34b3o24b2o28bo$36bo11b2o11b2o
29b3o$49bo44bo$46b3o35b2o$46bo37b2o2b2o$88bobo$90bo$90b2o5$44bo$44b3o$
47bo$46b2o3$35b2ob2o$35b2obo$38bo$38b3o4b2o$36b2o3bo3b2o$3o32bo2b4o$2b
o32b2obo15b2o$bo34bo2b3o12bobo$36bo5bo13bo$37b5o14b2o$39bo3$65bo$63b3o
$62bo$62b2o7$52b2o$51bobo5b2o$51bo7b2o$50b2o2$64bo$60b2obobo$59bobobob
o$56bo2bobobob2o$56b4ob2o2bo$60bo4bo$56b2o2bob3o$56b2o3b2o!
chris_c
 
Posts: 820
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Re: A stable asychronous synchronizer circuit

Postby dvgrn » October 29th, 2017, 1:22 pm

chris_c wrote:EDIT: Slightly smaller and faster. I didn't realise that the block laying conduit I used had two possible glider outputs...

Nice improvement! I needed some welding practice, and found a good way to tighten up part of the now-obsolete reconstruction circuit, but now it isn't needed:

x = 95, y = 51, rule = LifeHistory
55.7B$56.7B$57.7B$58.7B$18.2A3.2A34.7B$18.2A2.A.3A33.7B$22.A4.A33.7B$
18.4A.2A2.A34.7B$18.A2.A.A.A.2A34.7B$20.BABABA.A36.7B$21.B2ABA.A37.7B
$22.2B.BA39.7B$21.3B43.7B$12.2A6.5B43.7B$13.A6.B2A3B43.7B$13.A.AB3.B
2A4B43.7B$14.2AB.10B43.7B$16.13B23.A19.7B8.2A$16.14B22.3A12.B.3B.7B7.
A3.2A$16.15B24.A10.18B5.A2.A$18.8B2.4B10.A11.2A3.B5.2B2A16B3.4A$18.6B
5.4B7.3A11.8B3.2B2A19B$17.9B4.4B5.A16.8B.23B2A$16.4B4.2A5.4B4.2A15.
31BAB.A$15.4B5.A7.9B14.15B.2B2.12B.2A.A.2A$14.4B7.3A5.6B14.17B8.12B.A
.2A$4.A8.4B5.3A3.A5.6B3.B2.2B2.19B11.9B2.A$2.5A5.4B5.A3.2A2.A4.35B12.
6B2.A.A$.A5.A4.4B5.A2.A2.2AB3.27B.7B11.B3.4B2.2A$.A2.3AB2.7B.BA.A.A.A
2.14B2A25B9.2AB.4B$2A.A.2B3.7B.B2A.A.A4.13B2A26B8.2A3BA$A2.4A12B3.A7.
29B2.8B10.B.BA.A$.2A2.BA3B2A7B3.2A6.17B.B.2B11.6B13.BA.A$3.3AB.2B2A7B
12.15B4.3B10.5B17.A$3.A.B3.10B12.15B5.A2B.2A7.4B17.2A$2A.A8.8B12.13B
5.A.A2B.A7.4B$2A.2A7.9B13.13B2.A.AB2.A9.B.B2A$13.3B2.4B11.8B4.2A.A.A
3.A12.BA.A$11.5B3.4B10.6B6.2ABA2.4A.A13.A$11.2A7.4B9.5B8.B2.A.A3.A.A
12.2A$12.A8.4B8.B.B9.2A.2A2.A2.A.A$9.3A10.4B8.3B9.A.A2.2A3.A$9.A13.4B
6.B2AB9.A.A$24.4B6.2A11.A$25.4B$26.4B$27.4B$28.4B$29.B3A$30.A$31.A!

EDIT: Oops, a closer weld is better. Probably still well known by competent welders:

x = 94, y = 50, rule = LifeHistory
54.7B$55.7B$56.7B$9.2B46.7B$9.B7.2A3.2A34.7B$17.2A2.A.3A33.7B$21.A4.A
33.7B$17.4A.2A2.A34.7B$17.A2.A.A.A.2A34.7B$19.BABABA.A36.7B$19.2B2ABA
.A37.7B$19.4B.BA39.7B$19.4B43.7B$11.2A6.5B43.7B$12.A6.B2A3B43.7B$12.A
.AB3.B2A4B43.7B$13.2AB.10B43.7B$15.13B23.A19.7B8.2A$15.14B22.3A12.B.
3B.7B7.A3.2A$15.15B24.A10.18B5.A2.A$17.8B2.4B10.A11.2A3.B5.2B2A16B3.
4A$17.6B5.4B7.3A11.8B3.2B2A19B$16.9B4.4B5.A16.8B.23B2A$15.4B4.2A5.4B
4.2A15.31BAB.A$14.4B5.A7.9B14.15B.2B2.12B.2A.A.2A$4.A8.4B7.3A5.6B14.
17B8.12B.A.2A$2.5A5.4B5.3A3.A5.6B3.B2.2B2.19B11.9B2.A$.A5.A4.4B5.A2.
2A2.A4.35B12.6B2.A.A$.A2.3AB2.7B.BA.A.A2.2AB3.27B.7B11.B3.4B2.2A$2A.A
.2B3.7B.B2A2.2A2.14B2A25B9.2AB.4B$A2.4A12B4.A4.13B2A26B8.2A3BA$.2A2.B
A3B2A7B6.A3.29B2.8B10.B.BA.A$3.3AB.2B2A7B5.2A3.17B.B.2B11.6B13.BA.A$
3.A.B3.10B11.15B4.3B10.5B17.A$2A.A8.8B10.15B5.A2B.2A7.4B17.2A$2A.2A7.
8B11.13B5.A.A2B.A7.4B$13.3B2.4B11.13B2.A.AB2.A9.B.B2A$11.5B3.4B9.8B4.
2A.A.A3.A12.BA.A$11.2A7.4B8.6B6.2ABA2.4A.A13.A$12.A8.4B7.5B8.B2.A.A3.
A.A12.2A$9.3A10.4B6.B.B9.2A.2A2.A2.A.A$9.A13.4B6.3B9.A.A2.2A3.A$24.4B
4.B2AB9.A.A$25.4B4.2A11.A$26.4B$27.4B$28.3BA$29.B2AB$30.A.A$31.B!

The upper eater-maker circuits can also be tightened up, but those are just moving things around and adding a standard weld or two:

x = 253, y = 238, rule = B3/S23
82bo$83b2o$82b2o7$100bo$100b3o$103bo$102bobo$102bobo$103bo5$118b2o$
118b2o2$81b2o3b2o$79b3obo2b2o$78bo4bo14b2o$78bo2b2ob4o9bobo$77b2obobob
o2bo9bo$78bobobobo11b2o7b2o$78bobob2o21b2o$79bo$113b2obo$92b2o19b2ob3o
$83b2o7bo26bo$83b2o5bobo20b2ob3o$90b2o20bo2b2o$111bobo$93bo16bobob2obo
$93b3o15bo2bob2o$96bo17bo$59bo35b2o16b2o$59b3o48bobo2b2o$62bo17b2o28b
2o2bo2bo$61b2o18bo33b2o$78b3o$78bo$50b2ob2o$50b2obo$53bo$53b3o4b2o$51b
2o3bo3b2o$50bo2b4o30b2o19b2o$50b2obo15b2o16b2o19b2o$51bo2b3o12bobo48b
2o3b2o$51bo5bo13bo48b2o2bob3o$52b5o14b2o36b2o13bo4bo$54bo54bo10b4ob2o
2bo$110b3o7bo2bobobob2o$106bo5bo10bobobobo$105bobo16b2obobo$105bo2bo
19bo$104b2o3bo23bo$103bo2b3o5b2o17b3o$92b2o10b2o9bo7b2o11bo$92b2o13b2o
6bobo5b2o10bobo$104b2obobo6b2o17bobo$104bo2bobo26bo$106b2ob2o2$114bo$
95b2o15b3o$96bo14bo39b2o$93b3o15b2o13b2o23b2o$93bo32bo$127b3o$129bo59b
2o3b2o$129bob2o56b2o2bob3o$127b2obobo60bo4bo$127bo2bo58b4ob2o2bo$101b
2o26b2o7b2o49bo2bobobob2o$100bobo5b2o28b2o52bobobobo$100bo7b2o83b2obob
o$99b2o45b2obo47bo$146b2ob3o$113bo38bo30b2o$109b2obobo14bo16b2ob3o32bo
7b2o$108bobobobo14b3o13bo2b2o34bobo5b2o$105bo2bobobob2o16bo11bobo38b2o
$105b4ob2o2bo16b2o10bobob2obo$109bo4bo29bo2bob2o$105b2o2bob3o33bo$105b
2o3b2o34b2o9b2o$143bobo2b2o7b2o$143b2o2bo2bo$148b2o45b2o$195bo$196b3o$
198bo2$124b2o$124b2o4$129b2o$129b2o$125b2o40b2o$125b2o40b2o3$131b2o$
131b2o13b2o$145bobo$145bo$144b2o4$243bo$111b2o128b3o$111b2o127bo$240b
2o3$248b2ob2o$186b2o61bob2o$186b2o61bo$241b2o4b3o$241b2o3bo3b2o$96b2o
74b2o72b4o2bo$96b2o74b2o42bo15b2o15bob2o$214b3o10b2o2bobo12b3o2bo$213b
o14bo2bo13bo5bo$200b2o11b2o11bo2b3o14b5o$200b2o24b3o19bo$76b2o11bo63b
2o74bo$76b2o10bobo62b2o73b2o$88bobo2b2o3bo144b2o$87b2ob2o2bo2bobo143bo
$91bobo3bobo140b2obo$87b2obo2b4obo17b2o121bo2bo$87b2obobo3bo19bo123b2o
$91bobo3bo19b3o105b2o$92bobo3bo20bo69b2o34b2o$93bo3b2o90bobo$191bo$
191b2o$212b2o3bo$84b2o126bo3bobo$84b2o81bo31b2o12bo3bobo$69b2o95bobo
29bobo13bo3bobob2o$68bo2bo94b2o30bo13bob4o2bob2o$67bob2o126b2o12bobo3b
obo$67bo115b2o26bobo2bo2b2ob2o$66b2o115bo9bo18bo3b2o2bobo$81b2o9b2o21b
2o67b3o4b3o26bobo10b2o$81bo9bobo21b2o69bo3bo30bo11b2o$62bo19b3o6bo17b
2o79b2o$60b5o14b3o2bo5b2o17b2o63b2o$59bo5bo13bo2bo91b2o$59bo2b3o12bobo
2b2o114b2ob2o$58b2obo15b2o32b2o86bob2o$58bo2b4o39b2o5b2o86bo$59b2o3bo
3b2o34b2o85b2o4b3o$61b3o4b2o121b2o3bo3b2o$61bo134b4o2bo$58b2obo120b2o
15bob2o$58b2ob2o118bobo12b3o2bo$181bo13bo5bo$180b2o14b5o$69b2o104bo22b
o$70bo20bo83b3o$11b2o11bo42b3o3b2o14b5o84bo$11b2o10bobo41bo6bo13bo5bo
82b2o$23bobo2b2o3bo40bobo12b3o2bo$22b2ob2o2bo2bobo40b2o15bob2o$26bobo
3bobo12b2o40b4o2bo$22b2obo2b4obo13bo36b2o3bo3b2o$22b2obobo3bo13bobo15b
o20b2o4b3o$26bobo3bo12b2o16b3o26bo$27bobo3bo32bo25bob2o91b2o$28bo3b2o
31b2o24b2ob2o84b2o5bobo$53b2o125b2o7bo$54bo134b2o$54bobo26b2o$19b2o34b
2o26bo92bo$19b2o56b2o5b3o88bobob2o$4b2o71b2o7bo88bobobobo$3bo2bo167b2o
bobobo2bo$2bob2o169bo2b2ob4o$2bo172bo4bo$b2o173b3obo2b2o$16b2o160b2o3b
2o$16bo57b2o$17b3o24b2o28bo$19bo11b2o11b2o29b3o$32bo44bo$29b3o4bo30b2o
$29bo6b3o28b2o2b2o$39bo31bobo$3o35b2o33bo$2bo70b2o$bo$27b2ob2o$27b2obo
$30bo$30b3o4b2o$28b2o3bo3b2o$27bo2b4o$27b2obo15b2o$28bo2b3o12bobo$28bo
5bo13bo$29b5o14b2o$31bo3$57bo$55b3o$54bo$54b2o7$44b2o$43bobo5b2o$43bo
7b2o$42b2o2$56bo$52b2obobo$51bobobobo$48bo2bobobob2o$48b4ob2o2bo$52bo
4bo$48b2o2bob3o$48b2o3b2o!

The R64+NW31 edge shooters are probably not quite the smallest option. With edge shooters on both splitter outputs, there might be a smaller diamond-shaped eater factory such that two mirror-image copies could be used to build both eaters. As it is, the two eater factories look very similar to each outer, but you'll run into entertaining problems if you try to replace one with the other.
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dvgrn
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Re: A stable asychronous synchronizer circuit

Postby dbell » October 31st, 2017, 6:54 am

Here is a new version of my synchonizer circuit. The top two halfs are symmetrical. The bottom part uses two blocks to perturb the eater reaction and a beehive as bait.

As shown, the input gliders travel symmetrically through their two conduits for a pretty view.

x = 264, y = 216
146bo$145bobo$145bobo$143b3oboo$142bo$99boo11bo30b3oboo$99boo10bobo31b
oboo$111bobobboo3bo$110booboobbobbobo$114bobo3bobo12boo$110boobobb4obo
13bo$110boobobo3bo13bobo25boo$114bobo3bo12boo26boboboo$115bobo3bo41bob
o$116bo3boo40boobo$165boboo$162b4obbo$162bo3boo$107boo54b3o$107boo56bo
$92boo71bobo$91bobbo71boo$90boboo$90bo$89boo$104boo$104bo$105b3o24boo$
107bo11boo11boo$120bo$117b3o35boo$117bo37boobboo$159bobo$145boo3boo9bo
$145boobbob3o7boo$119bo29bo4bo$119b3o23b4oboobbo$122bo22bobboboboboo$
121boo25bobobobo$82b3o64boobobo$84bo68bo$83bo26booboo$110boobo25boo$
113bo26bo7boo$113b3o4boo18bobo5boo$111boo3bo3boo19boo25bo$110bobb4o49b
3o$110boobo15boo34bo32bo$111bobb3o12bobo33boo29b3o$111bo5bo13bo63bo$
112b5o14boo62boo$114bo22bo35booboo$135b3o13boo21boboo$134bo16bo22bo28b
ooboo$134boo16b3o11boo4b3o29boboo$154bo11boo3bo3boo27bo$171b4obbo18boo
4b3o$157boo15boboo18boo3bo3boo$156bobo12b3obbo24b4obbo$156bo13bo5bo10b
oo15boboo$155boo14b5o10bobo12b3obbo$124boo47bo5bo6bo13bo5bo$123bobo5b
oo46b3o3boo14b5o$123bo7boo49bo20bo$122boo57boo$$136bo$132boobobo32boob
oo$131bobobobo32boobo$128bobboboboboo6bo27bo$128b4oboobbo5b3o27b3o4boo
$132bo4bo4bo28boo3bo3boo$128boobbob3o4bobo26bobb4o$128boo3boo6bobo26b
oobo15boo$142bo28bobb3o12bobo$171bo5bo13bo$172b5o14boo$174bo$195bo$
126boo67b3o$126boo70bo$197bobo$197bobo$39bo158bo$39bobo104boo$39boo
105bobo$148bo$139boo7boo$139boo72boo$213boo$24bo104boboo$22b3o102b3ob
oo$21bo104bo$20bobo104b3oboo60boo$20bobo106boobbo58bobo$21bo110bobo57b
o$128boboobobo16bo38boo7boo$128boobobbo15b3o47boo$131bo17bo$131boo16b
oo57boobo$5boo122boobbobo72boob3o$5boo121bobbobboo78bo$129boo77boob3o$
207bobboo$206bobo$25boo104boo55bo16boboboobo$25bobo104bo55b3o15bobbob
oo$27bo104bobo56bo17bo$18boo7boo104boo55boo16boo7boo3boo$18boo185bobo
bboo5boobbob3o$205boobbobbo8bo4bo$8boboo29boo3boo102boo58boo5b4oboobbo
$6b3oboo29boobbob3o83boo15boo65bobboboboboo$5bo39bo4bo81bobo85bobobobo
$6b3oboo29b4oboobbo81bo75boo11boobobo$8boobbo28bobboboboboo79boo75bo
16bo$11bobo30bobobobo155bobo$7boboobobo30boobobo155boo3boo$7boobobbo
16boo17bo162bo7boo$10bo19bo119boo60bobo5boo$10boo16bobo4boo114bo37boo
22boo$8boobbobo13boo6bo7boo105bobo35boo15boo$7bobbobboo21bobo5boo106b
oo52bobo$8boo27boo25bo143bo$62b3o143boo$61bo75boo$61boo74boo$79boo11bo
130boo$79boo10bobo95boo32bo$69booboo17bobobboo3bo87bo34b3o$47boo21bob
oo16booboobbobbobo84bobo36bo$47bo22bo23bobo3bobo84boo$48b3o11boo4b3o
19boobobb4obo3bo9bo39bo$27boo21bo11boo3bo3boo17boobobo3bo5b3o5b3o37b3o
$11boo14boo38b4obbo20bobo3bo7bo3bo39bo49boo50bo$12bo40boo15boboo21bobo
3bo5boo3boo39bo48boo48b3o$9b3o40bobo12b3obbo23bo3boo50boo3boo92bo$9bo
42bo13bo5bo81boobbo92boo$51boo14b5o53boo25boobboo$69bo55boo26bobo$42bo
44boo63bobbo103booboo$42b3o42boo64boo30bo74boboo$45bo26boo111b3o72bo$
4bo39boo25bobbo113bo63boo4b3o$3bobo64boboo113bo64boo3bo3boo$3bobo64bo
111boo3boo68b4obbo$b3oboo26booboo31boo111bobboo56boo15boboo$o32boobo
47boo97boobboo53bobo12b3obbo$b3oboo29bo47bo100bobo54bo13bo5bo$3boboo
29b3o4boo40b3o97bobbo52boo14b5o$34boo3bo3boo42bo10boo86boo71bo$33bobb
4o57bobo11boo6bo$33boobo15boo43bo13boo6b3o$34bobb3o12bobo41boo24bo11bo
bobobo41boo$34bo5bo13bo66boo10bobooboobo40boo$35b5o14boo77bo3bo3bo$30b
oo5bo22bo71boo3boboo$30boo26b3o77bo$57bo78bobo$57boo77boo$31boo$31bo
157boo$11boo19b3o154boo$11bobboboo16bo$12b3obobo$16bobo$12b5ob3o26boo$
12bo4bo3bo24bobo5boo$15bobobboo24bo7boo$15boo28boo$$59bo7boo3boo$55boo
bobo6boobbob3o$54bobobobo10bo4bo$51bobboboboboo5b4oboobbo$51b4oboobbo
6bobboboboboo$55bo4bo9bobobobo$51boobbob3o11boobobo$51boo3boo17bo$$61b
oo$62bo7boo102boo$62bobo5boo101bobbo$63boo80boo27boo14boo$145bobo42bo$
147bo40bobo$62bo78boo3boboo38boo10bo$60b3o79bo3bo3bo49b3o$59bo70boo10b
obooboobo52bo$59boo44boo24bo11bobobobo52boo$73boo31bo13boo6b3o86boo$
73bo32bobo11boo6bo41boo45bo$74b3o19bo10boo61boo42boobo$76bo17b3o116bo
bbo$93bo120boo$93boo104boo$49boo27boo119boo$48bobo5boo21bo$48bo7boo21b
oboo$47boo31bobbo$81boo103boo3bo$61bo34boo76boo10bo3bobo$57boobobo33b
oo77bo11bo3bobo$56bobobobo71boo36b3o13bo3boboboo$53bobboboboboo70boo
36bo13bob4obboboo$53b4oboobbo122bobo3bobo$57bo4bo42bo3boo74bobobbobboo
boo$53boobbob3o42bobo3bo5boo3boo63bo3boobbobo$53boo3boo43bobo3bo7bo3bo
72bobo10boo$99boobobo3bo5b3o5b3o70bo11boo$99boobobb4obo3bo9bo$103bobo
3bobo$99booboobbobbobo$100bobobboo3bo$88boo10bobo$88boo11bo!

BCNU,
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Re: A stable asynchronous synchronizer circuit

Postby dvgrn » October 31st, 2017, 9:19 am

dbell wrote:Here is a new version of my synchonizer circuit.

Nice -- the eater factories have turned into double edge-shooters. Seems like that might come in handy elsewhere, as a way to block a signal channel.

It's good that one edge shooter works in all four locations. If a smaller one can be found with the same 1hd clearance (needed in the NE to let the output glider out) then it could just be swapped in everywhere and the timing would still work.

There might be other ways to reduce the size a little more. I wonder if there are any other H-to-2Gs with the same rating as this one, that don't need such a long Snark chain to delay one of the gliders. A really lucky H-to-2G could just be connected straight to the edge shooters, or maybe with just one Snark pair on one side or the other. We don't really know, since the majority of H-to-2Gs haven't been added to the toolkit yet.

Removing a Snark pair speeds up the signal by 8 ticks. Here's a tightened-up version of the synchronizer that illustrates that. It should probably be made symmetrical again, but I'll leave it this way for now:

x = 250, y = 217, rule = LifeHistory
146.A$145.A.A$145.A.A$143.3A.2A$142.A4.B$99.2A11.A30.3AB2AB4.3B$98.B
2AB9.A.A31.A.2AB.2B.4B$99.3B9.A.A2.2A3.A27.9B$98.B.B9.2A.2A2.A2.A.A
26.9B$98.5B8.B2.A.A3.A.A12.2A12.10B$98.6B6.2ABA2.4A.A13.A13.10B$98.8B
4.2A.A.A3.A12.BA.A13.10B2.2A$99.13B2.A.AB2.A9.B.B2A12.12B2.A.A.2A$97.
13B5.A.A2B.A7.4B14.12B4.A.A$96.15B5.A2B.2A7.4B14.13B2.2A.A$96.15B4.3B
10.5B15.11B.4B.A.2A$95.17B.B.2B11.6B15.13B4A2.A$95.29B2.8B14.12B.BAB
2.2A$94.13B2A26B11.16B.3A$93.14B2A25B11.18B2.A$92.2AB3.27B.7B12.17B3.
A.A$91.A2.A4.35B12.16B4.2A$90.A.2A5.6B3.B2.2B2.19B11.16B$90.A7.6B14.
17B8.18B$89.2A6.9B14.15B.2B2.22B13.A$96.4B4.2A15.42B10.3A$95.4B5.A16.
8B.20B.7B2.4B8.A$94.4B7.3A11.8B3.2B2A16B2.6B3.4B7.2A$93.4B10.A11.2A3.
B5.2B2A16B3.6B3.4B3.5B$92.4B24.A10.18B6.4B4.4B2.3B$91.4B22.3A12.B.3B.
4B12.B2A2B5.9B7.2A.2A$90.4B23.A19.4B14.2A.B2A4.8B8.A.2A$89.4B43.4B18.
BA.A4.14B.A$88.4B43.4B22.A4.7B2A4B3A$87.4B43.4B23.2A3.7B2A3BAB2.2A$
86.4B43.4B29.12B4A2.A$85.4B43.4B28.2AB.8B2.2B.A.2A$84.4B43.4B28.A.AB.
7B2.B3A2.A$83.4B43.4B22.A6.A5.5B3.A5.A$82.3AB43.4B23.3A3.2A5.4B5.5A$
82.2BA43.4B27.A8.4B8.A$83.A43.4B27.2A7.4B$126.4B28.5B3.4B$125.4B31.3B
2.4B$124.4B4.2A3.2A8.2A.2A7.9B$121.6B5.2A2.A.3A6.2A.A8.8B$120.6B10.A
4.A8.A.14B$107.A12.5B7.4A.2A2.A8.3A4B2A7B$107.3A10.4B8.A2.A.A.A.2A5.
2A2.BA3B2A7B$110.A8.4B11.BABABA.A5.A2.4A12B$109.2A7.4B13.B2ABA.A5.2A.
A.2B2.8B.B2A$109.5B3.4B15.2B.BA7.A2.3AB2.7B.BA.A$111.3B2.4B15.3B10.A
5.A3.6B4.A$98.2A.2A7.9B7.2A6.4B11.5A5.5B4.2A$98.2A.A8.8B9.A6.B2A3B11.
A8.4B$101.A.B3.10B10.A.AB3.B2A3B21.4B$101.3AB.2B2A7B11.2AB.10B20.4B$
99.2A2.BA3B2A7B13.13B20.4B$98.A2.4A12B13.14B20.4B$98.2A.A.2B3.7B.B2A
11.15B13.A6.4B$99.A2.3AB2.7B.BA.A2.2A8.8B2.4B10.3A7.4B$99.A5.A4.4B5.A
2.A9.6B5.4B8.A11.4B$100.5A5.4B5.3A2.A4.11B4.4B7.2A11.4B$102.A8.4B7.3A
3.6B4.2A5.4B3.5B12.4B$112.4B5.A5.6B5.A7.4B2.3B15.4B$113.4B4.2A3.6B7.
3A5.9B7.2A.2A3.4B7.A$114.9B3.5B10.A6.8B8.A.2A4.4B6.3A$115.6B5.4B19.
14B.A8.4B8.A$115.8B2.4B20.7B2A4B3A9.4B6.A.A$113.15B21.7B2A3BAB2.2A8.
4B5.A.AB$113.14B22.12B4A2.A8.4B5.A3B$113.13B16.2A3.2AB.8B2.2B.A.2A9.
4B6.4B$111.2AB.10B17.A.A.A.AB.7B2.B3A2.A11.4B5.6B$110.A.AB3.B2A3B21.A
.A5.5B3.A5.A12.4B4.7B$110.A6.B2A3B20.AB.A5.4B5.5A14.4B2.8B.4B.B$109.
2A6.4B21.BA.A5.4B8.A17.17B.B2A$118.3B20.3BA5.4B28.18B2A$119.2B.BA15.
4B6.4B29.16B.2B$118.B2ABA.A12.6B5.4B30.16B$117.BABABA.A11.7B4.4B31.
15B$115.A2.A.A.A.2A3.B.4B.8B2.4B30.2AB.12B$115.4A.2A2.A3.2AB.17B30.A.
AB2.11B$119.A4.A3.2A18B31.A5.10B$39.AB74.2A2.A.3A5.2B.16B30.2A5.2B2A
6B$38.BABA73.2A3.2A10.16B36.3B2A6B$37.2B2A92.15B37.10B$36.4B94.12B.B
2A35.8B.B2A.A$35.4B95.11B2.BA.A33.7B3.B2AB3A$34.4B97.10B5.A33.6B6.B4.
A$33.4B98.6B2A2B5.2A33.6B4.2A.3A$24.A7.4B99.6B2A3B39.5B4.A2.2A$22.3A
6.4B93.B6.10B39.8B.A.A$21.A8.4B97.A.2AB.8B30.A8.8BA.A.2A.A$20.A.A6.4B
96.3AB2AB3.7B29.3A6.6B.2BAB.A.2A$19.BA.A5.4B96.A4.B6.6B32.A4.7B2.2B2.
A$18.3BA5.4B98.3A.2A4.6B32.2A4.7B3.B.2A$16.4B6.4B101.2A2.A4.5B32.4B.
8B2.A.A2.2A4.2A3.2A$14.6B5.4B105.A.A.8B33.11B2.2A2.A2.A3.2A2.A.3A$13.
7B4.4B102.A.2A.A.A8B8.A23.12B7.2A8.A4.A$6.B.4B.8B2.4B103.2A.A.BA2B.6B
6.3A23.12B13.4A.2A2.A$5.2AB.17B26.2A3.2A74.A2.2B2.7B4.A26.11B14.A2.A.
A.A.2A$5.2A18B27.2A2.A.3A72.2A.B3.7B4.2A26.7B9.2A8.BABABA.A$6.2B.16B
31.A4.A69.2A2.A.A2.8B.4B26.8B8.A10.B2ABA.A$9.16B27.4A.2A2.A68.A2.A2.
2A2.11B29.9B3.BA.A11.2B.BA$10.15B27.A2.A.A.A.2A68.2A7.12B28.11B.B2A
11.3B$11.12B.B2A27.BABABA.A78.12B27.14B4.2A6.4B$11.11B2.BA.A27.B2ABA.
A79.11B25.B.15B4.A6.B2A3B$12.10B5.A28.2B.BA72.2A9.7B25.2A15B5.A.AB3.B
2A3B$12.6B2A2B5.2A26.3B76.A8.8B25.2A13B.B2A4.2AB.10B$12.6B2A3B23.2A6.
4B76.A.AB3.9B27.14B.BA.A5.13B$12.10B25.A6.B2A3B75.2AB.11B27.11B7.A5.
14B$8.A.2AB.8B25.A.AB3.B2A3B14.A62.14B28.10B6.2A4.15B$6.3AB2AB3.7B25.
2AB.10B10.3A61.15B.B25.12B13.8B2.4B$5.A4.B6.6B27.13B8.A65.15B2A24.12B
13.6B5.4B$6.3A.2A4.6B28.14B7.2A62.2AB.13B2A24.11B13.9B4.4B$8.2A2.A4.
5B28.15B3.5B61.A.AB.14B23.2A.9B13.4B4.2A5.4B$11.A.A.8B29.8B2.4B2.3B
63.A7.11B23.A3.8B12.4B5.A7.4B$7.A.2A.A.A8B29.6B5.9B7.2A.2A49.2A6.10B
23.A.A3.8B11.5B6.3A5.4B$7.2A.A.BA2B.6B7.2A19.9B4.8B8.A.2A56.12B22.2A
3.9B.2B7.6B8.A6.4B$10.A2.2B2.7B6.A19.4B4.2A5.10B3.B.A59.12B27.8B.4B5.
7B16.4B$10.2A.B3.7B3.BA.A18.4B5.A6.7B2A2B.B3A60.11B26.14B4.8B17.4B$8.
2A2.A.A2.8B2.B2A18.4B7.3A3.7B2A3BAB2.2A59.9B.2A24.11B2AB3.8B19.4B$7.A
2.A2.2A2.11B19.4B10.A3.12B4A2.A58.8B3.A24.11B2A2B.8B21.4B13.A$8.2A7.
11B18.4B11.A.2AB.7B3.2B.A.2A58.8B3.A.A23.22B23.4B10.3A$17.11B17.4B10.
2A.A.AB.7B2.B3A2.A56.2B.9B3.2A25.19B25.4B8.A$18.11B15.4B11.A2.A5.4B4.
A5.A55.4B.8B29.19B27.4B7.2A$18.2B.7B15.4B14.2A5.4B5.5A56.14B27.19B29.
4B3.5B$17.11B14.4B7.A11.6B8.A58.B2A11B27.18B31.4B2.3B$17.10B14.4B8.3A
8.6B67.2B2A11B20.A7.16B33.9B7.2A.2A$15.12B13.4B12.A6.6B5.3B4.2A8.B2.A
42.14B21.3A3.17B35.8B8.A.2A$13.13B13.4B12.2A5.6B12.B2AB9.A.A40.B.11B
26.A2.16B37.10B3.B.A$12.17B9.4B13.5B2.5B14.3B9.A.A2.2A3.A33.13B24.A2.
16B38.7B2A2B.B3A$13.17B7.4B16.3B2.4B14.B.B9.2A.2A2.A2.A.A32.14B18.2A
3.2A16B39.7B2A3BAB2.2A$11.16B2A2B5.4B4.2A.2A7.9B7.B7.5B8.B2.A.A3.A.A
32.14B18.A2.2A2.15B40.12B4A2.A$11.2A3.4B.6B2AB5.4B5.2A.A8.8B16.6B6.2A
BA2.4A.A3.A9.A19.13B7.A12.2A2.2A14B39.2AB.7B3.2B.A.2A$12.A5.B4.8B3.4B
9.A.B3.10B17.8B4.2A.A.A3.A5.3A5.3A20.14B3.3A14.A.A.B.11B39.A.AB.7B2.B
3A2.A$9.3A13.6B2.4B10.3AB.2B2A7B18.13B2.A.AB2.A7.A3.A24.13B2.A17.A2.A
3.9B40.A5.4B4.A5.A$9.A14.7B.4B9.2A2.BA3B2A7B16.13B5.A.A2B.A5.2A.B.2A
24.13B2.A17.2A4.8B40.2A5.4B5.5A$24.6B.4B9.A2.4A12B15.15B5.A2B.2A5.7B
12.2B.4B6.13B2A3.2A17.8B47.4B8.A$25.9B10.2A.A.2B3.7B.B2A13.15B4.3B11.
3B11.11B6.12B2.2A2.A16.8B47.4B$25.8B12.A2.3AB2.7B.BA.A11.17B.B.2B11.
6B8.3B2A7B7.11B2A2.2A9.2A5.8B47.4B$24.8B13.A5.A4.4B5.A11.29B4.6B2.2B
4.3B2A7B8.8B.B.A.A10.B2AB3.8B47.4B$24.7B15.5A5.4B5.2A9.13B2A16B2.7B.
4B4.11B2.B6.6B3.A2.A11.4B.8B47.4B$4.A19.6B18.A8.4B10.2A2.14B2A16B2.
16B.10B2.2B6.4B5.2A11.4B.8B47.4B$3.A.A17.7B28.4B9.A2.2AB3.27B.33B6.4B
13.B3.3B.8B47.4B$3.A.A17.7B29.4B9.2AB.A4.61B6.4B11.13B50.4B$.3A.2A12.
2B.8B30.4B11.A5.6B3.B2.2B2.46B6.4B10.12B50.4B$A4.B12.12B31.4B7.3A5.6B
14.44B6.4B8.13B.B47.4B$.3AB2A5.3B3.12B32.4B5.A7.9B14.43B6.4B7.14B2A
45.4B$3.A.2A5.4B.13B33.4B4.2A5.4B4.2A15.43B6.4B6.14B2A44.4B$5.24B35.
9B4.4B5.A15.28B.16B6.4B5.15B44.4B$7.19B39.6B5.4B7.3A12.7B2.11B2.6B2.
2B.8B.4B6.4B4.12B46.4B$6.21B38.8B2.4B10.A10.2AB.3B6.4B.3B5.3B6.7B3.4B
6.4B2.11B47.4B$6.22B35.15B21.A.AB9.B2A2B4.A15.4B5.4B6.15B47.4B$7.22B
34.14B22.A13.2A6.3A14.4B5.4B6.13B47.4B$5.24B.B32.13B22.2A24.A11.A.A.A
.A5.4B5.13B46.4B$5.25B2A29.2AB.10B48.2A10.A.2A.2A.A5.6B2.13B45.4B$5.
25B2A28.A.AB3.B2A4B61.A3.A3.A6.20B44.4B$6.25B29.A6.B2A3B61.2A3.A.2A8.
18B44.4B$9.17B2.5B26.2A6.5B68.A8.19B44.4B$14.B.10B5.2A34.4B67.A.A7.
20B43.4B$15.2B.9B4.A35.4B.BA64.2A6.19B45.4B$11.2A2.7B2.4B4.3A32.2B2AB
A.A67.23B44.4B$11.A2.AB2A.B5.4B5.A17.B14.BABABA.A67.23B43.4B$12.3ABAB
A7.4B22.2B11.A2.A.A.A.2A65.25B41.4B$16.A.A8.4B34.4A.2A2.A67.25B39.4B$
12.5A.3A7.4B37.A4.A68.24B38.4B$12.A4.A3.A7.4B32.2A2.A.3A69.23B38.4B$
15.A.A2.2A8.4B31.2A3.2A71.18B2A3B37.4B$15.2A14.4B109.2B2.12BA2BA3B35.
4B$32.4B112.13B2A4B10.2A22.4B$33.4B110.8B.3B.8B9.A22.4B$34.4B108.9B2.
B.10B5.BA.A21.4B$35.4B106.7B6.11B.3B.B2A10.A10.4B$36.4B104.7B7.17B12.
3A7.4B$37.4B102.7B9.16B15.A5.4B$38.4B100.7B12.13B15.2A4.4B$39.4B98.7B
10.2B.14B14.9B6.2A$40.4B96.7B10.2A18B14.6B7.A$41.4B94.7B11.2AB.19B2.
2B2.B3.6B5.2A.A$42.4B92.7B13.B2.35B4.A2.A$43.4B90.7B18.7B.27B3.B2A$
44.4B88.7B19.7B.16B2A14B$45.4B86.7B19.7B2.16B2A13B$46.4B68.2A14.7B20.
6B4.29B$47.4B67.A.A12.7B21.7B10.2B.B.17B$48.4B68.A11.7B24.4B10.3B4.
15B$49.4B61.2A3.A.2A8.7B23.5B7.2A.2BA5.15B$50.4B61.A3.A3.A6.7B24.2A
10.A.2BA.A5.13B$51.4B48.2A10.A.2A.2A.A5.7B26.A11.A2.BA.A2.13B$52.4B
22.2A24.A11.A.A.A.A5.7B24.3A13.A3.A.A.2A4.8B$53.4B22.A13.2A6.3A14.4B
5.7B25.A13.A.4A2.AB2A6.6B$54.4B21.A.AB9.B2A2B4.A15.4B5.7B39.A.A3.A.A
2.B8.5B$55.4B10.A10.2AB.3B6.4B.3B5.3B6.7B3.7B40.A.A2.A2.2A.2A9.B.B$
56.4B7.3A12.7B2.11B2.6B2.2B.8B.7B42.A3.2A2.A.A9.3B$57.4B5.A15.28B.19B
51.A.A9.B2AB$58.4B4.2A15.46B53.A11.2A$51.2A6.9B14.46B$52.A7.6B14.47B$
52.A.2A5.6B3.B2.2B2.49B$53.A2.A4.64B$54.2AB3.27B.36B$55.14B2A16B2.16B
.10B3.4B$56.13B2A16B2.7B.4B4.11B2.4B$57.29B4.6B2.2B4.3B2A7B.4B$57.17B
.B.2B11.6B8.3B2A11B$58.15B4.3B11.3B11.14B$58.15B5.A2B.2A5.7B12.2B.7B$
59.13B5.A.A2B.A5.2A.B.2A17.4B$61.13B2.A.AB2.A7.A3.A17.4B$60.8B4.2A.A.
A3.A5.3A5.3A13.4B$60.6B6.2ABA2.4A.A3.A9.A12.4B$60.5B8.B2.A.A3.A.A24.
4B$60.B.B9.2A.2A2.A2.A.A23.4B$61.3B9.A.A2.2A3.A23.4B$60.B2AB9.A.A30.
4B$61.2A11.A30.4B!
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dvgrn
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Re: A stable asychronous synchronizer circuit

Postby chris_c » October 31st, 2017, 10:20 am

dbell wrote:Here is a new version of my synchonizer circuit.


A smaller version that uses different edge-shooters and a smaller H-to-2G:

x = 236, y = 185, rule = LifeHistory
128.2A3.2A$128.2A2.A.3A$132.A4.A$128.4A.2A2.A$128.A2.A.A.A.2A$130.BAB
ABA.A$131.B2ABA.A$132.2B.BA$131.3B$122.2A6.4B$123.A6.B2A3B$123.A.AB3.
B2A3B$124.2AB.10B$126.13B$126.14B$126.15B$128.8B2.4B$128.6B5.4B$127.
9B4.4B$126.4B4.2A5.4B$125.4B5.A7.4B$124.4B7.3A5.4B$123.4B10.A6.4B$68.
2A11.A40.4B19.4B$67.B2AB9.A.A38.4B21.4B$68.3B9.A.A2.2A3.A29.4B23.4B$
67.B.B9.2A.2A2.A2.A.A27.4B25.4B$67.5B8.B2.A.A3.A.A26.4B27.4B$67.6B6.
2ABA2.4A.A26.4B29.4B$67.8B4.2A.A.A3.A27.4B31.4B$68.13B2.A.AB2.A25.4B
33.4B$66.13B5.A.A2B.A23.4B35.4B$65.15B5.A2B.2A22.4B37.4B$65.15B4.3B
17.A7.4B39.4B$64.17B.B.2B16.3A6.4B41.4B$44.BA18.29B8.A8.4B.2B40.4B7.A
$43.ABAB16.13B2A16B7.2A6.10B39.4B6.3A$44.2A2B10.2A2.14B2A16B2.B.5B5.
4B.7B39.4B8.A$45.4B9.A2.2AB3.27B.6B6.4B.9B39.4B6.A.A$46.4B9.2AB.A4.
34B4.4B3.9B39.4B5.A.AB$47.4B11.A5.6B3.B2.2B2.25B4.10B39.4B5.A3B$48.4B
7.3A5.6B14.21B4.12B39.4B6.4B$49.4B5.A7.9B14.19B3.9B.4B39.4B5.6B$50.4B
4.2A5.4B4.2A15.23B2A3B4.4B39.4B4.7B$51.9B4.4B5.A16.22BA2BA2B5.4B39.4B
2.8B.4B.B$52.6B5.4B7.3A11.8B2.15B2A2B7.4B39.17B.B2A$52.8B2.4B10.A11.
2A3.B5.17B9.4B39.18B2A$50.15B24.A7.21B8.4B38.16B.2B$50.14B22.3A3.A2.A
.2AB2.6B.2B5.2A9.4B37.16B$50.13B23.A5.4AB2AB2.6B8.A11.4B36.15B$48.2AB
.10B35.B5.5B9.3A9.4B33.2AB.12B$47.A.AB3.B2A3B34.2A.2A5.4B11.A10.4B31.
A.AB2.11B$47.A6.B2A3B35.A.A4.5B6.A17.4B30.A5.10B$46.2A6.4B36.A2.A4.2A
5.2A.A.A11.2A4.4B28.2A5.2B2A6B$55.3B37.2A6.A5.A.2A2.A9.B2AB4.4B33.3B
2A6B$56.2B.BA39.3A3.2A.A3.A.A9.3B6.4B13.A19.10B$55.B2ABA.A33.2A3.A4.A
2.A.A.2A.2A9.B.B6.4B10.3A19.8B.B2A.A$54.BABABA.A31.2B2AB6.A.A3.A.A2.B
8.5B7.4B8.A21.7B3.B2AB3A$52.A2.A.A.A.2A30.4B8.A.4A2.AB2A6.6B8.4B7.2A
20.6B6.B4.A$52.4A.2A2.A30.7B8.A3.A.A.2A4.8B9.4B3.5B21.6B4.2A.3A$56.A
4.A29.9B6.A2.BA.A2.13B11.4B2.3B12.2A9.5B4.A2.2A$52.2A2.A.3A30.8B6.A.
2BA.A5.13B10.9B7.2A.A.A8.8B.A.A$.BA35.2A12.2A3.2A33.7B6.2A.2BA5.15B
10.8B8.A.A10.8BA.A.2A.A$ABAB33.B2A2B3.2A46.6B10.3B4.15B11.10B3.B.A2.
4A6.6B.2BAB.A.2A$.2A2B33.4B2.B2AB45.7B10.2B.B.17B4.2A4.7B2A2B.B3A6.A
4.7B2.2B2.A$2.4B28.B.6B3.2B46.6B4.29B4.A5.7B2A3BAB2.3A2.2A4.7B3.B.2A$
3.4B17.A7.10B2.2B47.7B2.16B2A13B4.A4.12B4A2.A2.4B.8B2.A.A2.2A4.2A3.2A
$4.4B10.A5.3A5.11B2A2B46.7B2.16B2A14B2.2A2.2AB.7B3.2B.A7.11B2.2A2.A2.
A3.2A2.A.3A$5.4B7.3A8.A3.12B2A3B.B42.9B.27B3.B2A2.A.A.AB.7B2.B3A7.12B
7.2A8.A4.A$6.4B5.A10.2A3.18B2A41.36B4.A.B2A2.A5.4B4.A10.12B13.4A.2A2.
A$7.4B4.2A9.4B2.15B.B2A36.B4.20B2.2B2.B3.6B5.A3.3A5.4B5.5A5.11B14.A2.
A.A.A.2A$2A6.9B11.18B3.B36.2AB.19B14.6B5.3A7.4B10.A6.7B9.2A8.BABABA.A
$.A7.6B13.18B40.2A19B14.9B7.A5.4B9.A8.8B8.A10.B2ABA.A$.A.2A5.6B3.B2.
2B2.19B42.B.17B15.2A4.4B5.2A4.4B10.2A8.9B3.BA.A11.2B.BA$2.A2.A4.35B
45.17B15.A5.4B4.9B21.11B.B2A11.3B$3.2AB3.27B.7B46.17B12.3A7.4B5.6B21.
14B4.2A6.4B$4.14B2A16B2.6B46.15B.B2A10.A10.4B2.8B19.B.15B4.A6.B2A3B$
5.13B2A17B.7B45.12B4.BA.A21.15B16.2A15B5.A.AB3.B2A3B$6.32B.6B44.11B9.
A22.14B16.2A13B.B2A4.2AB.10B$6.17B.B.2B7.9B44.13B8.2A22.13B17.14B.BA.
A5.13B$7.15B4.3B7.8B45.12B33.10B.B2A15.11B7.A5.14B$7.15B5.A2B.2A4.8B
45.10B36.3B2AB3.BA.A16.10B6.2A4.15B$8.13B5.A.A2B.A5.7B45.9B37.3B2AB6.
A15.12B13.8B2.4B$10.13B2.A.AB2.A7.6B7.2A21.2A13.9B39.4B6.2A14.12B13.
6B5.4B$9.8B4.2A.A.A3.A8.7B6.A21.B2AB12.9B39.3B23.11B13.9B4.4B$9.6B6.
2ABA2.4A.A6.7B3.BA.A22.2B6.B9.5B37.AB.2B22.2A.9B13.4B4.2A5.4B$9.5B8.B
2.A.A3.A.A5.8B2.B2A24.2B4.3B9.4B36.A.AB2AB21.A3.8B12.4B5.A7.4B$9.B.B
9.2A.2A2.A2.A.A5.11B25.14B5.4B36.A.ABABAB18.A.A3.8B11.4B7.3A5.4B$10.
3B9.A.A2.2A3.A6.11B14.2B9.14B6.4B34.2A.A.A.A2.A16.2A3.9B.2B7.4B10.A6.
4B$9.B2AB9.A.A14.11B2.2A9.4B5.17B7.4B34.A2.2A.4A21.8B.4B5.4B19.4B$10.
2A11.A16.11B2.A7.29B7.4B33.A4.A24.14B4.4B21.4B$43.7B3.A.A.A3.31B6.4B
33.3A.A2.2A20.11B2AB3.4B23.4B$42.8B2.2A.2A.A.2A31B6.4B34.2A3.2A20.11B
2A2B.4B25.4B13.A$41.8B4.B4.A.2A32B6.4B61.18B27.4B10.3A$42.7B2.B2AB3A
3.B.32B6.4B62.15B29.4B8.A$41.9B.B2A.A7.26B3.4B6.4B60.15B31.4B7.2A$41.
13B10.B3.B.16B7.4B6.4B58.15B33.4B3.5B$41.11B7.2A11.10B.2B9.4B6.4B57.
14B35.4B2.3B$39.2AB.9B7.A13.9B13.4B6.4B49.A7.13B36.9B7.2A.2A$38.A.AB
2.10B2.BA.A10.11B15.4B6.4B48.3A3.14B38.8B8.A.2A$38.A5.11B.B2A10.12B
16.4B6.4B50.A2.12B41.10B3.B.A$37.2A5.13B4.A7.12B17.4B6.4B48.A2.12B42.
7B2A2B.B3A$44.13B3.A.A2.2A2.11B19.4B6.4B42.2A3.2A12B43.7B2A3BAB2.2A$
43.14B2.A.A2.A.A2.8B.4B18.4B6.4B41.A2.2A2.11B44.12B4A2.A$42.14B3.A2.
2A.B3.7B4.2A19.4B6.4B41.2A2.2A10B43.2AB.7B3.2B.A.2A$41.4B2.5B8.A.A2.
2B2.7B4.A21.4B6.4B42.A.A.B.8B42.A.AB.7B2.B3A2.A$40.4B3.6B4.3A2.A.BA2B
.6B6.3A19.4B6.4B41.A2.A3.6B43.A5.4B4.A5.A$39.4B4.6B4.A2.3A.A.A8B8.A
20.4B6.4B41.2A4.5B43.2A5.4B5.5A$38.4B4.6B6.A4.A.A.8B30.4B6.4B45.5B50.
4B8.A$37.4B.B2.3BA3B5.2A.2A2.A4.5B32.4B6.4B43.5B50.4B$36.11BABA2B4.A
2.2A.2A4.6B33.4B6.4B41.5B50.4B$35.4B.7BABA2B5.A4.B6.6B33.4B6.4B39.5B
50.4B$34.4B.9BA3B6.3AB2AB3.7B34.4B6.4B37.5B50.4B$33.4B2.11B.B2A6.A.2A
B.8B36.4B6.4B35.5B50.4B$32.4B4.9B2.BA.A9.10B37.4B6.4B33.5B50.4B$31.4B
5.7B7.A9.6B2A3B37.4B6.4B31.5B50.4B$30.4B7.6B7.2A8.6B2A2B5.2A32.4B6.4B
22.2A5.5B50.4B$29.4B9.4B18.10B5.A34.4B6.4B20.B2AB3.5B50.4B$28.4B11.4B
16.11B2.BA.A35.4B6.4B20.4B.5B50.4B$13.A13.4B13.4B15.12B.B2A37.4B6.4B
18.4B.5B50.4B$13.3A10.4B15.4B13.15B40.4B6.4B13.B3.3B.5B50.4B$16.A8.4B
17.4B11.16B41.4B6.4B11.13B50.4B$15.2A7.4B19.4B7.2B.16B42.4B6.4B10.12B
50.4B$15.5B3.4B21.4B5.2A18B43.4B6.4B8.13B.B47.4B$17.3B2.4B23.4B4.2AB.
17B43.4B6.4B7.14B2A45.4B$4.2A.2A7.9B25.4B4.B.4B.8B2.4B43.4B6.4B6.14B
2A44.4B$4.2A.A8.8B27.4B10.7B4.4B43.4B6.4B5.15B44.4B$7.A.B3.10B29.4B
10.6B5.4B43.4B6.4B4.12B46.4B$7.3AB.2B2A7B30.4B11.4B6.4B43.4B6.4B2.11B
47.4B$5.2A2.BA3B2A7B31.4B12.3BA5.4B43.4B6.15B47.4B$4.A2.4A12B32.4B12.
BA.A5.4B8.A34.4B6.13B47.4B$4.2A.A.2B3.7B.B2A31.4B12.AB.A5.4B5.5A33.4B
5.13B46.4B$5.A2.3AB2.7B.BA.A31.4B12.A.A5.4B4.A5.A33.6B2.13B45.4B$5.A
5.A4.4B5.A32.4B6.2A.A.A.A.AB.7B2.B3A2.A34.20B44.4B$6.5A5.4B5.2A32.4B
5.A.3A.A.2AB.7B3.2B.A.2A34.18B44.4B$8.A8.4B39.4B10.A3.12B4A2.A32.19B
44.4B$18.4B39.4B7.3A3.7B2A3BAB2.2A32.20B43.4B$19.4B39.4B5.A6.7B2A2B.B
3A32.19B45.4B$20.4B39.4B4.2A5.10B3.B.A28.23B44.4B$21.4B39.9B4.8B8.A.
2A25.23B43.4B$22.4B39.6B5.9B7.2A.2A24.25B41.4B$23.4B38.8B2.4B2.3B38.
25B39.4B$24.4B35.15B3.5B37.24B38.4B$25.4B34.14B7.2A37.23B38.4B$26.4B
33.13B8.A38.18B2A3B37.4B$27.4B30.2AB.10B10.3A36.2B2.12BA2BA3B35.4B$
28.4B28.A.AB3.B2A3B14.A40.13B2A4B10.2A22.4B$29.4B27.A6.B2A3B54.8B.3B.
8B9.A22.4B$30.4B25.2A6.4B55.9B2.B.10B5.BA.A21.4B$31.4B33.3B54.7B6.11B
.3B.B2A10.A10.4B$32.4B33.2B.BA50.7B7.17B12.3A7.4B$33.4B31.B2ABA.A48.
7B9.16B15.A5.4B$34.4B29.BABABA.A31.2A14.7B12.13B15.2A4.4B$35.4B26.A2.
A.A.A.A.2A28.A.A12.7B10.2B.14B14.9B6.2A$36.4B25.4A.2A2.A2.A30.A11.7B
10.2A18B14.6B7.A$37.4B28.A4.2A26.2A3.A.2A8.7B11.2AB.19B2.2B2.B3.6B5.
2A.A$38.4B23.2A2.A33.A3.A3.A6.7B13.B2.35B4.A2.A$39.4B21.A2.A.2A20.2A
10.A.2A.2A.A5.7B18.7B.27B3.B2A$40.4B20.2A.A24.A11.A.A.A.A5.7B19.7B.
16B2A14B$41.4B22.A13.2A6.3A14.4B5.7B19.7B2.16B2A13B$42.4B21.A.AB9.B2A
2B4.A15.4B5.7B20.6B4.29B$43.4B10.A10.2AB.3B6.4B.3B5.3B6.7B3.7B21.7B
10.2B.B.17B$44.4B7.3A12.7B2.11B2.6B2.2B.8B.7B24.4B10.3B4.15B$45.4B5.A
15.28B.19B23.5B7.2A.2BA5.15B$46.4B4.2A15.46B24.2A10.A.2BA.A5.13B$39.
2A6.9B14.46B26.A11.A2.BA.A2.13B$40.A7.6B14.47B24.3A13.A3.A.A.2A4.8B$
40.A.2A5.6B3.B2.2B2.49B25.A13.A.4A2.AB2A6.6B$41.A2.A4.64B39.A.A3.A.A
2.B8.5B$42.2AB3.27B.36B40.A.A2.A2.2A.2A9.B.B$43.14B2A16B2.16B.10B3.4B
42.A3.2A2.A.A9.3B$44.13B2A16B2.7B.4B4.11B2.4B51.A.A9.B2AB$45.29B4.6B
2.2B4.3B2A7B.4B53.A11.2A$45.17B.B.2B11.6B8.3B2A11B$46.15B4.3B11.3B11.
14B$46.15B5.A2B.2A5.7B12.2B.7B$47.13B5.A.A2B.A5.2A.B.2A17.4B$49.13B2.
A.AB2.A7.A3.A17.4B$48.8B4.2A.A.A3.A5.3A5.3A13.4B$48.6B6.2ABA2.4A.A3.A
9.A12.4B$48.5B8.B2.A.A3.A.A24.4B$48.B.B9.2A.2A2.A2.A.A23.4B$49.3B9.A.
A2.2A3.A23.4B$48.B2AB9.A.A30.4B$49.2A11.A30.4B!
chris_c
 
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