Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

[2718281828]

When playing around with periodic logic gates I noticed that the p3 splitter with minimal repeat time 21 can be modified so that it works for a repeat time of 18 if the input is an R:

Code: Select all

x = 80, y = 14, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2$61b2o11bo$32bo29bo11b3o$32b3o27b2o12bo$34bo39bo$6b2o6b3o13bo17b2o6b
3o8bo2bo3b2o$7bo8bo8bo2bo2bobo15bo8bo15bo$5b3o7b2o13bo16b3o7b2o17bo$
34bo39b3o$32b3o39bo$32bo!

I think this is a splitter repeat time record.
Hence it allows for a double barrel p18 R-gun:

Code: Select all

x = 48, y = 41, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3$10bo3bo$12bo17b2o11bo$11b3o17bo11b3o$12bo18b2o12bo$41bo$6bo29bo2bo2b
obo$16bo24bo$7bo4bo2b3o27bo$16bo26b3o$43bo$17b3o$12bo4bobo$11b3o$12bo$
10bo3bo2$12b2o9b2o$10bo2bo9bo2bo$10b2ob2o7b2ob2o$4bo3bo8b3o4bo7bo$6b2o
bo3bo3bobo5bo3bo$6bobobobo12bo3bo$6b2obo3bo11bo3bo$4bo3bo15bo7bo$10b2o
b2o7b2ob2o$11bobo9bobo$9bo5bo5bo5bo$14b2o5b2o2$14b2o2bo2b2o$15bob3obo$
13bo3b3o3bo$17b3o$18bo3$16bo3bo!

Edit1:
And this p18 double G gun:

Code: Select all

x = 43, y = 47, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
31b2o3bo$31bo2bo$30b2ob3o2$35bo$32b3o$33b2o2$34bo$33b3o$6bo3bo22bo2bo
2$8bo$7b3o30bo$7b3o30b3o$2bo8b3o7b2o19bo$9b3ob2o7b2o16bo$3bo4b3o3bo7bo
11bobo3b2o$9b2o10bo18bo$28b2o12bo$7b3o3bo14bo11b3o$7b3o4bo12b2o11bo$8b
o2$6bo3bo22bo2bo$33b3o$8b2o9b2o13bo$6bo2bo4bo4bo2bo$6b2ob2o2b3o2b2ob2o
10b2o$o7bo4bobo8bo3bo3b3o$2b2o3bobo4bo4bo3bob2o8bo$bobo2b5o9bobobobo$
2b2o3bobo9bo3bob2o3b2ob3o$o7bo15bo3bo2bo2bo$6b2ob2o7b2ob2o8b2o3bo$7bob
o9bobo$5bo2bo2bo5bo2bo2bo$10b2o5b2o$9bo2bobobo2bo$10b2ob3ob2o$11bo2bo
2bo$9bo3b3o3bo$14bo$13b3o$14bo2$12bo3bo!

using this p9 90° G to R reflector with minimal repeat time 18 (9 is not possible anyway):

Code: Select all

x = 15, y = 23, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$5b2o3bo$5bo2bo$4b2ob3o2$9bo$6b3o$7b2o2$8bo$7b3o$7bo2bo7$8bo$7b3o$6bo
2bo!

Edit2:
A collection of 90° R to G reflectors for all periods that might be relevant. For all periods we have this type of reflectors as we have guns for all periods using:

Code: Select all

x = 32, y = 21, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2$4bo20bo$4b3o20bo$6bo19b2o$23bo$2b2o20bo$3bo20b2o$2b2o19b2o7$6b3o18b
3o$6bobo18bobo$8bo20bo!

Here the list pX [Y = min. repeat time] containing
p1 [37], p6 [12], p7 [14], p8 [16], p9 [18], p10 [20], p11 [11], p13 [13], p15 [15], p17 [17], p19 [17], p22 [22], p23 [23], p29 [29], p31 [31] :

Code: Select all

x = 78, y = 518, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
8$23bo$25bo$24b2o3$25bo$23b5o$23bo3bo$22b2obob2o$23bo3bo$23b5o$19bo5bo
$11bo5b5o$13bo3bo3bo4bo$12b2o2b2obob2o2b3o$17bo3bo2bo2bo$17b5o$19bo15$
25b3o$25bobo$25bo6$24bo$19bo$22b2obo$21b3o$22b2o$19bo$23bo$22b3o$22bo
2bo4$23bo$22b3o$22bo2bo7$26bo2$25b2obo$22bob3o$18b2o5b2o$19bo$19b2o5bo
$25b3o$25bo2bo5$26bo$25b3o$24bo2bo5$25bo12bo$19bo3bo3bo4bo3bo3bo$21bo
4b2o6bo4b2o$20b3obobo6b3obobo$24b3o10b3o$20bo3bo8bo3bo$21b2o11b2o$21b
2o11b2o2$21bo13bo$20b3o11b3o$19bo2bo11bo2bo6$21bo13bo$20b3o11b3o$19bo
2bo11bo2bo8$20b2o3bo$20bo2bo$19b2ob3o2$24bo$21b3o$22b2o2$23bo$22b3o$
22bo2bo7$23bo$22b3o$21bo2bo6$21bo3b2o$23bo2bo$22b3ob2o$21bo3bo$24bo$
23b3o$24b2o$22bo$25bo$24b3o$24bo2bo8$25bo$24b3o$24bo2bo9$24bo$22bo2$
25bo2$22bo5bo$24b3o$20b2o7b2o$21bo7bo2bo$21b2o5b2o2b3o$15bo3bo5bo8bo$
13bo10bobo$17bo3bo7b2o$16b2o3b2o7bo3b2o$13bo3bo3bo7b2o3b2o$24bobo$15bo
3bo5bo9bo$21b2o5b2o4b3o$21bo7bo4bo2bo$20b2o7b2o$24b3o$22bo5bo$34b3o$
25bo8bobo$34bo$22bo$24bo17$24bo$22bo$22b2o2$21b5o4bo$22bobo7bo$17b2o9b
2ob2o$17b3o7b3o$14b2ob2o9b2o$14bo7bobo$16bo4b5o3bo$28b3o$23b2o3bo2bo$
24bo$22bo3$28b3o$28bobo$30bo8$23bo$21b3o$21bo7bo2$23b2o3b2obo$23b3ob3o
$20bo2b2o3b2o2$21bo7bo$21b3o4b3o$23bo4bo2bo6$28b3o$28bobo$28bo9$25b2o
3b2o$25bo5bo$24b2o5b2o$26bobobo$23bo$21b4o$21bo7b2o$23bo5b2o$25bo$24b
2o4bo$29b3o$29bo2bo7$29b3o$29bobo$31bo8$26b2o17b2o$20bo5b2o5bo5bo5b2o
5bo$22bo7b2o9bo7b2o$21b2o6b3o8b2o6b3o$30b2o17b2o$26b2o17b2o$26b2o17b2o
2$26bo19bo$25b3o17b3o$24bo2bo17bo2bo8$25b3o17b3o$25bobo17bobo$27bo17bo
9$36bo$36b3o$38bo$35bo$23bo4bo2bo3bo$25bo9bo2b2o$24b2o12b2o2$39bo$38b
3o$38bo2bo9$39bo$38b3o$37bo2bo7$28b2o8bo$28b2o$33b2obo$32bo$31bo$27b2o
2bo11b2o$28bo7bo7bo$28b2o11bo2b2o$41bo$40bo$36bob2o$43b2o$34bo8b2o2$
44bo$43b3o$43bo2bo10$43b3o$43bobo$43bo6$39bo$37bo$37b2o$40bo$31bo4bobo
2bo$41bo$33bo7b2o$36bo4bo$38bob2o$32b2o4b2o$33bo$31bo7bo$34b2o2b3o$35b
o2bo2bo$33bo10$38b3o$38bobo$40bo8$48b2o$46bo2bo$46b2ob2o$48bo2$47bo$
45b5o$45bo3bo$44b2obob2o$37bo5bo3bo3bo$35b3o3b3o7b3o$35bo2bo2bo11bo3b
2o$37bo2b2ob2o5b2ob2o2bo$36b2o3bo11bo2bo2bo$41b3o7b3o3b3o$43bo3bo3bo5b
o$37b2o5b2obob2o$37bo2bo4bo3bo$36b2ob2o4b5o4bo$38bo8bo8bo$32bo22b2o$
42bo$33bo9bo$43b2o11b2o$32bo9b2o12b2o2$36b3o7bobo8bo$36bobo7b3o7b3o$
56bo2bo$41b2o9bo$40b2o$41bo9bo$33bo8bo$52bo$37bo8bo$35b5o4b2ob2o$35bo
3bo4bo2bo$34b2obob2o5b2o$27bo5bo3bo3bo$25b3o3b3o7b3o$25bo2bo2bo11bo3b
2o$27bo2b2ob2o5b2ob2o2bo8b3o$26b2o3bo11bo2bo2bo6bobo$31b3o7b3o3b3o8bo$
33bo3bo3bo5bo$34b2obob2o$35bo3bo$35b5o$37bo2$36bo$34b2ob2o$35bo2bo$35b
2o10$32bo8bo$34bo4bo$33b2o4b2o2$27b2o15b2o$29bo13bo$35b3o$29bo13bo$27b
2o15b2o2$32b2o4b2o5bo$33bo4bo5b3o$31bo8bo3bo2bo14$44b3o$44bobo$44bo!

And a simple but fun p11 R-shuttle:

Code: Select all

x = 35, y = 35, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
25b2o$23bo2bo$23b2ob2o$4bo20bo$6bo12bo11bo$5b2o14bo3bo3bo$8bo11b2o3bo
3b2o$2bo6bo15bo$3o6bo12bo5bo$o2bob3ob2o12b5o$2bo6bo2b2o3b3o5bo$b2o6bob
2o4bo5bo$8bo3bo4b2o3b3o$5b2o6bo7bo2bo$6bo$4bo5bo$10bobo$10b3o9b3o$22bo
bo$24bo5bo$28bo$10bo2bo7bo6b2o$10b3o3b2o4bo3bo$11bo5bo4b2obo6b2o$9bo5b
3o3b2o2bo6bo$7b5o12b2ob3obo2bo$6bo5bo12bo6b3o$9bo15bo6bo$4b2o3bo3b2o
11bo$5bo3bo3bo14b2o$3bo11bo12bo$9bo20bo$7b2ob2o$8bo2bo$8b2o!

and a G/R mixture one:

Code: Select all

x = 65, y = 72, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2$15bo$13bo2$16bo2$13bo5bo$15b3o$11b2o7b2o$12bo7bo2bo21bo$12b2o5b2o2b
3o17bo$6bo3bo5bo8bo17b2o$4bo10bobo23bo$8bo3bo7b2o18bo6b2o$7b2o3b2o7bo
3b2o13bo6bo$4bo3bo3bo7b2o3b2o12b2ob3obo2bo$15bobo13b2o3b2o2bo6b3o$6bo
3bo5bo9bo5bo2bob2obo6bo$12b2o5b2o4b3o3b2o3b2o3bo$12bo7bo4bo2bo14b2o$
11b2o7b2o21bo$15b3o21bo5bo$13bo5bo17bobo$25b3o9b3o$16bo8bobo$25bo$13bo
$15bo20bo2bo$26bo10b3o$25b3o10bo$24bo2bo2$37bo$37bobo$25b3o9b3o$25bobo
$27bo2$37bo2bo$26bo10b3o$25b3o10bo$25bo2bo20bo$51bo$39bo$37bobo8bo$25b
3o9b3o$25bobo17bo5bo$19bo5bo21b3o$21bo21b2o7b2o$20b2o14bo2bo4bo7bo$23b
o3b2o3b2o3b3o4b2o5b2o$17bo6bob2obo2bo5bo9bo5bo3bo$15b3o6bo2b2o3b2o13bo
bo$15bo2bob3ob2o12b2o3b2o7bo3bo3bo$17bo6bo13b2o3bo7b2o3b2o$16b2o6bo18b
2o7bo3bo$23bo23bobo10bo$20b2o17bo8bo5bo3bo$21bo17b3o2b2o5b2o$19bo21bo
2bo7bo$43b2o7b2o$47b3o$45bo5bo2$48bo2$51bo$49bo!

[dani]

I call this one the 'r wash':

Code: Select all

x = 57, y = 67, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
11bo$9bo2$12bo2$9bo5bo$11b3o$7b2o7b2o$8bo7bo2bo21bo$8b2o5b2o2b3o17bo$
2bo3bo5bo8bo17b2o$o10bobo23bo$4bo3bo7b2o18bo6b2o$3b2o3b2o7bo3b2o13bo6b
o$o3bo3bo7b2o3b2o12b2ob3obo2bo$11bobo13b2o3b2o2bo6b3o$2bo3bo5bo9bo5bo
2bob2obo6bo$8b2o5b2o4b3o3b2o3b2o3bo$8bo7bo4bo2bo14b2o$7b2o7b2o21bo$11b
3o21bo5bo$9bo5bo17bobo$21b3o9b3o$12bo4bo3bobo15bo$15b3o3bo17b3o$9bo5bo
2bo19bo2bo$11bo5bo14bo2bo3bo$16b2o4bo10b3o3b2o$18bo2b3o10bo3bo$15bobo
2bo2bo15bo$15b3o19bob3o$18bo14bo3b2o2bo$17bo15bobobobo$15b3o3b3o9b3o3b
2o$15bo2bo2bobo14bo$17bo5bo15bo$16b2o21b3o$18bo14bo2bobo2bo$17bo4bo10b
3o3bo$15b3o3b3o10bo4b2o$15bo2bo2bo2bo20bo$17bo29bo$16b2o17bo$18bo14bob
o8bo$17bo3b3o9b3o$15b3o3bobo17bo5bo$15bo2bo2bo21b3o$17bo21b2o7b2o$16b
2o14bo2bo4bo7bo$19bo3b2o3b2o3b3o4b2o5b2o$13bo6bob2obo2bo5bo9bo5bo3bo$
11b3o6bo2b2o3b2o13bobo$11bo2bob3ob2o12b2o3b2o7bo3bo3bo$13bo6bo13b2o3bo
7b2o3b2o$12b2o6bo18b2o7bo3bo$19bo23bobo10bo$16b2o17bo8bo5bo3bo$17bo17b
3o2b2o5b2o$15bo21bo2bo7bo$39b2o7b2o$43b3o$41bo5bo2$44bo2$47bo$45bo!

All jokes aside, nice logic gates! Incredibly stupid of me to try using nothing but signals, although the splitters serve as a 'signal duplicator'. If anybody has any good blueprints for a half-adder, I could try to make one. I remember seeing one in a generations rule

[2718281828]

All jokes aside, nice logic gates! Incredibly stupid of me to try using nothing but signals, although the splitters serve as a 'signal duplicator'. If anybody has any good blueprints for a half-adder, I could try to make one. I remember seeing one in a generations rule

In general I think it might be feasible to construct a p18 computer using this 'NOT' reaction, the p18 R gun, and the p18 splitter, resp. reflector (both colour preserving).

Code: Select all

x = 103, y = 106, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4$67b3o11bo3bo$10b2o16b2o7b3o27bobo$10bo17bo8bo31bo$10b3o15b3o6b2o$83b
o$88bo$79b2o2bo2bo$5b3o72bo5b2o$5bobo70bo2bo3bo$5bo61b3o8b3o5b2o5bo$
67bobo10bo5bo2bobo$67bo20b2ob2o$98bo$74b2o7bo2b2o5bo$74bo11b4o3bo$69bo
4b2o7bo2b2o5bo$5b3o59b5o26bo$5bobo59bo3bo16b2ob2o$7bo54bo4bo3bo4bo3bo
5bo2bobo$68bobo7b3o5b2o5bo$63bob3o3b3obo2bo$80bo2bo2b2o$62bo13bo2b2ob
3obo$69bo12b3o3bo$68bobo11b3o$5b3o75bo$5bobo59bo$5bo$81bo3bo6$33b2o3b
2o$33bo2bo2bo$32b2ob3ob2o4$36bo3$36bo$31bo3$34bo$32b3o$32bo3$36b3o$36b
obo$36bo7$36b3o$36bobo$38bo7$33b2o3b2o$33bo2bo2bo$32b2ob3ob2o4$36bo3$
36bo4$34bo$32b3o$32bo3$36b3o$36bobo$36bo7$36b3o$36bobo$38bo!

similarly as in http://conwaylife.com/forums/viewtopic.php?f=2&t=2561 the computer consists in B3/S23 only of one reflector, gun, duplicator type.

For smaller repeat times we need a faster splitter.

[2718281828]

Three reactions where I am not sure about the use:

Code: Select all

x = 103, y = 52, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2$92bo3bo$89bo4bo4bo$72bobo14b3ob3obo$72b3o16bob3ob2o$56b2o30bo4bobo4b
o$55b2o35bo3bobo$56bo31bo3bo3bob2o$2bo13bo40bo43bo$11bo76bo5b4o$9b5o
19bo4bo33bobo10bo7b2obobobo$9bo3bo22b5o31b3o19bo2bo$8b2obob2o21bo3bo
46bo13bo$9bo3bo21b2obob2o49bo6b2o$9b5o22bo3bo49bobo3bo2bo$11bo24b5o49b
3o3b2o$38bo52bo$3b3o$3bobo24b3o58bo$5bo24bobo40bo16b3o$32bo39b3o16bo$
73bo2$73bo$72b3o$72bobo21b2o$73bo22bo2bo$98b2o$87bo2b3o4bo3bo$90bobo5b
o$73bo11bo9bob3o$72b3o13bo9bo$72bobo22bo3bo$13b3o57bo14bo5bo3b2o$13bob
o82bo$13bo74bo11bo$91bobobob2o$89b3o5bo$89bo9bo$92bo3bo3$33bo4bo$36b5o
$36bo3bo$33bob2obob2o$36bo3bo$36b5o$38bo!

The first one can be supported by arbitrary R streams, similarly as the second one. The second one might support a diagonal spaceship using the reaction shown below which requires just a dot as catalyst. The third reaction can be supported by a p14 G stream and allows oscillators as shown.

Moreover a neat p28 T-shuttle popped up in apgsearch (left):

Code: Select all

x = 31, y = 14, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3$7bo13bo3bo$4bo16bo$bo17bobo$8bo11bo5bo$7b3o15b3o$2bo17bo2$6bo17bo$3b
o17bo!

It can be doubled as shown right (sparking at p28+(0,13) ), but a symmetric p14 is not feasible.

Edit1:
The t-shuttle can be extended: e.g. a p84 and p140:

Code: Select all

x = 66, y = 38, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$39bo$36bo$33bo$40bo2$34bo$39bo5bo$30bo11bo$27bo5bo$46bo2$28bo$13bo31b
o5bo$10bo21bo15bo$7bo21bo5bo$14bo37bo2$8bo25bo$13bo5bo31bo5bo$4bo11bo
21bo15bo$bo5bo27bo5bo$20bo37bo$19b3o35b3o$2bo37bo$15bo37bo$6bo11bo25bo
11bo$3bo5bo31bo5bo$14bo37bo2$8bo37bo$15bo37bo$12bo37bo$9bo37bo!

[Majestas32]

The p28 is *technically* an RRO.

[2718281828]

The p28 is *technically* an RRO.

True, why 'technically'? Is it the smallest known RRO?

[Majestas32]

No just it's weird that it has SLs in it while still technically beinag an RRo

[77topaz]

Well, because the doubled version doesn't oscillate at p14, it doesn't quite fit the definition of an RRO with multiplicity... but yeah, it is reflectorless, because it consumes and recreates all the dots.

[2718281828]

Well, because the doubled version doesn't oscillate at p14, it doesn't quite fit the definition of an RRO with multiplicity... but yeah, it is reflectorless, because it consumes and recreates all the dots.

But the p84 version can be doubled to get a p42 which can be doubled to get a p21:

Code: Select all

x = 78, y = 22, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
41bo24bo$14bo23bo26b2o$11bo23bo26bo3bo$8bo33bo26bo$15bo$36bo26bo$9bo
31bo5bo20bo5bo$14bo5bo11bo11bo14bo11bo$5bo11bo17bo26bo$2bo5bo39bo26bo$
21bo7b3o15b3o6b3o15b3o$20b3o7bo26bo$3bo39bo26bo$16bo17bo11bo14bo11bo$
7bo11bo11bo5bo20bo5bo$4bo5bo31bo26bo$15bo$36bo26bo$9bo33bo22bo3bo$16bo
23bo25b2o$13bo23bo28bo$10bo!

[77topaz]

Okay, the p84 does fit all definitions of an RRO (thought it's obviously larger than the p28 version).

[AforAmpere]

...because it consumes and recreates all the dots.

Isn't that how reflectors work normally? Something is reflected generally by messing up part of the reflector and restoring it later, similar to how these dots function.

[dani]

You probably noticed that there's a related fuse, 6c/14 diagonal:

Code: Select all

x = 16, y = 17, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
o3$b3o$2bo2$6bo$3bo5bo3$8bo2$12bo$9bo5bo3$14bo!

Also shown in this pattern is an almost-termination, where one dot is simply misplaced one cell to the left.

Very nice job on the adjustable-period and adjustable-multiplicity (semi-)RRO! If only there was a way to get more sparks out of it, or even a gun.

I bet the fuse can be carried by a diagonal puffer.

[2718281828]

Okay, the p84 does fit all definitions of an RRO (thought it's obviously larger than the p28 version).

But I am still not sure about this.
Wiki states There is the additional constraint that two non-interacting copies of the pattern could be combined into an oscillator with a period equal to exactly half of that of the component oscillators.
this combined is somehow vague in the definition. If it would mean copying [+rotating] (as usually done for say 'standard RROs) then it is not an RRO due to the dots on the other opposite side - which have to be removed to place the T. If combine allows for such a small modification the it is an RRO following the definition.

Thus, I think RROs should classified into two subgroups:
reflectorless rotating spaceship oscillators (like the standard examples - the rotating 'spaceship' produces no output) and reflectorless rotating fuse oscillators (like the p84 T-shuttle, the rotating 'fuse' leaves debris which support the fuse in the next cycle)
But this might be discussed in a different general section.

[calcyman]

It's not reflectorless because the dots are 'reflectors'.

[BlinkerSpawn]

Thus, I think RROs should classified into two subgroups:
reflectorless rotating spaceship oscillators (like the standard examples - the rotating 'spaceship' produces no output) and reflectorless rotating fuse oscillators (like the p84 T-shuttle, the rotating 'fuse' leaves debris which support the fuse in the next cycle)
But this might be discussed in a different general section.

These "fuse" oscillators would be acting as conduits, which are reflectors insofar as the definition of a reflectorless rotating oscillator is concerned.
All RROs move through an empty medium.

[2718281828]

Something like a stable memory band consisting of dots. It can be read by an R (an additional G makes it to a salvo).
This example is 110101:

Code: Select all

x = 137, y = 29, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
26b2o3b2o11b2o3b2o11b2o3b2o11b2o3b2o11b2o3b2o11b2o3b2o$26bo2bo2bo11bo
2bo2bo11bo2bo2bo11bo2bo2bo11bo2bo2bo11bo2bo2bo$25b2ob3ob2o3b2o4b2ob3ob
2o3b2o4b2ob3ob2o3b2o4b2ob3ob2o3b2o4b2ob3ob2o3b2o4b2ob3ob2o3b2o$35bo2bo
14bo2bo14bo2bo14bo2bo14bo2bo14bo2bo$34bobob2o12bobob2o12bobob2o12bobob
2o12bobob2o12bobob2o$34b3o15b3o15b3o15b3o15b3o15b3o$23bo5bo8bo2bo5bo8b
o2bo5bo8bo2bo5bo8bo2bo5bo8bo2bo5bo8bo2bo2$2bo$4bo24bo17bo35bo35bo$3b2o
$23bo$24bo$4bo19b2o$2b5o16b2o$2bo3bo$b2obob2o$2bo3bo$2b5o$4bo5$9b2o$
10bo$9b2o!

And a way to change the memory entries (using a side salvo):

Code: Select all

x = 58, y = 33, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3$8b2o3b2o22b2o3b2o$8bo2bo2bo22bo2bo2bo$7b2ob3ob2o3b2o15b2ob3ob2o3b2o$
17bo2bo25bo2bo$16bobob2o23bobob2o$16b3o26b3o$5bo5bo8bo2bo10bo5bo8bo2bo
3$11bo28b3o$40bobo3$7b3o$7bobo26bo$35b3o$35bo2bo2$45b3o$45bobo5$39b3o$
39bobo!

The dot inserter is likely not optimal.
Edit1: 3 G/R for inserting the dot and their timing is arbitrary:

Code: Select all

x = 24, y = 23, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$5b2o3b2o$5bo2bo2bo$4b2ob3ob2o3b2o$14bo2bo$13bobob2o$13b3o$2bo5bo8bo2b
o3$8b3o$8bobo$10bo2$5b3o$5bobo4$4b3o$4bobo$4bo!

Maybe it is easier to use xq4_1f9c1263 and snowflakes, like this:

Code: Select all

x = 75, y = 28, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4$13bo9bo9bo9bo9bo9bo$15bo9bo9bo9bo9bo9bo$14b2o8b2o8b2o8b2o8b2o8b2o3$
15bo9bo19bo19bo$13b5o5b5o15b5o15b5o$13bo3bo5bo3bo15bo3bo15bo3bo$12b2ob
ob2o3b2obob2o13b2obob2o13b2obob2o$13bo3bo5bo3bo15bo3bo15bo3bo$13b5o5b
5o15b5o15b5o$15bo9bo19bo19bo2$6bo$6b4o$6bo2bo$8b2o$6bo$7bo$7b2o$6b2o!

But we would need a signal to xq4_1f9c1263 converter to read the memory band multiple times, and we just have a synthesis of it, but not even a gun.

[2718281828]

A stable colour changing G reflector, which acts in the same way as the central snowflake reflector:

Code: Select all

x = 37, y = 19, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
7bo26bo$5bo26bo$5b2o25b2o$3bo18bo$20bo$2bo17b2o11bo$31b5o$31bo3bo$b2o
7b2o9bo8b2obob2o$2bo7bo8b5o7bo3bo$o11bo6bo3bo7b5o$18b2obob2o8bo$bo9bo
7bo3bo$3bo5bo9b5o$2b2o5b2o10bo3$5b3o12b3o9b3o$5bobo12bobo9bobo!

The minimum repeat time is 64, so nothing special:

Code: Select all

x = 13, y = 35, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
7bo$5bo$5b2o$3bo2$2bo3$b2o7b2o$2bo7bo$o11bo2$bo9bo$3bo5bo$2b2o5b2o3$5b
3o$5bobo5$5bo$3b5o$3bo3bo$2b2obob2o$3bo3bo$3b5o$5bo3$4b2o$5bo$3bo!

At the end of the reflection reaction there is for quite a while another G, but I don't see a way to rescue it.
Still, the reflector can be used as a signal splitter, (reflected) G + snow-flake-signal (which can be transformed into a G if required):

Code: Select all

x = 35, y = 22, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$8bo$10bo$9b2o7bo$7bo8b5o$16bo3bo$6bo8b2obob2o2b2o$16bo3bo3bo$16b5o5bo
$5b2o7bo3bo$6bo7b3o$4bo11bo2$5bo9bo$7bo5bo$6b2o5b2o3$9b3o$9bobo!

[2718281828]

A shuttle based p32 gun:

Code: Select all

x = 23, y = 24, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$bo19bo$3bo15bo$2b2o15b2o2$o14bo6bo$13b4o$15bo2$2b2o15b2o$3bo15bo$3b2o
13b2o$10bobo$bo19bo$3bo15bo$2b2o15b2o2$o11b2o$12bo$12b2o8bo2$2b2o15b2o
$3bo15bo$bo19bo!

But it is slightly larger (23x23) than the actual one (21x25) and itself p64.

And a modified version:

Code: Select all

x = 23, y = 26, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
11b2o$12bo$10bo9b2o$15bo5bo$9bo2bo5bo2b2o$11b3o3b3o$12bo5bo$15bo$9bo$
17bo4$11bo$11bo$bo9bo9bo$3bo15bo$2b2o15b2o2$o7b2o$7bob2o$8b2o12bo2$2b
2o15b2o$3bo15bo$bo19bo!

[2718281828]

Can someone solve this puzzle:

Code: Select all

x = 37, y = 18, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
32b3o$31bo3bo$30bo5bo$36bo$36bo$35bo$34bo$33bo$32bo$32bobo$33bo2$b2o8b
2o8b2o10bo$3bo9bo$bo9bo9bo10bo$3o7b3o7b3o8b3o$obo6bo2bo6bo2bo8bobo$bo
30bo!

[toroidalet]

smaller p33 gun (again):

Code: Select all

x = 26, y = 16, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2bo5b2o$3o4b2obo7bo4bo$o7b2o13b3o$2bo8bo6bo6bo$b2obo18bo$4b3o4bo11b2o$
6bo$8b2obob2o$9bo3bo$9b5o$11bo3$8b2ob2o$8bo2bo$10b2o!

a non-phase changing version of the snowflake pusher used in the p29 and p33 guns could result in a smaller p32 gun, but i can't find one.


alternative (incomplete) tape reader:

Code: Select all

x = 92, y = 71, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
42bo$44bo$43b2o2$82bo$43bo36b5o$36b2o3b5o3b2o29bo3bo$37bo3bo3bo3bo29b
2obob2o$7bo27bo4b2obob2o2b2o29bo3bo$5b5o31bo3bo34b5o$5bo3bo31b5o36bo$
4b2obob2o20bo11bo$5bo3bo19b5o36bo$5b5o19bo3bo16b2o16b5o$7bo16b2o2b2obo
b2o15bo17bo3bo$25bo3bo3bo16b2o15b2obob2o$23bo5b5o34bo3bo$31bo36b5o$70b
o2$15bo$13b5o$13bo3bo$12b2obob2o$13bo3bo$13b5o$15bo4$30bo$28b5o36bo$
28bo3bo16b2o16b5o$23b2o2b2obob2o15bo17bo3bo$13bobo8bo3bo3bo16b2o15b2ob
ob2o$6bobo4b3o6bo5b5o34bo3bo$6b3o21bo36b5o$55bo13bo$53bo34bo$53b2o31b
5o$86bo3bo$85b2obob2o$53bo32bo3bo$51b5o30b5o$51bo3bo32bo$50b2obob2o$
51bo3bo$8bo42b5o$6b5o42bo$b2o3bo3bo$2bo2b2obob2o$o5bo3bo$6b5o$8bo3$6b
2o$6bo$8bo$14bo$12b5o$12bo3bo$11b2obob2o$12bo3bo$12b5o$14bo3$14b2o$14b
o$16bo!

This is just a proof of concept. the actual one would have a correction thing to correct the phase of the lower extender and the position of the snowflake.
i remember there being some pattern which had all of the ways to insert g/rs but now i can't find it.

[2718281828]

A double barrel p16 G gun (based on an oscillator from a soup), such as the single version (just 12 cells) and a matching R-gun:

Code: Select all

x = 73, y = 29, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2$31bo$6bo22bo$4bo$28bo21bo2bo$3bo28bo22bo$7bo19bo29bo$2bo29bo27bo3bo$
7bo30bo6bo12bo3bo4bo$13bo13bo4bo17bobobo10bo$7bo38bo15bo2b2o$63bobo$
35bo11bo14b2o3bo$33bo29bo$31bo$11bo4bo34bo$5bo$11bo$16bo$11bo$15bo2$
14bo$12bo!

And a related weird p80 gun:

Code: Select all

x = 25, y = 26, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
7bo2bo$12bo$14bo$17bo3bo$2bo12bo3bo4bo$7bobobo10bo$3bo15bo2b2o$20bobo$
4bo14b2o3bo$20bo2$8bo13b2o$22bo$24bo$6bo$22b2o$22bo$2bo18bo2bo$7bo14b
3o$bo3b2ob2o12bo$5bobobo$o4b2ob2o3bo$7bo$12bo$10bo$5bo2bo!

EDIT1:
A two stable pattern which sparse a G sequence to an R sequence with period >= 47:

Code: Select all

x = 120, y = 46, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4$105bo3b2o$107bo2bo2b2o$106b2o2b2o2bo$114b2o2$38b2o22b2o21b2o22b2o$
37bob2o22bo20bob2o22bo$38b2o22b2o21b2o22b2o3$109bo$106b2ob3o$107bo3bo$
105bo10$94bo$88bo3bo4b2o$88b3ob2o4bo2b2o$90bo7b2o2bo$102b2o2$3b2o21b2o
22b2o21b2o22b2o$4bo20bob2o22bo20bob2o22bo$3b2o21b2o22b2o21b2o22b2o3$
90b2o5bo$91bo2b2ob3o$89bo4bo4bo$96bo!

The first one lets survive every second signal, the second one every third one.

EDIT2:
This concept can be generalised:
#1 lets every 2nd pass
#2 lets every 3rd pass
#3 lets every 4th pass etc

Code: Select all

x = 355, y = 121, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
8$336bo3b2o$338bo2bo2b2o$337b2o2b2o2bo$345b2o2$11b2o21b2o22b2o21b2o22b
2o21b2o22b2o21b2o22b2o21b2o22b2o21b2o22b2o21b2o22b2o$12bo20bob2o22bo
20bob2o22bo20bob2o22bo20bob2o22bo20bob2o22bo20bob2o22bo20bob2o22bo$11b
2o21b2o22b2o21b2o22b2o21b2o22b2o21b2o22b2o21b2o22b2o21b2o22b2o21b2o22b
2o3$340bo$337b2ob3o$338bo3bo$336bo9$337bo$335bo4b2o$335b2o4bo2b2o$341b
2o2bo$345b2o2$10b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o
20b2o20b2o20b2o20b2o20b2o$11bo21bo21bo21bo21bo21bo21bo21bo21bo21bo21bo
21bo21bo21bo21bo21bo$10b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b
2o20b2o20b2o20b2o20b2o20b2o20b2o3$333b2o5bo$334bo2b2ob3o$332bo4bo4bo$
339bo8$332bo$330bo5b2o2b2o$330b2o4bo4bo2b2o$335b2o4b2o2bo$345b2o2$10b
2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b
2o20b2o$11bo21bo21bo21bo21bo21bo21bo21bo21bo21bo21bo21bo21bo21bo21bo
21bo$10b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o
20b2o20b2o20b2o3$328b2o4b2o4bo$329bo5bob2ob3o$327bo5bo3bo4bo$339bo11$
327bo$325bo5b2o3b2o2b2o$325b2o4bo4bo4bo2b2o$330b2o3b2o4b2o2bo$345b2o2$
10b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o
20b2o20b2o$11bo21bo21bo21bo21bo21bo21bo21bo21bo21bo21bo21bo21bo21bo21b
o21bo$10b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b
2o20b2o20b2o20b2o3$323b2o4b2o3b2o4bo$324bo5bo4bob2ob3o$322bo5bo4bo3bo
4bo$339bo12$322bo$320bo5b2o3b2o3b2o2b2o$320b2o4bo4bo4bo4bo2b2o$325b2o
3b2o3b2o4b2o2bo$345b2o2$10b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o
20b2o20b2o20b2o20b2o20b2o20b2o20b2o$11bo21bo21bo21bo21bo21bo21bo21bo
21bo21bo21bo21bo21bo21bo21bo21bo$10b2o20b2o20b2o20b2o20b2o20b2o20b2o
20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o20b2o3$318b2o4b2o3b2o3b2o4bo$
319bo5bo4bo4bob2ob3o$317bo5bo4bo4bo3bo4bo$339bo!

The repeat time is 47 for the #1, the other ones have a repeat time of 44.

It allows for relatively small size large period p guns,
e.g. a p=61x7=427 gun in a 44x15 box:

Code: Select all

x = 44, y = 15, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
14bo$4bo7bo5b2o3b2o3b2o3b2o2b2o$6bo5b2o4bo4bo4bo4bo4bo2b2o$2bo2b2o10b
2o3b2o3b2o3b2o4b2o2bo$3o39b2o$o$3bo2$3bo$o$3o$2bo2b2o3b2o4b2o3b2o3b2o
3b2o4bo$6bo4bo5bo4bo4bo4bob2ob3o$4bo4bo5bo4bo4bo4bo3bo4bo$36bo!

and a p=61x7x5x8 (=p17080) gun in a 63x62 box:

Code: Select all

x = 63, y = 62, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
16bo$14bo$14b2o3$14bo$12b5o$12bo3bo31bo$11b2obob2o6b2o2b2o3b2o3b2o3b2o
5bo7bo$12bo3bo3b2o2bo4bo4bo4bo4bo4b2o5bo$12b5o3bo2b2o4b2o3b2o3b2o3b2o
10b2o2bo$8bo5bo4b2o39b3o$6b5o51bo$6bo3bo48bo$b2o2b2obob2o$2bo3bo3bo48b
o$o5b5o51bo$8bo51b3o$25bo4b2o3b2o3b2o3b2o4b2o3b2o2bo$18b2o3b3ob2obo4bo
4bo4bo5bo4bo$18bo4bo4bo3bo4bo4bo4bo5bo4bo$8b2o10bo5bo$9bo$7bo$20bo$18b
o$10bo7b2o$8b3o$8bo$20bo$18bo$10bo7b2o$8b3o$8bo10b2o$19bo$21bo$8bo9b2o
$8b3o8bo$10bo8b2o2$9bo40bo$9b3o9bo2bo4bo4bo4bo4bo3bo4bo$11bo7bo6bo4bo
4bo4bo4bob2ob3o$19b2o4b2o3b2o3b2o3b2o3b2o4bo$8bo$o5b5o$2bo3bo3bo$b2o2b
2obob2o$6bo3bo$6b5o$8bo5bo41b2o$12b5o9b2o3b2o3b2o3b2o3b2o4b2o2bo$12bo
3bo4b2o4bo4bo4bo4bo4bo4bo2b2o$11b2obob2o3bo5b2o3b2o3b2o3b2o3b2o2b2o$
12bo3bo6bo$12b5o$14bo3$14b2o$14bo$16bo!

Thus, all guns of a period with an integer factorization that contains no large prime numbers can be relatively small (esp. no G-shuttle is required - for large prime numbers I do not know any other solution than using a G/R/snowflake-signal - shuttles)

[2718281828]

Another way to reflect the t-shuttle, here in a p108 (=4x27):

Code: Select all

x = 39, y = 38, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3$23bo$21bo$19bo4$21bo2$17bo$14bo5bo5bo$23bo2$5bo9bo11bo2$6bo4bo21bo$
14bo11bo$7bo21bo4bo2$13bo11bo9bo$24b3o$17bo$14bo5bo$23bo2$19bo4$21bo$
19bo$17bo!

It provides a reasonable spark and is based on
https://catagolue.appspot.com/object/xp ... 4iz5ar6i7e

Edit1:
And a p41 G-shuttle, that contains four small almost p41 guns:

Code: Select all

x = 40, y = 40, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
23bo4$20bo$22bo5b2o$21b2o5bo$30bo$25bo$7bo16b3o$5bo19bo$5b2o17b3o$25bo
$9bobo10b2o$8b5o10bo$9bobo10b2o$o12b3o$5b2o6bobo$6bo$4bo$35bo$33bo$24b
obo6b2o$24b3o12bo$16b2o10bobo$16bo10b5o$16b2o10bobo$14bo$13b3o17b2o$
14bo19bo$13b3o16bo$14bo$9bo$11bo5b2o$10b2o5bo$19bo4$16bo!

[LaundryPizza03]

XOR:

Code: Select all

x = 357, y = 105, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
15$43bobo85bobo$43b3o85b3o12$300bobo$300b3o18bo$319bo$319b2o$43bobo85b
obo$43b3o18bo66b3o18bo78bo$62bo87bo78bo89bo$62b2o86b2o77b2o86b5o$317bo
3bo$316b2obob2o$62bo87bo78bo87bo3bo$60b5o83b5o74b5o85b5o$60bo3bo83bo3b
o74bo3bo87bo$59b2obob2o81b2obob2o72b2obob2o$60bo3bo83bo3bo74bo3bo38b2o
$60b5o83b5o74b5o39bo$62bo87bo78bo40b2o2$13b2o15b2o148b2o15b2o$14bo16bo
149bo16bo94bo$13b2o15b2o148b2o15b2o92bo$291b2o2$36bo87bo78bo$34bo87bo
78bo89bo$34b2o86b2o77b2o86b5o$289bo3bo$288b2obob2o$34bo87bo78bo87bo3bo
$32b5o83b5o74b5o85b5o$32bo3bo83bo3bo74bo3bo87bo15bo$31b2obob2o81b2obob
2o72b2obob2o100b5o$32bo3bo83bo3bo74bo3bo101bo3bo$32b5o83b5o74b5o100b2o
bob2o2b2o$34bo15bo71bo15bo62bo15bo87bo3bo3bo$48b5o83b5o74b5o85b5o5bo$
48bo3bo83bo3bo74bo3bo87bo$47b2obob2o2b2o77b2obob2o2b2o68b2obob2o2b2o
79b2o$48bo3bo3bo79bo3bo3bo70bo3bo3bo81bo$48b5o5bo77b5o5bo68b5o5bo79b2o
$50bo87bo78bo$47b2o86b2o77b2o$48bo87bo78bo90bo$48b2o86b2o77b2o87b5o$
304bo3bo$303b2obob2o$49bo87bo78bo87bo3bo$47b5o83b5o74b5o85b5o$47bo3bo
83bo3bo74bo3bo66bo20bo18bo$46b2obob2o81b2obob2o72b2obob2o57bo5b5o35b5o
$47bo3bo83bo3bo74bo3bo60bo3bo3bo35bo3bo$47b5o83b5o74b5o59b2o2b2obob2o
33b2obob2o2b2o$28bo20bo18bo47bo20bo18bo38bo20bo18bo47bo3bo35bo3bo3bo$
20bo5b5o35b5o37bo5b5o35b5o28bo5b5o35b5o45b5o35b5o5bo$22bo3bo3bo35bo3bo
39bo3bo3bo35bo3bo30bo3bo3bo35bo3bo47bo39bo$21b2o2b2obob2o33b2obob2o2b
2o33b2o2b2obob2o33b2obob2o2b2o24b2o2b2obob2o33b2obob2o2b2o$26bo3bo35bo
3bo3bo39bo3bo35bo3bo3bo30bo3bo35bo3bo3bo$26b5o35b5o5bo37b5o35b5o5bo28b
5o35b5o5bo$28bo39bo47bo39bo38bo39bo!

That's not an XOR gate.

[77topaz]

Yeah, I suppose it's closer to being a NAND, though Danny's sample input patterns don't quite match such a gate either.

[2718281828]

XOR:

Code: Select all

x = 357, y = 105, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
15$43bobo85bobo$43b3o85b3o12$300bobo$300b3o18bo$319bo$319b2o$43bobo85b
obo$43b3o18bo66b3o18bo78bo$62bo87bo78bo89bo$62b2o86b2o77b2o86b5o$317bo
3bo$316b2obob2o$62bo87bo78bo87bo3bo$60b5o83b5o74b5o85b5o$60bo3bo83bo3b
o74bo3bo87bo$59b2obob2o81b2obob2o72b2obob2o$60bo3bo83bo3bo74bo3bo38b2o
$60b5o83b5o74b5o39bo$62bo87bo78bo40b2o2$13b2o15b2o148b2o15b2o$14bo16bo
149bo16bo94bo$13b2o15b2o148b2o15b2o92bo$291b2o2$36bo87bo78bo$34bo87bo
78bo89bo$34b2o86b2o77b2o86b5o$289bo3bo$288b2obob2o$34bo87bo78bo87bo3bo
$32b5o83b5o74b5o85b5o$32bo3bo83bo3bo74bo3bo87bo15bo$31b2obob2o81b2obob
2o72b2obob2o100b5o$32bo3bo83bo3bo74bo3bo101bo3bo$32b5o83b5o74b5o100b2o
bob2o2b2o$34bo15bo71bo15bo62bo15bo87bo3bo3bo$48b5o83b5o74b5o85b5o5bo$
48bo3bo83bo3bo74bo3bo87bo$47b2obob2o2b2o77b2obob2o2b2o68b2obob2o2b2o
79b2o$48bo3bo3bo79bo3bo3bo70bo3bo3bo81bo$48b5o5bo77b5o5bo68b5o5bo79b2o
$50bo87bo78bo$47b2o86b2o77b2o$48bo87bo78bo90bo$48b2o86b2o77b2o87b5o$
304bo3bo$303b2obob2o$49bo87bo78bo87bo3bo$47b5o83b5o74b5o85b5o$47bo3bo
83bo3bo74bo3bo66bo20bo18bo$46b2obob2o81b2obob2o72b2obob2o57bo5b5o35b5o
$47bo3bo83bo3bo74bo3bo60bo3bo3bo35bo3bo$47b5o83b5o74b5o59b2o2b2obob2o
33b2obob2o2b2o$28bo20bo18bo47bo20bo18bo38bo20bo18bo47bo3bo35bo3bo3bo$
20bo5b5o35b5o37bo5b5o35b5o28bo5b5o35b5o45b5o35b5o5bo$22bo3bo3bo35bo3bo
39bo3bo3bo35bo3bo30bo3bo3bo35bo3bo47bo39bo$21b2o2b2obob2o33b2obob2o2b
2o33b2o2b2obob2o33b2obob2o2b2o24b2o2b2obob2o33b2obob2o2b2o$26bo3bo35bo
3bo3bo39bo3bo35bo3bo3bo30bo3bo35bo3bo3bo$26b5o35b5o5bo37b5o35b5o5bo28b
5o35b5o5bo$28bo39bo47bo39bo38bo39bo!

I made this XOR gate, I added multiple inputs to illustrate the repeat time, just a single application looks like this:

Code: Select all

x = 322, y = 61, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4$25bobo85bobo$25b3o18bo66b3o18bo78bo89bo$44bo87bo78bo89bo$44b2o86b2o
77b2o88b2o3$44bo87bo78bo89bo$42b5o83b5o74b5o85b5o$42bo3bo83bo3bo74bo3b
o85bo3bo$41b2obob2o81b2obob2o72b2obob2o83b2obob2o$42bo3bo83bo3bo74bo3b
o85bo3bo$42b5o83b5o74b5o85b5o$44bo87bo78bo89bo2$12b2o165b2o$13bo166bo$
12b2o165b2o3$18bo87bo78bo89bo$16bo87bo78bo89bo$16b2o86b2o77b2o88b2o3$
16bo87bo78bo89bo$14b5o83b5o74b5o85b5o$14bo3bo83bo3bo74bo3bo85bo3bo$13b
2obob2o81b2obob2o72b2obob2o83b2obob2o$14bo3bo83bo3bo74bo3bo85bo3bo$14b
5o83b5o74b5o85b5o$16bo15bo71bo15bo62bo15bo73bo15bo$30b5o83b5o74b5o85b
5o$30bo3bo83bo3bo74bo3bo85bo3bo$29b2obob2o2b2o77b2obob2o2b2o68b2obob2o
2b2o79b2obob2o2b2o$30bo3bo3bo79bo3bo3bo70bo3bo3bo81bo3bo3bo$30b5o5bo
77b5o5bo68b5o5bo79b5o5bo$32bo87bo78bo89bo$29b2o86b2o77b2o88b2o$30bo87b
o78bo89bo$30b2o86b2o77b2o88b2o3$31bo87bo78bo89bo$29b5o83b5o74b5o85b5o$
29bo3bo83bo3bo74bo3bo85bo3bo$28b2obob2o81b2obob2o72b2obob2o83b2obob2o$
29bo3bo83bo3bo74bo3bo85bo3bo$29b5o83b5o74b5o85b5o$10bo20bo18bo47bo20bo
18bo38bo20bo18bo49bo20bo18bo$2bo5b5o35b5o37bo5b5o35b5o28bo5b5o35b5o39b
o5b5o35b5o$4bo3bo3bo35bo3bo39bo3bo3bo35bo3bo30bo3bo3bo35bo3bo41bo3bo3b
o35bo3bo$3b2o2b2obob2o33b2obob2o2b2o33b2o2b2obob2o33b2obob2o2b2o24b2o
2b2obob2o33b2obob2o2b2o35b2o2b2obob2o33b2obob2o2b2o$8bo3bo35bo3bo3bo
39bo3bo35bo3bo3bo30bo3bo35bo3bo3bo41bo3bo35bo3bo3bo$8b5o35b5o5bo37b5o
35b5o5bo28b5o35b5o5bo39b5o35b5o5bo$10bo39bo47bo39bo38bo39bo49bo39bo!

I am not an expert in gates, but I thought it is an XOR gate as it gives:
1&1=0, 1&0=1, 0&1=1, 0&0=0