Bespoke Oscillators/Periodic Catalysts

[squareroot12621]

Here's a p3 non-phase-shifting catalyst, demonstrated on this Herschel descendant:

Code: Select all

x = 45, y = 17, rule = B3/S23
4bo29bo$2b3o27b3o$bo4bo24bo4bo$o3b4o22bo3b4o$4b2ob2o25b2ob2o$bo5bo3b2o
bo2bo13bo5bo$2bo2b2o5bob4o14bo2b2o4b2o$3bo7bo21bo7bobo$11b9o23bo$12bo
7bo22b2o$11b2o3b2obobo$13b5o3bo$11b2obo4b2o$14b4o$13bo4b5o$14b3o2bo3bo
$16b2o4b2o!

An eater 3 works just as well in this case. (Eater 1 is optional.)

Code: Select all

x = 52, y = 26, rule = B3/S23
43bo$42bobo$43bo2$41b5o$41bo4bo$44bo2bo$44b2obo2bo$41bo5bobobo$4bo29b
o5bobo4bo2bo$2b3o27b3o5bo2bo2b2o$bo4bo24bo4bo4b2o$o3b4o22bo3b4o$4b2ob
2o25b2ob2o$bo5bo3b2obo2bo13bo5bo$2bo2b2o5bob4o14bo2b2o5bo$3bo7bo21bo7b
obo$11b9o23bo$12bo7bo22b2o$11b2o3b2obobo$13b5o3bo$11b2obo4b2o$14b4o$13b
o4b5o$14b3o2bo3bo$16b2o4b2o!

[hotcrystal0]

Here's a p3 non-phase-shifting catalyst, demonstrated on this Herschel descendant:

Code: Select all

x = 45, y = 17, rule = B3/S23
4bo29bo$2b3o27b3o$bo4bo24bo4bo$o3b4o22bo3b4o$4b2ob2o25b2ob2o$bo5bo3b2o
bo2bo13bo5bo$2bo2b2o5bob4o14bo2b2o4b2o$3bo7bo21bo7bobo$11b9o23bo$12bo
7bo22b2o$11b2o3b2obobo$13b5o3bo$11b2obo4b2o$14b4o$13bo4b5o$14b3o2bo3bo
$16b2o4b2o!

An eater 3 works just as well in this case. (Eater 1 is optional.)

Code: Select all

x = 52, y = 26, rule = B3/S23
43bo$42bobo$43bo2$41b5o$41bo4bo$44bo2bo$44b2obo2bo$41bo5bobobo$4bo29b
o5bobo4bo2bo$2b3o27b3o5bo2bo2b2o$bo4bo24bo4bo4b2o$o3b4o22bo3b4o$4b2ob
2o25b2ob2o$bo5bo3b2obo2bo13bo5bo$2bo2b2o5bob4o14bo2b2o5bo$3bo7bo21bo7b
obo$11b9o23bo$12bo7bo22b2o$11b2o3b2obobo$13b5o3bo$11b2obo4b2o$14b4o$13b
o4b5o$14b3o2bo3bo$16b2o4b2o!

Yes, but that not always the case, as this shows:

Code: Select all

x = 51, y = 26, rule = B3/S23
42bo$41bobo$42bo2$40b5o$40bo4bo$43bo2bo$43b2obo2bo$40bo5bobobo$bobo27b
obo5bobo4bo2bo$4o26b4o5bo2bo2b2o$5bo29bo4b2o$3b4o26b4o$3b2ob2o25b2ob2o
$6bo3b2obo2bo19bo$4b2o5bob4o17b2o$b3o6bo20b3o$10b9o$11bo7bo$10b2o3b2o
bobo$12b5o3bo$10b2obo4b2o$13b4o$12bo4b5o$13b3o2bo3bo$15b2o4b2o!

[squareroot12621]

Yes, but that not always the case, as this shows:

Code: Select all

x = 51, y = 26, rule = B3/S23
42bo$41bobo$42bo2$40b5o$40bo4bo$43bo2bo$43b2obo2bo$40bo5bobobo$bobo27b
obo5bobo4bo2bo$4o26b4o5bo2bo2b2o$5bo29bo4b2o$3b4o26b4o$3b2ob2o25b2ob2o
$6bo3b2obo2bo19bo$4b2o5bob4o17b2o$b3o6bo20b3o$10b9o$11bo7bo$10b2o3b2o
bobo$12b5o3bo$10b2obo4b2o$13b4o$12bo4b5o$13b3o2bo3bo$15b2o4b2o!

Yes, but you can put an eater 2 here:

Code: Select all

x = 45, y = 17, rule = B3/S23
bobo27bobo$4o26b4o$5bo29bo$3b4o26b4o$3b2ob2o25b2ob2o$6bo3b2obo2bo19bo
$4b2o5bob4o17b2o$b3o6bo20b3o4b2obo$10b9o19b2ob3o$11bo7bo24bo$10b2o3b2o
bobo17b2ob3o$12b5o3bo18bobo$10b2obo4b2o19bobo$13b4o23bo$12bo4b5o$13b3o
2bo3bo$15b2o4b2o!

[yujh]

These are two very different reactions, so the catalysts do not function the same. They do not necessarily function the same when they have the same outcomes.

[hotcrystal0]

General-looking p3 catalyst that might be useful:

Code: Select all

x = 15, y = 16, rule = B3/S23
2b2o$bo2bo$b2obo2b2o$7bobo$b2ob4obo3b2o$obo3bo2bobo2bo$o3b3obo2b3o$b3o
8bo$5b6o2bo$b4o5b3o$bo3b3o3b2o$4bo2bo$4b2o2$8b3o$8bo!

Much smaller, using a P3 sparker stolen from a P39 and a weld:

Code: Select all

x = 13, y = 16, rule = B3/S23
11b2o$11bo$8b2obo$7bo2bo$bo5b2o$b3o4b2o$4bo2bobo$3bo4bob3o$3b4o2bo$6b
3o$b3o3b2o$o2bo$2o2$4b3o$4bo!

It also allows the P8 reflector to work at P3:

Code: Select all

x = 26, y = 20, rule = B3/S23
b2o$2bo$bo$b2o$3bo$b3o2b2o$o5b2o$2o11b2o$13bobo4b2o$15bo4bo$14b2ob2ob
o$10b2o5bobo$10b2o5bo$2b2o12b2o$bobo11b2o2bob2o$3bo11b2obob2obo$11b2o
4bob2o2bo$11bobo4bo3bo$13bo4bo4b3o$13b2o3bo6bo!

P4 version:

Code: Select all

x = 21, y = 17, rule = B3/S23
11b2o$12bo$11bo7b2o$11b2o6bo$16b2obo$8bo4bo2bobo$4b2obobobob2o$3bobob
o3bo2b4o$2bo4b2o2bobo4bo$3b4obob4obob2o2$b3o2bobo3bo$o2bo8b2o$2o2$4b3o
$4bo!

[C28]

this p4 weak domino sparker can apparently act like an eater 1 in certain cases

Code: Select all

x = 15, y = 13, rule = B3/S23
10b3o2$9bo2b2o$7bobo$6bo5bo$6bo4bo$6bo4b2o$8b2ob2o$9bo4bo$9bobob2o$3o
7b2obo$bo11bo$b3o9b2o!

[affamatodidio]

If someone was able to mitigate the birth of the gray cells, we would have a p2 180 degree reflector, independent of timing.

Code: Select all

x = 48, y = 20, rule = extendedlife
.2A25.2A$2.A26.A$.A26.A$.2A25.2A$3.A26.A13.A$.3A2.2A8.3A9.3A2.2A9.A$A
5.2A19.A5.2A7.A2.A$2A13.2A2.A7.2A$19.A22.2A2.2A$12.E.A2.A.A19.E5.A$15.
A25.3A$10.2A3.A21.2A$10.2A25.2A$2.2A12.A12.2A11.A$.A.A10.A.A11.A.A12.
2A$3.A11.A.A12.A10.2A$11.2A2EA22.2A2E.A$11.A.AE23.A.AE$13.A26.A$13.2A
25.2A!

[affamatodidio]

Here's a p3 non-phase-shifting catalyst, demonstrated on this Herschel descendant:

Code: Select all

x = 45, y = 17, rule = B3/S23
4bo29bo$2b3o27b3o$bo4bo24bo4bo$o3b4o22bo3b4o$4b2ob2o25b2ob2o$bo5bo3b2o
bo2bo13bo5bo$2bo2b2o5bob4o14bo2b2o4b2o$3bo7bo21bo7bobo$11b9o23bo$12bo
7bo22b2o$11b2o3b2obobo$13b5o3bo$11b2obo4b2o$14b4o$13bo4b5o$14b3o2bo3bo
$16b2o4b2o!

Sorry for the doublepost, but this specific reaction is the same as an eater1+cell birth mitigation:

Code: Select all

x = 45, y = 17, rule = B3/S23
4bo29bo7bo$2b3o27b3o7bobo$bo4bo24bo4bo4bobo$o3b4o22bo3b4o5bo$4b2ob2o25b
2ob2o$bo5bo3b2obo2bo13bo5bo$2bo2b2o5bob4o14bo2b2o4b2o$3bo7bo21bo7bobo
$11b9o23bo$12bo7bo22b2o$11b2o3b2obobo$13b5o3bo$11b2obo4b2o$14b4o$13bo
4b5o$14b3o2bo3bo$16b2o4b2o!

... and as it only relies on a cell suppression, it can work at a great many periods.

Code: Select all

x = 15, y = 11, rule = LifeHistory
.4B$4BA2B$2B3A3B$.A3B.A2B2.D$A2.B4A2B$2.2B2AB2A2B$.A5BA3B$2.A2.2A2B.B
2C$3.A2.3B.BC.C$7.B5.C$13.2C!

I mean, even a corner dot sparker like mold works.

[Sokwe]

this specific reaction is the same as an eater1+cell birth mitigation:

Code: Select all

x = 45, y = 17, rule = B3/S23
4bo29bo7bo$2b3o27b3o7bobo$bo4bo24bo4bo4bobo$o3b4o22bo3b4o5bo$4b2ob2o25b
2ob2o$bo5bo3b2obo2bo13bo5bo$2bo2b2o5bob4o14bo2b2o4b2o$3bo7bo21bo7bobo
$11b9o23bo$12bo7bo22b2o$11b2o3b2obobo$13b5o3bo$11b2obo4b2o$14b4o$13bo
4b5o$14b3o2bo3bo$16b2o4b2o!

Personally, I wouldn't say the reaction is the same in this case, but rather the outcome is the same. It's easy enough to contrive an example where the outcome is different, which better highlights the difference in the reactions:

Code: Select all

x = 32, y = 17, rule = B3/S23
29bo$o22bo5bobo$28bobo$b2o21b2o4bo$2b2o21b2o$b2o2b2obo2bo12b2o$bo4bob
4o12bo3b2o$5bo22bobo$6b8o16bo$5bo8bo15b2o$8b2ob3obo$5b2o4bobobo$8bo3b
3o$6bob4o$7bo4b5o$8b3o2bo3bo$10b2o4b2o!

Even if the reactions were the same, the p3 has better clearance on one side, which would still make it potentially useful.

Sorry for the doublepost

Double posts are fine when the posts are weeks apart and/or concern different topics.

[pzq_alex]

Crossposted from O.D.T., a p4 dot(duoplet, thumb) + ??? sparker that can restore a block that has been turned into a blinker:

Edit by Sokwe: the method and large original solution was found by Arie Paap on October 8, 2018. The smaller form shown here was found by Matthias Merzenich on March 17, 2023.

Code: Select all

x = 20, y = 32, rule = B3/S23
2b2ob2o$3bobo2b2o$2bo3b2o2bo$3b3o3bobo$5bo4bo$9bo5bo$9bo3b3o$4bo2bo4b
o$o2bobo3bo3bo$4o2bo3b4o$5bo2bo5b2o$2b5o2b2o2bo2bo$2bo3b3o2bo2bobo$3b
obo4bob2obob2o$4bo2bo2bo4bo2bo$5bob2obobobobo$o4b2o3bo4bo$o4b2o3bob3o
$o4bo4bobo$2bo5bob2ob4o$3bobob2o3bobo2bo$5b2o2bobo4bobo$5b3o3bob2o3bo
$7bo3bob2ob2o$6b2obob2o2bo$6b2ob2o3bo2b3o$7b2o3b2ob2o2bo$4bo5b2obo2bo
$4b6o4b2o$9bo$6b3o$6bo!

[C28]

the p2 catalyst from the pi-heptomino hasslers glider_rider posted.

Code: Select all

x = 21, y = 27, rule = B3/S23
13bo$14bo2bo$14b3o3$5b2o$6bo$6bobo3b3o$7b2o$16bo$16bo$16bo2$12b3o$17b
2o$9b2o6bo$4b2o2bo2bo6b3o$bo2bo4bobo8bo$obobo5bo$bo2bob2o$4bo2bo$5bo4b
o$6b5o2$8bo$7bobo$8bo!

[Entity Valkyrie 2]

This version of the traffic stop can be used in two ways; even (left) and odd (right).

Code: Select all

x = 39, y = 21, rule = B3/S23
31b2obo$9bobo20b3o$9b3o21bo$10bo$b2o20b2o$2bo6bo14bo6bo$2bobo4bo14bobo
4bo$3b2o4bo15b2o4bo2$11b3o19b3o2$9bo21bo$9bo21bo$2o7bo3b2o7b2o7bo3b2o$
o2bob2o6bo8bo2bob2o6bo$b3obobo6b3o6b3obobo6b3o$5bobo2bo5bo10bobo2bo5bo
$3b3ob4o14b3ob4o$2bo3bo17bo3bo$2b2o2bobo15b2o2bobo$7b2o20b2o!

In case this catalyst appears in the wrong phase, one can flip its phase with just a glider:

Code: Select all

x = 17, y = 21, rule = B3/S23
13bo$11b2o$12b2o2$b2o$2bo6bo$2bobo4bo$3b2o4bo2$11b3o2$9bo$9bo$2o7bo3b
2o$o2bob2o6bo$b3obobo6b3o$5bobo2bo5bo$3b3ob4o$2bo3bo$2b2o2bobo$7b2o!

[hotcrystal0]

This version of the traffic stop can be used in two ways; even (left) and odd (right).

Code: Select all

x = 39, y = 21, rule = B3/S23
31b2obo$9bobo20b3o$9b3o21bo$10bo$b2o20b2o$2bo6bo14bo6bo$2bobo4bo14bobo
4bo$3b2o4bo15b2o4bo2$11b3o19b3o2$9bo21bo$9bo21bo$2o7bo3b2o7b2o7bo3b2o$
o2bob2o6bo8bo2bob2o6bo$b3obobo6b3o6b3obobo6b3o$5bobo2bo5bo10bobo2bo5bo
$3b3ob4o14b3ob4o$2bo3bo17bo3bo$2b2o2bobo15b2o2bobo$7b2o20b2o!

In case this catalyst appears in the wrong phase, one can flip its phase with just a glider:

Code: Select all

x = 17, y = 21, rule = B3/S23
13bo$11b2o$12b2o2$b2o$2bo6bo$2bobo4bo$3b2o4bo2$11b3o2$9bo$9bo$2o7bo3b
2o$o2bob2o6bo$b3obobo6b3o$5bobo2bo5bo$3b3ob4o$2bo3bo$2b2o2bobo$7b2o!

Observe this: when the top blinker is turned into a block on the “+” phase, it triggers the even reaction. When it is turned into a block on the “o” phase, it triggers the odd instead.

Code: Select all

 #C [[ T 6 PAUSE 1 T 7 PAUSE 1 ]]
x = 39, y = 27, rule = LifeHistory
3$35.A$34.A$34.2A$34.2A$9.A.A20.3A$9.3A21.A$10.A$.2A20.2A$2.A6.A14.A6.
A$2.A.A4.CD13.A.A4.CD$3.2A4.CD14.2A4.CD2$11.3A19.3A2$9.A21.A$9.A21.A$
2A7.A3.2A7.2A7.A3.2A$A2.A.2A6.A8.A2.A.2A6.A$.3A.A.A6.3A6.3A.A.A6.3A$5.
A.A2.A5.A10.A.A2.A5.A$3.3A.4A14.3A.4A$2.A3.A17.A3.A$2.2A2.A.A15.2A2.A
.A$7.2A20.2A!

[C28]

Blonker seems to be able to act as a p6 version of the odd traffic stop

Code: Select all

x = 48, y = 19, rule = B3/S23
4b2o$4bobo2b2o$bo4bo3bo$b5ob3o$5bobo8bo$b3obobo6b3o$o2bob2o6bo$2o11b2o
14bobobo$8b3o17bo2bo4b2o$28b2o3bo2b2o$12bo20b2ob2o$12bo21bobo$12bo21b
3o$4b2o29b2obo$3bobo2b3o27b2o$3bo12b3o26b3o$2b2o12b3o26b3o$15bobo26bo
bo$15b2o27b2o!

[hotcrystal0]

Blonker seems to be able to act as a p6 version of the odd traffic stop

Code: Select all

x = 48, y = 19, rule = B3/S23
4b2o$4bobo2b2o$bo4bo3bo$b5ob3o$5bobo8bo$b3obobo6b3o$o2bob2o6bo$2o11b2o
14bobobo$8b3o17bo2bo4b2o$28b2o3bo2b2o$12bo20b2ob2o$12bo21bobo$12bo21b
3o$4b2o29b2obo$3bobo2b3o27b2o$3bo12b3o26b3o$2b2o12b3o26b3o$15bobo26bo
bo$15b2o27b2o!

A not-that-large oscillator found as a partial with WLS and completed by hand also works.

Code: Select all

x = 75, y = 28, rule = B3/S23
32b2o$31bobo$31bobob2o$32bobobo$34bo$32bo2bo$35bo$35bo$35bo$4b2o24b2o
3b2obo$4bobo2b2o19b2o3bo3bo$bo4bo3bo22bobo2bo$b5ob3o21bob2obo$5bobo8b
o14bo3b2o$b3obobo6b3o16b4o$o2bob2o6bo19bo$2o11b2o15b2o5b2o17bobobo$8b
3o19b2obobo2b2o15bo2bo4b2o$32b2ob2ob2o15b2o3bo2b2o$12bo17bo7bo21b2ob2o
$12bo17b7o24bobo$12bo17bo5bo24b3o$4b2o24bo3b2o26b2obo$3bobo2b3o18b2o3b
o2b3o25b2o$3bo12b3o26b3o24b3o$2b2o12b3o26b3o24b3o$15bobo26bobo24bobo$
15b2o27b2o25b2o!

[EvinZL]

version of the p33 gun catalyst with different clearance

Code: Select all

x = 15, y = 13, rule = B3/S23
bo$bo$2o2bo8bo$o2b2o4bob2obo$3b2o2bo2bo2bo$4b2ob2obobo$2bo5bobob2o$2bo
bobobo2bo$2bo2b3obobo$7bob2o$8bo$9bobo$10b2o!

even better

Code: Select all

x = 20, y = 14, rule = B3/S23
bo8bo2b2o$bo7bobo2b3o$2o2bo4bob2o4bo$o2b2o2bo5b4o$3b2o6b2o6bo$4b2ob2o
4b7o$2bo3bo3b2o$2bo3bo6bobobo$3b2obo2b2obo3b2o$10bo$10bo$8b2obo$7bo2bo
$8b2o!

It is the only version of the catalyst that supports this reflector:

Code: Select all

x = 44, y = 29, rule = B3/S23
bo4b2o$obo2bobo$bo$4b3o$8b2o$8b2o4$4bobo3b4o$4bo2bo2bo2bo$4bo5b3o10b2o
$5b2o10b3o$16bo2bo2bo2bo$16b4o4bo$34bo2b2o$33bobo2b3o$28bo4bob2o4bo$
27b2o2bo5b4o$27b2o6b2o6bo$28b2ob2o4b7o$26bo3bo3b2o$22b2o2bo3bo6bobobo$
22b2o3b2obo2b2obo3b2o$34bo$34bo$20b2o10b2obo$20bobo8bo2bo$20bo11b2o!

[hotcrystal0]

How to get the traffic stop to work at odd periods, even those lower than 36:

Code: Select all

x = 29, y = 44, rule = B3/S23
13bo$12b3o$11b2ob2o$2o4bo3b3ob3o$obo3bo3b3ob3o$2bo3bo3b3ob3o$b2o7b3ob
3o$11b2ob2o$12b3o$13bo11$14b2o7b2o$14b2o7b2o6$11b2o13b2o$11b3o11b3o$
11bo2b2o7b2o2bo$2o4bo3b2o3bo7bo3b2o$obo3bo3b2o3bo7bo3b2o$2bo3bo3b2o3bo
7bo3b2o$b2o7b2o3bo7bo3b2o$11bo2b2o7b2o2bo$11b3o11b3o$11b2o13b2o6$14b2o
7b2o$14b2o7b2o!

That may not be useful, because it requires a domino speaker equal to or half of the period. Is there any odd-period catalyst that can actually do the job?