These oscillators are actually Herschel tracks

[nokangaroo]

The following oscillators from Golly's "DRH-oscillators" example collection are
actually degenerated Herschel tracks:

Code: Select all

x = 84, y = 78, rule = B3/S23
9$69b2ob2obo$68b2o2b2ob2o$76bo$13bob2o8bob2o22b2o15b2o$13b2obo8b2obo
22b2o15b2o5b2o$11b2o10b2o50b2o$12bo9bobo43bo$11bo10bo45b2ob2o2b2o$11b
2o8b2o17bo2bo17b2obo4bob2ob2o$13bob2o6b2obo17bo16bo3bo$13b2obo6bob2o
18b2o15b3o$17b2o2b2o4b2o10bob2o6bo$18bo2bo5bo11bo2bo3bo$17bo4bo5bo9bo
3bob3o$17b2o2b2o4b2o8bo11bo13b2o$13bob2o6b2obo13b3obo3bo14b2o$13b2obo
6bob2o13bo3bo2bo$37bo6b2obo$40b2o$42bo$43bo2bo23$13bob2o6b2obo27bo$13b
2obo6bob2o26bob2o$17b2o8b2o24bob2o$18bo8bo26b2o$17bo10bo$17b2o8b2o14b
2o12b2o$15b2o6b2obo16b2o12b2o$16bo6bob2o$15bo5b2o$15b2o4bo20bobo$13b2o
7bo18bo18b2o$14bo6b2o13b2o2bo4bo10b2obo2bob2o$13bo9b2obo9b2obo2bob2o
10b2o2bo4bo$13b2o8bob2o13b2o19bo$62bobo!

The Herschels could be fed into a Herschel track. For the p56 oscillator this
is shown below:

Code: Select all

x = 141, y = 63, rule = B3/S23
45b2ob2obo$44b2o2b2ob2o$52bo$27b2o15b2o$27b2o15b2o5b2o$51b2o$35bo8bo$
36b2o6b2ob2o2b2o$16bo2bo17b2o6bob2ob2o$20bo6bo11bo$21b2o4b2o5b5o$15bob
2o6bo11bo$15bo2bo3bo$14bo3bob3o$13bo11bo13b2o$16b3obo3bo14b2o$16bo3bo
2bo$13bo6b2obo$16b2o$18bo$19bo2bo11$67bo49bo$40bo24b3o22bo24b3o$40b3o
21bo25b3o21bo$43bo20b2o27bo20b2o$42b2o48b2o3$24bo49bo$24b3o47b3o$27bo
49bo58b2o$26b2o11b2o35b2o11b2o42bo$39b2o48b2o41bobo2b2o$130bobob3o2bo$
14b2o114bo2b6o$14b2o117b2ob2o$132b6o2bo$22bo108bo2b3obobo$23b2o107b2o
2bobo$3bo2bo17b2o111bo$7bo6bo11bo37b2o48b2o17b2o$8b2o4b2o5b5o25b2o11b
2o35b2o11b2o$2bob2o6bo11bo27bo49bo$2bo2bo3bo39b3o47b3o$bo3bob3o39bo49b
o$o11bo13b2o$3b3obo3bo14b2o$3bo3bo2bo56b2o48b2o$o6b2obo28b2o27bo20b2o
27bo$3b2o10b2o22bo25b3o21bo25b3o$5bo10bo23b3o22bo24b3o22bo$6bo2bo3b3o
26bo49bo$13bo!

(The galaxy at the end is just for eating the Herschel; it would be nice though
to actually turn the Herschel around and send it back through the track).
For the p72 oscillator:

Code: Select all

x = 139, y = 67, rule = B3/S23
67bo$66b2o$65bo$65b4obo$66bobob2o$67b2obo2$78b2o$78b2o3$78bobo$61b2o
18bo$57b2obo2bob2o10bo4bo2b2o$57bo4bo2b2o10b2obo2bob2o$61bo19b2o$58bob
o16$78bo49bo$51bo24b3o22bo24b3o$51b3o21bo25b3o21bo$54bo20b2o27bo20b2o$
53b2o48b2o3$35bo49bo49bo$35b3o47b3o47b3o$38bo49bo49bo$37b2o11b2o35b2o
11b2o35b2o$50b2o48b2o4$21b2o$21b2o2$10bo$9b2o64b2o48b2o$8bo53b2o11b2o
35b2o11b2o$8b4obo49bo49bo$9bobob2o45b3o47b3o$10b2obo46bo49bo3$28b2o48b
2o48b2o$29bo20b2o27bo20b2o27bo$26b3o21bo25b3o21bo25b3o$26bo24b3o22bo
24b3o22bo$4b2o47bo49bo$2obo2bob2o$o4bo2b2o$4bo$bobo!

Herschels seem to be rather common - in the following oscillator (which was not
built with Herschels in mind) delete the marked part to see the Herschel:

Code: Select all

x = 156, y = 73, rule = B3/S23
105bo$26bo49bo26b3o$3bo22b3o24bo22b3o23bo$b3o25bo21b3o25bo22b2o$o27b2o
20bo27b2o33bobobobobobobobo$2o48b2o60bo15bo$91b2o$91b2o19bo2b2o3b2o6bo
$19bo49bo45b2o2bob3o$17b3o47b3o42bo6bo4bo3bo$16bo49bo48b4ob2o2bo$3b2o
11b2o35b2o11b2o44bo2bo2bo3bob2o2bo$3b2o48b2o63bobobobo$112bo6b2obobo3b
o$113bo9bo$114bo13bo$109b2o4bobo7bobo$110bo8bo$110bobo5b2o$111b2o$28b
2o48b2o45bo$28b2o11b2o35b2o11b2o33bo$41bo49bo32b3o$42b3o47b3o$44bo49bo
$114b3o$116bo4b2o$25b2o48b2o38bo5bo24bo$3b2o20bo27b2o20bo46b3o19b3o$4b
o21b3o25bo21b3o45bo18bo$b3o24bo22b3o24bo64b2o$bo49bo84bo$137bo$135b3o
13b2ob2o$152bob2o$145b2o5bo$94bo8b3o38bo6b2o$92b5o8bo5b2o31b2obo2bo2b
2o$91bo5bo6bo6bo37b2obo2bo$91bo2b3o12bobo23b2o13bobob2o$90b2obobo13b2o
23bobo12b3o2bo$90bo2bob2o37bo6bo6bo5bo$91b2o2bo2bob2o31b2o5bo8b5o$93b
2o6bo38b3o8bo$93bo5b2o$90b2obo$90b2ob2o13b3o$108bo$109bo$101b2o$102bo
18bo$99b3o19b3o$99bo24bo5bo$123b2o4bo$129b3o3$119b3o$119bo$120bo$133b
2o$126b2o5bobo$126bo8bo$135b2o2$122bo$121bobob2o$121bobobobo$120b2obo
3bo2bo$121bo2b2ob4o$121bo4bo$122b3obo2b2o$124b2o3b2o!

I don't know if this is useful, or new; it just struck me as odd.
Edit:
The last pattern can actually be simplified:

Code: Select all

x = 125, y = 39, rule = B3/S23
105bo$26bo49bo26b3o$3bo22b3o24bo22b3o23bo$b3o25bo21b3o25bo22b2o$o27b2o
20bo27b2o$2o48b2o$91b2o$91b2o$19bo49bo$17b3o47b3o$16bo49bo$3b2o11b2o
35b2o11b2o$3b2o48b2o4$109b2o$110bo8bo$110bobo5b2o$111b2o$28b2o48b2o$
28b2o11b2o35b2o11b2o$41bo49bo$42b3o47b3o$44bo49bo$114b3o$116bo4b2o$25b
2o48b2o38bo5bo$3b2o20bo27b2o20bo46b3o$4bo21b3o25bo21b3o45bo$b3o24bo22b
3o24bo$bo49bo5$103b3o$105bo$104bo!

[Kazyan]

Good pattern-recognition. Life study has been going on long enough that some old discoveries fit into modern technology--sometimes by accident. For example, one of the newer stable Herschel tracks is actually one half of that p72 oscillator:

Code: Select all

x = 28, y = 21, rule = B3/S23
o$3o$3bo$2b2o4$9bo$7b2obo$7b2obo$8b2o2$5b2o12b2o$5b2o12b2o3$7b2o10bobo
$3b2obobo13bo$3bob2obobo7bo4bo2b2o$9b2o7b2obo2bob2o$22b2o!

It's currently used somewhere in the gun collection to reduce bounding box.

[nokangaroo]

Incidentally, this gives more variants of this oscillator, which can be
extended ad infinitum (I suppose that's trivial, but this is a *game*, right?)

Code: Select all

x = 160, y = 111, rule = B3/S23
75b2o4b2o$69bob2obobo4bobob2obo$69b2obobo8bobob2o$73b2o8b2o4$70b3o$2bo
24bo19bo23b2o$2b3o20b3o19b3o20b3o7bob2o$5bo18bo25bo19b2o7b2obobo$4b2o
18b2o23b2o22bo6bob4o$9b3o73bo$9bobo43bo27b2o$11b2obo39b2o27bo$9b3obo
39bo$9bobo3b2o36b4obo6bo22b2o$11bo4bo37bobob2o7b2o19bo$16bo38b2obo7b3o
20b3o$11bo2bo51b2o23bo$11b3o7b2o43b3o$21b2o3$9b2o8b2o33b2o8b2o$5b2obob
o8bobob2o25b2obobo8bobob2o$5bob2obobo4bobob2obo25bob2obobo4bobob2obo$
11b2o4b2o37b2o4b2o11$78b2o4b2o30b2o4b2o$72bob2obobo4bobob2obo18bob2obo
bo4bobob2obo$72b2obobo8bobob2o18b2obobo8bobob2o$76b2o7bobo26b2o7bobo2$
b2o24b2o20b2o$b2o23bo2bo18bobo23b2o9bobo24b2o9bobo$b2o26bo17b3o24b2o
10b2o24b2o10b2o$bo27bo17b2o$obo23b2obo20b2o28bo4bobo30bo4bobo$ob2o22b
2o21b3o27b2o6b2o28b2o6b2o$79bob3obobo29bob3obobo$83bobo35bobo$b2o24b2o
20b2o34bo37bo8b2o$b2o19bo4b2o20b2o8bo37bo34b2o$11bo9bobo35bobo35bobo$
9b2obo9b3o32bobob3obo29bobob3obo$9b2obo43b2o6b2o28b2o6b2o27b3o$10b2o9b
2o34bobo4bo30bobo4bo28b2o$21bo112b2o$7b2o12bo35b2o10b2o24b2o10b2o24b3o
$7b2o48bobo9b2o24bobo9b2o23bobo$132b2o2$9b2o8b2o36bobo7b2o26bobo7b2o$
5b2obobo8bobob2o28b2obobo8bobob2o18b2obobo8bobob2o$5bob2obobo4bobob2ob
o28bob2obobo4bobob2obo18bob2obobo4bobob2obo$11b2o4b2o40b2o4b2o30b2o4b
2o11$67bobo29bobo29bobo$70bo19b2o10bo19b2o10bo19b2o$28b2o2bobo31bo4bo
2b2o10b2obo2bob2o2bo4bo2b2o10b2obo2bob2o2bo4bo2b2o10b2obo2bob2o$32bo2b
o30b2obo2bob2o10bo4bo2b2o2b2obo2bob2o10bo4bo2b2o2b2obo2bob2o10bo4bo2b
2o$30bobob4o32b2o18bo11b2o18bo11b2o18bo$32bo2b2obo48bobo29bobo29bobo$
30b2o5b2o$30bo$31bobo53b2o30b2o30b2o$30b2obo8b2o43b2o30b2o30b2o$32bo9b
2o$76b2obo28b2obo28b2obo$75bobob2o26bobob2o26bobob2o$2bobo37bobo29b4ob
o26b4obo26b4obo$5bo19b2o18bo28bo31bo31bo$bo4bo2b2o10b2obo2bob2o10bo4bo
2b2o24b2o30b2o30b2o$b2obo2bob2o10bo4bo2b2o10b2obo2bob2o25bo31bo31bo$5b
2o18bo19b2o$22bobo44bo31bo31bo$69b2o30b2o30b2o$71bo31bo31bo$22b2o42bob
4o26bob4o26bob4o$22b2o41b2obobo26b2obobo26b2obobo$66bob2o28bob2o28bob
2o$11b2obo$10bobob2o41b2o30b2o30b2o$9b4obo42b2o30b2o30b2o$9bo$10b2o$
11bo44bobo29bobo29bobo$55bo18b2o11bo18b2o11bo18b2o$50b2o2bo4bo10b2obo
2bob2o2b2o2bo4bo10b2obo2bob2o2b2o2bo4bo10b2obo2bob2o$50b2obo2bob2o10b
2o2bo4bo2b2obo2bob2o10b2o2bo4bo2b2obo2bob2o10b2o2bo4bo$54b2o19bo10b2o
19bo10b2o19bo$76bobo29bobo29bobo!

Edit:
p60-Simkin-oscillator:

Code: Select all

x = 171, y = 109, rule = B3/S23
149bo$140b2o5b3o$141bo4bo$141bobo3bo$25bo116bobo3bo$16b2o5b3o117bo3b2o
$17bo4bo$17bobo3bo$18bobo3bo77bo$19bo3b2o68b2o5b3o24b2o5b2o11bo$94bo4b
o27b2o5b2o9b3o$94bobo3bo44bobo$20bo74bobo3bo29b2o12bo$3b2o5b2o5b5o74bo
3b2o29b2o$3b2o5bo11bo$20b2o34bo$7b2o10b2o26b2o5b3o$7b2o9bo29bo4bo26b2o
5b2o8b2o2bobo50b2o$48bobo3bo25b2o5b2o10b2o2bo37bo12b2o$49bobo3bo40bo2b
2o2bo35bobo$50bo3b2o28b2o10bobo2b2o36b3o9b2o5b2o$20bo9b2o52b2o53bo11b
2o5b2o$18b2o10b2o$17b2o$16bo11bo5b2o5b2o$17b5o5b2o5b2o5b2o9b2o53b2o29b
2o3bo$18bo32b2o37b2o2bobo10b2o29bo3bobo$38b2o13bo3b2o30bo2b2o2bo42bo3b
obo$38b2o3bo12b2ob2o28bo2b2o10b2o5b2o27bo4bo$19bo21b2obo11b2o2bo28bobo
2b2o8b2o5b2o24b3o5b2o$2b2o5b2o5b5o19bo3bo11bo3bo76bo$2b2o5bo11bo18bo2b
2o11bob2o$19b2o19b2ob2o12bo3b2o$6b2o10b2o22b2o3bo13b2o$6b2o9bo30b2o29b
2o5b2o8b2o2bobo$47b2o9b2o5b2o12b2o5b2o10b2o2bo$58b2o5b2o28bo2b2o2bo$
83b2o10bobo2b2o$19bo9b2o52b2o$17b2o10b2o$16b2o$15bo11bo5b2o5b2o$16b5o
5b2o5b2o5b2o9b2o53b2o$17bo32b2o37b2o2bobo10b2o$37b2o13bo3b2o30bo2b2o2b
o60bo$37b2o3bo12b2ob2o28bo2b2o10b2o5b2o35b2o5b3o$18bo21b2obo11b2o2bo
28bobo2b2o8b2o5b2o36bo4bo$b2o5b2o5b5o19bo3bo11bo3bo88bobo3bo$b2o5bo11b
o18bo2b2o11bob2o90bobo3bo$18b2o19b2ob2o12bo3b2o88bo3b2o$5b2o10b2o22b2o
3bo13b2o$5b2o9bo30b2o29b2o5b2o8b2o2bobo$46b2o9b2o5b2o12b2o5b2o10b2o2bo
$57b2o5b2o28bo2b2o2bo32b2o5b2o11bo$82b2o10bobo2b2o33b2o5b2o9b3o$18bo9b
2o52b2o68bobo$16b2o10b2o108b2o12bo$15b2o121b2o$14bo11bo5b2o5b2o$15b5o
5b2o5b2o5b2o9b2o53b2o$16bo32b2o37b2o2bobo10b2o$36b2o13bo3b2o30bo2b2o2b
o66b2o$36b2o3bo12b2ob2o28bo2b2o10b2o5b2o37bo12b2o$17bo21b2obo11b2o2bo
28bobo2b2o8b2o5b2o35bobo$2o5b2o5b5o19bo3bo11bo3bo87b3o9b2o5b2o$2o5bo
11bo18bo2b2o11bob2o88bo11b2o5b2o$17b2o19b2ob2o12bo3b2o$4b2o10b2o22b2o
3bo13b2o$4b2o9bo30b2o29b2o5b2o8b2o2bobo$45b2o9b2o5b2o12b2o5b2o10b2o2bo
$56b2o5b2o28bo2b2o2bo35b2o5b2o11bo$81b2o10bobo2b2o36b2o5b2o9b3o$17bo9b
2o52b2o71bobo$15b2o10b2o111b2o12bo$14b2o124b2o$13bo11bo5b2o5b2o$14b5o
5b2o5b2o5b2o9b2o53b2o$15bo32b2o37b2o2bobo10b2o$35b2o13bo3b2o30bo2b2o2b
o69b2o$35b2o3bo12b2ob2o28bo2b2o10b2o5b2o40bo12b2o$11b2o3bo21b2obo11b2o
2bo28bobo2b2o8b2o5b2o38bobo$11bo3bobo19bo3bo11bo3bo90b3o9b2o5b2o$12bo
3bobo18bo2b2o11bob2o91bo11b2o5b2o$13bo4bo18b2ob2o12bo3b2o$10b3o5b2o19b
2o3bo13b2o28b2o3bo$10bo34b2o41bo3bobo$44b2o9b2o5b2o25bo3bobo$55b2o5b2o
26bo4bo42b2o5b2o11bo$87b3o5b2o41b2o5b2o9b3o$87bo68bobo$142b2o12bo$42b
2o3bo94b2o$42bo3bobo$43bo3bobo$44bo4bo$41b3o5b2o114b2o$41bo110bo12b2o$
150bobo$150b3o9b2o5b2o$150bo11b2o5b2o4$149b2o3bo$149bo3bobo$150bo3bobo
$151bo4bo$148b3o5b2o$148bo!