These oscillators are actually Herschel tracks
Posted: February 20th, 2017, 11:00 am
The following oscillators from Golly's "DRH-oscillators" example collection are
actually degenerated Herschel tracks:
The Herschels could be fed into a Herschel track. For the p56 oscillator this
is shown below:
(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:
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:
I don't know if this is useful, or new; it just struck me as odd.
Edit:
The last pattern can actually be simplified:
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!
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!
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!
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!
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!