Thread for basic questions

[get_Snacked]

... Somehow I almost don't think there's any such thing as an elementary lineship. Most lineships are going to be made up of linestretcher and a lineeater, with an adjustable length of line between them -- more than one part, therefore not elementary.

by "elementary" i mean one such that the linestretcher and lineater do not use any engines.

[dvgrn]

... Somehow I almost don't think there's any such thing as an elementary lineship. Most lineships are going to be made up of linestretcher and a lineater, with an adjustable length of line between them -- more than one part, therefore not elementary.

by "elementary" i mean one such that the linestretcher and lineater do not use any engines.

Elementary linestretchers and elementary lineeaters definitely do exist -- and as you guessed, Keith Amling had a lot to do with some of them. Here's a c/5 set:

Code: Select all

#C #N c/5 diagonal lineship, made out of
#C an elementary linestretcher and an elementary lineeater
#C The c/5 diagonal linestretcher is by Keith Amling, 3 April 2023
#C Improved by Matthias Merzenich, 4 April 2023
#C https://conwaylife.com/forums/viewtopic.php?p=160125#p160048
#C The matching c/5 diagonal lineeater was completed on March 29:
#C https://conwaylife.com/forums/viewtopic.php?p=159774#p159774
x = 200, y = 193, rule = B3/S23
50b2o$50bobo$50bo$53bo$54bo$44b5o2bobobo$43b7obo2bobo$41b2o10b2o2bo$
41b3ob2o2b3ob2o3bo$40bobo3bobo2b2o6bo$36b2o2b3o3b2o12bo$34b2ob3o2bo3b
5o10bo$29b2o2bo3bob4obo3b2o12bo$28b2o3bo11bo17bo$29b2o2bo3bo26bo$29b3o
b3obob2o24bo$32b5o29bo$29bo3bo5b2o26bo$27bobo2bo35bo$25bo4b4o35bo$24b
2o3bo40bo$23bo5bo4b2o35bo$22bo2bo46bo$23bob3o45bo$23bo50bo$23bob4o46bo
$22b2ob3o48bo$22b2ob3o49bo$21bo3b2o51bo$15b3o2bo58bo$15bo2b4o58bo$18bo
3bo58bo$16bo3b3o59bo$12b2o3b4o62bo$11b2o4bo66bo$13bo3bo3bo63bo$9bo5b2o
4bo64bo$8b2o5b2obobo66bo$8bobo77bo$13b2o74bo$5bob2ob2ob2o75bo$4b5ob3o
78bo$4bo4bobo80bo$6b3o2b2o80bo$bo5bo3bo82bo$2o4b2o2bobo82bo$obo93bo$4b
o3bo88bo$3bo94bo$3bo2bo92bo$100bo$101bo$102bo$103bo$104bo$105bo$106bo$
107bo$106b2o$105b2o$104bo3bobo3b2o$104bob3o5bobo$104bobobo2b2o$104bobo
bo2bo$103b4obo$102bo11b2o$101b2ob2o5b4o$104bobo3b5o$108bo$103bo4bo$
102bobo4b3o$96b3o2b2obo4bo$95bo3b3obo6bobo$95bo2bob2o8b2o$94bobob4o9b
2o$93bobobo2b3o8bobo$92bo5bo11bo3bo$92bob4o10b2o3bo$92bob3o10bo4b2o$
106bo4bo$106b2o2bo$104b2o3bo$103b2o8bo$102b3ob2o3b2o$112bo2$111b2o$
101b3o5bo$101bo6b2ob2o$99b2o6bo$93b2o4bo6b4ob2o$93b3o3bo10b2obo$91bo4b
o16bo$91bo3bo$95bo11b4o$90b2obobo12bo3bo$88b2o5bo12b2o2bo$88b2o4b2o11b
5o$90b4o12bobobo$105b2ob5o$108bobob2o$111bo$108b2obo$108b2o2bo2bo$108b
2o3b3o3bo$119b2o3b2o$114b3o4bobo2bo$113bo6b2o2bobo$120bo3bo$117bo7bo3b
o$115bob2o10b2o$116bob2obo4b2o$119b4o3b3o$124b3obobo$130b3o$121bo9b3o$
122b2obob2o4bo$125bobob2o$126b2ob2o4bo$127b4ob2o2bo$131b3o2bo$133bo2bo
$136b2o$136b3o$139bo$136bob2o$135b2o3b2obo$135bobo3bo3bo$135b2o6bob2o$
136b2o9bo$136b3o7bo$136bo6bo$137b2o3b3o$141bo2bo$142bo2$142b2obo$144bo
b2o$145bo3bo$146bo2bo$150b2o$147b2ob2o$147b2obob4o$148b3o3b2o$150bo3b
2obo$157bobo$156b2obo$160b2o$154bob3ob2o$153bobo6bo$153bo6b2o$153bo2bo
$155bo2bob2o$161b2o$160b3o$160b2o5bo$160b3o2b2obo$161bo3b2obo$163b2ob
2o$160b2o2b3o3b2o$160b2o2bo2bo3bo$165b5ob2obo$169b2obo2bo$167b2o3bo$
167bo4bobo$171bo$172b3o$172bobo$176bo3bo$172b2o5bobo$172bo2bobob2o$
179bo3bo$177b2o4bobo$177b3o2b2o2bo$185b2o$184b2o2$183b2o$184b2o$184b5o
$189bo$184b3o2bo$183b2o4b2o$187bo3b2o$190bo3bo$192bo3bo$196bo$194bo2bo
$196bo$199bo$196bo2bo$197bo$198bo!

EDIT: Oops, that's a growing spaceship. Corrected below.

[get_Snacked]

Elementary linestretchers and elementary lineeaters definitely do exist -- and as you guessed, Keith Amling had a lot to do with some of them. Here's a c/5 set:

Code: Select all

#C #N c/5 diagonal lineship, made out of
#C an elementary linestretcher and an elementary lineeater
#C The c/5 diagonal linestretcher is by Keith Amling, 3 April 2023
#C Improved by Matthias Merzenich, 4 April 2023
#C https://conwaylife.com/forums/viewtopic.php?p=160125#p160048
#C The matching c/5 diagonal lineeater was completed on March 29:
#C https://conwaylife.com/forums/viewtopic.php?p=159774#p159774
x = 200, y = 193, rule = B3/S23
50b2o$50bobo$50bo$53bo$54bo$44b5o2bobobo$43b7obo2bobo$41b2o10b2o2bo$
41b3ob2o2b3ob2o3bo$40bobo3bobo2b2o6bo$36b2o2b3o3b2o12bo$34b2ob3o2bo3b
5o10bo$29b2o2bo3bob4obo3b2o12bo$28b2o3bo11bo17bo$29b2o2bo3bo26bo$29b3o
b3obob2o24bo$32b5o29bo$29bo3bo5b2o26bo$27bobo2bo35bo$25bo4b4o35bo$24b
2o3bo40bo$23bo5bo4b2o35bo$22bo2bo46bo$23bob3o45bo$23bo50bo$23bob4o46bo
$22b2ob3o48bo$22b2ob3o49bo$21bo3b2o51bo$15b3o2bo58bo$15bo2b4o58bo$18bo
3bo58bo$16bo3b3o59bo$12b2o3b4o62bo$11b2o4bo66bo$13bo3bo3bo63bo$9bo5b2o
4bo64bo$8b2o5b2obobo66bo$8bobo77bo$13b2o74bo$5bob2ob2ob2o75bo$4b5ob3o
78bo$4bo4bobo80bo$6b3o2b2o80bo$bo5bo3bo82bo$2o4b2o2bobo82bo$obo93bo$4b
o3bo88bo$3bo94bo$3bo2bo92bo$100bo$101bo$102bo$103bo$104bo$105bo$106bo$
107bo$106b2o$105b2o$104bo3bobo3b2o$104bob3o5bobo$104bobobo2b2o$104bobo
bo2bo$103b4obo$102bo11b2o$101b2ob2o5b4o$104bobo3b5o$108bo$103bo4bo$
102bobo4b3o$96b3o2b2obo4bo$95bo3b3obo6bobo$95bo2bob2o8b2o$94bobob4o9b
2o$93bobobo2b3o8bobo$92bo5bo11bo3bo$92bob4o10b2o3bo$92bob3o10bo4b2o$
106bo4bo$106b2o2bo$104b2o3bo$103b2o8bo$102b3ob2o3b2o$112bo2$111b2o$
101b3o5bo$101bo6b2ob2o$99b2o6bo$93b2o4bo6b4ob2o$93b3o3bo10b2obo$91bo4b
o16bo$91bo3bo$95bo11b4o$90b2obobo12bo3bo$88b2o5bo12b2o2bo$88b2o4b2o11b
5o$90b4o12bobobo$105b2ob5o$108bobob2o$111bo$108b2obo$108b2o2bo2bo$108b
2o3b3o3bo$119b2o3b2o$114b3o4bobo2bo$113bo6b2o2bobo$120bo3bo$117bo7bo3b
o$115bob2o10b2o$116bob2obo4b2o$119b4o3b3o$124b3obobo$130b3o$121bo9b3o$
122b2obob2o4bo$125bobob2o$126b2ob2o4bo$127b4ob2o2bo$131b3o2bo$133bo2bo
$136b2o$136b3o$139bo$136bob2o$135b2o3b2obo$135bobo3bo3bo$135b2o6bob2o$
136b2o9bo$136b3o7bo$136bo6bo$137b2o3b3o$141bo2bo$142bo2$142b2obo$144bo
b2o$145bo3bo$146bo2bo$150b2o$147b2ob2o$147b2obob4o$148b3o3b2o$150bo3b
2obo$157bobo$156b2obo$160b2o$154bob3ob2o$153bobo6bo$153bo6b2o$153bo2bo
$155bo2bob2o$161b2o$160b3o$160b2o5bo$160b3o2b2obo$161bo3b2obo$163b2ob
2o$160b2o2b3o3b2o$160b2o2bo2bo3bo$165b5ob2obo$169b2obo2bo$167b2o3bo$
167bo4bobo$171bo$172b3o$172bobo$176bo3bo$172b2o5bobo$172bo2bobob2o$
179bo3bo$177b2o4bobo$177b3o2b2o2bo$185b2o$184b2o2$183b2o$184b2o$184b5o
$189bo$184b3o2bo$183b2o4b2o$187bo3b2o$190bo3bo$192bo3bo$196bo$194bo2bo
$196bo$199bo$196bo2bo$197bo$198bo!

um, are you sure the linestretcher is c/5 diagonal?

[dvgrn]

um, are you sure the linestretcher is c/5 diagonal?

Heh, copied the wrong pattern. The links were good enough to allow a proper c/5 diagonal lineship to be deduced, made out of two elementary pieces:

Code: Select all

x = 172, y = 236, rule = B3/S23
94bo$93b2o$92bo$90b3ob2o$89b2obo3bo$88bob3o$87b2obobob2o$88bob2obo$88b
o2$87bo5bo$86b2o$85bo$84bob3o2b2o$83bo2b2ob2obo$83bo4b2o$88bo$85bo2bo
$90b2o2$88bobo$87b3o$85b2ob2o$84bobo$84b3o$83bobo$83b2o$82bo2bo2bo$83b
2o2bobo$75b2o10bo2bo$74bo2bo7b2o2b2o$77bo6b2o4bo$72b2o8bo3bob3o$72b2o
bobo6b2ob4o$73bo5bobo3b2o$48bo10bob3o2bo10bobo2b2o2bo4bo$40b2o5b2o9b3o
2b2obo4b4ob2o9bo3bo$36bob2o5bo2b2o9b6o3b6ob2o3bo6bo$35b3o2bo2b4o3b2o8b
3o4b2o3b2obob2o7b2o$32bob2o4bo7b2obo4b4obo4bo4bo13bo2bo$22bo7b7o3b3o4b
ob2o6bo13bo12bo3bo$20bob3o4b2o3b2o7bo2bo3bo4bobob2o7b2o13bo5bo$19b2o3b
o4bo2b3o11bo36bo2bob2o$18b2o3b3o5b2o6bo5bo5b4o29b2o4bo$14b3ob3obobo4b
o4b2o4bo5b2ob2obo2bo30bobob2obo$17bo2b4o5b2o2bo2bo3bo5b3obobo2bob2o33b
o$14bo2b2o2bo4b2o6bobobo7b2o3bo4b3o29bo4bo$13bo5b3o4bo6bo24bobo26bo$13b
4o10bo7b2o25bo25bo$11bo6bob2o6bo33b3o$10bo3bo2bo2b2o7bo32b3o24b3o$10b
o5bo13bo58b2ob2o$9b2o7b2o11bo57bo$9b5o4b2o12bo32bo23bo$12b3obo3bo12bo
30b2o26bo$5b2o5b3o4b3o12bo53bo2bo$5b3o4b3o3bob2o13bo51b4o$3bo4bo3b2o4b
o17bo49bo3bo$3bo3bo9bo2b2o15bo48bo2bo$7bo30bo48bobobo$2b2obobo9b3o19b
o50bo$2o5bo9b3o20bo$2o4b2o9b3o21bo$2b4o15bo20bo$22b2o19bo$44bo$21bo2b
o20bo$20bo25bo$20bo4b2o20bo$22b2o24bo$22bo2bob2o20bo$26b4o20bo$28bo22b
o$28bo23bo$29bobo21bo$31bo22bo$31b2o22bo$31b2obo21bo$34b2o21bo$29b3o26b
o$29bo5bobobo19bo$28bob2o3b2o2bo20bo$28bo6bo2bo22bo$29bo7b4o21bo$35b2o
3bob2o19bo$34bobobo25bo$33b2o3bob2obo21bo$37bob3obo22bo$38b3obo24bo$38b
3ob2o24bo$42b2o25bo$38b3ob2obo24bo$48b2obo19bo$44bo3bob2obo18bo$45b2o
5bobo18bo$48bob2o3bo18bo$48bobobo22bo$52bo23bo$52bobo22bo$53bo24bo$79b
o$80bo$78bobo$77b5o$76b2obob2o3b3o$84bob3o$76b2obo$79bob2ob2o$75b2o2b
o4b3o$74bo4bo$74bo2b2o5bob3o$75b4o3b2ob2o$76b2o3b2ob3o$75b2o3bo4bo$69b
2o4bobo3bobo$69b3o3bobo$67bo4bo9b2o$67bo3bo10b2o$71bo11b2o$66b2obobo10b
3ob2o$64b2o5bo9bo$64b2o4b2o8bo2bo$66b4o10b3o4bo$79bobo2b3o$77bo2bo3bo
$76b2o$75bo3bo4b3o$75bob2o7bo$76b2o5bo$84b2o$74b2o$74b2o5bobo$74b2o4b
2obo$71b3o5bo4bo$65b2o4b3o5bo4b2o$65b2ob2o9bo6bo$65b3obo10bo3b2o$65bo
4bo9bobo$62b3o2bo2bo9bo$62b2o3bo2bo10b4o$61bob4o16bobo$61bo7bo14b2o$62b
o5bo9b3o3b3o$78bo2bo3b2o$79bob2o3bo$83b2o$80b5obo$80bo2b2o3bo$81bo6b2o
2b2o$86bo2bobo3b4o$86bo2bo2bo$87b2o3bo4b2o$88b3ob2o3bo$90b4o7bobo$89b
obo8b2o$91b2ob2o$92bo5b2obobo$92b4o2b4obo$94bo3b2o3b2o$96bo9b2o$97b2o
2bo2b2o$96b3o2bob2o$98b2o7b2o$100b4o2bo3bo$100b4obo4bo$102b2o$107b2o$
108b2ob2o$112bo$108bo5bo$107b2o6bo$107b3obo3bobobo$117bo2bo$117b2o$110b
o5b2o$109b2o4bobo$114b2ob2o$116bo$115b2o$115b2obo$119bo$116bo$117b5o$
119bo2bo$120bobo$120b2o4b2o$122bo2b2o$122bobobobo$122bo4b3o$127b2obo$
128bob2o$127bo4bobo$130bob2obo$125b2o3bobo2bo$125b2ob2obobo$126bo8bo$
132b3o$133b2o2$139b2o$133b3o3bobo$133bo2b2o$132bo3bo$132bo10bo$133bob
o2b2ob2ob2o$138b2ob6o$143bobo$140bob2o$140bob3obo$143bo3bo$144b2obo$145b
ob2o$144b2ob2o3b2o$144bo6b2o$145b2o2bo$149b2ob2o$150bob2ob3o$150bo4b3o
$151bo3b2o2b2o$156bo2bo$156bo$156bob2o$156bo3b2o$159b3o$156bo2bo2bo$156b
obobo$156bo3bo3bo$161b2obo$165bo$167b2o$167bo2bo$168bobo$169bo2$170b2o
$170b2o!

[WhiteHawk]

Are there any applications for this singular unix-like dot spark provided by Charity's p16?

Code: Select all

x = 16, y = 12, rule = LifeHistory
11.2A$9.C2.A2$5.A8.A$4.3A$3.A.3A2.A4.A$2.A3.A4.2A.2A$.A3.A7.A$3A.A$.3A
6.A$2.A6.A.A$10.A!

[C_R_116]

Would these gliders be 2fd apart?

Code: Select all

x = 7, y = 7, rule = B3/S23
3o$2bo$bo2$5b2o$4bobo$6bo!

[confocaloid]

I think those two gliders are 9 half-diagonals apart. (If they were moving on the same glider lane, they would be 0hd apart. One of two gliders needs to be moved 9hd to reach the lane of the other glider.)

Would these gliders be 2fd apart?

Code: Select all

x = 7, y = 7, rule = B3/S23
3o$2bo$bo2$5b2o$4bobo$6bo!

[hotcrystal0]

Is there a collection of E-heptomino conduits?

[dvgrn]

Is there a collection of E-heptomino conduits?

Yes.

[confocaloid]

Code: Select all

x = 8, y = 14, rule = B3/S23
4bo$4bobo$4b2o$bo$o$3o3$b3o$bo$2bo$5b2o$5bobo$5bo!
#C [[ GRID THEME MCell ]]

(1) Does this particular four-glider synthesis have a five-glider synthesis?

(2) Does a N-glider synthesis of some target pattern always imply a (N+1)-glider synthesis of the same target pattern?

Context:

All glider synthesises of any synthesisable still life have a synthesis with exactly 1 less glider used.

[Vort]

Code: Select all

x = 8, y = 14, rule = B3/S23
4bo$4bobo$4b2o$bo$o$3o3$b3o$bo$2bo$5b2o$5bobo$5bo!
#C [[ GRID THEME MCell ]]

(1) Does this particular four-glider synthesis have a five-glider synthesis?
...

Do you mean producing the same result?

Code: Select all

x = 17, y = 18, rule = B3/S23
14bo$14bobo$14b2o2$4bo$4bobo$4b2o$bo$o$3o3$b3o$bo$2bo$5b2o$5bobo$5bo!

[confocaloid]

[...] (1) Does this particular four-glider synthesis have a five-glider synthesis? [...]

Do you mean producing the same result? [...]

No, in (1) I asked for a 5-glider synthesis that would produce the shown 4-glider synthesis. (Therefore it would be "a 5G synthesis of that particular 4G synthesis of the target pattern", and not just "a 5G synthesis of the target pattern".)

[dvgrn]

No, in (1) I asked for a 5-glider synthesis that would produce the shown 4-glider synthesis. (Therefore it would be "a 5G synthesis of that particular 4G synthesis of the target pattern", and not just "a 5G synthesis of the target pattern".)

I checked the two kickback options, and even the 180-degree one is one tick away from working.

So I'm fairly sure that there is no 5G synthesis of that set of four gliders. It makes a good counterexample to a conjecture about always being able to add exactly one glider. A 180-degree kickback usually works to place the leading glider in a tandem pair, but not when the trailing glider is following on the same lane at the minimum distance.

The octo3g database doesn't have a lot of three-glider collisions that produce two clean output gliders (except for the various kickback cases that it records). It doesn't have any results for that tandem-glider pair, and the leading two colliding gliders have seven matches but none of them would allow the following gliders in those locations.

[WhiteHawk]

I see there is now a Help / Support category on the Forums. I think it would be beneficial to transfer some more threads here. Some suggestions for threads which may fit here.

• Thread for advanced questions
• Construction Challenges and Ideas
• Thread for unsure discoveries
• Unproven conjectures (maybe)
• Intuitive understanding?

Additionally, while Thread for basic Non-CGOL questions and Thread for your Corderization Requests may fit here, they may be better left in Other Cellular Automata

I guess, in the spirit of the thread, my questions are: (1) what exactly should go in this new category, and (2) are these threads (and perhaps other threads not listed), better placed here or in their current spots?

EDIT: how does [ list ] work, as in the list above?

EDIT 2: I see there already has been some discussion about the forum category elsewhere.

[confocaloid]

EDIT: how does [ list ] work, as in the list above?

Here are some examples (to see how it is done, try to quote this post, but without actually posting a reply):

• Something
• Other thing
• Something else

1. First
2. second
3. Third

1. First
2. second
3. Third

1. First
2. second
3. Third

[get_Snacked]

i remember seeing an oscillator containing something like an eater 2 hassling the heads of two eleveners. does anyone know what i'm talking about?

[confocaloid]

i remember seeing an oscillator containing something like an eater 2 hassling the heads of two eleveners. does anyone know what i'm talking about?

Do you mean 35P12.1 (a.k.a. "gullible")?

Code: Select all

x = 14, y = 14, rule = B3/S23
3b2o$3bo$4b3o$6bo$6bobo$7b2o2$3bobo4b2o$b3ob2o4bo$o10bobo$b3ob2o5b2o$
3bobo$3bobo$4bo!

[WhiteHawk]

Is there an odd-period non-trivial oscillator in life where strict volatility does not match volatility, but NOT because the sparkers/supporting oscillators (if any) have lower period (e.g. various p45 active regions supported by Pentadecathlons have lower strict volatility than normal volatility due to the supporting Pentadecathlons being pseudo-period with respect to the oscillator as a whole.)?

More generally, is there a non-trivial oscillator in life where the main unstable active region, and not any stable supporting sparkers or still-lifes, has cell(s) which repeat at periods lower than that of the oscillator (period n), but not at subperiod n/2 (as occurs with Gabriel's p138 or Twin Bees Shuttle, which have gutteroids)?

EDIT: Hassled region oscillators, rather than conduit-supported or gun-supported period-multiplication reactions, are more ideal.

EDIT 2:

I'm not completely sure if I correctly understand the intended idea. There seems to be some confusion over what is the rotor of an oscillator.
The rotor is simply the set of all cells that change state at some point during the evolution of the oscillator.

EDIT 3:

edit:

To put it explicitly, I think that situation is impossible, the way it is stated. The "true-period part of the rotor" must consist entirely of cells that oscillate at the full period of the oscillator. Therefore it cannot possibly have any cell oscillating at a subperiod.

Fixed the terminology of what is mean by "true-period part of the rotor". Is my question clearer/possible to answer now?

EDIT 4:

edit 2: here is an odd-period oscillator in Life, where the strict volatility (0) does not match the volatility (approx. 0.57).

Any luck for nontrivial oscillators?

[confocaloid]

Is there an odd-period oscillator in life where strict volatility does not match volatility, but NOT because the sparkers/supporting oscillators (if any) have lower period (e.g. various p45 rotors supported by Pentadecathlons have lower strict volatility than volatility due to the supporting Pentadecathlons, not the p45 rotor.)?

More generally, is there an oscillator in life where the true-period rotor, and not any supporting structures, has cell(s) which repeat at periods lower than that of the oscillator (period n), but not at n/2 or multiples thereof (as occurs with Gabriel's p138 or Twin Bees Shuttle)?

EDIT: Hassled region oscillators, rather than conduit-supported or gun-supported period-multiplication reactions, are more ideal.

I'm not completely sure if I correctly understand the intended idea. There seems to be some confusion over what is the rotor of an oscillator.
The rotor is simply the set of all cells that change state at some point during the evolution of the oscillator.

The part "the p45 rotor" sounds like it cannot possibly contain any cells oscillating at periods other than 45 (the part of the rotor that consists of cells oscillating at p45). Therefore, it's impossible for a p45 oscillator to have a cell which oscillates at a subperiod because of "the p45 rotor"; such a cell must be outside of "the p45 rotor" as far as I see.

"Strict volatility does not match volatility" means that the rotor contains at least one cell which oscillates at a subperiod.

An even-period oscillator can have a gutteroid.

An odd-period oscillator on the square tiling cannot have a gutteroid, however, in principle nothing prevents a cell that would oscillate at n/3 or n/5 or n/7 etc. The lowest candidate periods are 9 (the subperiod must be 3), 15 (subperiod 3 or 5), 21 (subperiod 3 or 7), 25 (subperiod 5), 27 (subperiod 3 or 9).

edit:

[...]
More generally, is there an oscillator in life where the true-period part of the rotor, and not any supporting structure (Oscillator or still-life), has cell(s) which repeat at periods lower than that of the oscillator (period n), [...]

To put it explicitly, I think that situation is impossible, the way it is stated. The "true-period part of the rotor" must consist entirely of cells that oscillate at the full period of the oscillator. Therefore it cannot possibly have any cell oscillating at a subperiod.

edit 2: here is an odd-period oscillator in Life, where the strict volatility (0) does not match the volatility (approx. 0.57).

[...]
Trivial p15 (p3 part found with WLS):

Code: Select all

x = 66, y = 54, rule = B3/S23
11bo2bo7b2o$11bo2bo7bo15b2o5b2o4b2o$8bob2o2b2o7bo14bo5bo2bo4bo$7bobo5b
3o2b4o8b2ob2obo5b2obo4bob2o3b2obo$8bo11bo12bobo2b2o7b2o2b2obobo2bob2o
2bo$b2o20b3o6bo4bo2bob4o4bo3bo2bobo3b3o$2bo2b2o5b2o2b3o4bo2bo6b5o2bobo
3b3o3b2obobo2b2o$2bobob3o2bobo11b2o8bobo2b2o3bo7bo4bobob2o$2o2bobo2bo
2b2obo15b3o6b2o2b2obo3bo4b2o2bobobo$bobo3b2o2bo2b6o2b3o5bo3bo2b3o4bobo
bobo3b2o3bobo3bo$bob3o2bob2o2bobo9b3o2bo2bob2obo2bob2o5bo3bo8b2o$2obo
2bobobo7bob2obobob3obo4b2ob5obo2b2obob5o3bo$bob2obobobo4b2o7bo5bobo8bo
6bo2bobo4bo2b5o$bobo2bo2bo7b2o4bo3b2obo18bobo2b4o7bo$2bo2b2o7b2obo5bo
4bo5bo11b3o2bo6b5o$11bo5bo11bobo3b2o9bo4b2o3bo2bo2bo$9bobobo2bo4b2o3b
2o4b3o2b2o17b2o$13bo6bo3bob5obob3obo3b2o$8bob3ob3o3b2obo8bo4b2o3bo2bo$
8bo12bob2ob7o3b2ob2obob2o$9b2ob2o7bo2bobo12b2obo$10bob2o8b2o5b2o4bobo
4bo$10bo18bo7b5ob2o$9b2o15b2obo3b2o3bo2bobo$27bob2obo4bo2bo2bo$26bo3bo
bo2bo3b2obo$27b3o2bobo2bo2bob2o$29bobo2bo3bobo2bo$31b4o2b3obo$30bo3b2o
5b2o$29bo2bo6bo$30b2obo6b3o$31bo6b2o3bo$31bob2o4bobo2bo$28b2obo4bob2ob
4o$29bob2obobo3bo$29bo4b4obo2bo$30b3o6bob2o$32b2o3bobo$35bo2b2o$32b4ob
o2b2o$32bo2bo2b2o2bo$33bobo4bobo$32b2obo2b3ob2o$32bo2b2obo2bo$30bobob
2o2b2obo$30b2o2b2o4bo$34b2o2b2o$35bo2bo$36bobo$35b2ob2o$36bobo$36bobo$
37bo!

[WhiteHawk]

"Strict volatility does not match volatility" means that the rotor contains at least one cell which oscillates at a subperiod.

An even-period oscillator can have a gutteroid.

An odd-period oscillator on the square tiling cannot have a gutteroid, however, in principle nothing prevents a cell that would oscillate at n/3 or n/5 or n/7 etc. The lowest candidate periods are 9 (the subperiod must be 3), 15 (subperiod 3 or 5), 21 (subperiod 3 or 7), 25 (subperiod 5), 27 (subperiod 3 or 9).

Kind of unrelated, but why would this oscillator (p38 flipper from Eightlife) be considered to have a strict volatility of 1 even though the t=19 generation has cells turned on that were on n/2 generations earlier (n=38)?

Code: Select all

x = 13, y = 16, rule = B3/S238History
6.B$5.6B$4.A2BD3B$2.BCB2CBC3B$2.BC4BC4B$.2BAD2BAD3B$.3BC2BC3B$3BD4BA3B
$3BD4BA3B$.3BC2BC3B$.2BAD2BAD3B$2.BC4BC4B$2.BCB2CBC3B$4.A2BD3B$5.6B$6.
B!

[confocaloid]

While there are alive cells at T=0 that will be alive at T=19, neither of those cells actually oscillates with period 19.

In this case, for every cell that's alive both at T=0 and at T=19, there exists some t /= 0 such that that cell's state at T=t differs from that cell's state 19 ticks later (i.e. at T=t+19).

Look at the single marked cell below. It's easy to check that the marked cell is alive both in the shown phase and in the phase that appears 19 ticks later. However, there exists a different phase of the oscillator such that the same statement is no longer true for that phase. For example, the marked cell is dead at T=1 but alive at T=20, therefore the marked cell doesn't oscillate with period 19.

Code: Select all

x = 6, y = 12, rule = B3/S238History
.A$A.2A.A$A4.A$A3.A$.C2.A$5.A$5.A$.A2.A$A3.A$A4.A$A.2A.A$.A!
#C [[ GRID STOP 19 HARDRESET ]]

Kind of unrelated, but why would this oscillator (p38 flipper from Eightlife) be considered to have a strict volatility of 1 even though the t=19 generation has cells turned on that were on n/2 generations earlier (n=38)?

Code: Select all

x = 13, y = 16, rule = B3/S238History
6.B$5.6B$4.A2BD3B$2.BCB2CBC3B$2.BC4BC4B$.2BAD2BAD3B$.3BC2BC3B$3BD4BA3B
$3BD4BA3B$.3BC2BC3B$.2BAD2BAD3B$2.BC4BC4B$2.BCB2CBC3B$4.A2BD3B$5.6B$6.
B!

[hotcrystal0]

What's the smallest still life that can't be cleanly destroyed by a single glider?

[Haycat2009]

What's the smallest still life that can't be cleanly destroyed by a single glider?

Long ship and canoe

[WhiteHawk]

Does it matter in the title of "p124 lumps of muck hassler" that p124 lumps of muck hassler is actually a shuttle?

[confocaloid]

Does it matter in the title of "p124 lumps of muck hassler" that p124 lumps of muck hassler is actually a shuttle?

The main problem I see is that the title "p124 lumps of muck hassler" incorrectly suggests that the page is about period-124 LoM hasslers in general (any period-124 oscillators that are also LoM hasslers), while the page p124 lumps of muck hassler is actually about just one specific oscillator.

The topic declared in the title doesn't match the actual topic of the page. That is a problem.

Shuttles are indeed hasslers, there's no incorrectness in that part as far as I can tell.