Defining volatility for spaceships

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muzik
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Defining volatility for spaceships

Post by muzik » March 7th, 2023, 6:35 am

Volatility is a property that can be assigned to oscillators to determine how many of the cells within that oscillator are rotor cells. Strict volatility is a more restrictive statistic which can be used to determine the proportion of cells in that oscillator which are truly periodic with the overall period.

The main difference between an oscillator and a spaceship is that spaceships have translational motion and displace themselves over a period cycle, which oscillators do not do (oscillators can in fact be seen as spaceships with zero displacement). However, despite volatility and strict volatility being well understood and assigned to oscillators, there does not appear to be any such definitions for spaceships (at least not that I can find by searching on the forum).

There do appear to be cases in which a definition of strict volatility would be useful for spaceships. Here, for example, is the weekender:

Code: Select all

x = 16, y = 11, rule = B3/S23
bo12bo$bo12bo$obo10bobo$bo12bo$bo12bo$2bo3b4o3bo$6b4o$2b4o4b4o2$4bo6b
o$5b2o2b2o!
[[ AGESTATES 7 ]]
Using LifeViewer's AGESTATES command, we can confirm that after seven generations, every cell in this spaceship which was alive at T=0 has died at least once. (The two almost-white cells that can be seen in the center at T=7 were not alive at T=0.) It seems fair to say as a result that all cells in this spaceship are periodic with a period of 7, and thus the spaceship would have a volatility (and, due to 7 being prime, a strict volatility) of 1.

The following is Garth's period-21 "doo-dah" spaceship:

Code: Select all

x = 16, y = 28, rule = B3/S23
bo12bo$bo12bo$obo10bobo$bo12bo$bo12bo$2bo3b4o3bo$6b4o$2b4o4b4o2$4bo6b
o$5b2o2b2o6$3b2o6b2o$2bob2o4b2obo$2bo2bo4bo2bo$3b3o4b3o$3b2o6b2o2$o14b
o$o14bo$bo12bo$b2o10b2o$o14bo$b2o10b2o!
This spaceship is composed of a weekender which pulls a tagalong. It is easy to see, however, that the weekender's evolution remains effectively unchanged, and it still has a period of 7. The tagalong, however, is periodic with period 21, three times that of the spaceship. Since this resulting spaceship is composed of period-7 regions and period-21 regions, it seems fair to say that this spaceship's strict volatility will be lower than that of a weekender alone, as the presence of period-7 regions "contaminates" the period-21 object with lower-period cells.

We can overlay three copies of this spaceships seven generations apart on top of each other using TripleB3S23 for a clearer picture of this phenomenon:

Code: Select all

x = 32, y = 35, rule = TripleB3S23
2$8.G12.G$8.G12.G$7.G.G10.G.G$8.G12.G$8.G12.G$9.G3.4G3.G$13.4G$9.4G4.
4G2$11.G6.G$12.2G2.2G3$11.2B4.2B2$10.2FD4.D2F$10.EGDB2.BDGE$9.ADAE4.E
ADA$8.DE2.A.2B.A2.ED$8.2D2CAB2.BA2C2D$7.D2.EA.B2DB.AE2.D$6.2B2D4.2F4.
2D2B$7.C14.C$7.C4.B4.B4.C$8.C.B8.B.C$8.EC10.CE$7.A.D10.D.A$7.DAE10.EA
D$8.D12.D!
On the top, the weekender will remain composed entirely of white cells (three Life universes) since it has the lower period of 7. The period-21 tagalong part, in contrast, is multicoloured due to having a period higher than 7, and as such only seldom will all three universes converge at one time at one point for white cells to appear.

Many other cases of low-period spaceships with higher-period tagalongs can be seen to exhibit similar such behaviour.

Code: Select all

x = 28, y = 28, rule = B3/S23
5b2obo7b3o$5bo3bo6bo$5bo4bo7bo7b2o$7b2o7bobo4b2obo$9bobo4b3obo2b2o$3o
12bo3b2o2b2o$o10b2ob4ob2o$3bo8b7o$o2bo$bo2bo$2bo$4bobo$6b2o$7bo6b3o$6b
2o6bo2bo$5b3o5bo3bo$2ob2ob2o7bo$o3bob2o9b2o$ob3o2bo5bo6bo$5b2o8b3o3bo$
4b3o14bo$19bo$20bo$3b3o$3b3o2$2b2o$2bo!

Code: Select all

x = 21, y = 14, rule = B3/S23
6b3o3b3o$2bob2o3bobo3b2obo$b3o3bobobobo3b3o$o3bo4bobo4bo3bo$bo7bobo7bo$8bobob
o$8bobobo2$10bo$9bobo$7b2o3b2o$7b2o3b2o$6bo7bo$7bo5bo!
The concept of strict volatility can also be seen with large spaceships which shuttle around other spaceships and stationary objects such as the following. Low-period spaceships are used to create higher-period reactions; these low-period spaceships will likely result in a decreased strict volatility since the high periods arise from the catalysis of objects.

Code: Select all

x = 111, y = 148, rule = B3/S23
66b2o$65b2ob2o5b3o$65bo2b2o10bo$65b4o6b2o3b3o$65b2o4b2o3b2o2bobo$65b2o
4b2o3b2o2bobo$65b4o6b2o3b3o$65bo2b2o10bo$45b2o18b2ob2o5b3o$45bobo6b2o
2bo7b2o18b2o$44bo2b2o5b2obo2bo25bobo6b2o2bo$22b2o21b2o3bo4bo4bo24bo2b
2o5b2obo2bo$22bobo6b2o2bo9bo5bo4bo2bobo24b2o3bo4bo4bo$21bo2b2o5b2obo2b
o7bo5bo4bo2bobo24bo5bo4bo2bobo$22b2o3bo4bo4bo7b2o3bo4bo4bo25bo5bo4bo2b
obo$22bo5bo4bo2bobo5bo2b2o5b2obo2bo25b2o3bo4bo4bo$22bo5bo4bo2bobo6bobo
6b2o2bo26bo2b2o5b2obo2bo$22b2o3bo4bo4bo7b2o39bobo6b2o2bo$21bo2b2o5b2ob
o2bo48b2o$b2o19bobo6b2o2bo$bobo6b2o2bo7b2o$o2b2o5b2obo2bo$b2o3bo4bo4bo
$bo5bo4bo2bobo8b2o8b2o20b2o$bo5bo4bo2bobo8b2o8b2o20b2o$b2o3bo4bo4bo$o
2b2o5b2obo2bo77b2o$bobo6b2o2bo79bobo6b2o2bo$b2o90bo2b2o5b2obo2bo$94b2o
3bo4bo4bo$94bo5bo4bo2bobo$13b2o6b2o22b2o6b2o39bo5bo4bo2bobo$13b2o6b2o
22b2o6b2o39b2o3bo4bo4bo$93bo2b2o5b2obo2bo$94bobo6b2o2bo$94b2o$34b2o$
34b2o2$82bo$17b2o63b2o$17bobo6b2o2bo50bobo$16bo2b2o5b2obo2bo$17b2o3bo
4bo4bo$17bo5bo4bo2bobo$17bo5bo4bo2bobo$17b2o3bo4bo4bo$16bo2b2o5b2obo2b
o$17bobo6b2o2bo$17b2o17$57bobo$58b2o$58bo30$17b2o$17bobo6b2o2bo$16bo2b
2o5b2obo2bo$17b2o3bo4bo4bo$17bo5bo4bo2bobo$17bo5bo4bo2bobo$17b2o3bo4bo
4bo$16bo2b2o5b2obo2bo$17bobo6b2o2bo$17b2o5$94b2o$94bobo6b2o2bo$93bo2b
2o5b2obo2bo$5b2o22b2o6b2o30b2o23b2o3bo4bo4bo$5b2o22b2o6b2o30b2o23bo5bo
4bo2bobo$94bo5bo4bo2bobo$94b2o3bo4bo4bo$b2o90bo2b2o5b2obo2bo$bobo6b2o
2bo47bobo29bobo6b2o2bo$o2b2o5b2obo2bo44bo3bo28b2o$b2o3bo4bo4bo43bo4bo$
bo5bo4bo2bobo24b2o16bo4bo8b2o$bo5bo4bo2bobo24b2o16bo3bo9b2o$b2o3bo4bo
4bo44bo2bo$o2b2o5b2obo2bo$bobo6b2o2bo7b2o$b2o19bobo6b2o2bo$21bo2b2o5b
2obo2bo48b2o$22b2o3bo4bo4bo7b2o39bobo6b2o2bo$22bo5bo4bo2bobo6bobo6b2o
2bo26bo2b2o5b2obo2bo$22bo5bo4bo2bobo5bo2b2o5b2obo2bo25b2o3bo4bo4bo$22b
2o3bo4bo4bo7b2o3bo4bo4bo25bo5bo4bo2bobo$21bo2b2o5b2obo2bo7bo5bo4bo2bob
o24bo5bo4bo2bobo$22bobo6b2o2bo9bo5bo4bo2bobo24b2o3bo4bo4bo$22b2o21b2o
3bo4bo4bo24bo2b2o5b2obo2bo$44bo2b2o5b2obo2bo25bobo6b2o2bo$45bobo6b2o2b
o7b2o18b2o$45b2o18b2ob2o5b3o$65bo2b2o10bo$65b4o6b2o3b3o$65b2o4b2o3b2o
2bobo$65b2o4b2o3b2o2bobo$65b4o6b2o3b3o$65bo2b2o10bo$65b2ob2o5b3o$66b2o
!

Code: Select all

x = 130, y = 133, rule = B36ce7c/S23-y
103bo$102bobo$102bo2bo$100b2obob2o$100b2obob2o$101bob2obo$102b4o$104bo
34$100bo$99b3o$98bo2bo$97b5o$98bo2bo22b3ob2o$99bob2o22bobobo$101bo23bo
3bo$126bobo$127bo8$115bo$115bo2b2o$115bo2b2o3$68bo$68b3o$68b3o40bo$69b
obo38bobo$65b3o45b2o$66b2o40bo2bo$66bo3bo40bo3bo$108b2o4bo$98b2o10bo$
100bo11b2o$97bo2bo$99bobo$96b3o$97b5o$100bo3$47bo$44bo3b2o$47b3o26b2o$
48b3o24bo$45b2o28b3o$44b3o29bo$46bo31bo$29b2ob2o20b2o21b3o$29b2obob2o
17bo2bo20b6o$29bobo3bo18b2o25b2o$34b2o2$31b3o4$2bo$2b2o49bo$b2ob2o46bo
bo$bo51bobo$3o3bo43bo2b2o$3bo46bo4bo$4b2o13b2o29bo3b2o$o18b2o31bob2o$b
o17b2o2$19b3o88bo$108bo3bo$104bo3bo3bo$102bobo4bo3bo$103b2o5bob3o$45bo
60bo3b3o$43b2obo60bo2bo$43bo3bo$44bobo$6b3ob2o$10b2o9$35b3o2bo$39b2o3$
24b2o$24b2o$24b2o2$24b3o!
There are still many questions that need to be answered, though, if spaceship volatility is ever to be considered a useful statistic. For example, we've almost exclusively considered strict volatility so far, rather than simple non-strict volatility. What does it mean, for example, for a cell to be "period-1" in a spaceship? By definition, every alive cell in a spaceship must become permanently dead at some arbitrary point in the future, otherwise the configuration cannot be considered "moving" and would therefore not be a spaceship. However, after one cycle of a spaceship, a cell that stayed on the whole time would be at a different position "within" the spaceship after that cycle - so where would the "period 1"/"stator" cell of the spaceship be considered to be?

In addition, volatility is only considered for oscillators with periods 2 and above, since period-1 oscillators are classified as "still lifes" and given their own pattern class. However, period-1 spaceships are still considered spaceships and are not given special treatment. We'd have to ask ourselves: would a still life have a volatility of 1 since all constituent cells oscillate at the "full period" of 1, or would they have a volatility of 0 since every cell is a stator? Questions like this must be answered if spaceships like the "moon" were to be assigned values for volatility, since every single cell dies every generation though the configuration appears identical overall:

Code: Select all

x = 2, y = 4, rule = B2ae/S
o$bo$bo$o!
The weekender is potentially controversial in these respects, as while those two central cells do not make it to the next time the spaceship looks the exact same, they do stay alive for seven whole generations, with seven being the spaceship's period. Should there be a requirement that "stator cells" survive the whole period and remain present in the spaceship the next time it returns to its original form, or should they just be expected to survive for n generations for a period-n spaceship?

There's also the far-future concept of spaceship period maps analogous to oscillator period maps that one could consider - but let's not get into that now.

Discuss!

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Re: Defining volatility for spaceships

Post by rattlesnake » June 15th, 2023, 8:18 pm

Maye we can use something like this:

Code: Select all

x = 10, y = 8, rule = R3,C2,S5-7,B5-7,NW0000000202020000000002010200000000020202000000000
2b2o4b2o$2b2o4b2o$2o$2o$2o6b2o$2o6b2o$8o$8o!
The LWSS has 2x2 cells but to make it an oscillator, the pattern moves right 1 square per generation to compensate.
Volatility = 0.88, Strict volatility = 0.68
I have discovered SKOP for 115, 188, 492 and gun_ and guntrue_ for 200, 226, 339, 752, 1944, 6624.

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Re: Defining volatility for spaceships

Post by Entity Valkyrie 2 » June 18th, 2023, 7:38 am

muzik wrote:
March 7th, 2023, 6:35 am
In addition, volatility is only considered for oscillators with periods 2 and above, since period-1 oscillators are classified as "still lifes" and given their own pattern class. However, period-1 spaceships are still considered spaceships and are not given special treatment. We'd have to ask ourselves: would a still life have a volatility of 1 since all constituent cells oscillate at the "full period" of 1, or would they have a volatility of 0 since every cell is a stator? Questions like this must be answered if spaceships like the "moon" were to be assigned values for volatility, since every single cell dies every generation though the configuration appears identical overall:
Strict volatility is almost always lower than (or the same as) regular volatility, though there is an exception; when the period is 1, the regular volatility is 0 (since no cells change state), but the strict volatility is 1 (because every cell has period 1).
(This also means that the set of all strict volatility 1 patterns is not actually a subset of the set of all volatility 1 patterns, since all still lives have strict volatility 1 but volatility 0)
This way, a spaceship with period 1 will have a regular volatility of 0 but a strict volatility of 1.

Assuming the definition of strict volatility is "proportion of involved cells that repeat with the same period as the period of the pattern"
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Re: Defining volatility for spaceships

Post by rattlesnake » June 18th, 2023, 6:31 pm

But period-1 spaceships do not exist in CGOL.
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Re: Defining volatility for spaceships

Post by Entity Valkyrie 2 » June 18th, 2023, 7:49 pm

rattlesnake wrote:
June 18th, 2023, 6:31 pm
But period-1 spaceships do not exist in CGOL.
Period-1 spaceships exist in other life-like automaton, such as B2/S:

Code: Select all

x = 2, y = 4, rule = B2/S
bo$o$o$bo!
And there is no reason for the definition to exclude p1 spaceships simply because they don't occur in B3/S23. This definition should work regardless of what life-like CA is used.
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Re: Defining volatility for spaceships

Post by DroneBetter » August 5th, 2023, 7:17 am

rattlesnake wrote:
June 15th, 2023, 8:18 pm
Maye we can use something like this:

Code: Select all

x = 10, y = 8, rule = R3,C2,S5-7,B5-7,NW0000000202020000000002010200000000020202000000000
2b2o4b2o$2b2o4b2o$2o$2o$2o6b2o$2o6b2o$8o$8o!
The LWSS has 2x2 cells but to make it an oscillator, the pattern moves right 1 square per generation to compensate.
Volatility = 0.88, Strict volatility = 0.68
In this case, if a period-p spaceship is fixed to be stationary and each 'sub-cell' is given its own complex number, where if alive in each generation 0<=t<p, it has e^(2*π*i*t/p) added to it, stators and non-strictly volatile ones have a sum of 0.
More interestingly, similarly to regular oscillators, if you represent it with values in three dimensions instead of two to encode both magnitude and phase axially, so that brightnesses correspond with proportions of time spent turned on (with the magnitudes of additions to red, green and blue each iteration going through sine waves over p), non-strictly-volatile cells are monochromatic.

Here is an image of Sir Robin (which, with each cell divided into 36 sub-cells, has 304 stators and 25884 rotors, of which 24136 strictly volatile, giving it volatility about 0.988 and strict volatility about 0.921 :-)
Image
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Re: Defining volatility for spaceships

Post by confocaloid » August 5th, 2023, 6:26 pm

rattlesnake wrote:
June 15th, 2023, 8:18 pm
Maye we can use something like this:

Code: Select all

x = 10, y = 8, rule = R3,C2,S5-7,B5-7,NW0000000202020000000002010200000000020202000000000
2b2o4b2o$2b2o4b2o$2o$2o$2o6b2o$2o6b2o$8o$8o!
The LWSS has 2x2 cells but to make it an oscillator, the pattern moves right 1 square per generation to compensate.
Volatility = 0.88, Strict volatility = 0.68
DroneBetter wrote:
August 5th, 2023, 7:17 am
Here is an image of Sir Robin [...]

Code: Select all

x = 474, y = 186, rule = R8,C0,S5-7,B5-7,NW0000000000000000020000020000020000000000000000000000000000000000000000000000000000000000000000000000000000000000000000020000010000020000000000000000000000000000000000000000000000000000000000000000000000000000000000000000020000020000020000000000000000000000000000000000000000000000000000000
48b6o$48b6o$48b6o$48b6o$48b6o$48b6o$36b6o12b6o$36b6o12b6o$36b6o12b6o$
36b6o12b6o$36b6o12b6o$36b6o12b6o$24b12o6b6o18b6o$24b12o6b6o18b6o$24b
12o6b6o18b6o$24b12o6b6o18b6o$24b12o6b6o18b6o$24b12o6b6o18b6o$24b6o12b
6o18b6o$24b6o12b6o18b6o$24b6o12b6o18b6o$24b6o12b6o18b6o$24b6o12b6o18b
6o$24b6o12b6o18b6o$18o12b6o6b6o$18o12b6o6b6o$18o12b6o6b6o$18o12b6o6b6o
$18o12b6o6b6o$18o12b6o6b6o$6o24b6o6b6o6b6o$6o24b6o6b6o6b6o$6o24b6o6b6o
6b6o$6o24b6o6b6o6b6o$6o24b6o6b6o6b6o$6o24b6o6b6o6b6o$18b6o12b6o18b6o$
18b6o12b6o18b6o$18b6o12b6o18b6o$18b6o12b6o18b6o$18b6o12b6o18b6o$18b6o
12b6o18b6o$6b6o6b6o36b6o$6b6o6b6o36b6o$6b6o6b6o36b6o$6b6o6b6o36b6o$6b
6o6b6o36b6o$6b6o6b6o36b6o$12b12o36b6o$12b12o36b6o$12b12o36b6o$12b12o
36b6o$12b12o36b6o$12b12o36b6o7$24b12o6b12o24b6o6b24o66b6o$24b12o6b12o
24b6o6b24o66b6o$24b12o6b12o24b6o6b24o66b6o$24b12o6b12o24b6o6b24o66b6o$
24b12o6b12o24b6o6b24o66b6o$24b12o6b12o24b6o6b24o66b6o$24b12o6b12o6b12o
6b18o12b12o6b6o6b12o24b6o6b6o$24b12o6b12o6b12o6b18o12b12o6b6o6b12o24b
6o6b6o$24b12o6b12o6b12o6b18o12b12o6b6o6b12o24b6o6b6o$24b12o6b12o6b12o
6b18o12b12o6b6o6b12o24b6o6b6o$24b12o6b12o6b12o6b18o12b12o6b6o6b12o24b
6o6b6o$24b12o6b12o6b12o6b18o12b12o6b6o6b12o24b6o6b6o$24b12o24b6o18b6o
6b6o6b6o36b12o$24b12o24b6o18b6o6b6o6b6o36b12o$24b12o24b6o18b6o6b6o6b6o
36b12o$24b12o24b6o18b6o6b6o6b6o36b12o$24b12o24b6o18b6o6b6o6b6o36b12o$
24b12o24b6o18b6o6b6o6b6o36b12o$24b18o30b6o24b6o6b6o36b6o6b12o12b12o$
24b18o30b6o24b6o6b6o36b6o6b12o12b12o$24b18o30b6o24b6o6b6o36b6o6b12o12b
12o$24b18o30b6o24b6o6b6o36b6o6b12o12b12o$24b18o30b6o24b6o6b6o36b6o6b
12o12b12o$24b18o30b6o24b6o6b6o36b6o6b12o12b12o$36b6o42b6o30b6o30b6o6b
18o6b6o$36b6o42b6o30b6o30b6o6b18o6b6o$36b6o42b6o30b6o30b6o6b18o6b6o$
36b6o42b6o30b6o30b6o6b18o6b6o$36b6o42b6o30b6o30b6o6b18o6b6o$36b6o42b6o
30b6o30b6o6b18o6b6o$36b12o12b6o6b6o6b24o6b12o18b6o18b12o12b12o$36b12o
12b6o6b6o6b24o6b12o18b6o18b12o12b12o$36b12o12b6o6b6o6b24o6b12o18b6o18b
12o12b12o$36b12o12b6o6b6o6b24o6b12o18b6o18b12o12b12o$36b12o12b6o6b6o6b
24o6b12o18b6o18b12o12b12o$36b12o12b6o6b6o6b24o6b12o18b6o18b12o12b12o$
66b12o6b6o6b6o60b6o18b18o132b6o$66b12o6b6o6b6o60b6o18b18o132b6o$66b12o
6b6o6b6o60b6o18b18o132b6o$66b12o6b6o6b6o60b6o18b18o132b6o$66b12o6b6o6b
6o60b6o18b18o132b6o$66b12o6b6o6b6o60b6o18b18o132b6o$102b6o12b6o36b6o6b
18o6b6o144b6o$102b6o12b6o36b6o6b18o6b6o144b6o$102b6o12b6o36b6o6b18o6b
6o144b6o$102b6o12b6o36b6o6b18o6b6o144b6o$102b6o12b6o36b6o6b18o6b6o144b
6o$102b6o12b6o36b6o6b18o6b6o144b6o$78b18o30b6o18b6o12b6o18b12o54b6o48b
18o18b6o$78b18o30b6o18b6o12b6o18b12o54b6o48b18o18b6o$78b18o30b6o18b6o
12b6o18b12o54b6o48b18o18b6o$78b18o30b6o18b6o12b6o18b12o54b6o48b18o18b
6o$78b18o30b6o18b6o12b6o18b12o54b6o48b18o18b6o$78b18o30b6o18b6o12b6o
18b12o54b6o48b18o18b6o$108b24o18b6o30b6o12b6o24b6o6b12o6b6o30b18o30b6o
$108b24o18b6o30b6o12b6o24b6o6b12o6b6o30b18o30b6o$108b24o18b6o30b6o12b
6o24b6o6b12o6b6o30b18o30b6o$108b24o18b6o30b6o12b6o24b6o6b12o6b6o30b18o
30b6o$108b24o18b6o30b6o12b6o24b6o6b12o6b6o30b18o30b6o$108b24o18b6o30b
6o12b6o24b6o6b12o6b6o30b18o30b6o$126b6o18b6o30b6o18b12o12b12o18b12o18b
12o6b12o6b6o6b6o$126b6o18b6o30b6o18b12o12b12o18b12o18b12o6b12o6b6o6b6o
$126b6o18b6o30b6o18b12o12b12o18b12o18b12o6b12o6b6o6b6o$126b6o18b6o30b
6o18b12o12b12o18b12o18b12o6b12o6b6o6b6o$126b6o18b6o30b6o18b12o12b12o
18b12o18b12o6b12o6b6o6b6o$126b6o18b6o30b6o18b12o12b12o18b12o18b12o6b
12o6b6o6b6o$138b6o6b6o30b6o24b12o6b6o30b6o6b12o6b6o12b6o12b12o36b6o6b
6o$138b6o6b6o30b6o24b12o6b6o30b6o6b12o6b6o12b6o12b12o36b6o6b6o$138b6o
6b6o30b6o24b12o6b6o30b6o6b12o6b6o12b6o12b12o36b6o6b6o$138b6o6b6o30b6o
24b12o6b6o30b6o6b12o6b6o12b6o12b12o36b6o6b6o$138b6o6b6o30b6o24b12o6b6o
30b6o6b12o6b6o12b6o12b12o36b6o6b6o$138b6o6b6o30b6o24b12o6b6o30b6o6b12o
6b6o12b6o12b12o36b6o6b6o$144b12o66b6o12b6o24b12o6b6o6b6o6b12o12b12o30b
12o12b6o12b12o$144b12o66b6o12b6o24b12o6b6o6b6o6b12o12b12o30b12o12b6o
12b12o$144b12o66b6o12b6o24b12o6b6o6b6o6b12o12b12o30b12o12b6o12b12o$
144b12o66b6o12b6o24b12o6b6o6b6o6b12o12b12o30b12o12b6o12b12o$144b12o66b
6o12b6o24b12o6b6o6b6o6b12o12b12o30b12o12b6o12b12o$144b12o66b6o12b6o24b
12o6b6o6b6o6b12o12b12o30b12o12b6o12b12o$192b12o6b6o6b6o18b12o12b12o18b
6o6b12o12b12o30b12o12b6o12b18o$192b12o6b6o6b6o18b12o12b12o18b6o6b12o
12b12o30b12o12b6o12b18o$192b12o6b6o6b6o18b12o12b12o18b6o6b12o12b12o30b
12o12b6o12b18o$192b12o6b6o6b6o18b12o12b12o18b6o6b12o12b12o30b12o12b6o
12b18o$192b12o6b6o6b6o18b12o12b12o18b6o6b12o12b12o30b12o12b6o12b18o$
192b12o6b6o6b6o18b12o12b12o18b6o6b12o12b12o30b12o12b6o12b18o$192b12o6b
6o6b6o24b6o6b6o18b6o12b18o12b6o6b12o6b6o18b12o6b6o6b24o18b6o$192b12o6b
6o6b6o24b6o6b6o18b6o12b18o12b6o6b12o6b6o18b12o6b6o6b24o18b6o$192b12o6b
6o6b6o24b6o6b6o18b6o12b18o12b6o6b12o6b6o18b12o6b6o6b24o18b6o$192b12o6b
6o6b6o24b6o6b6o18b6o12b18o12b6o6b12o6b6o18b12o6b6o6b24o18b6o$192b12o6b
6o6b6o24b6o6b6o18b6o12b18o12b6o6b12o6b6o18b12o6b6o6b24o18b6o$192b12o6b
6o6b6o24b6o6b6o18b6o12b18o12b6o6b12o6b6o18b12o6b6o6b24o18b6o$222b12o
24b6o78b6o24b6o12b18o30b18o6b6o$222b12o24b6o78b6o24b6o12b18o30b18o6b6o
$222b12o24b6o78b6o24b6o12b18o30b18o6b6o$222b12o24b6o78b6o24b6o12b18o
30b18o6b6o$222b12o24b6o78b6o24b6o12b18o30b18o6b6o$222b12o24b6o78b6o24b
6o12b18o30b18o6b6o$228b6o6b6o24b6o66b6o6b6o12b6o18b6o6b12o24b6o18b6o$
228b6o6b6o24b6o66b6o6b6o12b6o18b6o6b12o24b6o18b6o$228b6o6b6o24b6o66b6o
6b6o12b6o18b6o6b12o24b6o18b6o$228b6o6b6o24b6o66b6o6b6o12b6o18b6o6b12o
24b6o18b6o$228b6o6b6o24b6o66b6o6b6o12b6o18b6o6b12o24b6o18b6o$228b6o6b
6o24b6o66b6o6b6o12b6o18b6o6b12o24b6o18b6o$246b6o6b6o12b6o84b12o36b6o
18b6o$246b6o6b6o12b6o84b12o36b6o18b6o$246b6o6b6o12b6o84b12o36b6o18b6o$
246b6o6b6o12b6o84b12o36b6o18b6o$246b6o6b6o12b6o84b12o36b6o18b6o$246b6o
6b6o12b6o84b12o36b6o18b6o$234b12o12b12o90b12o18b18o24b12o$234b12o12b
12o90b12o18b18o24b12o$234b12o12b12o90b12o18b18o24b12o$234b12o12b12o90b
12o18b18o24b12o$234b12o12b12o90b12o18b18o24b12o$234b12o12b12o90b12o18b
18o24b12o$258b18o108b6o18b6o6b18o$258b18o108b6o18b6o6b18o$258b18o108b
6o18b6o6b18o$258b18o108b6o18b6o6b18o$258b18o108b6o18b6o6b18o$258b18o
108b6o18b6o6b18o$390b12o6b6o18b6o$390b12o6b6o18b6o$390b12o6b6o18b6o$
390b12o6b6o18b6o$390b12o6b6o18b6o$390b12o6b6o18b6o!
What would be the volatility of c/98o from HighLife?
127:1 B3/S234c User:Confocal/R (isotropic rules, incomplete)
Unlikely events happen.
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User avatar
confocaloid
Posts: 2723
Joined: February 8th, 2022, 3:15 pm

Re: Defining volatility for spaceships

Post by confocaloid » August 10th, 2023, 4:15 pm

confocaloid wrote:
August 5th, 2023, 6:26 pm
rattlesnake wrote:
June 15th, 2023, 8:18 pm
Maye we can use something like this:
DroneBetter wrote:
August 5th, 2023, 7:17 am
Here is an image of Sir Robin [...]
...
A (hopefully correct) Python 3 script that prints the rulestring:

Code: Select all

# (I saved the file as 'shipvol.py')
# Usage:
#   python3 shipvol.py
# (change numbers at the end to the desired speed)

def make_rulestring(dx, dy, n):
   R  = max(dx, dy) + n
   RR = 2 * R + 1
   A  = [['0' for x in range(RR)] for y in range(RR)]
   for y in range(-1, 2):
      for x in range(-1, 2):
         A[R + n * y + dy][R + n * x + dx] = '2'
   A[R + dy][R + dx] = '1'
   s  = ''.join(''.join(A[y]) for y in range(RR))
   rs = 'R{},C0,S5-7,B5-7,NW{}'.format(R, s)
   return rs

print(make_rulestring(2, 1, 6))   # change (2, 1, 6) to the desired speed
Examples:

Code: Select all

#C c/2 orthogonal
x = 14, y = 38, rule = R3,C0,S5-7,B5-7,NW0000000002020200000000020102000000000202020000000
4b2o4b2o$4b2o4b2o$12b2o$12b2o$4b2o6b2o$4b2o6b2o$6b8o$6b8o6$6b2o$6b2o$
2b2o6b2o$2b2o6b2o$12b2o$12b2o$2b2o8b2o$2b2o8b2o$4b10o$4b10o6$4b4o$4b4o
$2o8b2o$2o8b2o$12b2o$12b2o$2o10b2o$2o10b2o$2b12o$2b12o!

Code: Select all

#C c/4 diagonal
x = 12, y = 12, rule = R5,C0,S5-7,B5-7,NW0000000000000000000000002000200020000000000000000000000000000000000020001000200000000000000000000000000000000000200020002
4b4o$4b4o$4b4o$4b4o$8b4o$8b4o$8b4o$8b4o$12o$12o$12o$12o!

Code: Select all

#C (2, 1)c/6
#C https://conwaylife.com/wiki/Almost_knightship
x = 114, y = 78, rule = R8,C0,S5-7,B5-7,NW0000000000000000000000000000000000000000000000000000000200000200000200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000200000100000200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000200000200000200000000000000000
18b6o12b6o$18b6o12b6o$18b6o12b6o$18b6o12b6o$18b6o12b6o$18b6o12b6o$6o
12b6o12b6o$6o12b6o12b6o$6o12b6o12b6o$6o12b6o12b6o$6o12b6o12b6o$6o12b6o
12b6o$6b6o72b6o6b6o$6b6o72b6o6b6o$6b6o72b6o6b6o$6b6o72b6o6b6o$6b6o72b
6o6b6o$6b6o72b6o6b6o$12b6o18b12o36b6o6b6o$12b6o18b12o36b6o6b6o$12b6o
18b12o36b6o6b6o$12b6o18b12o36b6o6b6o$12b6o18b12o36b6o6b6o$12b6o18b12o
36b6o6b6o$12b6o18b6o6b12o42b6o$12b6o18b6o6b12o42b6o$12b6o18b6o6b12o42b
6o$12b6o18b6o6b12o42b6o$12b6o18b6o6b12o42b6o$12b6o18b6o6b12o42b6o$6b6o
24b6o6b12o6b6o24b12o$6b6o24b6o6b12o6b6o24b12o$6b6o24b6o6b12o6b6o24b12o
$6b6o24b6o6b12o6b6o24b12o$6b6o24b6o6b12o6b6o24b12o$6b6o24b6o6b12o6b6o
24b12o$6b12o6b6o42b6o18b6o6b6o$6b12o6b6o42b6o18b6o6b6o$6b12o6b6o42b6o
18b6o6b6o$6b12o6b6o42b6o18b6o6b6o$6b12o6b6o42b6o18b6o6b6o$6b12o6b6o42b
6o18b6o6b6o$18b6o24b30o18b6o6b6o$18b6o24b30o18b6o6b6o$18b6o24b30o18b6o
6b6o$18b6o24b30o18b6o6b6o$18b6o24b30o18b6o6b6o$18b6o24b30o18b6o6b6o$
36b12o12b18o6b6o12b12o$36b12o12b18o6b6o12b12o$36b12o12b18o6b6o12b12o$
36b12o12b18o6b6o12b12o$36b12o12b18o6b6o12b12o$36b12o12b18o6b6o12b12o$
24b6o30b6o12b18o6b6o$24b6o30b6o12b18o6b6o$24b6o30b6o12b18o6b6o$24b6o
30b6o12b18o6b6o$24b6o30b6o12b18o6b6o$24b6o30b6o12b18o6b6o$90b12o$90b
12o$90b12o$90b12o$90b12o$90b12o$24b6o24b12o6b12o6b6o$24b6o24b12o6b12o
6b6o$24b6o24b12o6b12o6b6o$24b6o24b12o6b12o6b6o$24b6o24b12o6b12o6b6o$
24b6o24b12o6b12o6b6o$30b18o12b6o6b12o$30b18o12b6o6b12o$30b18o12b6o6b
12o$30b18o12b6o6b12o$30b18o12b6o6b12o$30b18o12b6o6b12o!

Code: Select all

#C c/12 diagonal
#C https://conwaylife.com/wiki/2-engine_Cordership
x = 492, y = 588, rule = R13,C0,S5-7,B5-7,NW000000000000000000000000000000000000000000000000000000002000000000002000000000002000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002000000000001000000000002000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002000000000002000000000002
228b24o$228b24o$228b24o$228b24o$228b24o$228b24o$228b24o$228b24o$228b
24o$228b24o$228b24o$228b24o$228b48o$228b48o$228b48o$228b48o$228b48o$
228b48o$228b48o$228b48o$228b48o$228b48o$228b48o$228b48o$228b12o12b24o$
228b12o12b24o$228b12o12b24o$228b12o12b24o$228b12o12b24o$228b12o12b24o$
228b12o12b24o$228b12o12b24o$228b12o12b24o$228b12o12b24o$228b12o12b24o$
228b12o12b24o13$240b12o$240b12o$240b12o$240b12o$240b12o$240b12o$240b
12o$240b12o$240b12o$240b12o$240b12o$240b12o$228b24o$228b24o$228b24o$
228b24o$228b24o$228b24o$228b24o$228b24o$228b24o$228b24o$228b24o$228b
24o$228b36o$228b36o$228b36o$228b36o$228b36o$228b36o$228b36o$228b36o$
228b36o$228b36o$228b36o$228b36o$252b12o$252b12o$252b12o$252b12o$252b
12o$252b12o$252b12o$252b12o$252b12o$252b12o$252b12o$252b12o$396b24o$
396b24o$396b24o$396b24o$396b24o$396b24o$396b24o$396b24o$396b24o$396b
24o$396b24o$396b24o$396b24o$396b24o$396b24o$396b24o$396b24o$396b24o$
396b24o$396b24o$396b24o$396b24o$396b24o$396b24o73$432b12o$432b12o$432b
12o$432b12o$432b12o$432b12o$432b12o$432b12o$432b12o$432b12o$432b12o$
432b12o$420b24o$420b24o$420b24o$420b24o$420b24o$420b24o$420b24o$420b
24o$420b24o$420b24o$420b24o$420b24o$408b12o36b12o$408b12o36b12o$408b
12o36b12o$408b12o36b12o$408b12o36b12o$408b12o36b12o$408b12o36b12o$408b
12o36b12o$408b12o36b12o$408b12o36b12o$408b12o36b12o$408b12o36b12o$420b
24o24b12o$420b24o24b12o$420b24o24b12o$420b24o24b12o$420b24o24b12o$420b
24o24b12o$420b24o24b12o$420b24o24b12o$420b24o24b12o$420b24o24b12o$420b
24o24b12o$420b24o24b12o$480b12o$480b12o$480b12o$480b12o$480b12o$480b
12o$480b12o$480b12o$480b12o$480b12o$480b12o$480b12o$444b12o12b12o$444b
12o12b12o$444b12o12b12o$444b12o12b12o$444b12o12b12o$444b12o12b12o$444b
12o12b12o$444b12o12b12o$444b12o12b12o$444b12o12b12o$444b12o12b12o$444b
12o12b12o$456b12o$456b12o$456b12o$456b12o$456b12o$456b12o$456b12o$456b
12o$456b12o$456b12o$456b12o$456b12o$456b12o$456b12o$456b12o$456b12o$
456b12o$456b12o$456b12o$456b12o$456b12o$456b12o$456b12o$456b12o$456b
24o$456b24o$456b24o$456b24o$456b24o$456b24o$456b24o$456b24o$456b24o$
456b24o$456b24o$456b24o$456b24o$456b24o$456b24o$456b24o$456b24o$456b
24o$456b24o$456b24o$456b24o$456b24o$456b24o$456b24o25$156b12o120b12o$
156b12o120b12o$156b12o120b12o$156b12o120b12o$156b12o120b12o$156b12o
120b12o$156b12o120b12o$156b12o120b12o$156b12o120b12o$156b12o120b12o$
156b12o120b12o$156b12o120b12o$144b60o60b12o12b24o132b12o$144b60o60b12o
12b24o132b12o$144b60o60b12o12b24o132b12o$144b60o60b12o12b24o132b12o$
144b60o60b12o12b24o132b12o$144b60o60b12o12b24o132b12o$144b60o60b12o12b
24o132b12o$144b60o60b12o12b24o132b12o$144b60o60b12o12b24o132b12o$144b
60o60b12o12b24o132b12o$144b60o60b12o12b24o132b12o$144b60o60b12o12b24o
132b12o$132b12o120b12o36b12o108b12o$132b12o120b12o36b12o108b12o$132b
12o120b12o36b12o108b12o$132b12o120b12o36b12o108b12o$132b12o120b12o36b
12o108b12o$132b12o120b12o36b12o108b12o$132b12o120b12o36b12o108b12o$
132b12o120b12o36b12o108b12o$132b12o120b12o36b12o108b12o$132b12o120b12o
36b12o108b12o$132b12o120b12o36b12o108b12o$132b12o120b12o36b12o108b12o$
144b24o96b36o12b12o108b24o$144b24o96b36o12b12o108b24o$144b24o96b36o12b
12o108b24o$144b24o96b36o12b12o108b24o$144b24o96b36o12b12o108b24o$144b
24o96b36o12b12o108b24o$144b24o96b36o12b12o108b24o$144b24o96b36o12b12o
108b24o$144b24o96b36o12b12o108b24o$144b24o96b36o12b12o108b24o$144b24o
96b36o12b12o108b24o$144b24o96b36o12b12o108b24o$156b24o108b24o144b12o$
156b24o108b24o144b12o$156b24o108b24o144b12o$156b24o108b24o144b12o$156b
24o108b24o144b12o$156b24o108b24o144b12o$156b24o108b24o144b12o$156b24o
108b24o144b12o$156b24o108b24o144b12o$156b24o108b24o144b12o$156b24o108b
24o144b12o$156b24o108b24o144b12o$24o156b12o252b36o$24o156b12o252b36o$
24o156b12o252b36o$24o156b12o252b36o$24o156b12o252b36o$24o156b12o252b
36o$24o156b12o252b36o$24o156b12o252b36o$24o156b12o252b36o$24o156b12o
252b36o$24o156b12o252b36o$24o156b12o252b36o$24o420b36o$24o420b36o$24o
420b36o$24o420b36o$24o420b36o$24o420b36o$24o420b36o$24o420b36o$24o420b
36o$24o420b36o$24o420b36o$24o420b36o73$96b24o$96b24o$96b24o$96b24o$96b
24o$96b24o$96b24o$96b24o$96b24o$96b24o$96b24o$96b24o$96b24o132b24o$96b
24o132b24o$96b24o132b24o$96b24o132b24o$96b24o132b24o$96b24o132b24o$96b
24o132b24o$96b24o132b24o$96b24o132b24o$96b24o132b24o$96b24o132b24o$96b
24o132b24o$228b24o24b12o$228b24o24b12o$228b24o24b12o$228b24o24b12o$
228b24o24b12o$228b24o24b12o$228b24o24b12o$228b24o24b12o$228b24o24b12o$
228b24o24b12o$228b24o24b12o$228b24o24b12o$288b12o36b12o$288b12o36b12o$
288b12o36b12o$288b12o36b12o$288b12o36b12o$288b12o36b12o$288b12o36b12o$
288b12o36b12o$288b12o36b12o$288b12o36b12o$288b12o36b12o$288b12o36b12o$
216b12o60b12o36b12o$216b12o60b12o36b12o$216b12o60b12o36b12o$216b12o60b
12o36b12o$216b12o60b12o36b12o$216b12o60b12o36b12o$216b12o60b12o36b12o$
216b12o60b12o36b12o$216b12o60b12o36b12o$216b12o60b12o36b12o$216b12o60b
12o36b12o$216b12o60b12o36b12o$228b12o24b24o36b12o12b12o$228b12o24b24o
36b12o12b12o$228b12o24b24o36b12o12b12o$228b12o24b24o36b12o12b12o$228b
12o24b24o36b12o12b12o$228b12o24b24o36b12o12b12o$228b12o24b24o36b12o12b
12o$228b12o24b24o36b12o12b12o$228b12o24b24o36b12o12b12o$228b12o24b24o
36b12o12b12o$228b12o24b24o36b12o12b12o$228b12o24b24o36b12o12b12o$240b
36o60b12o$240b36o60b12o$240b36o60b12o$240b36o60b12o$240b36o60b12o$240b
36o60b12o$240b36o60b12o$240b36o60b12o$240b36o60b12o$240b36o60b12o$240b
36o60b12o$240b36o60b12o$336b12o$336b12o$336b12o$336b12o$336b12o$336b
12o$336b12o$336b12o$336b12o$336b12o$336b12o$336b12o!
127:1 B3/S234c User:Confocal/R (isotropic rules, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

User avatar
muzik
Posts: 5612
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Defining volatility for spaceships

Post by muzik » August 27th, 2023, 6:12 am

confocaloid wrote:
August 10th, 2023, 4:15 pm
(hopefully correct)

Code: Select all

#C c/12 diagonal
#C https://conwaylife.com/wiki/2-engine_Cordership
x = 492, y = 588, rule = R13,C0,S5-7,B5-7,NW000000000000000000000000000000000000000000000000000000002000000000002000000000002000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002000000000001000000000002000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002000000000002000000000002
228b24o$228b24o$228b24o$228b24o$228b24o$228b24o$228b24o$228b24o$228b
24o$228b24o$228b24o$228b24o$228b48o$228b48o$228b48o$228b48o$228b48o$
228b48o$228b48o$228b48o$228b48o$228b48o$228b48o$228b48o$228b12o12b24o$
228b12o12b24o$228b12o12b24o$228b12o12b24o$228b12o12b24o$228b12o12b24o$
228b12o12b24o$228b12o12b24o$228b12o12b24o$228b12o12b24o$228b12o12b24o$
228b12o12b24o13$240b12o$240b12o$240b12o$240b12o$240b12o$240b12o$240b
12o$240b12o$240b12o$240b12o$240b12o$240b12o$228b24o$228b24o$228b24o$
228b24o$228b24o$228b24o$228b24o$228b24o$228b24o$228b24o$228b24o$228b
24o$228b36o$228b36o$228b36o$228b36o$228b36o$228b36o$228b36o$228b36o$
228b36o$228b36o$228b36o$228b36o$252b12o$252b12o$252b12o$252b12o$252b
12o$252b12o$252b12o$252b12o$252b12o$252b12o$252b12o$252b12o$396b24o$
396b24o$396b24o$396b24o$396b24o$396b24o$396b24o$396b24o$396b24o$396b
24o$396b24o$396b24o$396b24o$396b24o$396b24o$396b24o$396b24o$396b24o$
396b24o$396b24o$396b24o$396b24o$396b24o$396b24o73$432b12o$432b12o$432b
12o$432b12o$432b12o$432b12o$432b12o$432b12o$432b12o$432b12o$432b12o$
432b12o$420b24o$420b24o$420b24o$420b24o$420b24o$420b24o$420b24o$420b
24o$420b24o$420b24o$420b24o$420b24o$408b12o36b12o$408b12o36b12o$408b
12o36b12o$408b12o36b12o$408b12o36b12o$408b12o36b12o$408b12o36b12o$408b
12o36b12o$408b12o36b12o$408b12o36b12o$408b12o36b12o$408b12o36b12o$420b
24o24b12o$420b24o24b12o$420b24o24b12o$420b24o24b12o$420b24o24b12o$420b
24o24b12o$420b24o24b12o$420b24o24b12o$420b24o24b12o$420b24o24b12o$420b
24o24b12o$420b24o24b12o$480b12o$480b12o$480b12o$480b12o$480b12o$480b
12o$480b12o$480b12o$480b12o$480b12o$480b12o$480b12o$444b12o12b12o$444b
12o12b12o$444b12o12b12o$444b12o12b12o$444b12o12b12o$444b12o12b12o$444b
12o12b12o$444b12o12b12o$444b12o12b12o$444b12o12b12o$444b12o12b12o$444b
12o12b12o$456b12o$456b12o$456b12o$456b12o$456b12o$456b12o$456b12o$456b
12o$456b12o$456b12o$456b12o$456b12o$456b12o$456b12o$456b12o$456b12o$
456b12o$456b12o$456b12o$456b12o$456b12o$456b12o$456b12o$456b12o$456b
24o$456b24o$456b24o$456b24o$456b24o$456b24o$456b24o$456b24o$456b24o$
456b24o$456b24o$456b24o$456b24o$456b24o$456b24o$456b24o$456b24o$456b
24o$456b24o$456b24o$456b24o$456b24o$456b24o$456b24o25$156b12o120b12o$
156b12o120b12o$156b12o120b12o$156b12o120b12o$156b12o120b12o$156b12o
120b12o$156b12o120b12o$156b12o120b12o$156b12o120b12o$156b12o120b12o$
156b12o120b12o$156b12o120b12o$144b60o60b12o12b24o132b12o$144b60o60b12o
12b24o132b12o$144b60o60b12o12b24o132b12o$144b60o60b12o12b24o132b12o$
144b60o60b12o12b24o132b12o$144b60o60b12o12b24o132b12o$144b60o60b12o12b
24o132b12o$144b60o60b12o12b24o132b12o$144b60o60b12o12b24o132b12o$144b
60o60b12o12b24o132b12o$144b60o60b12o12b24o132b12o$144b60o60b12o12b24o
132b12o$132b12o120b12o36b12o108b12o$132b12o120b12o36b12o108b12o$132b
12o120b12o36b12o108b12o$132b12o120b12o36b12o108b12o$132b12o120b12o36b
12o108b12o$132b12o120b12o36b12o108b12o$132b12o120b12o36b12o108b12o$
132b12o120b12o36b12o108b12o$132b12o120b12o36b12o108b12o$132b12o120b12o
36b12o108b12o$132b12o120b12o36b12o108b12o$132b12o120b12o36b12o108b12o$
144b24o96b36o12b12o108b24o$144b24o96b36o12b12o108b24o$144b24o96b36o12b
12o108b24o$144b24o96b36o12b12o108b24o$144b24o96b36o12b12o108b24o$144b
24o96b36o12b12o108b24o$144b24o96b36o12b12o108b24o$144b24o96b36o12b12o
108b24o$144b24o96b36o12b12o108b24o$144b24o96b36o12b12o108b24o$144b24o
96b36o12b12o108b24o$144b24o96b36o12b12o108b24o$156b24o108b24o144b12o$
156b24o108b24o144b12o$156b24o108b24o144b12o$156b24o108b24o144b12o$156b
24o108b24o144b12o$156b24o108b24o144b12o$156b24o108b24o144b12o$156b24o
108b24o144b12o$156b24o108b24o144b12o$156b24o108b24o144b12o$156b24o108b
24o144b12o$156b24o108b24o144b12o$24o156b12o252b36o$24o156b12o252b36o$
24o156b12o252b36o$24o156b12o252b36o$24o156b12o252b36o$24o156b12o252b
36o$24o156b12o252b36o$24o156b12o252b36o$24o156b12o252b36o$24o156b12o
252b36o$24o156b12o252b36o$24o156b12o252b36o$24o420b36o$24o420b36o$24o
420b36o$24o420b36o$24o420b36o$24o420b36o$24o420b36o$24o420b36o$24o420b
36o$24o420b36o$24o420b36o$24o420b36o73$96b24o$96b24o$96b24o$96b24o$96b
24o$96b24o$96b24o$96b24o$96b24o$96b24o$96b24o$96b24o$96b24o132b24o$96b
24o132b24o$96b24o132b24o$96b24o132b24o$96b24o132b24o$96b24o132b24o$96b
24o132b24o$96b24o132b24o$96b24o132b24o$96b24o132b24o$96b24o132b24o$96b
24o132b24o$228b24o24b12o$228b24o24b12o$228b24o24b12o$228b24o24b12o$
228b24o24b12o$228b24o24b12o$228b24o24b12o$228b24o24b12o$228b24o24b12o$
228b24o24b12o$228b24o24b12o$228b24o24b12o$288b12o36b12o$288b12o36b12o$
288b12o36b12o$288b12o36b12o$288b12o36b12o$288b12o36b12o$288b12o36b12o$
288b12o36b12o$288b12o36b12o$288b12o36b12o$288b12o36b12o$288b12o36b12o$
216b12o60b12o36b12o$216b12o60b12o36b12o$216b12o60b12o36b12o$216b12o60b
12o36b12o$216b12o60b12o36b12o$216b12o60b12o36b12o$216b12o60b12o36b12o$
216b12o60b12o36b12o$216b12o60b12o36b12o$216b12o60b12o36b12o$216b12o60b
12o36b12o$216b12o60b12o36b12o$228b12o24b24o36b12o12b12o$228b12o24b24o
36b12o12b12o$228b12o24b24o36b12o12b12o$228b12o24b24o36b12o12b12o$228b
12o24b24o36b12o12b12o$228b12o24b24o36b12o12b12o$228b12o24b24o36b12o12b
12o$228b12o24b24o36b12o12b12o$228b12o24b24o36b12o12b12o$228b12o24b24o
36b12o12b12o$228b12o24b24o36b12o12b12o$228b12o24b24o36b12o12b12o$240b
36o60b12o$240b36o60b12o$240b36o60b12o$240b36o60b12o$240b36o60b12o$240b
36o60b12o$240b36o60b12o$240b36o60b12o$240b36o60b12o$240b36o60b12o$240b
36o60b12o$240b36o60b12o$336b12o$336b12o$336b12o$336b12o$336b12o$336b
12o$336b12o$336b12o$336b12o$336b12o$336b12o$336b12o!
This appears to break down starting at generation 68, starting at the bottom (the lowest square is instead a rectangle).

EDIT: have been alerted to the fact this is an issue with LifeViewer and the rule is correct.

User avatar
confocaloid
Posts: 2723
Joined: February 8th, 2022, 3:15 pm

Re: Defining volatility for spaceships

Post by confocaloid » December 4th, 2023, 1:09 am

Pufferfish spaceship as an oscillator:

Code: Select all

x = 74, y = 106, rule = R3,C0,S5-7,B5-7,NW0000000002020200000000020102000000000202020000000
12b4o$12b4o$10b2o4b2o12b4o$10b2o4b2o12b4o$8b2o8b2o10b2o2b4o$8b2o8b2o
10b2o2b4o$10b2o4b2o12b2o2b2o2b2o$10b2o4b2o12b2o2b2o2b2o$12b4o22b4o$12b
4o22b4o$36b4o12b4o8b2o$36b4o12b4o8b2o$36b2o14b4o6b8o$36b2o14b4o6b8o$
60b2o6b4o$60b2o6b4o$58b2o2b2o6b4o$58b2o2b2o6b4o$34b4o8b4o4b2o10b2o2b2o
$34b4o8b4o4b2o10b2o2b2o$34b4o8b2o6b2o6b4o2b2o$34b4o8b2o6b2o6b4o2b2o$
58b2o2b4o$58b2o2b4o3$58b2o2b4o$58b2o2b4o$34b4o8b2o6b2o6b4o2b2o$34b4o8b
2o6b2o6b4o2b2o$34b4o8b4o4b2o10b2o2b2o$34b4o8b4o4b2o10b2o2b2o$58b2o2b2o
6b4o$58b2o2b2o6b4o$20b2o38b2o6b4o$20b2o38b2o6b4o$18b2o2b2o12b4o12b4o6b
8o$18b2o2b2o12b4o12b4o6b8o$36b2o2b2o10b4o8b2o$36b2o2b2o10b4o8b2o$18b4o
14b2o2b4o$18b4o14b2o2b4o$32b4o2b4o$32b4o2b4o$28b4o6b2o$28b4o6b2o$28b4o
2b4o$28b4o2b4o$32b2o$32b2o9$22b2o2b4o6b4o$22b2o2b4o6b4o$24b2o4b2o2b4o
2b2o$24b2o4b2o2b4o2b2o$24b2o8b2o4b4o16b2o$24b2o8b2o4b4o16b2o$38b4o16b
2o2b2o$38b4o16b2o2b2o$24b2o12b2o6b4o18b2o$24b2o12b2o6b4o18b2o$24b2o6b
6o20b4o8b2o$24b2o6b6o20b4o8b2o$24b2o4b2o24b2o2b2o8b4o$24b2o4b2o24b2o2b
2o8b4o$26b2o12b4o10b4o4b2o4b4o$26b2o12b4o10b4o4b2o4b4o$28b4o8b4o12b2o
4b2o4b2o$28b4o8b4o12b2o4b2o4b2o$58b4o$58b4o3$58b4o$58b4o$28b4o8b4o12b
2o4b2o4b2o$28b4o8b4o12b2o4b2o4b2o$28b4o8b4o10b4o4b2o4b4o$28b4o8b4o10b
4o4b2o4b4o$28b2o2b2o22b2o2b2o8b4o$28b2o2b2o22b2o2b2o8b4o$28b2o28b4o8b
2o$28b2o28b4o8b2o$28b2o4b4o8b4o18b2o$28b2o4b4o8b4o18b2o$28b2o2b4o2b2o
18b2o2b2o$28b2o2b4o2b2o18b2o2b2o$28b2o8b4o18b2o$28b2o8b4o18b2o$4o8b4o
8b4o8b4o$4o8b4o8b4o8b4o$2o12b2o6b2o2b2o8b2o$2o12b2o6b2o2b2o8b2o$4o8b4o
6b4o$4o8b4o6b4o$22b6o$22b6o$24b4o$24b4o!
Edit: synthesis of a longer spaceship

Code: Select all

x = 570, y = 386, rule = R3,C0,S5-7,B5-7,NW0000000002020200000000020102000000000202020000000
182b2o$182b2o$184b2o378b2o$184b2o378b2o$180b6o378b2o2b2o$180b6o378b2o
2b2o$564b4o$564b4o$194b2o$194b2o$196b2o$196b2o$192b6o$192b6o15$180b2o
2b2o$180b2o2b2o$182b4o$182b4o$182b2o$182b2o15$216b2o$216b2o$218b4o$
218b4o$216b4o$216b4o7$212b2o$212b2o$208b2o2b2o$208b2o2b2o$210b4o12b2o
10b2o$210b4o12b2o10b2o$228b4o2b2o2b2o$228b4o2b2o2b2o$226b4o6b4o$226b4o
6b4o17$286b2o$286b2o$288b4o$288b4o$286b4o$286b4o3$466b2o2b2o$466b2o2b
2o$268b2o196b4o$268b2o196b4o$270b2o16b2o178b2o$270b2o16b2o178b2o$266b
6o8b2o8b4o$266b6o8b2o8b4o$282b2o4b4o$282b2o4b4o$278b6o$278b6o21$476b2o
$476b2o$476b2o2b2o$476b2o2b2o$322b2o152b4o$322b2o152b4o$324b4o$324b4o$
322b4o$322b4o$284b2o$284b2o$286b2o$286b2o$282b6o$282b6o7$10b2o146b2o2b
2o$10b2o146b2o2b2o$6b2o2b2o146b4o$6b2o2b2o146b4o$8b4o148b2o$8b4o148b2o
19$46b2o142b2o$46b2o142b2o$42b2o2b2o140b2o$42b2o2b2o140b2o$44b4o140b6o
$44b4o140b6o3$58b2o$58b2o$54b2o2b2o$54b2o2b2o$56b4o$56b4o21$64b2o$64b
2o$66b2o$66b2o$62b6o$62b6o$98b2o$98b2o$100b4o46b2o$100b4o46b2o$98b4o
46b2o$98b4o46b2o$148b6o$148b6o7$126b2o2b2o$126b2o2b2o$126b4o$126b4o$
128b2o$128b2o5$114b2o$114b2o$116b4o$116b4o$114b4o$114b4o7$82b2o$82b2o$
78b2o2b2o46b2o2b2o$78b2o2b2o46b2o2b2o$80b4o46b4o$80b4o46b4o$92b6o34b2o
$92b6o34b2o$96b2o$96b2o$94b2o$94b2o$132b4o$132b4o$134b4o$134b4o$132b2o
20b4o$132b2o20b4o$154b2o2b2o$154b2o2b2o$154b2o$154b2o3$454b2o$454b2o$
270b4o178b4o$270b4o178b4o$268b2o2b2o178b2o2b2o$268b2o2b2o178b2o2b2o$
272b2o$272b2o7$304b4o$304b4o$306b4o$306b4o$88b6o210b2o$88b6o210b2o$92b
2o4b4o$92b2o4b4o$2b4o70b6o8b2o8b4o$2b4o70b6o8b2o8b4o$2o2b2o74b2o16b2o
46b2o302b2o$2o2b2o74b2o16b2o46b2o302b2o$4b2o72b2o64b4o300b4o$4b2o72b2o
64b4o300b4o$144b2o2b2o298b2o2b2o$144b2o2b2o298b2o2b2o3$96b4o$96b4o$98b
4o$98b4o$96b2o372b6o$96b2o372b6o$288b4o178b2o$288b4o178b2o$290b4o178b
2o$290b4o178b2o$288b2o$288b2o$252b6o$252b6o$256b2o$256b2o$254b2o$254b
2o9$54b6o$54b6o$58b2o$58b2o$56b2o$56b2o$190b4o$190b4o$42b6o142b2o2b2o$
42b6o142b2o2b2o$46b2o142b2o$46b2o142b2o$44b2o$44b2o17$212b2o$212b2o$
212b4o$212b4o$210b2o2b2o$210b2o2b2o5$198b6o$198b6o$202b2o$202b2o$200b
2o$200b2o$230b2o$230b2o$230b4o$230b4o$216b6o6b2o2b2o$216b6o6b2o2b2o$
220b2o$220b2o$218b2o$218b2o!
Last edited by confocaloid on December 5th, 2023, 8:30 am, edited 1 time in total.

Haycat2009
Posts: 737
Joined: April 26th, 2023, 5:47 am
Location: Bahar Junction, Zumaland

Re: Defining volatility for spaceships

Post by Haycat2009 » December 5th, 2023, 4:30 am

In my opinion, only strict volatility is defined for spaceships - technically, the volatility of all spaceships is 1 or it would be a puffer/wickstretcher.
~ Haycat Durnak, a hard-working editor
Also, support Conway and Friends story mode!
I mean no harm to those who have tested me. But do not take this for granted.

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dvgrn
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Re: Defining volatility for spaceships

Post by dvgrn » December 5th, 2023, 8:07 am

Haycat2009 wrote:
December 5th, 2023, 4:30 am
In my opinion, only strict volatility is defined for spaceships - technically, the volatility of all spaceships is 1 or it would be a puffer/wickstretcher.
Not sure what you mean by "technically". Wouldn't the volatility of, let's say, a very long pufferfish spaceship technically be lower than the shortest possible pufferfish spaceship -- for pretty much any definition of "technically"?

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confocaloid
Posts: 2723
Joined: February 8th, 2022, 3:15 pm

Re: Defining volatility for spaceships

Post by confocaloid » December 20th, 2023, 9:38 am

Unfortunately for higher denominators of simplified speed these "oscillatorified spaceships" quickly become slower to run in Golly/LifeViewer. Simplified c/10:

Code: Select all

#C Oscillatorifications of the fireship, copperhead and cottonmouth
x = 360, y = 390, rule = R11,C0,S5-7,B5-7,NW0200000000020000000002000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002000000000100000000020000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000020000000002000000000200000000000000000000000000000000000000000000000
280b20o20b20o$280b20o20b20o$280b20o20b20o$280b20o20b20o$280b20o20b20o$
280b20o20b20o$280b20o20b20o$280b20o20b20o$280b20o20b20o$280b20o20b20o$
300b20o$300b20o$300b20o$300b20o$300b20o$300b20o$300b20o$300b20o$300b
20o$300b20o$300b20o$300b20o$300b20o$300b20o$300b20o$300b20o$300b20o$
300b20o$300b20o$300b20o$270b10o10b10o20b10o10b10o$270b10o10b10o20b10o
10b10o$270b10o10b10o20b10o10b10o$270b10o10b10o20b10o10b10o$270b10o10b
10o20b10o10b10o$270b10o10b10o20b10o10b10o$270b10o10b10o20b10o10b10o$
270b10o10b10o20b10o10b10o$270b10o10b10o20b10o10b10o$270b10o10b10o20b
10o10b10o$270b10o60b10o$270b10o60b10o$270b10o60b10o$270b10o60b10o$270b
10o60b10o$270b10o60b10o$270b10o60b10o$270b10o60b10o$270b10o60b10o$270b
10o60b10o11$270b10o60b10o$270b10o60b10o$270b10o60b10o$270b10o60b10o$
270b10o60b10o$270b10o60b10o$270b10o60b10o$270b10o60b10o$270b10o60b10o$
270b10o60b10o$280b20o20b20o$280b20o20b20o$280b20o20b20o$280b20o20b20o$
280b20o20b20o$280b20o20b20o$280b20o20b20o$280b20o20b20o$280b20o20b20o$
280b20o20b20o$290b40o$290b40o$290b40o$290b40o$290b40o$290b40o$290b40o$
290b40o$290b40o$290b40o11$260b30o40b30o$260b30o40b30o$260b30o40b30o$
260b30o40b30o$260b30o40b30o$260b30o40b30o$260b30o40b30o$260b30o40b30o$
260b30o40b30o$260b30o40b30o11$260b20o60b20o$260b20o60b20o$260b20o60b
20o$260b20o60b20o$260b20o60b20o$260b20o60b20o$260b20o60b20o$260b20o60b
20o$260b20o60b20o$260b20o60b20o$260b20o60b20o$260b20o60b20o$260b20o60b
20o$260b20o60b20o$260b20o60b20o$260b20o60b20o$260b20o60b20o$260b20o60b
20o$260b20o60b20o$260b20o60b20o11$270b10o60b10o$270b10o60b10o$270b10o
60b10o$270b10o60b10o$270b10o60b10o$270b10o60b10o$270b10o60b10o$270b10o
60b10o$270b10o60b10o$270b10o60b10o$270b10o10b10o20b10o10b10o$270b10o
10b10o20b10o10b10o$270b10o10b10o20b10o10b10o$270b10o10b10o20b10o10b10o
$270b10o10b10o20b10o10b10o$270b10o10b10o20b10o10b10o$270b10o10b10o20b
10o10b10o$270b10o10b10o20b10o10b10o$270b10o10b10o20b10o10b10o$270b10o
10b10o20b10o10b10o11$280b20o20b20o$280b20o20b20o$280b20o20b20o$280b20o
20b20o$280b20o20b20o$280b20o20b20o$280b20o20b20o$280b20o20b20o$280b20o
20b20o$280b20o20b20o$270b10o60b10o$270b10o60b10o$270b10o60b10o$270b10o
60b10o$270b10o60b10o$270b10o60b10o$270b10o60b10o$270b10o60b10o$270b10o
60b10o$270b10o60b10o11$40b20o110b20o110b20o$40b20o110b20o110b20o$40b
20o110b20o110b20o$40b20o110b20o110b20o$40b20o110b20o110b20o$40b20o110b
20o110b20o$40b20o110b20o110b20o$40b20o110b20o110b20o$40b20o110b20o110b
20o$40b20o110b20o110b20o$30b10o20b10o90b10o20b10o90b10o20b10o$30b10o
20b10o90b10o20b10o90b10o20b10o$30b10o20b10o90b10o20b10o90b10o20b10o$
30b10o20b10o90b10o20b10o90b10o20b10o$30b10o20b10o90b10o20b10o90b10o20b
10o$30b10o20b10o90b10o20b10o90b10o20b10o$30b10o20b10o90b10o20b10o90b
10o20b10o$30b10o20b10o90b10o20b10o90b10o20b10o$30b10o20b10o90b10o20b
10o90b10o20b10o$30b10o20b10o90b10o20b10o90b10o20b10o$30b10o20b10o90b
10o20b10o90b10o20b10o$30b10o20b10o90b10o20b10o90b10o20b10o$30b10o20b
10o90b10o20b10o90b10o20b10o$30b10o20b10o90b10o20b10o90b10o20b10o$30b
10o20b10o90b10o20b10o90b10o20b10o$30b10o20b10o90b10o20b10o90b10o20b10o
$30b10o20b10o90b10o20b10o90b10o20b10o$30b10o20b10o90b10o20b10o90b10o
20b10o$30b10o20b10o90b10o20b10o90b10o20b10o$30b10o20b10o90b10o20b10o
90b10o20b10o$20b10o40b10o70b10o40b10o70b10o40b10o$20b10o40b10o70b10o
40b10o70b10o40b10o$20b10o40b10o70b10o40b10o70b10o40b10o$20b10o40b10o
70b10o40b10o70b10o40b10o$20b10o40b10o70b10o40b10o70b10o40b10o$20b10o
40b10o70b10o40b10o70b10o40b10o$20b10o40b10o70b10o40b10o70b10o40b10o$
20b10o40b10o70b10o40b10o70b10o40b10o$20b10o40b10o70b10o40b10o70b10o40b
10o$20b10o40b10o70b10o40b10o70b10o40b10o$20b10o40b10o70b10o40b10o70b
10o40b10o$20b10o40b10o70b10o40b10o70b10o40b10o$20b10o40b10o70b10o40b
10o70b10o40b10o$20b10o40b10o70b10o40b10o70b10o40b10o$20b10o40b10o70b
10o40b10o70b10o40b10o$20b10o40b10o70b10o40b10o70b10o40b10o$20b10o40b
10o70b10o40b10o70b10o40b10o$20b10o40b10o70b10o40b10o70b10o40b10o$20b
10o40b10o70b10o40b10o70b10o40b10o$20b10o40b10o70b10o40b10o70b10o40b10o
$30b40o90b40o90b40o$30b40o90b40o90b40o$30b40o90b40o90b40o$30b40o90b40o
90b40o$30b40o90b40o90b40o$30b40o90b40o90b40o$30b40o90b40o90b40o$30b40o
90b40o90b40o$30b40o90b40o90b40o$30b40o90b40o90b40o$20b20o20b20o70b20o
20b20o70b20o20b20o$20b20o20b20o70b20o20b20o70b20o20b20o$20b20o20b20o
70b20o20b20o70b20o20b20o$20b20o20b20o70b20o20b20o70b20o20b20o$20b20o
20b20o70b20o20b20o70b20o20b20o$20b20o20b20o70b20o20b20o70b20o20b20o$
20b20o20b20o70b20o20b20o70b20o20b20o$20b20o20b20o70b20o20b20o70b20o20b
20o$20b20o20b20o70b20o20b20o70b20o20b20o$20b20o20b20o70b20o20b20o70b
20o20b20o$20b10o40b10o70b10o40b10o70b10o40b10o$20b10o40b10o70b10o40b
10o70b10o40b10o$20b10o40b10o70b10o40b10o70b10o40b10o$20b10o40b10o70b
10o40b10o70b10o40b10o$20b10o40b10o70b10o40b10o70b10o40b10o$20b10o40b
10o70b10o40b10o70b10o40b10o$20b10o40b10o70b10o40b10o70b10o40b10o$20b
10o40b10o70b10o40b10o70b10o40b10o$20b10o40b10o70b10o40b10o70b10o40b10o
$20b10o40b10o70b10o40b10o70b10o40b10o$20b10o40b10o70b10o40b10o70b10o
40b10o$20b10o40b10o70b10o40b10o70b10o40b10o$20b10o40b10o70b10o40b10o
70b10o40b10o$20b10o40b10o70b10o40b10o70b10o40b10o$20b10o40b10o70b10o
40b10o70b10o40b10o$20b10o40b10o70b10o40b10o70b10o40b10o$20b10o40b10o
70b10o40b10o70b10o40b10o$20b10o40b10o70b10o40b10o70b10o40b10o$20b10o
40b10o70b10o40b10o70b10o40b10o$20b10o40b10o70b10o40b10o70b10o40b10o21$
30b40o90b40o90b40o$30b40o90b40o90b40o$30b40o90b40o90b40o$30b40o90b40o
90b40o$30b40o90b40o90b40o$30b40o90b40o90b40o$30b40o90b40o90b40o$30b40o
90b40o90b40o$30b40o90b40o90b40o$30b40o90b40o90b40o$40b20o110b20o110b
20o$40b20o110b20o110b20o$40b20o110b20o110b20o$40b20o110b20o110b20o$40b
20o110b20o110b20o$40b20o110b20o110b20o$40b20o110b20o110b20o$40b20o110b
20o110b20o$40b20o110b20o110b20o$40b20o110b20o110b20o11$10b20o40b20o$
10b20o40b20o$10b20o40b20o$10b20o40b20o$10b20o40b20o$10b20o40b20o$10b
20o40b20o$10b20o40b20o$10b20o40b20o$10b20o40b20o$10o20b10o20b10o20b10o
$10o20b10o20b10o20b10o$10o20b10o20b10o20b10o$10o20b10o20b10o20b10o$10o
20b10o20b10o20b10o$10o20b10o20b10o20b10o$10o20b10o20b10o20b10o$10o20b
10o20b10o20b10o$10o20b10o20b10o20b10o$10o20b10o20b10o20b10o$10b30o20b
30o$10b30o20b30o$10b30o20b30o$10b30o20b30o$10b30o20b30o$10b30o20b30o$
10b30o20b30o$10b30o20b30o$10b30o20b30o$10b30o20b30o$10b20o40b20o$10b
20o40b20o$10b20o40b20o$10b20o40b20o$10b20o40b20o$10b20o40b20o$10b20o
40b20o$10b20o40b20o$10b20o40b20o$10b20o40b20o!

Code: Select all

#C An oscillatorification of the 2c/20 fireship tagalong
x = 340, y = 230, rule = R11,C0,S5-7,B5-7,NW0200000000020000000002000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002000000000100000000020000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000020000000002000000000200000000000000000000000000000000000000000000000
40b20o100b20o100b20o$40b20o100b20o100b20o$40b20o100b20o100b20o$40b20o
100b20o100b20o$40b20o100b20o100b20o$40b20o100b20o100b20o$40b20o100b20o
100b20o$40b20o100b20o100b20o$40b20o100b20o100b20o$40b20o100b20o100b20o
$40b20o100b20o100b20o$40b20o100b20o100b20o$40b20o100b20o100b20o$40b20o
100b20o100b20o$40b20o100b20o100b20o$40b20o100b20o100b20o$40b20o100b20o
100b20o$40b20o100b20o100b20o$40b20o100b20o100b20o$40b20o100b20o100b20o
$30b10o20b10o80b10o20b10o80b10o20b10o$30b10o20b10o80b10o20b10o80b10o
20b10o$30b10o20b10o80b10o20b10o80b10o20b10o$30b10o20b10o80b10o20b10o
80b10o20b10o$30b10o20b10o80b10o20b10o80b10o20b10o$30b10o20b10o80b10o
20b10o80b10o20b10o$30b10o20b10o80b10o20b10o80b10o20b10o$30b10o20b10o
80b10o20b10o80b10o20b10o$30b10o20b10o80b10o20b10o80b10o20b10o$30b10o
20b10o80b10o20b10o80b10o20b10o$30b40o80b40o80b40o$30b40o80b40o80b40o$
30b40o80b40o80b40o$30b40o80b40o80b40o$30b40o80b40o80b40o$30b40o80b40o
80b40o$30b40o80b40o80b40o$30b40o80b40o80b40o$30b40o80b40o80b40o$30b40o
80b40o80b40o$20b10o10b20o10b10o60b10o10b20o10b10o60b10o10b20o10b10o$
20b10o10b20o10b10o60b10o10b20o10b10o60b10o10b20o10b10o$20b10o10b20o10b
10o60b10o10b20o10b10o60b10o10b20o10b10o$20b10o10b20o10b10o60b10o10b20o
10b10o60b10o10b20o10b10o$20b10o10b20o10b10o60b10o10b20o10b10o60b10o10b
20o10b10o$20b10o10b20o10b10o60b10o10b20o10b10o60b10o10b20o10b10o$20b
10o10b20o10b10o60b10o10b20o10b10o60b10o10b20o10b10o$20b10o10b20o10b10o
60b10o10b20o10b10o60b10o10b20o10b10o$20b10o10b20o10b10o60b10o10b20o10b
10o60b10o10b20o10b10o$20b10o10b20o10b10o60b10o10b20o10b10o60b10o10b20o
10b10o$30b10o20b10o80b10o20b10o80b10o20b10o$30b10o20b10o80b10o20b10o
80b10o20b10o$30b10o20b10o80b10o20b10o80b10o20b10o$30b10o20b10o80b10o
20b10o80b10o20b10o$30b10o20b10o80b10o20b10o80b10o20b10o$30b10o20b10o
80b10o20b10o80b10o20b10o$30b10o20b10o80b10o20b10o80b10o20b10o$30b10o
20b10o80b10o20b10o80b10o20b10o$30b10o20b10o80b10o20b10o80b10o20b10o$
30b10o20b10o80b10o20b10o80b10o20b10o11$20b20o20b20o60b20o20b20o60b20o
20b20o$20b20o20b20o60b20o20b20o60b20o20b20o$20b20o20b20o60b20o20b20o
60b20o20b20o$20b20o20b20o60b20o20b20o60b20o20b20o$20b20o20b20o60b20o
20b20o60b20o20b20o$20b20o20b20o60b20o20b20o60b20o20b20o$20b20o20b20o
60b20o20b20o60b20o20b20o$20b20o20b20o60b20o20b20o60b20o20b20o$20b20o
20b20o60b20o20b20o60b20o20b20o$20b20o20b20o60b20o20b20o60b20o20b20o$
10b10o60b10o40b10o60b10o40b10o60b10o$10b10o60b10o40b10o60b10o40b10o60b
10o$10b10o60b10o40b10o60b10o40b10o60b10o$10b10o60b10o40b10o60b10o40b
10o60b10o$10b10o60b10o40b10o60b10o40b10o60b10o$10b10o60b10o40b10o60b
10o40b10o60b10o$10b10o60b10o40b10o60b10o40b10o60b10o$10b10o60b10o40b
10o60b10o40b10o60b10o$10b10o60b10o40b10o60b10o40b10o60b10o$10b10o60b
10o40b10o60b10o40b10o60b10o11$20b10o40b10o60b10o40b10o60b10o40b10o$20b
10o40b10o60b10o40b10o60b10o40b10o$20b10o40b10o60b10o40b10o60b10o40b10o
$20b10o40b10o60b10o40b10o60b10o40b10o$20b10o40b10o60b10o40b10o60b10o
40b10o$20b10o40b10o60b10o40b10o60b10o40b10o$20b10o40b10o60b10o40b10o
60b10o40b10o$20b10o40b10o60b10o40b10o60b10o40b10o$20b10o40b10o60b10o
40b10o60b10o40b10o$20b10o40b10o60b10o40b10o60b10o40b10o$30b10o20b10o
80b10o20b10o80b10o20b10o$30b10o20b10o80b10o20b10o80b10o20b10o$30b10o
20b10o80b10o20b10o80b10o20b10o$30b10o20b10o80b10o20b10o80b10o20b10o$
30b10o20b10o80b10o20b10o80b10o20b10o$30b10o20b10o80b10o20b10o80b10o20b
10o$30b10o20b10o80b10o20b10o80b10o20b10o$30b10o20b10o80b10o20b10o80b
10o20b10o$30b10o20b10o80b10o20b10o80b10o20b10o$30b10o20b10o80b10o20b
10o80b10o20b10o$40b20o100b20o100b20o$40b20o100b20o100b20o$40b20o100b
20o100b20o$40b20o100b20o100b20o$40b20o100b20o100b20o$40b20o100b20o100b
20o$40b20o100b20o100b20o$40b20o100b20o100b20o$40b20o100b20o100b20o$40b
20o100b20o100b20o11$10b20o40b20o40b20o40b20o40b20o40b20o$10b20o40b20o
40b20o40b20o40b20o40b20o$10b20o40b20o40b20o40b20o40b20o40b20o$10b20o
40b20o40b20o40b20o40b20o40b20o$10b20o40b20o40b20o40b20o40b20o40b20o$
10b20o40b20o40b20o40b20o40b20o40b20o$10b20o40b20o40b20o40b20o40b20o40b
20o$10b20o40b20o40b20o40b20o40b20o40b20o$10b20o40b20o40b20o40b20o40b
20o40b20o$10b20o40b20o40b20o40b20o40b20o40b20o$10o20b10o20b10o20b10o
20b10o20b10o20b10o20b10o20b10o20b10o20b10o20b10o$10o20b10o20b10o20b10o
20b10o20b10o20b10o20b10o20b10o20b10o20b10o20b10o$10o20b10o20b10o20b10o
20b10o20b10o20b10o20b10o20b10o20b10o20b10o20b10o$10o20b10o20b10o20b10o
20b10o20b10o20b10o20b10o20b10o20b10o20b10o20b10o$10o20b10o20b10o20b10o
20b10o20b10o20b10o20b10o20b10o20b10o20b10o20b10o$10o20b10o20b10o20b10o
20b10o20b10o20b10o20b10o20b10o20b10o20b10o20b10o$10o20b10o20b10o20b10o
20b10o20b10o20b10o20b10o20b10o20b10o20b10o20b10o$10o20b10o20b10o20b10o
20b10o20b10o20b10o20b10o20b10o20b10o20b10o20b10o$10o20b10o20b10o20b10o
20b10o20b10o20b10o20b10o20b10o20b10o20b10o20b10o$10o20b10o20b10o20b10o
20b10o20b10o20b10o20b10o20b10o20b10o20b10o20b10o$10b20o40b20o40b20o40b
20o40b20o40b20o$10b20o40b20o40b20o40b20o40b20o40b20o$10b20o40b20o40b
20o40b20o40b20o40b20o$10b20o40b20o40b20o40b20o40b20o40b20o$10b20o40b
20o40b20o40b20o40b20o40b20o$10b20o40b20o40b20o40b20o40b20o40b20o$10b
20o40b20o40b20o40b20o40b20o40b20o$10b20o40b20o40b20o40b20o40b20o40b20o
$10b20o40b20o40b20o40b20o40b20o40b20o$10b20o40b20o40b20o40b20o40b20o
40b20o$20b10o40b10o60b10o40b10o60b10o40b10o$20b10o40b10o60b10o40b10o
60b10o40b10o$20b10o40b10o60b10o40b10o60b10o40b10o$20b10o40b10o60b10o
40b10o60b10o40b10o$20b10o40b10o60b10o40b10o60b10o40b10o$20b10o40b10o
60b10o40b10o60b10o40b10o$20b10o40b10o60b10o40b10o60b10o40b10o$20b10o
40b10o60b10o40b10o60b10o40b10o$20b10o40b10o60b10o40b10o60b10o40b10o$
20b10o40b10o60b10o40b10o60b10o40b10o11$140b10o$140b10o$140b10o$140b10o
$140b10o$140b10o$140b10o$140b10o$140b10o$140b10o11$170b30o$170b30o$
170b30o$170b30o$170b30o$170b30o$170b30o$170b30o$170b30o$170b30o$170b
10o$170b10o$170b10o$170b10o$170b10o$170b10o$170b10o$170b10o$170b10o$
170b10o!
Last edited by confocaloid on December 22nd, 2023, 11:16 am, edited 1 time in total.
127:1 B3/S234c User:Confocal/R (isotropic rules, incomplete)
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toroidalet
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Re: Defining volatility for spaceships

Post by toroidalet » December 21st, 2023, 1:39 am

Although it's a bit of a gimmick, you can squeeze the spaceships:

Code: Select all

x = 162, y = 362, rule = R11,C0,S5-7,B5-7,NW0000000000222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002120000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022200000000000000000000000000000000000000000000000000000000
2$150b2o2b2o$150b2o2b2o$150b2o2b2o$150b2o2b2o$150b2o2b2o$150b2o2b2o$
150b2o2b2o$150b2o2b2o$150b2o2b2o$150b2o2b2o$152b2o$152b2o$152b2o$152b
2o$152b2o$152b2o$152b2o$152b2o$152b2o$152b2o$152b2o$152b2o$152b2o$152b
2o$152b2o$152b2o$152b2o$152b2o$152b2o$152b2o$149bobo2bobo$149bobo2bobo
$149bobo2bobo$149bobo2bobo$149bobo2bobo$149bobo2bobo$149bobo2bobo$149b
obo2bobo$149bobo2bobo$149bobo2bobo$149bo6bo$149bo6bo$149bo6bo$149bo6bo
$149bo6bo$149bo6bo$149bo6bo$149bo6bo$149bo6bo$149bo6bo11$149bo6bo$149b
o6bo$149bo6bo$149bo6bo$149bo6bo$149bo6bo$149bo6bo$149bo6bo$149bo6bo$
149bo6bo$150b2o2b2o$150b2o2b2o$150b2o2b2o$150b2o2b2o$150b2o2b2o$150b2o
2b2o$150b2o2b2o$150b2o2b2o$150b2o2b2o$150b2o2b2o$151b4o$151b4o$151b4o$
151b4o$151b4o$151b4o$151b4o$151b4o$151b4o$151b4o11$148b3o4b3o$148b3o4b
3o$148b3o4b3o$148b3o4b3o$148b3o4b3o$148b3o4b3o$148b3o4b3o$148b3o4b3o$
148b3o4b3o$148b3o4b3o11$148b2o6b2o$148b2o6b2o$148b2o6b2o$148b2o6b2o$
148b2o6b2o$148b2o6b2o$148b2o6b2o$148b2o6b2o$148b2o6b2o$148b2o6b2o$148b
2o6b2o$148b2o6b2o$148b2o6b2o$148b2o6b2o$148b2o6b2o$148b2o6b2o$148b2o6b
2o$148b2o6b2o$148b2o6b2o$148b2o6b2o11$149bo6bo$149bo6bo$149bo6bo$149bo
6bo$149bo6bo$149bo6bo$149bo6bo$149bo6bo$149bo6bo$149bo6bo$149bobo2bobo
$149bobo2bobo$149bobo2bobo$149bobo2bobo$149bobo2bobo$149bobo2bobo$149b
obo2bobo$149bobo2bobo$149bobo2bobo$149bobo2bobo11$150b2o2b2o$150b2o2b
2o$150b2o2b2o$150b2o2b2o$150b2o2b2o$150b2o2b2o$150b2o2b2o$150b2o2b2o$
150b2o2b2o$150b2o2b2o$149bo6bo$149bo6bo$149bo6bo$149bo6bo$149bo6bo$
149bo6bo$149bo6bo$149bo6bo$149bo6bo$149bo6bo11$22b2o58b2o68b2o$22b2o
58b2o68b2o$22b2o58b2o68b2o$22b2o58b2o68b2o$22b2o58b2o68b2o$22b2o58b2o
68b2o$22b2o58b2o68b2o$22b2o58b2o68b2o$22b2o58b2o68b2o$22b2o58b2o68b2o$
21bo2bo56bo2bo66bo2bo$21bo2bo56bo2bo66bo2bo$21bo2bo56bo2bo66bo2bo$21bo
2bo56bo2bo66bo2bo$21bo2bo56bo2bo66bo2bo$21bo2bo56bo2bo66bo2bo$21bo2bo
56bo2bo66bo2bo$21bo2bo56bo2bo66bo2bo$21bo2bo56bo2bo66bo2bo$21bo2bo56bo
2bo66bo2bo$21bo2bo56bo2bo66bo2bo$21bo2bo56bo2bo66bo2bo$21bo2bo56bo2bo
66bo2bo$21bo2bo56bo2bo66bo2bo$21bo2bo56bo2bo66bo2bo$21bo2bo56bo2bo66bo
2bo$21bo2bo56bo2bo66bo2bo$21bo2bo56bo2bo66bo2bo$21bo2bo56bo2bo66bo2bo$
21bo2bo56bo2bo66bo2bo$20bo4bo54bo4bo64bo4bo$20bo4bo54bo4bo64bo4bo$20bo
4bo54bo4bo64bo4bo$20bo4bo54bo4bo64bo4bo$20bo4bo54bo4bo64bo4bo$20bo4bo
54bo4bo64bo4bo$20bo4bo54bo4bo64bo4bo$20bo4bo54bo4bo64bo4bo$20bo4bo54bo
4bo64bo4bo$20bo4bo54bo4bo64bo4bo$20bo4bo54bo4bo64bo4bo$20bo4bo54bo4bo
64bo4bo$20bo4bo54bo4bo64bo4bo$20bo4bo54bo4bo64bo4bo$20bo4bo54bo4bo64bo
4bo$20bo4bo54bo4bo64bo4bo$20bo4bo54bo4bo64bo4bo$20bo4bo54bo4bo64bo4bo$
20bo4bo54bo4bo64bo4bo$20bo4bo54bo4bo64bo4bo$21b4o56b4o66b4o$21b4o56b4o
66b4o$21b4o56b4o66b4o$21b4o56b4o66b4o$21b4o56b4o66b4o$21b4o56b4o66b4o$
21b4o56b4o66b4o$21b4o56b4o66b4o$21b4o56b4o66b4o$21b4o56b4o66b4o$20b2o
2b2o54b2o2b2o64b2o2b2o$20b2o2b2o54b2o2b2o64b2o2b2o$20b2o2b2o54b2o2b2o
64b2o2b2o$20b2o2b2o54b2o2b2o64b2o2b2o$20b2o2b2o54b2o2b2o64b2o2b2o$20b
2o2b2o54b2o2b2o64b2o2b2o$20b2o2b2o54b2o2b2o64b2o2b2o$20b2o2b2o54b2o2b
2o64b2o2b2o$20b2o2b2o54b2o2b2o64b2o2b2o$20b2o2b2o54b2o2b2o64b2o2b2o$
20bo4bo54bo4bo64bo4bo$20bo4bo54bo4bo64bo4bo$20bo4bo54bo4bo64bo4bo$20bo
4bo54bo4bo64bo4bo$20bo4bo54bo4bo64bo4bo$20bo4bo54bo4bo64bo4bo$20bo4bo
54bo4bo64bo4bo$20bo4bo54bo4bo64bo4bo$20bo4bo54bo4bo64bo4bo$20bo4bo54bo
4bo64bo4bo$20bo4bo54bo4bo64bo4bo$20bo4bo54bo4bo64bo4bo$20bo4bo54bo4bo
64bo4bo$20bo4bo54bo4bo64bo4bo$20bo4bo54bo4bo64bo4bo$20bo4bo54bo4bo64bo
4bo$20bo4bo54bo4bo64bo4bo$20bo4bo54bo4bo64bo4bo$20bo4bo54bo4bo64bo4bo$
20bo4bo54bo4bo64bo4bo21$21b4o56b4o66b4o$21b4o56b4o66b4o$21b4o56b4o66b
4o$21b4o56b4o66b4o$21b4o56b4o66b4o$21b4o56b4o66b4o$21b4o56b4o66b4o$21b
4o56b4o66b4o$21b4o56b4o66b4o$21b4o56b4o66b4o$22b2o58b2o68b2o$22b2o58b
2o68b2o$22b2o58b2o68b2o$22b2o58b2o68b2o$22b2o58b2o68b2o$22b2o58b2o68b
2o$22b2o58b2o68b2o$22b2o58b2o68b2o$22b2o58b2o68b2o$22b2o58b2o68b2o11$
19b2o4b2o$19b2o4b2o$19b2o4b2o$19b2o4b2o$19b2o4b2o$19b2o4b2o$19b2o4b2o$
19b2o4b2o$19b2o4b2o$19b2o4b2o$18bo2bo2bo2bo$18bo2bo2bo2bo$18bo2bo2bo2b
o$18bo2bo2bo2bo$18bo2bo2bo2bo$18bo2bo2bo2bo$18bo2bo2bo2bo$18bo2bo2bo2b
o$18bo2bo2bo2bo$18bo2bo2bo2bo$19b3o2b3o$19b3o2b3o$19b3o2b3o$19b3o2b3o$
19b3o2b3o$19b3o2b3o$19b3o2b3o$19b3o2b3o$19b3o2b3o$19b3o2b3o$19b2o4b2o$
19b2o4b2o$19b2o4b2o$19b2o4b2o$19b2o4b2o$19b2o4b2o$19b2o4b2o$19b2o4b2o$
19b2o4b2o$19b2o4b2o!
I don't know if there is a way to compress diagonal or oblique spaceships like that. Really, there should be a script for this. Even if it just simulates giant blocks, it would get rid of most of the overhead of using an unoptimized algorithm on a web browser.

By the way, I think the diagonal version of volatility is not a good definition: a diagonal line has a volatility of 1/(denominator of simplified speed). Maybe only focusing on the centerlines would be better? I'm not sure.
That being said, I don't know if there is a better way for knightships.
Any sufficiently advanced software is indistinguishable from malice.

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