Very Low Expansion Factor?

[Alexey_Nigin]

I think it is possible to create a sawtooth with expansion factor arbitrarily close to 1.

----

Consider a pattern that has some complicated mechanism X in the SE and a single block in the NW. X shoots a salvo A that interacts with the block and produces a SE-heading glider C. This salvo may optionally move the block along the \ diagonal.

Then X immediately starts to shoot salvos B that push the block NW. These salvos should not interact with glider C.

When glider C reaches X, X stops producing salvos B, produces one salvo A or a slight variation of it, and goes quiescent. Some time later, the glider created by this salvo A reaches X, and everything starts all over again.

----

Big questions:

• Does the expansion factor really come arbitrarily close to 1 as the distance between salvos B is increased? I am quite sure this is the case, but please confirm this by doing your own calculations.
• Activation and deactivation of X are very different tasks. How can a glider do one or the other depending on which one is needed at the moment?
• Should we opt for single-lane salvos?

[Scorbie]

What you are describing seems like a parabolic sawtooth.
Edit: Some details are different, but I think the main scheme and e.f. being arbitrarily close to 1 looked the same.

[Alexey_Nigin]

What you are describing seems like a parabolic sawtooth.
Edit: Some details are different, but I think the main scheme and e.f. being arbitrarily close to 1 looked the same.

My design is of course heavily based on parabolic sawtooth. However, the expansion factor of parabolic sawtooth is equal to 1, while my design should give something that is very close but not quite 1. This is the same thing that Dean Hickerson tries to do with copperheads. My project seems to have more potential, as Dean's approach requires completely different design for more or less each expansion factor.

[Scorbie]

I haven't done the math, but at least I get the idea. You mean that the block is pushed by salvos B multiple times, don't you?

1.Does the expansion factor really come arbitrarily close to 1 as the distance between salvos B is increased?

Do you mean the salvos B are spaced ,say, 300 gens apart in one cycle and 600 gens in the next? I think that would make an exponential sawtooth. (Haven't done precise math.)
But I think that would be challenging to make, and you would have to calculate the spacings very well, I think.

2. The on and off "switch" of the quadratic sawtooth may give you one option?

[Alexey_Nigin]

I haven't done the math, but at least I get the idea. You mean that the block is pushed by salvos B multiple times, don't you?

Yes.

Do you mean the salvos B are spaced ,say, 300 gens apart in one cycle and 600 gens in the next?

No. I intend to make different sawtooths with different spacings and different expansion factors. The spacing will be constant within one pattern.

2. The on and off "switch" of the quadratic sawtooth may give you one option?

We will of course need something along this lines, but finding a suitable switch is not the only problem. We should also account for the fact that A should be sent before B during the activation and after B during the deactivation. So far I have no idea how to do this.

[Scorbie]

No. I intend to make different sawtooths with different spacings and different expansion factors. The spacing will be constant within one pattern.

Now I get it. Yes, I think that works.

We should also account for the fact that A should be sent before B during the activation and after B during the deactivation.

Now I get you. Unfortunately I'm not sure about how it can be done...

[calcyman]

One could use Dean's sawtooth, but with the copperheads replaced with slow caterloopillars. That should enable exponential sawteeth with expansion factor 1 + epsilon.

[simsim314]

One could use Dean's sawtooth, but with the copperheads replaced with slow caterloopillars.

Caterloopillars are not that good for arbitrary low speeds. If what we need is adjustable very low speed, how about diagonal sawtooth with demonoid using glider salvos?

[Scorbie]

I think alexey's design, if made real, would be smaller and easier to watch and prove. Caterloopilars and Demonoids are good options that seem to be somewhat like steroids. They take less effort but the results work anyhow.
(And it feels a bit like cheating... Not saying it's bad, just my guilty feeling.)
Originally I thought that the Demonoid sawtooth is going to take a long tine to watch. Not sure about that.

[Dean Hickerson]

I think it is possible to create a sawtooth with expansion factor arbitrarily close to 1.

...

• Does the expansion factor really come arbitrarily close to 1 as the distance between salvos B is increased? I am quite sure this is the case, but please confirm this by doing your own calculations.

Yes, it does:

Suppose that the salvos B are sent every P gens, and that each one moves the block a distance d. If the block is initially x units away from X, then the first salvo A and its return glider take time 8x to return to X. During that time 8x/P salvos B are sent, and the block moves a distance 8dx/P.

So in each cycle, the distance from X to the block increases by a factor of (x + 8dx/P)/x = 1 + 8d/P. That's the expansion factor, and it does indeed approach 1 as the period P goes to infinity.


Here's an alternative that might be simpler: Instead of two different salvos, A and B, we just use one, C, which pushes the block and sends a return glider on a path that doesn't interfere with later copies of C. (C could be a combination of A and B from Alexey's design. P.S.: Oops, that only works if the return glider from A doesn't interfere with later copies of A.) X should send out a salvo C every P gens, unless it has received a return glider recently.

If the block is initially x units away from X and there are no salvos or gliders en route, then salvos C will be sent until the first return glider arrives, 8x gens later. As before, the number of salvos that are sent is 8x/P, so the block moves a distance 8dx/P, and the expansion factor is 1 + 8d/P.

Somehow we'll have to deal with a synchronization problem: The return gliders arrive every P + 8d gens, so each one will have to suppress either 1 or 2 salvos.

Offhand, I don't know of any salvos that would work for this, but I'm sure one can be found.

[Dean Hickerson]

Offhand, I don't know of any salvos that would work for this, but I'm sure one can be found.

I've found a 9-glider salvo that works; it pushes the block 10 units and sends a return glider:

Code: Select all

x = 103, y = 147, rule = B3/S23
2bo$obo$b2o24$6bo$4bobo$5b2o3$16bobo$17b2o$17bo15$33bo15bobo$31bobo16b
2o$32b2o16bo47$46bo$44bobo$45b2o20$90bo$88bobo$89b2o15$96bobo$97b2o$
97bo$90bo$91b2o$90b2o4$101b2o$101b2o!

This is based on the 10-unit push that I used for the original block pusher and Sqrtgun 10.1: 2 gliders push the block, 2 more turn the debris into a NEward glider, 2 more turn that glider into a boat, 2 more turn the boat into a return glider and a blinker, and 1 more deletes the blinker. The exact timing of the various reactions can be changed if it makes salvo construction easier.

To show that the return glider doesn't hit subsequent salvos, here the block is pushed 3 times. The salvos are spaced 800 gens apart, and the return gliders are 880 gens apart:

Code: Select all

x = 503, y = 547, rule = B3/S23
2bo$obo$b2o24$6bo$4bobo$5b2o3$16bobo$17b2o$17bo15$33bo15bobo$31bobo16b
2o$32b2o16bo47$46bo$44bobo$45b2o20$90bo$88bobo$89b2o15$96bobo$97b2o$
97bo$90bo$91b2o$90b2o59$202bo$200bobo$201b2o24$206bo$204bobo$205b2o3$
216bobo$217b2o$217bo15$233bo15bobo$231bobo16b2o$232b2o16bo47$246bo$
244bobo$245b2o20$290bo$288bobo$289b2o15$296bobo$297b2o$297bo$290bo$
291b2o$290b2o59$402bo$400bobo$401b2o24$406bo$404bobo$405b2o3$416bobo$
417b2o$417bo15$433bo15bobo$431bobo16b2o$432b2o16bo47$446bo$444bobo$
445b2o20$490bo$488bobo$489b2o15$496bobo$497b2o$497bo$490bo$491b2o$490b
2o4$501b2o$501b2o!

I'm not planning to build a sawtooth pattern from this, because I'm sure there must be better salvos out there.

[simsim314]

I've found a 9-glider salvo that works; it pushes the block 10 units and sends a return glider:

Here is an example with 6 gliders, move by 1 using blinker as a target:

Code: Select all

x = 80, y = 71, rule = LifeHistory
13$6.C2.C.C$4.C.C3.2C$5.2C3.C12$29.C$30.C$28.3C3$26.C$27.2C$26.2C4$
61.C$59.C.C$60.2C13$59.C$60.C$58.3C12$68.3C!

Also while ago I've found this recipe (the fix should be available with 2 gliders):

Code: Select all

x = 42, y = 37, rule = LifeHistory
2C$2C9$14.3C$14.C$15.C4$21.2C$21.C.C$21.C6$29.2C$28.2C$30.C8$39.2C$
39.C.C$39.C!

Generally I think that 3 glider should be enough for this task, and 4 might be a minimum if we very unlucky. But conducting such search will take time to write.

[Dean Hickerson]

Here is an example with 6 gliders, move by 1 using blinker as a target:

Nice! The fact that the blinker only moves 1 unit will make designing the stationary part of the sawtooth pattern tricky, since the times when the return gliders arrive are only known (mod 8). But I'm sure it can be done.

Generally I think that 3 glider should be enough for this task, and 4 might be a minimum if we very unlucky. But conducting such search will take time to write.

I'm not so optimistic. I'd guess 5, 4 if we're lucky.

P.S.: For the 10-unit push, here's a 7-glider salvo:

Code: Select all

x = 74, y = 104, rule = B3/S23
2bo$obo$b2o6bobo$10b2o$10bo12$24bo$22bobo$23b2o36$17bo$15bobo$16b2o20$
61bo$59bobo$60b2o15$67bobo$68b2o$68bo$61bo$62b2o$61b2o4$72b2o$72b2o!

Here it happens 3 times:

Code: Select all

x = 374, y = 404, rule = B3/S23
2bo$obo$b2o6bobo$10b2o$10bo12$24bo$22bobo$23b2o36$17bo$15bobo$16b2o20$
61bo$59bobo$60b2o15$67bobo$68b2o$68bo$61bo$62b2o$61b2o52$152bo$150bobo
$151b2o6bobo$160b2o$160bo12$174bo$172bobo$173b2o36$167bo$165bobo$166b
2o20$211bo$209bobo$210b2o15$217bobo$218b2o$218bo$211bo$212b2o$211b2o
52$302bo$300bobo$301b2o6bobo$310b2o$310bo12$324bo$322bobo$323b2o36$
317bo$315bobo$316b2o20$361bo$359bobo$360b2o15$367bobo$368b2o$368bo$
361bo$362b2o$361b2o4$372b2o$372b2o!

The timing can be adjusted in 3 places.

P.P.S: For a 1-unit push, we only need 5 gliders:

Code: Select all

x = 55, y = 60, rule = B3/S23
obo$b2o$bo6$3bo$4bo$2b3o24$21bo$22b2o$21b2o11$45bobo$46b2o$46bo4$43bo$
44b2o$43b2o3$53b2o$53b2o!

In this case the return glider's path is northeast of the salvo's path, which makes detecting it easier. Also, the last 2 gliders can be delayed if it helps.

P^3.S.: For a 10-unit push, 6 gliders are enough:

Code: Select all

x = 50, y = 55, rule = B3/S23
2bo$obo$b2o7$2bobo$3b2o$3bo5$34bo$35b2o$34b2o5$21bo$19bobo$20b2o19$43b
obo$44b2o$44bo$37bo$38b2o$37b2o4$48b2o$48b2o!

P^4.S.: Oops, make that 5; somehow I had an extraneous glider in there.

Code: Select all

x = 50, y = 55, rule = B3/S23
2bo$obo$b2o7$2bobo$3b2o$3bo12$21bo$19bobo$20b2o19$43bobo$44b2o$44bo$
37bo$38b2o$37b2o4$48b2o$48b2o!

[chris_c]

Here is an example with 6 gliders, move by 1 using blinker as a target:

Nice! The fact that the blinker only moves 1 unit will make designing the stationary part of the sawtooth pattern tricky, since the times when the return gliders arrive are only known (mod 8 ). But I'm sure it can be done.

Here is a stable regulator that has a "dead spot" of 20 ticks. If someone finds a cheap block push of 3 or more units (so that the return time of the glider is known modulo a number that is at least 24) it could be useful.

Code: Select all

x = 30, y = 72, rule = B3/S23
4bo$5bo$3b3o$18bo$16b3o$15bo13bo$15b2o10b3o$2o24bo$bo24b2o$bob2o$2bo2b
o$3b2o$18b2o$18b2o3$bo$b3o$4bo$3b2o$21b2obo$21b2ob3o$27bo$21b2ob3o$22b
obo$22bobo$23bo30$5b3o$5bo2bo$5bo$5bo3bo$5bo$6bobo5$6bo$5b3o$5bob2o$6b
3o$6b3o$6b2o!

[chris_c]

EDIT2: All of this could be total nonsense because as stated it no longer makes a sawtooth! Maybe it could still be interesting somehow though.

Here is an idea for going back to Alexey's original method of having two distinct salvos A and B. We actually only produce the B salvo but use the return glider to transform it into an A salvo when needed.

Every P generations we produce the 5 gliders in green and the Herschel. Without any other input this will cause a 10 unit block push but if the glider in red is added then we get a 10 unit block push and a return glider.

Code: Select all

x = 89, y = 125, rule = LifeHistory
50.D.D$18.2A30.2D$2.A16.A31.D$A.A16.A.A$.2A17.A.A$21.A3.2A40.2A$25.2A
40.A$64.BA.A$64.B2A$62.3B$61.4B$58.B.4B$47.A8.7B$47.3A6.6B$50.A4.2B3A
2B$49.2A4.4BA2B$49.4B.4B3AB$51.11B$50.12B$50.12B$50.11B$49.9B$46.2B.
10B$45.16B.B4.3B$45.25B$45.24B2A$45.24B2A$45.23B.B$45.23B$45.21B$45.
14B5.B$45.11B$2.A42.11B$3.A42.3B4.2B$.3A43.B6.2B$53.B2AB$54.2A5$7.A$
8.2A$7.2A19$32.A$30.A.A$31.2A$25.A$26.A$24.3A56$87.2A$87.2A!

The only difficulty I see is to avoid a collision between the return glider and the exhaust of the edge shooter. But the timing of the return glider is known modulo 80 so hopefully we can get around this. (EDIT: if we use a period that is a multiple of 240 we can use p30 technology instead of Herschels. This might be easier.)

Or maybe there is a different 3-glider collision that avoids these difficulties entirely?

Also I guess there might be a more efficient block push + orthogonal glider reaction than the 4-glider version I used here.

[simsim314]

If someone finds a cheap block push of 3 or more units (so that the return time of the glider is known modulo a number that is at least 24) it could be useful.

How about this push-5:

Code: Select all

x = 34, y = 37, rule = LifeHistory
8$10.C$8.C.C$9.2C$19.C$13.C6.C$14.C3.3C$12.3C12$28.2C$28.2C!

EDIT Just for the record, push1 push2 and pull5:

Code: Select all

x = 245, y = 51, rule = LifeHistory
198.C$199.2C$198.2C$97.C$95.C.C$96.2C$208.C.C$209.2C$209.C5$111.C99.C
$41.C70.C99.C$42.C67.3C97.3C$40.3C7.C52.C$51.C49.C.C$49.3C50.2C9$53.C
$51.C.C66.2C98.2C$52.2C66.2C98.2C2$59.2C$59.2C!

[BlinkerSpawn]

A single glider can eat the 3G push5:

Code: Select all

x = 13, y = 17, rule = B3/S23
2bo$obo$b2o$11bo$5bo6bo$6bo3b3o$4b3o8$11bo$11b2o$10bobo!

[Dean Hickerson]

How about this push-5:

Lovely! I'm happy to have been proved wrong.

Just to show that the salvo can be constructed, here's a p240 gun for it. (I've made no attempt to compress this pattern, since we'll want to allow arbitrarily large period guns to get small expansion factors.)

Code: Select all

x = 301, y = 371, rule = B3/S23
228b2o$228b2o4$229bo$228bobo$227bo3bo$228b3o$226b2o3b2o$217bo$216b3o$
215b2ob2o$214b3ob3o$214b3ob3o10bo$214b3ob3o10bo$214b3ob3o6b3obo$215b2o
b2o$156b2o58b3o7bo$156b2o59bo8b2obo$228b2o2$155b3o$155b3o70b2o3b2o$
228b2o3b2o$216b2o3bo7b5o$167b3o46b2o2bo9bobo$153b2o3b2o60b3o$154b5o7bo
3bo59b3o$155b3o8bo3bo$156bo$167b3o3$167b3o60b2o$230b2o$166bo3bo51b2o$
157bo8bo3bo51bobo$158b2o57b2o6bo$157b2o8b3o46bo2bo2bo2bo$212b3o2b2o6bo
$212b3o7bobo6b2o$211bo3bo6b2o7bobo$210bo5bo16bo$151b2o3b2o53bo3bo17b2o
$153b3o56b3o$152bo3bo9b2o$153bobo9bobo$154bo10bo3bo53bobo$165b2o3bo52b
o3bo$169b2o56bo5b2o$169b2o52bo4bo4b2o$154b2o71bo$154b2o67bo3bo$161bobo
5bo53bobo$160bo2bo3bo2bo$159b2o6bo59bobo$157b2o3bo3bo3b2o55bo3bo$159b
2o70bo$153b2o5bo2bo63bo4bo4b2o$152bobo6bobo67bo5b2o$152bo74bo3bo$151b
2o16b2o3b2o51bobo$169bobobobo$170b5o$171b3o42b3o$159bo12bo42bo3bo17b2o
$157b4o53bo5bo16bo$151b2o3bobob2o53bo3bo6b2o7bobo$151b2o2bo2bob3o53b3o
7bobo6b2o$156bobob2o54b3o2b2o6bo$157b4o59bo2bo2bo2bo$159bo61b2o6bo$
226bobo$226b2o$234b2o$234b2o6$234b3o$224b3o$220b2o2bo9bobo$220b2o3bo7b
5o$232b2o3b2o$232b2o3b2o3$232b2o$221bo8b2obo$220b3o7bo$219b2ob2o$218b
3ob3o6b3obo$218b3ob3o10bo$218b3ob3o10bo$218b3ob3o$219b2ob2o$220b3o$
221bo$230b2o3b2o$232b3o$231bo3bo$184bobo45bobo$187bo45bo$187bo$184bo2b
o$185b3o$232b2o$232b2o12$138b2o19bo5b2o$138b2o17b3o5b2o$125bo4bo10b2o
13bo$123bobo4bo10b3o5b2o5b2o$121b2o7bo10b2o6b2o$115b2o4b2o11b2o2b2o$
115b2o4b2o8b2o2bo2b2o$123bobo5b4o30b3o$125bo7bo30b2ob2o$154bo9b2ob2o$
153b3o8b5o$152b5o6b2o3b2o$140bobo8b2o3b2o$141b2o$141bo$127b6o$126bo6bo
19b3o8b2o$125bo8bo18b3o$126bo6bo24bo$127b6o15bo8bobo$149b2o5bob2o$148b
2o5b2ob2o$156bob2o$157bobo$158bo3$45bo16bo5b2o80bo$44bobo13b3o5b2o78bo
bo$27b2o15b2obo11bo89b2o$27bobo14b2ob2o3b2o5b2o$22b2o6bo13b2obo4b2o15b
o$18b2obo2bo2bo2bo13bobo21b3o$18b2o2b2o6bo8bo5bo21bo3bo$27bobo7bobo16b
3o10bo$27b2o9b2o15b2ob2o6bo5bo$55b2ob2o6bo5bo$55b5o7bo3bo$54b2o3b2o7b
3o2$48bo$47b3o$46bo2bo6bo$27bo2bo4bo2bo7b2o8bo$25b3o2b6o2b3o6bo7bo$27b
o2bo4bo2bo12bo10b2o$49bobo4bo5bo2bo128b2o$50bo5bo9bo127bobo$66bo129bo$
66bo128b2ob2o$62bo2bo128bo3bobo$62b2o130bobobo2bo$193b3obobobo$193bo6b
o$193bob5o$193bo$192b2o2b2o$191b3o2bobo$191b3o3bo$191b3o2bo$191b3o$
107b2o83bobo3b2o$105b2ob2o83bo5bo$105b4o85b3o2bob2o$106b2o87b3obo2bo$
194bo2bob2o$180bo13b2obo$180bo16bo$179b3o15b2o4$178b5o$177bob3obo$177b
obobobo$176b2obobob2o$175bo2b2ob2o2bo$175b2o7b2o5$206bo$207bo$205b3o2$
43bo$41b4o165bo$40bobob2o162bobo$14b2o23bo2bob3o162b2o$12bo4bo22bobob
2o21bo$11bo6bo21b5o21b4o$10bo8bo5b2o12bo3bo21b2obobo$10bo8bo5b2o11bobo
23b3obo2bo23b2o$10bo8bo18bobo24b2obobo22bo4bo$11bo6bo20bo26b5o21bo6bo$
12bo4bo8b2o39bo3bo12b2o5bo8bo$14b2o11b2o41bobo11b2o5bo8bo$26bo9b2o3b2o
27bobo18bo8bo$36bobobobo28bo20bo6bo$37b5o6b2o3b2o28b2o8bo4bo$38b3o41b
2o11b2o$8bo9b2o19bo9bo3bo14b2o3b2o9bo$7bobo7b4o29b3o15bobobobo$2o4bob
2o5b3o2bo2bobo24b3o3b2o3b2o6b5o$2o3b2ob2o9b2o2bo2bo43b3o187bo$6bob2o6b
o9b2o6b2o21bo3bo9bo19b2o9bo$7bobo5bo8bo3b2o4b2o5b2o15b3o29b4o7bobo154b
3obo$8bo6bo10b2o13bo16b3o24bobo2bo2b3o5b2obo4b2o137bo8bob2o$23bo2bo15b
3o5b2o32bo2bo2b2o9b2ob2o3b2o137b3o6b2obo$23bobo18bo5b2o23b2o6b2o9bo6b
2obo146bo3bob3o$68b2o5b2o4b2o3bo8bo5bobo146b2o$69bo13b2o10bo6bo154bo$
59b2o5b3o15bo2bo165bo$59b2o5bo18bobo164bobo$248b2o2b2o$248b2o16$279b2o
$279bo$277bobo$277b2o6$278b2o$266bo11b2o$267bo$265b3o2$276bo$270bo3bob
o$268bobo4b2o$269b2o$219bo$219b2o$218bobo2$179bobo$178bo2bo$177b2o11bo
$169b2o4b2o3bo9bo$169b2o6b2o5b2o$178bo2bo4bo$179bobo4$169b2o16b2o3b2o$
170bo18b3o$170bobo8b2o5bo3bo$171b2o7bo3bo4bobo$179bo5bo4bo$179bo3bob2o
93b2o$179bo5bo95bo$180bo3bo96bobo$181b2o99b2o$172b2o$172b2o14b2obo$
187bo4bo106b2o$188b2obo107b2o$189b2o4$171b3o7b2o$170bo3bo5bobo$182bo$
169bo5bo$169b2o3b2o3$174b2o$174bobo$176bo8b3o$175b2o8bobo$172bo12b3o$
172bo2bo9b3o$172bo12b3o$185b3o$185bobo$171b2obob2o7b3o$218b3o$171bo5bo
42bo$219bo$172b2ob2o$174bo5$174b2o$174b2o16$209bo$196b2o8b4o$195bo9b4o
5b2o$205bo2bo4bo2bo$196b2o7b4o4bo2bo$196b2o8b4o3bo$171bo2b2o4b2o2bo10b
o13bo3bo$170bo3b3o2b3o3bo27bobo$171bo2b2o4b2o2bo17bo10bobo$201b3o10bo$
200bo3bo$188bo10bob3obo$188b2o10b5o6b2o3b2o$187bobo21bo5bo2$212bo3bo$
174b2o37b3o$173b3o3b2obo$163b2o5bob2o5bo3bo2bo$163b2o5bo2bo4bo4bo2b2o$
170bob2o4b4o5b2o8b2o$173b3o3bo7b3o7b2o5b2o$174b2o11b2o15bo$186b2o17b3o
5b2o$186bo20bo5b2o!

I couldn't find an easier way to create the back 2 gliders. Any ideas?

A single glider can eat the 3G push5:

It can also be deleted from the other side:

Code: Select all

x = 20, y = 10, rule = B3/S23
2bo$obo$b2o$11bo$5bo6bo$6bo3b3o$4b3o$17bo$17bobo$17b2o!

[chris_c]

This pattern uses simsim's pull5 reaction and a plain push5 (without return glider) that I found myself. Also Extremeenthusiast's switchable p120 gun from here is used.

According to Dean's calculation above this should be a sawtooth of expansion factor 1 + 8 * 5 / 240 = 7/6. By replacing the nine p240 guns with higher period guns the expansion factor should be smaller still.

Code: Select all

x = 1152, y = 1087, rule = B3/S23
305bo$305b3o$308bo$307b2o4$311bo2bo$296b2o5b2o5b2o3bo$296b2o5b2o6bo3bo
$311bo3bo$300b2o9bo2bo$300b2o10bo4$323b2o$323b2o2$320b2o5b2o$320b2o5b
2o2$336b2o$336b2o$305bo$305b3o9bo$308bo9b2o$307b2o8b2o17bo$335bobo$
334bo3bo$335b3o$327b2o4b2o3b2o$327b2o2$305b2o11b2o$305b2o12b2o$300b2o
16bo$300b2o2$300bo$299b3o$298bo2bo36b2o$298b2o38bo$339b3o$341bo2$300b
3o$298b2o2bo$299b3o$300bo4$287bo$285b2o$285b3o$283b3o$282bobo$282bo$
281b2o$289b2o$289b2o2$292b2o$292b2o3$289b2o$289b2o65$272b2o$273bo$273b
obo8b2o$274b2o7b3o$280bob2o9b2o$280bo2bo4bo5bo$280bob2o5bo$283b3o3bo3b
o$284b2o5bo83$295b2o$295b2o6$295b3o$294b2ob2o$294b2ob2o$284bo9b5o$112b
o171bo8b2o3b2o$110b3o170bobo$109bo174bo$98bo10b2o173bo11b2o$97bobo184b
o9b5o$97bobo184bo13bo$95b3ob2o20bo161bobo8b3o$94bo24b3o162bo9bo$88bo6b
3ob2o17bo165bo10b2o$69b2o17b3o6bob2o17b2o175b2o$70bo20bo$69bo20b2o$69b
2o44b2o178b2o3b2o$50bo9b2o52bo2bo177bobobobo$50b3o7bobo52b2o171bobo5b
5o$53bo7bo226b2o7b3o$52b2o235bo8bo2$72b2o$72b2o$44bo$43bobo57b2o174b4o
$43bobo57bo175b2o2bo$41b3ob2o57b3o172bob2o14b2o$40bo21bo43bo190b2o$41b
3ob2o14b2o225bo$43bob2o14bobo18b2o202b4o$83bo201bobob2o$80b3o201bo2bob
3o$80bo204bobob2o$279b3o4b4o8b2o$279b3o6bo9bobo$278bo3bo17bo$48b2o250b
2o$48b2o227b2o3b2o$63b2o$62bo2bo$63b2obo215b2o5b2o$40b2o24bo27b2o184bo
4bo3b3o$41bo24b2o26b2o189bo5b2obo5b2o$38b3o10b2o226bo6bo4bo2bo5b2o$38b
o13bo226bobo9b2obo$49b3o237b3o$49bo92b2o145b2o$142b3o106bo$93b3o48b2ob
o102bo$92b2ob2o47bo2bo5b2o95b3o$92b2ob2o47b2obo5b2o$92b5o37b2o6b3o$91b
2o3b2o35bobo6b2o$133bo$132b2o6$96b2o$96bo$97b3o$99bo19$147b2o$147b2o$
168bo$166b3o$165bo$165b2o2$61b3o121bo$63bo119b3o$62bo119bo$169b2o11b2o
11bo$169b2o24b3o$198bo$197b2o$212b2o$137b2o73bo$137b2o70b2obo$208bo2bo
181b2o$208b3o182b2o$201bo4bobo$158b2o40b4o3b2o$158bobo37bo2bobo2bo$
160bo36bob2o2bo$160b2o34b3ob2o2bo188b3o$181b2o3bo8bo6b3o188b3o$181bo3b
obo11bo2b2o188bo3bo$182bo3bobo12b2o$169b2o12bo3bobob2o4bo3b3o178bo8b2o
3b2o$170bo10bob4o2bob2o6bo2bo178bobo$167b3o10bobo3bobo191bo3bo$167bo
12bobo2bo2b2ob2o187bo3bo$181bo3b2o2bobo188bo3bo$189bobo10b2o176bo3bo
10b3o$190bo11b2o176bo3bo7b2o$380bo3bo7b2o$381bobo7b2o$382bo9bobo$393b
2o$155bo$46b2o108bo$45bobo106b3o236b2o3b2o$44bo6b2o340b2o3b2o$29b2o13b
o2bo2bo2bo333bo$29b3o12bo6b2o332b2o8b3o$10b2o6b2o11b3o11bobo338b2o7b3o
$9bo2bo4bo2bo11b2o12b2o348bo$8b6o2b6o6b2o$9bo2bo4bo2bo7b2o20b3o$10b2o
6b2o30b3o325b3o$38b3o8bo3bo323bob2o$48bo5bo321b2o3bo$38bobo8bo3bo326bo
14b2o$23b2o12b5o8b3o342b2o$24b2o10b2o3b2o344bo$23bo12b2o3b2o344b2o$12b
2o368b2o4b2o$11bo3bo366b2o4b3o$2o8bo5bo7bo353bo3b2o4b2o$2o8bo3bob2o4bo
bo352b3o7b2o7b2o$10bo5bo3b2o12b2o340bo3bo6bo8bobo$11bo3bo4b2o12b2o5b2o
332bob3obo16bo$12b2o6b2o19bo334b5o17b2o$22bobo17b3o5b2o$24bo19bo5b2o2$
388bo$383bo4b4o$383bo5b4o5b2o$389bo2bo5b2o$389b4o$388b4o$388bo2$348bo$
348bobo$348b2o23$215bo$216bo$214b3o2$250b2o$250b2o$271bo$269b3o$268bo$
268b2o$496b2o$288bo207bo2bo$286b3o$285bo214bo$272b2o11b2o11bo$272b2o
24b3o197b2o$301bo195bo$300b2o183bo$315b2o167bobo$240b2o73bo178b2o3b2o$
240b2o70b2obo178b2o3b2o$311bo2bo169b3o8b5o$312b2o170b3o9bobo$485bo$
261b2o34bo198b3o$261bobo32b3o$263bo32b2ob3o183bo$263b2o36bo182b3o$284b
2o3bo194b3o$284bo3bobo$285bo3bobo202bo$272b2o12bo3bobob2o188bobo6bo$
273bo10bob4o2bob2o189bo7b3o$270b3o10bobo3bobo207bo$270bo12bobo2bo2b2ob
2o202b3o$284bo3b2o2bobo202b5o$292bobo10b2o189b2o3b2o$293bo11b2o$486bo$
481b2o3bobo$480bo2bo2b2o10b3o$482bobo13b3o$483b2o2$498b2o$484bo13b2o$
483bobo8bo$483bobo7bobo$264bo228b2obo$262bobo228b2ob2o$263b2o228b2obo$
493bobo3b2o$494bo4bobo$501bo$501b2o$478b2o3b2o$479b5o$479b2ob2o$479b2o
b2o8b2o$480b3o7bo2bo7bo$275bo213bo7b2o3bo$276bo212bo6bo5bo$274b3o212bo
7b5o$490bo2bo$492b2o5$448bobo$448b2o$449bo30$347b2o$347b2o$368bo$366b
3o$365bo$365b2o2$324bo60bo$322bobo58b3o$323b2o57bo$369b2o11b2o11bo$
369b2o24b3o$398bo$397b2o$412b2o$337b2o73bo$337b2o70b2obo195b2o$408bo2b
o196b2o$409b2o$335bo$336bo21b2o39b2o207b3o$334b3o21bobo38b2o207b3o$
360bo38bo$360b2o32b3o$381b2o3bo7bo2bo198b3o$381bo3bobo6bo2bo208b2o3b2o
$382bo3bobo6bo2bo196bo3bo7b5o$369b2o12bo3bobob2o4bo197bo3bo8b3o$370bo
10bob4o2bob2o8bo207bo$367b3o10bobo3bobo207b3o$367bo12bobo2bo2b2ob2o$
381bo3b2o2bobo$389bobo10b2o192b3o$390bo11b2o$595bo3bo$595bo3bo8bo$606b
2o$596b3o8b2o4$356bobo$357b2o249b2o3b2o$357bo252b3o$598b2o9bo3bo$598bo
bo9bobo$596bo3bo10bo$595bo3b2o$595b2o$595b2o$610b2o$610b2o$596bo5bobo$
595bo2bo3bo2bo$598bo6b2o$594b2o3bo3bo3b2o$605b2o$602bo2bo5b2o$602bobo
6bobo$613bo$590b2o3b2o16b2o$590bobobobo$591b5o$592b3o$593bo12bo$605b4o
$604b2obobo3b2o$384bo218b3obo2bo2b2o$382bobo219b2obobo$383b2o220b4o$
606bo9$395bo$396bo$394b3o157bo$554bobo$554b2o18$416bobo$417b2o$417bo4$
459b2o$459b2o$480bo$478b3o$477bo$477b2o2$497bo$495b3o$494bo$481b2o11b
2o11bo$481b2o24b3o$510bo$509b2o$524b2o$449b2o73bo$449b2o55bo14b2obo$
504bo2bo12bo2bo$503bo17b2o$503bo5bo$444bo25b2o31b2o4bo$442bobo25bobo
36bo$443b2o27bo32bob4o$472b2o$493b2o3bo$493bo3bobo$494bo3bobo222b2o$
481b2o12bo3bobob2o218b2o$482bo10bob4o2bob2o218b2o$479b3o10bobo3bobo
223bo$479bo12bobo2bo2b2ob2o218bobo$493bo3b2o2bobo219bobo$455bo45bobo
10b2o208bo$456bo45bo11b2o$454b3o$711b3o7b2o3b2o$712bo8bobobobo$712bo9b
5o$711b3o9b3o$724bo$711b3o$711b3o2$711b3o$712bo$712bo$711b3o7bobo$476b
o244b2o$474bobo245bo$475b2o2$725b3o$724bo3bo$715bo7bo5bo$476bobo234b2o
9bo3bo$477b2o235b2o9b3o$477bo247b3o4$706b3o16b2o$725b2o$718bobo$713bo
4bo3bo$713bo8bo$718bo4bo$722bo$718bo3bo3b2o$718bobo5bobo$691bo36bo$
691bobo11b2o3b2o16b2o$691b2o12b2o3b2o2$707b3o$707b3o10bo$708bo10b2o$
718b2o4b2o2b2o$717b3o4b2o2b2o$718b2o4b2o$719b2o$504bo215bo$502bobo$
503b2o10$515bo$516bo$514b3o13$536bo$534bobo$535b2o5$536bobo$537b2o37b
2o$537bo38b2o$597bo$595b3o$594bo$594b2o2$614bo$612b3o$611bo$598b2o11b
2o11bo198b2o$576b2o20b2o24b3o196b2o$576b2o49bo$626b2o$631bo9b2o$566b2o
9b2o52bobo7bo$566b2o4bobobo2bo51b2o5b2obo$572bobo2b2o58bo2bo$571b3o5bo
58b2o$570b2o6bo44b2o$578bo8b2o34b2o196b2obob2o$578bo8bobo221b3o$576b2o
bo9bo221bobo7bo5bo$575b2o3bo8b2o220b3o$574bobo2bo30b2o3bo195b3o8b2ob2o
$564bo8b2o2b2o31bo3bobo194b3o10bo$562bobo8b2ob2o33bo3bobo193b3o331b2o$
563b2o9bobo21b2o12bo3bobob2o189bobo331b2o$575bo23bo10bob4o2bob2o189b3o
$596b3o10bobo3bobo$596bo12bobo2bo2b2ob2o526bo$610bo3b2o2bobo200bo182b
2o141bo$618bobo10b2o179bobo4b2o4b3o176b2o141bo$619bo11b2o178bo2bo5b2o
2bo3bo305bo$812bo321bo$813bo9bo5bo313b2o3b2o$823b2o3b2o304bo11bo$575bo
557bobo7bo5bo$576bo567b2ob2o$574b3o249bo178bo127b3o9bobo$825bobo164b3o
9b3o139bo$825bobo165bo9b5o138bo$827bo165bo8bobobobo124b3o$827bo164b3o
7b2o3b2o$824bo2bo305bobo$825b2o165b3o139bo$820b2o170b3o10bo$819bo3bo
180bobo127bo7bobo$818bo5bo167b3o9bob2o126bo7b2o$818bo3bo2bo167bo11b3o
135bo3b3o$818bo174bo11bo2bo137bo3bo$819bo3bo3bo164b3o11b3o136bo5bo$
596bo223b2o3b2obo176bo3bo135b2obob2o$594bobo231bo175bo5bo$595b2o231b2o
169bo5bo3bo126bo$998bo7b3o125b2o12bo$998b3o134b2o10bobo$805b2o3b2o180b
3o152bobo$807b3o8bobo173bo153bo$596bobo207bo3bo6bo2bo167b2o139b2o$597b
2o208bobo6b2o10b2o158bo3bo135bobo16b2o$597bo210bo5b2o3bo8b2o159b2o6b3o
129bo17b2o$816b2o5b2o172b2obo119bo22bo$817bo2bo4bo170bo3bo118bo22bobo$
818bobo298b3o19bo3b2o$1006b2o133bo3b2o$1006b2o133bo3b2o$998bobo141bobo
3b2o$996bo3bo142bo4bobo$996bo153bo$995bo4bo149b2o$996bo130b2obob2o$
996bo3bo6b2o$989bo8bobo6bobo117bo5bo$988b3o18bo131b2o$988b3o18b2o117b
2ob2o8b2o$1130bo7b2o6bo3b2o$986b2o3b2o144b3o5bo3bobo$986b2o3b2o145b2o
6b5o$998bo142b2o4b3o$998b2o141b2o$989bo3b2o4b2o8b2o$988bobo2b2o4b3o7b
2o$988bobo2b2o4b2o$989bo8b2o$624bo373bo$622bobo$623b2o8bo$631bobo468b
2o$632b2o468bo$1103b3o$1105bo$752bo$752bobo$752b2o3$635bo$636bo40b2o$
634b3o40b2o$698bo248bo$696b3o246b2o$695bo250b2o$695b2o2$715bo$713b3o$
696b2o14bo$695bobo14b2o11bo$694b2obo27b3o$695b2o31bo$696bo30b2o$656bo
85b2o$654bobo10b2o33b2o38bo$655b2o10b2o32bo37b2obo$738bo2bo$739b2o$
724b2o$688b2o34b2o$656bobo29bobo9b3o$657b2o31bo$657bo32b2o10bo$702b2o
7b2o3bo343bo$702b2o7bo3bobo341bo$712bo3bobo340b3o$699b2o12bo3bobob2o$
700bo10bob4o2bob2o$697b3o10bobo3bobo$697bo12bobo2bo2b2ob2o$711bo3b2o2b
obo$719bobo10b2o$720bo11b2o14$684bo$682bobo$683b2o8bo$691bobo$692b2o8$
695bo$696bo$694b3o$887bo$885b2o$886b2o3$714bo$712bobo$713b2o5$716bo$
714bobo$715b2o5$716bobo$717b2o$717bo$1000bo$999bo$999b3o21$744bo$742bo
bo$743b2o8bo$751bobo$752b2o8$755bo$756bo$754b3o$827bo$825b2o$826b2o3$
774bo$772bobo$773b2o5$776bo$774bobo$775b2o5$776bobo$777b2o$777bo$940bo
$939bo$939b3o41$834bo$832bobo$833b2o5$836bo$834bobo$835b2o5$836bobo$
837b2o$837bo$880bo$879bo$879b3o21$864bo$862bobo$863b2o8bo$871bobo$872b
2o8$875bo$876bo$874b3o11$890b2o$890b2o!

EDIT: Actually, I think only the two Simkin glider guns and the p240 glider gun that shoots NE need to be replaced by higher periods guns in order to get a lower expansion factor. The other eight guns can stay at p240 I believe.

[Dean Hickerson]

According to Dean's calculation above this should be a sawtooth of expansion factor 1 + 8 * 5 / 240 = 7/6.

Nice work! You beat me to it.

Here's another e.f. 7/6 sawtooth, with a much different design. This can be shrunk quite a bit. I'll work on that later.

Code: Select all

x = 576, y = 755, rule = B3/S23
228b2o$228b2o9$216b3o$215bo3bo$214bo5bo6b5o$226bob3obo$213bo7bo5bo3bo$
213bo7bo6b3o$229bo$214bo5bo$156b2o57bo3bo$156b2o58b3o$231bo$231bo$224b
o5bobo$224bobo2b2ob2o$224b2o2bo5bo$168bo47b2o13bo$168bo47b2o10b2o3b2o$
155b3o9b3o$154bo3bo$153bo5bo72bo$153b2obob2o7b3o62bo$168bo64bo$168bo$
156bo11bo$155bobo10bo61b2o$155bobo9b3o60b2o$155b2o67b2o$154bo68bobo$
153b3o11b3o52b3o$152bo3bo11bo52b3o$151bob3obo10bo53b3o$152b5o4bo61bobo
5b2o$162b2o60b2o5bobo$161b2o70bo$233b2o$213bo$167b2o43b3o$167b2o42b5o$
168bo2b2o37b2o3b2o6bo$211b5o5bobo$169b2o40bo3bo3b2o12b2o$212bobo4b2o
12b2o$154b2o57bo5b2o$154b2o65bobo$161bo61bo$161b4o$162b4o61bo$162bo2bo
59bobo$162b4o51bo5b2o$153b2o6b4o51bobo4b2o12b2o$152bobo6bo53bo3bo3b2o
12b2o$152bo18b3o41b5o5bobo$151b2o17bo3bo39b2o3b2o6bo$215b5o$169bo5bo
40b3o$169b2o3b2o41bo$163b2o72b2o$162bo3bo70bo$151b2o8bo5bo4bo55b2o5bob
o$151b2o8bo3bob2o2bobo53bobo5b2o$161bo5bo3bobo52b3o$162bo3bo5bo52b3o$
163b2o61b3o$227bobo$228b2o$234b2o$234b2o3$237bo$236bo$236bo3$220b2o10b
2o3b2o$220b2o13bo$228b2o2bo5bo$228bobo2b2ob2o$228bo5bobo$235bo$235bo$
220b3o$219bo3bo$218bo5bo$233bo$217bo7bo6b3o$217bo7bo5bo3bo$186bobo41bo
b3obo$185bo32bo5bo6b5o$185bo33bo3bo$185bo2bo31b3o$185b3o8$232b2o$232b
2o12$140b2o5bo11bo5b2o$139b3o3bo3bo7b3o5b2o$127bo8bob2o5bo10bo$127bobo
6bo2bo4bo5bo5b2o$128bobo5bob2o9b2o$115b2o11bo2bo7b3o$115b2o11bobo9b2o$
127bobo$127bo9bo$138b2o11b2obob2o$137b2o12bo5bo5b2obob2o$152bo3bo$153b
3o7bo5bo2$128b4o32b2ob2o$127b6o33bo$126b8o10bobo$125b2o6b2o10b2o$126b
8o11bo17bo$127b6o29bobo$128b4o29bo3b2o$161bo3b2o$161bo3b2o$146bo15bobo
$147bo15bo$145b3o2$40bo21bo5b2o$39bobo18b3o5b2o$29b2o6b2o3bo16bo$28bob
o4b2obo3bo9b2o5b2o$27b3o4b3obo3bo9b2o$18b2o6b3o4bo2b2obobo$18b2o7b3o4b
2o4bo$28bobo$29b2o$69bo$43bo10b2obob2o7b3o$41bobo23b5o$42b2o10bo5bo5b
2o3b2o2$55b2ob2o$57bo$27bo2bob2obo2bo7bobo19b3o$27b4ob2ob4o7bobo19b3o$
27bo2bob2obo2bo8bobo14b2o$49bo14b2o128b2o$49bo11b2o6b2o123bobo$60b3o5b
o2bo124bo$61b2o6b2o125bob2o$64b2o130bobobo$64b2o128bo6bo$192b5ob2obo$
195bo4bo$196b4o$193bobo$193b2ob2o$193b2o3bo$193b2ob2o$193b2o$99b2o92b
3o$98b4o91b2o3b2o$98b2ob2o90b2o4bo$100b2o97bob2o$196b2obo2bo$194b2obob
2o$194b2obo$180bo16bo$179b3o15b2o$179b3o$179bobo$179b3o$178b5o$177bo5b
o$177bo5bo$176b2obobob2o$175bo2b2ob2o2bo$175b2o7b2o2$203bo$201bobo$
202b2o2$206bo$207bo$205b3o$47b2o$46bo3bo$45bo5bo$45bo3bob2o$45bo5bo10b
2o$11bo6bo27bo3bo9bo3bo$10b2o6b2o5b2o20b2o10bo5bo$9b3o6b3o4b2o31b2obo
3bo$10b2o6b2o31bo7bo5bo$11bo6bo31bobo7bo3bo27bo6bo$49bo3bo8b2o20b2o5b
2o6b2o$38b3o9b3o31b2o4b3o6b3o$37bo3bo6b2o3b2o4bo31b2o6b2o$23bo34bobo
31bo6bo$23b2o11bo5bo14bo3bo$22bobo11b2o3b2o15b3o9b3o334b2o5bo17b2o$13b
o42b2o3b2o6bo3bo333b2o5b3o8b3o4b2o$12bobo72bo329bo6b5o6b2o10bo$2o9bo3b
2o8bo42bo5bo11b2o328b2o5bobo3bo5b3o7bobo$2o9bo3b2o5b4o42b2o3b2o11bobo
334b2o3bo6b2o6b2o$11bo3b2o4b4o9b2o61bo161b3o143b2o13bo11b2o9b2o12b2o$
12bobo6bo2bo9b2o5b2o53bobo160b3o158bo11b2o9b2o12b2o$13bo7b4o5bo10bo43b
o8b2o3bo9b2o137bo10b3o183bobo$22b4o4bo11b3o5b2o33b4o5b2o3bo9b2o137b3o
5b3o176bo11bo$25bo18bo5b2o23b2o9b4o4b2o3bo151bo4b3o157b2o3b2o12bobo$
68b2o5b2o9bo2bo6bobo151b2o4b3o145b2o3b2o6b5o13b2o$69bo10bo5b4o7bo307b
5o8b3o$59b2o5b3o11bo4b4o164bo151b2ob2o9bo$59b2o5bo18bo166bobo150b2ob2o
$248b2o2b2o152b3o$248b2o178bo12b6o$427bo12bo6bo$427b3o9bo8bo$410bo29bo
6bo$409bobo29b6o$408bob2o$407b2ob2o$408bob2o12b2o$409bobo12b2o$410bo7$
279b2o$279bo$277bobo$277b2o4$263bo9b3o$261bobo9b3o$262b2o13b3o$277b3o$
266bo6b3o$267bo5b3o$265b3o2$404bobo$404b2o$405bo5$179bo35b2o$174bo4b4o
33b2o$174bo5b4o31bo$169b2o9bo2bo6bo$169b2o9b4o5b3o$179b4o5bo3bo$179bo
7bob3obo$188b5o3$169b2o$170bo$170bobo5bo$171b2o5b2o$179b2o$179b3o$174b
2o3b2o$178b2o$178bo$172b2o$171bobo17b2o$170b3o18b2o$170b2o$170b2o13b2o
$171bobo10bobo$172bo13bo3$169b2o3b2o225b2o$169b2o3b2o224b2o$402bo$171b
3o3b3o$171b3o5bo$172bo5bo2$186bo$185bobo$184bo3bo$184bo3bo$173b3o8bo3b
o$173b3o8bo3bo$172bo3bo7bo3bo$184bo3bo$171b2o3b2o7bobo$186bo$323bo$
321bobo$215b2o105b2o$214bobo115bo$216bo109bo6bo$327bo3b3o$325b3o2$174b
2o$174b2o8$375bo$373b3o$372bo$372b2o5$208bobo$196b2o10bo3bo$196b2o14bo
$208bo4bo$212bo$208bo3bo$174bobo2bobo26bobo$170b2obo2bo2bo2bob2o6bo
113bo$174bobo2bobo10b2o112b3o$191bobo115bo$214bo93b2o$213b3o$213b3o$
297b2ob2o$201b3o7b2o3b2o79b2obo$184b2o14bo3bo6b2o3b2o82bo$172bobo10b2o
12bo5bo94b3o4b2o$172bo2bo8bo15bo3bo93b2o3bo3b2o$163b2o10b2o11b2o11b3o
10bo82bo2b4o157b2o$163b2o8bo3b2o8bobo11b3o9bobo81b2obo15b2o142b2o$168b
2o5b2o9bo6b2o2b2o16b2o81bo2b3o12bobo143bo$167bo4bo2bo10bo2bo2bo2bob2o
5b2o9b2o81bo5bo13bo$172bobo11bo6b2o9bo9b3o82b5o14b2o$187bobo15b3o5bobo
85bo$188b2o17bo5b2o5$330bo$328b3o$327bo$327b2o7$317b2o$316bobo5b2o$
316bo7b2o$315b2o2$329bo$325b2obobo$324bobobobo$321bo2bobobob2o$321b4ob
2o2bo$325bo4bo$321b2o2bob3o$321b2o3b2o17$177b2o20bo5b2o$179bo17b3o5b2o
$166b2o12bo15bo$166b2o4bo7bo8b2o5b2o$163b2o5b2o8bo8b2o$155b2o5b3o5bo2b
2o4bo$155b2o6b2o6b5ob2o$166b2o4bo$166b2o38bo$205b3o$180bo23b5o312b2o$
181bo21bobobobo310b2o$179b3o9b2o3b2o5b2o3b2o312bo$193b3o$192bo3bo$193b
obo10bo$163b2o3bo2bo3b2o17bo10bobo$163b5o4b5o7b3o18bobo$163b2o3bo2bo3b
2o7bo15bobo3bo$185b3o11bo2bo3b2o$198b2o6b2o$196b2o3bo3bo2bo$198b2o6b2o
$199bo2bo$200bobo10$238b2o118b2o167bo$236b2ob2o115b2ob2o164b4o12b2o$
236b4o116b4o78b2o84bobob2o11b2o$237b2o118b2o79b2o83bo2bob3o29b2o$524bo
bob2o28bo4bo$525b4o28bo6bo$527bo16b2o10bo8bo$544bobo9bo8bo$544bo11bo8b
o$459b2o62b3o31bo6bo$459b2o62b3o32bo4bo$522bo3bo9bo23b2o$535b3o$521b2o
3b2o6b5o$533bobobobo11b3o$533b2o3b2o11bo$552bo9bo$561bobo$549bobo8bob
2o10b2o$549bo2bo6b2ob2o10b2o$540b2o10b2o6bob2o$533b2o5b2o8bo3b2o5bobo$
534bo10b2o5b2o8bo$524b2o5b3o10bo4bo2bo$524b2o5bo17bobo$183b2o$182bobo$
181bo6b2o$181bo2bo2bo2bo$181bo6b2o10b2o$147b2o6b2o25bobo15bobo$146bo2b
o4bo2bo4b2o19b2o10b2o6bo$145b6o2b6o3b2o30bo2bo2bo2bo$146bo2bo4bo2bo29b
3o5b2o6bo$147b2o6b2o30b3o10bobo25b2o6b2o$175b3o8bo3bo9b2o19b2o4bo2bo4b
o2bo$185bo5bo29b2o3b6o2b6o$175bobo8bo3bo4b3o29bo2bo4bo2bo164b3o$160b2o
12b5o8b3o5b3o30b2o6b2o167bo$161b2o10b2o3b2o14bo3bo8b3o194bo$160bo12b2o
3b2o13bo5bo$149b2o43bo3bo8bobo$148bo3bo42b3o8b5o12b2o$137b2o8bo5bo7bo
43b2o3b2o10b2o$137b2o8bo3bob2o4bobo43b2o3b2o12bo$147bo5bo3b2o12b2o61b
2o$148bo3bo4b2o12b2o5b2o52bo3bo$149b2o6b2o19bo44bo7bo5bo8b2o$159bobo
17b3o5b2o34bobo4b2obo3bo8b2o$161bo19bo5b2o23b2o12b2o3bo5bo$205b2o5b2o
12b2o4bo3bo$206bo19b2o6b2o$196b2o5b3o17bobo$196b2o5bo19bo30$438b3o$
437bo2bo$440bo$440bo$437bobo10$343b3o$345bo$344bo21$338bo$324b2o12bobo
$324b2o13bobo$339bo2bo$339bobo$338bobo$302b8o28bo$302bob4obo10b2o$302b
8o11b2o$320bo21bo$342bo$341bobo$340b2ob2o$329b3o7bo5bo$313bo14bo3bo9bo
$313b2o12bo5bo5b2o3b2o$301bobo8bobo12bo5bo$301bo3bo24bo$291b2o12bo10b
2o10bo3bo10bo$291b2o8bo4bo7bo2bo7bo3bo13bo$305bo7bo7b2o3bo3bo2bo10bo$
301bo3bo7bo6bo5bo6bo$301bobo9bo7b5o6bo$314bo2bo15b3o5b2o$316b2o17bo5b
2o52$392b2o$392b2o6$438b3o$403b3o31bo2bo$392bo47bo$391b3o8bo3bo33bo$
390b5o7bo3bo30bobo$389b2o3b2o$403b3o3$391b3o9b3o$391b3o$402bo3bo$390bo
11bo3bo$389bobo$388bo3bo10b3o$389b3o$387b2o3b2o4bo$396bobo$397b2o5b2o$
404b2o8$390b2o$390b2o$396bobo$396bo2bo$399b2o61b2o$397bo3b2o50b2o7bo2b
o$399b2o51bo4b2o7bo$389b2o5bo2bo52bo6bo6bo6b2o$388bobo5bobo54b6o7bo6b
2o$388bo19bo53bo2bo$387b2o18b3o52b2o$406b5o$405bobobobo38b2o3b2o$405b
2o3b2o39b5o$400bo50b2ob2o17b2o$399b4o48b2ob2o17bo$387b2o9b2obobo4bo43b
3o6bo9bobo$387b2o8b3obo2bo2bobo50bobo8b2o$398b2obobo3bobo49bob2o$399b
4o5bo49b2ob2o$400bo58bob2o$460bobo$404bo56bo$403b4o5bo57b2o$402b2obobo
3bobo56b2o$391b2o8b3obo2bo2bobo$391b2o9b2obobo4bo43bo$403b4o47b2o$404b
o50bob2o$409b2o3b2o40b2o$409bobobobo$410b5o$391b2o18b3o48b2o7bo$392bo
19bo48b2o7b3o$392bobo5bobo60bo5b5o$393b2o5bo2bo64b2o3b2o$403b2o52bo$
401bo3b2o49bobo$403b2o63b2o$400bo2bo63bo$400bobo53b3o11bo$394b2o60b3o
8bo2bo$394b2o61bo9b2ob2o$469b2o2$457bo$456b3o7b2o3b2o$456b3o7b2o3b2o$
467b5o$468bobo$408b2o46bobo$401b2o5b2o47bo10b3o$400bobo$391b2o3b2o4bo$
393b3o$392bo3bo10b3o$393bobo$394bo11bo3bo57b2o$406bo3bo57b2o$395b3o$
395b3o9b3o3$407b3o$393b2o3b2o$394b5o7bo3bo$395b3o8bo3bo$396bo$407b3o7$
396b2o$396b2o!

[simsim314]

Well done Chris and Dean!

@Dean: you can use Chris's inserter, it works for the push5 as well:

Code: Select all

x = 311, y = 179, rule = B3/S23
25$277b2o$277b2o6$277b3o$276b2ob2o$276b2ob2o$266bo9b5o$266bo8b2o3b2o$
265bobo$266bo$266bo11b2o$266bo9b5o$266bo13bo$39b2o224bobo8b3o$39b2o
225bo9bo$266bo10b2o$277b2o3$38b3o236b2o3b2o$38b3o236bobobobo$37bo3bo
228bobo5b5o$270b2o7b3o$36b2o3b2o8bo219bo8bo$50bobo213bo$49bo3bo210b2ob
o$49bo3bo209bo$49bo3bo212b2o$36b3o10bo3bo209b3o$40b2o7bo3bo$40b2o7bo3b
o225b2o$41b2o7bobo226b2o$39bobo9bo218bo$39b2o227b4o$267bobob2o$266bo2b
ob3o$34b2o3b2o226bobob2o$34b2o3b2o220b3o4b4o8b2o$46bo214b3o6bo9bobo$
36b3o8b2o211bo3bo17bo$36b3o7b2o234b2o$37bo13bobo205b2o3b2o$50bo$50bo3b
o$50bo3bo209b2o5b2o$51bo2bo207bo4bo3b3o$53bo213bo5b2obo5b2o$37b2o222bo
6bo4bo2bo5b2o$37b2o222bobo9b2obo$46bo224b3o$45b2o224b2o$44b2o4b2o$43b
3o4b2o$44b2o4b2o3bo$36b2o7b2o7b3o$35bobo8bo6bo3bo$35bo16bob3obo$34b2o
17b5o2$225bo$225bobo$45bo179b2o$42b4o4bo$34b2o5b4o5bo$34b2o5bo2bo$41b
4o$42b4o$45bo9$92bo$93bo$91b3o6$131b2o$131b2o$152bo$150b3o$149bo$149b
2o2$169bo$167b3o$166bo$153b2o11b2o11bo$153b2o24b3o$182bo$181b2o$196b2o
$121b2o73bo$121b2o70b2obo$174b2o16bo2bo$173bo2bo16b2o$173bo2bo$142b2o
29b2ob2o$142bobo30b2o$144bo$144b2o$165b2o3bo$165bo3bobo$166bo3bobo$
153b2o12bo3bobob2o$154bo10bob4o2bob2o$151b3o10bobo3bobo$151bo12bobo2bo
2b2ob2o$165bo3b2o2bobo$173bobo10b2o$174bo11b2o15$149bo$147bobo$148b2o
2$152bo$153bo$151b3o!

Another question: how do you adjust the expansion factor, by changing the gun period? Can we build sawtooth with 1.001 expansion factor?

[Dean Hickerson]

Here's another e.f. 7/6 sawtooth, with a much different design. This can be shrunk quite a bit. I'll work on that later.

Dean: you can use Chris's inserter, it works for the push5 as well:

I noticed that, and rebuilt the salvo gun. Can someone tell me who found that? LifeWiki's "Edge shooter" page says "Herschel circuitry includes several components that can be used to build edge-shooting guns with adjustable period, depending on the input signal.", but doesn't give any details.

I also replaced most of the p240 guns by p120 guns, used smaller LWSS guns (based on a reaction found by Paul Callahan in 1994, which I'd forgotten about), and squeezed everything as tightly as I could. I think the minimum repeating population is 1224, but I haven't done the analysis yet to be sure of that.

Code: Select all

#C Sawtooth with expansion factor 7/6
#C Description to be added later.
x = 223, y = 268, rule = B3/S23
105bo$103b3o$102bo$102b2o5$106b2o5b2o$106b2o5b2o2$109b2o$109b2o2$34b2o
$34b2o$55bo30b2o$8b2o43b3o30b2o13bo$8b2o42bo46b2obo$52b2o28b2o5b2o9bob
2o$82b2o5b2o11bo$11b2o59bo$11b2o57b3o$46bo2bo19bo$8b2o5bo29bo3b2o5b2o
11b2o11bo$8b2o4b3o28bo3bo6b2o24b3o$2o11bo2b2o27bo3bo35bo$bo11bo32bo2bo
34b2o$bobo10bo33bo50b2o$2b2o14bo5b2o73bo$16bobo5b2o70b2obo$17b2o76bo2b
o$96b2o2$45b2o40bo$45bobo38b2o$47bo38bo$47b2o33b2o3bo$68b2o3bo7b2o$68b
o3bobo7b3o$69bo3bobo7bobo$19b2o35b2o12bo3bobob2o4bo$19b2o36bo10bob4o2b
ob2o$54b3o10bobo3bobo$16b2o36bo12bobo2bo2b2ob2o$16b2o50bo3b2o2bobo$76b
obo11bo$77bo11b2o$19b2o$19b2o49bo2$68b3obo$58bo8bob2o$58b3o6b2obo$44bo
16bo3bob3o$45bo14b2o$43b3o21bo$63bo$62bobo$48bo9b2o2b2o$46bobo9b2o$47b
2o$149bo$147b3o$146bo$146b2o$57bo$57b2o$56bobo$82b2o$82bo67b2o5b2o$80b
obo59bo7b2o5b2o$80b2o$11b2o125bob2o11b2o$11b2o121b2obobo13b2o$134b2ob
3o$136b2o2$81b2o47b2o$81b2o47b2o$23bo29b2o5b2o$23bo29b2o5b2o64b2o5b2o$
8b2o3b2o111b2o5b2o$11bo11bo32b2o$8bo5bo7bobo31b2o$9b2ob2o37b2o$10bobo
9b3o26bob2o$11bo42bo$11bo21b2o17bobo$22b3o8b2o17b2o2$22bobo4b2o5b2o$
23bo5b2o5b2o2$13bobo7bo$14b2o7bo$8b3o3bo$7bo3bo28b2o27b2o5b2o$6bo5bo
28bo27b2o5b2o$6b2obob2o25b3o19bo$38bo18b3o12b2o84bo$21bo31b2obo15b2o
83b2o$22b2o29bo4bo98bobo$21b2o31b3o2$49b2o$28b2o19b2o$9b2o17b2o$9b2o
34b2o5b2o$14bo30b2o5b2o$13bobo$11b2o3bo$11b2o3bo$11b2o3bo$8b2o3bobo40b
2o$7bobo4bo42bo$7bo46b3o$6b2o46bo$24b2obob2o2$24bo5bo2$25b2ob2o$27bo
100b2o$128bo$126bobo$126b2o2$27b2o$27b2o173b2o$61b2o5b2o118bo13b2o$61b
2o5b2o117b2o$187bobo$64b2o$64b2o9bo$75b3o125bo6b2o$78bo123bobo3bobo$
77b2o123bobo2b2o$206bobo$41b2o2bo160b2o$46bo19b2ob2o136bo$37b2o3bo3b2o
18b2obo$37b2o4b4o22bo$43b3o23b3o4b2o$67b2o3bo3b2o$66bo2b4o$66b2obo15b
2o$48b2o17bo2b3o12bobo$49bo17bo5bo13bo$46b3o19b5o14b2o130b2o$46bo23bo
22bo125bobo$91b3o127bo$90bo130b2o$90b2o121b2o$213b2o2$102bo18bobo86b2o
$102b3o16bo3bo84b2o$105bo19bo7bo$104b2o5b2o8bo4bo4b4o$80b2o29b2o12bo4b
obob2o77b2o$79bobo5b2o32bo3bo3bo2bob3o76b2o$79bo7b2o32bobo6bobob2o$78b
2o51b4o8b2o$133bo9bobo$92bo11b2o3b2o11bo22bo$88b2obobo10b2o3b2o11bobo
20b2o$87bobobobo28b2o$84bo2bobobob2o11b3o$84b4ob2o2bo12b3o$88bo4bo13bo
$84b2o2bob3o34b2o6b2o$84b2o3b2o35bo2bo4bo2bo$120b2o4bo2bo4bo2bo$99bo
20b2o4bo2bo4bo2bo$99b2o26b2o6b2o$94b2o4b2o$90b2o2b2o4b3o$90b2o2b2o4b2o
$99b2o$99bo3$107bo$106b4o$94b2o9b2obobo50b2o$94b2o8b3obo2bo49b2o$105b
2obobo$106b4o$107bo3$109b3o70b2o$109b3o70b2o$108bo3bo2$107b2o3b2o8$
112b2o$112bo$108bo4b3o$108b3o4bo$111bo$110b2o2$180bo$180b3o$183bo$182b
2o$110b2o3b2o$110bo5bo2$92b2o17bo3bo$93bo18b3o57b3o$93bobo6bo79b2o3b2o
$94b2o6b4o19b2o44bo3bo7b5o$103b4o17bobo44bo3bo8b3o$103bo2bo19bo58bo$
103b4o65b3o$102b4o$102bo$95b2o75b3o$95b2o17b2o$114b2o55bo3bo$171bo3bo
8bo$182b2o$172b3o8b2o4$172bobo$172bob2o8b2o3b2o$173bo3bo8b3o$93b5o77b
2o8bo3bo$92bob3obo10bo66bo9bobo$93bo3bo11bo77bo$94b3o11b3o$95bo$96b2o
49bo$96bobo9b3o35bobo37b2o$96bobo10bo29b2o4bob2o37b2o$97bo11bo29b2o3b
2ob2o29bobo$109bo35bob2o29bo2bo$109bo36bobo32b2o$94b2obob2o7b3o36bo31b
o3b2o$94bo5bo59bo20b2o$95bo3bo59b3o16bo2bo5b2o$96b3o9b3o47b5o15bobo6bo
bo$109bo47b2o3b2o25bo$109bo56b2o3b2o16b2o$166bobobobo$167b5o$168b3o$
169bo2$97b2o$97b2o61b2o$160b2o3$169b2o$169b2o!

Another question: how do you adjust the expansion factor, by changing the gun period?

With my current design, I think that we just need to replace the 4 p240 guns by larger multiples of 120, and move the 2 snarks farther southwest. We'll have to spread things apart a bit, to make room for the larger guns.

If we want to use periods that aren't multiples of 120, then we'd have to replace all of the p120 guns; it should work, but I'm not eager to try.

I'll try to build one with p720 guns (e.f. = 19/18), to make sure that I'm not overlooking something.

Can we build sawtooth with 1.001 expansion factor?

In theory, yes. The e.f. is 1 + 40/P, where P is the period of the guns. To get exactly 1.001, we'd need P=40000.

[simsim314]

I noticed that, and rebuilt the salvo gun.

Looks good!

With my current design, I think that we just need to replace the 4 p240 guns by larger multiples of 120

I hope you've heard of the semi snark...just in case:

Code: Select all

x = 78, y = 94, rule = B3/S23
19$67bo$65b3o$64bo$56b2o6b2o$56bobo$57bo2$62b2o$62b2o5b2o$69b2o3$52b2o
$52b2o7b2o$62b2o$61bo5b2o$67bobo$69bo$69b2o18$36bo11b2o5b2o$36b3o9b2o
5b2o$36bobo$38bo12b2o$51b2o4$28b2o$28b2o2$24b2o5b2o$24b2o5b2o5$35b2o$
36bo$33b3o$33bo!

Can someone tell me who found that?

I've checked what was used in Gemini, and it's also robust and would fit here, but it's much more heavy, so it's probably relatively new invention (dvgrn should know the author):

Code: Select all

x = 250, y = 122, rule = B3/S23
243b2o$243b2o4$244bo$243b3o$242bo3bo$241bob3obo$242b5o$231b3o$230bo3bo
$229bo5bo2$228bo7bo$228bo7bo6bo2b2o$243bobo$5b2o222bo5bo6b2o$5b2o223bo
3bo6b2o$231b3o7b2obo$242b3o$5bo$4bobo$3bo3bo235b2o3b2o$3b5o238bo$2b2o
3b2o234bo5bo$3b5o8b3o209bo6bobo6b2ob2o$4b3o8bo3bo207bo7b2o8bobo$5bo9bo
3bo207b3o6bo9bo$16b3o227bo3$4bo$6b2o$5b3o8b3o226b2o$5b2o8bo3bo225b2o$
6bo8bo3bo217b2o$5bobo8b3o218bobo$6b2o224b2o4b3o$228bo2bo2bo4b3o$227bob
2ob2o4b3o$2obob2o219bo3bo6bobo6b2o$226b5o6b2o7bobo$o5bo6bo211b2o3b2o
16bo$14b2o6bo203b5o17b2o$b2ob2o7b2o5bobo204b3o$3bo17b2o205bo2$239bo$
239bobo$242b2o4b2o$3b2o237b2o4b2o$3b2o237b2o$11b2o226bobo$11b2o226bo$
8b2o6b5o$7b3o5bo6bo$8b2o6b2o4bo$2b2o7b2o$bobo7b2o$bo$2o16b2o3b2o$19b5o
$20b3o$21bo$8bo$7bobo$2o4bob2o$2o3b2ob2o$6bob2o$7bobo$8bo7$89bo18bo$
89b3o6b2o6b3o$92bo5b2o5bo$91b2o12b2o3$104b2o$99b2o3b2o$99b2o67bo$167bo
$167b3o2$110bo7bo$108b3o5b3o$107bo7bo$107b2o6b2o2$135bo$133b3o$132bo$
107bo11b2o11b2o11bo$107b3o9b2o24b3o$107bobo38bo$109bo37b2o$162b2o$162b
o$82bo76b2obo$80bobo75bo2bo$81b2o76b2o$144b2o$144b2o4$131b2o3bo$131bo
3bobo$118b2o12bo3bobo$117bobo13bo3bobob2o$117bo13bob4o2bob2o$116b2o12b
obo3bobo$130bobo2bo2b2ob2o$131bo3b2o2bobo$139bobo10b2o$140bo11b2o!

[chris_c]

Here's another e.f. 7/6 sawtooth, with a much different design. This can be shrunk quite a bit. I'll work on that later.

Very nice! (And the shrunk version even more so). For the life of me I could not understand how this part would work:

Somehow we'll have to deal with a synchronization problem: The return gliders arrive every P + 8d gens, so each one will have to suppress either 1 or 2 salvos.

And so I was fixed on Alexey's original idea with two distinct salvos. Your implementation is really neat.

Another question: how do you adjust the expansion factor, by changing the gun period? Can we build sawtooth with 1.001 expansion factor?

Not expansion factor 1.001 but here is a sawtooth with expansion factor 25/24 using three p960 guns. It is a vaguely optimised version of my other sawtooth.

Code: Select all

x = 660, y = 645, rule = B3/S23
120b2o$120b2o3$118bo$119bo$119bo$132bo$132bo$117b2o3b2o$120bo11bo$117b
o5bo7bobo$118b2ob2o$119bobo9b3o$120bo$120bo$131b3o32bo$164b3o$131bobo
29bo$132bo22b2o6b2o$155bobo$122bobo7bo23bo$123b2o7bo$117b3o3bo$116bo3b
o47b2o$115bo5bo38b2o6b2o$115b2obob2o38b2o2$130bo20b2o$118bo12b2o18b2o$
117bobo10b2o$117bobo46b2o$118bo47bobo$136b2o30bo$118b2o16bobo29b2o$
118b2o17bo$123bo22bo$122bobo22bo$120b2o3bo19b3o$120b2o3bo33b2o$120b2o
3bo33bo$117b2o3bobo32bobo$116bobo4bo33b2o$116bo$115b2o25b2o$133b2obob
2o2b2o2$133bo5bo$159b2o$134b2ob2o13b2o5b2o$136bo15b2o2$147bo$146bobo$
146b2o6b2o$136b2o16bo$136b2o17b3o$157bo15$188bo$188b3o$191bo$190b2o4$
210b2o$210b2o2$188b2o$188b2o2$234b2o$234b2o5$233b3o$233b3o$232bo3bo2$
231b2o3b2o5$158bo$137b2o17b3o$137b2o16bo$147b2o6b2o$147bobo86b2o$148bo
87bo$237b3o$137bo15b2o84bo$135b2ob2o13b2o5b2o$160b2o$134bo5bo2$134b2ob
ob2o2b2o$116b2o25b2o$117bo$117bobo4bo33b2o$118b2o3bobo32bobo$121b2o3bo
33bo$121b2o3bo33b2o$121b2o3bo19b3o$123bobo22bo$124bo22bo$119b2o17bo$
119b2o16bobo29b2o$137b2o30bo$119bo47bobo$118bobo46b2o$118bobo10b2o$
119bo12b2o18b2o$131bo20b2o2$116b2obob2o38b2o$116bo5bo38b2o6b2o$117bo3b
o47b2o$118b3o3bo$124b2o7bo$123bobo7bo23bo$156bobo$133bo22b2o6b2o$132bo
bo29bo$165b3o$132b3o32bo$121bo$121bo$120bobo9b3o$119b2ob2o$118bo5bo7bo
bo$121bo11bo$118b2o3b2o$133bo$133bo$120bo$120bo$119bo3$121b2o$121b2o
39$170b2o$171bo$171bobo8b2o$172b2o8b2o$179b2o6bo3b2o$178b3o5bo3bobo$
179b2o6b5o$182b2o4b3o$182b2o4$100bo$98b3o$97bo$86bo10b2o$85bobo$85bobo
$83b3ob2o20bo$82bo24b3o$76bo6b3ob2o17bo$57b2o17b3o6bob2o17b2o$58bo20bo
$57bo20b2o$57b2o44b2o$38bo9b2o52bo2bo$38b3o7bobo52b2o$41bo7bo$40b2o2$
60b2o$60b2o$32bo$31bobo57b2o$31bobo57bo$29b3ob2o57b3o$28bo65bo$29b3ob
2o$31bob2o35b2o$71bo$68b3o$68bo4$36b2o$36b2o$51b2o$50bo2bo$51b2obo$28b
2o24bo27b2o$29bo24b2o26b2o$26b3o10b2o$26bo13bo$37b3o$37bo92b2o$82bo47b
2o$82bo43bo6b2o$81bobo42bo6b3o5b2o$80b2ob2o48b2o6b2o$79bo5bo36b2o6b2o$
82bo38bobo6b2o64bo$79b2o3b2o35bo73b2o$120b2o72bob2o$193b3o2bo$195bobob
o8bo$196bobobo5b3o$197bo2b3o2bo$198b2obo3b2o$84b2o113b2o$84bo114bo3bo$
85b3o114bobo$87bo115b2o2b2o$207b2o2$223b3o$226bo$222bo3bo$221bobo2bo$
219bo2bobo$219bo3bo$219bo$220b3o$217bo$216bobo$184bo31b2o$182b3o6bo28b
2o$181bo9bobo26bobo$180bobo8b2o22b2o5bo$180bobo32b2o5b2o$181bo2$227bo$
226b3o$225b3obo$165b2o59bo3bo8bo$165b2o60bo3bo5b3o$228bob3o3bo$229b3o
4b2o$230bo$185b2o47bo$185bobo45bobo$187bo46b2o2b2o$178b2o7b2o49b2o$
178b2o$255bo$24b2o8bo133bob2o82bobo$24b2o6b3o131b3ob2o81bo3bo$31bo133b
o86bo3bo$16b2o13b2o133b3ob2o79bo3bo$17bo150b2o2bo77bo3bo$17bobo151bobo
77bobo$18b2o147bob2obobo77bo$167b2obo2bo74bo$25b2o143bo76bobo$25b2o12b
o8b2o109b2o9b2o43bo31b2o$39b3o6b2o109b2o7b2o2bobo38b3o35b2o$42bo124bo
2bo2b2o37bo38bobo$20bo20b2o13b2o110b2o41bobo32b2o5bo$19bobo34bo154bobo
32b2o5b2o$19b2o33bobo155bo$54b2o$49b2o123b3o32bo47b2o$28b2o19b2o125bo
15b2o14b3o$28b2o145bo16b2o13bobobo43bo3bo$196b2o9bobobo43bo4bo$158b3o
35b2o7b2ob3ob2o43bobobo8bo$53bo104bo2bo42bob2obob2obo43bobobo5b3o$52bo
bo103bo28b2o14b2obo5bob2o43bo4bo2bo$53b2o102bo4bo24b2o15b2obo3bob3o44b
o3bo2b2o$149b2o4b3o5bo27b2o12b3o3b3ob3o$149b2o5b2o6bo26b2o23bobo42b2o
2bo$44b2o111b3ob4o53bo45bobo$44b2o112bo3b2o54b2o45b2o2b2o$185b2o36b2o
44b2o$170b2o13b2o35bobo61bo$44b2o124bobo26bob2o21bo61b2o$28bo15bobo
125bo24b3ob2o82b2obo$28b2o17bo7b2o115b2o22bo87bo2b3o$27bobo9bo4bo2bo7b
2o140b3ob2o80bobobo$47bo151b2o2bo78bobobo$10b2o6b2o17b3o4bobo155bobo
75b3o2bo$9bo2bo4bo2bo16b2o5b2o152bob2obobo75bob2o$8b6o2b6o15b2o159b2ob
o2bo77b2o$9bo2bo4bo2bo17bobo160bo77bo3bo$10b2o6b2o7b2o10bo150b2o9b2o
75bobo$26bobo161b2o7b2o2bobo40bo31b2o$28bo169bo2bo2b2o38b3o35b2o$36b2o
3b2o156b2o42bo38bobo$36b2o3b2o199bobo32b2o5bo$37b5o202bo32b2o5b2o$38bo
bo199bob2o47bo$8b2o229bo50b3o$6bo3bo5bo2b3o16b3o182b2o15bo48b3obo$2o3b
o5bo9bo3bo197b2o65bo3bo8bo$2o2b2obo3bo8bo4bobo207b5o51bo3bo5b3o$5bo5bo
16b2o4b2o191b2o3b2o4b3o51bob3o3bo$6bo3bo17b2o4b2o5b2o184b2o3bo60b3o4b
2o$8b2o18b2o11bo176b2o12bo4bo3bo52bo$25bobo14b3o173b2o13b2ob2o2b2o56bo
$25bo18bo135b2o40b2o12bo60bobo$180b2o40b2o12b2obo7b2o49b2o2b2o$236b2o
9bobo7bo44b2o$236b3o10bo7b2o$216b2o31b2o5bobo60bo$201b2o13b2o83bo16bob
o$201bobo96b2o15bo3bo$203bo26bob2o66bobo13bo3bo$203b2o23b3ob2o81bo3bo$
227bo86bo3bo$228b3ob2o81bobo$230b2o2bo81bo$233bobo76bo$229bob2obobo74b
obo$229b2obo2bo43bo31b2o$232bo44b3o35b2o$221b2o9b2o42bo38bobo$221b2o7b
2o2bobo38bobo32b2o5bo$229bo2bo2b2o38bobo32b2o5b2o334b2o$230b2o44bo376b
o2bo$322bo$321b3o333bo$320b3obo$321bo3bo8bo320b2o$198bo55b2o4b2o60bo3b
o5b3o319bo$199b2o53b2o4b2o61bob3o3bo310bo$198b2o124b3o4b2o308bobo$325b
o325b2o3b2o$329bo321b2o3b2o$249b2o29b2o46bobo310b3o8b5o$249b2o29bobo
46b2o2b2o306b3o9bobo$211b2o40b2o27bo50b2o307bo$211b2o40b2o18b2o7b2o
369b3o$273b2o75bo$349bobo290bo$247b2o14bob2o59bo21bo3bo288b3o$232b2o
13b2o12b3ob2o58bo21bo3bo289b3o$209bobo20bobo25bo64b3o18bo3bo$210b2o22b
o26b3ob2o78bo3bo301bo$210bo23b2o27b2o2bo78bobo292bobo6bo$266bobo78bo
294bo7b3o$262bob2obobo73bo312bo$262b2obo2bo73bobo310b3o$265bo44bo31b2o
310b5o$254b2o9b2o41b3o35b2o305b2o3b2o$254b2o7b2o2bobo11b2o24bo38bobo$
262bo2bo2b2o11b2o23bobo32b2o5bo294bo$263b2o41bobo32b2o5b2o293bobo$307b
o335b2o10b3o$354bo300b3o$281b2o$280b3o69bob3o280bo$282bo4b2o65b2obo8bo
270bo17b2o$273b2o4b3o5b2o2b2o61bob2o6b3o115b2o153bo17b2o$271b2ob2o4b2o
9b2o62b3obo3bo118b2o167bo$271bo2bo4b3o81b2o285bobo$271bo2bo4b2ob2o73bo
292b2obo$272b2o5b2ob2o77bo288b2ob2o$233bo47bo29b2o47bobo287b2obo$231bo
bo10b2o40b2o23bobo47b2o2b2o283bobo3b2o$232b2o10b2o40b2o25bo51b2o104bo
179bo4bobo$304b2o7b2o67b2o87bo186bo$304b2o164b3o9b3o135bobo35b2o$280b
2o99bo3bo95bo3bo134b2o13b2o3b2o$265b2o13b2o12bob2o82bo4bo94bo5bo134bo
14b5o$265bobo24b3ob2o81bobobo86b3o7b2obob2o149b2ob2o$267bo23bo86bobobo
88bo164b2ob2o8b2o$267b2o23b3ob2o78bo4bo89bo165b3o7bo2bo7bo$294b2o2bo
70bo6bo3bo90bo11bo162bo7b2o3bo$297bobo68b2o101bo10bobo161bo6bo5bo$293b
ob2obobo67bobo4bo2b2o90b3o9bobo161bo7b5o$293b2obo2bo74bobo106b2o162bo
2bo$296bo45bo31b2o109bo163b2o$285b2o9b2o42b3o35b2o90b3o11b3o$285b2o7b
2o2bobo38bo38bobo90bo11bo3bo$293bo2bo2b2o37bobo32b2o5bo90bo10bob3obo$
294b2o42bobo32b2o5b2o96bo4b5o$339bo136b2o$477b2o3$318b2o$318b2o3b2o$
292bobo2b2o24b2o$258bo33bo2b2o172bobo$259b2o31bo2b2o2bo169b2o$258b2o
33b2o2bobo13b2o155bo$313b2o28b2o120b3o16b2o$275b2o40b2o24bobo138b2o$
275b2o40b2o26bo132bo$336b2o7b2o128b4o$336b2o136b4o$311b2o161bo2bo$296b
2o13b2o13bob2o144b4o$296bobo25b3ob2o145b4o6b2o$298bo24bo154bo6bobo$
298b2o24b3ob2o136b3o18bo$269bobo54b2o2bo134bo3bo17b2o$270b2o57bobo$
270bo54bob2obobo114bo16bo5bo$325b2obo2bo4b3o107bo17b2o3b2o$328bo7bo
109b3o26b2o$317b2o9b2o7bo135bo3bo$317b2o7b2o2bobo9bo124bo4bo5bo8b2o$
325bo2bo2b2o7bo2bo122bobo2b2obo3bo8b2o$326b2o11bo4bo121bobo3bo5bo$338b
o5bo122bo5bo3bo$341b2ob2o129b2o$339bob2o$339bo2b2o$340b3o7b2o$290bo50b
o8b2o$291b2o$290b2o2$345b2o$345b2o$307b2o40b2o$293bo13b2o40b2o$291bobo
$292b2o$343b2o$328b2o13b2o215bobo$328bobo229b2o$330bo230bo$330b2o19$
318bo$319b2o$318b2o7bo$328b2o$327b2o9$329bobo$330b2o$330bo56bo$386bo$
386b3o3$348bo$349b2o$348b2o5$350bo$351b2o$350b2o5$353bo$351bobo$352b2o
2$500bobo$500b2o$501bo40$408bo$409b2o$408b2o5$410bo$411b2o$410b2o5$
413bo$411bobo$412b2o2$440bobo$440b2o$441bo20$438bo$439b2o$438b2o7bo$
448b2o$447b2o9$449bobo$450b2o$450bo8$463b2o$463b2o!

It uses p240 guns of a type that I think I first saw in Scot Ellison's mass posting of guns in another thread (EDIT: Yes, basically the P192 in this posting). I don't know who invented the Herschel edge shooting attachment but I do know that it is very old. Also here is an alternative implementation of the p240 push5 gun. It uses this edge shooting B->G by Kazyan.

Code: Select all

x = 141, y = 132, rule = B3/S23
68b3o$67bo$67bo3bo$67bo2bobo8bo$69bobo2bo4b3o$70bo3bo3bo$74bo3b2o$71b
3o$76bo$75bobo$76b2o2b2o$80b2o2$97bo$74bobo19b3o$74b2o19bob3o$75bo18bo
3bo$93bo3bo$92b3obo$93b3o$94bo$90bo$89bobo$57bo31b2o$55b3o35b2o$54bo
38bobo$53bobo32b2o5bo$53bobo32b2o5b2o$54bo$126bo2$124b3obo$114bo8bob2o
$38b2o74b3o6b2obo$38b2o77bo3bob3o$116b2o$123bo$119bo$58b2o58bobo$58bob
o53b2o2b2o$60bo53b2o$51b2o7b2o$51b2o64bo$117b2o$41bob2o71bobo$39b3ob2o
$38bo$5b2o32b3ob2o85b2o5b2o$5b2o34b2o2bo84b2o5bo$44bobo88bobo$40bob2ob
obo87b2o$40b2obo2bo84b2o$43bo87bobo$32b2o9b2o87bo$32b2o7b2o2bobo$40bo
2bo2b2o87b2o$41b2o92b2obo$2b2obob2o130bo$16b3o117bo$2bo5bo7bobo118bob
2o$16b3o120b2o$3b2ob2o8b3o46b2o$5bo10b3o46b2o12b2o$16b3o23bo29b2o5b2o$
16bobo23b3o10bo16b2o$16b3o23bobo10bo$44bo15b2o$60b2o12b2o24bo$8bo13b2o
40b2o8b2o24b3o$2b3o4b2o4bobo4b2o40b2o2b2o33bo$bo3bo2b2o5bo2bo49b2o32b
2o$17bo99b2o$o5bo9bo41b2o57bo$2o3b2o36b2o13b2o24b3ob3o23b2obo$43bobo
37bo2bob4o21bo2bo$45bo44bobo21b2o$3bo41b2o36bo15b2o$2bobo83b3o8b2o$2bo
bo79b2o2b2o$2bo$2bo$2bo2bo80b2o3bo$3b2o60bo20bo3bobo$8b2o55b3o19bo3bob
o$6bo3bo57bo19bo3bobob2o$5bo5bo55b2o17bob4o2bob2o$4bo2bo3bo73bobo3bobo
$11bo73bobo2bo2b2ob2o$2bo3bo3bo75bo3b2o2bobo$bob2o3b2o84bobo10b2o$bo
93bo11b2o$2o$62b2o$63bo$18b2o3b2o38bobo$9bobo8b3o41b2o$9bo2bo6bo3bo$2o
10b2o6bobo$2o8bo3b2o5bo56b2o$5b2o5b2o64bobo$4bo4bo2bo67bo$9bobo68b2o2$
64b2o$64b2o6$82bo$80b3o$79bo$80bo$79b2o3b2o$81b2o2bo$79b2o2b2o$80bobo$
79bo2bo$80b2o5$73bo$74bo$72b3o2$83bo$77bo3bobo$75bobo4b2o$76b2o!

Maybe it is useful. I'm not sure.

[Scorbie]

Congrats on building it so fast! The new one is especially neat. I think the mechanism is similar to that of David Bell's sawtooth 260?