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Interesting simple fuses

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

Interesting simple fuses

Postby Sphenocorona » February 9th, 2014, 9:21 pm

Here is a place to put fuses that have simple objects as the burned material and might be able to be made re-burnable or otherwise useful. For example, here's a (40,7)c/244 fuse that I found that reproduces a new fuse to the side, but there are a few still lives left over that prevent a re-burn:
x = 138, y = 29, rule = B3/S23
137bo$137bo$137bo5$97bo$97bo$97bo5$57bo$57bo$57bo5$17bo$17bo$17bo$o$2o
$b2o$bo$o!


Other than the known 17c/45 (already turned into the Caterpillar), (23,5)c/79, (13,1)c/31, and currently being investigated 31c/240 fuses (and the oblique variant), can anything else be found?
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Re: Interesting simple fuses

Postby Sphenocorona » February 9th, 2014, 9:37 pm

Ok, this is extremely close, with the re-emerged fuse having every other hive, with no debris at all. It's an (18,1)c/48 fuse:
x = 138, y = 16, rule = B3/S23
136bo$118bo16bobo$100bo16bobo15bobo$82bo16bobo15bobo16bo$64bo16bobo15b
obo16bo$46bo16bobo15bobo16bo$28bo16bobo15bobo16bo$10bo16bobo15bobo16bo
$9bobo15bobo16bo$9bobo16bo$10bo$o$2o$b2o$bo$o!


Unfortunately it produces no gliders either, so it probably has no use.
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Re: Interesting simple fuses

Postby towerator » February 10th, 2014, 3:49 am

I called this fuse "carrier" becuase it is followed by 3 blocks being continuously destroyed (maybe we could prevent that with gliders?). Oddly, this clean fuse sin't the "stable" fuse, and any perturbations will cause it to become another similar fuse, that I coined for this reason "ice-nine".
x = 106, y = 102, rule = B3/S23
16b2o$16b2o3$2o$2o7$28b2o$28b2o3$12b2o$12b2o7$40b2o$40b2o3$24b2o$24b2o
7$52b2o$52b2o3$36b2o$36b2o7$64b2o$64b2o3$48b2o$48b2o7$76b2o$76b2o3$60b
2o$60b2o7$88b2o$88b2o3$72b2o$72b2o7$100b2o$100b2o3$84b2o$84b2o7$103b3o
$103bo$103bobo$104b2o$96b2o$96b2o!

Hmm... a glider delay/turn reaction
x = 108, y = 102, rule = B3/S23
16b2o$16b2o3$2o$2o7$28b2o$28b2o3$12b2o$12b2o7$40b2o$40b2o3$24b2o$24b2o
7$52b2o$52b2o3$36b2o$36b2o7$64b2o$64b2o3$48b2o$48b2o7$76b2o$76b2o3$60b
2o$60b2o7$88b2o$88b2o3$72b2o$72b2o6$93b2o$92bo2bo9bobo$92b2obo9b2o$93b
o12bo$92bo$84b2o14bo$84b2o11bo2b2o$95bo2bob2o$94bo3b2o$95b2o3$97b2o$
97b2o$101b2o$101b2o2$98b2o$98b2o!

And now, a fanout...
x = 107, y = 102, rule = B3/S23
16b2o$16b2o3$2o$2o7$28b2o$28b2o3$12b2o$12b2o7$40b2o$40b2o3$24b2o$24b2o
7$52b2o$52b2o3$36b2o$36b2o7$64b2o$64b2o3$48b2o$48b2o7$76b2o$76b2o3$60b
2o$60b2o7$88b2o$88b2o3$72b2o$72b2o7$95bobo$94b2o2b2o$98b2o$93b3o$84b2o
8bo$84b2o19bo$104bo$104b3o4$97b2o$97b2o$101b2o$101b2o2$98b2o$98b2o!
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Re: Interesting simple fuses

Postby codeholic » February 10th, 2014, 6:08 pm

Sphenocorona wrote:Unfortunately it produces no gliders either, so it probably has no use.

No gliders is not a problem, if a reaction has usable sparks. 17c/45 reaction emits no gliders either. The fact that it doesn't restore all hives is the greater impediment.

By the way, is anyone interested in writing a script for finding candidate core reactions for new caterpillar-like spaceships? Probably "Stable and Glider" by Gabriel Nivasch can be adapted for this purpose.
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Re: Interesting simple fuses

Postby Sphenocorona » February 10th, 2014, 6:50 pm

That is neat, but unfortunately it doesn't produce anything similar to the original fuse in its debris...

I think that any program made to test for possible re-burnable fuses needs to look for wicks using blinkers too, as well as common still lives.

If anybody discovers a re-burnable fuse using ponds for a wick, that would be almost as good as blocks and blinkers as ponds are the only still lives other than blocks that can be synthesized without other debris with two anti-parallel gliders or two perpendicular gliders.
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Re: Interesting simple fuses

Postby Scorbie » February 16th, 2014, 3:02 am

Sphenocorona wrote:If anybody discovers a re-burnable fuse using ponds for a wick, that would be almost as good as blocks and blinkers as ponds are the only still lives other than blocks that can be synthesized without other debris with two anti-parallel gliders or two perpendicular gliders.


Maybe something like this?

x = 8, y = 89, rule = B3/S23
5b2o$4bo2bo$4bo2bo$5b2o6$5b2o$4bo2bo$4bo2bo$5b2o6$5b2o$4bo2bo$4bo2bo$5b2o6$5b2o$4bo2bo$4bo2bo$5b2o6$5b2o$4bo2bo$4bo2bo$5b2o6$5b2o$4bo2bo$4bo2bo$5b2o6$5b2o$4bo2bo$4bo2bo$5b2o6$5b2o$4bo2bo$4bo2bo$5b2o6$5b2o$4bo2bo$4bo2bo$5b2o6$5b2o$4bo2bo$4bo2bo$5b2o2$3o$obo$3o!

Best wishes to you, Scorbie
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Re: Interesting simple fuses

Postby dvgrn » February 16th, 2014, 10:58 am

Scorbie wrote:
Sphenocorona wrote:If anybody discovers a re-burnable fuse using ponds for a wick, that would be almost as good as blocks and blinkers as ponds are the only still lives other than blocks that can be synthesized without other debris with two anti-parallel gliders or two perpendicular gliders.

Maybe something like this? {messy pond-burning reaction}

Not quite. The key word that's getting missed is "re-burnable": you have to get a pond back out again at the end of the reaction, and preferably not much else except maybe a glider.

Unfortunately ponds are quite rare in random ash. Blocks and blinkers are 28 times more likely to show up than ponds. That means you'd probably have to search through about 28 times more candidates to find a reburnable pond fuse, than to find a reburnable block or blinker fuse.

The fuse for the 31c/240 spaceship turned up in just a few minutes of manual searching using the Seeds of Destruction Game (this is the link to the unofficial latest alpha again -- I'm still working on getting the copy bug fixed.) It seems likely that a manual SODGame search using a pond as a seed would take, at best, hours instead of minutes to find anything useful -- but don't let me stop anyone from trying! Still, it would be nice to have a more automated way to hunt for such things.
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Re: Interesting simple fuses

Postby Sphenocorona » February 17th, 2014, 9:25 pm

Here's a 5c/16 fuse with period of 224:
x = 40, y = 227, rule = B3/S23
16b2o$16b2o34$2o$2o34$16b2o$16b2o34$2o$2o34$16b2o$16b2o34$2o$2o18$21bo
$23b3o$23bo$23b3ob3o$25bobo$23b3ob3o2$23b7o2$24bo2b3o$23b2o2bo$24bo2b
3o$24bo2bobo$23b3ob3o2$23bo$16b2o$16b2o7bo6bo3bo2$23b3ob3ob3obobo$23bo
bo3bo3bobobo$23b3ob3ob3ob3o$21bobo3bo3bo5bo$23bo3b3ob3o3bobo$21bo$27bo
4bo2$34bo$33b2o$4b3o$4bobo$4bo2bo27b2o$6b2o27b2o!


I'm not sure if it can be made re-burnable, but it's still interesting.
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Re: Interesting simple fuses

Postby Sphenocorona » September 6th, 2014, 2:59 pm

Sorry for reviving a dead thread, but I have two more interesting finds:

The first one is a fuse that works with both blinkers and blocks - interestingly, the ash left behind is different for the two versions. It's a 16c/73 diagonal, glide-symmetric fuse:
x = 266, y = 81, rule = B3/S23
64b3o103b3o88b3o$66bo105bo90bo$65b3o103b3o88b3o8$32bo$32bo104b2o89b2o$
32bo104b2o89b2o2$68bo196bo$68bo104b2o90bo$68bo104b2o90bo26$o$o104b2o
89b2o$o104b2o89b2o2$36bo196bo$36bo104b2o90bo$36bo104b2o90bo12$256bo2b
3o$255b2o2bo$256bo2b3ob3o$256bo2bobobo$255b3ob3ob3o2$255b11o2$257b3ob
3o$259bo3bo$258b2ob3o$259bo3bo$259bob3o4$257bobobob3o$253b3obobobobo$
4bo196bo51bobobob3ob3o$4bo104b2o90bo51b3obo3bobobo$4bo104b2o90bo51bo3b
o3bob3o!
The block version looks like it leaves the blinker version behind (with some debris) but if you check you will find it does not. Glide-reflective, re-burnable fuses are probably extremely rare compared to other re-burnable fuses.

Another one is a (39,14)c/205 oblique fuse supported by gliders, in a similar way to the (13,1)c/31 and (23,5)c/79 fuses - and it also emits forward & sideways gliders (but leaves some debris):
x = 152, y = 116, rule = B3/S23
151bo$150b2o$149b2o$150bo$151bo44$91b2o$90bobo$92bo49$127bo16bo$126bo
18bo$126bob3ob3o4bobobobo$126bo3bobobo4bobobobo2b2o$126bob3ob3o4bob3ob
obo2bo$126bo3bo3bo4bo3bobobo$126bob3o3bob2obo3bobobo2bo$126bo10bo7bo2b
2o$127bo8bo7bo2$125b27o2$133b3ob3ob3o$135bobobobo$bo131b3obobob3o$b2o
130bo3bobo3bo$obo130b3ob3ob3o!
Unfortunately, the backwards gliders it produces hit the debris left behind, so unless there is a way to prevent that for each climber or burn the debris at (39,14)c/205, it's likely useless.

I found these with SeedsOfDestruction.

EDIT: Okay, here's one that is much more promising, a period 128 (8,1)c/32 fuse of a B heptamino and a glider. (I really hope I'm counting these correctly...)
x = 193, y = 88, rule = LifeHistory
.C$2.C$3C26$65.C$66.C$64.3C26$129.C$130.C$128.3C25$192.C$191.2C$190.
2C$191.C$192.C!
There's typical debris but it's possible that one could rig up a method of destroying it.
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Re: Interesting simple fuses

Postby Sphenocorona » September 6th, 2014, 8:00 pm

Okay, now THIS is a really promising one. It's reminiscent of the fuse in the 31c/240 thread, but it behaves in a significantly different manner. The Herschel itself moves at (34,7)c/156, climbing either blocks or gliders and leaving two blocks and a hive in its trail - plus two gliders:
x = 303, y = 60, rule = B3/S23
302bo$301b2o$300b2o$301b2o6$238b2o$238b2o6$204b2o$204b2o6$170b2o$170b
2o6$136b2o$136b2o104b2o$241bobo$243bo4$102b2o$102b2o6$68b2o$68b2o6$34b
2o$34b2o6$2o$2o!
The extra beehive and block can be cleaned up with just one glider coming from the bottom even once it's stabilized (only one lane can do this), but from above is a rather more difficult situation. It should be possible with multiple mutually stabilizing lanes, but I've been trying to get it with just 3 for hours and have had no luck. It is still possible, however, that I may have missed something.
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Re: Interesting simple fuses

Postby dvgrn » September 7th, 2014, 6:55 am

Sphenocorona wrote:Okay, now THIS is a really promising one. It's reminiscent of the fuse in the 31c/240 thread, but it behaves in a significantly different manner. The Herschel itself moves at (34,7)c/156, climbing either blocks or gliders and leaving two blocks and a hive in its trail - plus two gliders...

I just looked independently at getting a clean rephaser reaction on just three trails -- accidentally, because I was trying to clean up one that I posted in the Blockic Splitters thread in April last year, and didn't realize it was the same one at first! I didn't see a way to line up the two available internal gliders to shoot down both the beehive and the block from the difficult side. But I also may have missed something.

Anyway, with four trails there's definitely hope:

x = 1075, y = 2584, rule = B3/S23
2o$2o33$7b2o$7b2o33$14b2o$14b2o33$21b2o$21b2o33$28b2o$28b2o23$162b2o$
162b2o9$35b2o$35b2o23$169b2o$169b2o9$42b2o$42b2o23$176b2o$176b2o9$49b
2o$49b2o23$183b2o$183b2o9$56b2o$56b2o23$190b2o$190b2o9$63b2o$63b2o6$
317b2o$317b2o16$197b2o$197b2o9$70b2o$70b2o6$324b2o$324b2o16$204b2o$
204b2o9$77b2o$77b2o6$331b2o$331b2o16$211b2o$211b2o9$84b2o$84b2o6$338b
2o$338b2o16$218b2o$218b2o9$91b2o$91b2o6$345b2o$345b2o16$225b2o$225b2o
7$453b2o$453b2o$98b2o$98b2o6$352b2o$352b2o16$232b2o$232b2o7$460b2o$
460b2o$105b2o$105b2o6$359b2o$359b2o16$239b2o$239b2o7$467b2o$467b2o$
112b2o$112b2o6$366b2o$366b2o16$246b2o$246b2o7$474b2o$474b2o$119b2o$
119b2o6$373b2o$373b2o16$253b2o$253b2o7$481b2o$481b2o$126b2o$126b2o6$
380b2o$380b2o16$260b2o$260b2o7$488b2o$488b2o$133b2o$133b2o6$387b2o$
387b2o16$267b2o$267b2o7$495b2o$495b2o$140b2o$140b2o6$394b2o$394b2o16$
274b2o$274b2o7$502b2o$502b2o$147b2o$147b2o6$401b2o$401b2o16$281b2o$
281b2o7$509b2o$509b2o$154b2o$154b2o6$408b2o$408b2o16$288b2o$288b2o7$
516b2o$516b2o$161b2o$161b2o6$415b2o$415b2o16$295b2o$295b2o7$523b2o$
523b2o$168b2o$168b2o6$422b2o$422b2o16$302b2o$302b2o7$530b2o$530b2o$
175b2o$175b2o6$429b2o$429b2o16$309b2o$309b2o7$537b2o$537b2o$182b2o$
182b2o6$436b2o$436b2o16$316b2o$316b2o7$544b2o$544b2o$189b2o$189b2o6$
443b2o$443b2o16$323b2o$323b2o7$551b2o$551b2o$196b2o$196b2o6$450b2o$
450b2o16$330b2o$330b2o7$558b2o$558b2o$203b2o$203b2o6$457b2o$457b2o16$
337b2o$337b2o7$565b2o$565b2o$210b2o$210b2o6$464b2o$464b2o16$344b2o$
344b2o7$572b2o$572b2o$217b2o$217b2o6$471b2o$471b2o16$351b2o$351b2o7$
579b2o$579b2o$224b2o$224b2o6$478b2o$478b2o16$358b2o$358b2o7$586b2o$
586b2o$231b2o$231b2o6$485b2o$485b2o16$365b2o$365b2o7$593b2o$593b2o$
238b2o$238b2o6$492b2o$492b2o16$372b2o$372b2o7$600b2o$600b2o$245b2o$
245b2o6$499b2o$499b2o16$379b2o$379b2o7$607b2o$607b2o$252b2o$252b2o6$
506b2o$506b2o16$386b2o$386b2o7$614b2o$614b2o$259b2o$259b2o6$513b2o$
513b2o16$393b2o$393b2o7$621b2o$621b2o$266b2o$266b2o6$520b2o$520b2o16$
400b2o$400b2o7$628b2o$628b2o$273b2o$273b2o6$527b2o$527b2o16$407b2o$
407b2o7$635b2o$635b2o$280b2o$280b2o6$534b2o$534b2o16$414b2o$414b2o7$
642b2o$642b2o$287b2o$287b2o6$541b2o$541b2o8$286bobo$285bo4bo$285bo4bo$
285b2o2$285b2o2b2o$285b2o2b2o$285b3obo$286bo134b2o$287bo133b2o7$288b2o
359b2o$288b2o359b2o7$286bo$285bobo260b2o$285bobo260b2o$286bo10$287b2o$
287b2o4$428b2o$428b2o7$251bo43b2o359b2o$251bobo41b2o359b2o$251b2o6$
293bo$292bobo260b2o$292bobo260b2o$293bo10$294b2o$294b2o3$329bobo$330b
2o103b2o$330bo104b2o7$302b2o359b2o$302b2o359b2o7$300bo$299bobo260b2o$
299bobo260b2o$300bo10$301b2o$301b2o4$442b2o$442b2o7$309b2o359b2o$309b
2o359b2o4$219bo$219bobo$219b2o$307bo$306bobo260b2o$306bobo260b2o$307bo
10$308b2o$308b2o4$449b2o$449b2o3$375bobo$376b2o$376bo2$316b2o359b2o$
316b2o359b2o7$314bo$313bobo260b2o$313bobo260b2o$314bo10$315b2o$315b2o
4$456b2o$456b2o7$323b2o359b2o$323b2o359b2o7$321bo133bobo$320bobo131bo
4bo123b2o$187bo132bobo131bo4bo123b2o$187bobo131bo132b2o$187b2o$454b2o
2b2o$454b2o2b2o$454b3obo$455bo$456bo4$322b2o$322b2o2$457b2o$457b2o7$
455bo$454bobo$330b2o122bobo234b2o$330b2o89bobo31bo235b2o$422b2o$422bo
5$328bo$327bobo260b2o$327bobo260b2o$328bo127b2o$456b2o9$329b2o$329b2o
2$420bo43b2o$420bobo41b2o$420b2o6$462bo$461bobo$337b2o122bobo234b2o$
337b2o123bo235b2o7$335bo$334bobo260b2o$334bobo260b2o$335bo127b2o$463b
2o3$155bo342bobo$155bobo341b2o$155b2o342bo4$336b2o$336b2o2$471b2o$471b
2o7$469bo$468bobo$344b2o122bobo234b2o$344b2o123bo235b2o5$467bobo$468b
2o$342bo125bo$341bobo260b2o$341bobo260b2o$342bo127b2o$470b2o9$343b2o$
343b2o2$478b2o$478b2o4$388bo$388bobo$388b2o3$351b2o359b2o$351b2o359b2o
7$349bo$348bobo260b2o$348bobo260b2o$349bo9$123bo420bobo$123bobo224b2o
193b2o$123b2o225b2o193bo2$485b2o$485b2o9$358b2o359b2o$358b2o359b2o7$
356bo$355bobo260b2o$355bobo260b2o$356bo10$357b2o$357b2o2$492b2o$492b2o
123bobo$616bo4bo$616bo4bo$616b2o2$616b2o2b2o$616b2o2b2o$616b3obo$617bo
$356bo8b2o251bo107b2o$356bobo6b2o359b2o$356b2o5$619b2o$363bo255b2o$
362bobo$362bobo$363bo4$617bo$616bobo$616bobo$617bo3$364b2o$364b2o2$
499b2o$91bo407b2o89bobo$91bobo497b2o$91b2o498bo$618b2o$618b2o5$372b2o
359b2o$372b2o359b2o6$582bo43b2o$370bo211bobo41b2o$369bobo210b2o$369bob
o$370bo4$624bo$623bobo$623bobo$624bo3$371b2o$371b2o2$506b2o$506b2o3$
625b2o$625b2o3$660bobo$661b2o$379b2o280bo78b2o$379b2o359b2o4$324bo$
324bobo$324b2o307b2o$377bo255b2o$376bobo$376bobo$377bo4$631bo$630bobo$
630bobo$631bo$631b2o$631b2o$378b2o251b2o$378b2o251bo2$513b2o$513b2o9$
386b2o359b2o$386b2o359b2o6$640b2o$384bo255b2o$383bobo$383bobo$384bo$
550bo$550bobo$550b2o7$385b2o$385b2o2$520b2o$520b2o9$393b2o359b2o$393b
2o359b2o2$706bobo$707b2o$707bo2$647b2o$391bo255b2o$390bobo$292bo97bobo
$292bobo96bo$292b2o4$753bobo$752bo4bo$752bo4bo$752b2o2$392b2o358b2o2b
2o$392b2o358b2o2b2o$752b3obo$527b2o224bo$527b2o225bo7$755b2o$755b2o$
400b2o$400b2o5$753bo$654b2o96bobo$398bo255b2o96bobo$397bobo353bo$397bo
bo$398bo6$518bo$518bobo$518b2o234b2o$754b2o$399b2o$399b2o2$534b2o$534b
2o7$718bo43b2o$718bobo41b2o$407b2o309b2o$407b2o5$760bo$661b2o96bobo$
405bo255b2o89bobo4bobo$404bobo346b2o5bo$404bobo346bo$405bo4$260bo$260b
obo$260b2o2$761b2o$761b2o$406b2o$406b2o$796bobo$541b2o254b2o$541b2o
254bo7$769b2o$769b2o$414b2o$414b2o6$668b2o$412bo255b2o$411bobo$411bobo
$412bo10$413b2o$413b2o71bo$486bobo$486b2o60b2o$548b2o7$776b2o$776b2o$
421b2o$421b2o2$686bo$686bobo$686b2o2$675b2o$419bo255b2o$418bobo$418bob
o$419bo9$228bo$228bobo189b2o$228b2o190b2o2$555b2o$555b2o3$842bobo$843b
2o$843bo2$783b2o$783b2o$428b2o$428b2o6$682b2o$426bo255b2o$425bobo$425b
obo$426bo10$427b2o$427b2o2$562b2o$562b2o2$454bo$454bobo$454b2o3$790b2o
$790b2o$435b2o$435b2o6$689b2o$433bo220bo34b2o$432bobo219bobo$432bobo
219b2o$433bo10$434b2o$434b2o2$569b2o$196bo372b2o$196bobo$196b2o6$888bo
bo$442b2o445b2o$442b2o445bo6$696b2o$696b2o13$441b2o$441b2o2$576b2o$
576b2o9$449b2o$449b2o6$703b2o$703b2o5$622bo$622bobo$622b2o6$448b2o$
448b2o2$583b2o$583b2o5$164bo$164bobo$164b2o2$456b2o$456b2o3$934bobo$
935b2o$935bo15$455b2o$455b2o2$590b2o$590b2o9$463b2o$463b2o17$590bo$
590bobo$590b2o$462b2o$462b2o2$597b2o$597b2o9$470b2o$470b2o8$980bobo$
981b2o$981bo10$469b2o$469b2o2$604b2o$604b2o9$477b2o$477b2o20$476b2o$
476b2o$558bo$558bobo50b2o$558b2o51b2o9$484b2o$484b2o13$1026bobo$1027b
2o$1027bo5$483b2o$483b2o2$618b2o$618b2o9$491b2o$491b2o20$490b2o$490b2o
6$526bo$526bobo$526b2o4$498b2o$498b2o18$1072bobo$1073b2o$497b2o574bo$
497b2o12$505b2o$505b2o33$512b2o$512b2o33$519b2o$519b2o33$526b2o$526b2o!

There are a lot of ways to change the relative timings of the Herschels, so maybe it's possible to suppress one of the two backrake streams on the left somehow. There's at least one way to get a forward stream by kicking the right-hand stream forward:

x = 1769, y = 2889, rule = B3/S23
188$302b2o$302b2o33$309b2o$309b2o33$316b2o$316b2o33$323b2o$323b2o33$
330b2o$330b2o23$464b2o$464b2o9$337b2o$337b2o23$471b2o$471b2o9$344b2o$
344b2o23$478b2o$478b2o9$351b2o$351b2o23$485b2o$485b2o9$358b2o$358b2o
23$492b2o$492b2o9$365b2o$365b2o6$619b2o$619b2o16$499b2o$499b2o9$372b2o
$372b2o6$626b2o$626b2o16$506b2o$506b2o9$379b2o$379b2o6$633b2o$633b2o
16$513b2o$513b2o9$386b2o$386b2o6$640b2o$640b2o16$520b2o$520b2o9$393b2o
$393b2o6$647b2o$647b2o16$527b2o$527b2o7$755b2o$755b2o$400b2o$400b2o6$
654b2o$654b2o16$534b2o$534b2o7$762b2o$762b2o$407b2o$407b2o6$661b2o$
661b2o16$541b2o$541b2o7$769b2o$769b2o$414b2o$414b2o6$668b2o$668b2o16$
548b2o$548b2o7$776b2o$776b2o$421b2o$421b2o6$675b2o$675b2o16$555b2o$
555b2o7$783b2o$783b2o$428b2o$428b2o6$682b2o$682b2o16$562b2o$562b2o7$
790b2o$790b2o$435b2o$435b2o6$689b2o$689b2o16$569b2o$569b2o7$797b2o$
797b2o$442b2o$442b2o6$696b2o$696b2o16$576b2o$576b2o7$804b2o$804b2o$
449b2o$449b2o6$703b2o$703b2o16$583b2o$583b2o7$811b2o$811b2o$456b2o$
456b2o6$710b2o$710b2o16$590b2o$590b2o7$818b2o$818b2o$463b2o$463b2o6$
717b2o$717b2o16$597b2o$597b2o7$825b2o$825b2o$470b2o$470b2o6$724b2o$
724b2o16$604b2o$604b2o7$832b2o$832b2o$477b2o$477b2o6$731b2o$731b2o16$
611b2o$611b2o7$839b2o$839b2o$484b2o$484b2o6$738b2o$738b2o16$618b2o$
618b2o7$846b2o$846b2o$491b2o$491b2o6$745b2o$745b2o16$625b2o$625b2o7$
853b2o$853b2o$498b2o$498b2o6$752b2o$752b2o16$632b2o$632b2o7$860b2o$
860b2o$505b2o$505b2o6$759b2o$759b2o16$639b2o$639b2o7$867b2o$867b2o$
512b2o$512b2o6$766b2o$766b2o16$646b2o$646b2o7$874b2o$874b2o$519b2o$
519b2o6$773b2o$773b2o16$653b2o$653b2o7$881b2o$881b2o$526b2o$526b2o6$
780b2o$780b2o16$660b2o$660b2o7$888b2o$888b2o$533b2o$533b2o6$787b2o$
787b2o16$667b2o$667b2o7$895b2o$895b2o$540b2o$540b2o6$794b2o$794b2o16$
674b2o$674b2o7$902b2o$902b2o$547b2o$547b2o6$801b2o$801b2o12$547b3o2$
547bobo$546bo$546bo3bo130b2o$681b2o$546b2o2bo6$548b2o359b2o$548b2o359b
2o7$546bo$545bobo260b2o$545bobo260b2o$546bo10$547b2o$547b2o4$688b2o$
688b2o3$515bo$514bo$514b3o2$555b2o359b2o$555b2o359b2o7$553bo$552bobo
260b2o$552bobo260b2o$553bo10$554b2o30bo$554b2o31b2o$586b2o3$695b2o$
695b2o7$562b2o359b2o$562b2o359b2o7$560bo$559bobo260b2o$559bobo260b2o$
560bo10$561b2o$561b2o4$702b2o$702b2o7$569b2o359b2o$483bo85b2o359b2o$
482bo$482b3o5$567bo$566bobo260b2o$566bobo260b2o$567bo10$568b2o$568b2o
4$632bo76b2o$633b2o74b2o$632b2o6$576b2o359b2o$576b2o359b2o7$574bo$573b
obo260b2o$573bobo260b2o$574bo10$575b2o$575b2o4$716b2o$716b2o7$583b2o
359b2o$583b2o359b2o5$451bo$450bo$450b3o128bo$580bobo260b2o$580bobo260b
2o$581bo$716b3o2$716bobo$715bo$715bo3bo2$715b2o2bo3$582b2o$582b2o2$
717b2o$717b2o6$678bo$679b2o34bo$678b2o34bobo$590b2o122bobo234b2o$590b
2o123bo235b2o7$588bo$587bobo260b2o$587bobo260b2o$588bo127b2o$716b2o8$
684bo$589b2o92bo$589b2o92b3o2$724b2o$724b2o7$722bo$721bobo$597b2o122bo
bo234b2o$597b2o123bo235b2o7$595bo$594bobo260b2o$594bobo260b2o$595bo
127b2o30bo$723b2o31b2o$755b2o8$596b2o$596b2o2$731b2o$731b2o7$729bo$
728bobo$604b2o122bobo234b2o$604b2o123bo235b2o$724bo$725b2o$724b2o4$
602bo$601bobo260b2o$601bobo260b2o$602bo127b2o$730b2o9$603b2o$603b2o2$
738b2o$652bo85b2o$651bo$651b3o7$611b2o359b2o$611b2o359b2o2$1756bo$
1755bo$1755b3o3$609bo$608bobo260b2o$608bobo260b2o$609bo5$801bo$802b2o$
801b2o3$610b2o$610b2o2$745b2o$745b2o9$618b2o359b2o$618b2o359b2o7$616bo
$615bobo260b2o$615bobo260b2o$616bo10$617b2o$617b2o2$752b2o$752b2o4$
878b3o$620bo$619bo258bobo$619b3o255bo$877bo3bo$625b2o359b2o$625b2o250b
2o2bo104b2o6$879b2o$623bo255b2o843bo$622bobo1098bo$622bobo1098b3o$623b
o4$877bo$876bobo$876bobo$877bo3$624b2o221bo$624b2o222b2o$847b2o$759b2o
$759b2o3$878b2o$878b2o5$632b2o359b2o$632b2o359b2o2$846bo$845bo$845b3o
2$886b2o$630bo255b2o$629bobo$629bobo$630bo4$884bo$883bobo$883bobo$884b
o3$631b2o$631b2o2$766b2o$766b2o3$885b2o30bo$885b2o31b2o$917b2o4$639b2o
359b2o$588bo50b2o359b2o$587bo$587b3o4$893b2o$637bo255b2o$636bobo$636bo
bo$637bo2$1692bo$1691bo$891bo799b3o$890bobo$890bobo$891bo3$638b2o$638b
2o2$773b2o115bo$773b2o114bo2bo$892b2o$890bo3bo$890bo2bo$891b2o5$646b2o
359b2o$646b2o359b2o6$900b2o$644bo169bo85b2o$643bobo167bo$643bobo167b3o
$644bo10$645b2o$645b2o2$780b2o$780b2o8$963bo$653b2o309b2o48b2o$653b2o
308b2o49b2o5$556bo$555bo351b2o$555b3o93bo255b2o$650bobo$650bobo$651bo
7$1660bo$1659bo$1014b3o642b3o$652b2o$652b2o360bobo$1013bo$787b2o224bo
3bo$787b2o$1013b2o2bo6$1015b2o$1015b2o$660b2o$660b2o5$1013bo$914b2o96b
obo$658bo255b2o96bobo$657bobo353bo$657bobo$658bo2$782bo$781bo$781b3o4$
1014b2o$1014b2o$659b2o$659b2o2$794b2o$794b2o3$982bo$981bo$981b3o2$
1022b2o$1022b2o$667b2o$667b2o3$1009bo$1010b2o$1009b2o9bo$921b2o96bobo$
665bo255b2o96bobo$664bobo353bo$664bobo$524bo140bo$523bo$523b3o6$1021b
2o30bo$1021b2o31b2o$666b2o385b2o$666b2o$1628bo$801b2o824bo$801b2o824b
3o7$1029b2o$1029b2o$674b2o$674b2o6$928b2o$672bo255b2o$671bobo$671bobo$
672bo7$750bo$749bo$749b3o$673b2o$673b2o2$808b2o$808b2o7$1036b2o$950bo
85b2o$681b2o266bo$681b2o266b3o6$935b2o$679bo255b2o$678bobo$678bobo$
679bo10$680b2o$680b2o2$815b2o282bo$815b2o283b2o$1099b2o2$1596bo$1595bo
$1595b3o2$1043b2o$1043b2o$688b2o$688b2o6$942b2o$686bo255b2o$685bobo$
685bobo$686bo10$687b2o$687b2o$718bo$717bo104b2o$717b3o102b2o7$1050b2o$
1050b2o$695b2o$695b2o3$918bo$917bo$917b3o$949b2o$693bo255b2o$692bobo$
692bobo$693bo10$694b2o$694b2o2$829b2o$829b2o4$1145bo$1146b2o$1145b2o$
1057b2o$1057b2o505bo$702b2o859bo$702b2o859b3o6$956b2o$956b2o13$701b2o$
701b2o2$836b2o$836b2o7$1064b2o$1064b2o$709b2o$709b2o6$963b2o$963b2o$
886bo$885bo$885b3o10$708b2o$708b2o2$843b2o$843b2o7$1071b2o$1071b2o$
716b2o473bo$716b2o474b2o$1191b2o2$1532bo$1531bo$1531b3o$970b2o$970b2o
13$715b2o$715b2o2$850b2o$850b2o7$1078b2o$1078b2o$723b2o$723b2o6$977b2o
$977b2o6$854bo$853bo$853b3o5$722b2o$722b2o2$857b2o$857b2o7$1085b2o$
1085b2o$730b2o$730b2o4$1237bo$1238b2o$984b2o251b2o$984b2o$1500bo$1499b
o$1499b3o10$729b2o$729b2o2$864b2o$864b2o7$1092b2o$1092b2o$737b2o$737b
2o6$991b2o$991b2o11$822bo$821bo$736b2o83b3o$736b2o2$871b2o$871b2o7$
1099b2o$1099b2o$744b2o$744b2o6$998b2o$998b2o2$1283bo$1284b2o$1283b2o2$
1468bo$1467bo$1467b3o5$743b2o$743b2o2$878b2o$878b2o7$1106b2o$1106b2o$
751b2o$751b2o6$1005b2o$1005b2o13$750b2o$750b2o2$790bo94b2o$789bo95b2o$
789b3o6$1113b2o$1113b2o$758b2o$758b2o6$1012b2o$1012b2o6$733b2o$732b2o
595bo$734bo595b2o$1329b2o2$765b2o669bo$764b2o669bo$757b2o7bo668b3o$
757b2o2$797b2o93b2o$796b2o94b2o$798bo3$829b2o$828b2o$830bo$1120b2o$
1120b2o$765b2o94b2o$765b2o93b2o$862bo3$893b2o$892b2o$894bo124b2o$1019b
2o2$925b2o$924b2o$926bo3$957b2o$956b2o$958bo3$989b2o$988b2o$990bo2$
899b2o$899b2o120b2o$1020b2o$1022bo3$1053b2o$1052b2o$1054bo72b2o$1127b
2o$772b2o$772b2o311b2o$1084b2o$1086bo3$1117b2o$1026b2o88b2o$1026b2o90b
o3$1149b2o$1148b2o$1150bo3$1181b2o$1180b2o$1182bo2$1375bo$1213b2o161b
2o$1212b2o161b2o$1214bo$906b2o496bo$906b2o495bo$1245b2o156b3o$1244b2o$
1246bo3$1277b2o$1134b2o140b2o$1134b2o142bo$779b2o$779b2o$1309b2o$1308b
2o$1310bo3$1033b2o306b2o$1033b2o305b2o$1342bo3$1373b2o$1372b2o$1374bo
10$913b2o$913b2o7$1141b2o$1141b2o$786b2o$786b2o6$1040b2o$1040b2o16$
920b2o$920b2o9$793b2o$793b2o33$800b2o$800b2o33$807b2o$807b2o33$814b2o$
814b2o33$821b2o$821b2o33$828b2o$828b2o!

It's nice that this reaction can climb gliders as well as blocks -- I didn't know that, so didn't try to do anything with it in my three-trail cleanup attempt.
dvgrn
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Re: Interesting simple fuses

Postby dvgrn » September 7th, 2014, 7:45 am

dvgrn wrote:There are a lot of ways to change the relative timings of the Herschels, so maybe it's possible to suppress one of the two backrake streams on the left somehow...

Eight trails seems a little excessive, but maybe it's at least worth looking at:

x = 2485, y = 4050, rule = B3/S23
3b2o$3b2o867b2o$872b2o22$137b2o$137b2o867b2o$1006b2o8$10b2o$10b2o867b
2o$879b2o5$264b2o$264b2o867b2o$1133b2o15$144b2o$144b2o867b2o$1013b2o6$
372b2o$372b2o867b2o$17b2o1222b2o$17b2o867b2o$886b2o5$271b2o$271b2o867b
2o$1140b2o15$151b2o$151b2o867b2o$1020b2o6$379b2o$379b2o867b2o$24b2o
1222b2o$24b2o867b2o$893b2o5$278b2o$278b2o867b2o$1147b2o15$158b2o$158b
2o867b2o$1027b2o6$386b2o$386b2o867b2o$31b2o1222b2o$31b2o867b2o$900b2o
5$285b2o$285b2o867b2o$1154b2o15$165b2o$165b2o867b2o$1034b2o6$393b2o$
393b2o867b2o$38b2o1222b2o$38b2o867b2o$907b2o5$292b2o$292b2o867b2o$
1161b2o15$172b2o$172b2o867b2o$1041b2o6$400b2o$400b2o867b2o$45b2o1222b
2o$45b2o867b2o$914b2o5$299b2o$299b2o867b2o$1168b2o15$179b2o$179b2o867b
2o$1048b2o6$407b2o$407b2o867b2o$52b2o1222b2o$52b2o867b2o$921b2o5$306b
2o$306b2o867b2o$1175b2o15$186b2o$186b2o867b2o$1055b2o6$414b2o$414b2o
867b2o$59b2o1222b2o$59b2o867b2o$928b2o5$313b2o$313b2o867b2o$1182b2o15$
193b2o$193b2o867b2o$1062b2o6$421b2o$421b2o867b2o$66b2o1222b2o$66b2o
867b2o$935b2o5$320b2o$320b2o867b2o$1189b2o15$200b2o$200b2o867b2o$1069b
2o6$428b2o$428b2o867b2o$73b2o1222b2o$73b2o867b2o$942b2o5$327b2o$327b2o
867b2o$1196b2o15$207b2o$207b2o867b2o$1076b2o6$435b2o$435b2o867b2o$80b
2o1222b2o$80b2o867b2o$949b2o5$334b2o$334b2o867b2o$1203b2o15$214b2o$
214b2o867b2o$1083b2o6$442b2o$442b2o867b2o$87b2o1222b2o$87b2o867b2o$
956b2o5$341b2o$341b2o867b2o$1210b2o15$221b2o$221b2o867b2o$1090b2o6$
449b2o$449b2o867b2o$94b2o1222b2o$94b2o867b2o$963b2o5$348b2o$348b2o867b
2o$1217b2o15$228b2o$228b2o867b2o$1097b2o6$456b2o$456b2o867b2o$101b2o
1222b2o$101b2o867b2o$970b2o5$355b2o$355b2o867b2o$1224b2o15$235b2o$235b
2o867b2o$1104b2o6$463b2o$463b2o867b2o$108b2o1222b2o$108b2o867b2o$977b
2o5$362b2o$362b2o867b2o$1231b2o15$242b2o$242b2o867b2o$1111b2o6$470b2o$
470b2o867b2o$115b2o1222b2o$115b2o867b2o$984b2o5$369b2o$369b2o867b2o$
1238b2o15$249b2o$249b2o867b2o$1118b2o6$477b2o$477b2o867b2o$122b2o1222b
2o$122b2o867b2o$991b2o5$376b2o$376b2o867b2o$1245b2o15$256b2o$256b2o
867b2o$1125b2o6$484b2o$484b2o867b2o$129b2o1222b2o$129b2o867b2o$998b2o
5$383b2o$383b2o867b2o$1252b2o15$263b2o$263b2o867b2o$1132b2o6$491b2o$
491b2o867b2o$136b2o1222b2o$136b2o867b2o$1005b2o5$390b2o$390b2o867b2o$
1259b2o15$270b2o$270b2o867b2o$1139b2o6$498b2o$498b2o867b2o$143b2o1222b
2o$143b2o867b2o$1012b2o5$397b2o$397b2o867b2o$1266b2o15$277b2o$277b2o
867b2o$1146b2o6$505b2o$505b2o867b2o$150b2o1222b2o$150b2o867b2o$1019b2o
5$404b2o$404b2o867b2o$1273b2o15$284b2o$284b2o867b2o$1153b2o6$512b2o$
512b2o867b2o$157b2o1222b2o$157b2o867b2o$1026b2o5$411b2o$411b2o867b2o$
1280b2o15$291b2o$291b2o867b2o$1160b2o6$519b2o$519b2o867b2o$164b2o1222b
2o$164b2o867b2o$1033b2o5$418b2o$418b2o867b2o$1287b2o15$298b2o$298b2o
867b2o$1167b2o6$526b2o$526b2o867b2o$171b2o1222b2o$171b2o867b2o$1040b2o
5$425b2o$425b2o867b2o$1294b2o15$305b2o$305b2o867b2o$1174b2o6$533b2o$
533b2o867b2o$178b2o1222b2o$178b2o867b2o$1047b2o5$432b2o$432b2o867b2o$
1301b2o15$312b2o$312b2o867b2o$1181b2o6$540b2o$540b2o867b2o$185b2o1222b
2o$185b2o867b2o$1054b2o5$439b2o$439b2o867b2o$1308b2o15$319b2o$319b2o
867b2o$1188b2o6$547b2o$547b2o867b2o$192b2o1222b2o$192b2o867b2o$1061b2o
5$446b2o$446b2o867b2o$1315b2o15$326b2o$326b2o867b2o$1195b2o6$554b2o$
554b2o867b2o$199b2o1222b2o$199b2o867b2o$1068b2o5$453b2o$453b2o867b2o$
1322b2o15$333b2o$333b2o867b2o$1202b2o6$561b2o$561b2o867b2o$206b2o1222b
2o$206b2o867b2o$1075b2o5$460b2o$460b2o867b2o$1329b2o15$340b2o$340b2o
867b2o$1209b2o6$568b2o$568b2o867b2o$213b2o1222b2o$213b2o867b2o$1082b2o
5$467b2o$467b2o867b2o$1336b2o15$347b2o$347b2o867b2o$1216b2o6$575b2o$
575b2o867b2o$220b2o1222b2o$220b2o867b2o$1089b2o5$474b2o$474b2o867b2o$
1343b2o15$354b2o$354b2o867b2o$1223b2o6$582b2o$582b2o867b2o$227b2o1222b
2o$227b2o867b2o$1096b2o5$481b2o$481b2o867b2o$1350b2o15$361b2o$361b2o
867b2o$1230b2o6$589b2o$589b2o867b2o$234b2o1222b2o$234b2o867b2o$1103b2o
5$488b2o$488b2o867b2o$1357b2o15$368b2o$368b2o867b2o$1237b2o6$596b2o$
596b2o867b2o$241b2o1222b2o$241b2o867b2o$1110b2o5$495b2o$495b2o867b2o$
1364b2o15$375b2o$375b2o867b2o$1244b2o6$603b2o$603b2o867b2o$248b2o1222b
2o$248b2o867b2o$1117b2o5$502b2o$502b2o867b2o$1371b2o15$382b2o$382b2o
867b2o$1251b2o6$610b2o$610b2o867b2o$255b2o1222b2o$255b2o867b2o$1124b2o
5$509b2o$509b2o867b2o$1378b2o15$389b2o$389b2o867b2o$1258b2o6$617b2o$
617b2o867b2o$262b2o1222b2o$262b2o867b2o$1131b2o5$516b2o$516b2o867b2o$
1385b2o15$396b2o$396b2o867b2o$1265b2o6$624b2o$624b2o867b2o$269b2o1222b
2o$269b2o867b2o$1138b2o5$523b2o$523b2o867b2o$1392b2o15$403b2o$403b2o
867b2o$1272b2o6$631b2o$631b2o867b2o$276b2o1222b2o$276b2o867b2o$1145b2o
5$530b2o$530b2o867b2o$1399b2o15$410b2o$410b2o867b2o$1279b2o6$638b2o$
638b2o867b2o$283b2o1222b2o$283b2o867b2o$1152b2o5$537b2o$537b2o867b2o$
1406b2o15$417b2o$417b2o867b2o$1286b2o6$645b2o$645b2o867b2o$290b2o1222b
2o$290b2o867b2o$1159b2o5$544b2o$544b2o867b2o$1413b2o15$424b2o$424b2o
867b2o$1293b2o6$652b2o$652b2o867b2o$297b2o1222b2o$297b2o867b2o$1166b2o
5$551b2o$551b2o867b2o$1420b2o15$431b2o$431b2o867b2o$1300b2o6$659b2o$
659b2o867b2o$304b2o1222b2o$304b2o867b2o$1173b2o5$558b2o$558b2o867b2o$
1427b2o15$438b2o$438b2o867b2o$1307b2o6$666b2o$666b2o867b2o$311b2o1222b
2o$311b2o867b2o$1180b2o5$565b2o$565b2o867b2o$1434b2o15$445b2o$445b2o
867b2o$1314b2o6$673b2o$673b2o867b2o$318b2o1222b2o$318b2o867b2o$1187b2o
5$572b2o$572b2o867b2o$1441b2o15$452b2o$452b2o867b2o$1321b2o6$680b2o$
680b2o867b2o$325b2o1222b2o$325b2o867b2o$1194b2o5$579b2o$579b2o867b2o$
1448b2o15$459b2o$459b2o867b2o$1328b2o6$687b2o$687b2o867b2o$332b2o1222b
2o$332b2o867b2o$1201b2o5$586b2o$586b2o867b2o$1455b2o15$466b2o$466b2o
867b2o$1335b2o6$694b2o$694b2o867b2o$339b2o1222b2o$339b2o867b2o$1208b2o
5$593b2o$593b2o867b2o$1462b2o15$473b2o$473b2o867b2o$1342b2o6$701b2o$
701b2o867b2o$346b2o1222b2o$346b2o867b2o$1215b2o5$600b2o$600b2o867b2o$
1469b2o15$480b2o$480b2o867b2o$1349b2o6$708b2o$708b2o867b2o$353b2o1222b
2o$353b2o867b2o$1222b2o5$607b2o$607b2o867b2o$1476b2o15$487b2o$487b2o
867b2o$1356b2o6$715b2o$715b2o867b2o$360b2o1222b2o$360b2o867b2o$1229b2o
5$614b2o$614b2o867b2o$1483b2o15$494b2o$494b2o867b2o$1363b2o6$722b2o$
722b2o867b2o$367b2o1222b2o$367b2o867b2o$1236b2o5$621b2o$621b2o867b2o$
1490b2o15$501b2o$501b2o867b2o$1370b2o6$729b2o$729b2o867b2o$374b2o1222b
2o$374b2o867b2o$1243b2o5$628b2o$628b2o867b2o$1497b2o15$508b2o$508b2o
867b2o$1377b2o6$736b2o$736b2o867b2o$381b2o1222b2o$381b2o867b2o$1250b2o
5$635b2o$635b2o867b2o$1504b2o15$515b2o$515b2o867b2o$1384b2o6$743b2o$
743b2o867b2o$388b2o1222b2o$388b2o867b2o$1257b2o5$642b2o$642b2o867b2o$
1511b2o15$522b2o$522b2o867b2o$1391b2o6$750b2o$750b2o867b2o$395b2o1222b
2o$395b2o867b2o$1264b2o5$649b2o$649b2o867b2o$1518b2o15$529b2o$529b2o
867b2o$1398b2o6$757b2o$757b2o867b2o$402b2o1222b2o$402b2o867b2o$1271b2o
5$656b2o$656b2o867b2o$1525b2o15$536b2o$536b2o867b2o$1405b2o6$764b2o$
764b2o867b2o$409b2o1222b2o$409b2o867b2o$1278b2o5$663b2o$663b2o867b2o$
1532b2o15$543b2o$543b2o867b2o$1412b2o6$771b2o$771b2o867b2o$416b2o1222b
2o$416b2o867b2o$1285b2o5$670b2o$670b2o867b2o$1539b2o15$550b2o$550b2o
867b2o$1419b2o6$778b2o$778b2o867b2o$423b2o1222b2o$423b2o867b2o$1292b2o
5$677b2o$677b2o867b2o$1546b2o15$557b2o$557b2o867b2o$1426b2o6$785b2o$
785b2o867b2o$430b2o1222b2o$430b2o867b2o$1299b2o5$684b2o$684b2o867b2o$
1553b2o8$427b3o$427bo$427b3o2$428bo$428b3o$430b3o$430b2o132b2o$564b2o
867b2o$1433b2o6$431b2o359b2o$431b2o359b2o867b2o$1661b2o$1306b2o$1306b
2o4$429bo$428bobo260b2o$428bobo260b2o867b2o$429bo1130b2o10$430b2o$430b
2o4$571b2o$571b2o867b2o$1440b2o6$394bo43b2o359b2o$393bo44b2o359b2o867b
2o$393b3o1272b2o$1313b2o$1313b2o4$436bo$435bobo260b2o$435bobo260b2o
867b2o$436bo1130b2o10$437b2o$437b2o3$473bo$474b2o102b2o$473b2o103b2o
867b2o$1447b2o6$445b2o359b2o$445b2o359b2o867b2o$1675b2o$1320b2o$1320b
2o4$443bo$442bobo260b2o$442bobo260b2o867b2o$443bo1130b2o10$444b2o$444b
2o4$585b2o$585b2o867b2o$1454b2o6$452b2o359b2o$452b2o359b2o867b2o$1682b
2o$1327b2o$1327b2o$362bo$361bo$361b3o$450bo$449bobo260b2o$449bobo260b
2o867b2o$450bo1130b2o10$451b2o$451b2o4$592b2o$592b2o867b2o$1461b2o2$
519bo$520b2o$519b2o2$459b2o359b2o$459b2o359b2o867b2o$1689b2o$1334b2o$
1334b2o4$457bo$456bobo260b2o$456bobo260b2o867b2o$457bo1130b2o10$458b2o
$458b2o4$599b2o$599b2o867b2o$1468b2o6$466b2o359b2o$466b2o359b2o867b2o$
1696b2o$1341b2o$1341b2o4$464bo$463bobo260b2o$330bo132bobo260b2o867b2o$
329bo134bo1130b2o$329b3o267b3o$600bo$598b3o7$465b2o$465b2o2$600b2o$
600b2o2$1475b2o$1475b2o4$598bo$597bobo$473b2o122bobo234b2o$473b2o90bo
32bo235b2o867b2o$566b2o1135b2o$565b2o781b2o$1348b2o4$471bo$470bobo260b
2o$470bobo260b2o867b2o$471bo127b2o1001b2o$599b2o9$472b2o92bo$472b2o92b
obo$566b2o$607b2o$607b2o2$1482b2o$1482b2o4$605bo$604bobo$480b2o122bobo
234b2o$480b2o123bo235b2o867b2o$1710b2o$1355b2o$1355b2o4$478bo$477bobo
260b2o$477bobo260b2o867b2o$478bo127b2o1001b2o$606b2o30bobo$639b2o$639b
o$298bo$297bo$297b3o4$479b2o$479b2o2$614b2o$614b2o2$1489b2o$1489b2o4$
612bo$611bobo$487b2o122bobo234b2o$487b2o123bo235b2o867b2o$1717b2o$
1362b2o$1362b2o2$611bo$612b2o$485bo125b2o$484bobo260b2o$484bobo260b2o
867b2o$485bo127b2o1001b2o$613b2o9$486b2o$486b2o2$621b2o$621b2o$534bo$
534bobo959b2o$534b2o960b2o6$494b2o359b2o$494b2o359b2o867b2o$1724b2o$
1369b2o$1369b2o4$492bo$491bobo260b2o$491bobo260b2o867b2o$492bo1130b2o
6$684bobo$685b2o$685bo$266bo$265bo227b2o$265b3o225b2o2$628b2o$628b2o2$
1503b2o$1503b2o6$501b2o359b2o$501b2o359b2o867b2o$1731b2o$1376b2o$1376b
2o4$499bo$498bobo260b2o$498bobo260b2o867b2o$499bo1130b2o8$1377bo$1376b
2o$500b2o873bo2bo$500b2o873bobo$1375bo2bo$635b2o738bo2bo$635b2o739bobo
$1375b3o$1510b2o$1510b2o$761b3o$762bo$502bo257b3o$502bobo$502b2o$508b
2o359b2o$508b2o359b2o506b2o359b2o$1377b2o359b2o5$762b2o$506bo255b2o$
505bobo867bo$505bobo866bobo260b2o$506bo867bobo260b2o$1375bo3$760bo$
759bobo$759bobo$760bo3$507b2o$507b2o221bobo643b2o$731b2o643b2o$642b2o
87bo$234bo407b2o$233bo$233b3o1281b2o$761b2o754b2o$761b2o5$515b2o359b2o
463bo$515b2o359b2o463bobo40b2o359b2o$1341b2o41b2o359b2o2$728bo$728bobo
$728b2o$769b2o$513bo255b2o$512bobo867bo$512bobo866bobo260b2o$513bo867b
obo260b2o$1382bo3$767bo$766bobo$766bobo$767bo3$514b2o$514b2o867b2o$
1383b2o$649b2o$649b2o766bobo$1418b2o$1418bo105b2o$768b2o754b2o$768b2o
30bobo$801b2o$801bo3$522b2o359b2o$522b2o359b2o506b2o359b2o$470bo920b2o
359b2o$470bobo$470b2o3$776b2o$520bo255b2o$519bobo867bo$519bobo866bobo
260b2o$520bo867bobo260b2o$1389bo3$774bo$773bobo$773bobo$774bo3$521b2o$
521b2o867b2o$1390b2o$656b2o117bo$656b2o116bobo$773bo3bo$773bo3bo753b2o
$773bo757b2o$774b3o$202bo$201bo$201b3o2$529b2o359b2o$529b2o359b2o506b
2o359b2o$1398b2o359b2o3$1309bo$1309bobo$783b2o524b2o$527bo255b2o$526bo
bo167bo699bo$526bobo167bobo696bobo260b2o$527bo168b2o697bobo260b2o$
1396bo9$528b2o$528b2o867b2o$1397b2o$663b2o$663b2o2$1538b2o$1538b2o2$
1463bobo$1464b2o$1464bo2$536b2o308bobo48b2o$536b2o309b2o48b2o506b2o
359b2o$847bo557b2o359b2o5$438bo351b2o$438bobo93bo255b2o$438b2o93bobo
867bo$533bobo866bobo260b2o$534bo867bobo260b2o$1403bo8$897b3o$535b2o
361bo$535b2o359b3o505b2o$1404b2o$670b2o$670b2o2$1545b2o$1545b2o4$898b
2o$898b2o$543b2o$170bo372b2o867b2o359b2o$169bo1242b2o359b2o$169b3o3$
896bo$797b2o96bobo$541bo255b2o96bobo$540bobo353bo513bo135bo$540bobo
734bo131bobo133b2o125b2o$541bo735bobo129bobo132bo2bo124b2o$1277b2o131b
o133bobo$1544bo2bo$664bo879bo2bo$664bobo878bobo$664b2o878b3o3$897b2o$
897b2o$542b2o$542b2o867b2o$1411b2o$677b2o$677b2o867b2o$1546b2o3$864bo$
864bobo$864b2o$905b2o$905b2o637bo$550b2o991bobo$550b2o867b2o88bobo31bo
bo234b2o$1419b2o89b2o32bo235b2o$1510bo2$892bobo$893b2o8bo$804b2o87bo8b
obo$548bo255b2o96bobo$547bobo353bo513bo$547bobo866bobo260b2o$548bo867b
obo260b2o$406bo1010bo127b2o$406bobo1136b2o$406b2o5$904b2o$904b2o30bobo
$549b2o386b2o$549b2o386bo480b2o$1418b2o$684b2o824bo$684b2o824bobo40b2o
$1510b2o41b2o6$912b2o$912b2o637bo$557b2o991bobo$557b2o867b2o122bobo
234b2o$1426b2o123bo235b2o4$138bo$137bo673b2o$137b3o415bo255b2o$554bobo
867bo$554bobo866bobo260b2o$555bo867bobo260b2o$1424bo127b2o$1552b2o2$
1245bo340bobo$1245bobo339b2o$1245b2o340bo2$632bo$632bobo$556b2o74b2o$
556b2o867b2o$1425b2o$691b2o$691b2o867b2o$1560b2o6$919b2o$919b2o637bo$
564b2o266bo724bobo$564b2o266bobo598b2o122bobo234b2o$832b2o599b2o123bo
235b2o4$1555bobo$818b2o736b2o$562bo255b2o736bo$561bobo867bo$561bobo
866bobo260b2o$562bo867bobo260b2o$1431bo127b2o$1559b2o4$374bo$374bobo$
374b2o2$563b2o$563b2o867b2o$1432b2o$698b2o$698b2o282bobo582b2o$983b2o
582b2o$983bo2$1478bo$1478bobo$1478b2o$926b2o$926b2o$571b2o$571b2o867b
2o359b2o$1440b2o359b2o5$825b2o$569bo255b2o$568bobo867bo$568bobo866bobo
260b2o$106bo462bo867bobo260b2o$105bo1332bo$105b3o7$1213bo418bobo$570b
2o641bobo417b2o$570b2o641b2o224b2o192bo$1439b2o$600bo104b2o$600bobo
102b2o867b2o$600b2o972b2o6$933b2o$933b2o$578b2o$578b2o867b2o359b2o$
1447b2o359b2o3$800bo$800bobo$800b2o30b2o$576bo255b2o$575bobo867bo$575b
obo866bobo260b2o$576bo867bobo260b2o$1445bo9$577b2o$342bo234b2o867b2o$
342bobo1101b2o$342b2o368b2o$712b2o867b2o$1581b2o125bo$1707b2o$1706bo2b
o$1706bobo$1028bobo675bo2bo$1029b2o675bo2bo$940b2o87bo677bobo$940b2o
764b3o$585b2o859bo$585b2o859bobo5b2o359b2o$1446b2o6b2o359b2o5$839b2o$
839b2o867b2o$1452bo255b2o$1451bobo$1451bobo$1452bo4$74bo1631bo$73bo
1631bobo$73b3o1629bobo$1706bo2$584b2o$584b2o867b2o$1453b2o$719b2o$719b
2o460bo406b2o88bobo$1181bobo404b2o89b2o$1181b2o496bo2$1707b2o$1707b2o
2$947b2o$947b2o$592b2o$592b2o867b2o359b2o$1461b2o359b2o5$846b2o824bo$
846b2o824bobo40b2o$1459bo212b2o41b2o$768bo689bobo$768bobo687bobo$768b
2o689bo4$1713bo$1712bobo$1712bobo$1713bo2$591b2o$591b2o867b2o$1460b2o$
726b2o$726b2o867b2o$1595b2o$310bo$310bobo$310b2o1402b2o$1714b2o2$954b
2o792bobo$954b2o793b2o$599b2o1148bo$599b2o473bobo391b2o359b2o$1075b2o
391b2o359b2o$1075bo2$1414bo$1414bobo$853b2o559b2o$853b2o867b2o$1466bo
255b2o$1465bobo$1465bobo$1466bo4$1720bo$1719bobo$1719bobo$1720bo2$42bo
555b2o$41bo556b2o867b2o251b3o$41b3o1423b2o251b3o$733b2o985b4o$733b2o
867b2o118bob2o$1602b2o117b2ob2o$1717b2o2b5o$1722b3o$1724bo$1149bo$
1149bobo$961b2o186b2o$961b2o$606b2o$606b2o867b2o359b2o$1475b2o359b2o5$
860b2o$860b2o867b2o$1473bo255b2o$1472bobo$1472bobo$1473bo166bo$1640bob
o$1640b2o$736bo$736bobo$736b2o4$605b2o$605b2o867b2o$1474b2o$740b2o$
740b2o867b2o$1609b2o6$278bo689b2o$278bobo687b2o$278b2o333b2o$613b2o
867b2o359b2o$1482b2o359b2o$1794bobo$1795b2o$1795bo$1120bobo$867b2o252b
2o$867b2o252bo614b2o$1480bo255b2o$1382bo96bobo$1382bobo94bobo$1382b2o
96bo5$1844bo$1843b2o$1842bo2bo$1842bobo$612b2o1228bo2bo$612b2o867b2o
359bo2bo$1481b2o360bobo$747b2o1093b3o$747b2o867b2o$10bo1605b2o$9bo$9b
3o4$975b2o$975b2o867b2o$620b2o1222b2o$620b2o495bo371b2o$1117bobo369b2o
$1117b2o4$874b2o966bo$874b2o867b2o96bobo$1487bo255b2o96bobo$1486bobo
353bo$1486bobo$1487bo5$1608bo$1608bobo$1608b2o$8bo695bo1138b2o$7b2o
610b2o83bobo1136b2o$7bobo609b2o83b2o782b2o$1488b2o$754b2o$40bo713b2o
867b2o$39b2o1582b2o$39bobo3$72bo$71b2o$71bobo908b2o824bo$982b2o824bobo
40b2o$627b2o1179b2o41b2o$104bo522b2o867b2o$103b2o1391b2o$103bobo140bo$
246bobo$246b2o$136bo$2b2o131b2o744b2o966bo$3bo131bobo743b2o867b2o88bob
o5bobo$3o1491bo255b2o89b2o5bobo$o1492bobo345bo7bo$168bo997bobo324bobo$
167b2o998b2o325bo$167bobo997bo2$1350bo$200bo1149bobo$199b2o1149b2o$
199bobo2$1850b2o$232bo393b2o1222b2o$231b2o393b2o867b2o$231bobo1261b2o
387bobo$761b2o1122b2o$761b2o867b2o253bo$264bo1365b2o$263b2o$263bobo3$
296bo$295b2o692b2o$295bobo691b2o867b2o$634b2o1222b2o$634b2o867b2o$328b
o1174b2o$327b2o$327bobo2$1085bo$9b2o349bo527b2o195bobo$10bo348b2o527b
2o195b2o670b2o$7b3o349bobo1139bo255b2o$7bo1492bobo$1500bobo$392bo1108b
o$391b2o$391bobo3$424bo$423b2o$423bobo2$633b2o$456bo176b2o867b2o72bo$
455b2o1045b2o72bobo$455bobo310b2o806b2o$672bo95b2o867b2o$672bobo962b2o
$488bo183b2o$487b2o$487bobo3$520bo475b2o$519b2o475b2o867b2o$519bobo
119b2o1222b2o$641b2o867b2o$1510b2o$552bo1223bo$551b2o1223bobo$551bobo
1222b2o2$16b2o877b2o$17bo196bo369bo310b2o867b2o$14b3o197bobo366b2o923b
o255b2o$14bo199b2o367bobo921bobo$1507bobo$1508bo$616bo$615b2o$615bobo$
1212bobo$1213b2o$648bo564bo$647b2o$647bobo668bo$640b2o676bobo$640b2o
676b2o189b2o$680bo828b2o$679b2o94b2o$679bobo93b2o867b2o$1644b2o2$712bo
1217bobo$711b2o1218b2o$711bobo1217bo2$1003b2o$744bo258b2o867b2o$648b2o
93b2o1127b2o$648b2o93bobo771b2o$1517b2o2$776bo$775b2o$775bobo$23b2o
877b2o$24bo877b2o867b2o$21b3o784bo706bo255b2o$21bo785b2o705bobo$807bob
o243bo460bobo$1053bobo459bo$1053b2o$840bo$839b2o$839bobo3$872bo$871b2o
$871bobo$1516b2o$1516b2o$782b2o120bo$782b2o119b2o746b2o$903bobo745b2o$
1544bo$1544bobo$936bo607b2o$935b2o$935bobo$1010b2o$1010b2o867b2o$655b
2o311bo910b2o$655b2o310b2o555b2o$967bobo554b2o3$1000bo$999b2o$30b2o
877b2o88bobo$31bo877b2o833bo33b2o$28b3o1491bo221bobo31b2o$28bo1003bo
488bobo220b2o$1031b2o488bobo$1031bobo488bo$182bo$182bobo$182b2o880bo$
1063b2o$1063bobo3$1096bo$1095b2o161bobo$1095bobo161b2o262b2o$1259bo
263b2o$789b2o$789b2o337bo157bo371b2o$1127b2o157bobo369b2o$1127bobo156b
2o3$1160bo$1159b2o$1017b2o140bobo$1017b2o867b2o88bobo$662b2o1222b2o89b
2o$662b2o528bo338b2o444bo$1191b2o338b2o$1191bobo3$1224bo$37b2o877b2o
305b2o$38bo877b2o305bobo559b2o$35b3o1747b2o$35bo$1256bo$1255b2o$1255bo
bo3$1021bo$1021bobo$1021b2o4$1530b2o$1530b2o$796b2o$796b2o867b2o$1665b
2o6$1024b2o$1024b2o867b2o$669b2o1222b2o$669b2o867b2o$1538b2o5$44b2o
877b2o$45bo877b2o867b2o$42b3o1747b2o$42bo3$1712bo$1712bobo$1712b2o3$
150bo$150bobo$150b2o2$1537b2o$1537b2o$803b2o$803b2o867b2o$1672b2o6$
1031b2o$1031b2o867b2o$676b2o1222b2o$676b2o867b2o$1545b2o2$2022bobo$
2023b2o$2023bo$51b2o877b2o$52bo877b2o867b2o$49b3o1747b2o$49bo11$989bo$
989bobo552b2o$989b2o553b2o$810b2o$810b2o867b2o$1679b2o6$1038b2o$1038b
2o867b2o$683b2o1222b2o$683b2o867b2o$1552b2o5$58b2o877b2o$59bo877b2o
867b2o$56b3o1747b2o$56bo8$1680bo$1680bobo$1680b2o2$1551b2o$118bo1432b
2o$118bobo696b2o$118b2o697b2o867b2o$1686b2o6$1045b2o$1045b2o867b2o$
690b2o1222b2o$690b2o867b2o$1559b2o5$65b2o877b2o$66bo877b2o867b2o$63b3o
1747b2o253bobo$63bo2005b2o$2069bo11$1558b2o$1558b2o$824b2o$824b2o867b
2o$957bo735b2o$957bobo$957b2o4$1052b2o$1052b2o867b2o$697b2o1222b2o$
697b2o867b2o$1566b2o5$72b2o877b2o$73bo877b2o867b2o$70b3o1747b2o$70bo
12$1565b2o$1565b2o81bo$831b2o815bobo$831b2o815b2o50b2o$1700b2o2$86bo$
86bobo$86b2o2$1059b2o$1059b2o867b2o$704b2o1222b2o$704b2o867b2o$1573b2o
5$79b2o877b2o$80bo877b2o867b2o$77b3o1747b2o$77bo4$2114bobo$2115b2o$
2115bo6$1572b2o$1572b2o$838b2o$838b2o867b2o$1707b2o5$925bo$925bobo138b
2o$925b2o139b2o867b2o$711b2o1222b2o$711b2o867b2o$1580b2o5$965b2o$965b
2o867b2o$1834b2o13$1579b2o$1579b2o$845b2o$845b2o867b2o$1714b2o2$1616bo
$1616bobo$1616b2o2$1073b2o$1073b2o867b2o$718b2o1222b2o$718b2o867b2o$
1587b2o5$972b2o$972b2o867b2o$1841b2o10$2160bobo$2161b2o$2161bo$1586b2o
$1586b2o$852b2o$852b2o867b2o$1721b2o6$1080b2o$1080b2o867b2o$725b2o
1222b2o$725b2o867b2o$893bo700b2o$893bobo$893b2o3$979b2o$979b2o867b2o$
1848b2o15$859b2o$859b2o867b2o$1728b2o6$1087b2o$1087b2o867b2o$732b2o
1222b2o$732b2o867b2o$1601b2o5$986b2o$986b2o867b2o$1855b2o15$866b2o
1338bobo$866b2o867b2o470b2o$1735b2o470bo6$1094b2o$1094b2o867b2o$739b2o
1222b2o$739b2o867b2o$1608b2o5$861bo131b2o$861bobo129b2o867b2o$861b2o
999b2o15$873b2o$873b2o867b2o$1742b2o6$1101b2o$1101b2o867b2o$746b2o
1222b2o$746b2o867b2o$1615b2o5$1000b2o$1000b2o867b2o$1869b2o15$880b2o$
880b2o867b2o$1749b2o3$2252bobo$2253b2o$2253bo$1108b2o$1108b2o867b2o$
753b2o1222b2o$753b2o867b2o$1622b2o5$1007b2o$1007b2o867b2o$1876b2o3$
829bo$829bobo$829b2o10$887b2o$887b2o867b2o$1756b2o6$1115b2o$1115b2o
867b2o$760b2o1222b2o$760b2o867b2o$1629b2o5$1014b2o$1014b2o867b2o$1883b
2o15$894b2o$894b2o867b2o$1763b2o6$1122b2o$1122b2o867b2o$767b2o1222b2o
305bobo$767b2o867b2o661b2o$1636b2o661bo5$1021b2o$1021b2o867b2o$1890b2o
8$797bo$797bobo$797b2o5$901b2o$901b2o867b2o$1770b2o6$1129b2o$1129b2o
867b2o$1998b2o$1643b2o$1643b2o5$1028b2o$1028b2o867b2o$1897b2o16$1777b
2o$1777b2o6$1136b2o$1136b2o867b2o$2005b2o5$2344bobo$2345b2o$2345bo$
1904b2o$1904b2o13$765bo$765bobo$765b2o9$2012b2o$2012b2o44$2390bobo$
2391b2o$2391bo15$733bo$733bobo$733b2o54$2436bobo$2437b2o$2437bo15$701b
o$701bobo$701b2o54$2482bobo$2483b2o$2483bo15$669bo$669bobo$669b2o!

Can't really claim success until we have a rake/rephaser that allows the free choice to fire/not fire a glider on either side, each time the trails are rephased. But with any luck there's some construction on the left that will absorb both trailing glider streams.

No idea yet on how to optionally suppress the backrake on the right, though: unfortunately a central kickback can't throw a glider forward through the right-hand trails, after either one or two rephasings. I think there's a clear path after three rephasings, but that means three rightward backrake streams would have to be cleaned up with one forward stream... not impossible, but maybe not very likely either.

Construction recipes are going to be a little strange. Because one rephasing moves the trail by (-6,-2), the left side has a slow-salvo construction stripe of width 41, where the right side is only width 27. 27 is a bit narrow for incremental constructions, but probably not impossible. Luckily the rephasing distance is relatively prime to the stripe width on both sides -- it's (+8N) mod 41 on the left, and (-4N) mod 27 on the right.

I think initial slow-salvo targets can be conveniently made by the B+glider version of the reaction, once we have a clean right-side forward rake to shoot down the extra glider outputs. With a horizontal offset of 7, it should be quite a bit easier to find a workable edge-shooting *WSS recipe -- the intermediate targets won't get in the way.

... So what horrible difficulties have I left out here?
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Re: Interesting simple fuses

Postby muzik » June 25th, 2017, 6:51 pm

Sphenocorona wrote:EDIT: Okay, here's one that is much more promising, a period 128 (8,1)c/32 fuse of a B heptamino and a glider. (I really hope I'm counting these correctly...)
x = 193, y = 88, rule = LifeHistory
.C$2.C$3C26$65.C$66.C$64.3C26$129.C$130.C$128.3C25$192.C$191.2C$190.
2C$191.C$192.C!
There's typical debris but it's possible that one could rig up a method of destroying it.


Kind of close, but probably not useful at all, especially seeing my severe lack of experience with fuses:
x = 237, y = 146, rule = B3/S23
bo$2bo$3o26$65bo$66bo$64b3o26$129bo$130bo$45bo82b3o$46bo$44b3o23$192bo
$191b2o$190b2o$109bo81bo$110bo81bo$108b3o51bo$163bo3$181bo$182bo3$173b
o$174bo17$173bo$174bo$172b3o25$236bo$235b2o$234b2o$235bo$236bo!
2c/n spaceships project

Current priorities: see here
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