For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
pcallahan
Posts: 508
Joined: April 26th, 2013, 1:04 pm

"Unsure" means "unsure if it's new", right? Here is a surprising (not very useful) reaction that came up in a different thread that can be summarized as glider + bheptomino=5 gliders + turner (consisting of a loaf/boat constellation). Is it new?

Code: Select all

``````x = 43, y = 41, rule = B3/S23
bo\$2bo\$3o35\$42bo\$41b2o\$40b2o\$41b2o!``````
This has the feel of something David Buckingham might have worked out in the 80s or earlier by some magic known only to him. The fact that the results are all gliders and a turner is notable and it's a simple collision.

Here is a clean 4-to-6 glider collision that illustrates the turner (simsim314 and I both noticed the turner works).

Code: Select all

``````x = 132, y = 110, rule = B3/S23
\$obo\$b2o\$bo60\$81bo\$82bo\$80b3o42\$121b2o7b2o\$120bobo6b2o\$122bo8bo!``````

Moosey
Posts: 3280
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board. Or [click to not expand]
Contact:

Probably known, but here’s a 3G-> R+G. Net 2G->R.

Code: Select all

``````x = 17, y = 5, rule = LifeHistory
#C [[ STOP 20 ]]
``````
4G to 2 barges:

Code: Select all

``````x = 10, y = 10, rule = B3/S23
o8bo\$b2o4b2o\$2o6b2o5\$2bo4bo\$obo4bobo\$b2o4b2o!
``````
What’s the best synth for a Beethoven?

Code: Select all

``````x = 6, y = 9, rule = B3/S23
b2o\$o2bo\$b2o\$5bo\$5bo\$5bo\$b2o\$o2bo\$b2o!
``````
EDIT:
3G:

Code: Select all

``````x = 6, y = 14, rule = B3/S23
4bo\$3bo\$3b3o\$o\$b2o\$2o6\$2b3o\$2bo\$3bo!
``````
EDIT:
Is there any hope for a diagonal PPS? (3c/30.)

Code: Select all

``````x = 15, y = 19, rule = B3/S23
13bo\$12bo\$12b3o\$7b2o2\$3o3b2o\$obo\$3o4b2o\$6b3o2\$6b3o\$3o4b2o\$obo\$3o3b2o2\$
7b2o\$2bo\$b2o\$bobo!
#C [[ STOP 30 ]]
``````
EDIT:
This is certainly known:

Code: Select all

``````x = 8, y = 9, rule = B3/S23
bo4bo\$2bo2bo\$3o2b3o4\$3o2b3o\$2bo2bo\$bo4bo!
``````
EDIT:
3G edgy century:

Code: Select all

``````x = 14, y = 9, rule = LifeHistory
3.A7.A\$4.A6.A.A\$2.3A6.2A3\$11.2D\$2A10.2D\$.2A7.D.D\$A9.2D!
``````
Last edited by Moosey on February 28th, 2019, 2:21 pm, edited 3 times in total.
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Hdjensofjfnen
Posts: 1516
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Moosey wrote: 4G to 2 long barges:
Maybe I'm being nitpicky, but those are just regular barges.
"A man said to the universe:
'Sir, I exist!'
'However,' replied the universe,
'The fact has not created in me
A sense of obligation.'" -Stephen Crane

Code: Select all

``````x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o\$6bo\$o3b3o\$2o\$bo!
``````

Entity Valkyrie 2
Posts: 538
Joined: February 26th, 2019, 7:13 pm
Location: Hijuatl, Zumaland
Contact:

tomas wrote: ive only been messing around with life for a few weeks now
And HighLife.
The ENEERG-y of the EVAD is watching.
The 70th NAI-ve guy is watching.

dvgrn
Moderator
Posts: 6725
Joined: May 17th, 2009, 11:00 pm
Contact:

Entity Valkyrie 2 wrote:
tomas wrote: ive only been messing around with life for a few weeks now
And HighLife.
The last visit by tomas was on May 31, 2011. Why did it seem like a good idea to draw everyone's attention to tomas's incredibly old posting today?

Attempts to beat wwei's various records for pointless necroposting are not particularly welcome, for reasons explained here and elsewhere.

Entity Valkyrie 2
Posts: 538
Joined: February 26th, 2019, 7:13 pm
Location: Hijuatl, Zumaland
Contact:

Oh, I wsas on page 1
The ENEERG-y of the EVAD is watching.
The 70th NAI-ve guy is watching.

HartmutHolzwart
Posts: 463
Joined: June 27th, 2009, 10:58 am
Location: Germany

Moosey wrote: EDIT:
Is there any hope for a diagonal PPS? (3c/30.)

Code: Select all

``````x = 15, y = 19, rule = B3/S23
13bo\$12bo\$12b3o\$7b2o2\$3o3b2o\$obo\$3o4b2o\$6b3o2\$6b3o\$3o4b2o\$obo\$3o3b2o2\$
7b2o\$2bo\$b2o\$bobo!
#C [[ STOP 30 ]]
``````
If we had two edgy p18 pseudo guns, they would produce two p18 glider streams to support this:

Code: Select all

``````x = 73, y = 73, rule = B3/S23
3\$14b2o2\$7b3o3b2o\$7bobo\$7b3o4b2o\$13b3o2\$13b3o3b3o\$7b3o4b2o3bo\$7bobo10b
o\$7b3o3b2o\$24b2o\$14b2o8bobo\$9bo14bo\$8b2o\$8bobo\$28b3o\$28bo\$13b2o14bo\$
12b2o\$14bo18b2o\$33bobo\$18bo14bo\$17b2o\$17bobo\$37b3o\$37bo\$22b2o14bo\$21b
2o\$23bo18b2o\$42bobo\$27bo14bo\$26b2o\$26bobo\$46b3o\$46bo\$31b2o14bo\$30b2o\$
32bo18b2o\$51bobo\$36bo14bo\$35b2o\$35bobo\$55b3o\$55bo\$40b2o14bo\$39b2o\$41bo
18b2o\$60bobo\$45bo14bo\$44b2o\$44bobo\$64b3o\$64bo\$49b2o14bo\$48b2o\$50bo18b
2o\$69bobo\$54bo14bo\$53b2o\$53bobo3\$58b2o\$57b2o\$59bo2\$63bo\$62b2o\$62bobo!
``````
Edit:
The easy part...

Code: Select all

``````x = 282, y = 266, rule = B3/S23
24\$47b2o2\$40b3o3b2o\$40bobo\$40b3o4b2o\$46b3o2\$46b3o3b3o\$40b3o4b2o3bo\$40b
obo10bo\$40b3o3b2o\$57b2o\$47b2o8bobo\$42bo14bo\$41b2o\$41bobo\$61b3o\$61bo\$
46b2o14bo\$45b2o\$47bo18b2o\$66bobo\$51bo14bo\$50b2o\$50bobo\$70b3o\$70bo\$55b
2o14bo\$54b2o\$56bo18b2o\$75bobo\$60bo14bo\$59b2o\$59bobo\$79b3o\$79bo\$64b2o
14bo\$63b2o\$65bo18b2o\$84bobo\$69bo14bo\$68b2o\$68bobo\$88b3o\$88bo\$73b2o14bo
\$72b2o\$74bo18b2o\$93bobo\$78bo14bo\$77b2o\$77bobo\$97b3o86bo\$97bo88b3o\$82b
2o14bo90bo\$81b2o105b2o\$83bo18b2o\$102bobo\$87bo14bo109bo\$86b2o102bo21b3o
\$86bobo101b4o21bo\$106b3o85bo19b2o\$106bo84b2obo5b2o\$91b2o14bo83b2o6bo2b
o15b2o\$90b2o98bo7bobobo\$92bo18b2o75b4o5b3obo13b2o\$111bobo78bo6bo15b2o\$
96bo14bo75bo3b2o5b2o19bo\$95b2o91bo2b2o5b2o18b2o6b2o\$95bobo91b2o25bo2bo
5bo2bo\$115b3o106bobobo\$115bo101b2o3b3o2bo\$100b2o14bo88b2o8bobo\$99b2o
96b2o6b2o8b3o6b2o\$101bo18b2o66b2o5b2o2bo16bo8bo\$120bobo65b2o5b2o3bo2b
6o\$120bo67bo6bo6bo3bo2bo\$186bob3o5b4o3b3o2b2o\$185bobobo7bo6bo\$124b3o
58bo2bo6b2o6b2o\$124bo61b2o15b2o9bo8bo\$125bo67bo2bo6b2o4b2o3b2o6b3o\$
194b2o2b2o2b3o3bobo11bobo8b2o\$129b2o66b2o3b3o3bobobo2b3o3b2o9bo2bo23b
2o\$129bobo40b2o23bo4b3o4bobobobo16bobo24bo\$129bo41bo2bo18bo3bo4b3o6bo
2bo5bo2bo9bo3b2o4b2ob2o9bobo\$171bobo20bo2bo5b2o6b3o6b2o12b2obo5b2ob3o
3bo4b2o\$172bob4o16b2ob2o5bo15bo14bo6b2o3bo2b4o\$133b3o37b2ob2o8b2obo2b
2obobo4bobobo4b2obo8b2o10bo7b2ob2o\$133bo40bo9b2o4bob3obo5b2obobo3bob2o
8b3o18b5obob2o\$134bo47bobob2o6b2o9bobo17bo19bo2b2o2b2o\$183bo4b5obo10b
2o13b2o4b2o2bobo4bo\$138b2o29bo20b4o6bo21bo2b2obo5b5o\$138bobo26b4o20bo
9bo30b2ob2ob2o7bo\$138bo12b2o13bob5o4bo21b3o21bo7bo3bo3b2o6bo\$151b2o12b
2o6b2obobo45bo2bo2bo4b2ob2o5bob2o\$165b4obo4b2o9bo31bo10b2o4b2ob2o4b2o
3bo\$142b3o6bo11b3ob2o2bob2o8b2ob2o29bo10bobo17bobo\$142bo7bobo9bobo18b
4obo28b3o27bo2bo\$137b2o4bo6bo2bo2b2o4bo24bobo33b2o11bo11b2o\$137bo16bob
2o3b2o23bo2bo33bo11bobo\$139bo7b2o3b2o33b2o35b9o2bobo\$138b4o5bobo71b3o
2b7obo2bob2o\$122bo14bo4bo4bo73bo2bo2b6o4bob2o\$122b3o12b5obo27b2o16b2o
31b2o13bo\$125bo9b2o3bo2bo26b4o14b4o13b3o21b2o4bobo\$124b2o8bo2b3obob2o
6b3o15b2ob2o13b2ob2o12b3o22b2o4b2o\$134b2obobobo9bo18b2o16b2o14bo2b3o
15b2o\$137bo2bob2o2b2o4bo55b2o14bo2bo23b2o\$137b2obobo81bobo24bo\$126b3o
10bobob2o11b2o67bob4o11b2o5bobo\$126bo2bo9bobobo12bobo67b2ob2o10b5o3b2o
\$125bo3bo10bo2bo12bo70bo8b3o2bo4bo\$125b4o7b2o3b2o91b2o5b3o2bo\$126bo8bo
2bo75bo27bo2b2o\$133bo2bobo74b2o28b2o\$133bo3bo75bobo6b2o\$133bo73b2o11b
2o2bo\$125b3o8bo69bobo11bo2b3o5b2o\$126b2o6b2o29b2o39bobob2o8bo4bo2b3o8b
o\$126b3o36bobo39bobobo9b5o10b2ob2o\$126b2o37bo43bo6b3o4b2o11b4obo\$208bo
2bo4bo2bo20bobo\$132b2o7b2o65bo9b2o19bo2bo\$131b3o7b2o6b3o56bo3bo27b2o\$
124b2o6b2o15bo2bo51b2o2bo3bobo2bo\$123bo8b3o4b6o4bo54b2o2bo6b2o\$126bo
11bo6bo3bo58bo9b2o\$122bo3bo12b3o2b2o4bobo21b2o32bo2bo6b3o5b2o\$121bobo
2bo47bobo31bo9b2o5bo2bo\$121bo2bo8bo7bo32bo42b2o5bobobo\$122b2o7b4o3bo2b
o62b2o2b3o5b3o4b3obo\$130bo3bo6bo62bo6bo3bo9bo\$130bo2bo7bo2b2o59b6o4bob
o6b2o\$131b3o3bo3bo2b2o69b3o6b2o\$108b2o27bo3bo65b2o\$107bo2bo30bo65b2o\$
107bobo2bo25bo2bo41b2o\$108bo4bo8bo17bo42bobo\$113bo8b3o13bobobo40bo\$
109b3o9bo3bo12b2obobo70b2o6b3o\$118b3o4bo6bobo6bobo70b2o6bobo\$118b3obob
2o7b2o6b2o6b3o62bo9bo\$110bobo5b2o3bo9bo15bo2bo59bob3o4b3o\$109bo3b2o5bo
bo26bo61bobobo5b2o\$107b2obob3o34bo61bo2bo5b2o\$107bo4b3o35bobo39b2o18b
2o5b3o\$107bo3bo9b3o68bobo25b2o\$99b2o7b3o8bo72bo30b2o\$98bobo9bo8bo4bo
98b2o\$98bo21bo2bobob2o12bobo\$97b2o23bo2bobo14b2o\$123b3o2bo13bo\$126bobo
3b2o38b2o4b2o44b2o\$125bobo4b2o20b2o16b2o4bobo43bo\$125bo13b2o13bobo8b2o
13bo20b2o22b3o\$122b2ob2o2b2o5bobo2bo12bo9bo2bo11b2ob2o17bobo23bo\$122b
2obo13b3o22b3o11bobob2o17bo20b2o3bobo\$125bob4o6b2o7bo20b12obo41b2o4bob
o\$125bobo3b6o2bo6b2o18bo2b8obobo34b2o13bo\$113b2o11bo11b2o5bobo18b2o2b
4o5bo11b2o21bo2bo11b2ob2o\$112bo2bo74bo2bo20b3o11bobob2o\$112bobo73bo2bo
bo23b12obo\$113bo3b2o4bo39b2o11bo10bo4bo23bo2b8obobo\$114b2obo4bo2bo37bo
bo6b2o2bo3bo6bo22b2o4b2o2b4o5bo11b2o\$115bo10bo36bo7bo5bo2b3o6b3o18bobo
27bo2bo\$115bo5bo4bo43b2o2bobo3b3o27bo11b3o13bo2bobo\$125b2o10bo33b2o3bo
51bo8bo4bo\$118bo18b2o33b3o47bo5bo3bo4bo\$124bo11bobo55b3o42b3o\$116b2o
23b2o49bo3b2o34b2o\$116bo4bo5bo37bo20b3o3bobo2b2o20bo4b2obo3b2o\$116bo
10bo36b3o10b3o6b3o2bo5bo20bo12bo13bo\$104b2o11bo2bo4bob2o20b2o4b2o7bob
2o13bo6bo3bo2b2o3b2o4bo10bobo17bo5b2obo\$103bobo13bo4b2o3bo10bobo5bo2bo
2bo2bo18bo4bo10bo7bobo2bobo10b2o16b2o3bo4bo\$103bo24bobo9bobo4bobobo2bo
bo2bo15bobo2bo21bo2b2o8bo19b2o6bo\$102b2o23bo2bo14b3o2bo4bo3bo15bo2bo
23b3o7bob2o11b3o12b3obo\$128b2o29bo7bo8b2o27b2o5bo2bo15bo4bo3bo3bobo3b
2o\$147b2o7bo8b3o36bo2bo4bo13bo4bo8bo9bobo\$140b3o5bo8b2o7bo37bobo2bo6bo
8bobo2bo21bo\$139b2obo20bo2bo38bo3bo4bobo8bo2bo23b2o\$139b3o21b3o43bo4bo
2bo8b2o\$206bo8bob2o\$144b3o13b3o44b2o6bobo\$143bob2o12bo2bo53bo\$137bo5b
3o13bo7b2o\$137b2o19b3o8bo\$158bo7bo\$135bo2b3o25bo3bo38bo\$134bobobo8bo
18bo2bobo36bobo6b2o\$134bo2bo6bobo21bo2bo35b2obo8bo\$135b2o7b2o12b2obo7b
2o37bo2bo4bo\$142b6o11b3o47bobo4bo3bo\$142bob2o14bo48bo6bo2bobo\$143bo69b
o4bo2bo\$210bo2bo5b2o\$210b2obo\$208b3o\$147b2o8b2o49b2o\$147bo10bo\$148b3o
4b3o\$150bo4bo\$207b2o\$208bo\$205b3o\$205bo!
``````
Edit2:

If we had a c(1,1)/5 p30 side rake, that would also support the reaction.

Code: Select all

``````x = 160, y = 179, rule = B3/S23
12\$131bo\$130bo\$130b3o9\$126bo\$126bobo\$126b2o8\$122bo\$121bo\$121b3o9\$117bo
\$117bobo\$117b2o8\$113bo\$112bo\$112b3o9\$108bo\$108bobo\$108b2o8\$104bo\$103bo
\$103b3o9\$99bo\$99bobo\$99b2o8\$95bo\$94bo\$94b3o\$89b2o2\$82b3o3b2o\$82bobo\$
82b3o4b2o\$88b3o2\$88b3o\$82b3o4b2o\$82bobo\$82b3o3b2o2\$89b2o\$82bo\$82b2o\$
81bobo3\$71b2o\$72b2o\$71bo2\$61bo\$61b2o\$60bobo3\$50b2o\$51b2o\$50bo2\$40bo\$
40b2o\$39bobo3\$29b2o\$30b2o\$29bo2\$19bo\$19b2o\$18bobo3\$8b2o\$9b2o\$8bo!
``````

simsim314
Posts: 1766
Joined: February 10th, 2014, 1:27 pm

You should be able solve it with regular P30 technology. It can get you to very tight places:

Code: Select all

``````x = 554, y = 509, rule = B3/S23
40\$443b2o\$443b2o21\$425b2o\$418b2o6b2o17b2o6b2o\$417bobo5bo18bo2bo4bo2bo\$
419bo23b6o2b6o\$444bo2bo4bo2bo\$445b2o6b2o\$419b2o\$418bobo\$420bo2\$437b2ob
ob2o2\$437bo5bo2\$438b2ob2o\$134bobo273b2o28bo\$135b2o266b2o6b2o\$135bo266b
obo5bo\$404bo2\$440b2o\$404b2o34b2o\$403bobo\$405bo2\$422bo2bob2obo2bo\$422b
4ob2ob4o\$422bo2bob2obo2bo3\$395b2o\$388b2o6b2o\$387bobo5bo\$389bo2\$416b5o\$
389b2o24bob3obo\$388bobo25bo3bo\$390bo26b3o\$418bo4\$418b2o\$418b2o\$380b2o\$
373b2o6b2o\$372bobo5bo\$374bo24bo2b2o4b2o2bo\$398bo3b3o2b3o3bo\$399bo2b2o
4b2o2bo\$374b2o\$373bobo\$375bo3\$395b3o\$394bo3bo\$393bo5bo\$393bo5bo\$396bo\$
394bo3bo\$395b3o\$396bo3\$396b2o\$396b2o4\$380b8o\$380bob4obo\$380b8o4\$374bo\$
373b3o\$372b5o\$371bobobobo\$371b2o3b2o3\$374bo\$373bobo\$373bobo\$374bo\$374b
2o\$374b2o\$374b2o\$361b2o\$359bo4bo\$358bo6bo\$357bo8bo\$357bo8bo\$357bo8bo\$
358bo6bo\$359bo4bo\$351b3o7b2o2\$351bobo\$350b5o\$349b2o3b2o\$349b2o3b2o\$
320b2o\$313b2o6b2o\$312bobo5bo31bo\$314bo35b2o2\$349bo2\$350bo2bo\$352b2o3\$
317b2o16b2o6b2o\$316bobo15bo2bo4bo2bo\$318bo14b6o2b6o\$334bo2bo4bo2bo\$
335b2o6b2o\$309b2o19bo\$308bobo17b2ob2o\$310bo\$327bo5bo2\$327b2obob2o9\$
290b2o38b2o\$283b2o6b2o37b2o\$282bobo5bo\$284bo2\$312bo2bob2obo2bo\$312b4ob
2ob4o\$301b2o9bo2bob2obo2bo\$300bobo5bo\$302bo4b3o\$306bo3bo\$305bob3obo\$
306b5o\$287b2o\$288b2o\$287bo8\$308b2o\$308b2o2\$290bo\$287b4o4bo\$286b4o5bo\$
286bo2bo9b2o\$260b2o24b4o9b2o\$253b2o6b2o17b2o5b4o\$252bobo5bo18bobo8bo\$
254bo24bo\$278b2o2\$254b2o\$253bobo\$255bo7\$245b2o\$238b2o6b2o\$237bobo5bo\$
239bo\$263bobo2bobo\$258b2o2bo2bo2bo2bob2o\$239b2o15b2o5bobo2bobo\$238bobo
15b2o\$240bo18b2o3\$254b2o3b2o\$255b5o\$256b3o\$257bo\$230b2o\$223b2o6b2o\$
222bobo5bo\$224bo3\$224b2o\$223bobo31b2o\$225bo31b2o3\$242b6o\$241bo6bo\$240b
o8bo\$234bo6bo6bo\$215b2o17b2o6b6o\$208b2o6b2o16b2o\$207bobo5bo\$209bo\$232b
2o3b2o\$232bo5bo\$209b2o\$208bobo22bo3bo\$210bo23b3o7\$235b2o\$235b2o3\$219bo
6bo\$218b2o6b2o\$217b3o6b3o\$218b2o6b2o\$211b2o6bo6bo4\$210b2o3b2o\$213bo\$
210bo5bo\$211b2ob2o\$212bobo\$213bo\$213bo5\$213b2o\$213b2o3\$196b2o6b2o\$194b
o4bo2bo4bo\$194bo4bo2bo4bo\$194bo4bo2bo4bo\$196b2o6b2o6\$188b2o3b2o2\$189bo
3bo\$190b3o\$190b3o4\$155b2o\$148b2o6b2o33b2o\$147bobo5bo35b2o\$149bo3\$173bo
2bob2obo2bo\$172b2o2bo4bo2b2o\$173bo2bob2obo2bo3\$152b2o\$151bobo\$153bo2\$
168b3o\$144b2o21bo3bo\$143bobo20bo5bo\$145bo21bo3bo\$168b3o\$168b3o4\$169b2o
\$169b2o4\$153bobo2bobo\$125b2o22b2obo2bo2bo2bob2o\$118b2o6b2o25bobo2bobo\$
117bobo5bo\$119bo3\$147bo\$146b3o\$145b5o\$144b2o3b2o2\$130bo\$130b2o\$129bobo
14b3o\$146b3o3\$147b2o\$147b2o3\$132b6o\$131bo6bo\$130bo8bo\$131bo6bo\$132b6o
3\$124b3o\$123bo3bo2\$122bo5bo\$122b2o3b2o3\$125bo\$124bobo\$124bobo\$124bo\$
124bo\$124bo2bo\$125b2o3\$109bo6bo\$108b2o6b2o\$107b3o6b3o\$108b2o6b2o\$109bo
6bo5\$106bo2\$106bo!
``````

dvgrn
Moderator
Posts: 6725
Joined: May 17th, 2009, 11:00 pm
Contact:

simsim314 wrote:You should be able solve it with regular P30 technology. It can get you to very tight places...
You beat me to the punch (or the post). It took me a while to remember the name of those things -- glider pusher -- and to double-check that they do indeed work fine to build a p18 stream out of p36 streams:

Code: Select all

``````x = 41, y = 33, rule = LifeHistory
11.4B\$12.4B\$13.4B\$14.4B\$15.4B\$16.4B\$7.2B8.4B\$5.6B7.4B\$3.10B6.4B\$.3BAB
A2BABA3B4.5B\$2ABA2BA2BA2BA2B2A8B\$.3BABA2BABA4B.2A.6B\$3.10B.3B2AB2.5B\$
5.6B3.2A4B3.4BA\$7.2B6.5B4.2B2AB\$14.7B4.BABAB\$14.2A3B2A5.5B\$14.B5AB6.
5B\$14.2B3A2B7.B3AB\$14.3BA3B8.A4B\$14.7B9.A4B\$15.5B11.5B\$15.5B12.4BA\$
16.3B14.2B2AB\$17.4B13.BABAB\$19.2A14.5B\$19.A16.5B\$20.3A14.4B\$22.A15.3B
\$39.2B\$40.B!``````
We have Herschel-based edge shooters that should have no trouble braiding together three p108 streams into p36 streams. Or maybe three p54 streams reflected into place by Snarks would work better?

EDIT: I definitely said that wrong. For the p30 glider pushers to work, it will be necessary to start with p90 streams and interleave five streams to get p18. At p90, I think two of the four insertions can be done with Herschel edge-shooter technology, so only two streams will have to be pushed into place.

pcallahan
Posts: 508
Joined: April 26th, 2013, 1:04 pm

Has anyone ever noticed this unusual case of a blinker acting as a catalyst?

Code: Select all

``````x = 12, y = 10, rule = B3/S23
2bo\$obo\$b2o6b3o4\$6b2o\$5bo2bo\$6bobo\$7bo!
``````
Without the blinker, the same collision moves the loaf the same way, but does not output a new glider.

Code: Select all

``````x = 9, y = 10, rule = B3/S23
2bo\$obo\$b2o4\$6b2o\$5bo2bo\$6bobo\$7bo!
``````
I can't think of anything to do with this, because the resulting pattern seems useless once the loaf is moved. It is just a little interesting that the presence of a blinker makes the difference between getting or not getting a glider.

77topaz
Posts: 1497
Joined: January 12th, 2018, 9:19 pm

The loaf is displaced by (3,1). Given the size/unusualness of that step, I don't expect there's any simple catalysts that could move it back and not block the glider's path?

Gamedziner
Posts: 796
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

77topaz wrote:The loaf is displaced by (3,1). Given the size/unusualness of that step, I don't expect there's any simple catalysts that could move it back and not block the glider's path?
Here's something even more frustrating: there is a (3,1) displacement reaction involving a glider that uses the same lane the loaf is on:

Code: Select all

``````x = 42, y = 40, rule = LifeHistory
32.A\$33.A2.3D\$31.3A5.3A3\$33.2D\$32.D2.D2A\$33.D.C2.A\$34.D.A.A\$37.A8\$20.
2A\$21.2A\$20.A6\$12.A\$12.2A\$11.A.A10\$2A\$.2A\$A!``````

Code: Select all

``````x = 81, y = 96, rule = LifeHistory
58.2A\$58.2A3\$59.2A17.2A\$59.2A17.2A3\$79.2A\$79.2A2\$57.A\$56.A\$56.3A4\$27.
A\$27.A.A\$27.2A21\$3.2A\$3.2A2.2A\$7.2A18\$7.2A\$7.2A2.2A\$11.2A11\$2A\$2A2.2A
\$4.2A18\$4.2A\$4.2A2.2A\$8.2A!
``````

Hdjensofjfnen
Posts: 1516
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Maybe this ladle spark + beacon converter can be useful for tight wedges:

Code: Select all

``````x = 8, y = 6, rule = B3/S23
7bo\$6bo\$2b2o2bo\$3bo2bo\$o\$2o!``````
EDIT: Or, you know, with an extra spark:

Code: Select all

``````x = 8, y = 7, rule = B3/S23
5bo2b\$7bo\$6bo\$2b2o2bo\$3bo2bo\$o\$2o!``````
Last edited by Hdjensofjfnen on March 5th, 2019, 12:57 am, edited 2 times in total.
"A man said to the universe:
'Sir, I exist!'
'However,' replied the universe,
'The fact has not created in me
A sense of obligation.'" -Stephen Crane

Code: Select all

``````x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o\$6bo\$o3b3o\$2o\$bo!
``````

Hunting
Posts: 2964
Joined: September 11th, 2017, 2:54 am

Gamedziner wrote:
77topaz wrote:The loaf is displaced by (3,1). Given the size/unusualness of that step, I don't expect there's any simple catalysts that could move it back and not block the glider's path?
Here's something even more frustrating: there is a (3,1) displacement reaction involving a glider that uses the same lane the loaf is on:

Code: Select all

``````x = 42, y = 40, rule = LifeHistory
32.A\$33.A2.3D\$31.3A5.3A3\$33.2D\$32.D2.D2A\$33.D.C2.A\$34.D.A.A\$37.A8\$20.
2A\$21.2A\$20.A6\$12.A\$12.2A\$11.A.A10\$2A\$.2A\$A!``````
Hey, thats one of the Gustavo reactions!
MLP will live on forever, so does John Horton Conway.
Moosey wrote:
February 5th, 2019, 7:51 pm
“New knightship tagalong!”
“Quick, hide it!”
My TODO list

LeapLife - DirtyLife - LispLife

I could make a rule in ten seconds flat

Hdjensofjfnen
Posts: 1516
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Hunting wrote:Hey, thats one of the Gustavo reactions!
Someone needs to look through all of Gustavo's stuff to find something possibly useful.
"A man said to the universe:
'Sir, I exist!'
'However,' replied the universe,
'The fact has not created in me
A sense of obligation.'" -Stephen Crane

Code: Select all

``````x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o\$6bo\$o3b3o\$2o\$bo!
``````

Moosey
Posts: 3280
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board. Or [click to not expand]
Contact:

A discovery that is accidental and probably known:

Code: Select all

``````x = 27, y = 16, rule = B3/S23
9b2o5b2o\$9b2o5b2o7\$9bo7bo\$3b2obobob2o3b2obobob2o\$3obob3o9b3obob3o\$o3bo
bo5bobo5bobo3bo\$4b2o6bobo6b2o\$b2o9bobo9b2o\$b2ob2o15b2ob2o\$5bo15bo!
``````
You can now pull block pairs with 601-glider salvoes any distance orthogonally from the blocks!

I suppose this one-time spider->W+LOM isn’t useful:

Code: Select all

``````x = 42, y = 21, rule = LifeHistory
3.3D.3D\$5.D.D\$5.D.3D\$5.D.D.D16.3D6.3D.3D\$5.D.3D16.D.D6.D3.D.D\$11.2A
13.D2.D5.3D.3D\$11.2A14.D.D7.D.D.D\$27.3D5.3D.3D\$7.2D\$2A5.D.D\$2A7.2D3\$
12.A7.A\$6.2A.A.A.2A3.2A.A.A.2A\$3.3A.A.3A9.3A.A.3A\$3.A3.A.A5.A.A5.A.A
3.A\$7.2A6.A.A6.2A\$4.2A9.A.A9.2A\$4.2A.2A15.2A.2A\$8.A15.A!
#C [[ T 58 PAUSE 1 T 76 PAUSE 1 ]]
``````
Could be useful in a conduit if you replace the bait blocks. The Blocks are at the edge of the reaction and still are by the formation of the W.

Of course, you could get the extra glider to go into a conduit and magically create a “RESET” salvo, making a uselessly large spider eater. Are there any known spider eaters?
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

dvgrn
Moderator
Posts: 6725
Joined: May 17th, 2009, 11:00 pm
Contact:

Moosey wrote:Are there any known spider eaters?
I don't remember any (which doesn't mean much) and can't find any (which means a little more). Tropylium did find the two-block moving absorber back in August 2011. We ought to do better than that. Might as well make an eater with an optional glider output, so we can add spiders to the list of universally convertible signals.

How about one of these? Rebuild two blocks, or rebuild one beehive and shoot down a couple of pieces of junk:

Code: Select all

``````x = 138, y = 33, rule = LifeHistory
53.2C\$53.2C7\$135.2C\$134.C2.C\$135.2C\$87.2C\$87.2C5\$2C\$2C4\$34.2C\$34.2C2\$
8.2A5.2A5.2A5.2A27.2A5.2A5.2A5.2A27.2A5.2A5.2A5.2A\$6.A3.A3.A2.A3.A2.A
3.A3.A23.A3.A3.A2.A3.A2.A3.A3.A23.A3.A3.A2.A3.A2.A3.A3.A\$6.A3.A.A.3A
5.3A.A.A3.A23.A3.A.A.3A5.3A.A.A3.A23.A3.A.A.3A5.3A.A.A3.A\$6.A5.2A2.3A
.3A2.2A5.A23.A5.2A2.3A.3A2.2A5.A23.A5.2A2.3A.3A2.2A5.A\$6.2A.3A15.3A.
2A23.2A.3A15.3A.2A23.2A.3A15.3A.2A\$6.A25.A23.A25.A23.A25.A\$7.A3.A15.A
3.A25.A3.A15.A3.A25.A3.A15.A3.A\$8.A2.A15.A2.A27.A2.A15.A2.A27.A2.A15.
A2.A!``````
Or maybe something producing two simultaneous output signals instead of one? Or is there something cheaper to rebuild than these Heisenburp ideas from David Bell from 2004?

Code: Select all

``````x = 38, y = 27, rule = B3/S23
32b3o4\$36b2o\$32b2obobo\$32b2ob2o6\$34bo\$33bobo\$34b2o4\$36b2o\$32b2obobo\$6b
o3b3o5b3o3bo7b2ob2o\$3b2ob5ob2o3b2ob5ob2o\$bob2obo5bobobobo5bob2obo\$o3bo
bo3b5ob5o3bobo3bo\$4b3o5b2o3b2o5b3o\$bo2bob3o13b3obo2bo\$3bo23bo!``````

dvgrn
Moderator
Posts: 6725
Joined: May 17th, 2009, 11:00 pm
Contact:

dvgrn wrote:How about one of these? Rebuild two blocks, or rebuild one beehive and shoot down a couple of pieces of junk...
A slightly different two-block solution makes a good first attempt at a spider eater / spider-to-glider converter / spider-to-Herschel converter, repeat time 845. Or maybe it's my fourth attempt: a repeat time of 1200+ was what showed up at first, then 1037, then 945. Going to stop here:

Code: Select all

``````x = 387, y = 356, rule = LifeHistory
195.2A20.4B99.A\$194.B2A2B17.4B100.3A\$195.4B16.4B104.A22.A\$193.6B15.3D
B10.A93.2A20.3A11.A\$193.5B15.3BD11.3A91.4B17.A14.3A\$192.6B14.3BD15.A
14.A77.3B16.2A16.A14.A\$191.7B13.4B15.2A12.3A76.4B14.4B15.2A12.3A\$192.
6B12.4B4.B.7B3.3B.2B7.A62.2B15.5B12.3B5.B.7B3.3B.2B7.A\$192.7B10.4B.
13B5.5B6.2A59.5B13.6B11.4B.13B5.5B6.2A\$192.6B4.36B2.5B58.7B12.8B2.36B
2.5B\$192.7B2.42B60.8B10.52B\$192.7B2.41B2A58.9B11.50B2A\$191.9B.22B2A
17B2A57.10B12.7B.22B2A17B2A\$191.32B2A16B.B58.A8B12.31B2A16B.B\$186.B4.
20B2.2B3.23B59.ABA8B11.19B2.2B3.23B\$185.2AB.19B11.10B2.9B60.ABA10B8.
17B11.10B2.9B\$185.2A19B16.6B3.8B61.BA14B2.2B.15B16.6B3.8B\$186.B.17B
19.3B4.7B63.11BD22B19.3B4.7B\$189.17B20.B3.11B60.9BDBD13B.8B21.B3.11B\$
189.17B20.2A2.12B61.7B3D9B2A2B3.8B19.2A2.12B\$189.15B.B2A19.A2.12B61.
7BD11B2A2B5.B3.2A20.A2.12B\$189.12B4.BA.A16.A5.11B62.B2.18B10.A19.A5.
11B\$188.11B9.A16.2A2.4B.8B72.4B.3B.B12.3A16.2A2.4B.8B\$187.13B8.2A19.
2A4.7B73.4B19.A20.2A4.7B\$188.12B30.A4.7B74.4B40.A4.7B\$189.10B28.3A6.
6B75.4B36.3A6.6B\$189.9B29.A8.7B75.4B35.A8.7B\$189.9B38.8B75.4B43.8B\$
189.9B39.8B75.4B43.8B\$192.5B40.8B76.4B42.8B\$193.4B39.6B2.B2A75.4B40.
6B2.B2A\$193.4B39.7B.BA.A75.4B39.7B.BA.A\$194.4B22.2A15.6B4.A76.4B22.2A
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6B2AB84.4B21.A.AB3.4B.6B2AB\$197.4B21.2AB.13B2A2B84.4B21.2AB.13B2A2B\$
198.4B22.18B86.4B22.18B\$199.4B21.17B88.4B21.17B\$200.4B21.13B92.4B21.
13B\$201.4B22.12B92.4B22.12B\$202.4B23.10B93.4B23.10B\$203.4B22.11B93.4B
22.11B\$204.4B22.2B.7B94.4B22.2B.7B\$205.4B21.11B94.4B21.11B\$206.4B19.
11B96.4B19.11B\$207.4B18.11B97.4B18.11B\$28.2A128.2A48.4B17.11B48.2A48.
4B17.11B\$27.A.A127.A.A49.4B16.8B2.B2A45.A.A49.4B16.8B2.B2A\$21.2A4.A
123.2A4.A52.4B15.7B3.BA.A38.2A4.A52.4B15.7B3.BA.A\$19.A2.A2.2A.4A62.2A
53.A2.A2.2A.4A49.4B14.7B6.A36.A2.A2.2A.4A49.4B14.7B6.A\$19.2A.A.A.A.A
2.A61.A.A53.2A.A.A.A.A2.A50.4B13.6B7.2A35.2A.A.A.A.A2.A50.4B13.6B7.2A
\$22.A.ABABAB57.2A4.A58.A.ABABAB53.4B11.7B47.A.ABABAB53.4B11.7B\$22.A.A
B2AB56.A2.A2.2A.4A54.A.AB2AB55.4B9.8B47.A.AB2AB55.4B9.8B\$23.AB.2B57.
2A.A.A.A.A2.A55.AB.2B57.4B7.8B49.AB.2B57.4B7.8B\$26.3B59.A.ABABAB60.3B
57.4B5.9B52.3B57.4B5.9B\$26.4B6.2A50.A.AB2AB61.4B6.2A49.4B3.4B.6B51.4B
6.2A49.4B3.4B.6B\$24.3B2AB6.A52.AB.2B60.3B2AB6.A51.4B.4B.7B49.3B2AB6.A
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3B2AB3.BA.A52.7B2.6B\$9.3A10.10B.B2A56.4B6.2A35.3A10.10B.B2A54.5B3.6B
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6B54.4B5.9B\$3.A8.8B4.9B52.15B33.A8.8B4.9B52.4B7.8B29.A8.8B4.9B52.4B7.
8B\$2A.A.B3.10B5.2A4.4B50.4B2.8B32.2A.A.B3.10B5.2A4.4B50.4B9.7B26.2A.A
.B3.10B5.2A4.4B50.4B9.7B\$A2.3AB.2B2A7B6.A5.4B48.4B5.6B32.A2.3AB.2B2A
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11.4B35.A6.4B7.A.AB.11B.B2A22.A.2B3.7B.B2A.A11.4B35.A6.4B7.A.AB.11B.B
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2A5.4B9.2AB.2BA10B25.3AB2.7B.BA.A.2A10.4B33.2A5.4B9.2AB.2BA10B\$7.A4.
4B5.A2.A11.4B32.5B.4B6.A10.4B34.A4.4B5.A2.A11.4B32.5B.4B12.3BABA10B
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5A5.4B5.2A14.7B30.7B13.3BABA9B23.5A5.4B5.2A14.7B30.7B13.3BABA9B\$2.A
10.4B11.A8.8B4.B.2B20.7B21.4B27.A10.4B11.A8.8B4.B.2B20.7B16.2BA8B.B2A
21.A10.4B11.A8.8B4.B.2B20.7B16.2BA8B.B2A\$4.A9.4B8.3A7.10B.7B17.BA6B
23.4B28.A9.4B8.3A7.10B.7B17.BA6B19.8B2.BA.A22.A9.4B8.3A7.10B.7B17.BA
6B19.8B2.BA.A\$3.2A10.4B6.A7.B.19B16.BABA7B3.B18.4B26.2A10.4B6.A7.B.
19B16.BABA7B3.B13.3B2.4B4.A21.2A10.4B6.A7.B.19B16.BABA7B3.B13.3B2.4B
4.A\$16.4B5.2A5.22B2.2B2.3B6.3B2A8B.B2A18.4B38.4B5.2A5.22B2.2B2.3B6.3B
2A8B.B2A10.5B3.4B3.2A33.4B5.2A5.22B2.2B2.3B6.3B2A8B.B2A10.5B3.4B3.2A\$
17.4B.5B5.22B.8B5.16B2A19.4B38.4B.5B5.22B.8B5.16B2A10.2AB6.4B38.4B.5B
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38.7B6.37B2A15B12.A8.4B\$19.7B5.37B2A11B2.B23.4B38.7B5.37B2A11B2.B10.
3A10.4B38.7B5.37B2A11B2.B10.3A10.4B\$20.6BAB3.49B28.4B10.2A26.6BAB3.
49B14.A13.4B10.2A26.6BAB3.49B14.A13.4B10.2A\$14.B3.7BABAB2.22B.15B2.6B
32.4B9.A21.B3.7BABAB2.22B.15B2.6B32.4B9.A21.B3.7BABAB2.22B.15B2.6B32.
4B9.A\$13.2AB.8B2A26B.15B2.8B31.4B10.A18.2AB.8B2A26B.15B2.8B31.4B10.A
18.2AB.8B2A26B.15B2.8B31.4B10.A\$13.2A38B.15B3.B4.2A25.2A5.4B5.5A18.2A
38B.15B3.B4.2A25.2A5.4B5.5A18.2A38B.15B3.B4.2A25.2A5.4B5.5A\$14.15B2A
22B.15B2.2A4.A3.A23.A5.4B4.A24.15B2A22B.15B2.2A4.A3.A23.A5.4B4.A24.
15B2A22B.15B2.2A4.A3.A23.A5.4B4.A\$15.B2.11B2A.37B2.A6.4A23.A.AB.7B2.B
3A22.B2.11B2A.37B2.A6.4A23.A.AB.7B2.B3A22.B2.11B2A.37B2.A6.4A23.A.AB.
7B2.B3A\$19.11B2.37B3.3A31.2AB.7B3.2B.A25.11B2.37B3.3A31.2AB.7B3.2B.A
25.11B2.37B3.3A31.2AB.7B3.2B.A\$22.6B5.36B5.A5.4A11.2A6.A4.12B4A28.6B
5.36B5.A5.4A11.2A6.A4.12B4A28.6B5.36B5.A5.4A11.2A6.A4.12B4A\$20.8B6.
35B11.A3.A5.2B2.B2AB4.A.A3.7B2A3BAB2.2A24.8B6.35B11.A3.A5.2B2.B2AB4.A
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8.A11.10B9.A8.A50.15B.15B8.A11.10B9.A8.A\$38.31B8.3A9.11B9.3A56.31B8.
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21B2.2A2.2A.2A55.15B.18B9.21B2.2A2.2A.2A\$38.15B.19B7.2B2A18B2.A.A2.A.
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38.15B.15B9.6B3.A8.7B3.B2AB3A55.15B.15B9.6B3.A8.7B3.B2AB3A55.15B.15B
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38.15B.18B18.2A5.2B2A6B61.15B.18B18.2A5.2B2A6B61.15B.18B18.2A5.2B2A6B
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10.A5.16B.2B55.15B.15B5.4B10.A5.16B.2B55.15B.15B5.4B10.A5.16B.2B\$38.
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65.15B.15B10.8B2.4B6.4B65.15B.15B10.8B2.4B6.4B\$38.15B.15B8.15B5.A3B
67.15B.15B8.15B5.A3B67.15B.15B8.15B5.A3B\$38.15B.15B8.14B5.A.AB68.15B.
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2.A.A.A.A.2A76.15B.15B10.A2.A.A.A.A.2A76.15B.15B10.A2.A.A.A.A.2A\$38.
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3B5C.5C3BCBC3BC99.C3BCBC3B5C.5C3BCBC3BC99.C3BCBC3B5C.5C3BCBC3BC\$38.4B
3C5B2CB.B2C5B3C4B99.4B3C5B2CB.B2C5B3C4B99.4B3C5B2CB.B2C5B3C4B\$38.BC2B
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3BC11B.11BC3B99.3BC11B.11BC3B99.3BC11B.11BC3B\$38.15B.15B99.15B.15B99.
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\$38.15B.15B99.15B.15B99.15B.15B\$38.15B.15B99.15B.15B99.15B.15B\$38.15B
.15B99.15B.15B99.15B.15B\$38.15B.15B99.15B.15B99.15B.15B\$38.15B.15B99.
15B.15B99.15B.15B\$38.15B.15B99.15B.15B99.15B.15B\$38.15B.15B99.15B.15B
99.15B.15B\$38.15B.15B99.15B.15B99.15B.15B\$38.15B.15B99.15B.15B99.15B.
15B\$38.15B.15B99.15B.15B99.15B.15B\$38.15B.15B99.15B.15B99.15B.15B\$38.
15B.15B99.15B.15B99.15B.15B\$38.15B.15B99.15B.15B99.15B.15B\$38.15B.15B
99.15B.15B99.15B.15B\$38.15B.15B99.15B.15B99.15B.15B\$38.15B.15B99.15B.
15B99.15B.15B\$38.15B.15B99.15B.15B99.15B.15B\$38.15B.15B99.15B.15B99.
15B.15B\$38.15B.15B99.15B.15B99.15B.15B\$38.6BA3B3A2B.2B3A3BA6B99.6BA3B
3A2B.2B3A3BA6B99.6BA3B3A2B.2B3A3BA6B\$38.3B2AB5AB2AB.B2AB5AB2A3B99.3B
2AB5AB2AB.B2AB5AB2A3B99.3B2AB5AB2AB.B2AB5AB2A3B\$38.BAB2ABA5BABA.ABA5B
AB2ABAB99.BAB2ABA5BABA.ABA5BAB2ABAB99.BAB2ABA5BABA.ABA5BAB2ABAB\$38.A
3BABA2B.5A.5A.2BABA3BA99.A3BABA2B.5A.5A.2BABA3BA99.A3BABA2B.5A.5A.2BA
BA3BA\$39.3B3A2B3.2AB.B2A3.2B3A3B101.3B3A2B3.2AB.B2A3.2B3A3B101.3B3A2B
3.2AB.B2A3.2B3A3B\$39.A.BAB3A13.3ABAB.A101.A.BAB3A13.3ABAB.A101.A.BAB
3A13.3ABAB.A\$41.AB.2B15.2B.BA105.AB.2B15.2B.BA105.AB.2B15.2B.BA!
#C [[ STEP 5 ]]``````
The old Silver reflector and Callahan G-to-H still come in handy sometimes! But the odds are probably pretty good that a determined search with something like Bellman, or possibly even catalyst/catgl/ptbsearch/CatForce, would turn up a direct elementary converter.

Posts: 1964
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

dvgrn wrote:Or maybe something producing two simultaneous output signals instead of one?
I'm sure loaf factories are few and far between but this is fairly clean and fast:

Code: Select all

``````x = 29, y = 19, rule = LifeHistory
7.2C11.2C\$7.2C11.2C2\$.2C23.2C\$C2.C21.C2.C\$.C.C21.C.C\$2.C23.C5\$3.2A5.
2A5.2A5.2A\$.A3.A3.A2.A3.A2.A3.A3.A\$.A3.A.A.3A5.3A.A.A3.A\$.A5.2A2.3A.
3A2.2A5.A\$.2A.3A15.3A.2A\$.A25.A\$2.A3.A15.A3.A\$3.A2.A15.A2.A!
``````
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

pcallahan
Posts: 508
Joined: April 26th, 2013, 1:04 pm

This is not significant, but it's an elegant and fairly fast synthesis of an HWSS from a glider/still life collision. Is it known?

Code: Select all

``````x = 17, y = 15, rule = B3/S23
bo\$2bo\$3o5\$15b2o\$12bo3bo\$12b4o2\$12b2o\$13bo\$12bo\$12b2o!``````
It came up in an enumeration of similar collisions using patterns generated in lifesrc. For it to be "useful" you'd need a good synthesis for the still life, and obviously there are many ways to get an HWSS.

hkoenig
Posts: 132
Joined: June 20th, 2009, 11:40 am

Long time ago, I did a survey of collisions with a single Glider up to 17 bit objects, and found a few like that--

Code: Select all

``````x=35, y=96
3b2o\$4bo\$3bo\$3b2o\$7b2o\$b4ob2o\$o3bo3bo\$2o7\$b2o20b2o\$o2bo19bobo\$bo2bo20bo2b
o\$2b2obo19bobobo\$4bo2b2o14bobob2o\$bobo3bobo13b2o\$b2o4bo20bo\$28b2o\$27bobo4\$2b
2o\$o2bo\$3o\$26bo\$2b3o21bobo\$bo2bo21b2o\$b2o\$26bo\$3bo20b3o\$3b2o18bo\$2bobo19b
o\$25bo\$24b2o\$26b2obo\$26bob2o3\$4b2o\$4bo\$5bo\$4b2o\$2o\$b2ob4o\$o3bo3bo\$7bobo13b
obo\$8bo15b2o4b2o\$24bo5bobo\$32bo\$23bob2ob4o\$23b2ob2obo3\$6b2o\$b2o2b2o\$o2bo3b
o\$4o2\$2b2o\$3bo\$3o\$o2\$33b2o\$33bo\$34bo\$32bobo\$32b2o\$7b2o21b2o\$o5bo2bo19bobo\$b
2obo2b2o19bobo\$2o2b2obo19bobo\$7bo20bo\$7bobo\$8b2o15b3o\$27bo\$26bo4\$6bo\$6bob
o\$6b2o2\$4b2o\$3bo2bo\$o2bobo\$4ob2o2\$2o\$2o!
``````

pcallahan
Posts: 508
Joined: April 26th, 2013, 1:04 pm

hkoenig wrote:Long time ago, I did a survey of collisions with a single Glider up to 17 bit objects, and found a few like that--
I'm looking at 18 bits in a 9x9 box. EDIT This should be a complete set of collisions with still life constellations of that size that produce a single, clean HWSS. Corrections welcome.

Code: Select all

``````x = 540, y = 530, rule = B3/S23
16\$16bo79bo79bo79bo79bo79bo79bo\$17bo79bo79bo79bo79bo79bo79bo\$15b3o77b
3o77b3o77b3o77b3o77b3o77b3o5\$30b2o77b2o79b2o78b2o83b2o69bo74b2o\$27bo3b
o77bo77bo3bo75bo3bo84bo68bobo3bo69bo4bo\$27b4o79bo76b4o76b4o83bo70bo2bo
bobo69bo2bobo\$109b2o82b2o78bo80b2o70b2o3b2o68b2o3b2o\$27b2o85b2o71b2o4b
2o72b2o3bobo\$28bo85bo73bo79bo4bo76bo3b2o75b2o73b2o\$27bo82b2o4bo70bo79b
o81bobobobo75bo74bo\$27b2o80bo2bo2b2o70b2o78b2o79bobo3bo78bo74bo\$110b2o
237bo82b2o73b2o65\$16bo79bo79bo79bo79bo79bo79bo\$17bo79bo79bo79bo79bo79b
o79bo\$15b3o77b3o77b3o77b3o77b3o77b3o77b3o5\$37b2o66bo81b2o83b2o71bo86b
2o2b2o66b2o\$38bo60b2o3bobo81bo84bo65b2o3bobo84bobo2b2o67bo2b2o\$36bo63b
o4bo82bob2o79bo68bo4bo86bo72bobobo\$36b2o60bo90bobo2b2o75b2o65bo167bo\$
98b2o94b2o142b2o94bo\$31bo4b2o61bo2b2o162b2o3b2o66bo93bobobo66bo\$30bobo
2bobo60bo3b2o87b2o73bo3bobo66bob2o90bo2b2o65bobo2b2o\$30bo2bo2bo61b2o
91bobo73bo3bo66b2ob2o89b2o70b2o2b2o\$31b2o159bo73b2o65\$16bo79bo79bo79bo
79bo80bo78bo\$17bo79bo79bo79bo79bo80bo78bo\$15b3o77b3o77b3o77b3o77b3o78b
3o76b3o5\$22bo82bo90bo70b2o3b2obo72b2ob2o63bo3b2o90bo\$21bobo75b2o3bobo
83b2o3bobo69b2o2bo2b2o70bo2b2obo62bobobo2bo88bobo\$20bobo77bo4bo84bobo
3bo74b2o73b2o68bo3b2o89b2o\$21bo76bo93bo\$98b2o91bo316b2o4b2o\$22bo76bo2b
2o86bo6bo70b2o78b2o68b2o88bobo2bo2bo\$21bobob2o72bobobo86b2o4bobo69bobo
76bo2bo66bo2bo88bo2bo2bo\$22b2obo2bo71bo95b2o71b2o76bo2bo65bo2bo93b2o\$
27b2o319b2o67b2o65\$16bo79bo79bo79bo79bo79bo79bo\$17bo79bo79bo79bo79bo
79bo79bo\$15b3o77b3o77b3o77b3o77b3o77b3o77b3o5\$30b2o83b2o71b2ob2o73b2o
80b2obo74b2o71b2o4bo\$30bobo81bobo69bo2b2o2bo72b2o78bo2b2obo72bobo71bob
o2bobo\$31bo78b2obo72b2o4b2o152b2o4bo73bo73bo3bobo\$27bo80bo2b2o239b2o
151bo\$26bobo79b2o154b2o156bo6bo\$27b2o4b2o153b2o73bo2bob2o78b2o71bobo3b
3o70b2o\$32bobo153b2o73bo2bob2o78b2o72bo3bo73bobobo\$32bo77b2o152b2o159b
obo75b2o\$31b2o77b2o313b2o65\$16bo79bo79bo79bo81bo77bo79bo\$17bo79bo79bo
79bo81bo77bo79bo\$15b3o77b3o77b3o77b3o79b3o75b3o77b3o5\$18b2o78b2o85bo
72b2o80bob2o84b2ob2o75b2ob2o\$19bo79bo79bob2obobo72bo3bo76b2obo82bo2b2o
bo73bo2b2o2bo\$17bo4b2o73bo4b2o75b2obob2o71bo4bobo161b2o78b2o4b2o\$17b2o
3bobo72b2o3bobo152b2o3bobo71bo\$18bo4bo74bo4bo154bo4bo71bobo\$17bo79bo
85b2o71bo78b2o91b2obo75b2o\$16bo79bo85bobo71b2o169bo2b2o74bo2bo\$16bobo
78b3o82bo155b2obo85b2o78b2o\$17b2o80bo81b2o155bob2o65\$16bo81bo80bo76bo
79bo79bo79bo\$17bo81bo80bo76bo79bo79bo79bo\$15b3o79b3o78b3o74b3o77b3o77b
3o77b3o5\$19bo80bo78b2obo85b2obo87bob2o66bo74b2o\$18bobo78bobo77bob2o83b
o2b2obo86b2obo65bobob2o69bobo\$17bobo80bobo73bo89b2o4bo156b2obobo68b2o\$
18bo82bo73bobo94b2o160bo73b2o\$176bobo3b2o250b2o72bo2bo\$17bo84bo74b2o3b
2o326b2o\$16bobo4b2o70b2o4bobo162bo164bo73b2o\$17bobo2bobo70bobo2bobo
162bobo86b2obob2o69bobo72bobo\$18b2o3bo72bo3b2o164bo87b2ob2obo70bo74b2o
65\$16bo\$17bo\$15b3o5\$24b2o\$24bobo\$21bo3bo\$20bobo\$21b2o\$26b2o\$25bo2bo\$
26b2o!``````
There are a lot of other LWSS and MWSS syntheses.

ADDED: there are 29 collisions that produce 4 gliders and no ash. Some of the constellations are Spartan-looking. E.g.

Code: Select all

``````x = 169, y = 39, rule = B3/S23
7\$80bo\$22bo58bo45bo\$23bo55b3o46bo\$21b3o102b3o4\$88b2o\$26b2o59bobo3b2o
51b2o\$25bobo60bo3bobo50bo2bo\$25b2o3bo62bo51bo2bo\$29bobo114b2o\$29b2o\$
87b2o61b2o\$25bo61bobo55bo3bobo\$24bobo61b2o54bobo3bo\$25bo118b2o!
``````
Nothing really surprising, since you would have to synthesize these somehow.

simsim314
Posts: 1766
Joined: February 10th, 2014, 1:27 pm

pcallahan wrote:I'm looking at 18 bits in a 9x9 box.
How do you generate a list of such SLs?

pcallahan
Posts: 508
Joined: April 26th, 2013, 1:04 pm

simsim314 wrote:
pcallahan wrote:I'm looking at 18 bits in a 9x9 box.
How do you generate a list of such SLs?
I used David Bell's lifesrc with these parameters:

./lifesrc -r9 -c9 -g1 -mt18 -uc1 -ur1 -o out.txt

That produced all 18-cell constellations fitting in a 9x9 box. Then I ran some custom python scripts to pack the picture representations into one-line strings and put them into canonical form based on symmetry (the lexically first string of all the orientations). I used that file (with 756525 patterns each on one line) to start doing collisions. I don't fully trust gencols at this point, so I wrote another python script for setting up only glider collisions.

Anyway, my attempt was to check exhaustively. I may have made a mistake.

And... again I find that there are only two still lifes of this size (biloaf and 3-block shifter) that restore themselves after a glider collision that emits at least one glider or spaceship.

Code: Select all

``````x = 21, y = 8, rule = B3/S23
2o16b2o\$2o15bo2bo\$17bobo\$15b2obo\$14bo2bo\$14bobo\$2o5b2o6bo\$2o5b2o!``````
Next, I will see if there are longer cycles. (EDIT: no, there are not, at least sticking to this size.)

mniemiec
Posts: 1113
Joined: June 1st, 2013, 12:00 am

pcallahan wrote:This should be a complete set of collisions with still life constellations of that size that produce a single, clean HWSS. Corrections welcome. ...
Two of the above collisions provide slightly cheaper ways to edge-shoot a HWSS, which reduce the incremental cost of adding an HWSS to one existing flotilla from 12 gliders to 11 or 10. My original 12-glider block+tub construction also works for the two other difficult cases (one of which is the opposite side of the same flotilla); unfortunately, these two new collisions don't work in the other two cases. All other cases that involve edge-shooting an additional HWSS can be accomplished by one of the basic 4-glider methods, or a 9-glider one using a carrier. Unfortunately, the carrier one makes a spaceship that goes through two complete cycles with different backs before forming an true HWSS, making it unsuitable in many cases where the backs of two spaceships rub each other closely.

The 12 could be reduced to 11 if there exists a 3-glider way to make the tub+block constellation; the 10 could be reduced if there is a cheaper way to make the down boat on carrier, or if that plus the loaf or five other similar still-lifes that invoke the same mechanism could be made more cheaply. The 11 could be reduced to 9 if the barge could be made from 3 gliders.

Code: Select all

``````x = 201, y = 117, rule = B3/S23
43bobb3o\$44bobo\$42b3obbo14boo18boo18boo18boo18boo18boo\$63bo19bo19bo19b
o19bo19bo\$61bo19bo19bo19bo19bo19bo\$37bobb3o18boo18boo18boo18boo18boo
18boo\$38bobo110bo\$36b3obbo35bo23boo10bo7boo13bo4boo9boobbo4boo\$78boo
20bobo11bo5bobo12bobobbobo8boobbobobbobo\$77boo22bo10b3oboo3bo13bobbobb
o13bobbobbo\$82boo32bobo17boo18boo\$81bobobo30bo51bo22b3o4bo\$83bobobo79b
3o21bobbobb3o\$85boo79boobo21bo4boobo\$166b3o22bo3b4o\$166b3o22bo3b4o\$
166b3o22bo4b3o\$167boo23bobobboo\$\$40bo\$35bo3bo15boo18boo\$36boob3o12bobb
o16bobbo78bo\$35boo17bobbo16bobbo3bo75boo\$55boo18boobboo38bobo34boo\$80b
oo38boo\$120bo\$122bo15bo19bo\$97bo19bo3bo15bobo17bobo\$96bobo17bobobb3o
12bobo17bobo\$bbo94bo19bo19bo19bo\$bo\$b3o52bo19bo19bo19bo19bo19bo\$22boo
9bo8boo11bobo4boo11bobo4boo11bobo4boo11bobo4boo11bobo4boo11bobo4boo\$bo
19bobo7bobo7bobo12bobobbobo12bobobbobo12bobobbobo12bobobbobo12bobobbob
o12bobobbobo\$boo19bo9boo8bo14boo3bo14boo3bo14boo3bo14boo3bo14boo3bo14b
oo3bo\$obo32b3o\$37bo\$30bo5bo\$30boo\$29bobo\$\$168bo22b3o4bo\$167b3o21bobbo
bb3o\$166boobo21bo4boobo\$166b3o22bo3b4o\$166b3o22bo3b4o\$166b3o22bo4b3o\$
167boo23bobobboo9\$37bobo57bobo57bobo\$38boo58boo58boo\$38bo59bo59bo\$\$42b
o59bo59bo\$42bobo57bobo57bobo\$37boo3boo53boo3boo53boo3boo\$37boo58boo58b
oo\$32bobo57bobo57bobo\$33boo58boo58boo\$33bo8bo50bo8bo50bo8bo\$41bobo57bo
bo57bobo\$35bo6bo52bo6bo52bo6bo\$36boo9b3o27b3o16boo58boo\$35boo9bobbo26b
obbo15boo11bo29bo16boo\$49bo21b3o5bo27b3o21b3o3b3o28bo22b3o4bo\$32bo6bo
5bo3bo21bobbo4bo12bo6bo7boboo20bobbobboboo11bo6bo7b3o21bobbobb3o\$32boo
5boo8bo21bo7bo12boo5boo7b3o20bo6b3o11boo5boo5boobo21bo4boobo\$31bobo4bo
bo5bobo22bo4bobo12bobo4bobo7b3o20bo6b3o10bobo4bobo5b3o22bo3b4o\$71bo3bo
32b3o20bo6b3o25b3o22bo3b4o\$71bo36boo21bo6boo26b3o22bo4b3o\$34b3o35bobo
19b3o35bobo19b3o10boo23bobobboo\$36bo59bo59bo\$35bo59bo59bo20\$160bobo\$
161boo5bo29bo\$161bo5b3o21b3o3b3o\$167boboo20bobbobboboo\$155bo5boo5b3o
20bo6b3o\$153bobo6bo5b3o20bo3bobb3o\$154boo4bo7boo21bo6boo\$160boo29bo3bo
\$192bobo\$157boo\$156bobo3boo\$158bobbobo\$163bo3\$151b3o\$153bo\$152bo!
``````
There are a lot of other LWSS and MWSS syntheses.
Edge-shooting a LWSS or MWSS is usually easy (3-4 gliders), but there are a few cases where adding a MWSS to an existing collision is more complicated, requiring an 8-glider mechanism, so it's possible that some natural methods might be cheaper.

Code: Select all

``````x = 160, y = 21, rule = B3/S23
9bo49bo\$9bobo47bobo\$9boo48boo\$119bo\$119bobo\$3o11bobo13b3o31bobo52boo\$o
bbo3boo5boo9bo4bobbo23boo5boo9bo\$o6bobo5bo7boo5bo6bo19bobo5bo7boo12bo\$
o3bo3bobo13boo4bo5b3o11b3o5bobo13boo4b3o3b3o16bo4b3o11bobo18bo4b3o\$o3b
o4bo20bo5boboo10bobbo5bo20bobbobboboo14b3o3bobbo3boo5boo9bo8b3o3bobbo\$
o15bo13bo6b3o10bo15bo13bo6b3o13boobo3bo6bobo5bo7boo8boobo3bo6bo\$bobo
11bo15bo5b3o10bo3bo10bo14bo3bobb3o13b3o4bo3bo3bobo13boo7b3o4bo5b3o\$11b
oobb3o19boo11bo3bo6boobb3o12bo6boo15boo4bo3bo4bo24boo4bo5boboo\$11bobo
36bo10bobo16bo3bo24boo15bo22boo6b3o\$11bo39bobo7bo19bobo25boo14bo23boo
6b3o\$110bobo8boobb3o22boo5boo\$121bobo\$110boo9bo\$\$149bo\$149bo!
``````