## Blockic splitters

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
137ben
Posts: 343
Joined: June 18th, 2010, 8:18 pm

### Re: Blockic splitters

The (26+n):2n proof-of-concept, as knightlife says, is maybe "cheating a little and not entirely satisfying". I don't think it's cheating exactly,
I'm not sure why you are calling it a "proof-of-concept" when it works as presented and explicitly constructs a splitter with a glider to block ratio greater than 2-eps for all eps>0...
but it's not a good solution for the original problem, which really needs as-few-as-possible blocks producing as-many-as-possible gliders.
Oh, I see where this is coming from, now. I was more interested in discovering what output ratios are possible with blockic splitters, while you are interested primarily in applications to a specific construction.
(I should probably note that I am a mathematician, not an engineer...)

At any rate, it should be possible to construct a blockic splitter with arbitrarily high glider-to-block ratios, provided that we also have access to a blockic pattern which reflects a glider 90 degrees and is destroyed at the same time (a blockic reflector):
First, a single splitter splits the initial glider into two heading in opposite directions (and possibly extra). Glider A travels far away from the initial reaction. Glider B heads to the main reaction. Glider B is split into a bunch of gliders, which are positioned via reflectors to synthesize a Gosper glider gun (while it is unlikely that we could find blockic splitters which produce the exact quantity of gliders needed, extra blocks to eat stray gliders can be added trivially). After an arbitrary amount of time, glider B is reflected back around, and hits a bunch of blocks which release a sequence of gliders which destroy the glider gun (actually, is there a known glider-destruction for a Gosper glider gun?)

In fact, given that what adds gliders to the output is the distance between the reflectors which turn B around and the rest of the pattern, the number of gliders in the output can be increased arbitrarily high without the starting population exceeding some natural number N. Thus arbitrarily high output ratios are possible.

Now that that is settled, the only remaining interesting part of this problem is optimization. The above outline would be extremely difficult to make without using an obscenely high number of blocks and an enormous space for the construction/destruction. So the next thing in my mind concerning blockic splitters is...exactly what you have been doing ...

....
so yea.

dvgrn
Moderator
Posts: 5874
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: Blockic splitters

137ben wrote:...it should be possible to construct a blockic splitter with arbitrarily high glider-to-block ratios,...
Did you take a look at the last pattern in this posting? I think we've got 1:N blocks to gliders for any N and a finite number of blocks, just by reburning fuses.

But the fixed-number-of-blocks method that you outline is really fairly straightforward; in fact it's probably easier than cleaning up the ends of a reburnable fuse. I'd be happy to build any of the variants described here, given the funding: four figures would be plenty, but unfortunately I haven't found anywhere I can apply for B3/S23 research grants...

The Gosper-gun design wouldn't end up being much if any bigger than that Blockic loafer seed, not counting the delay mechanism. -- Oh, and you could use a 90-degree twice-burnable fuse to get a longer delay for half the price!

Code: Select all

``````#C Blockic multi-use glider turner
x = 137, y = 126, rule = B3/S23
83b2o\$79b2o2b2o\$79b2o8b2o\$89b2o50\$bo\$2bo\$3o2\$11b2o\$11b2o4\$15b2o\$15b2o
5\$134b2o\$134b2o3\$135b2o\$135b2o5\$133b2o\$133b2o43\$57b2o\$57b2o8b2o\$63b2o
2b2o\$63b2o!``````
137ben wrote:...provided that we also have access to a blockic pattern which reflects a glider 90 degrees and is destroyed at the same time (a blockic reflector)...(while it is unlikely that we could find blockic splitters which produce the exact quantity of gliders needed, extra blocks to eat stray gliders can be added trivially)
There are plenty of Blockic turners and splitters lying around these days, so we can easily produce exactly as many gliders as we want. The smallest turner, two blocks, is shown in the above pattern; there are many more in the loafer seed and in Golly's Life/Syntheses/blockic-and-blockish-seeds.rle.
137ben wrote:(actually, is there a known glider-destruction for a Gosper glider gun?)
Yup, all taken care of in knightlife's original posting on the subject, with some more recent improvements [top pattern].

knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

### Re: Blockic splitters

Blockic seed with 5 blocks produces an LWSS and 4 gliders:

Code: Select all

``````x = 40, y = 36, rule = LifeHistory
5.A\$6.A\$4.3A15\$2A\$2A2\$17.2A\$17.2A5\$18.D19.2A\$16.D.D19.2A\$16.3D\$16.D4\$
33.2A\$18.2A13.2A\$18.2A!
``````
The Herschel reaction that allows this is H + 3b4 ---> LWSS + 3G

dvgrn
Moderator
Posts: 5874
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: Blockic splitters

knightlife wrote:I am removing the 12 glider limit, let's see how extreme the ratio can get with up to 10 blocks to start
So far the best ratio in the table is 13/9 = 1.444 gliders per block average.
Okay, here's an 8:12 that might have some room for further improvement. This showed up after just a few minutes of testing out the Seeds of Destruction Game sandbox... 1.5 gliders per block!

Code: Select all

``````x = 38, y = 72, rule = B3/S23
5b2o\$5b2o\$26b2o\$26b2o6\$31b2o\$31b2o21\$26b2o\$26b2o7\$24b2o\$24b2o21\$29b2o\$
29b2o2\$35b3o\$35bo\$2o34bo\$2o3\$31b2o\$31b2o!``````
It's based on a 5:10 that's just one leftover block away from a 1:2 ratio... A block can be added in a couple of places to tease another glider out without changing anything else, which gets you to 9:13 or 10:14 --

Code: Select all

``````x = 58, y = 88, rule = B3/S23
5b2o\$5b2o\$26b2o\$26b2o6\$31b2o\$31b2o21\$26b2o\$26b2o7\$24b2o\$24b2o21\$29b2o\$
29b2o4\$2o\$2o3\$31b2o16b2o\$31b2o16b2o13\$55b3o\$55bo\$17b2o37bo\$17b2o!``````
Seems like it might be worth doing a fresh search with just the first three or four blocks, to see if there's a cleaner suppression -- or maybe there's a block re-use trick that I'm not quite thinking of. Here's a 10:17 almost clean splitter, for example, with that same single leftover block to spoil everything:

Code: Select all

``````x = 111, y = 84, rule = B3/S23
21\$56b2o\$56b2o7\$54b2o36b2o\$54b2o36b2o2\$16bo\$14bobo13b2o\$15b2o13b2o67b
2o\$99b2o13\$27b2o\$27b2o2\$59b2o\$59b2o3\$101b2o\$101b2o4\$61b2o\$61b2o11\$23b
2o\$23b2o!``````

knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

### Re: Blockic splitters

Updated table of splitters:

Code: Select all

``````x = 2477, y = 955, rule = LifeHistory
2.4A2.4A2.4A20.4A2.4A2.4A67.2A580.4A2.4A2.4A20.4A8.4A\$2.A2.A2.A2.A2.A
2.A20.A2.A2.A2.A2.A2.A67.2A580.A2.A2.A2.A2.A2.A20.A2.A8.A2.A61.A\$2.A
2.A2.A2.A2.A2.A20.A2.A2.A2.A2.A2.A649.A2.A2.A2.A2.A2.A20.A2.A8.A2.A
62.A\$2.4A2.4A2.4A20.4A2.4A2.4A649.4A2.4A2.4A20.4A8.4A60.3A3\$14.4A8.4A
20.4A103.2A556.4A8.4A8.4A8.4A\$14.A2.A8.A2.A20.A2.A103.2A556.A2.A8.A2.
A8.A2.A8.A2.A\$14.A2.A8.A2.A20.A2.A661.A2.A8.A2.A8.A2.A8.A2.A\$14.4A8.
4A20.4A661.4A8.4A8.4A8.4A\$325.2A\$325.2A\$2.4A2.4A2.4A20.4A2.4A2.4A649.
4A2.4A2.4A20.4A2.4A2.4A\$2.A2.A2.A2.A2.A2.A20.A2.A2.A2.A2.A2.A302.2A
345.A2.A2.A2.A2.A2.A20.A2.A2.A2.A2.A2.A\$2.A2.A2.A2.A2.A2.A20.A2.A2.A
2.A2.A2.A302.2A345.A2.A2.A2.A2.A2.A20.A2.A2.A2.A2.A2.A\$2.4A2.4A2.4A
20.4A2.4A2.4A202.2A445.4A2.4A2.4A20.4A2.4A2.4A\$116.2A33.2A103.2A83.2A
\$116.2A33.2A108.3A7.2A68.2A476.D19.2A\$14.4A8.4A20.4A207.A9.2A442.4A8.
4A20.4A62.D.D19.2A\$14.A2.A8.A2.A20.A2.A208.A452.A2.A8.A2.A20.A2.A62.
3D\$14.A2.A8.A2.A20.A2.A186.2A106.3A364.A2.A8.A2.A20.A2.A62.D\$14.4A8.
4A20.4A64.2A33.2A85.2A106.A366.4A8.4A20.4A\$118.A.A32.A.A193.A\$118.A
34.A\$2.4A2.4A2.4A20.4A2.4A2.4A649.4A2.4A2.4A32.4A79.2A\$2.A2.A2.A2.A2.
A2.A20.A2.A2.A2.A2.A2.A649.A2.A2.A2.A2.A2.A32.A2.A79.2A\$2.A2.A2.A2.A
2.A2.A20.A2.A2.A2.A2.A2.A649.A2.A2.A2.A2.A2.A32.A2.A58.2A\$2.4A2.4A2.
4A20.4A2.4A2.4A649.4A2.4A2.4A32.4A58.2A4\$118.2A33.2A\$118.2A33.2A26\$
256.2A\$256.2A\$261.3A7.2A\$261.A9.2A\$262.A2\$246.2A\$246.2A65\$234.2A\$234.
2A\$341.2A\$341.2A\$107.2A132.3D\$107.2A133.D\$242.3D103.3D98.2A\$349.D99.
2A\$114.3D232.3D\$115.D\$115.3D117.2A219.3D101.A\$235.2A220.D101.A\$457.3D
99.3A\$544.2A\$340.2A202.2A\$2.4A8.4A20.4A8.4A286.2A\$2.A2.A8.A2.A20.A2.A
8.A2.A\$2.A2.A8.A2.A20.A2.A8.A2.A395.2A\$2.4A8.4A20.4A8.4A395.2A99.3D\$
108.2A440.D.D\$108.2A440.D.D\$2.4A8.4A8.4A8.4A8.4A508.2A\$2.A2.A8.A2.A8.
A2.A8.A2.A8.A2.A508.2A\$2.A2.A8.A2.A8.A2.A8.A2.A8.A2.A497.2A\$2.4A8.4A
8.4A8.4A8.4A185.2A310.2A\$239.2A\$346.2A\$2.4A2.4A2.4A20.4A2.4A2.4A292.
2A\$2.A2.A2.A2.A2.A2.A20.A2.A2.A2.A2.A2.A58.2A\$2.A2.A2.A2.A2.A2.A20.A
2.A2.A2.A2.A2.A58.2A\$2.4A2.4A2.4A20.4A2.4A2.4A400.2A97.3D\$454.2A99.D\$
554.3D\$14.4A8.4A20.4A\$14.A2.A8.A2.A20.A2.A\$14.A2.A8.A2.A20.A2.A508.2A
\$14.4A8.4A20.4A508.2A3\$14.4A32.4A187.2A\$14.A2.A32.A2.A187.2A\$14.A2.A
32.A2.A294.2A\$14.4A32.4A294.2A\$114.2A\$114.2A\$456.2A\$456.2A7\$264.3A\$
264.A\$265.A105.3A\$371.A\$137.3A232.A\$137.A\$138.A340.3A\$479.A\$480.A77\$
235.2A\$235.2A2\$836.D\$234.2A584.2A14.D.D\$234.2A584.2A14.3D\$838.D2\$2.4A
2.4A2.4A20.4A2.4A2.4A649.4A2.4A2.4A20.4A2.4A2.4A577.4A2.4A2.4A18.4A2.
4A2.4A\$2.A2.A2.A2.A2.A2.A20.A2.A2.A2.A2.A2.A649.A2.A2.A2.A2.A2.A20.A
2.A2.A2.A2.A2.A577.A2.A2.A2.A2.A2.A18.A2.A2.A2.A2.A2.A\$2.A2.A2.A2.A2.
A2.A20.A2.A2.A2.A2.A2.A649.A2.A2.A2.A2.A2.A20.A2.A2.A2.A2.A2.A386.A
190.A2.A2.A2.A2.A2.A18.A2.A2.A2.A2.A2.A\$2.4A2.4A2.4A20.4A2.4A2.4A649.
4A2.4A2.4A20.4A2.4A2.4A61.2A322.A191.4A2.4A2.4A18.4A2.4A2.4A54.2A\$
816.2A23.2A297.3A293.2A\$841.2A\$2.4A20.4A8.4A661.4A20.4A8.4A589.4A20.
4A18.4A\$2.A2.A20.A2.A8.A2.A661.A2.A20.A2.A8.A2.A203.2A94.2A102.2A184.
A2.A20.A2.A18.A2.A\$2.A2.A20.A2.A8.A2.A661.A2.A20.A2.A8.A2.A203.2A94.
2A102.2A184.A2.A20.A2.A18.A2.A\$2.4A20.4A8.4A661.4A20.4A8.4A589.4A20.
4A18.4A\$109.2A\$109.2A125.2A900.3D\$2.4A2.4A2.4A20.4A2.4A2.4A182.2A465.
4A2.4A2.4A20.4A2.4A2.4A384.D192.4A2.4A2.4A30.4A\$2.A2.A2.A2.A2.A2.A20.
A2.A2.A2.A2.A2.A649.A2.A2.A2.A2.A2.A20.A2.A2.A2.A2.A2.A382.3D192.A2.A
2.A2.A2.A2.A30.A2.A60.2A\$2.A2.A2.A2.A2.A2.A20.A2.A2.A2.A2.A2.A649.A2.
A2.A2.A2.A2.A20.A2.A2.A2.A2.A2.A577.A2.A2.A2.A2.A2.A30.A2.A60.2A\$2.4A
2.4A2.4A20.4A2.4A2.4A649.4A2.4A2.4A20.4A2.4A2.4A66.2A509.4A2.4A2.4A
30.4A\$117.2A702.2A\$117.2A927.2A\$14.4A8.4A20.4A661.4A8.4A8.4A8.4A291.
2A296.4A8.4A18.4A\$14.A2.A8.A2.A20.A2.A661.A2.A8.A2.A8.A2.A8.A2.A589.A
2.A8.A2.A18.A2.A\$14.A2.A8.A2.A20.A2.A661.A2.A8.A2.A8.A2.A8.A2.A589.A
2.A8.A2.A18.A2.A\$14.4A8.4A20.4A661.4A8.4A8.4A8.4A191.2A396.4A8.4A18.
4A42.2A\$946.2A476.2A2\$2.4A2.4A2.4A20.4A2.4A2.4A45.2A602.4A2.4A2.4A20.
4A2.4A2.4A577.4A2.4A2.4A30.4A\$2.A2.A2.A2.A2.A2.A20.A2.A2.A2.A2.A2.A
45.2A158.3A441.A2.A2.A2.A2.A2.A20.A2.A2.A2.A2.A2.A273.2A302.A2.A2.A2.
A2.A2.A30.A2.A\$2.A2.A2.A2.A2.A2.A20.A2.A2.A2.A2.A2.A205.A443.A2.A2.A
2.A2.A2.A20.A2.A2.A2.A2.A2.A273.2A302.A2.A2.A2.A2.A2.A30.A2.A66.2A\$2.
4A2.4A2.4A20.4A2.4A2.4A206.A442.4A2.4A2.4A20.4A2.4A2.4A577.4A2.4A2.4A
30.4A66.2A\$1152.2A274.D34.2A\$123.2A803.2A222.2A274.3D32.2A\$123.2A698.
2A103.2A122.2A374.D.D24.3A\$103.D34.2A683.2A227.2A376.D24.A\$103.3D32.
2A892.D34.2A34.2A19.D331.A\$103.D.D24.3A899.3D32.2A34.2A19.D.D\$105.D
24.A821.2A78.D.D24.3A62.3D\$131.A820.2A80.D24.A66.D\$932.D34.2A91.A72.
2A\$214.2A716.3D32.2A164.2A\$214.2A716.D.D24.3A\$934.D24.A148.2A\$960.A
147.2A3\$241.2A\$241.2A603.3A\$846.A\$847.A66\$1459.2A\$1459.2A\$816.2A\$703.
4A2.4A2.4A20.4A2.4A2.4A61.2A514.4A2.4A2.4A18.4A2.4A2.4A\$703.A2.A2.A2.
A2.A2.A20.A2.A2.A2.A2.A2.A82.2A493.A2.A2.A2.A2.A2.A18.A2.A2.A2.A2.A2.
A69.3D\$703.A2.A2.A2.A2.A2.A20.A2.A2.A2.A2.A2.A82.2A72.2A419.A2.A2.A2.
A2.A2.A18.A2.A2.A2.A2.A2.A70.D\$703.4A2.4A2.4A20.4A2.4A2.4A45.A110.2A
419.4A2.4A2.4A18.4A2.4A2.4A68.3D\$801.A\$799.3A\$703.4A21.4A19.4A577.4A
19.4A7.4A8.4A\$703.A2.A21.A2.A19.A2.A192.2A383.A2.A19.A2.A7.A2.A8.A2.A
\$703.A2.A21.A2.A19.A2.A87.2A103.2A383.A2.A19.A2.A7.A2.A8.A2.A\$703.4A
21.4A19.4A87.2A488.4A19.4A7.4A8.4A\$450.A\$449.A\$449.3A251.4A2.4A2.4A
32.4A577.4A2.4A2.4A18.4A2.4A2.4A\$703.A2.A2.A2.A2.A2.A32.A2.A577.A2.A
2.A2.A2.A2.A18.A2.A2.A2.A2.A2.A\$103.A599.A2.A2.A2.A2.A2.A32.A2.A577.A
2.A2.A2.A2.A2.A18.A2.A2.A2.A2.A2.A\$104.A134.A463.4A2.4A2.4A32.4A577.
4A2.4A2.4A18.4A2.4A2.4A62.2A\$102.3A135.A1203.2A\$238.3A110.2A\$351.2A
64.2A284.4A8.4A9.4A19.4A577.4A8.4A7.4A7.4A8.4A\$417.2A284.A2.A8.A2.A9.
A2.A19.A2.A68.2A507.A2.A8.A2.A7.A2.A7.A2.A8.A2.A\$703.A2.A8.A2.A9.A2.A
19.A2.A68.2A507.A2.A8.A2.A7.A2.A7.A2.A8.A2.A\$341.2A360.4A8.4A9.4A19.
4A577.4A8.4A7.4A7.4A8.4A72.2A\$341.2A1111.2A\$453.2A\$453.2A248.4A2.4A2.
4A32.4A172.D404.4A2.4A2.4A18.4A2.4A2.4A\$703.A2.A2.A2.A2.A2.A32.A2.A
148.A23.D.D402.A2.A2.A2.A2.A2.A18.A2.A2.A2.A2.A2.A\$703.A2.A2.A2.A2.A
2.A32.A2.A63.2A73.2A9.A22.3D402.A2.A2.A2.A2.A2.A18.A2.A2.A2.A2.A2.A\$
222.2A479.4A2.4A2.4A32.4A63.2A73.2A7.3A24.D402.4A2.4A2.4A18.4A2.4A2.
4A\$210.2A10.2A573.2A109.2A\$210.2A585.2A109.2A526.2A\$2.4A2.4A2.4A20.4A
2.4A2.4A301.2A591.2A486.2A\$2.A2.A2.A2.A2.A2.A20.A2.A2.A2.A2.A2.A301.
2A591.2A\$2.A2.A2.A2.A2.A2.A20.A2.A2.A2.A2.A2.A\$2.4A2.4A2.4A20.4A2.4A
2.4A867.2A\$921.2A537.2A\$214.D21.2A1222.2A\$2.4A20.4A8.4A172.3D19.2A
1202.D34.2A\$2.A2.A20.A2.A8.A2.A172.D.D1223.3D32.2A\$2.A2.A20.A2.A8.A2.
A174.D120.2A1101.D.D24.3A\$2.4A20.4A8.4A76.2A113.2A102.2A1103.D24.A\$
118.2A16.2A95.2A177.2A19.D1034.A\$136.2A134.2A138.2A19.D.D\$2.4A2.4A2.
4A20.4A2.4A2.4A218.2A159.3D\$2.A2.A2.A2.A2.A2.A20.A2.A2.A2.A2.A2.A307.
2A72.D\$2.A2.A2.A2.A2.A2.A20.A2.A2.A2.A2.A2.A307.2A\$2.4A2.4A2.4A20.4A
2.4A2.4A287.D34.2A\$341.3D32.2A\$131.2A208.D.D24.3A46.2A\$2.4A8.4A8.4A8.
4A8.4A77.2A134.2A74.D24.A48.2A\$2.A2.A8.A2.A8.A2.A8.A2.A8.A2.A213.2A
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354.2A\$684.4A10.4A8.4A8.4A8.4A16.4A557.4A10.4A8.4A8.4A8.4A22.4A34.D
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8.A2.A8.A2.A22.A2.A34.3D160.D.D161.A2.A10.A2.A8.A2.A8.A2.A8.A2.A22.A
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98.2A457.4A10.4A8.4A8.4A8.4A22.4A36.D22.2A138.D161.4A10.4A8.4A8.4A8.
4A22.4A199.D161.4A10.4A8.4A8.4A8.4A10.4A8.4A95.2A\$826.2A626.2A19.2A
96.2A312.2A146.3D\$826.2A647.2A61.3D32.2A122.2A188.2A\$684.4A10.4A8.4A
20.4A16.4A557.4A10.4A8.4A20.4A10.4A2.4A2.4A49.2A92.D4.2A152.2A57.4A
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A225.2A134.A2.A10.A2.A8.A2.A20.A2.A10.A2.A2.A2.A2.A2.A48.A23.D.D\$684.
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134.A2.A10.A2.A8.A2.A20.A2.A10.A2.A2.A2.A2.A2.A38.2A9.A22.3D\$684.4A
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83.4A10.4A8.4A20.4A10.4A2.4A2.4A75.2A163.2A119.4A10.4A8.4A20.4A10.4A
2.4A2.4A38.2A7.3A24.D\$838.2A710.3D44.2A73.D.D236.2A163.2A17.2A233.2A\$
838.2A712.D85.2A32.3D216.D34.2A167.2A233.2A\$684.4A10.4A8.4A8.4A8.4A
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4A22.4A55.3D32.2A269.4A10.4A8.4A8.4A8.4A22.4A\$684.A2.A10.A2.A8.A2.A8.
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2.A8.A2.A8.A2.A22.A2.A\$684.A2.A10.A2.A8.A2.A8.A2.A8.A2.A16.A2.A557.A
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4A8.4A22.4A83.2A\$862.2A668.A28.2A\$877.2A662.2A18.2A\$684.4A10.4A2.4A2.
4A20.4A16.4A119.2A436.4A10.4A2.4A2.4A20.4A10.4A2.4A2.4A146.2A213.4A
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A2.A2.A2.A2.A2.A193.2A46.2A118.A2.A10.A2.A2.A2.A2.A2.A20.A2.A22.A2.A\$
684.A2.A10.A2.A2.A2.A2.A2.A20.A2.A16.A2.A111.A445.A2.A10.A2.A2.A2.A2.
A2.A20.A2.A10.A2.A2.A2.A2.A2.A361.A2.A10.A2.A2.A2.A2.A2.A20.A2.A10.A
2.A2.A2.A2.A2.A193.2A166.A2.A10.A2.A2.A2.A2.A2.A20.A2.A22.A2.A\$684.4A
10.4A2.4A2.4A20.4A16.4A112.A444.4A10.4A2.4A2.4A20.4A10.4A2.4A2.4A361.
4A10.4A2.4A2.4A20.4A10.4A2.4A2.4A361.4A10.4A2.4A2.4A20.4A22.4A\$1454.
2A\$1454.2A645.2A233.2A19.2A\$1927.2A107.2A63.2A233.2A19.2A\$1558.2A367.
2A107.2A43.D34.2A\$1558.2A99.2A420.3D32.2A\$1478.2A179.2A420.D.D24.3A\$
1478.2A603.D24.A\$1458.D34.2A614.A\$1458.3D32.2A\$1458.D.D24.3A\$1460.D
24.A423.2A\$1486.A422.2A431.2A\$2342.2A2\$1665.2A\$1665.2A266.2A\$1933.2A\$
1913.D34.2A\$1913.3D32.2A\$1913.D.D24.3A\$1915.D24.A\$1941.A!
``````
Here is a blockic glider duplicator that makes two gliders on the same track, 62 ticks apart:

Code: Select all

``````x = 24, y = 22, rule = LifeHistory
14.A\$13.A\$13.3A\$3.2A\$3.2A7\$12.2A8.2A\$12.2A8.2A\$4.2A\$2A2.2A12.2A\$2A16.
2A5\$9.2A\$9.2A!
``````

dvgrn
Moderator
Posts: 5874
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: Blockic splitters

knightlife wrote:Here is a blockic glider duplicator that makes two gliders on the same track, 62 ticks apart...
On the Blockic Seeds thread, codeholic just posted one of these with 56-tick separation, using only three blocks:

Code: Select all

``````x = 10, y = 22, rule = LifeHistory
2.2A\$2.2A6\$6.A\$6.A.A\$6.2A\$2A\$2A9\$8.2A\$8.2A!``````
Looks like his gencols run has found all the 3:3 Blockic splitters in the current table -- well, four out of five of them, anyway. I haven't figured out yet whether the fifth one is being excluded because of the initial conditions, which I think were chosen to reduce the number of different orientations of the same reactions. The missing fifth splitter has the same basic output, just a different orientation.

Now I'm re-running gencols to see if it can find the 3:4 splitter -- and more interestingly, if it can find any other 3:4 splitters. (I'm not getting my hopes up about a 3:5 splitter, but I'll run a 25-cell filter just in case!)

codeholic
Moderator
Posts: 1142
Joined: September 13th, 2011, 8:23 am
Location: Hamburg, Germany

### Re: Blockic splitters

The reason why those particular gencols searches didn't find the 5th 3:3 and the 3:4 is that collision with the 3rd block happens after the 80th generation.
Ivan Fomichev

dvgrn
Moderator
Posts: 5874
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: Blockic splitters

codeholic wrote:The reason why those particular gencols searches didn't find the 5th 3:3 and the 3:4 is that collision with the 3rd block happens after the 80th generation.
Yes, adjusting the batch file turns up the missing reactions with no problem. No surprise 3:5 splitters turned up, of course, and no new 3:4 splitters except for an alternate block location that I didn't know about. Might come in handy in cases where the regular block doesn't fit:

Code: Select all

``````x = 30, y = 16, rule = LifeHistory
8.D12.A6.2A\$6.D.D13.A5.2A\$6.3D11.3A\$6.D4\$23.2A\$23.2A6\$2A\$2A!``````

dvgrn
Moderator
Posts: 5874
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: Blockic splitters

knightlife wrote:Updated table of splitters:[/code]
Okay, it's time to fill in that annoying gap in the table at 4:5! The post-processor script for gencols brings this kind of thing within relatively easy reach of a search. This one was an overnight run, and gencols is still running, but something good showed up at line 4009:

G+4B4->5G --

Code: Select all

``````x = 24, y = 11, rule = Life
15bo\$15bobo\$15b2o2\$9b2o8b2o\$9b2o8b2o\$2o\$2o2\$22b2o\$22b2o!``````
Here's the batch file I used for gencols. No doubt it could be tightened up quite a bit without losing very many good results:

Code: Select all

``````gencols -pat obj/block.life obj/glider_sw.life -tc 10 10 > glsplit/g4a.col
gencols -pat glsplit/g4a.col obj/block.life -tc 10 30 > glsplit/g4b.col
gencols -pat glsplit/g4b.col obj/block.life -tc 10 50 > glsplit/g4c.col
gencols -pat glsplit/g4c.col obj/block.life -tc 10 100 -gen 512 -filt a -leq 25 -geq 25 > glsplit/result_4blocks.col
pause``````
I haven't checked for 4:6 splitters yet, or for 3:4s or 4:5s with all the output gliders in the same direction. It's just a matter of re-running the g4c.col file through gencols with a different filter. However, I think the all-in-the-same-direction outputs are getting a lot less likely as the number of gliders increases.

-- Maybe it's worth keeping a copy of the latest splitter table in the first message in this thread, so as not to have to search through multiple pages for the newest version?

codeholic
Moderator
Posts: 1142
Joined: September 13th, 2011, 8:23 am
Location: Hamburg, Germany

### Re: Blockic splitters

dvgrn wrote:

Code: Select all

``````gencols -pat glsplit/g4c.col obj/block.life -tc 10 100 -gen 512 -filt a -leq 25 -geq 25 > glsplit/result_4blocks.col
``````
I think if you had used "-filt ag" then you could also get codirectional gliders without much additional time.
Ivan Fomichev

knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

### Re: Blockic splitters

dvgrn wrote: -- Maybe it's worth keeping a copy of the latest splitter table in the first message in this thread, so as not to have to search through multiple pages for the newest version?
Good idea...

done.