Synthesising Oscillators

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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iNoMed
Posts: 456
Joined: August 29th, 2020, 3:05 pm
Location: Scotland

Re: Synthesising Oscillators

Post by iNoMed » July 22nd, 2022, 5:38 am

9G synthesis, assuming 3G barge and 2G loaf:

Code: Select all

x = 52, y = 31, rule = B3/S23
obo$b2o$bo10$34bobo$34b2o$35bo2$49bo$49bobo$21bo27b2o$20bobo$19bo2bo$
20b2o4$16bobo$17b2o$17bo6bo$23bobo$24bobo$25bo!

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

confocaloid
Posts: 299
Joined: February 8th, 2022, 3:15 pm

Re: Synthesising Oscillators

Post by confocaloid » July 22nd, 2022, 5:58 am

Stepan Babintsev wrote:
July 22nd, 2022, 5:25 am
How much gliders does it costs?

Code: Select all

x = 5, y = 5, rule = B3/S23
bo$obo$o2bo$b2obo$3bo!
It can reduse synthesis for xp3_g31u0oozd543:

Code: Select all

x = 68, y = 36, rule = LifeHistory
26.C$27.C$25.3C17$50.4B2.B$11.D2.A.A2.A26.B.2BC9B$10.D.D2.2A2.A.A23.
3B.CBC9B$9.D2.D2.A.2D2A23.4BC2BC4B2C2B$10.2D5.2D24.4B.B2C5B2CB$42.4B
3.10B$41.4B6.8B$.2A37.4B7.7B$A.A36.4B$2.A10.2D11.A13.2B10.2C11.B$12.D
2.D11.A23.C2.C9.3B$13.D.D9.2ACD23.C.C9.2B2C$14.D.D10.2D24.C.C6.4B2C$
15.D38.C7.3B$22.3A36.4B$24.A36.3B$23.A38.B!
And is there any site (or script) that can do synthesis for pattern (not object)? For example, first pattern is just beehive predecessor.
A 9G synthesis found by searching for that pattern using synthesise-patt.py:

Code: Select all

x = 119, y = 58, rule = LifeHistory
58.A$59.A$57.3A26$14.A.A14.A$15.2A14.A.A82.A.A$15.A15.2A83.2A$117.A3$
17.D78.C$16.D.D76.C.C$15.D2.D4.2D69.C2.C4.2C$16.2D5.2D70.2C5.2C7$33.
2D77.2C$33.2D77.2C$.2A32.2A$A.A32.A.A$2.A32.A$29.2A$28.A.A$30.A2$93.
2A$94.2A$88.2A3.A$89.2A$88.A!
Here is the previous 10G synthesis from Catagolue for reference:

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xp3_g31u0oozd543 costs 10 gliders (true).
#CLL state-numbering golly
x = 112, y = 41, rule = B3/S23
109bo$98bo10bobo$98bobo8b2o$94bo3b2o$95bo$93b3o3$obo9bo$b2o7b2o$bo
9b2o35bo3bo50bo$47bobobobo45b2obobo$4bo42bobob2o44bo2bob2o$4b2o3b
2o37bo48b2obo$3bobo2bobo89bo$10bo86b3o$44bo52bo$45b2o$44b2o3$44b2o
$43bobo$45bo15$60b3o$60bo$61bo!

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iNoMed
Posts: 456
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Location: Scotland

Re: Synthesising Oscillators

Post by iNoMed » July 22nd, 2022, 6:11 am

Combined with my provisional 9G for a complete 8G synthesis:

Code: Select all

x = 54, y = 34, rule = B3/S23
obo$b2o$bo10$36bobo$36b2o$37bo2$51bo$51bobo$51b2o$22bo$21bobo$20bo2bo$
21b2o$33bobo$33b2o$34bo4$28b2o$29b2o$23b2o3bo$24b2o$23bo!

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

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Stepan Babintsev
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Re: Synthesising Oscillators

Post by Stepan Babintsev » July 22nd, 2022, 7:14 am

Now I'm practicing syntheses, I just look through Catagolue census and do some syntheses, so if they are cheaper than on Catagolue I will put them in this post.
1)xp6_w8o0uh224a4z32: 12G -> 10G:

Code: Select all

x = 128, y = 27, rule = LifeHistory
4.D12.2DCA2.2A28.A$3.3D12.A.A.2A27.A.A10.A$2.5D13.A3.A27.2A8.2A$.2D3.
2D49.D5.2A5.3C$2.5D49.3D$3.3D9.2D38.5D61.A$4.D9.D2.D36.2D3.2D58.2A$
15.2D38.5D60.2A$7.3D46.3D9.2C$57.D9.C2.C$7.D.D58.2C$2.3D2.D.D2.3D45.
3D44.3A$20.2A$2D3.D.3D.D3.2D3.A.A37.D.D$D4.D5.D4.D3.A34.3D2.D.D2.3D$
2D2.2D5.2D2.2D108.A$5.D5.D41.2D3.D.3D.D3.2D54.A.A$3.3D5.3D3.A3.D31.D
4.D5.D4.D47.2A6.2A$3.2D7.2D4.2AD.D30.2D2.2DA.A2.2D2.2D46.A2.A5.2A$17.
2A.D.AD34.D.2A2.D42.2A8.2A7.2A$21.2C33.3D.A3.3D7.C31.A2.A13.A3.A$21.A
.A32.2D7.2D6.C.C31.2A14.4A$60.2A11.C2.C$59.2A13.2C47.2A$61.A62.A$121.
A$121.2A!
2)xp3_3lkkljgz32w46074: 10G:

Code: Select all

x = 41, y = 30, rule = LifeHistory
2.A5.A16.2B3.2B$2.DCA.ACD16.2CB.B2C$2.CAD.DAC15.BCBC.CBCB$4.D.D17.3BC
.C3B$4.D.D17.3BC.C3B$2.CAD.DAC15.BCBC.CBCB$2.DCA.ACD16.2CB.B2C$2.A5.A
16.2B3.2B6$2.2D17.3A.2D$.D.D19.AD.D$2D15.2A3.A2D$.2D13.A.A5.2D$18.A3.
2A7.A$22.A.A5.A$22.A7.3A$2.3D20.3D2$29.2A$28.A.A$30.A3$38.3A$38.A$39.
A!
3)xp3_8u1v04cz230346: 14G -> 12G:

Code: Select all

x = 112, y = 35, rule = B3/S23
57bobo$57b2o$58bo3$bo$o48bo14bo$3o47b2o10b2o$49b2o12b2o$86bo$87bo$51b
2o32b3o$39b2o11b2o$39b2o10bo$4b2o78b2o$3bobo78bobo23bo$5bo2b2o75bo9bo
2bo10bo$8bobo27b2o53b6o10b3o$8bo29b2o52bo$92b7o$34b3o62bob2o4b3o$94bo
3b2ob2o$94b2o9bo5bo$105bo5bo$105bo5bo$66b2o$65b2o40b3o$67bo2$53b2o$53b
obo$53bo$49b2o$48bobo$50bo!
4)xp3_0g31u08oz8llc321: 10G:

Code: Select all

x = 47, y = 36, rule = B3/S23
44bobo$44b2o$45bo14$22bo$22bobo$22b2o$20bo$18bobo6bobo$19b2o6b2o$28bo
2$20bo10bo$21bo3bo4b2o$19b3o3bobo2bobo$25b2o$bo$o20b2o$3o17b2o$22bo2$
3b3o$3bo23b2o$4bo22b2o!
5)xp6_6a889b8ozx318c: 13G -> 10G:

Code: Select all

x = 94, y = 17, rule = B3/S23
42b2o$41bobo$43bo3b2o7bobo26bo$47bobo6b2o19bo7bo$47bo9bo17bobo7bo$76b
2o2b2o$4bo75b2o6b2o$5bo39b2o41bo3b2o$3b3o32b2o4b2o39b2obo4bo$38b2o6bo
38bo2bobo$88bob2o$3o56b2o27bo$2bo56bobo24bobo$bo39b2o16bo26b2o$42b2o6b
2o$41bo8bobo$50bo!
Last edited by Stepan Babintsev on July 23rd, 2022, 12:56 pm, edited 3 times in total.

carsoncheng
Posts: 158
Joined: June 11th, 2022, 11:24 pm

Re: Synthesising Oscillators

Post by carsoncheng » July 23rd, 2022, 2:57 am

Fire-spitting in 52G (down from 59G) by reducing the cost of the base object:

Code: Select all

x = 726, y = 101, rule = B3/S23
406bo$404bobo$405b2o3$409bo$410bo$408b3o4$82bo$80bobo$81b2o5$630bo$631b
2o$630b2o15bo$646bo$131b2o4b3o4b2o87bo412b3o$131b2o11b2o85bobo422bo$123b
2o27b2o78b2o400bo15b3o3bobo$116bo5bobo27bobo480bo7bobo4bo5b2o$114bobo
6bo29bo479b3o8b2o5bo$115b2o527bo21bo$666bobo$151bo514b2o$97bo52bobo$95b
obo52bobo$96b2o36bo16bo514bo$132bobo455bo74bo$124bo6bo4bo9b2o7b2o431b
obo3bobo57b2o9b3o$123bobo5b5obo7bo2bo5bo2bo431b2o3b2o33bo23bo2bo$123b
obo9bo2bo7b2o7b2o438bo31bobo23bo2bo$124bo8bo3b2o121bobo365b2o24b2o$133b
2o16bo108b2o443bo$150bobo108bo442bobo9b2o$26bo123bobo165bo43bo92bo135b
o59bo51bo2bo9bobo2bobo$25bo125bo88bo27bo49bobo41bobo88bobo135bobo57bo
bo50b2o14bo2bo$25b3o114bo18b2o75bobo27bobo45bo4bo38bo4bo86bo4bo131bo4b
o54bo4bo63bo5bo$141bobo17bobo75b2o27b2o46b5obo37b5obo85b5obo124bo5b5o
bo49b2o2b5obo53b3o8b3obo$22bo114bo3bobo17bo158bo2bo40bo2bo88bo2bo124b
o8bo2bo47bo8bo2bo13b3o52bo$2bo20b2o111bobo3bo175bo3b2o38bo3b2o86bo3b2o
122b3o6b2o2b2o35b3o12bo3b2o2b2o13bo35b2o14b3o$obo19b2o112bobo179b2o42b
2o90b2o135bo42bo10b2o4bo19bo33bobo14bo$b2o134bo109b2o4b3o4b2o330bo40b
o18bo54bo$247b2o11b2o100b2o8bo81b4o135bo59bo$239b2o27b2o50b2o40bobo6b
o82bo2bo79bo6bo40bo6b2o58b2o$8b2o114b2o20b2o90bobo27bobo48b2o42bo7b3o
81b2o81b2o3bo35b2o3b2o$7b2o13bo100bo2bo19bobo90bo29bo51bo215b2o4b3o34b
2o2bobo$9bo10bobo101b2o20bo222bo209bo$21b2o90b3o252b2o$267bo100bobo175b
3o84b2o$3b2o16bo89bo154bobo277bo85bobo$2bobo16b2o88bo154bobo278bo86bo
$4bo3bo11bobo88bo13b2o123bo16bo$9b2o114b2o121bobo$8b2o103b3o131bo4bo9b
2o394b2o$247b5obo7bo2bo392b2o$251bo2bo7b2o395bo$12b2o107b2o7b3o116bo3b
2o$11bobo96b3o8b2o126b2o$13bo98bo15bo5bo$111bo16bo5bo$128bo5bo2$130b3o
5b2o$138bobo$15b3o120bo$17bo$16bo17$406bo$406b2o$405bobo2$490b3o$490b
o6bo$491bo4b2o$496bobo2$411b2o$410bobo$412bo!
The cleanup is extremely unoptimized, so this should probably be reducible.

Edit: p42 R-pentomino hassler in 40G:

Code: Select all

x = 239, y = 101, rule = B3/S23
65bobo$65b2o$66bo7$184bo$182bobo$183b2o40bo$224bo$224b3o5$38bo$36bobo
152bo$37b2o153b2o$160bo30b2o28bo$158bobo60bobo$159b2o60b2o$169bo22bo$
170bo19bobo$45bo122b3o20b2o$43bobo9bo$44b2o10bo$40b2o12b3o132b2o$39bob
o146bobo$41bo145b3o$187b2o$o187bobo$b2o186bobo2b2o$2o188bo2bobo41bo$
81bo109b4o41bo$80bo111b2o42b3o$80b3o$70bo$71bo143b2o$69b3o142b4o$213bo
2bobo$73bo138bobo2b2o3bo$28b2o42bo138bobo7bo4bobo$27bobo42b3o135b2o9b
3o2b2o$29bo180b3o14bo$211bobo$212b2o4$181b2o$181bobo$71bo95bo14b3o$26b
3o42bobo93b2o2b3o9b2o$28bo42b2o93bobo4bo7bobo$27bo144bo3b2o2bobo$176bo
bo2bo$29b3o145b4o$29bo148b2o$30bo$18b3o$20bo135b3o42b2o$19bo138bo41b4o
$99b2o56bo41bobo2bo$98b2o99b2o2bobo$100bo103bobo$206b2o$59bo145b3o$59b
obo142bobo$44b3o12b2o143b2o$44bo10b2o$45bo9bobo$55bo146b2o20b3o$202bob
o19bo$202bo22bo$172b2o60b2o$171bobo60bobo$173bo28b2o30bo$62b2o137b2o$
62bobo138bo$62bo5$168b3o$170bo$169bo40b2o$210bobo$210bo7$34bo$34b2o$
33bobo!

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Stepan Babintsev
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Re: Synthesising Oscillators

Post by Stepan Babintsev » July 23rd, 2022, 7:09 am

carsoncheng wrote:
July 23rd, 2022, 2:57 am
The cleanup is extremely unoptimized, so this should probably be reducible.
Cleanup with 8G:

Code: Select all

x = 142, y = 65, rule = B3/S23
13bo$14bo$12b3o2$68bo$67bo$67b3o7$16bo$17b2o$16b2o2b2o4b3o4b2o$20b2o
11b2o$12b2o27b2o$11bobo27bobo$12bo29bo3$9bo30bo$10bo28bobo$8b3o28bobo
7bo$23bo16bo8bobo$21bobo25b2o$13bo6bo4bo9b2o7b2o$12bobo5b5obo7bo2bo5bo
2bo$12bobo9bo2bo7b2o7b2o$13bo8bo3b2o$22b2o16bo$39bobo94bo$39bobo94bobo
$40bo93bo4bo$31bo102b5obo$30bobo105bo2bo$26bo3bobo103bo3b2o$25bobo3bo
104b2o$25bobo$26bo5b2o$32bobo$32bo$13b2o$12bo2bo$13b2o$2b3o2$o$o$o13b
2o111b2o$14b2o110bo2bo$2b3o112bo9b2o$117bo$117bo$10b2o7b3o$10b2o101b3o
$17bo5bo104b2o$17bo5bo86b2o5bo10b2o$17bo5bo85bobo5bo$111bo5bo$19b3o$
133b3o$133bo$134bo!
This should be reducible too :D

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Ian07
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Joined: September 22nd, 2018, 8:48 am

Re: Synthesising Oscillators

Post by Ian07 » July 23rd, 2022, 12:05 pm

Stepan Babintsev wrote:
July 22nd, 2022, 7:14 am
Now I'm practicing syntheses, I just look through Catagolue census and do some syntheses, so if they are cheaper than on Catagolue I will put them in this post.
FYI, some of the synthesis steps you posted are invalid, because if you try to rewind them the gliders cross paths either with each other or with other objects. Luckily in this case they're all fixable just by synthesizing things in a different order, and I've already submitted the fixed versions to Catagolue. For example, here's a fixed version of synthesis #4 where I made the block at the same time as everything else so that the gliders can all be rewound indefinitely:

Code: Select all

x = 53, y = 68, rule = B3/S23
52bo$50b2o$51b2o14$29bo$28bo$28b3o$bo$2bo32bo$3o30b2o$34b2o3$2bo29bo$o
bo28bo$b2o28b3o23$37b2o$36b2o$38bo2$28bo$27b2o$27bobo6$35b3o$35bo$36bo
$4b3o$6bo$5bo!

carsoncheng
Posts: 158
Joined: June 11th, 2022, 11:24 pm

Re: Synthesising Oscillators

Post by carsoncheng » July 23rd, 2022, 8:11 pm

Ian07 wrote:
July 23rd, 2022, 12:05 pm
Stepan Babintsev wrote:
July 22nd, 2022, 7:14 am
Now I'm practicing syntheses, I just look through Catagolue census and do some syntheses, so if they are cheaper than on Catagolue I will put them in this post.
FYI, some of the synthesis steps you posted are invalid, because if you try to rewind them the gliders cross paths either with each other or with other objects. Luckily in this case they're all fixable just by synthesizing things in a different order, and I've already submitted the fixed versions to Catagolue. For example, here's a fixed version of synthesis #4 where I made the block at the same time as everything else so that the gliders can all be rewound indefinitely:

Code: Select all

x = 53, y = 68, rule = B3/S23
52bo$50b2o$51b2o14$29bo$28bo$28b3o$bo$2bo32bo$3o30b2o$34b2o3$2bo29bo$o
bo28bo$b2o28b3o23$37b2o$36b2o$38bo2$28bo$27b2o$27bobo6$35b3o$35bo$36bo
$4b3o$6bo$5bo!
Before submitting syntheses to Catagolue, I usually run this piece of code, slightly modified from contrsynth.py in the Catagolue repository, written by Adam P. Goucher:

Code: Select all

#Credit: Adam P. Goucher
#Source file: https://gitlab.com/apgoucher/catagolue/-/blob/master/initialise/contrsynth.py
#Modified for connecting to check_glider_stdin and more effective junk removal. Most parts from the online copy remain intact.
import shinjuku
from shinjuku.gliderset import gset
from shinjuku.search import read_components
from shinjuku.transcode import encode_comp, decode_comp, realise_comp, remove_standard_spaceships
from shinjuku.checks import rewind_check
from shinjuku.synthtools import split_mosaic as split_synthesis
def is_good(synthline):
    out_str = decode_comp(synthline)[2]
    pat = realise_comp(synthline)
    actual_str = pat.oscar(verbose=False, return_apgcode=True).get('apgcode', 'rubbish')
    return (out_str == actual_str)
#knowns = read_components()
def contrsynth(rle_list, lt):
    engulfed = set([])
    for rle in rle_list:
            contrib_lines = []
            for radius in [5, 8, 13, 21]:
                    try:
                        subpatterns = [c for c in split_synthesis(rle, radius=radius-1, maxtime=1024)]
                        for s in subpatterns:

                            w = s.wechsler
                            if (w != '#'):
                                if w in engulfed:
                                    continue
                                engulfed.add(w)

                            try:
                                dst = s[4096].apgcode
                                if s[4096][-4096] == s:
                                    continue
                                x = remove_standard_spaceships(s)

                                g = gset.extract(x)
                                src = (x - g.s()).apgcode

                                directions = 0

                                for salvo in g.l:
                                    if salvo.nonempty():
                                        directions += 1
                                        if (salvo[4].centre() != salvo.centre()):
                                            return False
                                if (src == 'xs0_0') and (directions <= 1):
                                    return False
                                else:
                                    c = encode_comp(s)
                                    if rewind_check(*realise_comp(c, separate=True)):
                                        contrib_lines.append(c)
                                    else:
                                        return False
                            except (ValueError, KeyError, TypeError):
                                return False
                    except (ValueError, KeyError, TypeError):
                        return False
            #contrib_lines = [s for s in set(contrib_lines) if (s not in knowns) and ('ov_' not in s)]
            contrib_lines = [s for s in contrib_lines if is_good(s)]
            if len(contrib_lines) != 0:
                return True
            else:
                return False
To use it, clone the Shinjuku repository, and place this file into its main directory. Import the "contrsynth" function from this file, and input the RLE as the first parameter. Note that the RLE must be surrounded by square brackets to make it a list because this file is originally designed to receive a list of RLEs instead of a single one. Secondly, import lifelib and run the lifelib setup code, and plug the lifetree variable (lt) into this function.

Note that if you supply multiple RLEs into the function, it will return True if any of them is valid because it just checks whether the contrib_lines variable, which stores valid syntheses, is empty. If you want to check multiple syntheses at once, consider modifying this function to obtain a list of such values instead of just one.

It returns a boolean value. True means that the synthesis is valid, while False means that it is not. I usually run this piece of code to see if each of my synthesis steps are valid before posting my syntheses and submitting it to Catagolue, and I also run this script when scanning Glider_stdin symmetries to prevent invalid syntheses from being reported.

carsoncheng
Posts: 158
Joined: June 11th, 2022, 11:24 pm

Re: Synthesising Oscillators

Post by carsoncheng » July 23rd, 2022, 11:11 pm

To get the discussion back on topic, here is boat tie tripole in 8G, down from 10G:

Code: Select all

x = 34, y = 17, rule = B3/S23
15b2o$14bobo$16bo3$22b3o$22bo$23bo3$4b2o$5b2o$4bo10b2o14b2o$9b2o3b2o15b
obo$b2o7b2o4bo2b3o9bo$obo6bo9bo$2bo17bo!
Edit on July 27: Bipole tie cover in 9G, down from 10G:

Code: Select all

x = 124, y = 54, rule = B3/S23
104bo$103bo$103b3o8$121bobo$121b2o$122bo12$92bobo$92b2o$93bo14$obo$b2o
52bo$bo52bobo$55b2o$7b3o$7bo$8bo$51bo$52b2o$51b2o2$47b2o6bo$46bobo5b2o
$48bo5bobo!
xp2_ciabgzx254c, a 16-cell p2 oscillator, in 9G, down from 12G:

Code: Select all

x = 89, y = 48, rule = B3/S23
80bo$80bobo$80b2o7$86bo$86bobo$86b2o12$63bobo$64b2o$64bo$59b3o$61bo$60b
o2$65bo$bo63b2o$2bo61bobo$3o$9bobo$9b2o$10bo$74b2o$74bobo$76bo$76b2o3$
53b3o$55bo$54bo10b2o$65bobo$65bo!
Edit on July 29: Crossposting from Discord, the p40 traffic light hassler has been synthesized in 42G by iNoMed:

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xp40_62sgw252y8252wgs26zoge21x75596y069557x12egozggymggz10nk8xeaa96y069aaex8kn01z643x4a4y84a4x346 costs 42 gliders (true).
#CLL state-numbering golly
x = 318, y = 48, rule = B3/S23
281bo34bo$282bo32bo$280b3o32b3o2$245bo42bo$239bobo3bobo38bobo3bobo
9b2o$240b2o3b2o40b2o3b2o9bo2bo$240bo52bo9bo2bo$304b2o$308bobo$o
188bo118b2o$b2o184b2o104bo15bo$2o87bo98b2o104b2o$80b2o8bo59b2o68b
2o26b2o34b2o7b2o17b2o$12bo67bobo5b3o59bobo24bo42bobo24bobo34bobo
24bobo$7bo3bo8bo61bo69bo16bo8bo3bo39bo24bo38bo24bo$7b2o2b3o5bo62b
3o11bo55b3o15bo5b3o2b2o39b3o20b3o38b3o20b3o$6bobo10b3o63bo8bobo3bo
bo52bo12b3o10bobo41bo18bo44bo18bo$82b3o10b2o3b2o50b3o67b3o20b3o38b
3o20b3o$82bo18bo50bo69bo24bo38bo24bo$80bobo67bobo67bobo24bobo34bob
o24bobo$80b2o68b2o8bo59b2o8bo17b2o34b2o8bo17b2o$2o157bobo26b2o39bo
bo61bobo$b2o46bo90bo19bo26b2o41bo63bo$o46b2o92b2o26bo19bo49bo63bo$
48b2o90b2o26bobo67bobo61bobo$108b2o59bo8b2o40b2o17bo8b2o34b2o17bo
8b2o$107bobo67bobo40bobo24bobo34bobo24bobo$88bo18bo69bo44bo24bo38b
o24bo$88b2o3b2o10b3o67b3o44b3o20b3o38b3o20b3o$28b3o10bobo43bobo3bo
bo8bo41bobo10b3o12bo50bo18bo44bo18bo$30bo5b3o2b2o50bo11b3o39b2o2b
3o5bo15b3o44b3o20b3o38b3o20b3o$29bo8bo3bo64bo39bo3bo8bo16bo44bo24b
o38bo24bo$37bo61b3o5bobo42bo24bobo40bobo24bobo34bobo24bobo$99bo8b
2o68b2o40b2o26b2o34b2o17b2o7b2o$48b2o50bo39b2o160b2o$47b2o92b2o
145bo15bo$49bo90bo147b2o$287bobo$292b2o$229bo61bo2bo9bo$223b2o3b2o
61bo2bo9b2o3b2o$222bobo3bobo61b2o9bobo3bobo$224bo84bo2$280b3o32b3o
$282bo32bo$281bo34bo!
P48 R-pentomino hassler in 18G:

Code: Select all

x = 135, y = 30, rule = B3/S23
128bo$127bo$122bo4b3o$120bobo$117bo3b2o$115bobo$116b2o2$69bo$67b2o$68b
2o$65bo9bo31bo2bo$63bobo8b2o35bo$64b2o8bobo35b2o$106bob2o6bo11bo$57b2o
12bo34bo2bo3bo15bo$56bo2bo10b2o33bo3bob3o13b3o4bo$57b2o11bobo31bo11bo
15b2o$10bo96b3obo3bo17b2o$9bo36bobo11b2o45bo3bo2bo$6bo2b3o35b2o10bo2b
o41bo6b2obo$5b2o40bo12b2o45b2o$5bobo101bo$b2o39bobo8b2o55bo2bo4b2o$ob
o40b2o8bobo63b2o$2bo40bo9bo64bo$49b2o$50b2o71bo$49bo73b2o$122bobo!
Last edited by carsoncheng on July 30th, 2022, 6:24 am, edited 1 time in total.

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Stepan Babintsev
Posts: 23
Joined: June 10th, 2022, 8:16 am
Location: Somwhere on forums...

Re: Synthesising Oscillators

Post by Stepan Babintsev » July 30th, 2022, 6:23 am

xp2_8e1t2sgz318nge21 has very large synthesis, 18G, but it has a simple predecessor, so 10G is easy.

Code: Select all

x = 41, y = 34, rule = B3/S23
2bo$obo$b2o$19bo19bo$19bobo16bo$19b2o17b3o7$15bo$14bo$14b3o$12bo$10bob
o$11b2o$28bo$26b2o$19bobo5b2o$19b2o$9bo10bo$10bo$8b3o7$19bo4b2o$18b2o
3b2o$18bobo4bo!
Previous synthesis from Catagolue:

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xp2_8e1t2sgz318nge21 costs 18 gliders (true).
#CLL state-numbering golly
x = 202, y = 128, rule = B3/S23
128bo$126b2o$127b2o54$45bo$43bobo$44b2o4$164bo$164bobo24bo$164b2o
23b2o$190b2o$159b2o$159b2o$184bo$184bo$184bo2$54bo$55b2o$54b2o116b
o$171bobo$169b3ob3o$168bo7bo$54b3o110bob6obo$56bo110bo6b2o$55bo
112b3ob2o7bo$170bob2o6bobo16bo$180bobo16bobo$181bo17b2o$195b2o$7bo
186bo2bo$2bo3b2o186bobo$obo3bobo186bo$b2o73bo$77b2o14bo$10b2o64b2o
14bo$10bobo44b3o2bo29b3o$10bo51bo17b2o$62bo16bobo99bo$74b2o5bo98bo
bo$75b2o96bo6bobo$74bo15b2o81bo7bo$90bobo80bo$90bo106b2o$197bobo$
197bo3$177bo$177b2o$176bobo20$65b2o$66b2o$65bo!
EDIT: Huh, xp2_0g04q23z345lo 21G -> 9G :D

Code: Select all

x = 57, y = 29, rule = B3/S23
54bobo$54b2o$55bo5$28bo$29bo$27b3o3$22bo$23b2o$22b2o3$39bo$38bo$25b2o
11b3o$bo3bobo16bobo$2bo2b2o19bo$3o3bo31b2o$30bo6b2o$29bobo7bo$30bo$b3o
$3bo$2bo!
EDIT 2:xp2_jhewehrz146: 9G:

Code: Select all

x = 95, y = 55, rule = B3/S23
bo$2bo$3o12$93bo$92bo$92b3o5$87b2o$86bo2bo$87bobo$88bo$30bo$28bobo$29b
2o2$25b2o$26b2o44bo10b2ob2o$25bo47bo9bo3bo$30b3o38b3o10b3o$30bo54bo$
31bo53bo$80b2o2b3o$76bo3bo2bo3bo$33bo42bo5b2o2b2o$32b2o42bo$32bobo$28b
2o$29b2o$28bo10$3b2o$2bobo$4bo!
Last edited by Stepan Babintsev on August 1st, 2022, 12:23 pm, edited 2 times in total.

carsoncheng
Posts: 158
Joined: June 11th, 2022, 11:24 pm

Re: Synthesising Oscillators

Post by carsoncheng » July 30th, 2022, 7:32 am

P90 honey farm hassler in 33G:

Code: Select all

x = 395, y = 84, rule = B3/S23
38bobo$38b2o$39bo16$11bo379bo$9bobo379bobo$10b2o342bo36b2o$355bo6bo$353b
3o4bobo$361b2o29bobo$392b2o$393bo$18bo$16bobo$17b2o$13b2o$12bobo355bo
$14bo355bobo$234b2o130bo3b2o$234b2o131bo$132b2o231b3o$132b2o208b2o$132b
2o99b3o106b2o$67bo64bo24bo75b2obo2b2o34bobo64b2o$67bobo61bobo22bo78b2o
2b2o35b2o64bo$67b2o63bobob3o17b3o76b2o33bo5bo64bobo$133bob4o108b2o19b
obo71bobob3o$134bo17bobo92b2o20b2o72bob4o$153b2o189bo37b6o$153bo77bo123b
2o24bo6bo$b2o229bo42b3o77b2o23bo8bo$obo227b3o42bo92bobo10bo6bo$2bo273b
o91b2o12b6o$369bo$237b2o20b2o93bo$237bobo19b2o75b6o12b2o$231bo5bo33b2o
62bo6bo10bobo$230b2o35b2o2b2o61bo8bo23b2o$55bo113bo60bobo34b2o2bob2o60b
o6bo24b2o$55bobo107b4obo101b3o61b6o37bo$55b2o108b3obobo203b4obo$51b2o
117bobo202b3obobo$51bobo117bo100b2o106bobo$51bo118b2o100b2o107bo$159b
2o9b2o208b2o$158b2o10b2o208b2o$160bo219b2o$356b3o$356bo$58b2o292b2o3b
o$58bobo290bobo$58bo294bo5$330bo$330b2o$329bobo29b2o$361bobo4b3o$361b
o6bo$331b2o36bo$330bobo$332bo4$30bo$30b2o$29bobo!

AbhpzTa
Posts: 553
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

Re: Synthesising Oscillators

Post by AbhpzTa » July 30th, 2022, 9:11 am

Stepan Babintsev wrote:
July 30th, 2022, 6:23 am
xp2_8e1t2sgz318nge21 has very large synthesis, 18G, but it has a simple predecessor, so 10G is easy.

Code: Select all

x = 41, y = 34, rule = B3/S23
2bo$obo$b2o$19bo19bo$19bobo16bo$19b2o17b3o7$15bo$14bo$14b3o$12bo$10bob
o$11b2o$28bo$26b2o$19bobo5b2o$19b2o$9bo10bo$10bo$8b3o7$19bo4b2o$18b2o
3b2o$18bobo4bo!
9G:

Code: Select all

x = 33, y = 38, rule = B3/S23
2bo$obo$b2o27bobo$19bo10b2o$19bobo9bo$19b2o7$15bo$14bo$14b3o$12bo$10bo
bo$11b2o3$19bobo$19b2o$9bo10bo$10bo$8b3o7$19bo$18b2o$18bobo2$27b2o$26b
2o$28bo!
carsoncheng wrote:
July 30th, 2022, 7:32 am
P90 honey farm hassler in 33G:

Code: Select all

x = 395, y = 84, rule = B3/S23
38bobo$38b2o$39bo16$11bo379bo$9bobo379bobo$10b2o342bo36b2o$355bo6bo$353b
3o4bobo$361b2o29bobo$392b2o$393bo$18bo$16bobo$17b2o$13b2o$12bobo355bo
$14bo355bobo$234b2o130bo3b2o$234b2o131bo$132b2o231b3o$132b2o208b2o$132b
2o99b3o106b2o$67bo64bo24bo75b2obo2b2o34bobo64b2o$67bobo61bobo22bo78b2o
2b2o35b2o64bo$67b2o63bobob3o17b3o76b2o33bo5bo64bobo$133bob4o108b2o19b
obo71bobob3o$134bo17bobo92b2o20b2o72bob4o$153b2o189bo37b6o$153bo77bo123b
2o24bo6bo$b2o229bo42b3o77b2o23bo8bo$obo227b3o42bo92bobo10bo6bo$2bo273b
o91b2o12b6o$369bo$237b2o20b2o93bo$237bobo19b2o75b6o12b2o$231bo5bo33b2o
62bo6bo10bobo$230b2o35b2o2b2o61bo8bo23b2o$55bo113bo60bobo34b2o2bob2o60b
o6bo24b2o$55bobo107b4obo101b3o61b6o37bo$55b2o108b3obobo203b4obo$51b2o
117bobo202b3obobo$51bobo117bo100b2o106bobo$51bo118b2o100b2o107bo$159b
2o9b2o208b2o$158b2o10b2o208b2o$160bo219b2o$356b3o$356bo$58b2o292b2o3b
o$58bobo290bobo$58bo294bo5$330bo$330b2o$329bobo29b2o$361bobo4b3o$361b
o6bo$331b2o36bo$330bobo$332bo4$30bo$30b2o$29bobo!
26G:

Code: Select all

x = 530, y = 138, rule = B3/S23
209bo$209bobo$209b2o16$127bo$128b2o$127b2o6$134bo$135b2o$134b2o5$228bo
bo$228b2o$229bo2$239bo$237b2o$238b2o116bo$183bo171bo$183bobo169b3o$
183b2o6bo$189b2o$190b2o2$322bo$320bobo$321b2o$25bobo$26b2o$20bo5bo$18b
obo206bo$19b2o204b2o$226b2o2$319b2o158b2o$186bo2bob2obo2bo120bo2bo24bo
2bob2obo2bo120bo2bo24bo2bob2obo2bo$186b4ob2ob4o120bo27b4ob2ob4o120bo
27b4ob2ob4o$186bo2bob2obo2bo120bo27bo2bob2obo2bo120bo27bo2bob2obo2bo$
318bobo3bo153bobo3bo$319bobo3bo153bobo3bo$320bo4bo154bo4bo$321b4o156b
4o$356bo2bo4bo2bo148bo2bo4bo2bo$354b3o2b6o2b3o144b3o2b6o2b3o$35b3o318b
o2bo4bo2bo140b3o5bo2bo4bo2bo$35bo456b2o12b2ob2o$36bo452b2obo16b2o$bo
485b2o16bob2o$2bo484b2ob2o12b2o$3o307bo2bo4bo2bo148bo2bo4bo2bo5b3o$
308b3o2b6o2b3o144b3o2b6o2b3o$310bo2bo4bo2bo148bo2bo4bo2bo$353b4o156b4o
$352bo4bo154bo4bo$352bo3bobo153bo3bobo$353bo3bobo153bo3bobo$160bo2bob
2obo2bo148bo2bob2obo2bo27bo120bo2bob2obo2bo27bo$160b4ob2ob4o148b4ob2ob
4o27bo120b4ob2ob4o27bo$160bo2bob2obo2bo148bo2bob2obo2bo24bo2bo120bo2bo
b2obo2bo24bo2bo$357b2o158b2o2$130b2o$17b2o112b2o$17bobo110bo$11bo5bo$
10b2o$10bobo$355b2o$355bobo$355bo2$166b2o$167b2o$166bo6b2o$172bobo145b
3o$174bo147bo$118b2o201bo$119b2o$118bo2$128bo$128b2o$127bobo5$222b2o$
221b2o$223bo6$229b2o$228b2o$230bo16$147b2o$146bobo$148bo!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).

carsoncheng
Posts: 158
Joined: June 11th, 2022, 11:24 pm

Re: Synthesising Oscillators

Post by carsoncheng » August 2nd, 2022, 2:39 am

Capped period-48 glider gun in 24G:

Code: Select all

x = 276, y = 66, rule = B3/S23
118bo$119b2o$118b2o15$256bo$257bo$255b3o$260bo$260bobo11b2o$260b2o12bo
$142bo129bobo$143b2o127b2o$142b2o2$139bo32bob2o3bo67bob2o3bo$140b2o30b
5obobo14bo51b5obobo$139b2o3bobo25bo2bo3bo16bo50bo2bo3bo12bo$144b2o27bo
bo18b3o51bobo14bobo$145bo27b3o23bobo46b3o15b2o$173bo25b2o8bo38bo23b2o$
2bo173b2o22bo7b2o41b2o19bobo$obo75b2o50b2o42bobo31bobo38bobo4b2o16bo$b
2o39b2o34b2o50b2o43b2o8b3o62b2o4b2o7b3o6b2o$37bobo2b2o2b2o36b2o50b2o
49bo79bo$4b3o31b2o6b2o36b2o50b2o48bo79bo$6bo31bo231b2o$5bo264bobo$131b
3o52b3o83bo$186bo85b2o$135bo37b2o12bo$135bo36bobo$135bo38bo2$130b3o66b
2o$198b2o$78bo121bo$79b2o115b2o$78b2o115bobo$197bo2$80bo$79b2o$79bobo
129bo$210b2o$85b3o122bobo$85bo$86bo4$215b3o$215bo$216bo!
Edit on August 5: p45 pi-heptomino hassler in 22G:

Code: Select all

x = 165, y = 45, rule = B3/S23
131bobo$132b2o$132bo3$150bo$131bo18bobo$129bobo18b2o$130b2o2$141bo$142b
o$140b3o$157bobo$152bo4b2o3bo$151bo6bo3bobo$151b3o8b2o$58bobo$58b2o$59b
o2$61bo$60bo67b2o$60b3o64bobo29b2o$82bo46bo3bobo23bobo$55bo25bo51b2o24b
o$53bobo25b3o50bo18b3o$54b2o$67b3o76b3o$67b3o9b2o49b2o6bo7b3o$68bo10b
obo49b2o4b3o7bo$68bo10bo50bo5bobobo6bo11b3o$68bo67bobobo6bo11bo$o66bo
bo67b3o6bobo11bo$b2o135bo$2o6b3o$8bo58bobo76bobo$9bo42bo15bo69bo8bo$53b
o14bo68b3o7bo$51b3o14bo67bobobo6bo$67b3o66bobobo5b3o$7bo59b3o67b3o6b3o
$6b2o46b2o82bo$6bobo44bobo$55bo!
Capped period-46 glider gun in 15G:

Code: Select all

x = 72, y = 47, rule = B3/S23
obo$b2o$bo$57bobo$42bo14b2o$43b2o13bo$42b2o2$60bo$40b2o17bo4bobo$39bob
o17b3o2b2o$41bo23bo5$32b2o$27bo4bobo$27b2o3bo$26bobo2$33bo20b3o$32b2o
20bo$32bobo20bo7$63b2o$62b2o5b2o$64bo4bobo$69bo2$60bo$59b2o$59bobo4$
62b3o$62bo$63bo$18b2o$17bobo$19bo!
Edit on August 6: xp4_1770e6zy0ce0ssg (22P4) in 9G (down from 10G), using a reduced version of the reaction used in the old synthesis:

Code: Select all

x = 24, y = 40, rule = B3/S23
bo$2bo$3o2$21bo$20bo$3bobo14b3o$4b2o$4bo3$bo9bo$2bo7bo$3o7b3o2$22bo$b
o19bo$2bo18b3o$3o10$17b2o$17bobo$17bo7$17b3o$17bo$18bo!
Edit on August 10: Another p45 pi-heptomino hassler (29P45) in 10G:

Code: Select all

x = 80, y = 27, rule = B3/S23
13bo$11b2o$12b2o$6bobo$7b2o$7bo51b2o5bo$59b2o3b2o$65b2o2$56bo$bobo50b
obo$2b2o51b2o$2bo$5bo$5bobo42bo$2o3b2o42bobo$obo46b2o22bo$o71bo$72b3o
$56bo20bobo$56bo20b2o$56bo21bo3$69b2o$69bobo$69bo!

hotdogPi
Posts: 1069
Joined: August 12th, 2020, 8:22 pm

Re: Synthesising Oscillators

Post by hotdogPi » August 10th, 2022, 8:59 am

Top: Can these new oscillators be synthesized? There are 11 of them.
Bottom two: These are synthesized in this thread but don't appear on Catagolue.

Code: Select all

x = 182, y = 266, rule = B3/S23
71b2o37b2o9b2o30bo16bo$71b2o33b2obo2bob2ob2obo2bob2o26b3o12b3o$106b2o
2bo4bobo4bo2b2o29bo10bo$111bo9bo27b2o4b2o10b2o4b2o$71b3o6b2o30bobo3bob
o29bo22bo$54bo11b2o2bob2o5bo2bo67bobo18bobo$66b2o2b2o10bo68b2o18b2o$
52bob3o13b2o10bo$54b2obo18bo3bobo76b2o2b2o$54bob2o17bo3bobo33b3o41b2o
2b2o$55b3obo15bo4bo33bo3bo$76b4o34b2ob2o$57bo$156b3o6b3o$68b3o85bobo6b
obo$66b2o2bo39b3o7b3o33b3o6b3o$66bo2b2o42bo5bo25b2o3b2o20b2o3b2o$66b3o
40bo3bo5bo3bo21b2o2bo2bo18bo2bo2b2o$108bobo2bo5bo2bobo24bobo20bobo$79b
o26bo2bobo9bobo2bo15b2o6bo22bo6b2o$57b4o45bo3bo11bo3bo15bo38bo$56bo4bo
15bob3o24bo19bo17bobo30bobo$55bobo3bo17b2obo24b3o13b3o17b2ob2o28b2ob2o
$54bobo3bo18bob2o$54bo10b2o13b3obo58b2ob2o7bo12bo7b2ob2o$54bo10b2o2b2o
73bobo6b3o12b3o6bobo$54bo2bo5b2obo2b2o11bo61bobo5bo18bo5bobo$55b2o6b3o
79bo6b2o16b2o6bo3$64b2o$64b2o10$36bo50bo53bo$34b3o48b3o44b2o5b3o$33bo
43b2o5bo46bobo4bo$17bo4bo10b2o40b3obo4b2o46bo5b2o$15b2ob4ob2o49bo4bo$
17bo4bo52b3obob2o$77bobo2bo37b2o$80b2o4b2o33bo$86bo34bobo$57b2o5bo19bo
bo35b2o$58bo5b3o17b2o$58bobo6bo40bob2o6bo26b2o$59b2o5b2o40b2obo5bobo6b
3o15bo2bo$78b3o35bo2bo5bo3bo14bobo5bob2o$10b2o3bo2bo3b2o38b2o14bobo36b
2o5bo5bo14bo6b2obo$10b5o4b5o38bobo13b3o43bo5bo$10b2o3bo2bo3b2o4b2o34bo
5b3o51bo5bo9b2o$29b2o29b4o6bobo19bo32bo3bo10bobo$30b2o4b2o3bo2bo3b2o9b
o10b3o18bobo32b3o13bo$36b5o4b5o9b2ob2o27bobo48b2o$36b2o3bo2bo3b2o10bob
o27b2ob2o$60bobo18b3o10bo$61bo19bobo6b4o30b2o5bo$81b3o5bo35bo4bobo$73b
3o13bobo30b3o5b2o$73bobo14b2o30bo$73b3o$86b2o5b2o$86bo6bobo$37bo4bo25b
2o17b3o5bo$35b2ob4ob2o22bobo19bo5b2o$25b2o10bo4bo24bo$26bo39b2o4b2o$
23b3o45bo2bobo$23bo47b2obob3o$74bo4bo$68b2o4bob3o$69bo5b2o$66b3o$66bo$
130bo$128b3o$127bo$128bo$121b4o4bo$127bobo$33b3o75b2o10b3ob2o$29b2o2bo
2bo5b2o66bo2bo10b2o$29b2o2b2ob2o4b2o66bobobo$35bobo73bob3o$19bo49bo2bo
7b2o31b3o8b3o$18b3o46b6o7bobo42bo$17bob3o44bo14bo43bo$16bo3bo14bobo29b
3ob2o$15bo3bo9b2o2b2ob2o4b2o20bo4bob2o$14b3obo10b2o2bo2bo5b2o19bobo$
15b3o15b3o27bobo11b3o$16bo45b2ob2o8b2o2bo30b3o$63bo11bo2b2o29bo3bo11b
3o$63bob2o8b3o30bo5bo9bo3bo$12bo33bo15b2ob2o41bo5bo8bo5bo$11b3o17b3o
11bob2o43bo15bo5bo8bo5bo$10bo3b2o13b2o2bo15bo41bobo15bo3bo9bo5bo$5b2o
5bob2o13bo2b2o11bo2bobo18b3o20b2o16b3o11bo3bo$4bo2bo3b2obo8b3o3b3o8bob
2o3bo2bo18bobo13b3o37b3o$4bobo2bo11b2o2bo13b2obo5b2o18bo2bo13bobo$5bo
15bo2b2o13b2o3bo23bobo13bo2bo$6b2obo11b3o17b3o24b3o13bobo$8bo33bo19b2o
20b3o$62bobo47bo$63bo48bo$38bo50b2ob2o17b3o8b3o$19b3o15b3o38b3o8b2obo
29b3obo$11b2o5bo2bo2b2o10bob3o35b2o2bo11bo30bobobo$11b2o4b2ob2o2b2o9bo
3bo36bo2b2o8b2ob2o18b2o10bo2bo$17bobo14bo3bo37b3o11bobo16b2ob3o10b2o$
33b3obo52bobo15bobo$34b3o46b2obo4bo16bo4b4o$35bo47b2ob3o20bo$17bobo54b
o14bo20bo$11b2o4b2ob2o2b2o47bobo7b6o18b3o$11b2o5bo2bo2b2o48b2o7bo2bo
20bo$19b3o15$27bo$83b2o4b2o$25b3obo53bobo2bobo$24bob2o57bo2bo$24b2obo
56bo4bo$9b3o10bob3o57bo4bo$8bo69bo5bo4bo$8bo3bo11bo52bobo6b2o$8bo2bobo
64bo$3bo6bobo2bo$2b2o7bo3bo$bob2o10bo50bo$3o2bo6b3o50bobo$2bobobo13b3o
42bobo16b3o$3bobobo11bo3bo40b2ob2o14bo3bo$4bo2b3o8bo5bo57bo5bo5b3o19b
2o$5b2obo9bo5bo39b2ob2o3b2o8bo5bo4bo3bo19bo$6b2o10bo5bo40bob2o5bo7bo5b
o3bo5bo7bo5b2obo$6bo12bo3bo39bo19bo3bo4bo5bo8b2o3b2ob2o$20b3o40b2o19b
3o5bo5bo$26b3o64bo3bo14b2ob2o$25bo3bo12bo51b3o16bobo$24bo5bo10b2o70bob
o$24bo5bo9bob2o70bo$24bo5bo8b3o2bo$25bo3bo11bobobo$26b3o13bobobo55bo$
34b3o6bo2b3o44b2o6bobo$33bo10b2obo43bo4bo5bo$33bo3bo7b2o44bo4bo$33bo2b
obo6bo45bo4bo$35bobo2bo51bo2bo$24bo11bo3bo49bobo2bobo$40bo49b2o4b2o$
22b3obo10b3o$21bob2o$21b2obo$19bob3o2$21bo61$38b2o$38b2o$75b2o$73bo2bo
25bo2bo4bo2bo$100b3o2b6o2b3o$38b3o61bo2bo4bo2bo$37bo3bo31b2obo$37b2ob
2o33bobo2b2o$76bo4bo$30bo46bo35b2o6b2o$29bobo45bo2bo30bo4bo2bo4bo$29b
2o57b3o20bo4bo2bo4bo$87bo3bo7b3o9bo4bo2bo4bo$86bo5bo5bo3bo10b2o6b2o$
36b8o42bo5bo4bo5bo$36bob4obo42bo5bo4bo5bo$36b8o23b2o6b2o10bo3bo5bo5bo$
65bo4bo2bo4bo9b3o7bo3bo$65bo4bo2bo4bo20b3o$65bo4bo2bo4bo30bo2bo$67b2o
6b2o35bo$108bo4bo$108b2o2bobo$113bob2o$76bo2bo4bo2bo$74b3o2b6o2b3o$76b
o2bo4bo2bo25bo2bo$113b2o!
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉟,㊱,㊳S,㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,70,72,74S,75,76S,80,84,90,96,100,102S,108,110,112,114G,116,117G,120,126G,128,138,147,154,156,180,196S,217,486,576

S: SKOP
G: gun

carsoncheng
Posts: 158
Joined: June 11th, 2022, 11:24 pm

Re: Synthesising Oscillators

Post by carsoncheng » August 11th, 2022, 12:56 am

P60 lumps of muck hassler in 25G:

Code: Select all

x = 346, y = 64, rule = B3/S23
210bobo$37bo172b2o$35b2o17bo156bo$36b2o15bo$53b3o157bo$212bo$212b3o2$
205bo$119bobo81bobo$119b2o83b2o100b3o$112bo7bo185b3o$113b2o192bo$21bo
90b2o193bo$19bobo285bo$20b2o284bobo9bo$24bo293bo$22b2o293bobo$23b2o281b
obo9bo$307bo10bo$214bobo90bo10bo$99b2o114b2o90bo10bo$100bo114bo90b3o8b
obo$100bobo106b3o76b2o16b3o9bo$101b2o123b2o61bo28bo$2b2o222bobo60bobo
$3bo187b2o33bo63b2o$3bobo186bo$4b2o110b2o3b2o69bobo$116b2o2bo2bo69b2o
$120bo2bo181b2o3b2o$121b2o101b2o79b2o2bo2bo$223b2o84bo2bo$103bo104b2o
3b2o10bo84b2o$103bo9b3o92b2o2bo2bo$102bobo8b3o96bo2bo76bo$103bo10bo98b
2o77bo9b3o$103bo10bo79b3o94bobo8b3o$103bo10bo78bo3bo94bo10bo16b2o$11b
o91bo9bobo77bo3bo94bo10bo15b2o$11bobo88bobo89b3o95bo10bo17bo$11b2o90b
o102bo85bo9bobo$103bo9bobo89b3o83bobo$2o12b2o98bo89b2ob2o83bo$b2o12b2o
97bo88b3ob3o82bo9bobo22bo$o13bo4bo94bo79b3o6b3ob3o93bo22b2o$19bobo91b
3o77bo3bo5b3ob3o93bo22bobo$19b2o92b3o77bo3bo5b3ob3o93bo$194b3o7b2ob2o
93b3o11b3o$205b3o94b3o13bo$2b3o11b3o187bo110bo$4bo13bo$3bo13bo2$338b2o
$337b2o$339bo5$343b2o$343bobo$343bo!
Fourfold hearts in 14G (down from 23G):

Code: Select all

x = 100, y = 45, rule = B3/S23
20bo$18b2o$19b2o6$7bo$8b2o$7b2o74bo7bobo2bo$81bobo8b2o2bobo$82b2o8bo3b
2o$7b2o$8b2o$7bo5$2o83b2o4b2o$b2o81bo2bo2bobo$o21bo62b2o4bo$20b2o$21b
2o2$89bo4b2o$88bobo2bo2bo$88b2o4b2o$15bo$13b2o$14b2o3$14b2o$13b2o$15b
o67b2o3bo8b2o$82bobo2b2o8bobo$84bo2bobo7bo4$2b2o$3b2o$2bo!

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Stepan Babintsev
Posts: 23
Joined: June 10th, 2022, 8:16 am
Location: Somwhere on forums...

Re: Synthesising Oscillators

Post by Stepan Babintsev » August 11th, 2022, 5:54 am

Nice 3G component for p3:

Code: Select all

x = 22, y = 13, rule = B3/S23
21bo$19b2o$20b2o$2o12bo$obo12b2o$2bo11b2o$b2ob2o$2bobo$2bobo7b3o$b2ob
2o6bo$4bo8bo$4bobo$5b2o!
I didn't check for 2 gliders, there are another variants:

Code: Select all

x = 37, y = 10, rule = B3/S23
35bo$6b2o10bo16bo$3b2obo8b2ob2o11b2ob3o$3bo2b2o7bo2b2o8b2ob2ob3o$2obo
8b2obo12bo2b2ob3o$2ob2o7b2ob2o8b2obo6bo$3bo11bo9b2ob2o5bo$3bobo9bobo
10bo$4b2o10b2o10bobo$29b2o!
It's really easy to do syntheses for a lot of p3 with this component. Just need a SL with bookend siamese table

carsoncheng
Posts: 158
Joined: June 11th, 2022, 11:24 pm

Re: Synthesising Oscillators

Post by carsoncheng » August 14th, 2022, 5:59 am

Achim's p11 in 46G (down from 59G):

Code: Select all

x = 255, y = 74, rule = B3/S23
203bobo$204b2o$204bo3$191bo$189bobo$190b2o$132bo82bo32bo$130b2o81bobo
31bo$131b2o81b2o31b3o$106bo$105bo110bo$105b3o108bobo$210bo5b2o8bo$208b
obo15bo$124bo84b2o15bo$84bobo36bo$85b2o36b3o$85bo129bo10b2o$216b2o7bo
bo$bo119b3o91b2o9bo$2bo118bo132bo$3o119bo129b2o$94bo158b2o$92bobo$93b
2o2bo$97bobo100b2o37bo$97b2o96b3o2bobo35bo$136b2o63bo36b3o$136bobo$112b
2o22bo80b2o$12bobo96bo2bo101bo2bo25bo$13b2o97b2o103b2o25bo$13bo219bob
o8b3o$23bo84bo8bo95bo8bo10b2o5b3o$12b2o7b2o84bobo6bobo75bo17bobo6bobo
10bo5bo$13b2o7b2o83bobo6bobo76bo5bo10bobo6bobo17bo$12bo95bo8bo75b3o5b
2o10bo8bo$22bo166b3o8bobo$21b2o89b2o77bo25b2o$21bobo87bo2bo75bo25bo2b
o$89bo22b2o103b2o$87bobo$88b2o105b3o36bo$127b2o68bo35bobo2b3o$126bobo
67bo37b2o$128bo2b2o$131bobo$131bo49b2o$33b3o67bo78b2o$33bo70bo76bo$34b
o67b3o104bo9b2o$208bobo7b2o$140bo67b2o10bo$100b3o36b2o$102bo36bobo$101b
o107bo15b2o$209bo15bobo$209bo8b2o5bo$118b3o96bobo$120bo98bo$119bo$93b
2o91b3o31b2o$94b2o92bo31bobo$93bo93bo32bo$244b2o$244bobo$244bo3$231bo
$230b2o$230bobo!

User avatar
Stepan Babintsev
Posts: 23
Joined: June 10th, 2022, 8:16 am
Location: Somwhere on forums...

Re: Synthesising Oscillators

Post by Stepan Babintsev » August 15th, 2022, 7:26 am

I will try to do syntheses for all natural p5.
1)xp5_0i6vwv6iz321y01252: 13G:

Code: Select all

x = 161, y = 33, rule = B3/S23
46bo$47b2o$46b2o3$48b2o$50bo$47bo45bo$48b2o44b2o$93b2o3bobo$98b2o$99bo
2$obo53bo35bo30b2o24bo8b2o$b2o52bobo33bobo28bobo24bobo5bobo$bo4b2o48bo
35bo30bo25b2o7bo$6bobo44b3o33b3o28b3o32b3o$6bo45bo35bo30bo34bobo$52bo
35bo30bo25b3o6bobo$bobo49b3o33b3o28b3o24bo7b3o$2b2o52bo35bo30bo22bo11b
o$2bo52bobo33bobo28bobo25b3o4bobo$56bo35bo30bo26bo7bobo$127bobo21bo7bo
$127b2o$13b2o113bo$13bobo107b3o$13bo109bo$124bo2$11b2o$10b2o$12bo!
How to flip R-bee?:

Code: Select all

x = 33, y = 10, rule = B3/S23
b2o21b2o$o2bo19bo2bo$3o21b3o$12bo$5o8bo10b5o$o4bob2o2b4o9bo4bob2o$3o2b
ob2o4bo10b3o2bob2o$bobobo6bo12bobobo$2b2obob2o17b2obob2o$3b3ob2o18b3o
b2o!

mniemiec
Posts: 1472
Joined: June 1st, 2013, 12:00 am

Re: Synthesising Oscillators

Post by mniemiec » August 15th, 2022, 11:23 am

Stepan Babintsev wrote:
August 15th, 2022, 7:26 am
How to flip R-bee?: ...
It's easy to do with 4 gliders. I'm not sure if it can be done with 3.

Code: Select all

x = 50, y = 17, rule = B3/S23
20bo$19bo$6bo12b3o$oboboo11bo$boobboo8bobo$bo14boo$$bboo16boo19boo$bo
bbo15bobbo16bobbo$b3o17b3o17b3o$$b5o15b5o15b5o$bo4boboo11bo4boboo11bo
4boboo$b3obboboo11b3obboboo11b3obboboo$bbobobo15bobobo15bobobo$3boobob
oo13booboboo13booboboo$4b3oboo14b3oboo14b3oboo!

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GUYTU6J
Posts: 1947
Joined: August 5th, 2016, 10:27 am
Location: 拆哪!I repeat, CHINA! (a.k.a. 种花家)
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Re: Synthesising Oscillators

Post by GUYTU6J » August 17th, 2022, 12:30 am

Following the convention in Oscillator Discussion Thread, please crosspost your oscillator synthes[i/e]s on discord in this thread.

Can anyone complete the following p37 traffic light hassler synthesis?

Code: Select all

x = 261, y = 33, rule = B3/S23
2bo38bo$obo4bo28bo4bobo$b2o5b2o24b2o5b2o$7b2o26b2o148bo72bo$186b2o68b
2o$113bo16bo54b2o26bo16bo26b2o$113b3o12b3o82b3o12b3o$116bo10bo60bobo
25bo10bo25bobo$115b2o10b2o60b2o8bo15b2o10b2o15bo8b2o$184bo4bo10bo42bo
10bo4bo$6bo30bo147bo12b3o42b3o12bo$6b2o2b3o18b3o2b2o145b3o72b3o$5bobo
4bo18bo4bobo155b3o12bo24bo12b3o$11bo7b2o2b2o7bo86b2o2b2o71bo10bobo9b2o
2b2o9bobo10bo$19b2o2b2o94b2o2b2o70bo12b2o9b2o2b2o9b2o12bo$97bo48bo$98b
o46bo$96b3o5bo34bo5b3o$18b3o2b3o76bobo13b3o2b3o13bobo76b3o2b3o$103b2o
34b2o$10bo22bo76bo22bo$9bobo20bobo63b3o8bobo20bobo8b3o59b2o3b2o20b2o3b
2o$10bobo18bobo66bo9bobo18bobo9bo61b2o2bo2bo18bo2bo2b2o$11bo20bo66bo
11bo20bo11bo64bobo20bobo$210bo22bo2$4bob2o28b2obo64bob2o28b2obo44b2o
18bob2o28b2obo18b2o$2b3ob2o28b2ob3o60b3ob2o28b2ob3o41bobo16b3ob2o28b2o
b3o16bobo$bo40bo58bo40bo42bo15bo40bo15bo$2b3ob2o7bo12bo7b2ob3o60b3ob2o
7bo12bo7b2ob3o60b3ob2o7bo12bo7b2ob3o$4bobo6b3o12b3o6bobo64bobo6b3o12b
3o6bobo64bobo6b3o12b3o6bobo$4bobo5bo18bo5bobo64bobo5bo18bo5bobo64bobo
5bo18bo5bobo$5bo6b2o16b2o6bo66bo6b2o16b2o6bo66bo6b2o16b2o6bo!
Why do most 2-state OCA rules tend to get a diminishing span of interest and go into oblivion, like lost civilizations leaving little records for their beauty and power?

Here multiflorate splendour blooms forlorn
Midst broken fountains, mouldering walls.

carsoncheng
Posts: 158
Joined: June 11th, 2022, 11:24 pm

Re: Synthesising Oscillators

Post by carsoncheng » August 17th, 2022, 6:09 am

GUYTU6J wrote:
August 17th, 2022, 12:30 am
Can anyone complete the following p37 traffic light hassler synthesis?

Code: Select all

x = 261, y = 33, rule = B3/S23
2bo38bo$obo4bo28bo4bobo$b2o5b2o24b2o5b2o$7b2o26b2o148bo72bo$186b2o68b
2o$113bo16bo54b2o26bo16bo26b2o$113b3o12b3o82b3o12b3o$116bo10bo60bobo
25bo10bo25bobo$115b2o10b2o60b2o8bo15b2o10b2o15bo8b2o$184bo4bo10bo42bo
10bo4bo$6bo30bo147bo12b3o42b3o12bo$6b2o2b3o18b3o2b2o145b3o72b3o$5bobo
4bo18bo4bobo155b3o12bo24bo12b3o$11bo7b2o2b2o7bo86b2o2b2o71bo10bobo9b2o
2b2o9bobo10bo$19b2o2b2o94b2o2b2o70bo12b2o9b2o2b2o9b2o12bo$97bo48bo$98b
o46bo$96b3o5bo34bo5b3o$18b3o2b3o76bobo13b3o2b3o13bobo76b3o2b3o$103b2o
34b2o$10bo22bo76bo22bo$9bobo20bobo63b3o8bobo20bobo8b3o59b2o3b2o20b2o3b
2o$10bobo18bobo66bo9bobo18bobo9bo61b2o2bo2bo18bo2bo2b2o$11bo20bo66bo
11bo20bo11bo64bobo20bobo$210bo22bo2$4bob2o28b2obo64bob2o28b2obo44b2o
18bob2o28b2obo18b2o$2b3ob2o28b2ob3o60b3ob2o28b2ob3o41bobo16b3ob2o28b2o
b3o16bobo$bo40bo58bo40bo42bo15bo40bo15bo$2b3ob2o7bo12bo7b2ob3o60b3ob2o
7bo12bo7b2ob3o60b3ob2o7bo12bo7b2ob3o$4bobo6b3o12b3o6bobo64bobo6b3o12b
3o6bobo64bobo6b3o12b3o6bobo$4bobo5bo18bo5bobo64bobo5bo18bo5bobo64bobo
5bo18bo5bobo$5bo6b2o16b2o6bo66bo6b2o16b2o6bo66bo6b2o16b2o6bo!
Completed in 60G:

Code: Select all

x = 829, y = 37, rule = B3/S23
507bobo$317bo189b2o61bo38bo$316bo191bo59bobo4bo28bo4bobo$316b3o169bo
80b2o5b2o24b2o5b2o$284bo204b2o84b2o26b2o148bo72bo$285bo136bobo63b2o5bo
258b2o68b2o$283b3o31bo104b2o72b2o183bo16bo54b2o26bo16bo26b2o$315b2o
106bo71b2o184b3o12b3o82b3o12b3o$316b2o186bo179bo10bo60bobo25bo10bo25bo
bo$502b2o179b2o10b2o60b2o8bo15b2o10b2o15bo8b2o$400bo8bo93b2o247bo4bo
10bo42bo10bo4bo$401bo5bobo164bo30bo147bo12b3o42b3o12bo$399b3o6b2o7bo
156b2o2b3o18b3o2b2o145b3o72b3o$316bo99bo156bobo4bo18bo4bobo155b3o12bo
24bo12b3o$317bo98b3o160bo7b2o2b2o7bo86b2o2b2o71bo10bobo9b2o2b2o9bobo
10bo$315b3o269b2o2b2o94b2o2b2o70bo12b2o9b2o2b2o9b2o12bo$325bo339bo48bo
$324bo341bo46bo$316bo7b3o168b3o2b3o161b3o5bo34bo5b3o$317b2o267b3o2b3o
76bobo13b3o2b3o13bobo76b3o2b3o$316b2o169bo22bo160b2o34b2o$233bo61bo
101bo22bo65bobo20bobo66bo22bo76bo22bo$233bobo57bobo100bobo20bobo65bobo
18bobo66bobo20bobo63b3o8bobo20bobo8b3o59b2o3b2o20b2o3b2o$78bo12bo50bo
12bo77b2o8bo41bo8b2o101bobo18bobo67bo20bo68bobo18bobo66bo9bobo18bobo9b
o61b2o2bo2bo18bo2bo2b2o$3bo20bo51b3o12b3o46b3o12b3o83b2o43b2o110bo20bo
159bo20bo66bo11bo20bo11bo64bobo20bobo$4b2o16b2o51bo18bo44bo18bo73bo9b
2o41b2o9bo481bo22bo$3b2o18b2o50b2o16b2o44b2o16b2o71bobo63bobo26b2obo
152bob2o28b2obo$134b2o95b2o63b2o27b2ob3o60bob2o28b2obo52b3ob2o28b2ob3o
53bob2o28b2obo64bob2o28b2obo44b2o18bob2o28b2obo18b2o$134bobo194bo57b3o
b2o28b2ob3o49bo40bo50b3ob2o28b2ob3o60b3ob2o28b2ob3o41bobo16b3ob2o28b2o
b3o16bobo$b2o22b2o41b2o65bo28b2o45bo12bo79bo12bo7b2ob3o57bo40bo49b3ob
2o7bo12bo7b2ob3o50bo40bo58bo40bo42bo15bo40bo15bo$obo22bobo39bobo94bobo
42b3o12b3o13b2o45b2o13b3o12b3o6bobo60b3ob2o7bo12bo7b2ob3o52bobo6b3o12b
3o6bobo53b3ob2o7bo12bo7b2ob3o60b3ob2o7bo12bo7b2ob3o60b3ob2o7bo12bo7b2o
b3o$2bo22bo43bo94bo43bo18bo12bobo43bobo12bo18bo5bobo62bobo6b3o12b3o6bo
bo54bobo5bo18bo5bobo55bobo6b3o12b3o6bobo64bobo6b3o12b3o6bobo64bobo6b3o
12b3o6bobo$72b2o86b2o46b2o16b2o12bo47bo12b2o16b2o6bo63bobo5bo18bo5bobo
55bo6b2o16b2o6bo56bobo5bo18bo5bobo64bobo5bo18bo5bobo64bobo5bo18bo5bobo
$73b2o84b2o42b2o26b2o63b2o94bo6b2o16b2o6bo147bo6b2o16b2o6bo66bo6b2o16b
2o6bo66bo6b2o16b2o6bo$72bo3b2o78b2o3bo41bobo24bobo63bobo$76bobo76bobo
46bo26bo65bo$76bo80bo!

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GUYTU6J
Posts: 1947
Joined: August 5th, 2016, 10:27 am
Location: 拆哪!I repeat, CHINA! (a.k.a. 种花家)
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Re: Synthesising Oscillators

Post by GUYTU6J » August 17th, 2022, 10:26 pm

This post was planned to deliver last night, but a fatal forums error occured.
This soup allows for a 7-glider xs19_08e1eoz69d11 (aka R49 catalyst) synthesis:

Code: Select all

x = 21, y = 36, rule = B3/S23
11bobo$12b2o$12bo3$14b3o$16bo$15bo3b2o$3bo14b2o$4b2o14bo$3b2o4$15bo$
14bobo$14bobo$15bo16$2o$b2o$o!
This soup provides a reaction for a two-sided synthesis, tied with the existing one in terms of 8G cost:

Code: Select all

x = 35, y = 24, rule = B3/S23
33bo$32bobo$32bobo$21bo11bo$22bo$20b3o$16b3o$18bo$17bo7$25bo$25bo$3o
22bo$2bo$bo19b3o3b3o2$25bo$25bo$25bo!

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs19_08e1eoz69d11 costs 8 gliders (true).
#CLL state-numbering golly
x = 96, y = 17, rule = B3/S23
52bo$51bo$39bo11b3o$40bo$6bo31b3o$5bo$5b3o79b2o$obo44bo37b3obo$b2o
44b2o3b2o30bo4bo2bo$bo39b3o2bobo2bobo31b3obobobo$43bo7bo35bobob2o$
42bo7b2o36bo2$93b3o$86b2o5bo$85bobo6bo$87bo!
The new 7G synthesis can be used to construct some Herschel loops.
p67, submitted when forums crashed:

Code: Select all

x = 971, y = 180, rule = B3/S23
bo94bobo$2bo93b2o$3o94bo3$100bo$100bobo$100b2o2$239bo$237bobo$238b2o3$
457bo$276bobo178bobo$276b2o179b2o$277bo2$238bo210bo$236bobo208bobo3bob
o$237b2o209b2o3b2o$454bo$442bobo$13bo90bobo336b2o54bo149bo$11bobo90b2o
139bo197bo54bo150bobo$12b2o91bo100bobo37bo251b3o148b2o$207b2o35b3o397b
o42bo$17bobo187bo434bobo42bobo$18b2o468bo154b2o34bo7b2o$18bo470b2o163b
o25b2o163b2o7bo$239b2o198b2o22bo24b2o7bobo139b2o11b3o8bo15b2o158b2o4b
2o5b3o8bo$106bo133bo199bo20b3o33b2o141bo10bo9b3o176bo10bo9b3o19b2o$
106bobo131bobo197bobo17bo37bo141bobo8b2o7bo179bobo8b2o7bo21bobo$106b2o
133b2o198b2o17b2o27bo151b2o17b2o179b2o17b2o20bo$80bo406bobo185bo205b2o
$78bobo407b2o183bobo$79b2o593b2o18b2o198b2o$680bo13bo199bo$680bobo9bob
o197bobo$680b2o10b2o198b2o$878b2o$246bo42b2o155bo42b2o155bo42b2o155bo
31b2o9b2o$35bo209bobo40bobo154bobo40bobo154bobo40bobo154bobo40bobo$33b
obo209bo2bo39bo156bo2bo39bo156bo2bo39bo156bo2bo39bo$34b2o201bo8b2o41b
4o135b2o16b2o41b4o135b2o16b2o41b4o135b2o16b2o41b4o$235bobo55bo134bobo
62bo134bobo62bo134bobo62bo$236b2o11b2o38b2ob2o135bo19b2o38b2ob2o126bo
8bo19b2o38b2ob2o135bo19b2o38b2ob2o$24b2o223bobo38bobo156bobo38bobo128b
o27bobo38bobo156bobo38bobo$25b2o224bo38bobo158bo16b2o20bobo126b3o29bo
16b2o20bobo158bo16b2o20bobo$24bo33b2o191b2o16bo21bo159b2o15bo22bo159b
2o15bo22bo159b2o15bo22bo$58bobo206bobo199b3o197b3o197b3o$58bo209b2o
201bo199bo152b2o45bo$230bo593bo$228bobo594b3o$229b2o50bo340bo204bo$
279bobo340b2o$280b2o151b2o186bobo9b2o198b2o$433b2o198b2o198b2o$484b2o
198b2o198b2o$237b2o245b2o198b2o9bobo186b2o$237bobo455b2o$237bo50b2o
406bo194bo$288bobo600b3o$288bo605bo$249b2o196bo199bo199bo45b2o$249bobo
195b3o197b3o197b3o$27bo199bo21bo16b2o159bo22bo15b2o159bo22bo15b2o159bo
22bo15b2o$26bobo73b2o122bobo38bo158bobo20b2o16bo158bobo20b2o16bo29b3o
126bobo20b2o16bo$26bobo73bobo121bobo38bobo156bobo38bobo156bobo38bobo
27bo128bobo38bobo$25b2ob2o72bo122b2ob2o38b2o155b2ob2o38b2o19bo135b2ob
2o38b2o19bo8bo126b2ob2o38b2o19bo$25bo31b2o166bo21bo177bo62bobo134bo62b
obo134bo62bobo$26b4o28b2o166b4o17b2o22b2o153b4o41b2o16b2o135b4o41b2o
16b2o135b4o41b2o16b2o$30bo26bo172bo15bobo21bo2bo156bo39bo2bo156bo39bo
2bo156bo39bo2bo$28bobo197bobo40bobo154bobo40bobo154bobo40bobo154bobo
40bobo$28b2o198b2o42bo155b2o42bo155b2o42bo155b2o9b2o31bo$839b2o44bo$
625b2o10b2o186b2o57b2o$624bobo9bobo185bobo53bo3bobo$66bo557bo13bo185bo
54b2o$66b2o555b2o18b2o178b2o49b2o3bobo$65bobo164bo196b2o212bobo229b2o$
131bo100b2o195bobo211bo192b2o36bo$130b2o99bobo195bo227b2o177bo20b2o$
130bobo287bo237bo175bobo21bo$420b2o233b3o176b2o19b3o$88b2o187b2o140bob
o7b2o46b2o159b2o15bo21b2o176bo21b2o$88bobo9bo176bo150b2o47bo159b2o38bo
199bo$88bo10b2o177b3o149bo47b3o149b2o7bo38b3o197b3o$99bobo178bo30bo
162bo5bo148bobo48bo199bo$272b3o35b2o161b2o156bo$105b2o165bo37bobo105b
3o52bobo$105bobo165bo146bo$105bo313bo481b2o$447b3o451bobo$449bo446b2o
3bo$448bo447bobo$857b3o36bo$859bo$473bo384bo$472b2o$472bobo2$44b2o$45b
2o2b2o$44bo3bobo$50bo$105bo$104b2o$104bobo$17b2o899b2o$16bobo898b2o$
18bo894b2o4bo$841bo70b2o$841b2o71bo$21bo818bobo$21b2o$20bobo10$934b3o$
36b2o896bo$37b2o890b3o3bo$36bo787b2o103bo$823bobo104bo$825bo11$952bo$
951b2o$947bo3bobo$946b2o$807b2o137bobo$808b2o$807bo11$968b2o$968bobo$
963b2o3bo$963bobo$790b3o170bo$792bo$791bo2$951bo$950b2o$950bobo$788bo$
788b2o155b2o$787bobo155bobo$945bo3$784b2o$783bobo$785bo!
p77:

Code: Select all

x = 1059, y = 248, rule = B3/S23
628bo$628bobo$628b2o$609bo$607bobo$608b2o6$20bobo582bo$21b2o6bobo571b
2o66bo$21bo8b2o194bo199bo177b2o20bo43bo246b2o7bo$30bo180b2o11b3o8bo
175b2o11b3o8bo175b2o11b3o8bo34b3o238b2o4b2o5b3o8bo$212bo10bo9b3o176bo
10bo9b3o122bo53bo10bo9b3o276bo10bo9b3o$212bobo8b2o7bo179bobo8b2o7bo
126b2o51bobo8b2o7bo279bobo8b2o7bo$48b2o138bo18bo5b2o17b2o14b2o163b2o
17b2o14b2o108b2o53b2o17b2o14b2o263b2o17b2o14b2o$48b2o139bo15bobo40b2o
198b2o198b2o298b2o$18b3o160bo5b3o16b2o$20bo6b3o152b2o$19bo9bo24b2o125b
2o71b2o198b2o198b2o298b2o$28bo25b2o198b2o198b2o198b2o298b2o$50b2o198b
2o198b2o198b2o298b2o$50b2o198b2o198b2o198b2o298b2o$418bo199bo299bo$
417bobo197bobo297bobo$2o415bo2bo196bo2bo296bo2bo$b2o397b2o16b2o180b2o
16b2o280b2o16b2o35b2o$o25b2o372bobo197bobo297bobo52b2o$26bobo372bo19b
2o178bo19b2o278bo19b2o$26bo394bobo197bobo297bobo$423bo160bo38bo299bo$
423b2o160bo37b2o298b2o$583b3o2$226b3o651b2o$226bo653b2o7b2o$227bo184b
2o198b2o275b2o21b2o$213bo198b2o172b3o23b2o298b2o$212b2o374bo$212bobo
146bo225bo293bo$362b2o516bobo$361b2o517bobo$207b2o226b2o198b2o244bo53b
2o$206bobo225bobo197bobo36b3o258bobo$208bo198b2o25bo172b2o25bo38bo233b
2o25bo$237bo168bo2bo3b2o18b2o171bo2bo3b2o18b2o39bo231bo2bo3b2o18b2o$
236b2o169b2o4b2o192b2o4b2o292b2o4b2o$207b2o27bobo410bo$208b2o438bo$
207bo440b3o$570bo$571bo$228b2o7b3o329b3o371b2o$228bobo6bo153bo262bobo
9bo276b2o$228bo9bo153bo252b3o6b2o9bo$194b2o194b3o252bo9bo9b3o206b2o74b
o$193bobo53b2o395bo227bo75b3o$195bo53bobo329bo293b3o75bo$249bo310b3o9b
o9bo294bo74b2o$220bo179bo11bobo147bo9b2o6b3o$220b2o176bobo5bo6b2o146bo
9bobo309b2o$219bobo27b2o148b2o6b2o4bo242b3o224b2o$248b2o156b2o248bo$
250bo406bo$375bo201b3o$373bobo12bo190bo$218b3o153b2o13bo188bo$220bo
166b3o223b2o4b2o292b2o4b2o$219bo159bobo171bo39b2o18b2o3bo2bo271b2o18b
2o3bo2bo$380b2o172bo38bo25b2o272bo25b2o$380bo171b3o36bobo297bobo$240b
2o349b2o298b2o53bo$234bo4b2o704bobo$233b2o6bo703bobo$233bobo189b2o213b
o305bo$424b2o213bo$426bo187b2o23b3o272b2o$614b2o298b2o21b2o$937b2o7b2o
$946b2o2$642b3o$603b2o37bo260b2o$604bo38bo260bo$604bobo297bobo$605b2o
19bo278b2o19bo$625bobo243b2o52bobo$608b2o16b2o243b2o35b2o16b2o$607bo2b
o296bo2bo$608bobo297bobo$609bo299bo$576b2o298b2o44bo$576b2o298b2o43b2o
$572b2o298b2o43bo3bobo$572b2o298b2o42b2o$911b2o3bobo$393b3o214bo301b2o
$395bo182b2o31bo266b2o31bo$394bo183b2o14b2o13b3o56b2o208b2o14b2o$595bo
71b2o226bo$379b2o211b3o74bo222b3o$378bobo174b3o34bo299bo21b2o$380bo
176bo64b2o290bo$365b3o188bo66b2o290b3o$367bo244bo9bo294bo$366bo16bo
228b2o$355b2o26b2o226bobo$354bobo25bobo$356bo75b2o$432bobo$432bo21bo$
453b2o485b3o$453bobo484bo$352b2o581b3o3bo$351bobo538b2o41bo$353bo48b2o
487bobo42bo$402bobo488bo$402bo6$408b2o$344b2o62bobo$343bobo62bo$345bo$
433b2o$432b2o$434bo$960b2o$362b2o595b2o$361bobo591b2o4bo$363bo509bo80b
2o$873b2o81bo$872bobo2$432b2o$431b2o$433bo10$979b2o$979bobo$974b2o3bo$
974bobo$853b3o118bo$855bo$854bo13$999bo$998b2o$994bo3bobo$993b2o$834b
2o157bobo$835b2o$834bo14$1017b3o$1017bo$1012b3o3bo$815b2o195bo$814bobo
196bo$816bo14$1037b2o$1036b2o$1032b2o4bo$796bo234b2o$796b2o235bo$795bo
bo14$1056b2o$1056bobo$1051b2o3bo$1051bobo$776b3o272bo$778bo$777bo2$
1039bo$1038b2o$1038bobo$774bo$774b2o257b2o$773bobo257bobo$1033bo3$770b
2o$769bobo$771bo!
More coming soon...
Why do most 2-state OCA rules tend to get a diminishing span of interest and go into oblivion, like lost civilizations leaving little records for their beauty and power?

Here multiflorate splendour blooms forlorn
Midst broken fountains, mouldering walls.

User avatar
Stepan Babintsev
Posts: 23
Joined: June 10th, 2022, 8:16 am
Location: Somwhere on forums...

Re: Synthesising Oscillators

Post by Stepan Babintsev » August 18th, 2022, 2:39 am

I cant find any long bookend making components, so there is mine, xp8_3hu06664abw66 in 10G, from the first G1 soup.

Code: Select all

x = 115, y = 26, rule = B3/S23
101bo$101bobo$101b2o$98bo11bo$96bobo9b2o$97b2o10b2o$obo$b2o$bo$63b2o
34b2o8b3o$56bo6b2o34b2o8bo$55bobo52bo$10bo44bobo$10b2o44bo6b3o33b3o$9b
obo52b2o34b2o10b2o$52b3o6b2o34b2o13bobo$13b3o38bo6b3o33b3o12bo$13bo39b
o8bobo33bobo$14bo48b2o34b2o5$20b2o$19b2o$21bo!
Well, i found 1 component, but it needs boat and 4 more gliders, so may be my component (5G) is the best for that?
EDIT: i found wrong component
EDIT 2: Random p3 (xp3_4air2a4oz04aa611) 11G:

Code: Select all

x = 91, y = 28, rule = B3/S23
59bo$60bo$58b3o28bo$5bo12bo69bo$5bobo9bo70b3o$5b2o10b3o55b2o$2bo71bo2b
o$obo70bo2b2o7b2o$b2o17b3o42bo7bobo2b2o4bo2bo$20bo44bo6b2ob2obobo4bobo
$21bo43bo7bo2bobobo5bo$12bo60bobo3bo$11bo62bo$11b3o3$15bo$7b2o5b2o$6bo
bo5bobo$8bo61bo$69bobo$69bobo$12b3o55bo$12bo$13bo$65b3o$67bo$66bo!
EDIT 3: Another component with block and pond:

Code: Select all

x = 63, y = 33, rule = B3/S23
11bo$9b2o$10b2o16$obo2bo27b2o19b2o$b2o2bobo25bo5b2o13bo5b2o$bo3b2o29bo
2b2o16bo2b2o$35b2o19b2o2$60b2o$39b2o18bo2bo$34b2o3bobo17bo2bo$35b2o2bo
20b2o$34bo2$52b2o$53b2o3bo$52bo4b2o$57bobo!

mniemiec
Posts: 1472
Joined: June 1st, 2013, 12:00 am

Re: Synthesising Oscillators

Post by mniemiec » August 18th, 2022, 8:02 am

Stepan Babintsev wrote:
August 18th, 2022, 2:39 am
I cant find any long bookend making components, so there is mine, ... Well, i found 1 component, but it needs boat and 4 more gliders, so may be my component (5G) is the best for that?
Here are the two main components that I use to add long bookends in both orientations. The second one is equivalent to yours.

Code: Select all

x = 94, y = 43, rule = B3/S23
65bo$26bo32boboboo$27boo31boobboo$26boo32bo$bo21boo$bbo19bobo7bo28boo
26boo$3o21bo6bobo26bobbo25bo3bo$32boo26b4o26b4o$$bboo28boo28boo28boo$
3bo29bo29bo29bo$o29bo29bo29bo$oo28boo28boo28boo17$60bobo$27bo33boo$28b
o32bo$26b3o$30bo35bo$29bo34boo$29b3o27boo4boo22boo$59boo7boo19bo3bo$
68bobo19b4o$68bo$30boo28boo28boo$30bo29bo29bo$33bo29bo29bo$32boo28boo
28boo!
My current syntheses for all four of these take 10 gliders. The out-of-date version of my page https://conwaylife.com/ref/mniemiec/p8.htm#p8-24 shows 11-glider syntheses, because at the time, the 5-glider blocker synthesis was not yet know.
Stepan Babintsev wrote:
August 18th, 2022, 2:39 am
EDIT 2: Random p3 ...
Very nice!

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GUYTU6J
Posts: 1947
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Re: Synthesising Oscillators

Post by GUYTU6J » August 18th, 2022, 12:04 pm

EDIT2: p61 Herscel loop/glider gun

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xp61_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 costs 263 gliders (true).
#CLL state-numbering golly
x = 2082, y = 588, rule = B3/S23
1617bo$1618bo$1616b3o$1621bo$1622bo$1620b3o11$1631bobo$1632b2o$
1632bo$1635bobo$1636b2o$1636bo10$1648bo$1646bobo$1647b2o$1652bo$
1650bobo$1651b2o10$1662bo$1663b2o$1662b2o$1666bo$1667b2o$1666b2o
10$1678bo$1679bo$1677b3o$1682bo$1683bo$1681b3o11$1692bobo$1693b2o$
1693bo$1696bobo$1697b2o$1697bo10$1709bo$1707bobo$1708b2o$1713bo$
1711bobo$1712b2o10$1723bo$1724b2o$1723b2o$1727bo$1728b2o$1727b2o
10$1739bo$1740bo$1738b3o$1743bo$1744bo$1742b3o11$1753bobo$1754b2o$
1754bo$1757bobo$1758b2o$1758bo10$1770bo$1768bobo$1769b2o$1774bo$
1772bobo$1773b2o10$1784bo$1785b2o$1784b2o$1788bo$1789b2o$1788b2o
10$1800bo$1801bo$1799b3o$1804bo$1805bo$1803b3o11$1814bobo$1815b2o$
1815bo$1818bobo$1819b2o$1819bo10$1831bo$1829bobo$1830b2o$1835bo$
1833bobo$1834b2o10$1845bo$1846b2o$1845b2o$1849bo$1850b2o$1849b2o
10$1861bo$1862bo$130bobo1727b3o$130b2o1733bo$21bo109bo1734bo$19bob
o1842b3o$20b2o4$62bo$63b2o412bo$62b2o413bobo$477b2o3$471bo1403bobo
$469b2o1405b2o$27bo442b2o1404bo$25bobo1851bobo$26b2o1852b2o$1880bo
4$123bo$122bo$122b3o836bobo$460bobo320bobo176b2o$460b2o321b2o177bo
538bo$461bo322bo717bo$760bobo27bo185bo523b3o389bo$761b2o27bobo182b
o547bobo364bobo$5bo5bo4bo161bo582bo28b2o172bo10b3o129bo415b2o366b
2o$6b2obobo5bo161bo269bo512bobo141bo417bo371bo$5b2o3b2o3b3o159b3o
270bo219bo105bo186b2o141b3o785bobo$221bo226b3o218bo107b2o198bo917b
2o$220bo39bo408b3o4bo99b2o197b2o436bo$220b3o35b2o415bo300b2o436bo$
241b2o16b2o161b2o38bobo144b2o64b3o109bo12b2o210b2o74b2o146b2o74b2o
98b3o65b2o74b2o429b2o74b2o$242bo180bo11bo26b2o146bo11bo9bo153bo14b
o11bo9bo38bo130b2o18bo11bo9bo38bo13bo128b2o18bo11bo9bo38bo13bo106b
obo39b2o18bo11bo9bo38bo13bo411b2o18bo11bo9bo38bo13bo$242bobo178bob
o9b3o25bo146bobo9b3o5b3o31bo121b3o12bobo9b3o5b3o29bo8b3o71bo26bo
30bo18bobo9b3o5b3o29bo8b3o9bobo103b2o24bo18bobo9b3o5b3o29bo8b3o9bo
bo106b2o15b2o24bo18bobo9b3o5b3o29bo8b3o9bobo386b2o24bo18bobo9b3o5b
3o29bo8b3o9bobo$182bo60bobo178bobo11bo172bobo11bo3bo35b2o135bobo
11bo3bo32b3o9bo71bo23b2o20b2o6b3o20bobo11bo3bo32b3o9bo8b2o105bo13b
2o6b3o20bobo11bo3bo32b3o9bo8b2o108bo16bo13b2o6b3o20bobo11bo3bo32b
3o9bo8b2o367b2o19bo13b2o6b3o20bobo11bo3bo11b2o19b3o9bo8b2o$180bobo
61bo3b2o175bo3b2o6b2o173bo3b2o6b2o3b2o33b2o137bo3b2o6b2o3b2o34bo7b
2o69b3o24b2o19b2o6bo23bo3b2o6b2o3b2o34bo7b2o115bobo11b2o6bo23bo3b
2o6b2o3b2o34bo7b2o135bobo11b2o6bo23bo3b2o6b2o3b2o34bo7b2o377bobo
18bobo11b2o6bo23bo3b2o6b2o3b2o10bobo21bo7b2o$181b2o65b2o179b2o24bo
160b2o189b2o46b2o15bo146b2o46b2o125b2o47b2o46b2o145b2o47b2o46b2o
388bo19b2o47b2o25bo20b2o$456bo214bo200bobo5b2o1043b2o94b2o$261b2o
191b3o213bo7b2o188b2o2b2o5b2o284b2o242b2o495bo9b2o$261bobo198bo
207b3o4b2o188b2o12bo283bobo227bo13bobo495b2o7bobo$183bo77bo199bo
217bo3bo185bo296bo226b2o15bo495b2o9bo$184bo276b3o218bo272bobo436b
2o514bo$182b3o45b2o179b2o185b2o82b3o104b2o164b2o44b2o222b2o242b2o
440b2o63b2o$230b2o47bo131b2o185b2o46b2o19bobo119b2o46b2o101bobo13b
o44b2o46b2o126b2o46b2o46b2o146b2o46b2o46b2o376bo9bo4b2o16b2o46b2o
46b2o$277b2o367b2o20b2o167b2o102b2o106b2o126b2o94b2o31bo114b2o94b
2o31bo344b3o7b2o21b2o94b2o31bo$179bo98b2o388bo272bo363bobo241bobo
346bo5bobo149bobo$177bobo302bo235bo585bo2bo14bo225bo2bo345b2o156bo
2bo$178b2o301bo237b2o584b2o15bobo68bo155b2o16b2o487b2o16b2o$294bo
186b3o234b2o602b2o67bobo172bobo504bobo$227b2o65bobo111b2o185b2o
189b2o78b2o130b2o78b2o142b2o78b2o88b2o2b2o68b2o78b2o19bo405b2o78b
2o19bo$227bo19b2o39bo5b2o85b2o25bo19b2o138b2o25bo19b2o47b2o93b2o
25bo19b2o47b2o8bobo70bo32b2o25bo19b2o47b2o8bobo115b2o25bo19b2o47b
2o8bobo93b2o40b2o25bo19b2o47b2o8bobo27bo370b2o25bo19b2o47b2o8bobo$
208b2o3b2o10bobo18bobo11b2o27b2o86bo3b2o6b2o3b2o10bobo18bobo11b2o
6bo23bo4b3o83bo3b2o6b2o3b2o10bobo18bobo11b2o6bo23bo3b2o89bo3b2o6b
2o3b2o10bobo18bobo11b2o6bo23bo3b2o8bo73bo27bo3b2o6b2o3b2o10bobo18b
obo11b2o6bo23bo3b2o8bo113bo3b2o6b2o3b2o10bobo18bobo11b2o6bo23bo3b
2o8bo12bo81bo38bo3b2o6b2o3b2o10bobo18bobo11b2o6bo23bo3b2o8bo29bobo
364bo3b2o6b2o3b2o10bobo18bobo11b2o6bo23bo3b2o8bo$209bo3bo11b2o19bo
13b2o26b2o15bo70bobo11bo3bo11b2o19bo13b2o6b3o20bobo3bo84bobo11bo3b
o11b2o19bo13b2o6b3o20bobo92bobo11bo3bo11b2o19bo13b2o6b3o20bobo11b
2o71b3o26bobo11bo3bo11b2o19bo13b2o6b3o20bobo11b2o76bo35bobo11bo3bo
11b2o19bo13b2o6b3o20bobo11b2o10b2o120bobo11bo3bo11b2o19bo13b2o6b3o
20bobo11b2o29b2o364bobo11bo3bo11b2o19bo13b2o6b3o20bobo11b2o$63b2o
69bo71b3o5b3o28b2o56b2o70bobo9b3o5b3o28b2o24bo18bobo5bo82bobo9b3o
5b3o28b2o24bo18bobo92bobo9b3o5b3o28b2o24bo18bobo82bo30bobo9b3o5b3o
28b2o24bo18bobo80bo7bobo34bobo9b3o5b3o28b2o24bo18bobo25b2o118bobo
9b3o5b3o28b2o24bo18bobo408bobo9b3o5b3o28b2o24bo18bobo$64b2o68bobo
69bo9bo87b2o69bo11bo9bo53b2o18bo90bo11bo9bo53b2o18bo94bo11bo9bo53b
2o18bo84b2o29bo11bo9bo53b2o18bo80bobo8b2o34bo11bo9bo53b2o18bo147bo
11bo9bo53b2o18bo410bo11bo9bo53b2o18bo41b2o$50bo12bo70b2o163b3o72b
2o94b2o89b2o94b2o93b2o94b2o83bobo28b2o94b2o81b2o18b2o23b2o94b2o
121b2o23b2o94b2o384b2o23b2o94b2o42bo$51b2o246bo862bo2bo149b2o89bo
2bo503bo2bo159b3o$50b2o248bo862bobo148b2o91bobo163b2o339bobo159bo$
937b2o225bo151bo91bo163b2o341bo$938b2o3b2o222b2o242b2o149b2o10bo
314b3o26b2o149b2o$496bo440bo5bo223bo243bo150b2o327bo26bo150b2o$
495bo448b3o208bo12b3o225b2o14b3o475bo12b2o14b3o$39bo240b2o213b3o
448bo158bo39bo3bo3bobo14bo152bo71bobo16bo487bobo16bo$38bo241bobo
224bo596b2o37bobo3b2o3b2o166b2o71bo506bo$26bo11b3o239bo225bo597bob
o37b2o2bobo171bobo69b2o505b2o$27bo458bo13bo5b3o30bo$25b3o458bobo
11bobo36bobo$36bobo106bo340b2o12b2o37b2o$37b2o105bo965bo$37bo69b2o
29bobo3b3o34b2o308bo617b2o$106b2o30b2o42b2o306b2o47b2o139bo51b2o
137bo72b2o137bo25bobo56b2o137bo89b2o13b2o137bo352b2o13b2o137bo$
108bo18bobo9bo41bo308bobo47b2o138b3o37b3o9b2o137b3o70b2o137b3o64bo
17b2o137b3o86bobo13b2o137b3o349bobo13b2o137b3o$31bo95b2o410bo143bo
38bo151bo211bo63b2o158bo85bo157bo348bo157bo$32bo23bo33b2o36bo553bo
bo36bo151bobo209bobo61bobo157bobo83b2o156bobo346b2o156bobo$30b3o
21bobo33bobo21b3o426bo139bo50bo139bo71bo139bo83bo139bo103bo139bo
319b2o45bo139bo$18bo36b2o33bo23bo427bobo188bobo151bo57bobo221bobo
157bobo81bobo156b2o301b2o43bobo156b2o$18b2o95bo427bo143bo46bo151bo
59bo223bo158b2o83bo157bo301bo46bo157bo$7bo9bobo18bo270bo50bobo181b
3o138b2o48b3o137b2o9b3o58b3o137b2o82b3o137b2o17bo84b3o137b2o13bobo
349b3o137b2o13bobo$7b2o30b2o266b2o52b2o183bo139b2o49bo137b2o44bobo
25bo137b2o84bo137b2o104bo137b2o13b2o352bo137b2o13b2o$3o3bobo29b2o
69bo198b2o51bo560b2o$2bo105b2o812bo$bo106bobo240b2o12b2o319b2o653b
obo2bo39bo$119b3o228bobo11bobo318bobo653b2o3bobo38b2o$119bo224b3o
5bo13bo320bo654bo3b2o38b2o$106b3o11bo89bo135bo579bobo227bobo171bob
o2b2o236b2o505b2o$108bo99bobo134bo581b2o228b2o166b2o3b2o3bobo235bo
7bo498bo$107bo101b2o144b3o569bo158bo70bo152bo14bobo3bo3bo218bo16bo
bo7bobo477bo16bobo$357bo728b3o221b3o12bo228b3o14b2o8b2o478b3o14b2o
$356bo732bo5bo217bo91b2o150bo354b2o150bo$1088b2o3b2o217b2o91b2o
149b2o301b2o51b2o149b2o$1094b2o68bo151bo243bo297bobo206bo$95b2o93b
o974b2o148bobo241bobo298bo45bo159bobo$94b2o95bo972b2o149bo2bo240bo
2bo341b3o159bo2bo10b2o$11b2o70bo12bo92b3o189b2o94b2o89b2o94b2o93b
2o94b2o114b2o94b2o28bobo95b2o94b2o23b2o18b2o101b2o94b2o23b2o341bo
42b2o94b2o23b2o11b2o$10bobo68b2o102b2o87bo9bo96bo18b2o53bo9bo11bo
90bo18b2o53bo9bo11bo94bo18b2o53bo9bo11bo115bo18b2o53bo9bo11bo29b2o
96bo18b2o53bo9bo11bo34b2o8bobo100bo18b2o53bo9bo11bo367b2o41bo18b2o
53bo9bo11bo$12bo69b2o102b2o56b2o28b3o5b3o88bo5bobo18bo24b2o28b3o5b
3o9bobo88bobo18bo24b2o28b3o5b3o9bobo92bobo18bo24b2o28b3o5b3o9bobo
113bobo18bo24b2o28b3o5b3o9bobo30bo67b2o25bobo18bo24b2o28b3o5b3o9bo
bo34bobo7bo100bobo18bo24b2o28b3o5b3o9bobo408bobo18bo24b2o28b3o5b3o
9bobo$185bo15b2o26b2o13bo19b2o11bo3bo92bo3bobo20b3o6b2o13bo19b2o
11bo3bo11bobo88bobo20b3o6b2o13bo19b2o11bo3bo11bobo79b2o11bobo20b3o
6b2o13bo19b2o11bo3bo11bobo100b2o11bobo20b3o6b2o13bo19b2o11bo3bo11b
obo26b3o71b2o10b2o11bobo20b3o6b2o13bo19b2o11bo3bo11bobo35bo96b2o
11bobo20b3o6b2o13bo19b2o11bo3bo11bobo35b2o6b2o350b2o11bobo20b3o6b
2o13bo19b2o11bo3bo11bobo35b2o$200b2o27b2o11bobo18bobo10b2o3b2o89b
3o4bo23bo6b2o11bobo18bobo10b2o3b2o6b2o3bo85b2o3bo23bo6b2o11bobo18b
obo10b2o3b2o6b2o3bo80bo8b2o3bo23bo6b2o11bobo18bobo10b2o3b2o6b2o3bo
101bo8b2o3bo23bo6b2o11bobo18bobo10b2o3b2o6b2o3bo27bo72bo12bo8b2o3b
o23bo6b2o11bobo18bobo10b2o3b2o6b2o3bo133bo8b2o3bo23bo6b2o11bobo18b
obo10b2o3b2o6b2o3bo36bo7bobo349bo8b2o3bo23bo6b2o11bobo18bobo10b2o
3b2o6b2o3bo36bo$195b2o5bo39b2o19bo159b2o19bo25b2o89b2o47b2o19bo25b
2o82bobo8b2o47b2o19bo25b2o103bobo8b2o47b2o19bo25b2o32bo82bobo8b2o
47b2o19bo25b2o135bobo8b2o47b2o19bo25b2o41b3o4bo349bobo8b2o47b2o19b
o25b2o41b3o$194bobo65b2o179b2o185b2o109b2o78b2o130b2o78b2o142b2o
78b2o142bo19b2o78b2o70bo334bo19b2o78b2o70bo$196bo172b3o517b2o266b
2o241bobo504bobo$311b2o58bo516b2o266bobo15b2o224b2o16b2o487b2o16b
2o$311bobo56bo519bo267bo14bo2bo240bo2bo503bo2bo$211b2o98bo246bo
532bo81bobo241bobo504bobo$212b2o343b2o20b2o189b2o210b2o106b2o82bo
31b2o94b2o80b2o32bo31b2o94b2o296bo80bo31b2o94b2o$211bo47b2o179b2o
115bobo19b2o46b2o141b2o46b2o162b2o46b2o44bo13bobo113b2o46b2o46b2o
79bobo64b2o46b2o46b2o296b2o111b2o46b2o46b2o$259b2o45b3o131b2o100b
3o82b2o189b2o210b2o44b2o176b2o129bo112b2o343bobo159b2o$306bo82b3o
152bo530bobo$229bo77bo83bo151bo3bo191bo574bo243bo506bo$227bobo160b
o157b2o4b3o170bo12b2o571bobo241bobo504bobo$228b2o166b3o148b2o7bo
171b2o5b2o2b2o573b2o242b2o505b2o$396bo158bo171b2o5bobo1223b2o94b2o
$241b2o65b2o87bo24b2o185b2o125bo15b2o46b2o162b2o46b2o174b2o46b2o
47b2o57b3o85b2o46b2o47b2o408b2o20bo25b2o47b2o19bo$241b2o3bo61bobo
103b2o6b2o3bo133b2o33b2o3b2o6b2o3bo128b2o7bo34b2o3b2o6b2o3bo149b2o
7bo34b2o3b2o6b2o3bo23bo6b2o19b2o24b3o81b2o7bo34b2o3b2o6b2o3bo23bo
6b2o11bobo56bo6b2o70b2o7bo34b2o3b2o6b2o3bo23bo6b2o11bobo398b2o7bo
21bobo10b2o3b2o6b2o3bo23bo6b2o11bobo18bobo$245bobo60bo105bo11bobo
131b2o35bo3bo11bobo127bo9b3o32bo3bo11bobo138b2o8bo9b3o32bo3bo11bob
o20b3o6b2o20b2o23bo73b2o8bo9b3o32bo3bo11bobo20b3o6b2o13bo57bo4b2o
61b2o8bo9b3o32bo3bo11bobo20b3o6b2o13bo16bo371b2o8bo9b3o19b2o11bo3b
o11bobo20b3o6b2o13bo19b2o$246bobo140bo25b3o9bobo132bo31b3o5b3o9bob
o127b3o8bo29b3o5b3o9bobo12b3o121bobo9b3o8bo29b3o5b3o9bobo18bo30bo
26bo71bobo9b3o8bo29b3o5b3o9bobo18bo24b2o63bo59bobo9b3o8bo29b3o5b3o
9bobo18bo24b2o15b2o369bobo9b3o8bo29b3o5b3o9bobo18bo24b2o$248bo140b
2o26bo11bo164bo9bo11bo129bo38bo9bo11bo14bo121bo13bo38bo9bo11bo18b
2o128bo13bo38bo9bo11bo18b2o148bo13bo38bo9bo11bo18b2o39bobo369bo13b
o38bo9bo11bo18b2o$230b2o16b2o138bobo38b2o118b3o64b2o189b2o12bo121b
2o74b2o146b2o74b2o166b2o74b2o65b3o361b2o74b2o$231b2o35b3o280bo503b
2o497bo$230bo39bo279bo4b3o273b2o223b2o497bo$269bo132b3o152bo272b2o
223bo772b3o$129b3o3b2o3b2o169b3o88bo153bo275bo91b3o141b2o760bo$
129bo5bobob2o170bo91bo522bo141bobo373bo384bo$130bo4bo5bo170bo504b
2o28bo77bo129b3o10bo375b2o$816bobo27b2o209bo385bobo$818bo27bobo
207bo409b3o$391bo432bo641bo$391b2o431b2o244bo396bo$390bobo430bobo
243b2o$22b3o1044bobo$24bo$23bo4$1813b2o$119b2o1693b2o$119bobo1691b
o$119bo261b2o$382b2o$381bo3$374b2o$83b2o288bobo$82b2o291bo$84bo4$
125b2o1671b2o$125bobo1669bobo$15bo109bo1673bo$15b2o$14bobo11$1783b
o$1783b2o$1782bobo14$1767b3o$1769bo$1768bo13$1752b2o$1753b2o$1752b
o13$1737b2o$1736bobo$1738bo13$1722bo$1722b2o$1721bobo14$1706b3o$
1708bo$1707bo13$1691b2o$1692b2o$1691bo13$1676b2o$1675bobo$1677bo
13$1661bo$1661b2o$1660bobo14$1645b3o$1647bo$1646bo13$1630b2o$1631b
2o$1630bo13$1615b2o$1614bobo$1616bo!
Is there a script that
1) checks whether a glider synthesis is valid (infinitely rewind-able), and
2) predicts how the pattern (possibly dilute, with large spaces) will be interpreted and divided to multiple syntheses?
Last edited by GUYTU6J on August 18th, 2022, 10:31 pm, edited 1 time in total.
Why do most 2-state OCA rules tend to get a diminishing span of interest and go into oblivion, like lost civilizations leaving little records for their beauty and power?

Here multiflorate splendour blooms forlorn
Midst broken fountains, mouldering walls.

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