### Re: Soup search results

Posted:

**June 29th, 2016, 6:47 am**Forums for Conway's Game of Life

http://www.conwaylife.com/forums/

Page **44** of **62**

Posted: **June 29th, 2016, 6:47 am**

Posted: **June 29th, 2016, 7:41 am**

I'm assuming all zz items in b3s23/C1 eventually get manually converted to yl ones?

Posted: **June 29th, 2016, 7:47 am**

muzik wrote:I'm assuming all zz items in b3s23/C1 eventually get manually converted to yl ones?

Yes, or at least those that are, in fact, linear-growth patterns.

Posted: **June 29th, 2016, 8:01 am**

Can't wait until our first (real) zz_QUADRATIC.

Would there then be a new "yq" category for quadratic patterns?

Would there then be a new "yq" category for quadratic patterns?

Posted: **June 29th, 2016, 12:37 pm**

A heart on two beehives finally appeared in an asymmetric soup

http://catagolue.appspot.com/hashsoup/C1/m_FD5VrSgkFxZ27083823/b3s23

which leads to the following synthesis from 13 gliders:

Unfortunately, I'm embarrassed to say, I can't seem to find any beehive-to-tub converters, which could turn this into heart on two tubs, the smallest heart variant, and the only known period 5 oscillator (that I am aware of) up to 26 bits without a synthesis, other than 17 versions of Elkies's P5, and several versions of Silver's P5.

http://catagolue.appspot.com/hashsoup/C1/m_FD5VrSgkFxZ27083823/b3s23

which leads to the following synthesis from 13 gliders:

Code: Select all

`x = 173, y = 96, rule = B3/S23`

12bo$13boo$12boo$$18bobo$18boo$19bo$16bo24boo28boo28boo28boo28boo$16b

oo23boo28boo28boo28boo28boo$15bobo33boo28boo28boo28boo28boo$51boo28boo

28boo28boo28boo8$91b3o8bo18b3o8bo18b3o8bo$62bo39bo29bo29bo$60bobo26bo

5bo6bo16bo5bo6bo16bo5bo6bo$57boobboo26bo5bo23bo5bo23bo5bo$56bobo14boo

14bo5bobb3o3b3o12bo5bobb3o3b3o12bo5bobb3o3b3o$58bo13boo$74bo16b3o8bo

18b3o8bo18b3o8bo$102bo29bo29bo$70boo30bo29bo29bo$71boo82boo$70bo53boo

28bobbo$123bobo29boo$125bo$127boo$127bobo$127bo10$117bobo$118boo$118bo

$90bo29bo$41boo47bo6bo22bo6bo29bo$41boo47bo5bobo21bo5bobo27bobo$51boo

43bobo27bobo27bobo$51boo33b3o8bo18b3o8bo29bo$$95b5o25b5o25b5o$94bo5bo

23bo5bo23bo5bo$90boobbobbo22boobbobbo22boobbobbo$89bobboboboboo19bobbo

boboboo19bobboboboboo$90boobbobbo22boobbobbo22boobbobbo$94bobbo26bobbo

26bobbo$31b3o8bo52bo29bo29bo$42bo$29bo5bo6bo$29bo5bo$29bo5bobb3o3b3o$$

31b3o8bo$42bo$42bo$35boo9bo$34bobbo7boo$35boo8bobo18$74b3o$74bo$75bo4$

bo$boo$obo!

Unfortunately, I'm embarrassed to say, I can't seem to find any beehive-to-tub converters, which could turn this into heart on two tubs, the smallest heart variant, and the only known period 5 oscillator (that I am aware of) up to 26 bits without a synthesis, other than 17 versions of Elkies's P5, and several versions of Silver's P5.

Posted: **June 30th, 2016, 6:26 am**

Second natural yl2304, from a haul of @th222's:

Code: Select all

`x = 16, y = 16, rule = B3/S23`

bbbobobooobboooo$

oobbobbbobbobbbo$

boboobooooooobbb$

bobobobobboobobb$

bobboobbbbobbbbo$

bbobbbobbobobbob$

bobbboooboobobbo$

ooboooobobobbboo$

bbobboboboboooob$

ooobbbbobbooboob$

bobobobobboboooo$

ooobbboobbbbbobb$

bboobobbboobbobb$

oboobobbobbooobo$

oboboobbbobbboob$

bbobbbooooobbobo!

Posted: **June 30th, 2016, 7:47 am**

R-pentomino to two (usable, unhindered) Herschels... but destroys circuit in doing so:

Code: Select all

`x = 30, y = 18, rule = LifeHistory`

2.D16.2A$D.D15.A2.A$3D16.2A$D3$20.A$20.2A$19.2A3$23.2A$23.A$24.3A$26.

A$27.3D$27.D$26.3D!

Posted: **June 30th, 2016, 1:55 pm**

mniemiec wrote:A heart on two beehives finally appeared in an asymmetric soup

http://catagolue.appspot.com/hashsoup/C1/m_FD5VrSgkFxZ27083823/b3s23

which leads to the following synthesis from 13 gliders:Code: Select all`x = 173, y = 96, rule = B3/S23`

12bo$13boo$12boo$$18bobo$18boo$19bo$16bo24boo28boo28boo28boo28boo$16b

oo23boo28boo28boo28boo28boo$15bobo33boo28boo28boo28boo28boo$51boo28boo

28boo28boo28boo8$91b3o8bo18b3o8bo18b3o8bo$62bo39bo29bo29bo$60bobo26bo

5bo6bo16bo5bo6bo16bo5bo6bo$57boobboo26bo5bo23bo5bo23bo5bo$56bobo14boo

14bo5bobb3o3b3o12bo5bobb3o3b3o12bo5bobb3o3b3o$58bo13boo$74bo16b3o8bo

18b3o8bo18b3o8bo$102bo29bo29bo$70boo30bo29bo29bo$71boo82boo$70bo53boo

28bobbo$123bobo29boo$125bo$127boo$127bobo$127bo10$117bobo$118boo$118bo

$90bo29bo$41boo47bo6bo22bo6bo29bo$41boo47bo5bobo21bo5bobo27bobo$51boo

43bobo27bobo27bobo$51boo33b3o8bo18b3o8bo29bo$$95b5o25b5o25b5o$94bo5bo

23bo5bo23bo5bo$90boobbobbo22boobbobbo22boobbobbo$89bobboboboboo19bobbo

boboboo19bobboboboboo$90boobbobbo22boobbobbo22boobbobbo$94bobbo26bobbo

26bobbo$31b3o8bo52bo29bo29bo$42bo$29bo5bo6bo$29bo5bo$29bo5bobb3o3b3o$$

31b3o8bo$42bo$42bo$35boo9bo$34bobbo7boo$35boo8bobo18$74b3o$74bo$75bo4$

bo$boo$obo!

11 gliders:

Code: Select all

`x = 170, y = 27, rule = B3/S23`

118bo$119bo$38bo78b3o$36bobo$37b2o56bobo$40b2o39b2o12b2o22b3o5bo39bo$

39bobo39b2o13bo29bobo37bobo$6bo34bo51bo23bo8bobo37bobo$b2ob2o38bo39bo

7b2o23bo9bo39bo$obo2b2o36bobo37bobob3o2bobo22bo$2bo40b2o38b2o2bo37b5o

35b5o$88bo35bo4bo34bo4bo$120b2o2bo2b3o30b2o2bo2b3o$119bo2bobobobo30bo

2bobobobo$120b2o2bob2o32b2o2bob2o$124b3o37b3o5$83b2o33b2o$82b2o33bo2bo

$84bo32bobo$118bo$75bo39b2o$75b2o37bobo$74bobo39bo!

Posted: **June 30th, 2016, 9:30 pm**

mniemiec wrote:Unfortunately, I'm embarrassed to say, I can't seem to find any beehive-to-tub converters, which could turn this into heart on two tubs, the smallest heart variant, and the only known period 5 oscillator (that I am aware of) up to 26 bits without a synthesis, other than 17 versions of Elkies's P5, and several versions of Silver's P5.

I found two methods, both for eight gliders. This one proceeds via boat:

Code: Select all

`x = 62, y = 16, rule = B3/S23`

7b2o3b2o23b2o3b2o11b2o3b2o$7bo2bo2bo4bo18bo2bo2bo11bo2bo2bo$8b5o4bo20b

5o13b5o$17b3o$10bo29bo17bo$9bobo27bobo15bobo$bo7bobo28b2o16bo$2bo7bo$

3o12bo6b2o$14bo6b2o11b2o3b3o$14b3o6bo10b2o3bo$5b2o33bo$4bobo30b2o$6bo

8b3o18bobo$15bo22bo$16bo!

And this one proceeds via integral w/very long hook:

Code: Select all

`x = 68, y = 21, rule = B3/S23`

31bo$17b2o3b2o6bo13b2o3b2o10b2o3b2o$8bo8bo2bo2bo6b3o11bo2bo2bo10bo2bo

2bo$9bo8b5o22b5o12b5o$bo5b3o$2bo17bo18b2o6bo16bo$3o3bo12bobo18b2o4bobo

14bobo$6b2o11bobo17bo3bobo2bo15bo$5bobo12bo22b2o3bobo$49b2o3$46b3o$48b

o$47bo2$13bo$13b2o$12bobo3b3o$20bo$19bo!

Posted: **July 1st, 2016, 1:26 pm**

Is this known?

Code: Select all

`x = 41, y = 39, rule = B3/S23`

38bo$38bobo$38b2o$31bo$30b2o$30bobo2$28b2o$16bo10bobo$9bo4bobo12bo$10b

2o3b2o$9b2o9$15b2o$14bobo$16bo4$24b2o$24bobo$24bo8$2o$b2o$o!

Posted: **July 1st, 2016, 3:04 pm**

Extrementhusiast wrote:I found two methods, both for eight gliders. This one proceeds via boat: ... And this one proceeds via integral w/very long hook: ...

I figured that a boat would be the likely avenue, but I could never quite find a way that would make a clean boat predecessor.

BlinkerSpawn wrote:Is this known? ...

It is definitely new to me.

Posted: **July 1st, 2016, 11:25 pm**

Predecessor for a large, unnamed, period 2 oscillator.

I couldn't find a synthesis from this, but maybe somebody else can.

EDIT:

Here is a 9-glider synthesis of block on cuphook with pre-block.

This is better than the previous record of 12 gliders

Code: Select all

`x = 13, y = 13, rule = B3/S23`

11bo$10bobo$10bobo$11bo2$9b2obo$10b3o$11bo2$5bo$b2o2b2o$o2bo2b2o$b2o2b

2o!

I couldn't find a synthesis from this, but maybe somebody else can.

EDIT:

Here is a 9-glider synthesis of block on cuphook with pre-block.

Code: Select all

`x = 24, y = 19, rule = B3/S23`

8bo$2bobob2o$3b2o2b2o$3bo2$9bo$10bo$8b3o$12bobo$5bo6b2o$3bobo7bo$4b2o$

b2o19bo$obo18bo$2bo18b3o2$15b2o2b2o$16b2obobo$15bo3bo!

This is better than the previous record of 12 gliders

Posted: **July 2nd, 2016, 12:33 am**

Goldtiger997 wrote:Predecessor for a large, unnamed, period 2 oscillator. ... I couldn't find a synthesis from this, but maybe somebody else can.

Did you find this from a soup? If so, could you please post a link to it? B heptominos are easy to synthesize, but they and their predecessors tend to move rapidly forward, so it's not easy to make one in a position where a beehive could be brought in behind it.

This soup: http://catagolue.appspot.com/hashsoup/C2_4/m_QiUANk2WacXf367345/b3s23 leads to a different synthesis from 16 gliders:

Code: Select all

`x = 105, y = 38, rule = B3/S23`

6bo$7bo$5b3obbo70bo$10bobo31b3o27b3o3bo$10boo3bo64b3o$15bobo24bo5bo23b

o5bo$15boo25bo5bo23bo5bo$42bo5bo23bo5bo$8bo$9boo33b3o27b3o$8boo6bobo$

3bo12boo$4boo11bo$3boo$39boo28boo28boo$38bobbo26bobbo26bobbo$38bobo27b

obo27bobo$19bo16booboobbo22booboobbo22booboobbo$oo15boo16bobbobboobo

20bobbobboobo20bobbobboobo$boo15boo15boboobbobbo20boboobbobbo20boboobb

obbo$o35bobbooboo22bobbooboo22bobbooboo$39bobo27bobo27bobo$38bobbo26bo

bbo26bobbo$39boo28boo28boo$15boo$bbo11boo$bboo12bo$bobo6boo$9boo22b3o

27b3o$11bo$31bo5bo23bo5bo$3boo26bo5bo23bo5bo$bbobo26bo5bo23bo5bo$4bo3b

oo47b3o$7bobo23b3o23bo3b3o$9bobb3o43bo$12bo$13bo!

Your predecessor might still win if each half can be made from 7 or less gliders.

Goldtiger997 wrote:Here is a 9-glider synthesis of block on cuphook with pre-block. ...

Nice! It will take me a while to figure out how many other related syntheses this will improve.

EDIT: This can be reduced by one glider:

Code: Select all

`x = 127, y = 40, rule = B3/S23`

57bo$57bobo$57boo$$37bo19bo$36bobo17bobo$37bo19bo$$107bo$105boo$106boo

$10boo25boo18boo18boo18boo$6boobbobo24boo18boo18boo18boo8bo$5bobobbo

95boo15boo$7bo93bo4bobo14bo$101bobo16boobo$101boo17bobboboo$123boboo$

99boo22bo$98boo21bobo$100bo20boo$$33bo19bo19bo19bo$32bobo17bobo17bobo

17bobo$33bo19bo19bo19bo13$bo$boo$obo!

EDIT: Oops, never mind. While updating this in my archives, I noticed that I already had this synthesis - Extrementhusiast had created the same 9-glider synthesis on 2015-01-05, and I had made the same 1-glider reduction on 2015-08-24!

Posted: **July 2nd, 2016, 8:18 am**

Calcyman found another new natural double switch engine -- also the first natural yl576:

And a natural quadpole-on-quadpole as well:

This one's formed from a quadpole-on-ship.

Code: Select all

`x = 16, y = 16, rule = B3/S23`

obobbbboboobbbob$

oooboboobooooboo$

booobbbbobbobooo$

boobbbbooooboooo$

boboobooobobboob$

obooobobbbboobbb$

oobbbbbbobooobbb$

bbobooobobbbbooo$

obooboobbboobooo$

boobbobbobbobbbo$

oboooobbooobbooo$

bbbbboobboobbboo$

obbbboboooboobob$

ooboobooobbobooo$

obbbboboooobooob$

obbbbobbobboobbo!

And a natural quadpole-on-quadpole as well:

Code: Select all

`x = 16, y = 16, rule = B3/S23`

oobobobbooboobbo$

oobbbboooooobobb$

boobboooboobobbb$

bobbboobboobooob$

oobbobobbooobbbo$

boobbboobobobboo$

bbooobboobbobobo$

oooboobbbooobobo$

bbbobboooooboobo$

boboboboobbobbbo$

bbboooobboobbbbb$

oboboboobbbbobbo$

obbboboooboboobb$

bobbobbbooboboob$

obbooooboboobboo$

obooboobobbobboo!

This one's formed from a quadpole-on-ship.

Posted: **July 3rd, 2016, 6:28 am**

Specifically trans-quadpole-on-quadpole. We've already seen a cis-quadpole-on-quadpole (which differ in terms of the relative phases of the constituent quadpoles).

Posted: **July 4th, 2016, 2:46 am**

Extrementhusiast wrote:mniemiec wrote:Here is a 11-glider synthesis for one of the two unknown 18-bit 1beacon-like P2s from a predecessor from a soup. Half an hour after finding this, I found a way to make an converter (based on predecessors from many soups that use the same mechanism) that also makes this from 11 gliders, and gives the other unknown one from 14 gliders:Code: Select all`RLE`

Two-glider reduction of that component:Code: Select all`x = 14, y = 20, rule = B3/S23`

10bo$10bobo$obo7b2o$b2o4bo$bo6b2o$7b2o10$8bo2b2o$8b4obo$13bo$10b3o$10b

o!

. . .

Another 2 glider can be reduced at an early stage. Full synthesis:

Code: Select all

`x = 109, y = 87, rule = B3/S23`

85bo$85bobo$75bobo7b2o$76b2o4bo$76bo6b2o$82b2o$41bo$39bobo$40b2o4$40bo

bo$40b2o59b2ob2o$41bo60bobo$63bo2b2o15bo2b2o14bo4bo$42b2o19b4obo14b4ob

o14b4obo$43b2o23bo19bo19bo$42bo22b3o17b3o17b3o$65bo19bo19bo2$45b3o$45b

o$46bo38$85bo$85bobo$53bo21bobo7b2o$53bobo20b2o4bo$53b2o21bo6b2o$82b2o

3$2bo$obo$b2o$6bo32bobo$6bobo31b2o$6b2o16b2o14bo3b2o55b2ob2o$23bo2bo

16bo2bo55bobo$24b2o18b2o17bo2b2o15bo2b2o14bo4bo$63b4obo14b4obo14b4obo$

68bo19bo19bo$65bobo17bobo17bobo$65b2o18b2o18b2o3$48b2o$37b2o8b2o$36bob

o10bo$38bo!

Bob Shemyakin

Posted: **July 5th, 2016, 2:43 am**

Rich Holmes discovered a new p16 using apgsearch

Object: https://catagolue.appspot.com/object/xp ... 0ck8/b3s23

Haul: https://catagolue.appspot.com/haul/b3s2 ... c55d8d4edc

Object: https://catagolue.appspot.com/object/xp ... 0ck8/b3s23

Haul: https://catagolue.appspot.com/haul/b3s2 ... c55d8d4edc

Posted: **July 5th, 2016, 2:59 am**

codeholic wrote:Rich Holmes discovered a new p16 using apgsearch

That's awesome! And only two cells larger than Achim's p16. It can interact slightly with a snake:

Code: Select all

`x = 11, y = 20, rule = B3/S23`

2b2o$3bo$2bo$2b2o2$4bo$2b2obo$2bo3bo$o5bo$o5bo2bo$o7bobo$2b4o2b2o2$2b

4o2b2o$o7bobo$o5bo2bo$o5bo$2bo3bo$2b2obo$4bo!

Posted: **July 5th, 2016, 3:16 am**

That p16 is sparkier than the 4th of July fireworks a few hours ago. Congrats to Rich Holmes! Certainly, that can be put to use.

EDIT: And, as its first application, a reduction of the p48 gun:

EDIT: And, as its first application, a reduction of the p48 gun:

Code: Select all

`x = 47, y = 43, rule = B3/S23`

17b2o11b2o14bo$16bo2bo9bo2bo$16bobo3b2ob2o3bobo$14b2o2bobo7bobo2b2o$

15bobobo4bo4bobobo$14bo2b2o2b7o2b2o2bo$14b2o5bobobobo5b2o$23bobo$5bo2b

2o9b3o5b3o$4bobo2bo2bo5bobobo3bobobo$4bob2obobobo4b2o2b5o2b2o$3b2obo2b

obo2bo$3bo2bob2o2bo$4b3obobo3b3o$6b2obo5b2o$2bobo2bobo3bo2bo6bo$2b2o2b

2obob2o2b3o4bobo15b2o$8b2obo3b2o4bo3bo13bo2bo$2b5o4bo10bobo17b2o$bo4bo

b3o12bo4b2o6bo5b3o$bob2obobo6b2o11bobo4bobo3bo2bo$2obo2bo6b4o13bo5b2o

3b3o$bobobobo5b2o2bo8bo3b2o$bobob2obo2bo7b3o5bo8b2o3b3o$2ob2o2b2o3b4o

9b3o7bobo3bo2bo$3bo2b3o2bo2b2o3bobo14bo5b3o$3bobob2o5bo5bo21b2o$2b2obo

2b2obo2bo24bo2bo$4bo3b2o2bo2bo16bo7b2o$4bobo7bo18bo$3b2ob2o10b3o10b3o$

16b7o$9b2o2bo2b2obob2o2bo2b2o$9bo4b4o3b4o4bo$10b4o11b4o$14b2o7b2o$10b

5obo2bo2bob5o$9bo6b7o6bo$10b3obo9bob3o$12b2obob2ob2obob2o$14b2obo3bob

2o19bo$14bo2bo3bo2bo20bo$15b2o5b2o19b3o!

Posted: **July 5th, 2016, 4:26 am**

It works in 16 rules:

Code: Select all

`x = 11, y = 15, rule = B38/S02378`

4bo$2b2obo$2bo3bo$o5bo$o5bo2bo$o7bobo$2b4o2b2o2$2b4o2b2o$o7bobo$o5bo2b

o$o5bo$2bo3bo$2b2obo$4bo!

Posted: **July 5th, 2016, 4:44 am**

codeholic wrote:Rich Holmes discovered a new p16 using apgsearch

Object: https://catagolue.appspot.com/object/xp ... 0ck8/b3s23

Haul: https://catagolue.appspot.com/haul/b3s2 ... c55d8d4edc

Awesome! Rich's p16, then?

Posted: **July 5th, 2016, 4:49 am**

Whoa, congrats!! I think the searcher for the new p15 should be known as well?

Posted: **July 5th, 2016, 4:55 am**

Posted: **July 5th, 2016, 9:00 am**

Heh. "Rich Holmes discovered"? I was asleep when apgsearch found this and woke up to find it'd been logged, tweeted, retweeted, reported here, used to make a smaller gun, deemed awesome, and written up on the wiki.

Posted: **July 5th, 2016, 9:10 am**

Still your discovery. Unless you want it to be named something else.