Goldtiger997 wrote:Hello, I'm a relative newcomer to doing anything formal with the game of life, So I tried to make a synthesis for an object that seems to have never been done before: The mangled 1 beacon.

It is a very inefficient synthesis (42 gliders) that can probably be easily improved, but I created it just for a synthesis, not an optimal synthesis. ...

Welcome to the forums! This is quite an ambitious synthesis. I personally find it difficult to work with syntheses that have any single step that is this large, as it's hard to position gliders accurately by hand when one can zoom a pattern out far enough to see all of it, or in far enough to see the cell positioning, but not both at the same time.

Some minor improvements can be made by eliminating one glider each from 3 ash cleanups, the initial block and NW quadrant, then a boat and blinker in the SW quadrant, and finally the 5 still-lifes in the NW. That may be possible with 2 gliders, but I couldn't find a way to do it. (An amusing but useless attempt to do this with 1 glider spurts out 3 simultaneous gliders around generation 54. Another amusing but useless attempt makes a B-heptomino, both of whose gliders clean up one of the remaining still-lifes.)

Code: Select all

```
x = 80, y = 53, rule = B3/S23
74bo$74bobo$74boo$$73bo$73bo$73bo$$65bo$66bo$9boo21boo30b3o$bboo5boo
21bobobb3o$3boo28bo35bo$bbo3boo56boobbobo6b3o$6bobo23boo30boo3bo$7bo
23bobo$33bo3$61boo$60bobbo$60bobo$61bo$58boo$57bobo$59bo8$8bo$9bo3bo
59bo$7b3o3bo59bo$13bo59bo6$9bo59bo$4boobbobo6b3o48bobo6b3o$4boo3bo55b
oobbo$64bobo$66bo3$boo$obbo$obo$bo!
```

This oscillator did indeed have a 19-glider synthesis. However, it was one of the many syntheses that begins with 12.28 (glider on down bookend) that Bob Shemyakin reduced from 5 gliders to 4 a few years ago, and I hadn't gotten around to updating yet. By bringing this to my attention, the solution is now reduced to 18 gliders. Thanks!

Code: Select all

```
x = 188, y = 24, rule = B3/S23
48bo$bo44bobo$bbo44boo$3o$$9bo48bo110bobo$10bo46bo111boo$8b3o12boo18b
oo12b3o3boo18boo18boo18boo18boo18boo5bo12boo$24bo19bo19bo19bo19bo19bo
19bo19bo19bo$9bo14boboo16boboo5bo10boboobo14boboobo14boboobo14boboobo
14boboobo14boboobo14boboo$bb3o4boo11boboboo14boboboo6boo6boboboboo12bo
boboboo11booboboboo11booboboboo11booboboboo11booboboboo11boobobbo$4bo
3bobo11boo18boo9boo7boo18boo17bobo17bobo17bobbo16bobbo16bobbo$3bo45b3o
26bo23bo19bo19bobbo16bobbo5boo9bobbo$51bo24bobo64boo18boo5boo11boo$50b
o26booboo42boo46bo$80bobo41bobobboo$80bo43bo3booboo$120b3o6b4o$122bo7b
oo$121bo$$126bo$125boo$125bobo!
```

You can find most known syntheses of small patterns by going to the search form on my Life page (

http://codercontest.com/mniemiec/lifesrch.htm) and entering the RLE for the pattern, or use more advanced criteria to search for patterns by other criteria. I posted to the last update about a year ago (and am currently working on the next iteration), and it is missing some of the most recent synthesis work done in the last couple of years (mostly with regards to still-lifes, especially the 18-bit ones), but otherwise, it's fairly comprehensive. The other pages on the site provide stamp collections of objects and their syntheses, arranged by category, population, period, cost in gliders, etc.

EDIT:

biggiemac wrote:Here it is in at most 16. Someone else can probably do even better. ...

Even better! The initial still life pair can be made from 3 gliders, reducing this to 15. The final cleanup might be possible from 1 glider, but I couldn't find a way after a bit of trial and error

Code: Select all

```
x = 295, y = 177, rule = B3/S23
41bo$39bobo$40boo9$175bobo$175boo$176bo14$71bo$69bobo$70boo18$146bo$
144boo$145boo9$139bobo$139boo105bo$140bo105bobo$246boo$$204boo38boo$
204boo38boo5$230bo$228bobo$229boo$$191bo39bo$191bo39bo$4bo186bo39bo$5b
o$3b3o$$6boo$6bobo12boo98boo$6bo13bobbo96bobbo$21bobo97bobo$22bo92bo6b
o$116boo$25boo88boo8boo$25boo84b3o11boo$113bo$3o109bo$bbo$bo208boo38b
oo38boo$211bo39bo39bo$211boboo36boboo36boboo$208boobobbo33boobobbo33b
oobobbo$208bobbo36bobbo36bobbo$209bobbo36bobbo36bobbo$210boo38boo38boo
22$158boo$157boo$159bo21$180boo$179boo$181bo31$44boo$45boo$44bo!
```