## Glider Synthesis making Guns

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

### Glider Synthesis making Guns

I found a 12-glider synthesis of the Simkin Glider Gun:
`x = 51, y = 29, rule = B3/S23o\$b2o\$2o4\$19bo\$8bo8b2o\$9b2o7b2o\$8b2o2\$21b2o\$11b2o7b2o\$3b2o7b2o8bo24bo\$4b2o5bo27bo5b2o\$3bo33b2o7b2o\$38b2o\$29bo4bo\$30b2obo\$29b2o2b3o5b2o\$40b2o\$42bo5\$49b2o\$48b2o\$50bo!`

Entity Valkyrie

Posts: 115
Joined: November 30th, 2017, 3:30 am

### Re: Glider Synthesis making Guns

Entity Valkyrie wrote:I found a 12-glider synthesis of the Simkin Glider Gun:
`x = 51, y = 29, rule = B3/S23o\$b2o\$2o4\$19bo\$8bo8b2o\$9b2o7b2o\$8b2o2\$21b2o\$11b2o7b2o\$3b2o7b2o8bo24bo\$4b2o5bo27bo5b2o\$3bo33b2o7b2o\$38b2o\$29bo4bo\$30b2obo\$29b2o2b3o5b2o\$40b2o\$42bo5\$49b2o\$48b2o\$50bo!`

Your two middle gliders would have interacted several ticks prior, but flipping the problematic block synthesis diagonally removes the conflict and allows the gliders to be pulled back arbitrarily far:
`x = 71, y = 49, rule = B3/S23o\$b2o\$2o\$12bobo\$13b2o\$13bo\$37bobo\$8bo28b2o\$9b2o27bo\$8b2o4\$67bo\$59bo5b2o\$57b2o7b2o\$58b2o\$29bo24bo\$30b2o21bo\$29b2o22b3o13\$11b2o\$3b2o7b2o\$4b2o5bo\$3bo4\$61b2o\$60b2o\$62bo5\$69b2o\$68b2o\$70bo!`
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1779
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Glider Synthesis making Guns

Entity Valkyrie wrote:I found a 12-glider synthesis of the Simkin Glider Gun:
`x = 51, y = 29, rule = B3/S23o\$b2o\$2o4\$19bo\$8bo8b2o\$9b2o7b2o\$8b2o2\$21b2o\$11b2o7b2o\$3b2o7b2o8bo24bo\$4b2o5bo27bo5b2o\$3bo33b2o7b2o\$38b2o\$29bo4bo\$30b2obo\$29b2o2b3o5b2o\$40b2o\$42bo5\$49b2o\$48b2o\$50bo!`

Your two middle gliders would have interacted several ticks prior, but flipping the problematic block synthesis diagonally removes the conflict and allows the gliders to be pulled back arbitrarily far:
`x = 71, y = 49, rule = B3/S23o\$b2o\$2o\$12bobo\$13b2o\$13bo\$37bobo\$8bo28b2o\$9b2o27bo\$8b2o4\$67bo\$59bo5b2o\$57b2o7b2o\$58b2o\$29bo24bo\$30b2o21bo\$29b2o22b3o13\$11b2o\$3b2o7b2o\$4b2o5bo\$3bo4\$61b2o\$60b2o\$62bo5\$69b2o\$68b2o\$70bo!`

http://www.conwaylife.com/forums/viewtopic.php?f=2&t=1155&p=52813#p52813
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).
AbhpzTa

Posts: 440
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

### Re: Glider Synthesis making Guns

So the record is nine gliders if we don't need any eaters?

Macbi

Posts: 490
Joined: March 29th, 2009, 4:58 am

### Re: Glider Synthesis making Guns

Macbi wrote:

So the record is nine gliders if we don't need any eaters?

Eight, if there's a suitable 3G collision for the three blocks.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1779
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Glider Synthesis making Guns

78-glider synthesis of a statorless period 120 gun:

`x = 75, y = 94, rule = B3/S2343bo\$41b2o\$42b2o6\$12bobo\$12b2o\$13bo2\$14b2o3bo\$7bo5b2o5b2o2bo\$7b2o6bo3b2o3b2o\$6bobo14bobo27bo\$53bobo\$53b2o\$4bobo\$o3b2o14b2o17bo8bo11bobo\$b2o2bo13bobo18b2o5bo13b2o\$2o19bo17b2o6b3o11bo2\$59b2o\$60b2o5bo\$6b2o51bo6b2o\$5b2o59bobo\$7bo39b2o\$46bobo\$7bo40bo19bobo\$5b2o49bo12b2o3bo\$6b2o47b2o12bo2b2o\$55bobo15b2o3\$2o20bo\$b2o2bo14b2o34bo10b2o\$o3b2o12bo2b2o31b2o12b2o\$4bobo9bobo33bo2b2o10bo\$17b2o31bobo\$21bo29b2o14bo\$21bobo31bo12b2o\$21b2o5bo26bobo9b2o\$15bo11bo27b2o5bo\$4bobo2bobo4bo10b3o19bo11bo\$o3b2o4b2o2b3o26bobo4bo10b3o\$b2o2bo4bo19bo13b2o2b3o22b2o\$2o22b3o2b2o13bo19bo4bo2b2o\$11b3o10bo4bobo26b3o2b2o4b2o3bo\$13bo11bo19b3o10bo4bobo2bobo\$12bo5b2o27bo11bo\$6b2o9bobo26bo5b2o\$5b2o12bo31bobo\$7bo14b2o29bo\$22bobo31b2o\$7bo10b2o2bo33bobo9bobo\$5b2o12b2o31b2o2bo12b2o3bo\$6b2o10bo34b2o14bo2b2o\$52bo20b2o3\$2o15bobo\$b2o2bo12b2o47b2o\$o3b2o12bo49b2o\$4bobo19bo40bo\$26bobo\$26b2o39bo\$6bobo59b2o\$7b2o6bo51b2o\$7bo5b2o\$14b2o2\$13bo11b3o6b2o17bo19b2o\$12b2o13bo5b2o18bobo13bo2b2o\$12bobo11bo8bo17b2o14b2o3bo\$68bobo\$20b2o\$19bobo\$21bo27bobo14bobo\$49b2o3b2o3bo6b2o\$50bo2b2o5b2o5bo\$55bo3b2o2\$61bo\$61b2o\$60bobo6\$31b2o\$32b2o\$31bo!`

Entity Valkyrie

Posts: 115
Joined: November 30th, 2017, 3:30 am

### Re: Glider Synthesis making Guns

Macbi wrote:

So the record is nine gliders if we don't need any eaters?

Eight, if there's a suitable 3G collision for the three blocks.

There is (very likely) no 3G collision which gives the 3 blocks (it surprised me as well). But, maybe there is a 4G collision which gives the 2blocks+B.

2718281828

Posts: 312
Joined: August 8th, 2017, 5:38 pm