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MathAndCode

I saw the following synthesis in https://catagolue.hatsya.com/readsynth: x = 0, y = 0, rule = B3/S23 151$168.A$166.2A$167.2A2$150.A.A$151.2A10.A$151.A10.A$162.3A3$157.2A$158.2A$157.A2$164.3A$164.A$165.A2$154.2A$155.2A$154.A! I made the following fast components with it: x = 1534, y = 625, rule = B3/...

MathAndCode

Value1 wrote: ↑
May 7th, 2024, 10:01 am
histone

notices

MathAndCode

rutabaga wrote: ↑
May 6th, 2024, 9:01 pm
oysters

stories

MathAndCode

Next: Don't eat and only interact until generation 20 x = 4, y = 5, rule = B3/S23 3bo$2b2o$bobo$2o$bo! I made an R-sequence. x = 17, y = 9, rule = B3/S23 15b2o$15bo$13bobo$13b2o$7bo$6b2o$5bobo$2o2b2o$2o3bo! Let's use the same sequence, again with no eating, but this time, the catalysts may only int...

MathAndCode

rutabaga wrote: ↑
May 6th, 2024, 6:18 pm
corsets

forests

MathAndCode

rutabaga wrote: ↑
May 6th, 2024, 12:52 pm
Roast ice

coarsest
(I would like to keep these to single words if possible to prevent the length from getting too long for practical mental rearrangement of letters.)

MathAndCode

My first ever salvo-thing (?). 25G-to-G x = 203, y = 207, rule = B3/S23 2$198b2o$198b2o5$195b3o$197bo$196bo4$189b3o$191bo$190bo14$173b3o$175bo $174bo5$166b3o$168bo$167bo$163bo$163b2o$162bobo12$149b3o$151bo$150bo5$ 142b3o$144bo$143bo9$131b2o$132b2o$131bo10$118b3o$120bo$119bo7$109bo$ 109b2o$108bobo2$...

MathAndCode

HoneyBomb Life is actually explosive. This is the current smallest unbounded growth pattern I'd found: x = 4, y = 4, rule = B2i3/S23 bo$b2o$o2bo$b3o! It has (at least) two seven-cell parents. x = 25, y = 6, rule = B2i3/S23 2bo2$2o18b3o$2b2o18bo$b2o18b2o$24bo! Also, there is this completely unrelate...

MathAndCode

The block survives with help from friends. (It's fun to type iambicly.)

Code: Select all

x = 15, y = 14, rule = B3/S23
13b2o$7b2o5bo$7bobob3o$9bobo$9b2o2$2o2b2o$2b4o$4b2o2b2o$4b2o2b2o$3bo$4bo$7b2o$7b2o!

MathAndCode

The first p3 billiard table in jslife ( xp3_8e1mk4oz9f0egp ) in 44G. x = 736, y = 50, rule = B3/S23 704bo$705b2o$704b2o$710bo$711b2o$710b2o5$703bo$701bobo$702b2o25bo4bo$ 727b2o4bo$728b2o3b3o4$701bo$659bo42b2o$354bobo300bobo41b2o$313bo41b2o 301b2o3bo41b3o20b3o$313bobo39bo305b2o44bo20bo$238bo74b2o347...

MathAndCode

I came back to this rule and found a p28 snowflake hassler fairly quickly. x = 17, y = 17, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8 10bo$10bo$8bo$4b2o2b2o$13bo$8bo4bo$2o6bo$3bo2bo$2b2o9b2o$7bo5bo$6b3o6b 2o$3bo3bo$3bo$7b2o2b2o$8bo$6bo$6bo! There's probably a bunch of interesting stuff lef...

MathAndCode

I found a way of adding that small component (muzik called it a "crotchet" a few posts up) onto the edge of an appropriate c/3 spaceship, so that entire family of c/3 ships should now have syntheses: x = 53, y = 39, rule = B3/S23 41bo$39b2o$39b2o$41bo$39bo$38b3o$38bo$37b2o$38bo$39bo2bo$43bo$bo38b2o...

MathAndCode

P16 pi-heptomino hassler and one of its higher-clearance variants : x = 72, y = 31, rule = B3/S23 66bo$66b2o$65b2obo$64bo2b3o$63bobobo$62bobobo$60b3o2bo$2b2o13b2o42bob 2o$b3o13b3o42b2o$obo2bo2b2ob2o2bo2bobo42bo$2o2b2o2b2ob2o2b2o2b2o33b2o 11b2o$4b2o9b2o38bo11bo$55bobo7bobo$56b2o7b2o2$10bo50bo$9bobo4...

MathAndCode

There's a symmetrical oscillator in this as that doesn't appear to have been synthesized so far: x = 17, y = 36, rule = B3/S23 3bo$2bobo$bo3bo$2bobo2$2b3o$2b3o6$3b2o$2bo2b2o4b3o$b2o2b4o2b3o$bo4b3ob 3o$2o6b2ob3o$ob12o$b9o$2b6o3$14bo$9b3o3bo$8b4o$7bo3bo4bo$7bobo$8bobobo 2bo$7b2ob2ob2o$7b2obo$8bo$8b2o...

MathAndCode

3-gliders reduction: x = 39, y = 22, rule = B3/S23 35bo$35bobo$35b2o3$36bo$36bobo$36b2o2$23b2o$23bo$24b3o$13b3o10bo$5b2o 6b3o$5bobo4bo3bo13b2o$6b2o3bo2b2o3bo10bo$2b2o6b2o3bob2obo7bobo$bobo7b ob2obo3b2o6b2o$bo10bo3b2o2bo3b2o$2o13bo3bo4bobo$16b3o6b2o$16b3o! I improved it by two more gliders. x = 1993...

MathAndCode

I accidentally found an interchange predecessor-hassling reaction. x = 16, y = 7, rule = B3/S23 14bo$5b3o5bo$13b3o$b2obo$bo2bo$o$5b3o! I couldn't find any p14 oscillators that can support it (although 42P14 comes kind of close), so here is a glider stabilization: x = 270, y = 244, rule = B3/S23 230b...

MathAndCode

Chopping one third of traffic light results in a c/14 partial: # "FIxed" using commands x = 5, y = 4, rule = B3/S23 o$o3bo$o3bo$b3o! #C [[ PASTEDELTA -1 0 PASTEMODE X PASTET EVERY 14 PASTE 5b$o4b$o3bo$o3bo$b3o! ]] It can be sustained with gliders. x = 49, y = 122, rule = B3/S23 40bobo3bo$40b2o4bobo...

MathAndCode

Four gliders convert a difficult motif to something easier (specifically siamese python to dock). x = 23, y = 37, rule = B3/S23 4bobo$5b2o$5bo11$5bo$6b2o$5b2o4$bo$b2o7bo$obo7b2o$9bobo7$19b2o$20bo$ 19bo$18bo$18b2o$19bo$19bob2o$20bobo! I'm not even sure that it's new. Edit: I generalized it, and some ...

MathAndCode

Were these slow components known? x = 78, y = 23, rule = B3/S23 14bo$12b2o61bobo$13b2o53bo6b2o$3bo62bobo7bo$4b2o61b2o$3b2o$15bo59bo$13b 2o58b2o$2bo11b2o46bo11b2o$obo57bobo$b2o58b2o5$5bo3bo55bo3bo$4bobobobo 53bobobobo$5b2obobo54b2obobo$8b2o58b2o$5b2o58b2o$5bo59bo$6b3o57b3o$8b o59bo! Edit: They can do...

MathAndCode

For p88, flipping the figure eight yields a smaller bounding box, which I think should be the tiebreaker if the period is the same. x = 22, y = 15, rule = B3/S23 8b2o$8bo$9bo4b2o$8b2o$12bo3bo$12bo4bo$14bobobo$5b2o8bobobo$5bob2o7bo4b o$2obobobobo7bo3bo$ob2obobo$6bo2b3o6b2o$7b2o3bo$9b3o$9bo! Here is t...

MathAndCode

I reduced the glider cost of xp8_y9mm1ozya3c6wgzgw8808og137y1233xggo0ooz0330311xoo8y1sog132022w1zy61wc6ozy93gdd from 52 to 40. x = 3624, y = 216, rule = B3/S23 1675bo$1673b2o$1674b2o2$1533bo$1534b2o$1533b2o14$1691bo$1689b2o$1690b 2o3$1521bobo$1522b2o$1522bo5$1710bobo$1710b2o$1711bo1542bo$3253bo$ 325...

MathAndCode

One more period off the list! x = 36, y = 24, rule = B3/S23 12b2o$12b2o$6bo$6b2o$5b2obo3b2o$4bo2b3o2bob2o$3bobobo5b3o$2bobobo$3o2b o23b2o$bob2o6bo7bo9bobo$2b2o6bobo5b3o5b2obobo$3bo7bo5b2obo5bobobo$28b o$27bo2bo$27bo$21b2o4bo$15b2o5b2o3bo4bo$21b2o4bo3bobo$21bo6bo2b2obo$32b obo$16b2o10b4ob3o$17bo9bo7...

MathAndCode

I cheapened 46P10 . x = 805, y = 67, rule = B3/S23 804bo$802b2o$803b2o12$562bo$560bobo$561b2o2$412bobo104bo44bo205bo27bo $413b2o104bobo42bobo7bo196bo24b2o$413bo101bo3b2o43b2o7bo195b3o25b2o$420b obo93bo56b3o$368bo52b2o3bo87b3o$366bobo52bo3bo$367b2o10bo45b3o193bo58b o61bo23bo$378bo186bo10b2o44b2o57b2o...

MathAndCode

Here's some H to Block, Hive, Long Boat and less common H to Eater 1 + Block (unfortunately) : Nice find! There is another conduit that also makes an E-heptomino via the same boat+traffic light reaction, which can be modified in the same way to make a fishhook (and block). x = 21, y = 52, rule = B3...

MathAndCode

C28 wrote: ↑
February 20th, 2024, 11:16 am
HL106B
Code: Select all
x = 20, y = 26, rule = B3/S23
2o$obo$b2o3$7bo$6bobo$6bobo$7bo13$3b3o$4bo11b2o$4b3o9bobo$18bo$18b2o!

Here is an even more useless way to turn it into a pi.

Code: Select all

x = 20, y = 33, rule = B3/S23
2o$obo$b2o3$7bo$6bobo$6bobo$7bo13$3b3o$4bo11b2o$4b3o9bobo$18bo$18b2o4$
6b2o$6bo$7bo$6b2o!

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