Rule X3VI (B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c)

[testitemqlstudop]

I think LLS might be useful to find spaceship reflectors.

[testitemqlstudop]

c/2 tagalongs (and an infinite family) found with ntqfind:

Code: Select all

x = 69, y = 59, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
bo2bo2bo$2b2ob2o$bobobobo$2bo3bo$2b5o3$2o5b2o$2b2ob2o$3bobo$2b2ob2o$3b
3o2$bo2bo2bo$2b2ob2o$bobobobo$2bo3bo$2b5o3$2o5b2o$2b2ob2o$3bobo$2b2ob
2o$3b3o2$bo2bo2bo$2b2ob2o$bobobobo$2bo3bo$2b5o3$2o5b2o$2b2ob2o$3bobo$
2b2ob2o$3b3o2$bo2bo2bo7bo2bo2bo$2b2ob2o9b2ob2o$bobobobo7bobobobo$2bo3b
o9bo3bo9bo7bo19bo7bo$2b5o9b5o8bo3bobo3bo7bobo7bo3bobo3bo$30bo2bobo2bo
6b2o3b2o6bo2bobo2bo$29bob2o3b2obo17bob2o3b2obo$2o5b2o5b2o5b2o10bobo10b
o3bo10bobo$2b2ob2o9b2ob2o9b2ob3ob2o7b2ob2o7b2ob3ob2o$3bobo11bobo8b2o9b
2o6bobo6b2o9b2o$2b2ob2o9b2ob2o9b3o3b3o7b2ob2o7b3o3b3o$3b3o11b3o27b3o$
30b9o19b9o$4bo13bo12bo2bo2bo10bo10bo2bo2bo$2b2ob2o9b2ob2o11b2ob2o9b2ob
2o9b2ob2o$3bobo11bobo13bobo11bobo11bobo$2b2ob2o9b2ob2o11b2ob2o9b2ob2o
9b2ob2o$3bobo11bobo13bobo11bobo11bobo$3b3o11b3o13b3o11b3o11b3o$4bo13bo
15bo13bo13bo!

[testitemqlstudop]

xp13. finally.

Code: Select all

x = 16, y = 16, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
bboboooobobbbobo$
bobbbbooooobbobb$
obobbbbboooobboo$
oooooooboboobbob$
ooobbboobobooobb$
obbbobobbobboobo$
obbooobbobbbooob$
obbbobobbboboobo$
obbobboooooboobb$
ooooobboobbboooo$
bobobobbbbbooboo$
ooobooooobbbbbbo$
obbooobbobbobobb$
oobbobobbooobbob$
obbobboobooboooo$
boobbbobobobobbo!

[testitemqlstudop]

HOLY SH--

Code: Select all

x = 16, y = 16, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
boobbobbbooobobb$
obbbooobobbbbbbb$
ooboobboobbobbob$
bobobbbobooobobo$
obobbobbobbooobo$
obobobbboobbobbo$
bboobbbbbooobbbb$
oobbobbobbbobbob$
bbobbbbobobbbbbb$
bobobbbbbbobbbbo$
oobobobboobooobo$
obbbbbbboboobobo$
ooobobboooobobbb$
booobbobbbbobobo$
bobbbbobobooobob$
bbbobobbobbobbob!

More trivial oscillators (p2+p3+p5=p30)

Code: Select all

x = 16, y = 16, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
oobobobbboboboob$
oobooooooobobbbb$
bbobbboooooobobo$
bboboooobbbbbbob$
obooobobbobobooo$
ooobbobboboooobo$
oooobbobobobbbob$
ooooooboooboobob$
boobobobobbboobb$
oobooboobobbbooo$
oboboooobobboobo$
oobbbbbbobbbbbbb$
obbbobobbbobboob$
bobobbbbbboobbob$
obooboooobbboobb$
bobobobooboobobb!

[Hdjensofjfnen]

HOLY SH--

Code: Select all

x = 16, y = 16, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
boobbobbbooobobb$
obbbooobobbbbbbb$
ooboobboobbobbob$
bobobbbobooobobo$
obobbobbobbooobo$
obobobbboobbobbo$
bboobbbbbooobbbb$
oobbobbobbbobbob$
bbobbbbobobbbbbb$
bobobbbbbbobbbbo$
oobobobboobooobo$
obbbbbbboboobobo$
ooobobboooobobbb$
booobbobbbbobobo$
bobbbbobobooobob$
bbbobobbobbobbob!

Pretty awesome! Especially the incredibly lucky formation of four blocks on the right!

[testitemqlstudop]

HOLY SH-- 2

Code: Select all

x = 16, y = 16, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
oobbooooobobboob$
bobboooobboobbbo$
oobbbobbobbbobob$
booooboooooboooo$
bbbooooobooooooo$
booobobobooobobb$
ooobbobbooooboob$
oobbobboboobboob$
obbboobboboobbbb$
oooboobobboboobb$
ooobbbbobobboobo$
ooboobbboobobobo$
bbbbobbooooobbob$
bobbobbbbobooooo$
obobbbbbbbobbobo$
bbbbobbboobbbboo!

The xq16 from D8_4 can be turned glide symmetric:

Code: Select all

x = 22, y = 15, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
2bo16bo$b3o14b3o$bob2o12b2obo$2o18b2o$2o18b2o$6b3o4b3o$6bobo4bobo$6b2o
2b2o2b2o2$18bo$17b3o$3bo13b3o$15b2o$14b3o$15b2o!

[PkmnQ]

Whatever this thing is

Code: Select all

x = 12, y = 13, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
2o$2ob2o$3b2ob2o$7b2o$6b2o$6bo3$10b2o$10b2o2$7b2o$7b2o!

[testitemqlstudop]

Cross-posting my almost reflectors from the Challenges thread so Abphtza can complete them.

Code: Select all

x = 69, y = 21, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
2o$2o3$5b2o50b2o$5b2o50b2o9$14b2o50b2o$16bo51bo$15bo51bo$11b3o49b3o$
11bo2bo48bo2bo$11bobo49bobo$12b2o50b2o!

[CoolCreeper39]

Methuselahs in Rule X3VI (Non record-breakers are not shown):

1-cell bounding box: 1G

Code: Select all

x = 1, y = 1, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
o!

4-cell bounding box: 3G

Code: Select all

x = 1, y = 4, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
o$o$o$o!

6-cell bounding box: 14G

Code: Select all

x = 2, y = 3, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
bo$2o$bo!

8-cell bounding box: 56G

Code: Select all

x = 2, y = 4, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
2o$bo$o$2o!

10-cell bounding box: 73G

Code: Select all

x = 2, y = 5, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
o$2o$bo$bo$2o!

11-cell bounding boxes failed to produce any more record-breakers.

[testitemqlstudop]

Bump.

I will attempt to prove X3VI Turing-complete.

It will be built on p58 technology.

Not gate:

Code: Select all

x = 65, y = 125, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
5bo$4bobo$2bo3bo$2obo$o2bo$b3o39$46b2o$46bobo$45bo2bo$46b3o$44bo$43bo$
44b2o18$60bo$59b3o$58b2obo$62b2o$62b3o2$58bo2$21bo2$21bobo2$20bo2$45bo
$44b3o$27b2o14bo2b2o$27b2o14b4o2$17b2o29b2o$17b3o2b2o$16bobo3b2o$15bob
o$15bobo5bobo$13bo7bo2bo$13b2o6bo2bo$20bobo$19b3o$20b2o8bo$29b3o$29b2o
bo$28b6o$28b2o2bo$28bo2bo7$19b3o$13b2o4bo2bo$13b2ob3o3bo$16bo3b3o$16bo
2bo$17b3o2b2o$22b2o3$27b2o$27b2o2$14b2o$21b2o$17b2o2bobo$22bo$20b3o!

Almost toggle gate:

Code: Select all

x = 145, y = 115, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
8b2o15b2o$8b2o15b2o4$28b3o$3b3o23b2o$5bo9b3o3b3o5bo$3bo2bo5b2ob4o2b3o
7b3o$3b3o6bo7bo3bo5bo2bo$3bobo6bobo4b2o2bo6b3o$11bo2bo4bo$11b3o7bobo$
20bo2bo$2o19b2o10b2o$2o31b2o6$24b2o$24bobo112bo$23bo2bo111bobo$24b3o
111bo3bo$22bo118bob2o$21bo119bo2bo$22b2o117b3o9$35b2o$34bo3b3o$40bo$
35bo3b2o$38bo$36b3o10$51b2o$50b5o$50bo3bo$51bo2bo$51b3o9$70bo$69bobo$
67bo3bo25b2o$65b2obo27bobo$65bo2bo27bo2bo$66b3o27b3o$100bo$101bo$99b2o
5$81bo$80bo2bo$80bo4bo$85bo$81bo2b2o$81bobo$81b3o10$96b2o$95b2ob2o$95b
2o2bo$96bo2bo$96b3o11$111b2o$111bobo$110bo2bo$111b3o$109bo$108bo$109b
2o!

Heisenburp:

Code: Select all

x = 22, y = 15, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
17b2o$16bobo$16bo2bo$16b3o$20bo$21bo$19b2o2$bo$o2bo$o4bo$5bo$bo2b2o$bo
bo$b3o!

EDIT: Duplicator via alternate heisenburp. Yay.

Code: Select all

x = 146, y = 190, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
29b2o15b2o$29b2o15b2o$26bo$27b2o$24bo4bo13bo$24bo2b2o2b2o13b3o3b2o$25b
o3bo2b2o8bobo2b2o3bobo$24b3obobo2bo7b2obobo3bobo$33bo8b3o4b2o$24bo3bob
o12bo6b2o$25b2o2bobo4$21b2o31b2o$21b2o31b2o3$42b2o$42bobo$42bob2o$42b
3o$43bo$40bo$40bo9$53bo3bo$57b2o$58b2o$57b2o$55b2o$55b2o$55bo9$68bo2bo
$68b2o2bo$68b6o$69b2obo$69b3o$70bo9$88b2o2$83b4o$83bo2b2o$84b3o$85bo8$
98bo2$102b3o$102b2o$98b2obo$99b3o$100bo6$98b2o$97bo$98bo$100b3o$99bo2b
o$100bobo$100b2o11$85b3o$85bo2bo$84b2o2bo$84b2ob2o$85b2o4$100b3o$100bo
$98b2o3bo$98bo$98b3o3bo$102b2o$70b3o$70bobo$70bo2b2o$74bo$69bo4bo$69bo
2bo$70bo8$55b3o$54bo2bo$54b2obo$56bo3bo$58bobo$59bo9$40b3o$40bo2bo$39b
o3bo$39b5o$40b2o7$142b3o$142bobo$140b2o2bo$25b3o112bo$27bo112bo4bo$24b
o3b2o112bo2bo$29bo114bo$23bo3b3o$24b2o9$b2o31b2o$b2o11bo19b2o$4b2o9b2o
$2bo2bo8b2obo11b2o$2bo3b2o9b2o10b3o$3bobobo4b2o3bo9bo3bo4bo$o6bo4bo3bo
12b2o4b2o$obobo8b3o13bo4bo3bo$2o3bo7b2o19b3o$2bo4bo21b2o4b2o$2b3ob2o
21b2o4$9b2o15b2o$9b2o15b2o!

EDIT: 180* p58 Reflector. (Not sharing-channel, unlike Hdjen's one.)

Code: Select all

x = 84, y = 171, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
8b2o15b2o$8b2o15b2o$5bo$6b2o$3bo4bo13bo$3bo2b2o2b2o13b3o3b2o$4bo3bo2b
2o8bobo2b2o3bobo$3b3obobo2bo7b2obobo3bobo$12bo8b3o4b2o$3bo3bobo12bo6b
2o$4b2o2bobo4$2o31b2o$2o31b2o3$21b2o$21bobo$21bob2o$21b3o$22bo$19bo$
19bo9$32bo3bo$36b2o$37b2o$36b2o$34b2o$34b2o$34bo9$47bo2bo$47b2o2bo$47b
6o$48b2obo$48b3o$49bo9$67b2o2$62b4o$62bo2b2o$63b3o$64bo8$77bo2$81b3o$
81b2o$77b2obo$78b3o$79bo6$77b2o$76bo$77bo$79b3o$78bo2bo$79bobo$79b2o
11$64b3o$64bo2bo$63b2o2bo$63b2ob2o$64b2o10$49b3o$49bobo$49bo2b2o$53bo$
48bo4bo$48bo2bo$49bo6$49bo$48b2o$34b3o11b2o$33bo2bo9b2o$33b2obo8b2o$
35bo3bo6b2o$14b2o21bobo7bo3bo$14b2o22bo$5b2o$5b2o$6bo2bo$7bobo$8b2o$5b
2o$2o2bobo$2o3b2o57bo$19b3o42bo$7b3o9bo2bo38bo$9bo8bo3bo37b3o$6bo2bo8b
5o36b2obo$6b3o10b2o39bobo$61b2o6$7bo$5b3o$5bobo$5bo2bo$2o8b2o$2o3bobob
o$3bob2o$3bo$4bo2bo$6b3obo$5b3o$6bobo$14b2o$14b2o!

[testitemqlstudop]

Anyways X3VI is now the first non-totalistic rule to officially get to 1 trillion objects. This also acts as a proof-of-concept for just HOW MUCH pure computing power can find:

TWO new 180 degree reflectors (from an xp74 and xp78 respectively)

Code: Select all

#C [[ GRID GRIDMAJOR 0 THUMBLAUNCH THUMBSIZE 2 THEME Catagolue ]]
x = 15, y = 13, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
3b2o$2ob2o$2o4$13b2o$13b2o$3bo$2b3o$2bob2o$2bobo$2b2o!

Code: Select all

#C [[ GRID GRIDMAJOR 0 THUMBLAUNCH THUMBSIZE 2 THEME Catagolue ]]
x = 19, y = 19, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
b2o$b2o2$2o$2o2$10b2o2$2o3b4o$2o3bo2b2o$6b3o$7bo4$17b2o$17b2o$9b2o3b2o
$9b2o3b2o!

A p112 not boring factory:

Code: Select all

x = 13, y = 14, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
9b2o$6b2o2bo$6bobo$o7b2ob2o$3o8b2o$3bobo$4b3o3$2o$2o2$2b2o$2b2o!

Loads of catalysty oscillators (I wonder how many you can discover just by making a stdin symmetry and putting random still lives and a fleet predecessor)

Rare period-tripling flotilla tagalong!

Code: Select all

x = 16, y = 16, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
oooobboobbbooooo$
bbobbbobobooooob$
bboobooobboboobb$
ooobbboooobbbboo$
boooobbobbbbbbbb$
bbobooobbbboboob$
boobobbobbboobbb$
bbbbboooobbobobb$
booobobooboobbbb$
boooboobbboboobb$
booobobbboboobob$
obbooobooooooboo$
bboobobobbobbooo$
oboooobooobboooo$
obbobbobbbbbobob$
bboobooboobbbboo!

New linear growth period!

Code: Select all

x = 16, y = 16, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
boobbbbbbboooobb$
oooobobboobooooo$
ooobbbobobboobbo$
obbobboooboboboo$
ooboobboboobbbbb$
bobooobooboboooo$
bobooboboobbboob$
boooooobboobobob$
ooobobobobbbboob$
boboobooobboooob$
obbboboooboooooo$
ooooooobbboooobo$
oobbobbbbbboooob$
obbooobooooobbbb$
ooobobboobobbboo$
bbooboboobobbboo!

Given the rate new things are appearing, these are probably only the tip of the iceberg - there are likely many other reactions, conduits, or even new spaceship speeds.

[Rhombic]

As soon as I get (enough) free time on my hands I would like to start developing conduits in rule X3VI, but it's not easy as most useful programs for this matter are developed exclusively for CGoL.
I think there needs to be development in this line, which -as can be seen from the first page of the thread- is promising, to generate real interest in the rule at this point.

[Naszvadi]

...
Almost toggle gate:

Code: Select all

x = 145, y = 115, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
8b2o15b2o$8b2o15b2o4$28b3o$3b3o23b2o$5bo9b3o3b3o5bo$3bo2bo5b2ob4o2b3o
7b3o$3b3o6bo7bo3bo5bo2bo$3bobo6bobo4b2o2bo6b3o$11bo2bo4bo$11b3o7bobo$
20bo2bo$2o19b2o10b2o$2o31b2o6$24b2o$24bobo112bo$23bo2bo111bobo$24b3o
111bo3bo$22bo118bob2o$21bo119bo2bo$22b2o117b3o9$35b2o$34bo3b3o$40bo$
35bo3b2o$38bo$36b3o10$51b2o$50b5o$50bo3bo$51bo2bo$51b3o9$70bo$69bobo$
67bo3bo25b2o$65b2obo27bobo$65bo2bo27bo2bo$66b3o27b3o$100bo$101bo$99b2o
5$81bo$80bo2bo$80bo4bo$85bo$81bo2b2o$81bobo$81b3o10$96b2o$95b2ob2o$95b
2o2bo$96bo2bo$96b3o11$111b2o$111bobo$110bo2bo$111b3o$109bo$108bo$109b
2o!

...

Better toggle mechanism (ternary), needs 2 distant glider pair to turn on the stream:

Code: Select all

x = 238, y = 191, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
222b2o$222b2o$232bo2$227b2ob2ob2o$227b2o2bob2o$232b2o2$236b2o$229b2o5b
2o$228b2obo$228b2ob2o2$230bo4$217b3o$215b4o$214b4o$215bobobo$216b3o$
217bo11b3o$231b2o$227bo4bo$228bobo5b2o$227bo3bobo2b2o$228bobobobo$232b
obo$227bo2bo4bo$227bo2b2o$228bobob2o$202b2o$201bobo18b2o$200b2obo18b2o
$201b3o$202bo$205bo$205bo15$222b2o5bo$222b2o4b3o$226b2o2b2o$225b2o2b2o
$226b3o$227bo3b2o$214bo16b2o$213b3o$212bob2o20b2o$211b6o19b2o$212bo2b
2o$213bo2bo7bo$223bobo$223bo3bo$226bobo$226bo2$8b2o15b2o201bo$8b2o15b
2o201bo$227b3o$225b4o$224b3o2bo$28b3o192b5ob2o$3b3o23b2o195b2obo$5bo9b
3o3b3o5bo$3bo2bo5b2ob4o2b3o7b3o202b2o$3b3o6bo7bo3bo5bo2bo202b2o$3bobo
6bobo4b2o2bo6b3o196bo$11bo2bo4bo210b2o$11b3o7bobo206b3o$20bo2bo203b2o
3bo$2o19b2o10b2o191bo2bo$2o31b2o192bo2bo$222b2o4b2o$222b2o4$24b2o$24bo
bo$23bo2bo$24b3o$22bo$21bo$22b2o9$35b2o$34bo3b3o$40bo$35bo3b2o$38bo$
36b3o10$51b2o$50b5o$50bo3bo$51bo2bo$51b3o9$70bo$69bobo$67bo3bo$65b2obo
$65bo2bo$66b3o8$81bo$80bo2bo$80bo4bo$85bo$81bo2b2o$81bobo$81b3o10$96b
2o$95b2ob2o$95b2o2bo$96bo2bo$96b3o11$111b2o$111bobo$110bo2bo$111b3o$
109bo$108bo$109b2o5$49b2o$49b2o!

[LaundryPizza03]

I see people are coming back to this rule in apgsearch, mostly due to a user named unnick.

Either way, I found a true-period c/4d, the first spaceship that isn't a period multiple of c/2o or based on the 3c/12d. c/3o remains elusive.

Code: Select all

x = 35, y = 37, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
17b2o$17b2o$13b5obo$14bo$12bo4b2o$9b3o4bo$9bobobob2o$7b2o2bob2o$6b2o6b
obo$7b2o5bo2bo$4b4obo4b2ob3o$4bobo2bo4bo3b3ob2o$14bob4ob5o$5bo2b3o4b3o
2bob3o$b6o5bo2b3o2bobo3bo$2bo3bo3bobo3bo4b2ob2o$o6bob3ob2o9b2o$ob2o4bo
6bo14b2o$bobo5b2obo2bo11bobo2bo$obo6bo3bo6bob3ob2obo3bo$bo17b2o2bo2b2o
2bo2bo$13b2o5bob2o5b2ob3o$10b4obo3bobo9b3o$12bo4b3o10bob2o$12bobo3bo2b
o2bo5bobo$12b2ob2obobo9bo$15b2obo2bo7bo$17bo10b2o2bo$18bo8bobob2o$18bo
7bobobo$16b6o3b2o2bo2bo$17bob6ob2o4bo$17bo8bo2b3o$18b2o7bo$20bo$20bo$
21bo!

EDIT: Tiny skewgutter-symmetric c/4o, the third new unsimplified speed.

Code: Select all

x = 6, y = 13, rule = B2c3aei4ajnr5acn/S2-ci3-ck4in5jkq6c7c
2b2o$bo2bo$2o2bo$bo$b3o4$2b3o$2bo$b2o2bo$2bo2bo$3b2o!