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What's "Heins ketchup varieties"?dvgrn wrote: July 29th, 2021, 9:11 amYes. At least, the table that you linked to says there are the same number of 10-bit quasi still lifes as Heinz ketchup varieties, and that's exactly how many quasi still lifes are in that stamp-collection pattern.ColorfulGabrielsp138 wrote: July 29th, 2021, 9:03 am Is this a stamp collection? Did it list all possible 10-bit quasi still lifes?
The number of varieties of Heinz ketchup. If you look at a bottle of Heinz ketchup, it says "57 Heinz varieties".
The article User:ColorfulGalaxy/List_of_Patterns_by_apgcode#2 says "xp0_211u".hotdogPi wrote: July 28th, 2021, 6:30 amThe 10-cell form was chosen partly because that's what C28 asked about and partly because most U-turners go through that phase (or that phase plus a dying banana spark). xp0_211u is a 1-tick predecessor. I don't have that strong of an opinion of which form should be the canonical form; the R-pentomino and pi-heptomino are both in forms that don't always occur in the evolutionary sequence.Citation needed wrote: July 28th, 2021, 2:37 am What is the apgcode of the U-turner methuselah?
Shouldn't it be xp0_35ee?
Why did they say "xp0_211u" on LifeWiki, which refers to a completely different pattern?
It is the "belly spark" produced by a MWSS - i.e. one protruding live cell, typically flanked on both sides by another single cell on either side two cells to the side and one down. It is also produced by oscillators like the middleweight emulator, and others. In contrast with a HWSS spark that has a domino, usually flanked by two cells on the side, or the corresponding LWSS spark that only has the two side bits 3 spaces apart with nothing in between.
He might continue to ask why "xp0_11f2" is a predecessor of the MWSS spark.mniemiec wrote: July 30th, 2021, 4:15 amIt is the "belly spark" produced by a MWSS - i.e. one protruding live cell, typically flanked on both sides by another single cell on either side two cells to the side and one down. It is also produced by oscillators like the middleweight emulator, and others. In contrast with a HWSS spark that has a domino, usually flanked by two cells on the side, or the corresponding LWSS spark that only has the two side bits 3 spaces apart with nothing in between.
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x = 20, y = 20, rule = B38/S23History
2A8.2A$.A9.A$.A9.A$A2.2A5.A2.CA$3.2A8.C.A$15.A$15.2A4$10.2A$11.A$11.A
$10.A2.CA.A$13.CA.3A$19.A$13.2A.3A$14.A.A$14.A.A$15.A!
#C [[ STOP 3 ]]
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x = 48, y = 19, rule = B3/S23
45b2o$44bo2bo$43bob2o$12b2o29bobo$12bobo27b2obo$5bo3bo4bo20bo3bo4bo$4b
obo2b5o20bobo2b5o$4bobo15bo11bobo$b2obobobob2o19b2obobobob2o$o2b2obob
2o2bo11bo5bo2b2obob2o2bo$2o4bo4b2o17b2o4bo4b2o$2b4ob4o7bobobobobo5b4ob
4o$2o4bo4b2o17b2o4bo4b2o$o2b2obob2o2bo11bo5bo2b2obob2o2bo$b2obobobob2o
19b2obobobob2o$4bobobo13bo11bobobo$4bobobo25bobobo$5bobo27bobo$6bo29bo
!
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x = 4, y = 2, rule = B3/S23
o2bo$4o!
66P13muzik wrote: August 2nd, 2021, 5:59 am Are there any known sparklers that produce the highly pi-like "table" or "worker bee" spark?
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x = 4, y = 2, rule = B3/S23 o2bo$4o!
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x = 20, y = 17, rule = B3/S23
5bo$3b5o$2bo5bo$2bo2b3o10b2o$b2obo13bo$o3b2o10bobo$bobo2b2o8b2o$2ob5o$
8bo3b3o$2ob5o$bobo2b2o$o3b2o$b2obo$2bo2b3o$2bo5bo$3b5o$5bo!...but that doesn't produce it as a spark?hotdogPi wrote: August 2nd, 2021, 6:23 am66P13muzik wrote: August 2nd, 2021, 5:59 am Are there any known sparklers that produce the highly pi-like "table" or "worker bee" spark?
Code: Select all
x = 4, y = 2, rule = B3/S23 o2bo$4o!
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x = 20, y = 17, rule = B3/S23 5bo$3b5o$2bo5bo$2bo2b3o10b2o$b2obo13bo$o3b2o10bobo$bobo2b2o8b2o$2ob5o$ 8bo3b3o$2ob5o$bobo2b2o$o3b2o$b2obo$2bo2b3o$2bo5bo$3b5o$5bo!
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x = 7, y = 5, rule = B3/S23
3bo$3bo$ob3obo$o5bo$3bo!
what do you mean by "yield"? adding a cell to the corner of a block yields a boat after one tick; but if you mean on the same gen, off the top of my head you can't add a cell to a ship and still have it be a still life.creeperman7002 wrote: August 3rd, 2021, 9:17 pm Apart from the block, does there exist any still-life where adding any cells to it never yields another still-life?
If you mean "add cells that touch", there are many such still-lifes; e.g. there are many still-lifes that contain blocks (e.g. block on table). It's possible to add multiple additional cells to a ship (e.g. ship-tie). If unstable inductors are allowed (e.g. adding a table to a block), it's usually possible to do this to any still-life. In fact, I don't believe it is possible to construct a still-life where this is impossible (although I don't have a rigorous proof for this).creeperman7002 wrote: August 3rd, 2021, 9:17 pmApart from the block, does there exist any still-life where adding any cells to it never yields another still-life?
Code: Select all
x = 103, y = 101, rule = B3/S23
boo61boo$bbo61boo12boo14boo$bo3bo10bobbo11bobbo26bo6bo8bobbo12bobbo$b
5o10b4o11b4o26b8o9b3o13b3o$$3bo14boo13bobo27bobbo11boobo11boboo$bbobo
13boo13boobo26b4o12bob3o7b3obo$3bo32bo42bo4bo5bo4bo$36boo25boo13boo3b
oo5boo3boo$63boo6$boo61bo13boo$bbo59b3o14bo$bo3bo10bobbo11bobbo26bo5bo
10bo3bo$b5o10b4o11b4o26b7o10b5o$$3bo3bo10boobbo10bobobo25bobboo10boob
oo$bbobobobo8bob4o9bob3obo24b4obo10bobo$3bo3bo9bo14bo5bo29bo10bobo$4b
3o9boo3boo10b5o25boo3boo10bo$21boo40boo$3boboo28bo$3boobo27bobo$35bo3$
boo61bo$bbo59b3o13boo$bo3bo10bobbo11bobbo26bo5bo9bobbo13bobbo$b5o10b4o
11b4o26b7o10b3o13b4o$$3bo4bo9boo3bo9bobobbo24bobbobo9boobobo9boboobo$
bbobobbobo9bobbobo6b3ob4o24b4ob3o7bob3obo6b3oboboo$3bo4bo10bobobbo5bo
40bo12bo5bo$4b4o12bo3boo5b3oboo28boob3o11boo7b8o$33boobo28boboo13bo10b
o4bo$4boo77bo11bo$4boo76boo10boo4$boo$bbo$bo3bo10bobbo11bobbo$b5o10b4o
11b4o$$3bo3boo9boobboo9boboboo$bbobobbo10bo3bo9bob3obo$bbobbobo11bo3bo
8bo$boo3bo11boobboo9boo$19bobo12bo$19bobo11bo$20bo12boo$$64boo$65bo$b
oo61bo3bo$bbo61b5o9boo14boo$bo3bo10bobbo11bobbo26bo9bo5bobbo12bobbo$b
5o10b4o11b4o26b11o6b3o13b3o$$3bo5bo8boo4bo8bobo3bo23bobbobbo8boobobbo
8boboobbo$bbobo3bobo8bobb3o7boboo3b3o21b4obb3o7bob4o6b3obo3b3o$3bobobo
bo9bobo10bo9bo29bo6bo10bo4bo6bo$4bo3bo9booboo10b3o5bo21boob6o6boo3boo
6b4o6bo$5b3o27bo4bo22boobobbo13boo13bobo$35bobobo53boo3boo$4boboo26boo
boo54bobboo$4boobo86boobo3$boo76boo$bbo63boo12bo$bo3bo10bobbo11bobbo
30bobbo9bo4bo$b5o10b4o11b4o31b3o9b6o$$3bo3bobo8boobbobo8bobobobo23bobb
oobo8booboobo$b3o3boobo6bobobboobo6bobooboobo20b3o3bob3o7boboboo$o9bo
6bobboo3bo6bo7bo19bo6bo4bo6bobo$bo5b3o6boo3bo3boo6b3ob3o21bo6b4o8boo$
bbo4bo10b3o14bobo24bobo$3bobobo10bo17bo26boo3boo$4booboo56boobbo$65bob
oo3$boo92boo$bbo64boo10boo15bo$bo3bo10bobbo11bobbo31bobbo8bobbo12bo4bo
$b5o10b4o11b4o32b3o8b3o13b6o$$3bo4boo8boo3boo8bobobboo23bobboboo8boobo
boo8bobooboo$3b3obbo10bobbobo7boboobbobo22b4obo9bob3obo8boobobo$6bobo
10bobo10bo3boobbo27bo27bobo$5booboo10bo10boo3bo3boo21boo3boo9boo15boo$
37b3o23boo14boo$39bo!
If you have a binary string on the top of the still-life of the form:mniemiec wrote: August 4th, 2021, 2:34 amIf you mean "add cells that touch", there are many such still-lifes; e.g. there are many still-lifes that contain blocks (e.g. block on table). It's possible to add multiple additional cells to a ship (e.g. ship-tie). If unstable inductors are allowed (e.g. adding a table to a block), it's usually possible to do this to any still-life. In fact, I don't believe it is possible to construct a still-life where this is impossible (although I don't have a rigorous proof for this).creeperman7002 wrote: August 3rd, 2021, 9:17 pmApart from the block, does there exist any still-life where adding any cells to it never yields another still-life?
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x = 13, y = 5, rule = B3/S23
o2b2o3bo$4obobobob2o$5bobobobo$2o3bobobobo$2o4bo3bo!Code: Select all
x = 16, y = 12, rule = B3/S23
3b2ob2o$3b2ob2o2$b9o$o9bo$b9o2$3bo2b2o3bo$3b4obobobob2o$8bobobobo$3b2o
3bobobobo$3b2o4bo3bo!This can be optimized in two ways:calcyman wrote: August 4th, 2021, 7:21 amIf you have a binary string on the top of the still-life of the form: ...
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x = 130, y = 3, rule = B3/S23
bboo41boo18boo41boo18boo$obbo16bobbo16bobbobbo13bobbobbo13bobbobbo13bo
bbobbobbo10bobbobbobbo$3o17b4o16b5o15b6o14b7o13b8o12b9o!
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x = 9, y = 9, rule = B3/S23
2b2ob2o$3bobo$o7bo$2o5b2o2$2o$o$3bo$2b2o!
An interrupted traffic light:hotdogPi wrote: August 6th, 2021, 8:34 am I know I've seen it once manually (but I think in a symmetrical pattern), and https://catagolue.hatsya.com/census/b3s23/Pseudo_C1/xp2 seems to indicate it occurs way more often than by chance, but I don't know what pattern creates this. Does anyone know?
Code: Select all
x = 9, y = 9, rule = B3/S23 2b2ob2o$3bobo$o7bo$2o5b2o2$2o$o$3bo$2b2o!
Lewis wrote: September 2nd, 2012, 8:32 am Rection produces a pseudo-oscillator made of 3 beacons:Code: Select all
x = 11, y = 14, rule = 23/3 8bo$7b3o$6b2ob2o$7b3o$8bo2$b2o$o2bo$b2obo4$bo$2o!
There is one collision of a traffic light and a honeyfarm that makes it plus some junk that kills it. If the junk is tamed, the three beacons can survive:hotdogPi wrote: August 6th, 2021, 8:34 amI know I've seen it once manually (but I think in a symmetrical pattern), and https://catagolue.hatsya.com/census/b3s23/Pseudo_C1/xp2 seems to indicate it occurs way more often than by chance, but I don't know what pattern creates this. Does anyone know? ...
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x = 54, y = 26, rule = B3/S23
30bo$28bobo$29boo4$45bo$11bo33bobo$12bo32boobboo$10b3o3boo31bobo$15boo
17bobo12bo$17bo17boo$35bo$$7bobo$8boo$8bo$10boo$oo8bobo23boo$boo7bo26b
oo$o35bo3$51b3o$51bo$52bo!
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x = 32, y = 40, rule = B3/S23
31bo$29b2o$30b2o$obo$b2o$bo8bo$11b2o$10b2o8$22b2ob2o2b2o$8b3o12bobo3b
2o$10bo10bobobo$9bo11b2o2bob4o$25bobo2bo$26bo$20b2o$19bobo$18bobo$5b2o
11bo$6b2o9b2o$5bo3$17b2o$17b2o$7b2o$6bobo$8bo$27b3o$27bo$28bo$2b2o$bob
o$3bo!Code: Select all
x = 47, y = 49, rule = B3/S23
2bo$obo$b2o6$24bo5b2o$23bobo3bobo10bo$23bobo2bo13bobo$20b2obobobob2o11b
2o$13b2o4bo2b2obob2o2bo$13b2o4b2o4bo4b2o$21b4ob4o$13b2o4b2o4bo4b2o$13b
2o4bo2b2obob2o2bo$20b2obobobob2o$22bo2bobo$12b2o2b2obobo3bobo$12b2o2b
2ob2o5bo2$26bo$22b2o2b3o$22bo6bo$17bob2obo5bobo$17b2ob2o7b2o2$32bo$30b
3o$29bo$29b2o3$3bo$3b2o$2bobo2$26bo$25b2o$25bobo16b2o$44bobo$44bo$7b3o
$9bo$8bo$26b3o$26bo$27bo!Code: Select all
x = 41, y = 32, rule = B3/S23
3bo$4bo$2b3o8bo$14b2o$13b2o2$7bo23bo$8b2o20bo$7b2o21b3o$36bo$35bo$35b
3o8$6bo19b2o10b2o$6bo19b2o10bobo$4b2ob2o29bo$19b2o5b2o$2bobo3bobo7bo2b
o3bobo$2bo7bo4b2o2bobo2bobo$2o9b2obo2b2obo3bo$2bo7bo4b2o2bo3b2o$2bobo
3bobo7bo$19b3o$4b2ob2o12bo$6bo$6bo!There is a cheaper-looking alternative for the third example.wwei47 wrote: August 6th, 2021, 11:18 pm Is there a reason why the boat with tail seems to be such a versatile reactant in synthesis components? I've used it three times in three unrelated components already, and it's not exactly the most common object to use as a reactant.
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x = 39, y = 40, rule = B3/S23
3bo$4bo$2b3o8bo$14b2o$13b2o2$7bo23bo$8b2o20bo$7b2o21b3o2$35bo$34bo$34b
3o7$6bo$6bo$4b2ob2o$19b2o$2bobo3bobo7bo2bo$2bo7bo4b2o2bobo$2o9b2obo2b
2obo3b2o$2bo7bo4b2o2bo4bo$2bobo3bobo7bo8bo$19b3o4b2o$4b2ob2o12bo$6bo$
6bo6$37bo$36b2o$36bobo!