Forums for Conway's Game of Life
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You can read about them here.HelicopterCat3 wrote: January 6th, 2021, 8:53 am I've seen some rules with a d at the end of them and some people label them as deficient. What exactly is a deficient rule?
So basically, any excluded birth transitions will instead be born into a different state? Does this 3rd state have to have totalistic transitions?Ian07 wrote: January 6th, 2021, 9:04 amYou can read about them here.HelicopterCat3 wrote: January 6th, 2021, 8:53 am I've seen some rules with a d at the end of them and some people label them as deficient. What exactly is a deficient rule?
State 2 (states 2 through one million actually but whatever) is deficient—it has all the same transitions except it cannot birth with 3i or whatever, and survival means transitioning to state 1 which can.HelicopterCat3 wrote: January 6th, 2021, 10:07 am So basically, any excluded birth transitions will instead be born into a different state? Does this 3rd state have to have totalistic transitions?
As far as I know, a rule with spaceships can have c/3d if there's B1e, B2a, B2e, or S4w, S5a.hotdogPi wrote: January 8th, 2021, 10:01 pm What determines if c/3 diagonal is possible for a given rule?
As far as I know, these rules apply to every diagonal speed above c/4d.
(except ones below 2c/7d where S4w is sufficient by itself)wwei23 wrote: January 8th, 2021, 11:01 pm As far as I know, these rules apply to every diagonal speed above c/4d.
Code: Select all
x = 24, y = 19, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaICatIAAgAAWaH7oaIDogGiA6ICAAIAAaIDogIAAgC1AAIAAAAAAAA
17bo$16bobo$9b3o3b2obo$8bo2bo3bo3bo$8bo3bo$8b4o4b3o3$20bo$19b4o$19bob
2o$21bobo$22b2o3$b3o4bobo2b3o$o2bo3bo2b2obo2bo$o3bo3bobo2b3o$4o!
I meant that ONE of the listed transitions was sufficient to allow diagonal speeds above c/4d.bubblegum wrote: January 9th, 2021, 12:02 am (except ones below 2c/7d where S4w is sufficient by itself)
Interesting placement of the "or", then.wwei23 wrote: January 9th, 2021, 9:27 am I meant that ONE of the listed transitions was sufficient to allow diagonal speeds above c/4d.
I was trying to separate the birth conditions from the survival conditions.
Code: Select all
x = 134, y = 126, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c
22bo$14bo6bobo90bo$13bobo6bo90bobo$14bo99bo2$28bo$27bobo$bo26b2o$obo
129bo$bo129bobo$132bo4$56bo59bo$55bobo57bobo$56bo59b2o3$32bo$31bobo$
32bo60bo$92bobo$93bo2$85bo$84bobo5bo19bo$58bo26bo5bobo17bobo$57bobo31b
2o19bo$58b2o2$72bo$26bo44bobo$25bobo44bo$26bo5$102bo$97bo3bobo$96bobo
3bo$97bo4$49bo$48bobo$49bo$53bo$52bobo$53bo2$34b2o$34bobo$35bo4$19bo
106bo$18bobo104bobo$19bo106bo$42b2o19bo$42bobo17bobo$43bo19bo40bo$103b
obo13b3o$37bo66bo14b3o$36bobo5bo75bo$37bo5bobo$44bo58bo$102bobo$102b2o
$60bo$59bobo$60bo2$46b2o$45bobo63bo$46bo26bo$72bobo36bo$73bo36b3o4$
105bo3b3o$104bobo$105bo2$109b3o$44bo$43bobo$44bo2$103bo13bo$100bob2o
13b2obo$88b3o12bo13bo12b3o$87bo2bo39bo2bo$87bo2bo39bo2bo$87b2o5bo31bo
5b2o$91bobo5b3o4bo7bo4b3o5bobo$92bo8bo7b3o7bo8bo$92b2o4bo2bo4bo7bo4bo
2bo4b2o$90b3o4bo2bo4b3o5b3o4bo2bo4b3o$91bo3bo29bo3bo$95bo2bo23bo2bo$
95b3o25b3o8$104bo11bo$101bob2o11b2obo$89b3o12bo11bo12b3o$88bo2bo37bo2b
o$88bo2bo37bo2bo$88b2o5bo29bo5b2o$92bobo5b3o4bo5bo4b3o5bobo$93bo8bo15b
o8bo$93b2o4bo2bo4bo5bo4bo2bo4b2o$91b3o4bo2bo4b3o3b3o4bo2bo4b3o$92bo3bo
27bo3bo$96bo2bo21bo2bo$96b3o23b3o!
#C [[ GRAPH ]]
If I understand correctly, in an deficient rule, a cell that was just born may not help another cell be born using the same transition that it was just born in.HelicopterCat3 wrote: January 6th, 2021, 8:53 am I've seen some rules with a d at the end of them and some people label them as deficient. What exactly is a deficient rule?
Oh that makes much more sense than how it was explained on the wiki.MathAndCode wrote: January 20th, 2021, 2:08 pmIf I understand correctly, in an deficient rule, a cell that was just born may not help another cell be born using the same transition that it was just born in.HelicopterCat3 wrote: January 6th, 2021, 8:53 am I've seen some rules with a d at the end of them and some people label them as deficient. What exactly is a deficient rule?
Code: Select all
x = 67, y = 22, rule = B2ce3ajk4ak5ajk6e78/S2ei3aejkr4-cny5-e6-a78
bob2o16bob2o17b3o16bob2o$o2b2o15bo2b2o17b3o15bo2b2o$2b2ob2o15b2ob2o15b
2ob2o15b2ob2o$2bo2b2o15bo2b2o15bo2b2o15bob3o$2b2o18b2o18b2o18bob3o$2b
2o18b2o18b2o18bo$22bob2o16bob2o16bo$b2o19bob2o14bobob2o16bo$b2o19b2o
17b3o18bo$22b2o18b2o18bob2o$22bob2o16bob2o16bob2o$22bob2o16bob2o16b2o$
22b2o18bo19b2o$22b2o18bo$22bob2o16bob2o15b2o$22bob2o16bob2o15b2o$22b2o
18b2o$22b2o18b2o$22bo2b2o15bo2b2o$22b2ob2o15b2ob2o$22b3o17b3o$22b3o17b
3o!Code: Select all
x = 84, y = 17, rule = B2ce3ajk4ak5ajk6e78/S2ei3aejkr4-cny5-e6-a78
79b2o$69b2o8b2o$58b2o9b2o$46b2o10b2o20b2o$35b2o9b2o22b2o8b2o$23b2o10b
2o22b2o9b2o8bob2o$23b2o22b2o10b2o9bob2o6bob2o$36b2o9b2o10bob2o7bob2o6b
o$24b2o10b2o9bob2o8bob2o7bo9bo$12bob2o8b2o10bob2o7bob2o8bo2bo7bo9bo$bo
b2o6bo2b2o8bob2o8bob2o7bob2o8bob2o7bob2o6bob2o$o2b2o8b2o7bobob2o6bobob
2o5bobob2o6bobob2o5bobob2o4bobob2o$2b2ob2o6bob2o6b3o9b3o8b3o9b3o8b3o7b
3o$2bo2b2o6bob2o7b2o10b2o9b2o10b2o9b2o8b2o$2b2o9b2o$2b3o8b3o7b2o10b2o
9b2o10b2o9b2o8b2o$2b3o8b3o7b2o10b2o9b2o10b2o9b2o8b2o!
Code: Select all
x = 49, y = 11, rule = B2ce3ajk4ak5ajk6e78/S2ei3aejkr4-cny5-e6-a78
bob2o12bob2o10bob2o$o2b2o11bo2b2o9bo2b2o$2b2ob2o11b2o12b2o$2bo2b2o11bo
b2o10bob2o$2b2o14bob2o10bob2o8bobobo$2b2o14b2o12bob2o$18b2o12b2o$b2o
29b2o$b2o14b2o$17b2o12b2o$31b2o!
Code: Select all
x = 104, y = 105, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c
54bo$53bobo$54bo10$bo24bo$obo12bo9bobo$bo12bobo9bo26bo$15b2o35bobo$52b
2o$18b2o29bo$17b3o19bo8b3o$18b2o18bobo7b3o$39bo5$54bo$53bobo$19bo34bo$
18bobo$19bo9$48bo$47bobo$13bo34bo$12bobo$13bo5$28bo$17b3o7bobo18b2o$
17b3o8bo19b3o$18bo29b2o29bo9bo$14b2o62bobo8bo$13bobo35b2o26bo8b4o$14bo
26bo9bobo37b2o$40bobo9bo35bobob2o$41bo50bo$66bo17b3o2b3o$58bo6bobo15bo
2bo$57bobo6bo16bo3bo$58bo24b2o2b2o$85bo3bo8b3o$86b3o9bobo$86b3o8bo2bo$
96b2o3b3o$96b2o5bo$13bo81bobobo2b2o$12bobo64b3o12b2o2bo$13bo65bobo6b3o
2b3o2b2o2bo$79b3o12b2o2bo$95bobobo2b2o$96b2o5bo$96b2o3b3o$97bo2bo$98bo
bo$98b3o2$95b2o$95b3o$95b2o2$98b3o$98bobo$97bo2bo$96b2o3b3o$96b2o5bo$
95bobobo2b2o$79b3o12b2o2bo$79bobo6b3o2b3o2b2o2bo$79b3o12b2o2bo$95bobob
o2b2o$96b2o5bo$96b2o3b3o$86b3o8bo2bo$86b3o9bobo$85bo3bo8b3o$83b2o2b2o$
83bo3bo$83bo2bo$84b3o2b3o$92bo$88bobob2o$91b2o$88b4o$89bo$89bo!
It depends on your point. But generally, unsimplified is preferable.HelicopterCat3 wrote: March 5th, 2021, 11:48 am When posting ships you've discovered, is it more acceptable to post their unsimplified speed, or their simplified speed?
Judging by a quick apgsearch run, there are about 1.8 eater 1s for every 100 soups in B3-r4z/S23, while the ratio is 0.34 for Life, so yes, fishhooks are more common.MathAndCode wrote: March 9th, 2021, 4:48 pm Is it just me, or are fishhooks and aircraft carriers more common in B3-r4zS23 than in B3S23? (Technically, everything besides the beehive has relative frequency of zero, but I mean excluding the common beehive puffer.)
Code: Select all
x = 3, y = 5, rule = B3-r4z/S23
obo$obo$2bo$2o$2o!
Ah, yes. That's the procrestinator. How did I not realize that?goldenratio wrote: March 9th, 2021, 7:14 pmThe eater seems to be more common because of this, which has a lot of 2- or 3- generation predecessors:Code: Select all
x = 3, y = 5, rule = B3-r4z/S23 obo$obo$2bo$2o$2o!
Code: Select all
x = 27, y = 4, rule = B3/S23
bo21bo$4o19bob2o$3b2o17bo3bo$26bo!…because you don't go around, looking for sequences that last at least six generations and were mentioned once in an obscure, badly-documented, ancient place and memorising every step of them?MathAndCode wrote: March 9th, 2021, 7:25 pm Ah, yes. That's the procrestinator. How did I not realize that?