## The hunt for another B3457/S4568 ship

For discussion of other cellular automata.
Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

### The hunt for another B3457/S4568 ship

B3457/S4568 is known for it's terribly slow c/5648, the slowest orthogonal elementary ship known. But are there other ships out there? Who knows? I have done ntzfind from p2 to p10, w6 to w8, currently doing p10 w7.
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!  (Check gen 2) A for awesome Posts: 1902 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: The hunt for another B3457/S4568 ship This is an outer-totalistic rule, so you can just use normal zfind. I hope that helps at the higher widths. x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ http://conwaylife.com/wiki/A_for_all Aidan F. Pierce drc Posts: 1664 Joined: December 3rd, 2015, 4:11 pm Location: creating useless things in OCA ### Re: The hunt for another B3457/S4568 ship These types of rules interest me. I'm currently trying to hunt for the slowest ship by using blob rules. Wish me luck. This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.) Current rule interest: B2ce3-ir4a5y/S2-c3-y muzik Posts: 3502 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: The hunt for another B3457/S4568 ship I find it interestingly coincidental that the speed of the spaceship is an anagram of the survival conditions. Here's hoping for a c/7543 or c/8654 ship. Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace! Bullet51 Posts: 536 Joined: July 21st, 2014, 4:35 am ### Re: The hunt for another B3457/S4568 ship I strongly suggest a c/7 diagonal bilateral symmetric search, since we have this (promising) partial: Code: Select all x = 74, y = 74, rule = B3457/S4568 4b4o$2bob4o$b4obob2o$2b8o$4o2bob4o$2obo2b6o$6ob3obobo$2obob2ob3ob2o$2b 6obob5o$2b7o3bo2bo$4b2obo2bob6o$4b3obo2bob2ob2o$7b4ob2ob5o$6b3ob10o$8b ob2ob9o$8b3ob3ob6o$10b9o3bo$10b11o2b2o$12b13o$12b4ob4ob5o$14b2ob3ob6o$
14b2o2bob2ob5o$16bob3ob2ob2o2bo$17b6o3b4o$17b5o2bob2ob3o$19b4o3b4obo$19b15o$21bob4ob2o3bo$23bob3obo3b3o$22b9ob4o$24bobo2b3ob5o$24b3o3bob2ob
3o$26bo2bob3ob5o$26b9obob2o$28b3o2bob7o$28b5ob2ob2ob2o$30b5o3b2ob3o$
30b3ob2o3b2ob2o$32b5o2bob5o$32b3ob7ob2o$34b2obob9o$34b3ob5o2bobo$36b7o 2b2ob2o$36b3obo6b3o$38b3o6b5o$38b5o4b2ob2o$40bobo4b4ob2o$40b2ob4obobob
2o$42b11ob2o$42b3obob8o$44b11ob2o$44b2o2b3obobo2bobo$46b6o2bo2b2o$46b
2ob2o2b2o2b5o$48b10o2b2o$48b2o4bobobo3b2o$50bo3b3obobob2o$50b5o2bobob
3obo$52b2ob2ob2o2bob2o$51bobo3b3o2bob4o$53b2obo3bob4obo$53b2o2bo3b2ob
2ob3o$55b9ob2ob2o$55b3o2bobo3bob4o$58b4o7b3o$57b6o3b6obo$59bo2b2obo2b 2obo$59b3o3bob2o$61b3ob3o$61b6o$63b3o$63b4o2$65bo!  Still drifting. velcrorex Posts: 339 Joined: November 1st, 2009, 1:33 pm ### Re: The hunt for another B3457/S4568 ship c/7 orthogonal also has promise, Code: Select all x = 19, y = 124, rule = B3457/S4568 9bo2$7b2ob2o2$4b2o2b3o2b2o$4b4obob4o$3b3o2bobo2b3o$3bobo2bobo2bobo$b4o 2bo3bo2b4o$4b5ob5o$3obobo2bo2bobob3o$3b5obob5o$8obob8o$3bo2b7o2bo$5ob 7ob5o$b3obo3bo3bob3o$ob15obo$b17o$2o3b2ob3ob2o3b2o$5b3obob3o$3ob4obob 4ob3o$bob5obob5obo$6ob5ob6o$bo2bob3ob3obo2bo$5ob7ob5o$3bobo7bobo$5ob7o b5o$b17o$2obobo3bo3bobob2o$b17o$3o5bobo5b3o$b4ob7ob4o$3ob4obob4ob3o$2b
o2b9o2bo$7ob3ob7o$b5obobobob5o$6obobobob6o$b2ob2ob5ob2ob2o$7ob3ob7o$bo
bob3o3b3obobo$obobo3bobo3bobobo$b3o2b3ob3o2b3o$3ob3ob3ob3ob3o$2b7ob7o$9ob9o$bo4bobobobo4bo$3ob2ob2ob2ob2ob3o$3bob3o3b3obo$2obo4b3o4bob2o$b3o
2bob3obo2b3o$ob2ob9ob2obo$b3ob4ob4ob3o$o4b9o4bo$b4o3bobo3b4o$ob15obo$b
3o3bobobo3b3o$5ob2o3b2ob5o$bob13obo$4ob9ob4o$bo2b5ob5o2bo$3ob11ob3o$2b
obobo2bo2bobobo$6obobobob6o$b2ob4obob4ob2o$ob15obo$b4o2b5o2b4o$19o$bo
2bobo2bo2bobo2bo$4o2b7o2b4o$b17o$19o$b17o$2ob13ob2o$b7obob7o$7o2bo2b7o$3o2b3obob3o2b3o$2b7ob7o$5ob3ob3ob5o$bob2ob3ob3ob2obo$3ob11ob3o$b7o3b 7o$o3bob7obo3bo$bo2b3ob3ob3o2bo$ob4ob5ob4obo$b7obob7o$ob3o3b3o3b3obo$b o2b11o2bo$4obob5obob4o$bobob4ob4obobo$2ob2o2b5o2b2ob2o$bob13obo$3o5b3o
5b3o$b7obob7o$o2b13o2bo$b4obob3obob4o$5ob7ob5o$bo2b4obob4o2bo$2obob4ob
4obob2o$b4ob7ob4o$o4bob5obo4bo$b8ob8o$2obob9obob2o$b6ob3ob6o$2ob4ob3ob
4ob2o$b7obob7o$19o$2bo2bo2b3o2bo2bo$3o2bobobobobo2b3o$b3obob5obob3o$ob
o4bobobo4bobo$b2ob2ob2ob2ob2ob2o$b3ob3o3b3ob3o$b2o2b9o2b2o$4b3obobob3o
$ob3o2b5o2b3obo$b17o$6ob2ob2ob6o$2b4ob5ob4o$2ob3ob5ob3ob2o$bob6ob6obo$19o$b2ob11ob2o$ob15obo$2b6o3b6o!

EDIT:
And c/5 potential:

Code: Select all

x = 117, y = 25, rule = B3457/S4568
12bobobo2bobobobobobobob2o4bo2bobobobobobobobobobobobobobobobobob2obob
o29bob2o$12b5obob11obo2b3ob2obob2ob2o2b4ob6obobobob4obobob4obo2bobobob obo2bobobo2bobobobo2b2o$bobobobobo2bob7o2bob4o2b3obob2ob5ob4ob2obo2b2o
bo2b6ob6ob4ob3ob6ob3ob3obob6ob2ob2obo$b4ob13ob4ob8ob4ob5ob4ob3o2b4ob5o 4b3o3b6o2b4o4b11obob8ob2o$6o2b11ob4obo4b2ob13obob3ob19ob3ob4obobo11b5o
b3obo2b3o2b2o$3ob2o2b11ob2ob13ob8obobob6ob6o2b5ob3o2b2ob4obo3b3o3b2o2b 6ob5ob5o$2b5o2bo2bobo2bobobob2ob3ob5ob3obob2ob3ob7obob3ob17ob5o3bob2ob
2o2bo2b4obo2b3ob3o$2b2o2b6ob2ob3ob2ob3ob9ob8ob2o3bobob5ob2o2b5o2b5ob4o bo2b3ob5ob2ob2ob7ob6o$2bobob2ob4obob3obo2b2obob2ob2o2b5obob5obobobobob
3ob9o2b2ob4ob2obo2b4o2b4o2bob3o2b8ob2o$4bo3b2o2b9o2b3ob3ob2ob3obobob4o bobobobobob3o2bob3o2b4ob5obobob5ob8o2b7ob2o3b3o$6bobo2bobob6o2b4ob2obo
3b6obob6ob6o2b5obo2b2o3b2obobob2o2b7o2b3obo2b3ob4obobob3o$5b10ob6o4bob 11obo2b2o3b3ob2o2bo2bob8obob3obobobobob2ob9ob5o2bob4obob3o$5bobobob2ob
3ob4ob11o2b5ob4o2b2o2b2o2bo2bo2bob3ob8o2bobo2b6ob6obo2b5ob3o2b3obo$5b 10ob6o4bob11obo2b2o3b3ob2o2bo2bob8obob3obobobobob2ob9ob5o2bob4obob3o$
6bobo2bobob6o2b4ob2obo3b6obob6ob6o2b5obo2b2o3b2obobob2o2b7o2b3obo2b3ob
4obobob3o$4bo3b2o2b9o2b3ob3ob2ob3obobob4obobobobobob3o2bob3o2b4ob5obob ob5ob8o2b7ob2o3b3o$2bobob2ob4obob3obo2b2obob2ob2o2b5obob5obobobobob3ob
9o2b2ob4ob2obo2b4o2b4o2bob3o2b8ob2o$2b2o2b6ob2ob3ob2ob3ob9ob8ob2o3bobo b5ob2o2b5o2b5ob4obo2b3ob5ob2ob2ob7ob6o$2b5o2bo2bobo2bobobob2ob3ob5ob3o
bob2ob3ob7obob3ob17ob5o3bob2ob2o2bo2b4obo2b3ob3o$3ob2o2b11ob2ob13ob8ob obob6ob6o2b5ob3o2b2ob4obo3b3o3b2o2b6ob5ob5o$6o2b11ob4obo4b2ob13obob3ob
19ob3ob4obobo11b5ob3obo2b3o2b2o$b4ob13ob4ob8ob4ob5ob4ob3o2b4ob5o4b3o3b 6o2b4o4b11obob8ob2o$bobobobobo2bob7o2bob4o2b3obob2ob5ob4ob2obo2b2obo2b
6ob6ob4ob3ob6ob3ob3obob6ob2ob2obo$12b5obob11obo2b3ob2obob2ob2o2b4ob6ob obobob4obobob4obo2bobobobobo2bobobo2bobobobo2b2o$12bobobo2bobobobobobo
bob2o4bo2bobobobobobobobobobobobobobobobobob2obobo29bob2o!

-Josh Ball.

muzik
Posts: 3502
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: The hunt for another B3457/S4568 ship

A really, really, really, really, really, really bad c/4 partial from zfind:

Code: Select all

x = 16, y = 8, rule = B3457/S4568
7b2o2$5b6o$3b10o$3b3ob2ob3o$b14o$3obobo2bobob3o$3ob8ob3o!

A considerably much better (but not as much as the one above) c/7:

Code: Select all

x = 18, y = 19, rule = B3457/S4568
8b2o2$6b6o2$4b2obo2bob2o$3bo10bo$2b3obo4bob3o$2bobo8bobo$2o2b10o2b2o$3bo10bo$6ob4ob6o$bob3o6b3obo$o3b10o3bo$b6o4b6o$ob4ob4ob4obo$b6o4b6o$6o
bo2bob6o$2b6o2b6o$o2bo3b4o3bo2bo!

Heres the final result, with 0 spaceships found:

Code: Select all

x = 18, y = 22, rule = B3457/S4568
8b2o$6bo4bo$3b2o2bo2bo2b2o$b7o2b7o$2b6o2b6o$18o$b4ob6ob4o$obobob2o2b2o bobobo$b6ob2ob6o$ob14obo$b4o2b4o2b4o$obob10obobo$bob12obo$o3b3ob2ob3o 3bo$b3ob2ob2ob2ob3o$18o$2b6o2b6o$3o2b3o2b3o2b3o$ob14obo$bobob8obobo$ob
obob2o2b2obobobo\$bob12obo!

Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!