Larger than Life

For discussion of other cellular automata.
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martin.novy
Posts: 138
Joined: October 22nd, 2014, 6:22 am
Location: Czechia, EU
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Re: Larger than Life

Post by martin.novy » August 10th, 2020, 9:55 am

martin.novy wrote:
August 10th, 2020, 9:28 am
lemon41625 wrote:
June 29th, 2020, 9:25 am

Diagonal Puffer
x = 16, y = 16, rule = R2,C3,M1,S6..10,B7..8,NM

1. I guess, this was the first puffer discovered in range > 1 in "non-relativistic" rules

by the way, how to define "non-relativistic" for ranges greater than 1:

I spent yesterday trying.

what I know for sure is: R2,B7 seem to me quite different from R2,B5 ...
... as R1,B3 is quite different from R1,B2


----

EDIT: or maybe I should call R2,B7 rules with spaceships : "rules with bugs" ?
R2,B5 .... "rules without bugs" ?

e.g. compare spaceships
https://catagolue.appspot.com/census/r2b7t8s7t10/C1/xq3
https://catagolue.appspot.com/census/r2b5t5s4t6/C1/xq1

----

BTW,
I am probably able to prove (weak) upper limits on the speed of:
A) info transfer
B) orthogonal ships
in rules with any range R, minimal birth Bmin, and width W of the stripe that covers the ship,
with assumptions:
* finite pattern
* infinite space
* long distances
* orthogonal speed

the proofs need to simulate a "covering-rule" e.g.
for R2,B7, the covering-rule is R2,C2,M0,S0..24,B7..24,NM

Code: Select all

x = 5, y = 5, rule = R2,C0,M0,S0..24,B7..24,NM
5o$5o$5o$5o$5o!
With the assumptions above, any rule R2,B7 probably cannot transfer info faster than 1*c;

Code: Select all

x = 5, y = 5, rule = R2,C0,M0,S0..24,B7..24,NM:P100,5
5o$5o$5o$5o$5o!
(and for spaceships of width max. 5, in any rule R2,B7, the ships probably cannot be faster than again 1*c )

----

for B6 the same results
the covering-rule is R2,C2,M0,S0..24,B6..24,NM

----

for B5
the covering-rule is R2,C2,M0,S0..24,B5..24,NM ;
With the assumptions above, any rule R2,B5 probably cannot transfer info faster than 1.5*c;

===============

a related thread: Spaceship speed limits
viewtopic.php?f=7&t=79

lemon41625
Posts: 287
Joined: January 24th, 2020, 7:39 am
Location: 小红点 (if you know where that is)

Re: Larger than Life

Post by lemon41625 » September 8th, 2020, 10:34 am

Apparently no one has done LtL synthesises before so here goes,

3G c/4d

Code: Select all

x = 30, y = 18, rule = R2,C2,M1,S7..10,B7..8,NM
2bo$3b2o$o3b2o$bob2o$b3o$2bo10b3o$12b2ob2o$12bo3bo$12b2o2bo$13b3o3$27b
o$26b3o$25b2obo$24b2o3bo$25b2o$27bo!
4G c/5o (trivially 3G because the other stilllife can be synthesised in 2G without requiring cleanup but who cares)

Code: Select all

x = 26, y = 38, rule = R2,C2,M1,S7..10,B7..8,NM
3b3o$2b2o2bo$2b2o2bo$3b4o$4b2o4$9b3o$8b2o2bo$8bo3bo$8b2ob2o$9b3o8$3bo
$2b3o$b2obo$2o3bo$b2o$3bo7$23bo$22b3o$21b2obo$20b2o3bo$21b2o$23bo!
xs20 + converter

Code: Select all

x = 25, y = 15, rule = R2,C2,M1,S7..10,B7..8,NM
21b3o$b3o16bo2b2o$o2b2o15bo3bo$o2b2o15b2ob2o$4o17b3o$b2o4$21bo$20b3o$19b2obo$18b2o3bo$19b2o$21bo!
xs15

Code: Select all

x = 15, y = 40, rule = R2,C2,M1,S7..10,B7..8,NM
2bo$3b2o$o3b2o$bob2o$b3o$2bo5$11b3o$10bo2b2o$10bo3bo$10b2ob2o$11b3o9$
4bo$3b3o$3bob2o$2bo3b2o$5b2o$4bo6$5bo$4b3o$4bob2o$3bo3b2o$6b2o$5bo!
xs20

Code: Select all

x = 19, y = 14, rule = R2,C2,M1,S7..10,B7..8,NM
16b2o$4b3o8b4o$3bo2b2o6b2o2bo$3bo2b2o6b2o2bo$3b4o8b3o$4b2o4$b3o$2ob2o
$o3bo$o2b2o$b3o!
https://catagolue.appspot.com/census/r2 ... ynth_stdin
Download CAViewer: https://github.com/jedlimlx/Cellular-Automaton-Viewer

Supports:
BSFKL, Extended Generations, Regenerating Generations, Naive Rules, R1 Moore, R2 Cross and R2 Von Neumann INT
And some others...

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