## Larger than Life

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

### Re: Larger than Life

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

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