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Find a rule with...
Posted: June 29th, 2017, 8:06 pm
by AforAmpere
These are sort of rule finding challenges, like:
-Find a Non-totalistic rule with the most three-cell spaceships.
-Find a Non-totalistic rule with the highest period oscillator with three cells at its minimum phase, my best bet is this p72:
Code: Select all
x = 3, y = 4, rule = B2ek3aei/S02cek5q
bo2$o$2bo!
-Find a Non-totalistic rule with a minimum period 23 oscillator,etc.
-Find a Non-totalistic rule with the most spaceship speeds.
I will keep track of the records for these, and other challenges, you can also pose other challenges, but not too many, or some will be left out.
Re: Find a rule with...
Posted: July 4th, 2017, 10:39 am
by wildmyron
AforAmpere wrote:-Find a Non-totalistic rule with the highest period oscillator with three cells at its minimum phase
p132 oscillator which works in rules B2c3aceijknq4eijnrtwy5ei6acek7c8/S03kny4ijt5aenq6i8 - B2c3aceijknq4eijnqrtwy5ceikq6acekn7c8/S03kny4ijtwz5aceknq6ein8
Code: Select all
x = 5, y = 1, rule = B2c3-ry4-ackqz5ei6-in7c8/S03kny4ijt5aenq6i8
obobo!
The rule I found it in also happens to have a natural 7-cell c/19 spaceship (this is the minimal rule)
Code: Select all
x = 5, y = 7, rule = B2c3-ry4-ackqz5ceiq6c/S03ny4it5en
3bo2$o$2b3o$o2$3bo!
Edit:
p140 oscillator which works in B2cek3ejr4ceijkw5ijkqy6aceik/S12ck3aciq4aejqr6an7e8 - B2cek3ejr4ceijkw5ijkqy6aceik/S12ck3acikq4aejqr5k6an7e8
Code: Select all
x = 4, y = 1, rule = B2cek3ejr4ceijkw5ijkqy6-n/S12ck3aciq4aejqr6an7e8
2obo!
I have a small collection of high period 3-cell oscillators now.
The first one:
AforAmpere wrote:-Find a Non-totalistic rule with the most three-cell spaceships.
seems to be much harder. Even rules with just three different 3-cell spacechips are very rare (going by my survey at least).
AforAmpere wrote:-Find a Non-totalistic rule with a minimum period 23 oscillator,etc.
I don't understand what you mean with this one.
AforAmpere wrote:I will keep track of the records for these, and other challenges, you can also pose other challenges, but not too many, or some will be left out.
How about "Find an isotropic non-totalisic rule with the slowest 3-cell spaceship."?
Re: Find a rule with...
Posted: July 4th, 2017, 11:34 am
by AforAmpere
wildmyron wrote:AForAmpere wrote:Find a Non-totalistic rule with a minimum period 23 oscillator,etc.
I don't understand what you mean with this one.
I mean find a period 23 oscillator with the smallest minimum phase.
Current records:
-Find a Non-totalistic rule with the most three-cell spaceships-
B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y, 5 three cell ships.
-Find a Non-totalistic rule with the highest period oscillator with two cells at its minimum phase- B2aci4j/S1e2e3-aciq4ei5r, p34
Code: Select all
x = 3, y = 1, rule = B2aci4j/S1e2e3-aciq4ei5r
obo!
-Find a Non-totalistic rule with the highest period oscillator with three cells at its minimum phase-
B2-ae3ajkq4inrtwy5anqr6-e/S02cik3aqy4acinwyz5einy6ce7c, p466
Code: Select all
x = 7, y = 1, rule = B2-ae3ajkq4inrtwy5anqr6-e/S02cik3aqy4acinwyz5einy6ce7c
obo3bo!
-Find a Non-totalistic rule with the most spaceship speeds- AbhpzTa's rule with infinite orthogonal speeds, B2c3ae4ai56c/S2-kn3-enq4
Literally can't be beaten, unless he makes a rule for all real speeds, which is a larger cardinal infinity (which is kind of impossible).
-Find an isotropic non-totalisic rule with the slowest 3-cell orthogonal spaceship-
B2-ai3aek4ijtz5e7e/S01c2aik3-akry4aknwy5jn6ikn7, c/56
Code: Select all
x = 4, y = 3, rule = B2-ai3aek4ijtz5e7e/S01c2aik3-akry4aknwy5jn6ikn7
o$3bo$o!
-Find an isotropic non-totalisic rule with the slowest 3-cell diagonal spaceship-
B2-ai3-ejnr4ekqrw5ir6a/S02ci3-jny4ciqy5aijk6k, c/96
Code: Select all
x = 3, y = 4, rule = B2-ai3-ejnr4ekqrw5ir6a/S02ci3-jny4ciqy5aijk6k
obo3$o!
- Find a non-totalistic rule with a 3-cell spaceship that has the largest bounding box in a phase when it only has 3 cells- B2-ai3nqr4cejn5-ceq6ack7/S02ikn3n4ajkz5ce6e7c, Area 21 bounding box
Code: Select all
x = 7, y = 3, rule = B2-ai3nqr4cejn5-ceq6ack7/S02ikn3n4ajkz5ce6e7c
o2$4bobo!
Re: Find a rule with...
Posted: July 7th, 2017, 6:04 am
by wildmyron
AforAmpere wrote:-Find a Non-totalistic rule with the highest period oscillator with three cells at its minimum phase
Here are two p178 oscillators:
Code: Select all
x = 3, y = 3, rule = B2ci3-jny4iqry5kn6cn7c/S04cjw5a6k
obo2$bo!
Code: Select all
x = 5, y = 5, rule = B2en3aci4jntw5nq6e7c/S02ace3kq4ar5j
o2$2bo2$4bo!
AforAmpere wrote:-Find a Non-totalistic rule with a minimum period 23 oscillator,etc.
3-cell p23 oscillator:
Code: Select all
x = 5, y = 1, rule = B2ei3einy4ciy5eir6i/S01c3ej4ct6i8
obobo!
wildmyron wrote:-Find an isotropic non-totalisic rule with the slowest 3-cell spaceship.
I haven't checked the 5S collection yet, but here are the slowest ones I've found:
Orthogonal - c/49
Code: Select all
x = 3, y = 5, rule = B2-ak3cjy4r5cy6cek8/S01c2-ek3aejnq4cknrt5an6kn7c8
o2$2bo2$o!
Diagonal - c/72
Code: Select all
x = 3, y = 3, rule = B2cik3ajn4cikr5acqry6aen/S02-ci3enqy4az5aeiny6-ae
2bo2$obo!
For the oscillators, I suspect there may be some interesting ones with 2 cells at their minimum phase. So far I have seen p2-p8, p10 and p12
Re: Find a rule with...
Posted: July 9th, 2017, 10:33 pm
by wildmyron
Update with most recent results:
AforAmpere wrote:-Find a Non-totalistic rule with the highest period oscillator with three cells at its minimum phase
A p288 oscillator with minimum phase of 3 cells:
Code: Select all
x = 4, y = 4, rule = B2-a3ikry4aqwyz5ce6-ae7c/S02aci3ijknq4ar5ciy
o2$o$3bo!
Formalising the 2-cell version:
wildmyron wrote:-Find a Non-totalistic rule with the highest period oscillator with two cells at its minimum phase
A p34 oscillator with minimum pfase of 2 cells:
Code: Select all
x = 3, y = 1, rule = B2aci4j/S1e2e3-aciq4ei5r
obo!
wildmyron wrote:-Find an isotropic non-totalisic rule with the slowest 3-cell spaceship.
Orthogonal - c/56
Code: Select all
x = 4, y = 3, rule = B2-ai3aek4ijtz5e7e/S01c2aik3-akry4aknwy5jn6ikn7
o$3bo$o!
Diagonal - c/96
Code: Select all
x = 3, y = 4, rule = B2-ai3-ejnr4ekqrw5ir6a/S02ci3-jny4ciqy5aijk6k
obo3$o!
In general I am posting these results in the minimal rule which they work in. I'm also only surveying rules within the isotropic part of the non-totalistic rulespace. I'm not sure if this was the intention of these challenges or not.
Re: Find a rule with...
Posted: July 10th, 2017, 12:17 pm
by muzik
A rule with an infinite amount of c/odd number speeds accessible by extending one spaceship in an extremely trivial way, similarly to that of B2c3ae4ai56c/S2-kn3-enq4 's even speeds.
Re: Find a rule with...
Posted: July 10th, 2017, 5:51 pm
by AforAmpere
Updated the challenges. Muzik, this thread is mostly for numerical based challenges, like highest period, or smallest size, or most spaceships, though I guess your question could be asked: "Find a Non-totalistic rule with the most distinct speed c/(2n+1) ships," or something like that. I am already working on that challenge, but there is probably a rule nearby AbhpzTa's rule.
Re: Find a rule with...
Posted: July 12th, 2017, 11:57 am
by 83bismuth38
find a stable, nontotalistic, HEXAGONAL rule with a NATURAL ship.
Re: Find a rule with...
Posted: July 12th, 2017, 12:02 pm
by AforAmpere
Please learn how to use Ruleloader, instead of yelling at everyone to do it for you. There are instructions all over the place, and you already got an answer in another topic.
Re: Find a rule with...
Posted: July 12th, 2017, 7:31 pm
by Saka
83bismuth38 wrote:find a stable, nontotalistic, HEXAGONAL rule with a NATURAL ship.
Tutorials!!!
Re: Find a rule with...
Posted: July 14th, 2017, 5:07 am
by wildmyron
AforAmpere wrote:-Find a Non-totalistic rule with the highest period oscillator with three cells at its minimum phase-
p466 oscillator
Code: Select all
x = 7, y = 1, rule = B2-ae3ajkq4inrtwy5anqr6-e/S02cik3aqy4acinwyz5einy6ce7c
obo3bo!
Re: Find a rule with...
Posted: July 14th, 2017, 2:11 pm
by toroidalet
Find a non-totalistic rule with a 3-cell spaceship that has the largest bounding box in a phase when it only has 3 cells.
Re: Find a rule with...
Posted: July 14th, 2017, 2:56 pm
by AforAmpere
My first attempt at that:
Code: Select all
x = 3, y = 5, rule = B2cen/S02n3i
o2$2bo2$o!
Area 15 bounding box
Re: Find a rule with...
Posted: July 14th, 2017, 8:18 pm
by Saka
AforAmpere wrote:My first attempt at that:
Code: Select all
x = 3, y = 5, rule = B2cen/S02n3i
o2$2bo2$o!
Area 15 bounding box
This might help
Code: Select all
x = 19, y = 49, rule = B3/S23
3o3b2obo3bobobo4$2o4b2o5b2o$2bo6bo4bo4$b2o3b2o4b2o2$2bo5bo6bo4$bobo2bo
bo3bo3bo$2bo11bo$7bo2$16bo$bo4bobo$2bo11bo$3bo2bo6bo3$9bo$bo14bo$4bo3b
o$2bo6bo3bobo3$10bo$5bo$10bo3bobo$bobo5bo8bo4$bo6bo3bo4bo2$3bo6bo5bo2$
5bo12bo3$bo16bo$7bo$o8bo7bo$2bo8bo4bo!
Re: Find a rule with...
Posted: July 14th, 2017, 10:22 pm
by wildmyron
toroidalet wrote:Find a non-totalistic rule with a 3-cell spaceship that has the largest bounding box in a phase when it only has 3 cells.
Saka wrote:This might help
Code: Select all
<snip rle> Loosely connected 3-cell patterns
Don't neglect patterns with isolated dots - they can still be ships and oscillators in rules with S0.
I think this (3,2)c/43 knightship is the largest I've found so far (bbox: 7x3 = 21), I haven't been keeping track of their bounding boxes:
Code: Select all
x = 7, y = 3, rule = B2-ai3nqr4cejn5-ceq6ack7/S02ikn3n4ajkz5ce6e7c
o2$4bobo!
Re: Find a rule with...
Posted: July 17th, 2017, 3:59 pm
by Rhombic
In terms of size of rotor I don't think there are that many xp23 smaller than this natural one:
https://catagolue.appspot.com/object/xp ... 4a5-an6-ci
xp23_gj36soz01
Re: Find a rule with...
Posted: July 17th, 2017, 10:20 pm
by wildmyron
I posted a 3-cell p23 oscillator above
@AforAmpere: Could you please update the results? Presuming the 2nd reply in this thread is the official results, then the highest period 3-cell oscillator is out of date (now p466) and the minimum phase p23 oscillator challenge is missing. Are you also going to include the "ship with largest 3-cell phase bounding box" challenge?
Re: Find a rule with...
Posted: July 18th, 2017, 7:39 am
by AforAmpere
Updated, sorry, I was working on the Smallest spaceships supporting specific speeds project, and it takes a lot of time, as I am now compiling the list. I kind of forgot to update it, but it is updated now.
Re: Find a rule with...
Posted: August 24th, 2017, 8:14 pm
by praosylen
I posted this 2-cell p62 elsewhere:
Code: Select all
x = 3, y = 1, rule = B2-kn3ce4aj5aei6-ik8/S1e2ei3aci4jnq5-ijnq6an
obo!
Re: Find a rule with...
Posted: February 7th, 2019, 11:26 pm
by wildmyron
It's been a while since this thread's been active, but I still like to play this game every now and then.
Several
current records are rather out of date.
AforAmpere wrote:-Find a Non-totalistic rule with the highest period oscillator with two cells at its minimum phase- B2aci4j/S1e2e3-aciq4ei5r, p34
Code: Select all
x = 3, y = 1, rule = B2aci4j/S1e2e3-aciq4ei5r
obo!
Superceeded by p62 found by A for awesome, then again by Macbi's high period 2-cell oscillators found with LLS and two-cell-oscillators.cpp. Current record found with Macbi's two-cell-oscillators.cpp:
p216, 2 cells
Code: Select all
x = 3, y = 1, rule = B2aei3-eikr4-acqwz5-aqry6-kn7e/S01e2-ac3enqry4ijknrtz5cer6-an8
obo!
AforAmpere wrote:-Find a Non-totalistic rule with the highest period oscillator with three cells at its minimum phase-
B2-ae3ajkq4inrtwy5anqr6-e/S02cik3aqy4acinwyz5einy6ce7c, p466
Code: Select all
x = 7, y = 1, rule = B2-ae3ajkq4inrtwy5anqr6-e/S02cik3aqy4acinwyz5einy6ce7c
obo3bo!
Found with my random rule search Python script:
p998, 3 cells
Code: Select all
x = 5, y = 1, rule = B2-ai3ikry4ceiryz5-cknr6ce8/S01c2i3cik4cejnwz5ejkny6an7e8
obobo!
The max period for my latest search was set to 1000, so there are likely higher period 3-cell oscillators to be found.
AforAmpere wrote:-Find an isotropic non-totalisic rule with the slowest 3-cell orthogonal spaceship-
B2-ai3aek4ijtz5e7e/S01c2aik3-akry4aknwy5jn6ikn7, c/56
Code: Select all
x = 4, y = 3, rule = B2-ai3aek4ijtz5e7e/S01c2aik3-akry4aknwy5jn6ikn7
o$3bo$o!
From the 5S project (not sure who found it):
(1,0)c/313, p313, 3 cells
Code: Select all
x = 2, y = 3, rule = B2cen3jkq4eiqrz5-jn6eik7e8/S02n3anq4knqr5jy6ein7c
bo$o$bo!
AforAmpere wrote:-Find an isotropic non-totalisic rule with the slowest 3-cell diagonal spaceship-
B2-ai3-ejnr4ekqrw5ir6a/S02ci3-jny4ciqy5aijk6k, c/96
Code: Select all
x = 3, y = 4, rule = B2-ai3-ejnr4ekqrw5ir6a/S02ci3-jny4ciqy5aijk6k
obo3$o!
From the 5S project (not sure who found it):
(1,1)c/268, p268, 3 cells
Code: Select all
x = 3, y = 4, rule = B2-a3-iknq4eijwyz5cijnq6-ci7e/S03ckqry4-aeit5ejnry6ckn7
2bo$o2$o!