Find a rule with...

[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.

[wildmyron]

-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:

-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).

-Find a Non-totalistic rule with a minimum period 23 oscillator,etc.

I don't understand what you mean with this one.

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."?

[AforAmpere]

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!

[wildmyron]

-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!

-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!

-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

[wildmyron]

Update with most recent results:

-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:

-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!

-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.

[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.

[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.

[83bismuth38]

find a stable, nontotalistic, HEXAGONAL rule with a NATURAL ship.

[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.

[Saka]

find a stable, nontotalistic, HEXAGONAL rule with a NATURAL ship.

Tutorials!!!

[wildmyron]

-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!

[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.

[AforAmpere]

My first attempt at that:

Code: Select all

x = 3, y = 5, rule = B2cen/S02n3i
o2$2bo2$o!

Area 15 bounding box

[Saka]

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!

[wildmyron]

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.

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!

[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

[wildmyron]

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

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?

[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.

[praosylen]

I posted this 2-cell p62 elsewhere:

Code: Select all

x = 3, y = 1, rule = B2-kn3ce4aj5aei6-ik8/S1e2ei3aci4jnq5-ijnq6an
obo!

[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.

-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!

-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.

-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!

-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!