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Re: Rules with Abnormally Common High-Period Patterns
Posted: August 11th, 2016, 11:22 am
by Bullet51
shouldsee wrote:
Yes. When you are counting you have to take account into the current state of the central cell. This would attribute a neighborhood index to each cell. And by monitoring covariance between counts of different index values, we can identify the strength of tangling between neighorhoods.
It turns out that chaotic rules have weak tangling, and complex rules have moderate tangling.
Maybe we are going off-topic...
Re: Rules with Abnormally Common High-Period Patterns
Posted: August 11th, 2016, 11:28 am
by BlinkerSpawn
Maybe instead of looking at variance between neighbor counts, look at variance between neighborhoods within neighbor counts?
For instance, a relatively orderly B2 rule would likely experience a lot more B2a or B2e than other B2 transitions.
Re: Rules with Abnormally Common High-Period Patterns
Posted: August 11th, 2016, 11:32 am
by shouldsee
BlinkerSpawn wrote:Maybe instead of looking at variance between neighbor counts, look at variance between neighborhoods within neighbor counts?
For instance, a relatively orderly B2 rule would likely experience a lot more B2a or B2e than other B2 transitions.
Yes I tried to include orientation into account but it multiplies the number of variable by 45, and consider this is a O(n^2) complexity..... It's not clear how much symmetry we should impose on this scheme. The less symmetry in the prior, the harder the computation. So I guess we have to impose some symmetry to reduce the computation power required.
Bullet51 wrote:
It turns out that chaotic rules have weak tangling, and complex rules have moderate tangling.Maybe we are going off-topic...
If we just use the crude estimation, rules with glider usually has an average tangling around 0.25-0.20.
Yes it's quite off topic I guess we should switch to the "smoothness" post.If we just use the crude estimation,
Re: Rules with Abnormally Common High-Period Patterns
Posted: August 11th, 2016, 11:58 am
by Bullet51
36c/72 Puffer:
Code: Select all
x = 3, y = 4, rule = B34kjrn_S2-i3
o$2o$b2o$2o!
Re: Rules with Abnormally Common High-Period Patterns
Posted: August 11th, 2016, 12:54 pm
by BlinkerSpawn
Bullet51 wrote:36c/72 Puffer:
Code: Select all
x = 3, y = 4, rule = B34kjrn_S2-i3
o$2o$b2o$2o!
Really simple quadratic:
Code: Select all
x = 3, y = 14, rule = B34jknr/S2-i3
o$2o$b2o$2o7$2o$b2o$2o$o!
Re: Rules with Abnormally Common High-Period Patterns
Posted: August 11th, 2016, 12:58 pm
by shouldsee
BlinkerSpawn wrote:Bullet51 wrote:36c/72 Puffer:
Code: Select all
x = 3, y = 4, rule = B34kjrn_S2-i3
o$2o$b2o$2o!
Really simple quadratic:
Code: Select all
x = 3, y = 14, rule = B34jknr/S2-i3
o$2o$b2o$2o7$2o$b2o$2o$o!
You guys sure this is high-period pattern
?
Re: Rules with Abnormally Common High-Period Patterns
Posted: August 11th, 2016, 1:12 pm
by Bullet51
shouldsee wrote:BlinkerSpawn wrote:Bullet51 wrote:36c/72 Puffer:
Code: Select all
x = 3, y = 4, rule = B34kjrn_S2-i3
o$2o$b2o$2o!
Really simple quadratic:
Code: Select all
x = 3, y = 14, rule = B34jknr/S2-i3
o$2o$b2o$2o7$2o$b2o$2o$o!
You guys sure this is high-period pattern
?
Puffers have their own definition of "period", which is different from oscillators.
Re: Rules with Abnormally Common High-Period Patterns
Posted: August 11th, 2016, 1:27 pm
by shouldsee
Bullet51 wrote:
Puffers have their own definition of "period", which is different from oscillators.
True
Re: Rules with Abnormally Common High-Period Patterns
Posted: August 11th, 2016, 6:16 pm
by drc
Have some:
Code: Select all
x = 45, y = 65, rule = B34c5y/S236c
obobo15b2o5b2o$obobo15bo6bo$ob3o$o3bo$o3bo$21bo6bo$20bobo4bobo2$20b3o
4b3o$21bo6bo3$20b2o6b2o$20b2o6b2o7$2b3o15bo5bo13b3o$obo17b2o3b2o14bo$o
b3o15bo5bo$obobo$ob3o$43bo$42b3o14$3obobo14bo$o3bobo13b2o$3ob3o14bo$2b
o3bo$3o3bo$21bo$20b2o$21bo13$3ob3o13b3o$o3bobo14b2o2bo$3ob3o18b2o$2bob
obo19b2o$3ob3o18b2o!
Re: Rules with Abnormally Common High-Period Patterns
Posted: August 12th, 2016, 4:15 am
by shouldsee
p78
Code: Select all
x = 4, y = 4, rule = B368/S3467
obo$4o$3o$b3o!
Re: Rules with Abnormally Common High-Period Patterns
Posted: August 17th, 2016, 5:16 am
by shouldsee
p48
Code: Select all
x = 5, y = 5, rule = B01234567/S346
o3bo$b3o$5o$b3o$bobo!
Re: Rules with Abnormally Common High-Period Patterns
Posted: August 23rd, 2016, 12:26 pm
by shouldsee
4-cell p126
Code: Select all
x = 2, y = 2, rule = B01356/S0123
2o$2o!
Re: Rules with Abnormally Common High-Period Patterns
Posted: August 23rd, 2016, 1:22 pm
by Rhombic
p20
Code: Select all
x = 5, y = 4, rule = B2n34qz/S2-i34q
ob3o$4bo$4o$2bo!
p30
Code: Select all
x = 10, y = 10, rule = B2n34qz/S2-i34q
o$4bo2bo$4b3obo$3bobobo$b2o3b2o$2b2o3b2o$2bobobo$bob3o$2bo2bo$9bo!
p156
Code: Select all
x = 22, y = 12, rule = B2n34qz/S2-i34q5a
$12b2o$12bobob2o$8b3o2bob2o2b2o$9b3ob5o2b2o$10bob5o2b2o$19bo$3bo$2b3o$
bo3bo$2b2obo$3b2o!
(1,1)c/68 spaceship!!
Code: Select all
x = 4, y = 5, rule = B2n34qz/S2-i34q6e
bo$obo$o$2b2o$3bo!
Re: Rules with Abnormally Common High-Period Patterns
Posted: August 23rd, 2016, 1:57 pm
by Bullet51
9c/23, along the lines:
Code: Select all
x = 37, y = 20, rule = B2n34qz7e_S2-i34q
8$23b3o$22bo3bo$22b2ob2o!
Adding B7c gives a little surprise:
Code: Select all
x = 4, y = 3, rule = B2n34qz7_S2-i34q
2bo$b3o$2obo!
(The surprise is on gen 2117.)
Re: Rules with Abnormally Common High-Period Patterns
Posted: August 24th, 2016, 6:17 am
by Rhombic
p76
Code: Select all
x = 7, y = 8, rule = B2-a3-n/S2-a3aik4ijz5cr6n
2$3bo$2b3o$b3o$2bo!
(1,1)c/12
Code: Select all
x = 6, y = 6, rule = B2en35cek6ci/S123cek4ci5cek6ci8
5bo$5bo$2bobo2$2bo$2o!
Re: Rules with Abnormally Common High-Period Patterns
Posted: August 24th, 2016, 1:03 pm
by AbhpzTa
p70 oscillator in B2en3/S25678, bounding box = 9*9
Code: Select all
x = 4, y = 4, rule = B2en3/S25678
o$b3o$b2o$bo!
Re: Rules with Abnormally Common High-Period Patterns
Posted: August 24th, 2016, 6:43 pm
by FlameandFury
P80:
Code: Select all
x = 10, y = 27, rule = B34qtw6/S245
2$3b4o$3b4o3$b8o$b8o$2b6o$2b2o2b2o$3bo2bo$4b2o$4b2o$4b2o$4b2o3$4b2o$4b
2o3$2o6b2o3$4b2o$4b2o!
P70 in related rule:
Code: Select all
x = 6, y = 9, rule = B34qt6/S2456c
2b2o$2b2o4$2b2o$b4o$b4o!
Re: Rules with Abnormally Common High-Period Patterns
Posted: August 25th, 2016, 2:05 pm
by Rocknlol
Here's an 8-cell c/144 ship:
Code: Select all
# [[ Z 16 STEP 5 TRACK 1/144 0 ]]
x = 3, y = 7, rule = B2i3-e4ijnrwyz5akqy6ac/S23-jqr4c5n8
bo$3o$bo2$2bo$2bo$2bo!
Re: Rules with Abnormally Common High-Period Patterns
Posted: August 26th, 2016, 12:49 pm
by Rhombic
16c/38
Code: Select all
x = 14, y = 3, rule = B3/S23-r6c
bobo7bo$2o2bo5b2obo$bobo7bo!
Most common spaceship in another rule is 4c/18:
Code: Select all
x = 4, y = 4, rule = B2-a3i/S23-cnq
bo$o2bo$bobo$2bo!
p20:
Code: Select all
x = 6, y = 8, rule = B2-a3i/S23-cnq
bo$2o2$2b2o$3bo2$4b2o$4bo!
Re: Rules with Abnormally Common High-Period Patterns
Posted: August 26th, 2016, 4:10 pm
by BlinkerSpawn
Rhombic wrote:16c/38
Code: Select all
x = 14, y = 3, rule = B3/S23-r6c
bobo7bo$2o2bo5b2obo$bobo7bo!
Rake:
Code: Select all
x = 15, y = 20, rule = B3/S23-r6c
bobo7bo$2o2bo5b2obo$bobo7bo15$2bobo7bo$b2o2bo5b2obo$2bobo7bo!
Re: Rules with Abnormally Common High-Period Patterns
Posted: August 27th, 2016, 8:50 pm
by FlameandFury
2/25c diagonal spaceship:
Code: Select all
x = 4, y = 4, rule = B2-ac3aceik/S24-a56-c8
2b2o$3bo$obo$2o!
Re: Rules with Abnormally Common High-Period Patterns
Posted: September 1st, 2016, 11:37 am
by Rhombic
6c/33
Code: Select all
x = 3, y = 3, rule = B2-a35n7c/S1c2a7e
obo$3o$bo!
Re: Rules with Abnormally Common High-Period Patterns
Posted: September 1st, 2016, 11:43 am
by _zM
Not that common, but still a very small p24.
Code: Select all
x = 5, y = 5, rule = B2c3-i/S1c23
b2o$o2bo$b2obo$bo2bo$3bo!
Note that the rotor only contains 7 cells
Re: Rules with Abnormally Common High-Period Patterns
Posted: September 1st, 2016, 5:53 pm
by FlameandFury
This monstrosity I found by hand 0.o
Code: Select all
x = 8, y = 13, rule = B2cei3acei/S23
$b2o$b2o3$2b2o3bo$bo2bo2bo$2b2o3bo3$b2o$b2o!
Re: Rules with Abnormally Common High-Period Patterns
Posted: September 1st, 2016, 7:25 pm
by BlinkerSpawn
p62 Gun:
Code: Select all
x = 26, y = 24, rule = B2cei3acei/S23
5bo$4bobo$4bobo$3bo3bo$4bobo$4bobo$5bo2$2o7b2o$2o7b2o4$21b2o$21bo$15bo
bo5bo$22bo$21bo2bo$14bobobo2b2o2bo$21bo2bo$22bo$15bobo5bo$21bo$21b2o!