## B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67

For discussion of other cellular automata.
Apple Bottom
Posts: 1027
Joined: July 27th, 2015, 2:06 pm
Contact:

### B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67

toroidalet suggested that this rule should get its own thread.

This rule, first proposed by Aidan F. Pierce (A for awesome), has a very cool family of c/(2n+1) spaceships, related to and complementing the c/2n ships that AbhpzTa previously reported in B2c3ae4ai56c/S2-kn3-enq4:
A for awesome wrote:All speeds of the form c/(2n+1), n > 3:

Code: Select all

x = 9, y = 31, rule = B2c3aj4nrt5i6c78/S1c23enr4aet5-iq67
o3bo$4o$o3bo5$o4bo$5o$o4bo5$o5bo$6o$o5bo5$o6bo$7o$o6bo5$o7bo$8o$o7bo!

Now every c/n orthogonal speed is known to exist at the minimal period in a 2-state isotropic rule in the range-1 Moore neighborhood.
So far, all the ships from this up to period 31 have shown up on Catagolue, as well as the period-59 ship -- a remarkable outlier. muzikbike has searched C1, while I have focussed on D2_+1.

There's more interesting stuff on Catagolue beyond the ships, too.
If you speak, your speech must be better than your silence would have been. — Arabian proverb

Catagolue: Apple Bottom • Life Wiki: Apple Bottom • Twitter: @_AppleBottom_

Proud member of the Pattern Raiders!

muzik
Posts: 3500
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67

Don't forget the systematic c/5:

Code: Select all

x = 7, y = 17, rule = B2c3aj4nrt5i6c78_S1c23enr4aet5-iq67
ob2o$2o2bo$ob2o5$o2b2o$3o2bo$o2b2o5$o3b2o$4o2bo$o3b2o!

Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

### Re: B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67

Why is this even in PATHOLOGICAL

Code: Select all

x = 16, y = 31, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67
boboboooobobobbo$obbbobobbobboooo$
obbobobobbooobbo$bbbbbbbobooboboo$
bbbbooooobbboobo$obbobbobbooboobb$
boobbobobbbooobb$oobooobobbbobooo$
oboooboboooooobo$oobbboooobbobbob$
boooboobbbobboob$bobbobobbbbboobb$
obbobbboboboooob$boobboboobobobbb$
bobooobbooboobbo$ooooooobbbboobbo$
bobooobbooboobbo$boobboboobobobbb$
obbobbboboboooob$bobbobobbbbboobb$
boooboobbbobboob$oobbboooobbobbob$
oboooboboooooobo$oobooobobbbobooo$
boobbobobbbooobb$obbobbobbooboobb$
bbbbooooobbboobo$bbbbbbbobooboboo$
obbobobobbooobbo$obbbobobbobboooo$
boboboooobobobbo!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
o$o2b5o6bobo$bobo4bo6bo2$2bo$3bo3$3bo$2bo2$bobo4bo8bo$o2b5o8bobo$bobo 4bo8bo2$2bo$3bo!  Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace! BlinkerSpawn Posts: 1906 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 A for awesome wrote: muzik wrote:I think I recall it being sqrt(t) growth I believe it is. Let L be the length of the stretcher. The stretcher only grows once the signal travels its entire length. Since the signal travels at constant speed, the rate at which the stretcher grows is proportional to 1/L. dL/dt = k/L L dL = k dt (1/2)L^2 = k t L = sqrt(2k t) Q.E.D LifeWiki: Like Wikipedia but with more spaceships. [citation needed] muzik Posts: 3500 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 All speeds known from soups: Code: Select all x = 16, y = 31, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 bbbbbooboboooooo$
obbbobbobboboboo$booobobooobbobbo$
boooobbbbboobobb$obbobobobobooooo$
boobbobobobbobbo$oobbboooobobbooo$
bbbobobbbboooooo$obbbbbboboobbbob$
bbboobbbobbobobo$bobbbbbbooooobbo$
oooboobbbboobboo$oobboboobbobbobb$
bbbooboboooooobb$bbbobbbbbobbbboo$
booobbobbooooooo$bbbobbbbbobbbboo$
bbbooboboooooobb$oobboboobbobbobb$
oooboobbbboobboo$bobbbbbbooooobbo$
bbboobbbobbobobo$obbbbbboboobbbob$
bbbobobbbboooooo$oobbboooobobbooo$
boobbobobobbobbo$obbobobobobooooo$
boooobbbbboobobb$booobobooobbobbo$
obbbobbobboboboo$bbbbbooboboooooo! Code: Select all x = 16, y = 31, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 bboboooboobbbbob$
bobooobbboobobbb$obbbobbbbobbooob$
bboobobobboobboo$obbbbobbbbbboobo$
bbbbobbboboboboo$ooboobbboboooboo$
bbooobboboboobbb$bbbbobboobooobbo$
booobooooooooobb$bbbbobbbooooobbo$
obobbbbbbbbbbbob$bobbobbbbooboboo$
oooboboooboobbbo$obooobboobboobob$
boobboboobbobobb$obooobboobboobob$
oooboboooboobbbo$bobbobbbbooboboo$
obobbbbbbbbbbbob$bbbbobbbooooobbo$
booobooooooooobb$bbbbobboobooobbo$
bbooobboboboobbb$ooboobbboboooboo$
bbbbobbboboboboo$obbbbobbbbbboobo$
bboobobobboobboo$obbbobbbbobbooob$
bobooobbboobobbb$bboboooboobbbbob! Code: Select all x = 16, y = 31, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 boobobooobooooob$
boobboboobbobbob$bboooboobbbobobo$
bboooobbbbbboobo$oobobboboooboobo$
oooobobobbbbobbb$oboooobbooobobbo$
bbooobooobobbboo$booooobobbbobbbb$
boobbbobboobbboo$ooooboobbbbbooob$
obbboooooboboooo$booooobbbooobooo$
bbbboobbboboooob$bbbobooooobbbooo$
bbbobobobobboobb$bbbobooooobbbooo$
bbbboobbboboooob$booooobbbooobooo$
obbboooooboboooo$ooooboobbbbbooob$
boobbbobboobbboo$booooobobbbobbbb$
bbooobooobobbboo$oboooobbooobobbo$
oooobobobbbbobbb$oobobboboooboobo$
bboooobbbbbboobo$bboooboobbbobobo$
boobboboobbobbob$boobobooobooooob! Code: Select all x = 16, y = 31, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 bbbbboobbooboboo$
bbobobbbbboboooo$oboooooobobbobbo$
booooboobbbobobb$oooooboobobbbobb$
oobbbobbboobbooo$bbooobbobooboobb$
obbobbbbobbbobob$ooobooobbbbboobb$
obobbbboooobooob$oboooobobboobobb$
bobobboobbobobob$bbboobbbbobbobob$
obboooobboooobbo$obbbboobobooobbb$
bobooboboobboboo$obbbboobobooobbb$
obboooobboooobbo$bbboobbbbobbobob$
bobobboobbobobob$oboooobobboobobb$
obobbbboooobooob$ooobooobbbbboobb$
obbobbbbobbbobob$bbooobbobooboobb$
oobbbobbboobbooo$oooooboobobbbobb$
booooboobbbobobb$oboooooobobbobbo$
bbobobbbbboboooo$bbbbboobbooboboo! Code: Select all x = 16, y = 31, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 bobbobbobboooobb$
ooboobbooooobbbb$boobooooooobobbb$
bbobbobbbooobbbb$bobobbbbbbboooob$
oooobbbbbbobboob$ooobobooooooobbo$
obooooobboboobbo$oobbbbbooooobobb$
obbbbbbobbbobboo$obboobbooooobooo$
oobobboboboobooo$oobooobobboobooo$
obboobbbobbooobb$bbboooobboobobbo$
boobobbobboooboo$bbboooobboobobbo$
obboobbbobbooobb$oobooobobboobooo$
oobobboboboobooo$obboobbooooobooo$
obbbbbbobbbobboo$oobbbbbooooobobb$
obooooobboboobbo$ooobobooooooobbo$
oooobbbbbbobboob$bobobbbbbbboooob$
bbobbobbbooobbbb$boobooooooobobbb$
ooboobbooooobbbb$bobbobbobboooobb! Code: Select all x = 16, y = 31, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 boobbbooooobbobb$
oobbboobbbbbobob$boobbboobooboobb$
oooooobooboobobo$bbbbbboobooooooo$
oooooboboooooobb$ooobbobbbbobbobo$
bobooobbboboobbo$bobbobobboobbbbb$
booobooobbooobbo$obbbbobbbbbobbbo$
boboobobobbobbbb$bobbooobbooboobb$
booooooboobooobb$obbbooobbobooooo$
oobbbobbooboobob$obbbooobbobooooo$
booooooboobooobb$bobbooobbooboobb$
boboobobobbobbbb$obbbbobbbbbobbbo$
booobooobbooobbo$bobbobobboobbbbb$
bobooobbboboobbo$ooobbobbbbobbobo$
oooooboboooooobb$bbbbbboobooooooo$
oooooobooboobobo$boobbboobooboobb$
oobbboobbbbbobob$boobbbooooobbobb! Code: Select all x = 16, y = 31, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 oobobbobbbboooob$
bbobbooobbobboob$oooobbbbbbbobobb$
obbooobobbbbbooo$oboooobooobbbooo$
bbboooobobbobbbo$bbobbbobbboboboo$
ooobbbbbobbobobb$boooobobbboobbob$
bbobbbbbbooobbbo$obbooboooboobbbo$
ooobbbbobboboobo$oboboobbooobbbbo$
ooobobbooobooobo$bboobbobboooooob$
obbbobbobbbobooo$bboobbobboooooob$
ooobobbooobooobo$oboboobbooobbbbo$
ooobbbbobboboobo$obbooboooboobbbo$
bbobbbbbbooobbbo$boooobobbboobbob$
ooobbbbbobbobobb$bbobbbobbboboboo$
bbboooobobbobbbo$oboooobooobbbooo$
obbooobobbbbbooo$oooobbbbbbbobobb$
bbobbooobbobboob$oobobbobbbboooob! Code: Select all x = 16, y = 31, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 bbbbbbbobobbooob$
oobboooooboooobb$obboobbboboboooo$
bobobbbboobobooo$bobooooboboobbob$
bobbbobobbobobob$oobbbooboobbboob$
bbboobbbbobooboo$obboobbobobbobbo$
booooobbobooobob$obobbooobbbooobb$
bbbbobbobobooobo$booobbooboobbboo$
oboooboobbobboob$bbboboobbbbobbbb$
obbbbboboooboboo$bbboboobbbbobbbb$
oboooboobbobboob$booobbooboobbboo$
bbbbobbobobooobo$obobbooobbbooobb$
booooobbobooobob$obboobbobobbobbo$
bbboobbbbobooboo$oobbbooboobbboob$
bobbbobobbobobob$bobooooboboobbob$
bobobbbboobobooo$obboobbboboboooo$
oobboooooboooobb$bbbbbbbobobbooob! Code: Select all x = 16, y = 31, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 boboobbbbbobbbbo$
oooooobbbooboobb$ooboooooobbbooob$
bbobobbobbobobbo$bbbbbbooooooobbb$
obbbbbobboboobbb$bobobbobooobobbb$
bobobobboobbooob$oobbbbooobbboboo$
obobobobooooobob$bobbboooobbbobbb$
bbbobbbobobbbbbb$bobbooobbooobbbo$
obboboooooobooob$oboooobobobbbooo$
bboobobboooboobb$oboooobobobbbooo$
obboboooooobooob$bobbooobbooobbbo$
bbbobbbobobbbbbb$bobbboooobbbobbb$
obobobobooooobob$oobbbbooobbboboo$
bobobobboobbooob$bobobbobooobobbb$
obbbbbobboboobbb$bbbbbbooooooobbb$
bbobobbobbobobbo$ooboooooobbbooob$
oooooobbbooboobb$boboobbbbbobbbbo! Code: Select all x = 16, y = 31, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 obobbboboboooobb$
oooboobobboobobb$obobbbbboobbboob$
bbooobbobooboooo$oooboobbbobbbbbb$
obbooboobbooooob$bobbobooboboobbb$
bbooobobbooobbbo$bbobbbobbbboooob$
oooooboooboobbbo$bbobobobboooooob$
boobboobbobbobbb$bobboobooobobooo$
oobbboboobboobbb$obbobboobboooooo$
boboobooooobbboo$obbobboobboooooo$
oobbboboobboobbb$bobboobooobobooo$
boobboobbobbobbb$bbobobobboooooob$
oooooboooboobbbo$bbobbbobbbboooob$
bbooobobbooobbbo$bobbobooboboobbb$
obbooboobbooooob$oooboobbbobbbbbb$
bbooobbobooboooo$obobbbbboobbboob$
oooboobobboobobb$obobbboboboooobb! Code: Select all x = 16, y = 31, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 obobooobobbooobb$
bobboboooooboobb$bobbboboobobbooo$
bbobbbbooooboboo$bbobbbbbbooooobb$
oooooboobboboobb$obbbobooobbbbbbo$
obooobobbbboobbb$obooboboooboobbo$
bbbooboobobbbbbb$ooobbobbobbboobb$
oobbbbobooobboob$oooboobboboobobb$
bobbbobobobbbbob$obbbobbooooooobb$
booooooobboobbob$obbbobbooooooobb$
bobbbobobobbbbob$oooboobboboobobb$
oobbbbobooobboob$ooobbobbobbboobb$
bbbooboobobbbbbb$obooboboooboobbo$
obooobobbbboobbb$obbbobooobbbbbbo$
oooooboobboboobb$bbobbbbbbooooobb$
bbobbbbooooboboo$bobbboboobobbooo$
bobboboooooboobb$obobooobobbooobb! Code: Select all x = 16, y = 31, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 bobbobbobobooooo$
bbboobooobboobbo$booooobbobooobbb$
bbooooooobbooooo$bbbboobooboobobo$
boooooboboooboob$oobbbboooobobobo$
boobbbbbobbboooo$bbooobboobooboob$
oboobbboobobboob$bbbbobooobooobbo$
obooobbbbboobooo$bboobbbbobbbbooo$
bbbboobbooobobbo$bbbobbobbobooooo$
boobbbbobobboobo$bbbobbobbobooooo$
bbbboobbooobobbo$bboobbbbobbbbooo$
obooobbbbboobooo$bbbbobooobooobbo$
oboobbboobobboob$bbooobboobooboob$
boobbbbbobbboooo$oobbbboooobobobo$
boooooboboooboob$bbbboobooboobobo$
bbooooooobbooooo$booooobbobooobbb$
bbboobooobboobbo$bobbobbobobooooo! Code: Select all x = 16, y = 31, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 bbooboobboboobbb$
bbbobbobbobbobbb$obbobbboooobooob$
bobbbbbbobbbobob$bbbboobboooooooo$
obobbbboobobbobo$booooooooobobbob$
bbboobobboobbooo$bbooboobbboobooo$
obobbooobbbbbboo$bbboooobobboobbo$
booobbbbbbbbooob$obbbbooobobbbbob$
bbobbooobooooobb$boobbboboobobooo$
bboooooboooobobo$boobbboboobobooo$
bbobbooobooooobb$obbbbooobobbbbob$
booobbbbbbbbooob$bbboooobobboobbo$
obobbooobbbbbboo$bbooboobbboobooo$
bbboobobboobbooo$booooooooobobbob$
obobbbboobobbobo$bbbboobboooooooo$
bobbbbbbobbbobob$obbobbboooobooob$
bbbobbobbobbobbb$bbooboobboboobbb! Code: Select all x = 16, y = 31, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 obbobbbbbobbbbbo$
bbobbobobobbbobb$oobobboooobbobbo$
obobooooboobobbb$obbobbbooboboobb$
oobbbbooobobbobo$booooooooboobbbo$
bbobbooooobobbob$bboooboooobooooo$
bbooobobooboobob$bboobboobobobbob$
bbooobbbobbobooo$oooobobbbbbbbooo$
bbbbobobbbbbbbob$bbooooobbbbobboo$
ooobobbobbboobbo$bbooooobbbbobboo$
bbbbobobbbbbbbob$oooobobbbbbbbooo$
bbooobbbobbobooo$bboobboobobobbob$
bbooobobooboobob$bboooboooobooooo$
bbobbooooobobbob$booooooooboobbbo$
oobbbbooobobbobo$obbobbbooboboobb$
obobooooboobobbb$oobobboooobbobbo$
bbobbobobobbbobb$obbobbbbbobbbbbo! Code: Select all x = 16, y = 31, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 boobboobbobobooo$
bobobbbobbbbobbo$bbobbboobobbbbbb$
booobooboooooobb$obobbobbbbbbbooo$
obobobbooobobobo$bbbboboboobbbobo$
bbboobboooooooob$oobbbbboboooboob$
booooobbobobobbo$obobobooooooobbo$
oobbooobbbobbooo$obobooooboobbbob$
obobbobbbobobbbb$oooobboobobbbobo$
obbobooboooooooo$oooobboobobbbobo$
obobbobbbobobbbb$obobooooboobbbob$
oobbooobbbobbooo$obobobooooooobbo$
booooobbobobobbo$oobbbbboboooboob$
bbboobboooooooob$bbbboboboobbbobo$
obobobbooobobobo$obobbobbbbbbbooo$
booobooboooooobb$bbobbboobobbbbbb$
bobobbbobbbbobbo$boobboobbobobooo! Code: Select all x = 16, y = 31, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 ooobobbobobbbbbb$
obobbobobbbobboo$bbooooooobbbooob$
bobbooobbbbobobb$oboooboooboboooo$
oobbbooobobboobo$obobboobbbboobbb$
bbobooboboooobbo$oooobobbbboooobb$
bobooobobboooobo$obobbobboboboobb$
bbbobbbbbbobbbbo$obbobobobboboobb$
booobboooobboboo$bbbbbooooooboobo$
boobbbooobbboboo$bbbbbooooooboobo$
booobboooobboboo$obbobobobboboobb$
bbbobbbbbbobbbbo$obobbobboboboobb$
bobooobobboooobo$oooobobbbboooobb$
bbobooboboooobbo$obobboobbbboobbb$
oobbbooobobboobo$oboooboooboboooo$
bobbooobbbbobobb$bbooooooobbbooob$
obobbobobbbobboo$ooobobbobobbbbbb! Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace! muzik Posts: 3500 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 It appears that the extendable period thing gives the following periods: 25, 51, 85, 127, 177, 235, 301, 375, 457 Searching these on the OEIS brings up no results, so can anyone tell me what's going on exactly? Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace! toroidalet Posts: 1019 Joined: August 7th, 2016, 1:48 pm Location: my computer Contact: ### Re: B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 muzik wrote:It appears that the extendable period thing gives the following periods, [...] can anyone tell me what's going on exactly? The oscillation consists of 2 parts. Part 1: The head goes forward as a sqrt(t) and after x^2 generations, where x is the gap between the head, it takes a linear function of x to move back. The resulting period is therefore quadratic. If you're not sure, here's a proof that the growth is quadratic (over this short span) It is a theorem that when consecutive terms in a quadratic sequence are subtracted, the differences form an arithmetic sequence. The sequence of differences is: Code: Select all 26, 34, 42, 50, 58, 66, 74 , and so on. This sequence is y=8x+26. That's why the period growth is quadratic I'm pretty sure the formula is 3x^2+11x-9, starting with x=2 for the p25. The formula was derived algebraically from the data, after the period growth was determined. (I would like a proof that it actually is quadratic, not just that the empirical data happens to suggest the quadratic result.) (more specifically, x refers to the amount of extensions from this phase until it interacts with the tub). Code: Select all x = 15, y = 9, rule = B2c3aj4nrt5i6c78/S1c23enr4aet5-iq67 3bo$2bo2$bobo2b2o5bo$o2b3o2bo3bobo$bobo2b2o5bo2$2bo$3bo!  Also, you *really* didn't need to post soups for *all* the natural ship speeds. "Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life." -Terry Pratchett muzik Posts: 3500 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 New natural c/47: Code: Select all x = 16, y = 31, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 obobobboobbboboo$
boobbbboooobbbbo$bbbbbooboooboobo$
bboboooboboobobo$oobooobbooobbobb$
obbooboobbbobobb$booobobbboboobob$
booboooobbobbbbo$ooobbbboooobbbbo$
oobobbobobbobbbo$oobobobbobooobbo$
bobbbobooboobbob$oboooobbobboboob$
ooooobbobbobbobo$oboboobbbobboobo$
oobobbbbobbbboob$oboboobbbobboobo$
ooooobbobbobbobo$oboooobbobboboob$
bobbbobooboobbob$oobobobbobooobbo$
oobobbobobbobbbo$ooobbbboooobbbbo$
booboooobbobbbbo$booobobbboboobob$
obbooboobbbobobb$oobooobbooobbobb$
bboboooboboobobo$bbbbbooboooboobo$
boobbbboooobbbbo$obobobboobbboboo! Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace! muzik Posts: 3500 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 yl24: Code: Select all x = 16, y = 31, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 obobbobboooobooo$
obobbooboooobobo$bbbbbbbooboobbbo$
oooooobobobooobb$obobbobboobbbbbb$
boooboobboobboob$bboobbbbbobooobo$
oooooobooobbbbbo$boobbooobbobboob$
oboboobbbobooobb$bboboobobobbbboo$
booobobbbooobobo$bobbbobbobbobboo$
oboobbbobbbbboob$boooboobbooobbbo$
boboooobobooboob$boooboobbooobbbo$
oboobbbobbbbboob$bobbbobbobbobboo$
booobobbbooobobo$bboboobobobbbboo$
oboboobbbobooobb$boobbooobbobboob$
oooooobooobbbbbo$bboobbbbbobooobo$
boooboobboobboob$obobbobboobbbbbb$
oooooobobobooobb$bbbbbbbooboobbbo$
obobbooboooobobo$obobbobboooobooo! Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace! Apple Bottom Posts: 1027 Joined: July 27th, 2015, 2:06 pm Contact: ### Re: B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 muzik wrote:New natural c/47: Not new as such, it's part of the same known family... muzik wrote:yl24: ...and this is just a double-ended variant of the common yl8 where the middle part connecting the two halves is oscillating at period 12. If you speak, your speech must be better than your silence would have been. — Arabian proverb Catagolue: Apple Bottom • Life Wiki: Apple Bottom • Twitter: @_AppleBottom_ Proud member of the Pattern Raiders! muzik Posts: 3500 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 c/41: Code: Select all x = 16, y = 31, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 bboobbbbbbobobbb$
oobbbbobobbobobo$boooooboooobbbob$
obbbobbooobbobob$ooobbbbobbobbbbb$
boboobobbbbobooo$oobbbooboobbbbbo$
oboboobobooboobb$obobobbbobbbbbbb$
booobobboboooobb$bbbboooobbobbbbo$
oooobobooobboboo$obbobboobboooboo$
oobooobbbbboooob$bbobobooboobooob$
ooobbobbbooboobb$bbobobooboobooob$
oobooobbbbboooob$obbobboobboooboo$
oooobobooobboboo$bbbboooobbobbbbo$
booobobboboooobb$obobobbbobbbbbbb$
oboboobobooboobb$oobbbooboobbbbbo$
boboobobbbbobooo$ooobbbbobbobbbbb$
obbbobbooobbobob$boooooboooobbbob$
oobbbbobobbobobo$bboobbbbbbobobbb! Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace! muzik Posts: 3500 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 Another c/59 has appeared: Code: Select all x = 16, y = 67, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 3obo2bobo$obo2bobo3bo2b2o$2b7o3b3o$bo2b3o4bobo$ob3ob3obob4o$2o3b3obo2b
2obo$obo2b2o4b2o$2bob2obob4o2bo$4obo4b4o$bob3obo2b4obo$obo2bo2bobob2o$
3bo6bo4bo$o2bobobo2bob2o$b3o2b4o2bob2o$5b6ob2obo$b2o3b3o3bob2o$5b6ob2o bo$b3o2b4o2bob2o$o2bobobo2bob2o$3bo6bo4bo$obo2bo2bobob2o$bob3obo2b4obo
$4obo4b4o$2bob2obob4o2bo$obo2b2o4b2o$2o3b3obo2b2obo$ob3ob3obob4o$bo2b
3o4bobo$2b7o3b3o$obo2bobo3bo2b2o$3obo2bobo6$o4bobo2b2obo$o2bobo4bo4bo$
3obobo2b2o2bobo$bo2bo2bobo2b3o$6obobobo$4b6obob3o$o7b2ob3obo$ob5o2bob 5o$2ob5obo3b3o$3bo3bobob3o$2bobob2obob3obo$b3o3b3o2b3o$2obo2b2ob2obo$2b6o2bo2b3o$2o2b2o2bo2b4o$ob5o2bo2b2obo$2o2b2o2bo2b4o$2b6o2bo2b3o$2obo
2b2ob2obo$b3o3b3o2b3o$2bobob2obob3obo$3bo3bobob3o$2ob5obo3b3o$ob5o2bob 5o$o7b2ob3obo$4b6obob3o$6obobobo$bo2bo2bobo2b3o$3obobo2b2o2bobo$o2bobo 4bo4bo$o4bobo2b2obo!

Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!