B3-c/S234i: Pi extension

For discussion of other cellular automata.
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Quantum-mechanics
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B3-c/S234i: Pi extension

Post by Quantum-mechanics »

This is a cellular automaton, named for the evolution of its Pi. :mrgreen:
The Pi-heptomino:

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x = 3, y = 3, rule = B3-c/S234i:P0,3
3o$o$3o!
Some puffer:

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 x = 93, y = 16, rule = B3-c/S234i
2bo5bo$b3o3b3o$2ob2ob2ob2o2$2bo5bo3$82b3o4b3o$2bobobobo72bo2bo4bo2bo$
2b3ob3o72b2obo4bob2o$3bo3bo2$34b3ob3o$34bobobobo$36bobo$35b2ob2o!
Infinitely growing traffic light predecessor.

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x = -17, y = 3, rule = B3-c/S234i:P0,3
3o$obo$3o!
Last edited by Quantum-mechanics on November 10th, 2023, 11:45 pm, edited 6 times in total.
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hotcrystal0
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Re: B3-c/S234i: Pi extension

Post by hotcrystal0 »

Don't make a new thread for every new rule you find. Post them in Miscellaneous Discoveries instead.
There's a lot you can do by just reassembling known components.
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x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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confocaloid
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Re: B3-c/S234i: Pi extension

Post by confocaloid »

Quantum-mechanics wrote: October 29th, 2023, 8:05 am This is a Life-like cellular automaton, named for the evolution of its Pi.
This is not a Life-like cellular automaton, because it is not outer-totalistic.
Instead, this is an isotropic non-totalistic cellular automaton with Moore neighbourhood and with two cellstates (dead and alive).

Soups consistently explode, which means apgsearch will not work for this CA.

By manually running soups in Golly I noticed this 2c/36 orthogonal spaceship, probably already known:

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x = 5, y = 5, rule = B3-c/S234i
bo$4o$bo2bo$2b2o$2b2o!
#C [[ ZOOM 24 TRACKLOOP 36 0/36 2/36 ]]
Last edited by confocaloid on May 2nd, 2025, 6:33 pm, edited 1 time in total.
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
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TYCF
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Re: B3-c/S234i: Pi extension

Post by TYCF »

Probably already known c/2 spaceship.

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x = 5, y = 4, rule = B3-c/S234i
2ob2o$bobo$b3o$2bo!

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#C I am inactive currently.
x = 5, y = 3, rule = B3/S23
obobo$2ob2o$obobo!

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x = 5, y = 4, rule = B35/S234i8
2bo$bobo$2ob2o$5o!
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Period1GliderGun
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Re: B3-c/S234i: Pi extension

Post by Period1GliderGun »

From a similar rule on Catagolue, two distinct 2c/12o spaceships:

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x = 9, y = 13, rule = B3-c/S234i
bobo2b2o$2b2obo2bo$2b2o2b2o7$4bo$2obobo$3b3o$3b2o!
Currently on another planet.

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x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
Quantum-mechanics
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Joined: September 17th, 2023, 4:38 am

Re: B3-c/S234i: Pi extension

Post by Quantum-mechanics »

A rule name it Pi extension xva glider world.
Rulestring is B2e3-ejc/S1c23-cnq4i.

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x = 3, y = 3, rule = B2e3-cej/S1c23-cnq4i
o$2bo$3o!
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