User:Snacked/DiPiWiki/Di-Pi: Difference between revisions

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|b              = 3-e5n
|b              = 3-e5n
|s              = 2-cn3-y4i
|s              = 2-cn3-y4i
|ruleinteger    = ARYTfhZIfuwWaDboaJCggBZJeuhJAOiAaID4gIBAgAAWaDbgaILogGiASICAAICAaIDqgIAIgACAIIAAIAAAAA==
|ruleinteger    = No consensus on non-totalistic rule integers
|reversal        = B0123e45-n678/S012cn3y4-i5678
|reversal        = B0123e45-n678/S012cn3y4-i5678
}}
}}
'''Di-Pi''' is an [[Isotropic_non-totalistic_rule|isotropic non-totalistic]] rule, named for a very common 3c/14 spaceship:
'''Di-Pi''' is an [[Isotropic_non-totalistic_rule|isotropic non-totalistic]] rule, created by forum user get_Snacked on August 26th, 2023. It differs from [[Conway's Game of Life]] by six transitions. It is mainly of note for its interesting behavior related to the [[Pi-heptomino]], there being common natural [[Spaceship|spaceships]] built from them.
 
==Patterns==
Di-Pi varies quite a lot from Life, notably the lack of the S2c transition causes [[Beehive|beehives]] to die, and indeed any diagonally-connected pattern. The [[Traffic_light|Traffic Light]] is less (but still fairly) common, as the T-tetromino dies in five generations. Also, the B5n transition causes gliders to die, making engineering significantly harder.
 
The Pi-Heptomino in this rule is a failed [[Replicator|replicator]], duplicating itself in 7 generations, rotated and flipped. This happens again, but fails to happen a third time due to the pi-heptominoes colliding.
{|style="margin-left:auto;margin-right:auto;"
|{{EmbedViewer
|rle = x = 3, y = 3, rule = B3-e5n/S2-cn3-y4i
3o$obo$obo!
|position = left
|caption = The Pi
}}
|{{EmbedViewer
|rle = x = 7, y = 3, rule = B3-e5n/S2-cn3-y4i
3ob3o$o5bo$3ob3o!
|position = left
|caption = Generation 7 of a Pi
}}
|}
 
 
Another common constellation (named the Fourpi) evolves into two copies of a common 3c/14 diagonal spaceship, called the Di-Pi (the spaceship the rule is named after). The Di-Pi is extensible, and is based off a reaction where two pi-heptominoes bounce off of each other, with the corners stabilized by a pi-[[Block|block]] reaction. <br>
 
{{EmbedViewer
|rle = x = 4, y = 4, rule = B3-e5n/S2-cn3-y4i
3o$o2bo$o2bo$b3o!
|position = center
|caption = The Fourpi
}}
{{EmbedViewer
{{EmbedViewer
|rle         = x = 13, y = 13, rule = B3-e5n/S2-cn3-y4i
|rle = x = 13, y = 13, rule = B3-e5n/S2-cn3-y4i
5b3o$5bobo3b2o$5bobo3b2o3$3o$o$3o4$b2o$b2o!
5b3o$2o3bobo$2o3bobo3$10b3o$12bo$10b3o4$10b2o$10b2o!
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 3 ZOOM 12 GPS 4 TRACKLOOP 14 -3/14 -3/14 ]]
|position = center
|position    = left
|caption = The Di-Pi
|caption      = The Di-Pi
|viewerconfig = #C [[ AUTOSTART HEIGHT 500 THUMBSIZE 3 ZOOM 20 GPS 5 TRACKLOOP 14 3/14 -3/14 ]]
|style        = width:300px;
}}
}}

Latest revision as of 04:05, 1 September 2023

Di-Pi
x=64, y = 64, rule = B3-e5n/S2-cn3-y4i ! #C [[ THEME Inverse ]] #C [[ RANDOMIZE2 THUMBLAUNCH THUMBNAIL THUMBSIZE 2 GRID ZOOM 6 WIDTH 600 HEIGHT 600 LABEL 90 -20 2 "#G" AUTOSTART PAUSE 2 GPS 8 LOOP 256 ]]
LifeViewer-generated pseudorandom soup
Rulestring 2-cn3-y4i/3-e5n
B3-e5n/S2-cn3-y4i
Rule integer No consensus on non-totalistic rule integers
Character Somewhat explosive
Black/white reversal B0123e45-n678/S012cn3y4-i5678

Di-Pi is an isotropic non-totalistic rule, created by forum user get_Snacked on August 26th, 2023. It differs from Conway's Game of Life by six transitions. It is mainly of note for its interesting behavior related to the Pi-heptomino, there being common natural spaceships built from them.

Patterns

Di-Pi varies quite a lot from Life, notably the lack of the S2c transition causes beehives to die, and indeed any diagonally-connected pattern. The Traffic Light is less (but still fairly) common, as the T-tetromino dies in five generations. Also, the B5n transition causes gliders to die, making engineering significantly harder.

The Pi-Heptomino in this rule is a failed replicator, duplicating itself in 7 generations, rotated and flipped. This happens again, but fails to happen a third time due to the pi-heptominoes colliding.

x = 3, y = 3, rule = B3-e5n/S2-cn3-y4i 3o$obo$obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
The Pi
(click above to open LifeViewer)
x = 7, y = 3, rule = B3-e5n/S2-cn3-y4i 3ob3o$o5bo$3ob3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
Generation 7 of a Pi
(click above to open LifeViewer)


Another common constellation (named the Fourpi) evolves into two copies of a common 3c/14 diagonal spaceship, called the Di-Pi (the spaceship the rule is named after). The Di-Pi is extensible, and is based off a reaction where two pi-heptominoes bounce off of each other, with the corners stabilized by a pi-block reaction.

x = 4, y = 4, rule = B3-e5n/S2-cn3-y4i 3o$o2bo$o2bo$b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
The Fourpi
(click above to open LifeViewer)
x = 13, y = 13, rule = B3-e5n/S2-cn3-y4i 5b3o$2o3bobo$2o3bobo3$10b3o$12bo$10b3o4$10b2o$10b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART HEIGHT 500 THUMBSIZE 3 ZOOM 20 GPS 5 TRACKLOOP 14 3/14 -3/14 ]]
The Di-Pi
(click above to open LifeViewer)
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