User:Snacked/DiPiWiki/Di-Pi
| Di-Pi | |
| Rulestring | 2-cn3-y4i/3-e5n B3-e5n/S2-cn3-y4i |
|---|---|
| Rule integer | ARYTfhZIfuwWaDboaJCggBZJeuhJAOiAaID4gIBAgAAWaDbgaILogGiASICAAICAaIDqgIAIgACAIIAAIAAAAA== |
| 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.
The Pi (click above to open LifeViewer) |
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.
| The Fourpi (click above to open LifeViewer) |
| The Di-Pi (click above to open LifeViewer) |