Pi-heptomino
Pi-heptomino (or pi; sometimes called blasting cap at MIT after its shape at generation 1[1]) is a common heptomino that stabilizes at generation 173, leaving behind six blocks, five blinkers and two ponds. The name "pi" is also applied to some slight variations of this object that follow that same evolutionary sequence – in a pi ship, for example, the pi-heptomino itself never actually arises. Forms that are synonymous with the pi-heptomino are displayed below.
Pi-heptomino | |||||||
| |||||||
View static image | |||||||
Pattern type | Methuselah | ||||||
---|---|---|---|---|---|---|---|
Number of cells | 7 | ||||||
Bounding box | 3×3 | ||||||
MCPS | 7 | ||||||
Lifespan | 173 generations | ||||||
Final population | 55 | ||||||
L/I | 24.7 | ||||||
F/I | 7.9 | ||||||
F/L | 0.318 | ||||||
L/MCPS | 24.7 | ||||||
Discovered by | John Conway | ||||||
Year of discovery | 1970 | ||||||
| |||||||
|
In April 1992, Bill Gosper discovered that two blocks can be used to eat a pi, as shown below. The eating reaction takes 65 generations to complete. Gosper also discovered in the same month that a pi, along with two blocks and two blinkers, can be used to create a queen bee shuttle.
Image gallery
![]() Generation 1 of pi-heptomino |
![]() A grandparent (a pentaplet) and parent (a hexomino) of pi |
![]() An alternative parent of generation 1 |
![]() |
![]() |
This pattern, which resembles the word "Pi", evolves exactly like the Pi-heptomino after two generations, stabilizing at generation 174. |
gollark: It's quite condescending.
gollark: I suppose you could probably say something about how the economy was better when stuff was differentiated and stuff was made by individual craftsmen but that's stupid and would make no sense for silicon stuff.
gollark: You're also ferra.
gollark: I'm not sure about real estate, it's not like you can trivially swap 1km² of land somewhere for 1km² elsewhere.
gollark: I'm *guessing* your complaint is along the lines of "people need water → no trading of it allowed → commoditisation involves that" but I can only really guess.
See also
This article is issued from Conwaylife. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.