Difference between revisions of "Pi-heptomino"
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{{Methuselah|name=Pi-heptomino|pname=piheptomino | {{Methuselah | ||
'''Pi-heptomino''' (or '''pi''') is a common [[Polyomino#Heptominoes|heptomino]] that stabilizes at [[generation]] 173. The name "pi" is also applied to some slight variations of this object that follow that same evolutionary sequence | |name = Pi-heptomino | ||
|pname = piheptomino | |||
|c = 7 | |||
|bx = 3 | |||
|by = 3 | |||
|l = 173 | |||
|f = 55 | |||
|mcps = 7 | |||
|discoverer = John Conway | |||
|discoveryear = 1970 | |||
|synthesis = 2 | |||
|synthesisRLE = true | |||
|plaintext = true | |||
|rle = true | |||
}} | |||
'''Pi-heptomino''' (or '''pi'''; sometimes called '''blasting cap''' at MIT after its shape at generation 1<ref>{{CiteLexicon|file=lex_b.htm#blastingcap|name=Blasting cap|accessdate=May 14, 2016}}</ref>) is a common [[Polyomino#Heptominoes|heptomino]] that stabilizes at [[generation]] 173, leaving behind six [[block]]s, five [[blinker]]s and two [[pond]]s. 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. | |||
In April | In April {{year|1992}}, [[Bill Gosper]] discovered that two [[block]]s can be used to [[eater|eat]] a pi, as shown below. The eating reaction takes 65 [[generation]]s to complete. Gosper also discovered in the same month that a pi, along with two blocks and two [[blinker]]s, can be used to create a [[queen bee shuttle]]. | ||
==Image gallery== | ==Image gallery== | ||
| Line 10: | Line 25: | ||
|[[Image:Pi-parents.gif|framed|left|A grandparent (a pentaplet) and parent (a hexomino) of pi]] | |[[Image:Pi-parents.gif|framed|left|A grandparent (a pentaplet) and parent (a hexomino) of pi]] | ||
|[[Image:Pi1.png|framed|left|An alternative [[parent]] of generation 1]] | |[[Image:Pi1.png|framed|left|An alternative [[parent]] of generation 1]] | ||
|- | |||
|[[Image:Pi_eater.png|framed|left|A pi eater<br />{{JavaRLE|pieater|brief}}]] | |[[Image:Pi_eater.png|framed|left|A pi eater<br />{{JavaRLE|pieater|brief}}]] | ||
|[[Image:Pi_eater2.png|framed|left|Another pi eater<br />{{JavaRLE|pieater2|brief}}]] | |[[Image:Pi_eater2.png|framed|left|Another pi eater<br />{{JavaRLE|pieater2|brief}}]] | ||
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*[[House]] | *[[House]] | ||
==References== | |||
<references /> | |||
{{Symmetry|orthogonal2}} | |||
==External links== | ==External links== | ||
{{LinkWeisstein|Pi-Heptomino.html}} | {{LinkWeisstein|Pi-Heptomino.html}} | ||
{{LinkLexicon|lex_p.htm#piheptomino}} | {{LinkLexicon|lex_p.htm#piheptomino}} | ||
Revision as of 04:41, 30 December 2019
| 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 | ||||||
| |||||||
| |||||||
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.
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. |
See also
References
- ↑ "Blasting cap". The Life Lexicon. Stephen Silver. Retrieved on May 14, 2016.
External links
- Pi-heptomino at the Life Lexicon