I-heptomino: Difference between revisions

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{{Pattern
{{Methuselah
|name        = I-heptomino
|name        = I-heptomino
|pname        = iheptomino
|pname        = iheptomino
Line 8: Line 8:
|f            = 39
|f            = 39
|mcps        = 7
|mcps        = 7
|symmetry    = C1
|discoveryear = 1971
|discoveryear = 1971
|rulemin      = B3/S23
|rulemin      = B3/S23
|rulemax      = B3/S23
|rulemax      = B3/S23
|rulespecial  = [[Conway's Game of Life|Conway Life]]
|isorulemin  = B3/S23
|isorulemin  = B3/S23
|isorulemax  = B3/S23
|isorulemax  = B3/S23
|synthesis    = 3
|synthesis    = 3
|rle          = true
|rle          = true
|plaintext    = true
|viewerconfig = #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 3 ZOOM 48 GPS 10 AUTOSTART OFF ]]
|viewerconfig = #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 3 ZOOM 48 GPS 10 AUTOSTART OFF ]]
}}
}}
'''I-heptomino''' is the name given by [[Conway]] to the [[heptomino]] shown in the infobox. After one generation, this converges to the same [[evolution]]ary sequence as the [[H-heptomino]]. The name I rather than H was chosen as standard for this sequence because [[conduit]]s use one-letter names and H is the [[Herschel]].
'''I-heptomino''' is the name given by [[Conway]] to the [[heptomino]] shown in the infobox. After one generation, this converges to the same [[evolution]]ary sequence as the [[H-heptomino]]. The name I rather than H was chosen as standard for this sequence because [[conduit]]s use one-letter names and H is the [[Herschel]].
The I-heptomino stabilises after 247 generations as three [[block]]s, two [[glider]]s, a [[beehive]], a [[boat]], and a [[ship]].


The longest-lasting active reaction is the standard evolutionary sequence of a Herschel, at the bottom of the pattern below:
The longest-lasting active reaction is the standard evolutionary sequence of a Herschel, at the bottom of the pattern below:
Line 24: Line 27:
{{EmbedViewer
{{EmbedViewer
|pname        = iheptomino
|pname        = iheptomino
|viewerconfig = #C [[ HEIGHT 480 WIDTH 600 THUMBSIZE 2 ZOOM 20 GRID OFF GPS 10 AUTOSTART T 0 PAUSE 4 T 100 ZOOM 6 T 299 PAUSE 1 LOOP 300 ]]
|viewerconfig = #C [[ HEIGHT 480 WIDTH 600 THUMBSIZE 2 ZOOM 20 THEME Book GPS 10 AUTOSTART T 0 PAUSE 4 T 100 ZOOM 6 T 299 PAUSE 1 LOOP 300 ]]
|position    = center
|position    = center
|caption      =  
|caption      =  
Line 42: Line 45:
The [[century]] sequence has a phase around generation 53 that is an I-heptomino sequence plus five stable objects (three blocks, a beehive, and a toad). The I sequence then hits the beehive, destroying the beehive and toad and leaving behind a blinker.
The [[century]] sequence has a phase around generation 53 that is an I-heptomino sequence plus five stable objects (three blocks, a beehive, and a toad). The I sequence then hits the beehive, destroying the beehive and toad and leaving behind a blinker.


==Hasslers==
== Uses ==
 
=== In hasslers ===
The I-heptomino sequence can be [[hassle]]d in oscillators. A complete list of hasslers can be found at [[I-heptomino hasslers]].
 
=== In conduits ===
The I-heptomino is a recognized [[conduit]] object, represented by the letter '''I'''.


The I-heptomino sequence can be [[hassle]]d in oscillators. Four examples are shown below. For all four, generation 4 is the pattern that the various [[predecessor]]s in the I sequence typically converge to; this is done to show a variety of predecessors.
{{EmbedViewer
{{gallery top}}
|rle          = o$bo$b2o$2o2b2o13b2o$o3b2o13b2o4$17b2o$17bo$b2o15b3o$bo18bo$2bo$b2o!
{{gallery item|{{EmbedViewer
|viewerconfig = #C [[ THUMBSIZE 2 GPS 30 STOP 89 ]]
|rle          = x = 39, y = 28, rule = B3/S23
27b2o$25b3o$24bo4bo2bo$25b3ob4o$27bo5b2o$27bob2o2bo$28b2obobo$32bo4b2o
$15b2o20bo$15b2o18bobo$35b2o$22b2o$22b2obo$22bob2o$13b2obo$13bob2o$15b
2o$2b2o$bobo18b2o$bo20b2o$2o4bo$5bobob2o$5bo2b2obo$4b2o5bo$6b4ob3o$6bo
2bo4bo$11b3o$10b2o!
|viewerconfig = #C [[ HEIGHT 450 WIDTH 600 THUMBSIZE 2 ZOOM 10 GPS 15 THEME Book STARTFROM 30 ]]
|position    = center
|position    = center
|caption      = p30, found by [[Mitchell Riley]] on April 16, {{year|2023}}<ref name="post160551">{{LinkForumThread|format=ref|p=160551|title=Re: Oscillator Discussion Thread|author=AlbertArmStain|date=April 16, 2023}}</ref>
|caption      = an example of the I-heptomino in a conduit, here with a B to I
|style        = width:300px;
}}
}}}}
{{gallery item|{{EmbedViewer
|rle          = x = 39, y = 22, rule = B3/S23
2o4bo$obo2bobo$2b4obo24bo4b2o$obo2bobo2bo20bobo2bobo$2o4bo3bo20bob4o$
7bo3bo16bo2bobo2bobo$11b2o15bo3bo4b2o$9bob2o7bo6bo3bo$7b3o2b2o5bobo4b
2o$9bob3o5bobo4b2obo$9bob3o6b2o3b2o2b3o$7b3o2b2o4bo3bo2b3obo$9bob2o4bo
4bo2b3obo$11b2o3bo8b2o2b3o$7bo3bo8bo5b2obo$2o4bo3bo4b2o2bo6b2o$obo2bob
o2bo8bo7bo3bo$2b4obo7b2o11bo3bo4b2o$obo2bobo12bo7bo2bobo2bobo$2o4bo10b
o2bo10bob4o$17bobo11bobo2bobo$18bo13bo4b2o!
|viewerconfig = #C [[ HEIGHT 450 WIDTH 600 THUMBSIZE 2 ZOOM 10 GPS 18 THEME Book STARTFROM 36 ]]
|position    = center
|caption      = p36 shuttle, found by [[Carson Cheng]] on September 6, {{year|2022}}
|style        = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|rle          = x = 30, y = 27, rule = B3/S23
8bo7bo$8b2o4b3o$8b2o3bo$9bo3b2o5$25bo$11bo12bobo$10bo4bo8bobo$16b2o5b
2ob3o$3bob2o10b2o10bo$b3ob2o4bo6bo4b2ob3o$o10b2o10b2obo$b3ob2o5b2o$3bo
bo8bo4bo$3bobo12bo$4bo5$15b2o3bo$16bo3b2o$13b3o4b2o$13bo7bo!
|viewerconfig = #C [[ HEIGHT 450 WIDTH 600 THUMBSIZE 2 ZOOM 10 GPS 32 THEME Book STARTFROM 62 ]]
|position    = center
|caption      = p62, found by [[Mitchell Riley]] on April 5, {{year|2023}}
|style        = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|rle          = x = 29, y = 22, rule = B3/S23
21bo2b2o$2bo17bobo2bo$2bo17bobobo$19b2obob2o$19bo2bo3bo$20bo2b3obo$19b
o2b2o3bo$2b2o16bo2b4o$bob2o14bo2bo$2bob2o13b2obob5o$20bobo2bo2bo$20bo
2bo$21b2o5$2b2o6b2o$o4bo2bo4bo$o4bo2bo4bo$o4bo2bo4bo$2b2o6b2o!
|viewerconfig = #C [[ HEIGHT 450 WIDTH 600 THUMBSIZE 2 ZOOM 10 GPS 38 THEME Book STARTFROM 75 ]]
|position    = center
|caption      = [[p75 I-heptomino hassler|p75]], found by [[Mitchell Riley]] on November 2, {{year|2022}}
|style        = width:300px;
}}}}
{{gallery bottom}}


==Other uses==
=== Climber ===


The I-heptomino sequence is a recognized [[conduit]] input and output, represented by the letter I.
The [[silk moth]] uses the I-heptomino as a climber at speed (15,11)c/107.


==See also==
== See also ==
* [[List of common evolutionary sequences]]
* [[List of common evolutionary sequences]]


==References==
== References ==
<references>
<references>
</references>
</references>


==External links==
== External links ==
* {{LinkLexicon|lex_i.htm#iheptomino}}
* {{LinkLexicon|lex_i.htm#iheptomino}}


[[Category:Polyominoes]]
[[Category:Polyominoes]]
__NOTOC__
__NOTOC__

Latest revision as of 09:47, 6 July 2026

I-heptomino
x = 4, y = 4, rule = B3/S23 2o$bo$b2o$2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 3 ZOOM 48 GPS 10 AUTOSTART OFF ]]
View static image
Pattern type Methuselah
Number of cells 7
Bounding box 4 × 4
MCPS 7
Lifespan 247 generations
Final population 39
L/I 35.3
F/I 5.6
F/L 0.158
L/MCPS 35.3
Static symmetry C1
Discovered by Unknown
Year of discovery 1971

I-heptomino is the name given by Conway to the heptomino shown in the infobox. After one generation, this converges to the same evolutionary sequence as the H-heptomino. The name I rather than H was chosen as standard for this sequence because conduits use one-letter names and H is the Herschel.

The I-heptomino stabilises after 247 generations as three blocks, two gliders, a beehive, a boat, and a ship.

The longest-lasting active reaction is the standard evolutionary sequence of a Herschel, at the bottom of the pattern below:

x = 4, y = 4, rule = B3/S23 2o$bo$b2o$2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 480 WIDTH 600 THUMBSIZE 2 ZOOM 20 THEME Book GPS 10 AUTOSTART T 0 PAUSE 4 T 100 ZOOM 6 T 299 PAUSE 1 LOOP 300 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here

In the following examples, on the top, there are two six-cell polyplets that follow the I-heptomino sequence. The one on the left becomes the I-heptomino itself, while the one on the right follows a slightly different sequence. On the bottom, there are two houses with one cell removed each; both follow the I-heptomino sequence.

x = 25, y = 21, rule = B3/S23 5bo16bo$5bo15bo$4bo15bo$3bo15bo$3bo15bo$2bo15bo13$b3o17b3o$o3bo15bo3bo $2o2bo15b2obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 800 THUMBSIZE 2 ZOOM 12 GPS 6 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here

The century sequence has a phase around generation 53 that is an I-heptomino sequence plus five stable objects (three blocks, a beehive, and a toad). The I sequence then hits the beehive, destroying the beehive and toad and leaving behind a blinker.

Uses

In hasslers

The I-heptomino sequence can be hassled in oscillators. A complete list of hasslers can be found at I-heptomino hasslers.

In conduits

The I-heptomino is a recognized conduit object, represented by the letter I.

o$bo$b2o$2o2b2o13b2o$o3b2o13b2o4$17b2o$17bo$b2o15b3o$bo18bo$2bo$b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 GPS 30 STOP 89 ]]
an example of the I-heptomino in a conduit, here with a B to I
(click above to open LifeViewer)

Climber

The silk moth uses the I-heptomino as a climber at speed (15,11)c/107.

See also

References


Retrieved from "https://conwaylife.com/w/index.php?title=I-heptomino&oldid=173898"