I-heptomino

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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 ]]
Pattern type Miscellaneous
Number of cells 7
Bounding box 4 × 4
Static symmetry Unspecified
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 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 GRID OFF 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.

Hasslers

The I-heptomino sequence can be hassled in oscillators. Four examples are shown below. For all four, generation 4 is the pattern that the various predecessors in the I sequence typically converge to; this is done to show a variety of predecessors.

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$10b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 450 WIDTH 600 THUMBSIZE 2 ZOOM 10 GPS 15 THEME Book STARTFROM 30 ]]
p30, found by Mitchell Riley on April 16, 2023[1]
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x = 39, y = 22, rule = B3/S23 2o4bo$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! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 450 WIDTH 600 THUMBSIZE 2 ZOOM 10 GPS 18 THEME Book STARTFROM 36 ]]
p36 shuttle, found by Carson Cheng on September 6, 2022
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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! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 450 WIDTH 600 THUMBSIZE 2 ZOOM 10 GPS 32 THEME Book STARTFROM 62 ]]
p62, found by Mitchell Riley on April 5, 2023
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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! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 450 WIDTH 600 THUMBSIZE 2 ZOOM 10 GPS 38 THEME Book STARTFROM 75 ]]
p75, found by Mitchell Riley on November 2, 2022
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Other uses

The I-heptomino sequence is a recognized conduit input and output, represented by the letter I.

See also

References

  1. AlbertArmStain (April 16, 2023). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums

External links