Difference between revisions of "Hexagonal key"
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|rulemin = B/S23 | |rulemin = B/S23 | ||
|rulemax = B3678/S012345678 | |rulemax = B3678/S012345678 | ||
|rulespecial = [[Conway's Game of Life|Conway Life]], | |rulespecial = [[Conway's Game of Life|Conway Life]], {{rl|HighLife}} | ||
|isorulemin = B/S2-in3kqr | |isorulemin = B/S2-in3kqr | ||
|isorulemax = B2cin34-aknqt5-y678/S012345678 | |isorulemax = B2cin34-aknqt5-y678/S012345678 | ||
|synthesis = | |synthesis = 5 | ||
|plaintext = true | |plaintext = true | ||
|rle = true | |rle = true | ||
|apgcode = xs13_o4pb8oz01 | |apgcode = xs13_o4pb8oz01 | ||
|niemiecid = 13.231 | |||
|pentadecathlonid = 13.213 | |pentadecathlonid = 13.213 | ||
|viewerconfig = #C [[ ZOOM 42 ]] | |||
'''Hexagonal key''' is a [[still life]] with [[: | }} | ||
'''Hexagonal key''' is a [[still life]] with {{slcells|13|text=13 cells}}. | |||
== Hexagonal key reaction == | |||
Hexagonal key can be turned into an [[LWSS]] and a [[blinker]] by colliding a single [[glider]] into it: | |||
{{EmbedViewer | |||
|pname = hexagonalkeylwss | |||
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 ANGLE 270 GPS 5 THEME Book AUTOSTART T 0 PAUSE 2 T 24 PAUSE 2 LOOP 25 ]] | |||
|position = center | |||
|caption = Hexagonal key + G → LWSS + blinker | |||
|style = width:300px; | |||
}} | |||
By placing two [[block]]s next to the still life, the leftover debris is turned into two [[glider]]s: | |||
{{EmbedViewer | |||
|pname = hexagonalkeylwss2 | |||
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 460 ZOOM 10 ANGLE 270 GPS 20 THEME Book AUTOSTART T 0 PAUSE 2 T 124 PAUSE 2 LOOP 125 ]] | |||
|position = center | |||
|caption = Hexagonal key + G + 2 blocks → LWSS + 2G | |||
|style = width:300px; | |||
}} | |||
This reaction was discovered by [[David Bell]] on November 4, {{year|2007}}, and was used to create a growing LWSS [[rake]] shown below:<ref>{{CiteSummersPattern|name=jslife|accessdate=October 28, 2020}}</ref> | |||
{{EmbedViewer | |||
|pname = growrakelwss | |||
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 2 HEIGHT 800 WIDTH 1000 ]] | |||
|position = center | |||
|caption = Growing LWSS rake made from hexagonal key reaction | |||
|style = width:300px; | |||
}} | |||
== Construction == | |||
Hexagonal key is known to be [[Glider synthesis|constructible]] with 5 gliders.<ref name="catagolue_object" /> A {{gliders|6}} synthesis was found in June {{year|2022}}.<ref name="j2578164108" /> A {{gliders|5}} synthesis was found in April {{year|2023}}.<ref name="j4167667729" /> | |||
{|style="margin:auto;width:300px;" | |||
|{{EmbedViewer | |||
|rle = x = 38, y = 33, rule = B3/S23 | |||
22bo$20b2o$21b2o3$10bo$11bo$9b3o9$33bo$32bobo2bo$32bob4o$bo31bo$b2o14b | |||
3o15bo$obo14bo16b2o$18bo8$3b2o$2bobo$4bo! | |||
|viewerconfig = #C [[ HEIGHT 500 THEME Book ZOOM 12 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 45 PAUSE 2 LOOP 46 ]] | |||
|position = center | |||
|caption = A 5G synthesis<ref name="j4167667729" /> | |||
}} | |||
|{{EmbedViewer | |||
|rle = x = 66, y = 47, rule = B3/S23 | |||
2bo$obo$b2o9$63bo$63bobo$63b2o10$37bo$30bo7bo$28bobo5b3o$29b2o6$54bo$ | |||
53bobo2bo$53bob4o$54bo$56bo$55b2o2$47b3o$47bo$48bo3$53b3o$53bo$54bo! | |||
|viewerconfig = #C [[ HEIGHT 500 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 104 PAUSE 1 T 110 PAUSE 2 LOOP 111 ]] | |||
|position = center | |||
|caption = A 6G synthesis<ref name="j2578164108" /><ref>{{cite web | |||
|url = https://web.archive.org/web/20221031103326/https://catagolue.hatsya.com/object/xs13_o4pb8oz01/b3s23 | |||
|title = xs13_o4pb8oz01 costs 6 gliders | |||
|work = Catagolue | |||
|date = October 31, 2022 | |||
}}</ref> | |||
}} | |||
|- | |||
|{{EmbedViewer | |||
|rle = x = 76, y = 79, rule = B3/S23 | |||
74bo$73bo$73b3o18$43bo$41b2o$42b2o4$29bo$30bo$28b3o13$31bo$31b2o$30bob | |||
o27bo$59bobo2bo$59bob4o$60bo$62bo$61b2o$31b2o19b2o$30bobo19bobo$32bo | |||
19bo25$bo$b2o$obo! | |||
|viewerconfig = #C [[ HEIGHT 500 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 26 PAUSE 1 T 131 PAUSE 2 LOOP 132 ]] | |||
|position = center | |||
|caption = A 7G synthesis<ref>{{cite web | |||
|url = https://web.archive.org/web/20201125162255/https://catagolue.hatsya.com/object/xs13_o4pb8oz01/b3s23/ | |||
|title = xs13_o4pb8oz01 costs 7 gliders | |||
|work = Catagolue | |||
|date = November 25, 2020 | |||
}}</ref> | |||
}} | |||
|{{EmbedViewer | |||
|rle = x = 36, y = 28, rule = B3/S23 | |||
2bo$obo$b2o6bo13bo$7bobo13bobo$8b2o13b2o4$31bo$30bobo2bo$30bob4o$31bo$ | |||
33bo$32b2o2$3b3o$5bo$4bo2$19b2o$18b2o10b2o$20bo8b2o$4b2o25bo$5b2o$4bo$ | |||
18b2o$17b2o$19bo! | |||
|viewerconfig = #C [[ HEIGHT 500 THEME Book ZOOM 12 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 33 PAUSE 1 T 42 PAUSE 2 LOOP 43 ]] | |||
|position = center | |||
|caption = A 8G synthesis<ref name="niemiec" /> | |||
}} | |||
|} | |||
== Occurrence == | |||
{{related|List of common still lifes|List of still lifes with 13 cells}} | |||
Among the 240 still lifes with 13 cells, this is the 95th most common still life according to [[Catagolue]]. | |||
Hexagonal key does not occur in the ash of any of collisions catalogued in [[Octohash database|octohash]], octo3obj or octo3g databases. | |||
==References== | |||
<references> | |||
<ref name="catagolue_object">{{LinkCatagolue|xs13_o4pb8oz01|style=nobullet}}</ref> | |||
<ref name="j2578164108">{{CiteCatagolueJob|job=2578164108|date=June 11, 2022}}</ref> | |||
<ref name="j4167667729">{{CiteCatagolueJob|job=4167667729|date=April 24, 2023}}</ref> | |||
<ref name="niemiec">{{LinkNiemiec|p1-13.htm|Life Thirteen-Bit Still-Lifes|rle=13/13-231.rle|nobullet=nobullet}}</ref> | |||
</references> | |||
==External links== | ==External links== | ||
{{LinkPentadecathlonObject|13.213}} | * {{LinkCatagolue|xs13_o4pb8oz01}} | ||
{{ | * {{LinkPentadecathlonObject|13.213}} | ||
* {{LinkNiemiec|p1-13.htm|Life Thirteen-Bit Still-Lifes|rle=13/13-231.rle}} | |||
Latest revision as of 00:56, 25 April 2023
| Hexagonal key | |||||||||
| View static image | |||||||||
| Pattern type | Strict still life | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 13 | ||||||||
| Bounding box | 6 × 6 | ||||||||
| Frequency class | 30.7 | ||||||||
| Discovered by | Unknown | ||||||||
| Year of discovery | Unknown | ||||||||
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Hexagonal key is a still life with 13 cells.
Hexagonal key reaction
Hexagonal key can be turned into an LWSS and a blinker by colliding a single glider into it:
| Hexagonal key + G → LWSS + blinker (click above to open LifeViewer) RLE: here Plaintext: here |
By placing two blocks next to the still life, the leftover debris is turned into two gliders:
| Hexagonal key + G + 2 blocks → LWSS + 2G (click above to open LifeViewer) RLE: here Plaintext: here |
This reaction was discovered by David Bell on November 4, 2007, and was used to create a growing LWSS rake shown below:[1]
| Growing LWSS rake made from hexagonal key reaction (click above to open LifeViewer) RLE: here Plaintext: here |
Construction
Hexagonal key is known to be constructible with 5 gliders.[2] A 6-glider synthesis was found in June 2022.[3] A 5-glider synthesis was found in April 2023.[4]
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Occurrence
Among the 240 still lifes with 13 cells, this is the 95th most common still life according to Catagolue.
Hexagonal key does not occur in the ash of any of collisions catalogued in octohash, octo3obj or octo3g databases.
References
- ↑ Jason Summers' jslife pattern collection. Retrieved on October 28, 2020.
- ↑ xs13_o4pb8oz01 at Adam P. Goucher's Catagolue
- ↑ 3.0 3.1 shinjuku (#2578164108) (June 11, 2022). Job triggered by Adam P. Goucher at GitLab Catagolue project.
- ↑ 4.0 4.1 shinjuku (#4167667729) (April 24, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
- ↑ "xs13_o4pb8oz01 costs 6 gliders". Catagolue (October 31, 2022).
- ↑ "xs13_o4pb8oz01 costs 7 gliders". Catagolue (November 25, 2020).
- ↑ Life Thirteen-Bit Still-Lifes at Mark D. Niemiec's Life Page (download pattern file: 13/13-231.rle)
External links
- Hexagonal key at Adam P. Goucher's Catagolue
- 13.213 at Heinrich Koenig's Game of Life Object Catalogs
- Life Thirteen-Bit Still-Lifes at Mark D. Niemiec's Life Page (download pattern file: 13/13-231.rle)