42P38: Difference between revisions
Jump to navigation
Jump to search
|plaintext = true |
Hotcrystal0 (talk | contribs) No edit summary |
||
| (8 intermediate revisions by 6 users not shown) | |||
| Line 10: | Line 10: | ||
|v = 0.93 | |v = 0.93 | ||
|sv = 0.87 | |sv = 0.87 | ||
|symmetry = .c | |||
|discoverer = Mitchell Riley | |discoverer = Mitchell Riley | ||
|discoveryear = 2023 | |discoveryear = 2023 | ||
|rulemin = B3/S23 | |rulemin = B3/S23 | ||
|rulemax = B38/S238 | |rulemax = B38/S238 | ||
|isorulemin = B3/S23 | |isorulemin = B3/S23 | ||
|isorulemax = B34e5ce6n7c8/S234cey5e6i7e8 | |isorulemax = B34e5ce6n7c8/S234cey5e6i7e8 | ||
| Line 23: | Line 23: | ||
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 3 ZOOM 18 GPS 19 LOOP 38 ]] | |viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 3 ZOOM 18 GPS 19 LOOP 38 ]] | ||
}} | }} | ||
'''42P38''' is a small {{period|38}} [[oscillator]] found by [[Mitchell Riley]] on April 21, {{year|2023}}.<ref name="message1099006580030185472" /> With only 42 cells, it is the smallest known period-38 oscillator by population; surpassing [[44P38]]. It consists of an [[R-pentomino]] turning into an [[octomino II]] via [[fishhook]], then turning back into an R-pentomino via a combination of a [[transparent]] [[blinker]] plus [[toad]] catalyst and hitting a second copy of itself. | '''42P38''' is a small {{period|38}} [[oscillator]] found by [[Mitchell Riley]] on April 21, {{year|2023}}.<ref name="message1099006580030185472" /> With only 42 cells, it is the smallest known period-38 oscillator by population; surpassing [[44P38]]. It consists of an [[R-pentomino]] turning into an [[octomino II]] via [[fishhook]], then turning back into an R-pentomino via a combination of a [[transparent]] [[blinker]] plus [[toad]] [[catalyst]] and hitting a second copy of itself. | ||
It is a delayed domino sparker, allowing for the construction of some [[LCM oscillator]]s and a period-38 [[honey farm hassler]]: | It is a delayed domino sparker, allowing for the construction of some [[LCM oscillator]]s and a period-38 [[honey farm hassler]]: | ||
| Line 31: | Line 31: | ||
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 HEIGHT 450 WIDTH 700 GPS 19 AUTOSTART ]] | |viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 HEIGHT 450 WIDTH 700 GPS 19 AUTOSTART ]] | ||
|position = center | |position = center | ||
|caption = p38 honey farm hassler found by [[David Raucci]] (base reaction), [[Mitchell Riley]] (sparker), and [[ | |caption = p38 honey farm hassler found by [[David Raucci]] (base reaction), [[Mitchell Riley]] (sparker), and [[Aleph]] (combination) on April 21, 2023 | ||
|style = width:300px; | |style = width:300px; | ||
|apgcode = xp38_y7178czyeg08oxszy1soy73221y0eszwggw1sxe917zwp4d2sgy6o8gz3ihehma1y04v1g06w3iw8gw253zw343y24u044oy01i2g72y1gs2sgzy3ca4x1w4s0g6w8f2y0ol687o4czye11y6g34bipzy6gy8e897x3ogzy637gxo44sy713zy83x11zyj31e8 | |||
}} | }} | ||
| Line 38: | Line 39: | ||
== LCM oscillators == | == LCM oscillators == | ||
The [[LCM oscillator]]s below are | The [[LCM oscillator]]s below are the smallest known ones of their period by population while satisfying the condition that at least one cell oscillates at the full period. | ||
The patterns are shown with visible [[envelope]] to highlight interactions between subpatterns. | The patterns are shown with visible [[envelope]] to highlight interactions between subpatterns. | ||
{{gallery top}} | {{gallery top}} | ||
{{gallery item|{{EmbedViewer | {{gallery item|{{EmbedViewer | ||
|pname = catereron42p38 | |pname = catereron42p38 | ||
| Line 74: | Line 67: | ||
}}}} | }}}} | ||
{{gallery item|{{EmbedViewer | {{gallery item|{{EmbedViewer | ||
|pname = | |pname = p9thumbon42p38 | ||
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM | |viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 10 GPS 24 THEME Book STARTFROM 342 ]] | ||
|position = center | |position = center | ||
|caption = | |caption = 78P342 with [[p9 thumb]] | ||
|style = width:300px; | |style = width:300px; | ||
|apgcode = | |apgcode = xp342_xo487p8a6z330f840743156wggzy9643zwey162eze7yfsezy8e8cy1ezy3o4czy211 | ||
}}}} | }}}} | ||
{{gallery bottom}} | {{gallery bottom}} | ||
==References== | == References == | ||
<references> | <references> | ||
<ref name="j4179541540">{{CiteCatagolueJob|job=4179541540|date=April 26, 2023}}</ref> | <ref name="j4179541540">{{CiteCatagolueJob|job=4179541540|date=April 26, 2023}}</ref> | ||
| Line 108: | Line 101: | ||
</references> | </references> | ||
==External links== | == External links == | ||
* {{LinkCatagolue|xp38_y2178czy8s4cy1szsoyfesz01sy1ogszy9o8gzyb32}} | * {{LinkCatagolue|xp38_y2178czy8s4cy1szsoyfesz01sy1ogszy9o8gzyb32}} | ||
[[Category:R-pentomino hasslers|038]] | [[Category:R-pentomino hasslers|038]] | ||
{{Sparker|p=38|type=domino|strength=strong}} | {{Sparker|p=38|type=domino|strength=strong}} | ||
__NOTOC__ | __NOTOC__ | ||
Latest revision as of 15:14, 6 August 2026
| 42P38 | |||||||||
| View static image | |||||||||
| Pattern type | Oscillator | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 42 | ||||||||
| Bounding box | 25 × 27 | ||||||||
| Period | 38 (mod: 38) | ||||||||
| Heat | 45.5 | ||||||||
| Volatility | 0.93 | 0.87 | ||||||||
| Kinetic symmetry | .c | ||||||||
| Discovered by | Mitchell Riley | ||||||||
| Year of discovery | 2023 | ||||||||
| |||||||||
| |||||||||
| |||||||||
| |||||||||
42P38 is a small period-38 oscillator found by Mitchell Riley on April 21, 2023.[1] With only 42 cells, it is the smallest known period-38 oscillator by population; surpassing 44P38. It consists of an R-pentomino turning into an octomino II via fishhook, then turning back into an R-pentomino via a combination of a transparent blinker plus toad catalyst and hitting a second copy of itself.
It is a delayed domino sparker, allowing for the construction of some LCM oscillators and a period-38 honey farm hassler:
| p38 honey farm hassler found by David Raucci (base reaction), Mitchell Riley (sparker), and Aleph (combination) on April 21, 2023 (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here |
Carson Cheng found a 22-glider synthesis of 42P38 on April 26, 2023.[2][3] This was reduced to 18 gliders by Chris857 on August 14, 2023.[4][5]
LCM oscillators
The LCM oscillators below are the smallest known ones of their period by population while satisfying the condition that at least one cell oscillates at the full period. The patterns are shown with visible envelope to highlight interactions between subpatterns.
| 54P152 with figure eight (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here |
| 76P266 with 34P14 shuttle (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here |
References
- ↑ mvr (April 21, 2023). Message in #cgol on the Conwaylife Lounge Discord server
- ↑ carsoncheng (April 26, 2023). Message in #cgol on the Conwaylife Lounge Discord server
- ↑ shinjuku (#4179541540) (April 26, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
- ↑ Chris857 (August 14, 2023). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ shinjuku (#4866715643) (August 14, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
External links
Categories:
- Patterns
- Oscillators with 42 cells
- Periodic objects with minimum population 42
- Patterns with 42 cells
- Patterns found by Mitchell Riley
- Patterns found in 2023
- Patterns that can be constructed with 18 gliders
- Oscillators
- Oscillators with period 38
- Oscillators with mod 38
- Oscillators with heat 45
- Oscillators with volatility 0.93
- Oscillators with strict volatility 0.87
- Oscillators with .c symmetry
- R-pentomino hasslers
- Sparkers
- Sparkers with period 38
- Domino sparkers
- Strong sparkers