Difference between revisions of "44P49"

	44P49
	<a href="/wiki/File:44p49.png" class="image" title="44P49 image"><img alt="44P49 image" src="/w/images/f/fc/44p49.png" decoding="async" width="493" height="181" /></a>
	<a href="/wiki/File:44p49.png" class="image" title="44P49 image"><img alt="44P49 image" src="/w/images/f/fc/44p49.png" decoding="async" width="493" height="181" /></a>
	View static image
Pattern type	Oscillator
Number of cells	44
Bounding box	39 × 13
Period	49 (mod: 49)
Heat	31
Volatility	0.94 \| 0.94
Kinetic symmetry	.c
Discovered by	Mitchell Riley
Year of discovery	2023
Rules
Outer-totalistic rules	B3/S23 only
# of rules	20 = 1
Isotropic rules	B3/S23 – B34c6c/S234ce5ek6i
Glider synthesis
Fewest gliders	18†
Catagolue-generated RLE	synthesis
	†Can be constructed with 15 gliders using the reverse caber tosser universal constructor.
Pattern files
Plaintext	44p49.cells
RLE	44p49.rle
Identifiers
apgcode	xp49_32acy6gy033y1ogzx66y2co03y5ew1y23jgzye66yb1226

Latest revision as of 00:12, 3 February 2025

44P49 is a period-49 oscillator found by Mitchell Riley on November 14, 2023.^[1] The oscillator features two unnamed objects hassled by four blocks and two eater 1s.

The unnamed objects are the same as those in Raucci's p102 and 45P25.

3o2$3b2o$2bo2bo$3b2o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ GPS 8 THUMBSIZE 2 ]]

The hassled object evolves from a beehive and a blinker that are too close to each other
(click above to open LifeViewer)

With minimum population of 44 cells, it is the smallest known oscillator of this period.

It also produces V sparks with a high clearance, allowing for the construction of LCM oscillators.

A 24-glider synthesis of 44P49 was completed by Chris857 on the day of discovery,^[2]^[3] which he reduced to 20 gliders the next day.^[2]^[4] On January 21, 2025, KtT lowered the cost to 18 gliders.^[5]

LCM oscillators

The LCM oscillators below are the smallest known ones by population while satisfying the condition that at least one cell oscillates at the full period.

x = 41, y = 25, rule = B3/S23
31b2o$26b2o3bobo6bo$26b2o3bo2bo4b2o$32bo3bo$34bobo2$34bobo$32bo3bo$26b
2o3bo2bo4b2o$26b2o3bobo6bo$31b2o2$o18b2o$3o16b2o$3bo$2b2o$26b2o$14bo
12bo6b2o$3b2o8b3o7b3o8b2o$3b2o6bo12bo$11b2o$35b2o$35bo$18b2o16b3o$18b
2o18bo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ THUMBSIZE 2 ZOOM 12 GPS 24 HEIGHT 400 THEME Book STARTFROM 98 ]]

78P98 with 34P14 shuttle
(click above to open LifeViewer)
Catagolue: here

x = 39, y = 22, rule = B3/S23
24bo$24bo$24bo$24b2o$27bo$23bo4bo$28bo$24b3o2$o18b2o$3o16b2o$3bo$2b2o$
26b2o$14bo12bo6b2o$3b2o8b3o7b3o8b2o$3b2o6bo12bo$11b2o$35b2o$35bo$18b2o
16b3o$18b2o18bo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ THUMBSIZE 2 ZOOM 12 GPS 24 HEIGHT 400 THEME Book STARTFROM 147 ]]

56P147 with caterer
(click above to open LifeViewer)
Catagolue: here

x = 39, y = 17, rule = B3/S23
6b2o$5bo2bo$5bobobo$6bo2bo$o9bo8b2o$3o4bobo9b2o$3bo$2b2o$26b2o$14bo12b
o6b2o$3b2o8b3o7b3o8b2o$3b2o6bo12bo$11b2o$35b2o$35bo$18b2o16b3o$18b2o
18bo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ THUMBSIZE 2 ZOOM 12 GPS 24 HEIGHT 400 THEME Book STARTFROM 196 ]]

56P196 with mold
(click above to open LifeViewer)
Catagolue: here

x = 39, y = 18, rule = B3/S23
7b4o$6bob2obo$6b2o2b2o$6b2o2b2o$6bob2obo$o6b4o8b2o$3o16b2o$3bo$2b2o$26b
2o$14bo12bo6b2o$3b2o8b3o7b3o8b2o$3b2o6bo12bo$11b2o$35b2o$35bo$18b2o16b
3o$18b2o18bo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ THUMBSIZE 2 ZOOM 12 GPS 24 HEIGHT 400 THEME Book STARTFROM 245 ]]

60P245 with Octagon 2
(click above to open LifeViewer)
Catagolue: here

x = 39, y = 20, rule = B3/S23
11b2o$11bo2bo3$11bob2o$6b2o2bobo$6bo4bo$o9bo8b2o$3o4bo2bo8b2o$3bo$2b2o
$26b2o$14bo12bo6b2o$3b2o8b3o7b3o8b2o$3b2o6bo12bo$11b2o$35b2o$35bo$18b
2o16b3o$18b2o18bo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ THUMBSIZE 2 ZOOM 12 GPS 24 HEIGHT 400 THEME Book STARTFROM 294 ]]

60P294 with unix
(click above to open LifeViewer)
Catagolue: here

x = 39, y = 21, rule = B3/S23
35b2o$33bob2o$32bo$35bo$31b2obo$31b2o3$o18b2o$3o16b2o$3bo$2b2o$26b2o$
14bo12bo6b2o$3b2o8b3o7b3o8b2o$3b2o6bo12bo$11b2o$35b2o$35bo$18b2o16b3o$
18b2o18bo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ THUMBSIZE 2 ZOOM 12 GPS 24 HEIGHT 400 THEME Book STARTFROM 392 ]]

56P392 with figure eight
(click above to open LifeViewer)
Catagolue: here

x = 39, y = 23, rule = B3/S23
o18b2o$3o16b2o$3bo$2b2o$26b2o$14bo12bo6b2o$3b2o8b3o7b3o8b2o$3b2o6bo12b
o$11b2o$35b2o$35bo$18b2o16b3o$18b2o18bo2$9b2o$9bobob2o2b2o$6b2obo3bob
o2bo$6b2obo3bob3o$9bo3bo$9bobob3o$10bobo3bo$12bo2b2o$12b2o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ THUMBSIZE 2 ZOOM 12 GPS 24 HEIGHT 400 THEME Book STARTFROM 441 ]]

80P441 with p9 thumb
(click above to open LifeViewer)
Catagolue: here

x = 40, y = 25, rule = B3/S23
22b2o11b2o$23bo11bo$22bo13bo$22b2o5bo5b2o$25b2obobob2o$20b5obobobobob
5o$19bo8bobo8bo$20b3ob2ob2ob2ob2ob3o$22b2o11b2o4$o18b2o$3o16b2o$3bo$2b
2o$26b2o$14bo12bo6b2o$3b2o8b3o7b3o8b2o$3b2o6bo12bo$11b2o$35b2o$35bo$
18b2o16b3o$18b2o18bo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ THUMBSIZE 2 ZOOM 12 GPS 24 HEIGHT 400 THEME Book STARTFROM 490 ]]

99P490 with 55P10
(click above to open LifeViewer)
Catagolue: here

References

↑ Chris857 (November 14, 2023). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
↑ ^2.0 ^2.1 Chris857 (November 10, 2023). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
↑ shinjuku (#5529706156) (November 14, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
↑ shinjuku (#5538484473) (November 15, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
↑ KtT (January 21, 2025). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums

mExternal links

44P49 at Adam P. Goucher's Catagolue

[post171092-1] Chris857 (November 14, 2023). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums

[post170816-2] 2.0 ^2.1 Chris857 (November 10, 2023). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums

[j5529706156-3] shinjuku (#5529706156) (November 14, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.

[j5538484473-4] shinjuku (#5538484473) (November 15, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.

[post202097-5] KtT (January 21, 2025). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums

[1]

[2]

[3]

[4]

[5]

@@ Line 10: / Line 10: @@
 |v            = 0.94
 |sv           = 0.94
+|symmetry     = .c
 |discoverer   = Mitchell Riley
 |discoveryear = 2023
@@ Line 19: / Line 20: @@
 |rle          = true
 |viewerconfig = #C [[ HEIGHT 400 WIDTH 640 THUMBSIZE 2 ZOOM 14 GPS 12 ]]
+|synthesis    = 18
 |apgcode      = xp49_32acy6gy033y1ogzx66y2co03y5ew1y23jgzye66yb1226
 }}
 '''44P49''' is a {{period|49}} [[oscillator]] found by [[Mitchell Riley]] on November 14, {{year|2023}}.<ref name="post171092" />
 The oscillator features two unnamed objects [[hassle]]d by four [[block]]s and two [[eater 1]]s.
+The unnamed objects are the same as those in [[Raucci's p102]] and {{LinkCatagolue|code=xp25_35426oz65123y0eey3o62453zy7111y132156|name=45P25|style=raw}}.
+{{EmbedViewer
+|rle          = 3o2$3b2o$2bo2bo$3b2o!
+|viewerconfig = #C [[ GPS 8 THUMBSIZE 2 ]]
+|position     = center
+|caption      = The hassled object evolves from a [[beehive]] and a [[blinker]] that are too close to each other
+|style        = width:300px;
+}}
 With minimum population of {{cells|44|text=44 cells}}, it is the smallest known oscillator of this period.
-==References==
+It also produces [[V spark]]s with a high clearance, allowing for the construction of LCM oscillators.
+A {{gliders|24}} [[Glider synthesis|synthesis]] of 44P49 was completed by [[Chris857]] on the day of discovery,<ref name="post170816" /><ref name="j5529706156" /> which he reduced to {{gliders|20|text=20 gliders}} the next day.<ref name="post170816" /><ref name="j5538484473"/> On January 21, {{year|2025}}, [[KtT]] lowered the cost to {{gliders|18|text=18 gliders}}.<ref name="post202097"/>
+== LCM oscillators ==
+The [[LCM oscillator]]s below are the [[SKOP|smallest known ones by population]] while satisfying the condition that at least one cell oscillates at the full period.
+{{gallery top}}
+{{gallery item|{{EmbedViewer
+|rle          = x = 41, y = 25, rule = B3/S23
+b2o$26b2o3bobo6bo$26b2o3bo2bo4b2o$32bo3bo$34bobo2$34bobo$32bo3bo$26b
+o3bo2bo4b2o$26b2o3bobo6bo$31b2o2$o18b2o$3o16b2o$3bo$2b2o$26b2o$14bo
+bo6b2o$3b2o8b3o7b3o8b2o$3b2o6bo12bo$11b2o$35b2o$35bo$18b2o16b3o$18b
+o18bo!
+|position     = center
+|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 12 GPS 24 HEIGHT 400 THEME Book STARTFROM 98 ]]
+|caption      = 78P98 with [[34P14 shuttle]]
+|style        = width:300px;
+|apgcode      = xp98_64wo0k297x66zo8w60ag4oxoozy411y6ccybg88czy1ccy2628o8y38c80gy2op1zwo8a6ybooy111
+}}}}
+{{gallery item|{{EmbedViewer
+|rle          = x = 39, y = 22, rule = B3/S23
+bo$24bo$24bo$24b2o$27bo$23bo4bo$28bo$24b3o2$o18b2o$3o16b2o$3bo$2b2o$
+b2o$14bo12bo6b2o$3b2o8b3o7b3o8b2o$3b2o6bo12bo$11b2o$35b2o$35bo$18b2o
+b3o$18b2o18bo!
+|position     = center
+|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 12 GPS 24 HEIGHT 400 THEME Book STARTFROM 147 ]]
+|caption      = 56P147 with [[caterer]]
+|style        = width:300px;
+|apgcode      = xp147_178cwoozzy3uey1s112ogggzggx451xoox1z11xoa2zy077zy1ggzy111w31e8
+}}}}
+{{gallery item|{{EmbedViewer
+|rle          = x = 39, y = 17, rule = B3/S23
+b2o$5bo2bo$5bobobo$6bo2bo$o9bo8b2o$3o4bobo9b2o$3bo$2b2o$26b2o$14bo12b
+o6b2o$3b2o8b3o7b3o8b2o$3b2o6bo12bo$11b2o$35b2o$35bo$18b2o16b3o$18b2o
+bo!
+|position     = center
+|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 12 GPS 24 HEIGHT 400 THEME Book STARTFROM 196 ]]
+|caption      = 56P196 with [[mold]]
+|style        = width:300px;
+|apgcode      = xp196_32acy6gy033y1ogzx66y2co03y5ew1y23jgzye66y5eek8g01226zyq1221
+}}}}
+{{gallery item|{{EmbedViewer
+|rle          = x = 39, y = 18, rule = B3/S23
+b4o$6bob2obo$6b2o2b2o$6b2o2b2o$6bob2obo$o6b4o8b2o$3o16b2o$3bo$2b2o$26b
+o$14bo12bo6b2o$3b2o8b3o7b3o8b2o$3b2o6bo12bo$11b2o$35b2o$35bo$18b2o16b
+o$18b2o18bo!
+|position     = center
+|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 12 GPS 24 HEIGHT 400 THEME Book STARTFROM 245 ]]
+|caption      = 60P245 with [[Octagon 2]]
+|style        = width:300px;
+|apgcode      = xp245_y2idiidiz32acx1w1xgy033y1ogzx66y2co03y5ew1y23jgzye66yb1226
+}}}}
+{{gallery item|{{EmbedViewer
+|rle          = x = 39, y = 20, rule = B3/S23
+b2o$11bo2bo3$11bob2o$6b2o2bobo$6bo4bo$o9bo8b2o$3o4bo2bo8b2o$3bo$2b2o
+$26b2o$14bo12bo6b2o$3b2o8b3o7b3o8b2o$3b2o6bo12bo$11b2o$35b2o$35bo$18b
+o16b3o$18b2o18bo!
+|position     = center
+|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 12 GPS 24 HEIGHT 400 THEME Book STARTFROM 294 ]]
+|caption      = 60P294 with [[unix]]
+|style        = width:300px;
+|apgcode      = xp294_32acy6gy033y1ogzx66y2co03y5ew1y23jgzye66y1ggcswoow1226zyl1pp
+}}}}
+{{gallery item|{{EmbedViewer
+|rle          = x = 39, y = 21, rule = B3/S23
+b2o$33bob2o$32bo$35bo$31b2obo$31b2o3$o18b2o$3o16b2o$3bo$2b2o$26b2o$
+bo12bo6b2o$3b2o8b3o7b3o8b2o$3b2o6bo12bo$11b2o$35b2o$35bo$18b2o16b3o$
+b2o18bo!
+|position     = center
+|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 12 GPS 24 HEIGHT 400 THEME Book STARTFROM 392 ]]
+|caption      = 56P392 with [[figure eight]]
+|style        = width:300px;
+|apgcode      = xp392_32acy6gy033y1ogzx66y2co03y5ew1y23jgzye66yb1226zwgk2gb3zw11
+}}}}
+{{gallery item|{{EmbedViewer
+|rle          = x = 39, y = 23, rule = B3/S23
+o18b2o$3o16b2o$3bo$2b2o$26b2o$14bo12bo6b2o$3b2o8b3o7b3o8b2o$3b2o6bo12b
+o$11b2o$35b2o$35bo$18b2o16b3o$18b2o18bo2$9b2o$9bobob2o2b2o$6b2obo3bob
+o2bo$6b2obo3bob3o$9bo3bo$9bobob3o$10bobo3bo$12bo2b2o$12b2o!
+|position     = center
+|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 12 GPS 24 HEIGHT 400 THEME Book STARTFROM 441 ]]
+|caption      = 80P441 with [[p9 thumb]]
+|style        = width:300px;
+|apgcode      = xp441_y5o487p8a6zy2330f840743156zy7ggy133ybca23zwgj3y210262y32328cy266z6221yb66
+}}}}
+{{gallery item|{{EmbedViewer
+|rle          = x = 40, y = 25, rule = B3/S23
+b2o11b2o$23bo11bo$22bo13bo$22b2o5bo5b2o$25b2obobob2o$20b5obobobobob
+o$19bo8bobo8bo$20b3ob2ob2ob2ob2ob3o$22b2o11b2o4$o18b2o$3o16b2o$3bo$2b
+o$26b2o$14bo12bo6b2o$3b2o8b3o7b3o8b2o$3b2o6bo12bo$11b2o$35b2o$35bo$
+b2o16b3o$18b2o18bo!
+|position     = center
+|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 12 GPS 24 HEIGHT 400 THEME Book STARTFROM 490 ]]
+|caption      = 99P490 with [[55P10]]
+|style        = width:300px;
+|apgcode      = xp490_032acy6gy033y1ogzy066y2co03y5ew1y23jgzyf66yb1226z8kkmhm2s4s0s4s2mhmkk8zxmq01101210110qm
+}}}}
+{{gallery bottom}}
+== References ==
 <references>
+<ref name="j5529706156">{{CiteCatagolueJob|job=5529706156|date=November 14, 2023}}</ref>
+<ref name="j5538484473">{{CiteCatagolueJob|job=5538484473|date=November 15, 2023}}</ref>
+<ref name="post170816">{{LinkForumThread
+|format = ref
+|p      = 170816
+|title  = Re: Synthesising Oscillators
+|author = Chris857
+|date   = November 10, 2023<!-- date of post-->
+}}</ref>
 <ref name="post171092">{{LinkForumThread
 |format = ref
@@ Line 34: / Line 154: @@
 |author = Chris857
 |date   = November 14, 2023
+}}</ref>
+<ref name="post202097">{{LinkForumThread
+|format = ref
+|p      = 202097
+|title  = Re: Synthesising Oscillators
+|author = KtT
+|date   = January 21, 2025
 }}</ref>
 </references>
-==See also==
+==mExternal links ==
-==External links==
 * {{LinkCatagolue|xp49_32acy6gy033y1ogzx66y2co03y5ew1y23jgzye66yb1226}}
+{{Sparker|p=49|strength=strong|type=V}}

Difference between revisions of "44P49"

Latest revision as of 00:12, 3 February 2025

LCM oscillators

References

mExternal links

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