Inflexion: Difference between revisions

	Inflexion
	<span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Inflexion.png" class="mw-file-description" title="Inflexion image"><img alt="Inflexion image" src="/w/images/1/14/Inflexion.png" decoding="async" width="146" height="98" class="mw-file-element"></a></span>
	<span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Inflexion.png" class="mw-file-description" title="Inflexion image"><img alt="Inflexion image" src="/w/images/1/14/Inflexion.png" decoding="async" width="146" height="98" class="mw-file-element"></a></span>
	View static image
Pattern type	Strict still life
Number of cells	12
Bounding box	8 × 4
Frequency class	34.1
Static symmetry	.e (C2_2)
Discovered by	Robert Wainwright; Everett Boyer
Year of discovery	1973
Rules
Outer-totalistic rules	B/S23 – B35678/S012345678
# of rules	212 = 4096
Isotropic rules	B/S2-i3n – B2cin34-jry5678/S012345678
Glider synthesis
Fewest gliders	6
Catagolue-generated RLE	synthesis
Pattern files
Plaintext	inflexion.cells
RLE	inflexion.rle
Identifiers
apgcode	xs12_35861ac
Niemiec ID	12.95
Pentadecathlon ID	12.21

Latest revision as of 15:18, 9 August 2024

The inflexion is a 12-cell still life.

Construction

This still life is known to be constructible with 6 gliders.^[1]

x = 45, y = 27, rule = B3/S23
20bo$20bobo$20b2o$24bo$2bo21bobo$obo21b2o$b2o3$38b2o2bo$38bo2bobo$39b
obo2bo$40bo2b2o8$4b3o$6bo$5bo$20b2o$20bobo3b2o$20bo4b2o$27bo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ HEIGHT 400 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 45 PAUSE 2 LOOP 46 ]]

A 6G synthesis
(click above to open LifeViewer)

x = 123, y = 124, rule = B3/S23
122bo$120b2o$121b2o2$2bo$obo$b2o59$71b2o2bo$71bo2bobo$72bobo2bo$40bobo
4bo25bo2b2o$41b2o5bo$41bo4b3o5$43b2o$42bobo$44bo17$52b3o$52bo$53bo25$
119b2o$119bobo$119bo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ HEIGHT 400 THEME Book ZOOM 10 X -6 Y 8 AUTOSTART GPS 12 T 0 PAUSE 3 T 202 PAUSE 1 T 241 PAUSE 2 LOOP 242 ]]

A 7G synthesis^[2] (the first stage is 4G snake with feather found in 2017^[3])
(click above to open LifeViewer)

x = 46, y = 91, rule = B3/S23
9bo$10b2o$9b2o17bo$28bobo$28b2o7bo$7bo27b2o$5bobo28b2o$6b2o2$28bobo$
28b2o$29bo4$39b2o2bo$39bo2bobo$40bobo2bo$13b2o26bo2b2o$12bobo$14bo4$
39b3o$34b2o3bo$34bobo3bo$34bo5$10bo$11bo12bobo$9b3o12b2o$25bo$34bo$8bo
24bo$9bo4bo18b3o$7b3o5b2o$14b2o5$39b2o2bo$39bo2bobo$40bobo2bo$41bo2b2o
3$10bo27bo$10b2o25b2o$9bobo20b2o3bobo$31b2o$33bo4$o$b2o$2o3$20bo$18bob
o16bo$19b2o15bo$36b3o3$32bobo$32b2o$7bo25bo$7b2o5b3o$6bobo5bo$15bo23b
2o2bo$39bo2bobo$40bobo2bo$41bo2b2o4$13b3o$15bo$14bo4$19b3o$21bo$20bo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ HEIGHT 1000 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 10 PAUSE 1 T 39 PAUSE 1 T 40 PAUSE 3 LOOP 41 ]]

Three 8G syntheses^[4]
(click above to open LifeViewer)

Occurrence

Among the 121 still lifes with 12 cells, this is the 107th most common still life according to Catagolue.

There are no collisions in octohash, octo3obj or octo3g databases with this still life occurring in the ash.

References

↑ xs12_35861ac at Adam P. Goucher's Catagolue
↑ xs12_35861ac (archived copy)
↑ Simon Ekström (August 16, 2017). Re: 4 glider syntheses (discussion thread) at the ConwayLife.com forums
↑ The 121 twelve-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 12/12-95.rle)

External links

Inflexion at Adam P. Goucher's Catagolue
12.21 at Heinrich Koenig's Game of Life Object Catalogs

[catagolue_object-1] xs12_35861ac at Adam P. Goucher's Catagolue

[2] xs12_35861ac (archived copy)

[post48924-3] Simon Ekström (August 16, 2017). Re: 4 glider syntheses (discussion thread) at the ConwayLife.com forums

[niemiec-4] The 121 twelve-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 12/12-95.rle)

[1]

[2]

[3]

[4]

@@ Line 5: / Line 5: @@
 |bx               = 8
 |by               = 4
+|fc               = 34.1
+|symmetry         = .e
+|discoverer       = Robert Wainwright
+|discoverer2      = Everett Boyer
+|discoveryear     = 1973
 |rulemin          = B/S23
-|rulespecial      = [[Conway's Game of Life|Conway Life]]
+|rulemax          = B35678/S012345678
+|rulespecial      = [[Conway's Game of Life|Conway Life]], [[HighLife]]
+|isorulemin       = B/S2-i3n
+|isorulemax       = B2cin34-jry5678/S012345678
+|synthesis        = 6
+|plaintext        = true
 |rle              = true
 |apgcode          = xs12_35861ac
-}}{{stub}}
+|niemiecid        = 12.95
-The '''inflexion''' is a [[still life]] with [[:Category:Strict still lifes with 12 cells|12]] cells, and the 107th most common such still life according to [[Catagolue]].
+|pentadecathlonid = 12.21
+}}
+The '''inflexion''' is a {{slcells|12|text=12-cell}} [[still life]].
-==External links==
+== Construction ==
-{{LinkCatagolue|xs12_35861ac}}
+This still life is known to be [[Glider synthesis|constructible]] with {{gliders|6|text=6 gliders}}.<ref name="catagolue_object" />
+{| style="margin:auto;width:300px"
+|{{EmbedViewer
+|rle          = x = 45, y = 27, rule = B3/S23
+bo$20bobo$20b2o$24bo$2bo21bobo$obo21b2o$b2o3$38b2o2bo$38bo2bobo$39b
+obo2bo$40bo2b2o8$4b3o$6bo$5bo$20b2o$20bobo3b2o$20bo4b2o$27bo!
+|viewerconfig = #C [[ HEIGHT 400 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 45 PAUSE 2 LOOP 46 ]]
+|position     = center
+|caption      = A 6G synthesis
+}}
+|{{EmbedViewer
+|rle          = x = 123, y = 124, rule = B3/S23
+bo$120b2o$121b2o2$2bo$obo$b2o59$71b2o2bo$71bo2bobo$72bobo2bo$40bobo
+bo25bo2b2o$41b2o5bo$41bo4b3o5$43b2o$42bobo$44bo17$52b3o$52bo$53bo25$
+b2o$119bobo$119bo!
+|viewerconfig = #C [[ HEIGHT 400 THEME Book ZOOM 10 X -6 Y 8 AUTOSTART GPS 12 T 0 PAUSE 3 T 202 PAUSE 1 T 241 PAUSE 2 LOOP 242 ]]
+|position     = center
+|caption      = A 7G synthesis<ref>[https://web.archive.org/web/20210716181144/https://catagolue.hatsya.com/object/xs12_35861ac/b3s23/ xs12_35861ac] (archived copy)</ref> (the first stage is 4G [[snake with feather]] found in {{year|2017}}<ref name="post48924" />)
+}}
+|-
+|{{EmbedViewer
+|rle          = x = 46, y = 91, rule = B3/S23
+bo$10b2o$9b2o17bo$28bobo$28b2o7bo$7bo27b2o$5bobo28b2o$6b2o2$28bobo$
+b2o$29bo4$39b2o2bo$39bo2bobo$40bobo2bo$13b2o26bo2b2o$12bobo$14bo4$
+b3o$34b2o3bo$34bobo3bo$34bo5$10bo$11bo12bobo$9b3o12b2o$25bo$34bo$8bo
+bo$9bo4bo18b3o$7b3o5b2o$14b2o5$39b2o2bo$39bo2bobo$40bobo2bo$41bo2b2o
+$10bo27bo$10b2o25b2o$9bobo20b2o3bobo$31b2o$33bo4$o$b2o$2o3$20bo$18bob
+o16bo$19b2o15bo$36b3o3$32bobo$32b2o$7bo25bo$7b2o5b3o$6bobo5bo$15bo23b
+o2bo$39bo2bobo$40bobo2bo$41bo2b2o4$13b3o$15bo$14bo4$19b3o$21bo$20bo!
+|viewerconfig = #C [[ HEIGHT 1000 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 10 PAUSE 1 T 39 PAUSE 1 T 40 PAUSE 3 LOOP 41 ]]
+|position     = center
+|caption      = Three 8G syntheses<ref name="niemiec" />
+}}
+|}
+== Occurrence ==
+Among the 121 still lifes with 12 cells, this is the 107th [[List of common still lifes|most common still life]] according to [[Catagolue]].
+There are no collisions in [[Octohash database|octohash]], octo3obj or octo3g databases with this still life occurring in the ash.
+== References ==
+<references>
+<ref name="post48924">{{LinkForumThread
+|format  = ref
+|p       = 48924
+|title   = Re: 4 glider syntheses
+|author  = Simon Ekström
+|date    = August 16, 2017
+}}</ref>
+<ref name="catagolue_object">{{LinkCatagolue|xs12_35861ac|style=nobullet}}</ref>
+<ref name="niemiec">{{LinkNiemiec|p1-12.htm|The 121 twelve-bit still-lifes|rle=12/12-95.rle|nobullet=nobullet}}</ref>
+</references>
+== External links ==
+* {{LinkCatagolue|xs12_35861ac}}
+* {{LinkPentadecathlonObject|12.21}}
+__NOTOC__