Small lake

Small lake
x = 9, y = 9, rule = B3/S23 4bo$3bobo$3bobo$b2o3b2o$o7bo$b2o3b2o$3bobo$3bobo$4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]]
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Pattern type	Strict still life
Number of cells	20
Bounding box	9 × 9
Frequency class	42.5
Static symmetry	D8_1
Discovered by	Unknown
Year of discovery	Unknown
Rules Outer-totalistic rules B/S2 – B3678/S012345678 # of rules 212 = 4096 Isotropic rules B/S2ck – B2ikn34-iw5-y678/S012345678
Glider synthesis Fewest gliders 8 Catagolue-generated RLE synthesis Uploaded synthesis RLE smalllake_synth.rle
Pattern files Plaintext smalllake.cells RLE smalllake.rle
Identifiers apgcode xs20_g8861688gz01168611 Niemiec ID 20.88034 Pentadecathlon ID 20.112242

Small lake is a 20-cell still life. It is similar in structure to lake 2, although it is not a true lake itself due to its four sides that are only a single cell in length.

x = 9, y = 9, rule = B3/S23 4bo$3bobo$3bobo$b3ob3o$o7bo$b3ob3o$3bobo$3bobo$4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] A related still life consisting of four siamese hats (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 9, y = 9, rule = B3/S23 4bo$3bobo$3bobo$b2obob2o$o3bo3bo$b2obob2o$3bobo$3bobo$4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] Another related still life, this one unnamed (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

Construction

Small lake is known to be constructible with 8 gliders.

x = 37, y = 24, rule = B3/S23 3bobo$4b2o$4bo3$10bobo$6bo3b2o$4bobo4bo20bo$5b2o24bobo$31bobo$29b2o3b2o$18bo9bo7bo$16b2o11b2o3b2o$3o14b2o12bobo$2bo28bobo$bo30bo2$15b3o$15bo6b2o$16bo4b2o$23bo$9b2o$8bobo$10bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 450 THEME Book ZOOM 12 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 7 PAUSE 1 T 17 PAUSE 1 T 18 PAUSE 2 LOOP 19 ]] A 8G synthesis (click above to open LifeViewer)

x = 73, y = 73, rule = B3/S23 14bo$12bobo$13b2o10$71bo$70bo$70b3o12$33bo7bo$33bobo4bo$33b2o5b3o2$28bo$26bobo$27b2o$44b3o$44bo$45bo2$27bo$28bo$26b3o$44b2o$44bobo$44bo2$30b3o5b2o$32bo4bobo$31bo7bo12$3o$2bo$bo10$58b2o$58bobo$58bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 450 THEME Book ZOOM 8 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 17 PAUSE 1 T 68 PAUSE 1 T 128 PAUSE 1 T 203 PAUSE 2 LOOP 204 ]] A 12G synthesis (click above to open LifeViewer)

Occurrence

Main article: List of common still lifes

Information on this still life's commonness with respect to other naturally-occurring patterns is currently unknown.

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

In other rules

It occurs frequently in the isotropic rule B3/S235e, evolving from several precedessors of traffic lights. It is also common in Life variants with S4n.

External links

• Small lake at the Life Lexicon
• Small lake at Adam P. Goucher's Catagolue