User:Haycat2009/OCA:Determination

Determination
x=64, y = 64, rule = B2a3i/S12 ! #C [[ THEME Inverse ]] #C [[ RANDOMIZE2 RANDSEED 1729 THUMBLAUNCH THUMBNAIL THUMBSIZE 2 GRID ZOOM 6 WIDTH 600 HEIGHT 600 LABEL 90 -20 2 "#G" AUTOSTART PAUSE 2 GPS 8 LOOP 256 ]] LifeViewer-generated pseudorandom soup
Rulestring	12/2a3i B2a3i/S12
Character	Explosive

Determination is a rule with rulestring B2a3i/S12. It is named such due to having B2a, yet having decent tech. It has a lot of technology dealing with moon, such as rakes, puffers and lasers.

Tech

x = 70, y = 27, rule = B2a3i/S12 o8bo5bo8bo4bo8bo7bo6bo6bo8bo$bo6bo7bo6bo6bo6bo9bo4bo8bo6bo2$2bob2obo9b ob2obo8bob2obo9b2o4b2o8bo4bo$bo6bo7bo6bo6bo6bo11b2o10bo6bo$47bo4bo$16b o6bo3bo12bo5bo6bo7bo6bo$17bo4bo3bo14bo20bo4bo$2bo4bo$3bo2bo10bo4bo8bo 4bo25bob2obo$4b2o12bo2bo10bo2bo25bo6bo$19b2o12b2o$4b2o55bo6bo$3bo2bo12b 2o12b2o27bo4bo$18bo2bo10bo2bo$62bo4bo$61bo6bo2$61bo6bo$62bo4bo2$62bo4b o$63bo2bo$64b2o2$64b2o$63bo2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]]

Guns. Last 2 are infinitely extensible (click above to open LifeViewer)

x = 10, y = 22, rule = B2a3i/S12 3bo2bo$4b2o4$o8bo$bo6bo2$2bo4bo$bo6bo8$o8bo$bo6bo2$2bo4bo$bo6bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]]

Bidirectional duplicator, creates 6 if moon is in dense phrase as it enters or 2 if in sparse phase. (click above to open LifeViewer)

x = 6, y = 20, rule = B2a3i/S12 2bo2bo$3b2o$3b2o5$2bo2bo$3b2o9$bo$o4bo$4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]]

Period-agnostic eater. Yum! (click above to open LifeViewer)

x = 7, y = 19, rule = B2a3i/S12 3bo2bo$4b2o15$o$bo4bo$5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]]

1 lane 180˚ reflector. Proves that oscs of p6+4n exist, n 0 or above. (click above to open LifeViewer)

x = 8, y = 10, rule = B2a3i/S12 3bo2bo$4b2o$o$bo3$7bo$6bo$3bobo$4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]]

Different duplicator, with 90 ˚ output (click above to open LifeViewer)

x = 8, y = 12, rule = B2a3i/S12 o$bo$3bo2bo$4b2o3$bo$o$bo5bo$6bo$3bo$4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]]

Produces 3 moons. (click above to open LifeViewer)

Still-lifes

It can be proven that every polyplet SL in this rule is an SL in the rule B/S12V rotated 45 degrees.

PROOF: B2a3i allows every orthogonal line of cells to expand unless there is a stable covering covering the line. Hence all of the allowed moves are diagonal, hence, every polyplet SL in this rule is a SL in the rule B/S12V rotated 45 degrees.

The smallest non-polyplet SLs in this rule are these:

x = 8, y = 7, rule = B2a3i/S12 bo4bo$o6bo2$2o4b2o2$o5bo$bo5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]]

The smallest 2 nonpolyplet SLs in Determination. (click above to open LifeViewer)

Oscillators

Almost all oscillators are hasslers of an active region.

Reflector-based

Assume n >= 0.

Using the reflectors, oscillators of every period 6+4n are possible.

x = 14, y = 61, rule = B2a3i/S12 2bo$bo$4bo$b2o2bo$2bo$o$bo$4bo$3bo5$2bo$bo$6bo$b2o4bo$2bo$o$bo$6bo$5b o5$2bo$bo$8bo$b2o6bo$2bo$o$bo$8bo$7bo5$2bo$bo$10bo$b2o8bo$2bo$o$bo$10b o$9bo5$2bo$bo$12bo$b2o10bo$2bo$o$bo$12bo$11bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]

Some adjustable oscillators. (click above to open LifeViewer)

In addition, guns of every period 18+4n are possible.

x = 61, y = 9, rule = B2a3i/S12 7bo20bo21bo$6bo3bo16bo5bo15bo7bo$11bo22bo23bo$bobo8bo9bobo10bo8bobo12b o$o2bo9bo7bo2bo11bo6bo2bo13bo$bo10bo9bo12bo8bo14bo$2bo20bo21bo$3bo3bo 16bo5bo15bo7bo$6bo22bo23bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]

Some adjustable guns. (click above to open LifeViewer)

W22

Below are oscillators using the W22 replicator, which is a domino enclosed in a stable covering.

x = 49, y = 190, rule = B2a3i/S12 14bo3bo$26bo$14bo3bo5bobobo$23bo5bo$14bobobo8bo$27bo$18bo4bo5bo$24bob obo$18bo7bo6$7bobo4bobobo$27bobobo$9bo8bo5bobobobo2bo$23bo10bo$9bo4bo bobo12bo$31bo$9bo4bo8bo10bo$24bobobobo2bo$7bobobo2bobobo8bobobo6$14bo bobo$27bobobo$14bo3bo5bobobobobobo$23bo11bo$14bobobo12bo$31bo$14bo3bo 4bo11bo$24bobobobobobo$14bobobo8bobobo6$14bobobo$27bobobobo$14bo9bobo bobobo2bo$23bo12bo$14bobobo9b4o$28b4o$18bo4bo12bo$24bobobobobo2bo$14b obobo8bobobobo6$7bobobo2bobobo$27bobobobo$11bo2bo3bo5bobobobobobobo$23b o13bo$7bobobo2bobobo16bo$35bo$7bo6bo3bo4bo13bo$24bobobobobobobo$7bobo bo2bobobo8bobobobo6$7bobobo2bobobo$27bobobobobo$11bo2bo9bobobobobobob obo$23bo15bo$7bobobo2bobobo13b4o$32b4o$7bo10bo4bo15bo$24bobobobobobob obo$7bobobo2bobobo8bobobobobo6$7bobo4bobobo8bobobobobobo$24bobobobobo bobobobo$9bo4bo8bo17bo$31bo3b3o$9bo4bobobo12bo3b3o$23bo17bo$9bo8bo5bo bobobobobobobobo$27bobobobobobo$7bobobo2bobobo6$7bobobo2bo3bo8bobobob obobobo$24bobobobobobobobo2bo$11bo2bo3bo4bo18bo$34b2o2bo$7bobobo2bobo bo15b2o2bo$23bo18bo$7bo10bo5bobobobobobobobo2bo$27bobobobobobobo$7bob obo6bo6$obo4bobobo2bo3bo8bobobobobobobobo$24bobobobobobobobobobobo$2b o8bo2bo3bo4bo21bo$43bo$2bo4bobobo2bobobo24bo$23bo21bo$2bo4bo10bo5bobo bobobobobobobobobo$27bobobobobobobobo$obobo2bobobo6bo6$7bobobo2bobobo 8bobobobobobobobo$24bobobobobobobobobobobo$7bo10bo4bo21bo$32bo4bo$7bo bobo2bobobo13bo4bo$23bo21bo$11bo2bo9bobobobobobobobobobobo$27bobobobo bobobobo$7bobobo2bobobo6$7bobo4bobobo8bobobobobobobobo$24bobobobobobo bobobobobo$9bo4bo8bo21bo$31bobo3bo3bo$9bo4bobobo12bobo3bo3bo$23bo21bo $9bo4bo3bo5bobobobobobobobobobobo$27bobobobobobobobo$7bobobo2bobobo5$ obo4bobobo2bobobo8bobobobobobobobobo$24bobobobobobobobobobobobo$2bo8b o6bo4bo23bo$35b4o3b3o$2bo4bobobo2bobobo16b4o3b3o$23bo23bo$2bo8bo2bo9b obobobobobobobobobobobo$27bobobobobobobobobo$obobo2bobobo2bobobo6$7bo bo4bobobo8bobobobobobobobobo$24bobobobobobobobobobobobo$9bo4bo3bo4bo23b o$34b2o3bob3o$9bo4bobobo15b2o3bob3o$23bo23bo$9bo8bo5bobobobobobobobob obobobo$27bobobobobobobobobo$7bobobo2bobobo6$7bobobo2bobobo8bobobobob obobobobobo$24bobobobobobobobobobobo2bo$11bo6bo4bo24bo$34bo3b3obo$7bo bobo2bobobo15bo3b3obo$23bo24bo$11bo6bo5bobobobobobobobobobobo2bo$27bo bobobobobobobobobo$7bobobo2bobobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 1024 WIDTH 768 ]]

Some oscillators using the W22 replicator. (click above to open LifeViewer)