Oscillator Discussion Thread

[Sokwe]

Code: Select all

x = 12, y = 9, rule = B3/S23:T24,0
b2o6b2o$3o6b3o$b2o6b2o4$b2o6b2o$3o6b3o$b2o6b2o!

I like this pre-pulsar based oscillator on a cylinder and its extensibility

Code: Select all

x = 18, y = 97, rule = B3/S23:T24,0
2$2o14b2o$3o12b3o$2o14b2o4$b2o12b2o$3o12b3o$b2o12b2o4$b2o12b2o$3o12b3o
$b2o12b2o4$b2o12b2o$3o12b3o$b2o12b2o4$b2o12b2o$3o12b3o$b2o12b2o4$b2o12b
2o$3o12b3o$b2o12b2o4$b2o12b2o$3o12b3o$b2o12b2o4$b2o12b2o$3o12b3o$b2o12b
2o4$b2o12b2o$3o12b3o$b2o12b2o4$b2o12b2o$3o12b3o$b2o12b2o4$b2o12b2o$3o
12b3o$b2o12b2o4$b2o12b2o$3o12b3o$b2o12b2o4$b2o12b2o$3o12b3o$b2o12b2o4$
b2o12b2o$3o12b3o$b2o12b2o4$b2o12b2o$3o12b3o$b2o12b2o4$2o14b2o$3o12b3o
$2o14b2o!

These are the basis for shuttles originally found (I assume) by David Buckingham in 1973 and reported in a reader article by Mark Niemiec in Lifeline Volume 11 (see here). Note that the image in Lifeline doesn't quite work, as the top queen bee is one cell too high. Here is the corrected pattern:

Code: Select all

x = 51, y = 48, rule = B3/S23
26b2o$26b2o11$24b2o3b2o$26b3o$10bobo12bo3bo8bobo$10bo3bo11bobo7bo3bo$
14bo12bo8bo$2o8bo4bo19bo4bo8b2o$2o12bo21bo12b2o$10bo3bo3b3o3b3o3b3o3bo
3bo$10bobo25bobo$16bo4bobo3bobo4bo$16bo4bobo3bobo4bo$16bo4bobo3bobo4bo
2$18b3o3b3o3b3o2$9bobo27bobo$7bo3bo27bo3bo$2o5bo35bo5b2o$2o4bo4bo27bo
4bo4b2o$7bo35bo$7bo3bo27bo3bo$9bobo27bobo5$24b2o3b2o$26b3o$25bo3bo$26b
obo$27bo4$26b2o$26b2o!

This version can be extended to a length-4 form, but no further as the queen bees would be too close together:

Code: Select all

x = 57, y = 48, rule = B3/S23
23b2o7b2o$23b2o7b2o11$20b2o3b2o3b2o3b2o$22b3o7b3o$10bobo8bo3bo5bo3bo8b
obo$10bo3bo7bobo7bobo7bo3bo$14bo8bo9bo8bo$2o8bo4bo25bo4bo8b2o$2o12bo
27bo12b2o$10bo3bo3b3o3b3o3b3o3b3o3bo3bo$10bobo31bobo$16bo4bobo3bobo3bo
bo4bo$16bo4bobo3bobo3bobo4bo$16bo4bobo3bobo3bobo4bo2$18b3o3b3o3b3o3b3o
2$9bobo33bobo$7bo3bo33bo3bo$2o5bo41bo5b2o$2o4bo4bo33bo4bo4b2o$7bo41bo$
7bo3bo33bo3bo$9bobo33bobo5$20b2o3b2o3b2o3b2o$22b3o7b3o$21bo3bo5bo3bo$
22bobo7bobo$23bo9bo4$23b2o7b2o$23b2o7b2o!

The Lifeline article mentions that it can also be done with pentadecathlons, and indeed this is true for lengths up to 5:

Code: Select all

x = 63, y = 44, rule = B3/S23
23bo7bo7bo$23bo7bo7bo2$23bo7bo7bo$22bobo5bobo5bobo2$22b3o5b3o5b3o3$22b
3o5b3o5b3o2$22bobo5bobo5bobo$10bobo10bo7bo7bo10bobo$10bo3bo33bo3bo$14b
o8bo7bo7bo8bo$2o8bo4bo7bo7bo7bo7bo4bo8b2o$2o12bo33bo12b2o$10bo3bo3b3o
3b3o3b3o3b3o3b3o3bo3bo$10bobo37bobo$16bo4bobo3bobo3bobo3bobo4bo$16bo4b
obo3bobo3bobo3bobo4bo$16bo4bobo3bobo3bobo3bobo4bo2$18b3o3b3o3b3o3b3o3b
3o2$9bobo39bobo$7bo3bo39bo3bo$2o5bo47bo5b2o$2o4bo4bo11bo7bo7bo11bo4bo
4b2o$7bo15bo7bo7bo15bo$7bo3bo39bo3bo$9bobo11bo7bo7bo11bobo$22bobo5bobo
5bobo2$22b3o5b3o5b3o3$22b3o5b3o5b3o2$22bobo5bobo5bobo$23bo7bo7bo2$23bo
7bo7bo$23bo7bo7bo!

In August 1980 Buckingham found a way to replace the queen bees at the ends with tubs, giving eureka and its extensions:

Code: Select all

x = 31, y = 44, rule = B3/S23
7bo7bo7bo$7bo7bo7bo2$7bo7bo7bo$6bobo5bobo5bobo2$6b3o5b3o5b3o3$6b3o5b3o
5b3o2$6bobo5bobo5bobo$7bo7bo7bo$2bo25bo$bobo3bo7bo7bo3bobo$2bo4bo7bo7b
o4bo2$2b3o3b3o3b3o3b3o3b3o2$o4bobo3bobo3bobo3bobo4bo$o4bobo3bobo3bobo
3bobo4bo$o4bobo3bobo3bobo3bobo4bo2$2b3o3b3o3b3o3b3o3b3o5$2bo4bo7bo7bo
4bo$bobo3bo7bo7bo3bobo$2bo25bo$7bo7bo7bo$6bobo5bobo5bobo2$6b3o5b3o5b3o
3$6b3o5b3o5b3o2$6bobo5bobo5bobo$7bo7bo7bo2$7bo7bo7bo$7bo7bo7bo!

I don't remember if there is a nice fixed-width form for longer extensions (Edit: there is, see bottom of this post), but they can at least be supported by the shorter extensions like so:

Code: Select all

x = 43, y = 68, rule = B3/S23
13bo7bo7bo$13bo7bo7bo2$13bo7bo7bo$12bobo5bobo5bobo2$12b3o5b3o5b3o3$12b
3o5b3o5b3o2$12bobo5bobo5bobo$13bo7bo7bo$8bo25bo$7bobo3bo7bo7bo3bobo$8b
o4bo7bo7bo4bo5$8b3o3b3o3b3o3b3o3b3o2$6bo4bobo3bobo3bobo3bobo4bo$6bo4bo
bo3bobo3bobo3bobo4bo$6bo4bobo3bobo3bobo3bobo4bo$2bo37bo$bobo4b3o3b3o3b
3o3b3o3b3o4bobo$2bo37bo2$2b3o3b3o3b3o3b3o3b3o3b3o3b3o2$o4bobo3bobo3bob
o3bobo3bobo3bobo4bo$o4bobo3bobo3bobo3bobo3bobo3bobo4bo$o4bobo3bobo3bob
o3bobo3bobo3bobo4bo2$2b3o3b3o3b3o3b3o3b3o3b3o3b3o5$2bo37bo$bobo35bobo$
2bo37bo2$8b3o3b3o3b3o3b3o3b3o2$6bo4bobo3bobo3bobo3bobo4bo$6bo4bobo3bob
o3bobo3bobo4bo$6bo4bobo3bobo3bobo3bobo4bo2$8b3o3b3o3b3o3b3o3b3o2$8bo4b
o7bo7bo4bo$7bobo3bo7bo7bo3bobo$8bo25bo$13bo7bo7bo$12bobo5bobo5bobo2$
12b3o5b3o5b3o3$12b3o5b3o5b3o2$12bobo5bobo5bobo$13bo7bo7bo2$13bo7bo7bo$
13bo7bo7bo!

Does anyone know of a fixed-width stabilization for arbitrary lengths?

Edit: of course there's a simple fixed-width stabilization for arbitrary lengths:

Code: Select all

x = 67, y = 44, rule = B3/S23
59bo$12bo11bo11bo11bo10bo$12bo11bo11bo11bo$59bo$12bo11bo11bo11bo9bobo$
11bobo9bobo9bobo9bobo$58b3o$11b3o9b3o9b3o9b3o2$58b3o$11b3o9b3o9b3o9b3o
$58bobo$11bobo9bobo9bobo9bobo9bo$2bo9bo11bo11bo11bo15bo$bobo55bo3bobo$
2bo9bo11bo11bo11bo10bo4bo$12bo11bo11bo11bo$2b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o2$o4bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o4bo$o4bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo4bo$o4bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo4bo2$2b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o4$12bo11bo11bo11bo$2bo9bo11bo11bo11bo10bo4bo$bobo
55bo3bobo$2bo9bo11bo11bo11bo15bo$11bobo9bobo9bobo9bobo9bo$58bobo$11b3o
9b3o9b3o9b3o$58b3o2$11b3o9b3o9b3o9b3o$58b3o$11bobo9bobo9bobo9bobo$12bo
11bo11bo11bo9bobo$59bo$12bo11bo11bo11bo$12bo11bo11bo11bo10bo$59bo!

[Entity Valkyrie 2]

New p13 domino sparker found by Mitchell Riley. Minpop on the left, clearance on the right.

Code: Select all

x = 24, y = 13, rule = B3/S23
bo$b3o16b2o$4bo14bo2bo$3bo7b2o7bobo$3b2o4bo4bo4b2ob2o$8bo6bo$3b2o3bo6b
o3b2ob2o$3bo4b2o4b2o4bobo$2obo16bobo$2ob2o5bo2bo5b2ob2o$3bo16bo$3bobo
12bobo$4b2o12b2o!

SKOP 117, at 96 cells:

Code: Select all

x = 24, y = 21, rule = B3/S23
9b2o$9bo2b2o$7bobo3bo$6bobob3o$6bo3bo$3b2obo3bob3o$3b2obo3bobo2bo$6bob
ob2o2b2o$bo4b2o14bo$b3o16b3o$4bo14bo$3bo16bo$3b2o14b2o$8b2o4b2o$3b2o2b
2o6b2o2b2o$3bo4b2o4b2o4bo$2obo5bo4bo5bob2o$2ob2o14b2ob2o$3bo16bo$3bobo
12bobo$4b2o12b2o!

[JP21]

Here’s a p70 by mvr:

Code: Select all

rle

Minor reduction:

Code: Select all

x = 44, y = 34, rule = B3/S23
14b2ob2o2bo$15bobo3b3o$14bo3b3o3bo$15b3o3bob2o$17bob2o$18bobob2obo$21b
2ob2o4b2o$30bo$17bo14bo$14bobobo12b2o$14bo2b2o11bo$26b2o2b3o$5b2o19b2o
5bo$5b2o25b2o$36b2o$36bobob2o$2o2b2o32bobo2bo$o2bobo32b2o2b2o$2b2obobo
$6b2o$10b2o25b2o$10bo5b2o19b2o$11b3o2b2o$13bo11b2o2bo$11b2o12bobobo$
11bo14bo$13bo$12b2o4b2ob2o$18bob2obobo$23b2obo$19b2obo3b3o$19bo3b3o3bo
$20b3o3bobo$22bo2b2ob2o!

[PHPBB12345]

Edit: of course there's a simple fixed-width stabilization for arbitrary lengths:

Code: Select all

x = 67, y = 44, rule = B3/S23
59bo$12bo11bo11bo11bo10bo$12bo11bo11bo11bo$59bo$12bo11bo11bo11bo9bobo$
11bobo9bobo9bobo9bobo$58b3o$11b3o9b3o9b3o9b3o2$58b3o$11b3o9b3o9b3o9b3o
$58bobo$11bobo9bobo9bobo9bobo9bo$2bo9bo11bo11bo11bo15bo$bobo55bo3bobo$
2bo9bo11bo11bo11bo10bo4bo$12bo11bo11bo11bo$2b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o2$o4bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o4bo$o4bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo4bo$o4bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo4bo2$2b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o4$12bo11bo11bo11bo$2bo9bo11bo11bo11bo10bo4bo$bobo
55bo3bobo$2bo9bo11bo11bo11bo15bo$11bobo9bobo9bobo9bobo9bo$58bobo$11b3o
9b3o9b3o9b3o$58b3o2$11b3o9b3o9b3o9b3o$58b3o$11bobo9bobo9bobo9bobo$12bo
11bo11bo11bo9bobo$59bo$12bo11bo11bo11bo$12bo11bo11bo11bo10bo$59bo!

It's an extension of Pulshuttle V

[Sokwe]

Edit: of course there's a simple fixed-width stabilization for arbitrary lengths:

It's an extension of Pulshuttle V

Not exactly. The pentadecathlons are positioned differently so that they delete two traffic lights instead of one, allowing arbitrary extensions (Pulshuttle V cannot be extended beyond 5 traffic lights). This was almost certainly previously known, but I don't have a reference for it. If anyone has such a reference, please post it here.

[AlbertArmStain]

Minor reduction:

Code: Select all

x = 44, y = 34, rule = B3/S23
14b2ob2o2bo$15bobo3b3o$14bo3b3o3bo$15b3o3bob2o$17bob2o$18bobob2obo$21b
2ob2o4b2o$30bo$17bo14bo$14bobobo12b2o$14bo2b2o11bo$26b2o2b3o$5b2o19b2o
5bo$5b2o25b2o$36b2o$36bobob2o$2o2b2o32bobo2bo$o2bobo32b2o2b2o$2b2obobo
$6b2o$10b2o25b2o$10bo5b2o19b2o$11b3o2b2o$13bo11b2o2bo$11b2o12bobobo$
11bo14bo$13bo$12b2o4b2ob2o$18bob2obobo$23b2obo$19b2obo3b3o$19bo3b3o3bo
$20b3o3bobo$22bo2b2ob2o!

Why did you change almost every catalyst?

Code: Select all

x = 44, y = 34, rule = B3/S23
14b2ob2o2bo$15bobo3b3o$14bo3b3o3bo$15b3o3bob2o$17bob2o$18bobob2obo$21b
2ob2o5b2o$31bo$17bo14bo$14bobobo12b2o$14bo2b2o11bo$26b2o2b3o$5b2o19b2o
5bo$5b2o25b2o$36b2o$36bobob2obo$4b2o32bobob2o$2obobo32b2o$ob2obobo$6b
2o$10b2o25b2o$10bo5b2o19b2o$11b3o2b2o$13bo11b2o2bo$11b2o12bobobo$11bo
14bo$12bo$11b2o5b2ob2o$18bob2obobo$23b2obo$19b2obo3b3o$19bo3b3o3bo$20b
3o3bobo$22bo2b2ob2o!

[JP21]

Why did you change almost every catalyst?

Personal preference.

[mniemiec]

Minor reduction: ...

Why did you change almost every catalyst? ...

When all other things are equal (e.g. population and bounding box), it's often advantageous to make stators as unobtrusive as possible in case the pattern will be included in a larger construction. E.g. in this case, carriers in all four places makes the pattern narrower by one glider lane each at bottom left and top right.

[AlbertArmStain]

When all other things are equal (e.g. population and bounding box), it's often advantageous to make stators as unobtrusive as possible in case the pattern will be included in a larger construction. E.g. in this case, carriers in all four places makes the pattern narrower by one glider lane each at bottom left and top right.

What if people wanted better clearance for the dot spark?

[hotdogPi]

p56 lumps of muck shuttle; can't find anything smaller than 180P8 that works

Code: Select all

x = 79, y = 24, rule = B3/S23
34bo7bo17b2o$34b3o3b2o14b2obo2bo3bo2bo2bo$37bo4b2o13bob3obo2b7o$36b2o
3bo12b3o6bo13b2o$17b2o35bo2b6ob11o2bo$6bo2bo2bo3bo2bob2o32bo4bobobo5bo
4bobo$6b7o2bob3obo16b3o17b2o3bo3b2o4bobob2o$2o13bo6b3o13bobo4bob5o8b2o
4bo2bo2bo5bo$bo2b11ob6o2bo12bo2bo11b2obo3b2o5bo6b2ob2o$bobo2bo5bo3bo5b
o14bobo4bo9bo2bo8bo7bobo$2ob3o3b2o3b2o2b4o8b2o5b3o4bo9bo2bo8bo7bobo$o
4bo2bo2bo6b3o7bo2bo20b2obo3b2o5bo6b2ob2o$b2ob2o2bo17b3o16bob5o8b2o4bo
2bo2bo5bo$2bobo3bo13b2obo2bob2o26b2o3bo3b2o4bobob2o$2bobo3bo13b2obo2bo
b2o23bo4bobobo5bo4bobo$b2ob2o2bo17b3o25bo2b6ob11o2bo$o4bo2bo2bo6b3o7bo
2bo22b3o6bo13b2o$2ob3o3b2o3b2o2b4o8b2o25bob3obo2b7o$bobo2bo5bo3bo5bo
33b2obo2bo3bo2bo2bo$bo2b11ob6o2bo35b2o$2o13bo6b3o12bo3b2o$6b7o2bob3obo
13b2o4bo$6bo2bo2bo3bo2bob2o14b2o3b3o$17b2o17bo7bo!

Partials:

p15

Code: Select all

x = 22, y = 54, rule = B3/S23
8b2o$8bobo$10bo$10bob2o$8bobobo$4b2o6bo$4bobo3b2o$7bo$5b2obo$4bo2b2o$
4b3o$2b2o3bo$bo2b2o3bobo$b2obo3bo3bo5bo$4bo2bo4bo3b3o$4b2o2b4o3bo$15b
2o2$13bo$12b3o$11b5o$10b2o3b2o3bo$9b3o3b3o2bo$10b2o3b2o2b3o$11b5o3b2o$
bo10b3o4b2o$bo11bo5b3o$3o5bo11bo$b2o4b3o10bo$b2o3b5o$3o2b2o3b2o$bo2b3o
3b3o$bo3b2o3b2o$6b5o$7b3o$8bo2$5b2o$6bo3b4o2b2o$3b3o3bo4bo2bo$3bo5bo3b
o3bob2o$10bobo3b2o2bo$14bo3b2o$15b3o$13b2o2bo$13bob2o$14bo$10b2o3bobo$
9bo6b2o$9bobobo$8b2obo$11bo$11bobo$12b2o!

p16, two ways shown

Code: Select all

x = 46, y = 14, rule = B3/S23
5bobo29bo2bo$3b7o25b8o$5b3o29b4o$bo31bo$bo5b4o22bo7bo$3o7b2o20b3o5bo2b
o$b2o9bo20b2o5bo2b3o$3obo5b2o21b2o$bo2bo4b3o20b3o2b2o6bo$bo2bo3bobo22b
o2bo5b3o$4b2ob3o23bo7bo$5bob2o28b2o2bo$6bo31bo2bo$38bobo!

p25

Code: Select all

x = 31, y = 28, rule = B3/S23
17bo$17b3o7b2o$20bo6b2o$13b2o4bo$14bo4bo2bo$14bobo$15b2o$19bo5b2o$3bo
15bo2bo2b2ob2o$3b3o7b2o5b3o4bo$6bo6b2o4b3o8bo$b4obo6b2o$o2bob2ob2o4bo$
2o2b3o5b2obo$7bo2bo4bo$6bobobo11bo$5bo2bobobo2bo4bo3bo$5b2o2b2ob4o$11b
o7bo5bo$11bobo3b3ob3ob3o$12b2o2bo3b2ob2o3bo$16bob3obob4o$17bo$19bobobo
b2obo$18b2ob3obob2o$19bobo2bo$19bo2b2o$18b2o!

p26

Code: Select all

x = 16, y = 16, rule = B3/S23
5b2o$5b2o$5b2o$5b3o$5bobo4b2o$5o2bo4b3o$4o4b3o2b2o$3b3o4bo$6bo2b2o$6bo
bo5b2o$6b3o5b2o4$9b2o$9b2o!

p27

Code: Select all

x = 24, y = 44, rule = B3/S23
2o$obo$2bo2b2o$2bobo2bo$b2o2bo2bo$2bobobobo$o2bob2obob2o$2obo4bobo$bob
o4bobo$bobob4ob2o$2bo5bo$3b2obo3b2o$6bob2obo4$9b2o$8bo2bo7b2o$9bo5b2ob
3o$12b2o4b4o$13bobo2b3o$14bo4b2o$3b2o4bo$3b3o2bobo$2b4o4b2o$3b3ob2o5bo
$3b2o7bo2bo$13b2o4$12bob2obo$12b2o3bob2o$15bo5bo$12b2ob4obobo$13bobo4b
obo$13bobo4bob2o$12b2obob2obo2bo$15bobobobo$15bo2bo2b2o$16bo2bobo$17b
2o2bo$21bobo$22b2o!

p30

Code: Select all

x = 14, y = 14, rule = B3/S23
6bo2bo$4b8o$6b4o2$bo8b3o$bo8bobo$3o6b2obo$b2o6bo2bo$b2o6bo3bo$3o3b3o3b
o$bo2b3o4bo$bo2bo5bo$4b4obo$8bo!

p40; several spark configurations work

Code: Select all

x = 24, y = 23, rule = B3/S23
8bo7bo$8b3o3b2o$11bo4b2o3b2o$10b2o3bo4b3o$20b4o$20b4o$20b3o$8b3o4bo2bo
2b2o$8bobo3bo3bo$7b2o5bo2bo$7b2o$7b2o6b2o$15b2o$6bo2bo5b2o$5bo3bo3bobo
$b2o2bo2bo4b3o$b3o$4o$4o$b3o4bo3b2o$b2o3b2o4bo$8b2o3b3o$7bo7bo!

p40

Code: Select all

x = 20, y = 9, rule = B3/S23
5b2o6b2o2$3bo3bo4bo3bo$3bo3bo4bo3bo$2bo14bo$2b2obo8bob2o$2b2o12b2o$ob
2o12b2obo$2b2o12b2o!

p42

Code: Select all

x = 30, y = 20, rule = B3/S23
25b2o$24b3o$3bo7bo8b3ob4o$3b3o3b2o13b3o$6bo4b2o8b2o2b2o$5b2o3bo11bo$2o
$bo9bo$bobo3b2o2bo3b3o2b2ob2o$2b3o2bobo5b2o3bob4o$4b4obo3b2o5bobo2b3o$
5b2ob2o2b3o3bo2b2o3bobo$18bo9bo$28b2o$7bo11bo3b2o$3b2o2b2o8b2o4bo$3b3o
13b2o3b3o$2b4ob3o8bo7bo$3b3o$3b2o!

p45

Code: Select all

x = 22, y = 56, rule = B3/S23
13b2o$12bobo$12bo$9b2obo$10bobobo$10bo6b2o$11b2o3bobo$15bo$14bob2o$14b
2o2bo$16b3o$15bo3b2o$11bobo3b2o2bo$4bo5bo3bo3bob2o$4b3o3bo4bo2bo$7bo3b
4o2b2o$6b2o$b2o$2bo$2bobo4bobo$3b2o7bo$12bo4b2o$9b6ob3o$16b4o$11bo2bob
4o$11b3o2b3o$10bo6b2o$9bobo$10bobo$3b2o6bo$3b3o2b3o$2b4obo2bo$2b4o$3b
3ob6o$3b2o4bo$9bo7b2o$10bobo4bobo$19bo$19b2o$14b2o$3b2o2b4o3bo$3bo2bo
4bo3b3o$2obo3bo3bo5bo$o2b2o3bobo$b2o3bo$3b3o$3bo2b2o$4b2obo$6bo$3bobo
3b2o$3b2o6bo$7bobobo$9bob2o$9bo$7bobo$7b2o!

p46

Code: Select all

x = 11, y = 22, rule = B3/S23
2bo7bo$3b2o3b3o$b2o4bo$3bo3b2o3$2b2o$b3o3b3o$2b2o3b2o$o2b5o$4b3o$5bo7$
2b2o4bo$3bo2bobo$3o4bobo$o6bo!

p52

Code: Select all

x = 19, y = 24, rule = B3/S23
bo7bo$2b2o3b3o$2o4bo$2bo3b2o2$4bo$3bob2o$3bob2o$4b2o$3bo$2b3ob2o$ob3ob
2o10bo$o10b2ob3obo$11b2ob3o$15bo$13b2o$12b2obo$12b2obo$14bo2$11b2o3bo$
12bo4b2o$9b3o3b2o$9bo7bo!

p54

Code: Select all

x = 10, y = 10, rule = B3/S23
3bo2$2b3o2bo$bo2bobobo$2o7bo$o7b2o$bobobo2bo$2bo2b3o2$6bo!

p56

Code: Select all

x = 32, y = 36, rule = B3/S23
17bo$17b3o$20bo$19b2o2$22bo$21b3o2bo$20bo2b2o$20bo3bo$21b2obo$23b2o$
29bo$4bo16bo7bobo$4b3o14bo6bobo$7bo13bo8bo$2o4b2o$bo11bo4bo$bobo8bobo
2bobo8b2o$2b2o8bobo2bobo8bobo$13bo4bo11bo$24b2o4b2o$bo8bo13bo$bobo6bo
14b3o$obo7bo16bo$2bo$7b2o$7bob2o$7bo3bo$7b2o2bo$5bo2b3o$9bo2$11b2o$11b
o$12b3o$14bo!

p56 shuttle

Code: Select all

x = 19, y = 26, rule = B3/S23
3bo6bo$3b3o4bobo$6bo2bobo$5b2o4bo$2o$bo$bobo$2b2o6b2o$9bo$9b2o2bo$9b2o
2bo2$7b2o$4bob2obo$4bo2bob2o$8b2o3$15b2o$15bobo$17bo$17b2o$7bo4b2o$7bo
bo2bo$6bobo4b3o$8bo6bo!

p75; note clocks

Code: Select all

x = 25, y = 30, rule = B3/S23
5bo$5b3o$8bo$b2o4b2o$2bo20bo$2bobo18bo$3b2o17b3o$16b3o3b2o$11bo3bo2bo
3b3o$2bo7b3o2bo4bo2bo$2bobo8bo4bobo2bo$bobo6b2obo4bo$3bo6b3o5bo$17bo$
8bo8bo$7bo8bo$7bo$6bo5b3o6bo$6bo4bob2o6bobo$bo2bobo4bo8bobo$bo2bo4bo2b
3o7bo$3o3bo2bo3bo$b2o3b3o$3o17b2o$bo18bobo$bo20bo$16b2o4b2o$16bo$17b3o
$19bo!

p133 block keeper

Code: Select all

x = 35, y = 37, rule = B3/S23
5b2o$5b2o8$7b2o5b2o$6bobo5b2o$6b3o5bobo$5bo2bo6b2o4b2o$6bo2b2obob3o2bo
3bo$3b3o7b2o4b2o2bo$2b2o3bo6b2o2bobo3bo$bo7bo4bo4b2o$2b2o3bo5b3o3b3o2b
3o$o2bo3b2o2bo3bo3bo3bo2b2o3bo2bo$8b3o2b3o3b3o5bo3b2o$14b2o4bo4bo7bo$
10bo3bobo2b2o6bo3b2o$11bo2b2o4b2o7b3o$11bo3bo2b3obob2o2bo$12b2o4b2o6bo
2bo$18bobo5b3o$19b2o5bobo$19b2o5b2o8$28b2o$28b2o!

[hotdogPi]

Sorry for the double post, but it would get buried if I modified my existing post.

This is a p48 "double offset LOM" (my name) hassler found by Mitchell Riley earlier today. While 48 is a common period, it was required to be even due to the kinetic symmetry, so it's not like we missed out on anything important.

Code: Select all

x = 41, y = 41, rule = B3/S23
13b2o11b2o$14bo11bo$12bo15bo$12b5o7b5o$16bo7bo$10b4o13b4o$10bo2bo13bo
2bo$11bo17bo3$5b2o27b2o$5bo9bo9bo9bo$2b2obo9bo9bo9bob2o$o2bob2o6bo2bo
7bo2bo6b2obo2bo$2obo9b3o9b3o9bob2o$3bo10bo11bo10bo$3b2o31b2o8$3b2o31b
2o$3bo10bo11bo10bo$2obo9b3o9b3o9bob2o$o2bob2o6bo2bo7bo2bo6b2obo2bo$2b
2obo9bo9bo9bob2o$5bo9bo9bo9bo$5b2o27b2o3$11bo17bo$10bo2bo13bo2bo$10b4o
13b4o$16bo7bo$12b5o7b5o$12bo15bo$14bo11bo$13b2o11b2o!

Because of its gutter symmetry can be reduced and monomerized at the expense of the supports no longer being p1.

Code: Select all

x = 31, y = 31, rule = B3/S23
16b2o$16bo$18bo$14b5o$14bo$17b4o$17bo2bo4$24b2o$25bo$14b3o8bob2o$6bo7b
o2bo6b2obo2bo$6b2o7bobo9bob2o$5b2obo6b3o9bo$4bo2b3o16b2o$3bobobo$2bobo
bo$3o2bo$bob2o$2b2o10bo$3bo10b2o$13b2obo$12bo2b3o$11bobobo$10bobobo$8b
3o2bo$9bob2o$10b2o$11bo!

The name "double offset LOM" was chosen because at the beginning, it's a lumps of muck where one half is two generations ahead of the other.

[iNoMed]

p73 HF-LOM hassler (different from the previously known p73 LOM hassler), taken from a mvr catforce stdin soup and stabilised by hand:

Code: Select all

x = 31, y = 33, rule = B3/S23
26bo$24b3o$23bo$6b2o15b2o$6b2o4$2o18bo$o2bo15bo2bo$b2obo14bo2bo$2bobo
15bobo$bo2bob2o18b2o$bobo2b2o18bobo$2ob2o23bo$28b2o2$b2o$2bo23b2ob2o$
2bobo18b2o2bobo$3b2o18b2obo2bo$8bobo15bobo$8bo2bo14bob2o$8bo2bo15bo2bo
$10bo18b2o4$23b2o$6b2o15b2o$7bo$4b3o$4bo!

Edit: slightly smaller:

Code: Select all

x = 33, y = 33, rule = B3/S23
27bo$25b3o$24bo$7b2o15b2o$7b2o4$21bo$4bo15bo2bo$3bobo14bo2bo$b3obo15bo
bo$o4bob2o18b2o$obobo2b2o18bobo$b2ob2o23bo$29b2o2$2b2o$3bo23b2ob2o$3bo
bo18b2o2bobobo$4b2o18b2obo4bo$9bobo15bob3o$9bo2bo14bobo$9bo2bo15bo$11b
o4$24b2o$7b2o15b2o$8bo$5b3o$5bo!

[hotdogPi]

Since I'm no longer triple posting by doing this:

I created another program as a minor modification of my existing ones. In doing so, I've found the new p76 and p140 below in addition to rediscovering the p52 and p96 honey farm shuttles. I'm nowhere near done with it, so I expect to find more in the future.

p76 R-pentomino shuttle

Code: Select all

x = 41, y = 37, rule = B3/S23
18b2o$19bo$14b2o3bob2o4b2o$13bobo4bobo4bobo$13bo15bo$10b2ob2o2b2o5b2o
2b2ob2o$10b2obo15bob2o$13bob4o5b4obo$13bobo3b5o3bobo$14bo13bo3$39b2o$
35b2o2bo$34bo2bobo$34b2o2bo$3b3o17b2o5bo$3b3o16bo2bo2b3o2b2o$4bo3b3o
11b2ob2o3bo2b2obo$5bob5o12bo9bobo$4bo2b4o25bo$2bob2obo28bo$bobo2bo$bo
2b2o$2o2$19b2o$12bo3bo5bo3bo$11bobo11bobo$11bobo11bobo$8b2obobob9obobo
b2o$8b2obo15bob2o$11bo15bo$11bobo4bobo4bobo$12b2o4b2obo3b2o$21bo$21b2o!

p140 R-pentomino shuttle

Code: Select all

x = 53, y = 45, rule = B3/S23
47b2o$48bo$45b2o$44b2ob4o$47bo3bo$46bo2bo2bo$47b5o$24b2o4b2o14bo$24bob
o2bobo11b2o3b2o$26b4o14bobo2b3o$24bo2b2o2bo13bobo4bo$4b2o18bo2b2o2bo
13bo2b5o$4bo21bo2bo15bo3bo$6b2o31b2o4b2ob2ob2o$2b4ob2o31b2o3bo3bob2o$b
o3bo34bo5b2obo$o2bo2bo34bobo3bobo$b5o19bo15bobo3bobob2o$6bo16b2ob2o12b
o5b2obobo$3b2o3b2o14bo2bo12b2o3bo3bobo$b3o2bobo16b2o12b2o4b2ob2ob2o$o
4bobo37bo3bo$5o2bo37bo2b5o$3bo3bo37bobo4bo$2ob2ob2o4b2o30bobo2b3o$bobo
3bo3b2o30b2o3b2o$bobob2o5bo33bo$2obobo3bobo35b5o$3bobo3bobo34bo2bo2bo$
3bob2o5bo34bo3bo$2obo3bo3b2o31b2ob4o$2ob2ob2o4b2o31b2o$3bo3bo15bo2bo
21bo$5o2bo13bo2b2o2bo18b2o$o4bobo13bo2b2o2bo$b3o2bobo14b4o$3b2o3b2o11b
obo2bobo$6bo14b2o4b2o$b5o$o2bo2bo$bo3bo$2b4ob2o$6b2o$4bo$4b2o!

Partials; mine unless otherwise specified:

p51 by Carson Cheng; Kok's Galaxy provides the right spark but 51 is not a multiple of 8

Code: Select all

x = 40, y = 31, rule = B3/S23
31b2o$11bo18b4o$11b3o15bob2ob2obo$14bo19b2o2bo$13b2o14b2o2b2o2b3o$29b
4obo2b3o$28bo2bo3bo2bo$27b3o2bob4o$27b3o2b2o2b2o$28bo2b2o$29bob2ob2obo
$33b4o$34b2o$18b3o$18bobo$18bo2bo$19bobo$19b3o$4b2o$3b4o$2bob2ob2obo$
7b2o2bo$2b2o2b2o2b3o$2b4obo2b3o$bo2bo3bo2bo$3o2bob4o$3o2b2o2b2o14b2o$b
o2b2o19bo$2bob2ob2obo15b3o$6b4o18bo$7b2o!

p72

Code: Select all

x = 12, y = 16, rule = B3/S23
5bo$4b3o$3b5o$2b2o3b2o2bo$b3o3b3obo$2b2o3b2o$3b5o$4b3o$5bo6$8o$b6o!

p74, mvr

Code: Select all

x = 43, y = 49, rule = B3/S23
9bo$9b3o9bo12b2o$12bo7bobo7b2obo2bo$11b2o8bo7bobob2obo$29bo4bob2ob2o$
13b3o14b3obo2bobo$12bo3bo15bob3o2bo$12bo3bo22bobo$13b3o17b6obobo$33bo
6bobo$36b2obobo$37bobo$37bobo$38bo2$14bo$14bo2b4ob4o$16bo7bob2o$8bo8b
3o$8b3o7b3o$11bo15bo$10b2o$22bo3b2o$16b2o5bo4bo$15b3o7b3o$14bo4bo5b2o$
15b2o3bo$31b2o$15bo15bo$22b3o7b3o$23b3o8bo$15b2obo7bo$17b4ob4o2bo$28bo
2$4bo$3bobo$3bobo$bobob2o$obo6bo$obob6o17b3o$bobo22bo3bo$3bo2b3obo15bo
3bo$3bobo2bob3o14b3o$2b2ob2obo4bo$6bob2obobo7bo8b2o$6bo2bob2o7bobo7bo$
7b2o12bo9b3o$33bo!

p80

Code: Select all

x = 46, y = 15, rule = B3/S23
3b2o$b2obo15bo4b3o$o2bo15b2o5b2o11b2o$o2bo4bo9b2o5b2o10b2obo$o2bo3bobo
9bobo3bobo8bo2bo$b3o3b2o11b2o4b4o6bo2bo4bo$21bo3bo2b2o6bo2bo3bobo$b3o
3b2o16bob2o8b3o3b2o$o2bo3bobo15b3o$o2bo4bo28b3o3b2o$o2bo20bo11bo2bo3bo
bo$b2obo31bo2bo4bo$3b2o31bo2bo$37b2obo$39b2o!

p84

Code: Select all

x = 11, y = 16, rule = B3/S23
5b2o$3b6o$3b6o$4b4o4$5b3o$4bo3bo$3bo5bo$2bo3bo3bo$2bo2bobo2bo$2bo3bo3b
o$o2bo5bo$4bo3bo$5b3o!

p110

Code: Select all

x = 68, y = 25, rule = B3/S23
57bo$10bo44b5o$8b5o41bo5bo$7bo5bo40bob2o2bo$7bo2b2obo39b2obobob3obo$3b
ob3obobob2o43bo4b2o$3b2o4bo21b2o24b2ob2o$6b2ob2o44b2obobob5o$b5obobob
2o20b2o19bobobo8bo$o8bobobo18bob2o17b2ob2ob4o3b2o$2o3b4ob2ob2o17bo2bo
17bo3bo5bo$4bo5bo3bo17b2ob2ob3o12bo7b2o$5b2o7bo18bo2b2o2bo12bo7b2o$5b
2o7bo19bo5bo12bo3bo5bo$4bo5bo3bo20bo2b2o13b2ob2ob4o3b2o$2o3b4ob2ob2o
21b2o16bobobo8bo$o8bobobo41b2obobob5o$b5obobob2o44b2ob2o$6b2ob2o47bo4b
2o$3b2o4bo43b2obobob3obo$3bob3obobob2o39bob2o2bo$7bo2b2obo40bo5bo$7bo
5bo41b5o$8b5o44bo$10bo!

p116 flipper; two possible sparks shown

Code: Select all

x = 28, y = 30, rule = B3/S23
3bo6bo5bo6bo$3b3o4bobobobo4b3o$6bo2bobo3bobo2bo$5b2o4bo3bo4b2o3$8bo$bo
5bo$bo5bo$3o2bobo$3o14bo$2o2b3o10b2o$16bo2bo$20bo$7bo10b3o4b2o$6b3o10b
o4b3o$6bo17b4o$7bo2bo13b4o$8b2o10b3ob3o$9bo15b2o$19bobo$19bo$19bo$18bo
3$5b2o4bo3bo4b2o$6bo2bobo3bobo2bo$3b3o4bobobobo4b3o$3bo6bo5bo6bo!

p120. The phi spark is simply to indicate a dot delayed 4 generations.

Code: Select all

x = 7, y = 13, rule = B3/S23
2b3o$3bo$3bo$2b3o5$4bo$3bobo$obo3bo$o2bobo$4bo!

p124. phi spark is simply to indicate a dot delayed 4 generations.

Code: Select all

x = 11, y = 18, rule = B3/S23
5b3o$6bo$6bo$5b3o6$5b3o$4bo3bo$o2bo5bo$2bo3bo3bo$2bo2bobo2bo$2bo3bo3bo
$3bo5bo$4bo3bo$5b3o!

p135 gun

Code: Select all

x = 62, y = 30, rule = B3/S23
26b3o$25bo3bo$25bo3bo$26b3o3$5bo2bob2obo2bo$4b2o2bo4bo2b2o$5bo2bob2obo
2bo9b3o$25bo3bo$25bo3bo$2o11bo12b3o$obo8b4o25b2o$bo8b5o$10bobobo24b2o$
9b3o25b2o2bo$24b3o6b2o2bo3bo$23b2o2bo5b3o3b2o6bo$23b2o3bo6bo3bo5b2obo$
23b3o14bo3bobob2o$22b3o4bo6b5o3bobo$9b2o11b2o3bo2bo5bo2bo3bo3b2ob2o$9b
2o10b2o5b2o7b2o9bo3b2o$22b2o16bo2bobobo4b2o$26bo11bobo6bo6bo$26bo12bo
8bo4bo$49bo3bo4b2o$40b2o8b2o6bobo$40b2o18bo$60b2o!

[hotdogPi]

And here's a p42 LOM shuttle.

Code: Select all

x = 42, y = 29, rule = B3/S23
22b2o$22b2o3$22b3o$17b2o2bob2o8b2o$7b2o8b2o2b2o8b3o6b2o$2o6b3o10b2o7bo
4bo5bo$o5bo4bo19b4obob3o$b3obob4o20bo4bobo$3bobo4bo22bobobo$4bobobo21b
2o2b2o$6b2o2b2o4b3o6bo3b3o2b2o3bo$2bo3b2o2b3o3bo2b2o2bo2bo2b3o2b3obobo
$bobob3o2b3o3b2o2bo3b2o3b3o2b3obobo$bobob3o2b3o5b3o8b3o2b2o3bo$2bo3b2o
2b3o17b2o2b2o$6b2o2b2o21bobobo$4bobobo22bo4bobo$3bobo4bo20b4obob3o$b3o
bob4o19bo4bo5bo$o5bo4bo8b4o7b3o6b2o$2o6b3o8bo4bo8b2o$7b2o9bobo3bo$17bo
bo3bo$17bo$17bo$17bo2bo$18b2o!

And a p86 R-pentomino shuttle that requires four huge strictly volatile p86s as supports...

Code: Select all

x = 185, y = 184, rule = B3/S23
64bo$63b3o$62bo$59b2o2b2o$59b2o9$70bobo$71b2o$71bo8$119bo$91bo26bobo$
90b3o25bobo$66b2o21bobobo25bo$65bob2o19b3ob3o14bo$65bo2bo20bobobo13b2o
bo$66b2o15bo6b3o4b2o9bob2o$67b3o13bob2obo2bo5b2o11bo$69bo19bo$65b2o19b
o3bo$65b2o18bo4bo$62b2o21bo4bo$61bobo21bo3bo$63bo22b3o$130b2o$129bo2bo
$130b2o4$67b3o22bo$66bo3bo21bobo$65bo4bo21b2o$65bo4bo18b2o$65bo3bo19b
2o$66bo19bo47b3o$45bo11b2o5bo2bob2obo13b3o44bo3bo$44b2obo9b2o4b3o6bo
15b2o$45bob2o13bobobo20bo2bo41bo$46bo14b3ob3o19b2obo42b5o$36bo25bobobo
21b2o46bo$35bobo25b3o$35bobo26bo$36bo$181bo$181b3o$135b2o46bo$135b2o2$
30bo117bo32b3o$21b2o2b2o2bobo117b2o30b3o$21bo3b4o2bo52bo48bo14b2o31b2o
$20b2o3b3ob2o52b2o48bo48bo$83bobo46bobo46bobo$133bo18b2o27bo2bo$133bo
4bo13b2o3bo24b2o$137bob2o15b2o$137bo2bo14bobo$138b3o14b3o14bo$35bo119b
2o15bobo$36bo98b2o20bo3bo10b2o$34b3o98bobo20bo$95b2o39bo$91b2o2b2o$93b
o$90b3o$91bo5$84bo70bo$36bo46bobo47bo20bobo$83bobo32b2o10bo3bo20b2o$
56bo14bo12bo32bobo15b2o$37bo16b2ob2o11bo2bo45bo14b3o14b3o$31b4obo19bo
13bo3bo59bobo14bo2bo$32bob2o12b2o12b2o6bo3bo19b2o38b2o15b2obo$33b3o11b
obo12b2o5b2o3bo18bo2bo11b2o24bo3b2o13bo4bo$48bo3b2o16bo2bo18b2ob2o10bo
2bo27b2o18bo$30b2o19bo2bo39bo13bobo46bobo$30b2o19bobo55bo48bo$51b3o55b
2o31b2o14bo$26bo81b3o30b2o$26b2o80b3o32bo$25bobo67b2o$94bo2bo57b2o$95b
2o11bo46b2o$108b3o$110bo$58bobo$58b2o$59bo$32b3o120bo$32bobo19b2o44bo
53b5o$31bo2bo19b2o43b3o57bo$12bo2bo16b2o3bo60bo$11bo3b2o5b2o12bobo11b
3o46b2o53bo3bo$11bo3bo6b2o12b2o12b2obo45bo55b3o$11bo3bo13bo19bob4o$12b
o2bo11b2ob2o16bo$bo12bo14bo$obo$obo46bo$bo3$100b2o58b2o$100b2o57bo2bo$
146b2o12b2o$146b2o$98bo16bo$97b3o16bo31bo$96bobobo13b3o30bobo$49b3o43b
3ob3o45bob2o$49bo46bobobo2b3o11b2o3b2o25bo$50bo46b3o2bo3bo10b2o2bo2bo$
98bo2bo5bo12b2ob2o$107bo12bob2o$101bobo3bo11b2o$101bo2b3o30bo$135b2o$
100b2o34b2o$55b2ob3o3b2o$54bo2b4o3bo$54bobo2b2o2b2o$55bo7$84b2o34b2o$
85b2o$84bo30b3o2bo$101b2o11bo3bobo$98b2obo12bo$97b2ob2o12bo5bo2bo$97bo
2bo2b2o10bo3bo2b3o$72bo25b2o3b2o11b3o2bobobo$71b2obo45b3ob3o$72bobo30b
3o13bobobo$73bo31bo16b3o$106bo16bo$74b2o$74b2o$120b2o$120b2o9$122bo$
121b2o$123bo$120b3o$121bo7$125b2o$124bo2bo$125b2o!

More partials:

p33; phi spark is simply a dot 4 generations later

Code: Select all

x = 7, y = 16, rule = B3/S23
2b3o$3bo$3bo$2b3o6$4b3o$3bo2bo$2bo3bo$2bo$obo3bo$3bo2bo$4b3o!

p36

Code: Select all

x = 11, y = 11, rule = B3/S23
2bo2bo$8o$2b4o3$2bo3bo$2bo2b4o$4bo3b2o$5b2o3bo$6b4o$8bo!

p37

Code: Select all

x = 31, y = 39, rule = B3/S23
11bo$5b2o4b3o$2b2o2bo2b2o3bo$bob2obobo2b3o$o4bobobobo$b3o3bobo$3b2o2bo
2bo$8b2o3b2o8bo$3b2o18bo$3b2o9b2o6b3o$17b3o2b2o$17b3o2b3o$5b2o5b3o3bob
o2bo$5b2o5b3o8bo$12bo2bo$14bobo$14bobo$15bo4$15bo$14bobo$14bobo$15bo2b
o$7bo8b3o5b2o$7bo2bobo3b3o5b2o$6b3o2b3o$7b2o2b3o$6b3o6b2o9b2o$7bo18b2o
$7bo8b2o3b2o$20bo2bo2b2o$21bobo3b3o$19bobobobo4bo$17b3o2bobob2obo$16bo
3b2o2bo2b2o$17b3o4b2o$19bo!

p48

Code: Select all

x = 11, y = 23, rule = B3/S23
9b2o$10bo$9bo$9b2o5$3bo2$o2b2o$o2b2ob2o$2bo3b2o$3b2o3bo$3b2ob2o$6b2o4$
6b2o$7bo$6bo$6b2o!

p50

Code: Select all

x = 20, y = 12, rule = B3/S23
18b2o$18b2o$8b2o$7bo2bo$8b2o$2o6b2o$2o2b2obo$4bo2bo$5b3o2$3b2o$2bo!

p64

Code: Select all

x = 25, y = 42, rule = B3/S23
14b2o$14bo$9b2obobo$9bob2ob2o2$10b6o$9bo5bo$9b2o2b2o2$23bo$13b2o8bo$
12bo2bo6b3o$13b3o6b2o$13b2o3bo3b2o$14bo2bobo2b3o$14bo2bo2bo2bo$17bob2o
2bo$14b2obob2o$15bo3bo$16bobo$17bo$7bo$6bobo$5bo3bo$4b2obob2o$bo2b2obo
$bo2bo2bo2bo$3o2bobo2bo$b2o3bo3b2o$b2o6b3o$3o6bo2bo$bo8b2o$bo2$10b2o2b
2o$9bo5bo$9b6o2$9b2ob2obo$10bobob2o$10bo$9b2o!

p82; weird thing is just a domino 4 generations later

Code: Select all

x = 13, y = 21, rule = B3/S23
5b2o4b2o2$7b4o$7bo2bo$7bo2bo$8b2o5$7bo$6b3o$5b2o2bo$4bo3b2o$3b2o$2b3o$
o2b2o$o3bo3b2o$5b2o2bo$6b3o$7bo!

p88

Code: Select all

x = 32, y = 32, rule = B3/S23
5b2o$5bo$2obobo$ob2ob2o2$b6o$o2bo2bo$2o5$29b2o$12b3o4bo4b2o2b3o$11bob
2o5bob2o2bob4o$b2o5b2o14b2o2b3o$b3o2b2o14b2o5b2o$4obo2b2obo5b2obo$b3o
2b2o4bo4b3o$b2o5$30b2o$25bo2bo2bo$25b6o2$25b2ob2obo$26bobob2o$26bo$25b
2o!

90; sparkers already work, but there's an extra R-pentomino

Code: Select all

x = 37, y = 60, rule = B3/S23
21b2o$21b2o9$21bo$20b3o$19b5o$18b2o3b2o$13bo5b5o$12b4o3bo3bo$2o9b2obob
o3bobo$2o8b3obo2bo3bo$11b2obobo$12b4o$13bo$28b3o$27bo3bo$26bo5bo$17bo$
17bo7bo7bo$16bobo6bo7bo2$15b2ob2o6bo5bo$6b3o6bo3bo7bo3bo$5bo3bo7b4o7b
3o$4bo5bo3bob2obo$13b4o$3bo7bo2bo3bo$3bo7bo2b2ob2o2$4bo5bo4bobo$5bo3bo
6bo$6b3o7bo$28bo$27b4o$26b2obobo$25b3obo2bo2b2o$26b2obobo3b2o$27b4o$
28bo3$15bo$14b3o$13b5o$12b2o3b2o$13b5o$13bo3bo$14bobo$15bo3$14b2o$14b
2o!

p98; sparkers already work, but there's a loaf in the way

Code: Select all

x = 54, y = 46, rule = B3/S23
17b2o6b3o$17bobo4bo2bo14b2o$6bo11b2o3bo2b2o14bo$4b3o7b2o7b3o5bo8bobo$
3bo9bobo8bo5b3o7b2o$3b2o8bo14b2o2bo3b2o$12b2o14bo2bo4bobo$2o26b3o6b2o$
obo$b2o46bo$47b3o$46bo$46b2o$2b2o$bob2o38b2o$o2bo26bo12bob2o$obo26bobo
$3o26bobo12bo$5b3o$5bobo10b3o27bo$4bo2bo9bo3bo27bo$3b2obo10b2ob2o20bo
3b5o$4b2o34bo3bo2bo2bo$40bo8b3o$40bo2b2o3bo2b2o$41b2o2bo3b2o2bo$5b2o
35b3o8bo$5bobo35bo2bo2bo3bo$6b2o35b5o3bo$44bo$3b2o40bo$4bo$b3o16b3o26b
o$bo21bo$19bo3b2o22b2obo$12b2o8bob3o22b2o$12bo2bo4bobobob2o9b2o$13bo9b
o2bobo8bo8b2o$9b2o2bo5bo5b2o8bobo9bo$8bobo8b2o5bo5bo2b2o7b3o$8bo8bobo
2bo9bo11bo$7b2o9b2obobobo4bo2bo$19b3obo8b2o$21b2o3bo$22bo$23b3o!

p128

Code: Select all

x = 33, y = 69, rule = B3/S23
16b2o3b2o$16b2o3b2o4bo$25b2o$25b2o4b2o$19b2o4b2o4b2o$14bo3b2ob3o2b2o$
15b4o3b2o3b2o$15b3o10bo$27bo3b2o$18b2o6b2o3b2o$13b2o3b2o6b2o$13b2o3bo$
17bo10b3o$17b2o3b2o3b4o$18b2o2b3ob2o3bo$13b2o4b2o4b2o$13b2o4b2o$19b2o$
18bo4b2o3b2o$23b2o3b2o8$14b3o$14b3o2$14bobo2$6b2o2b2o7b2o2b2o$5bobo3bo
bo3bobo3bobo$5bo6bo5bo6bo$5bo3bo5bo5bo3bo$3bo2bob3o9b3obo$3bo3bo2b2o7b
2o2bo$9bo2b2o3b2o2bo$9b2o3bobo3b2o$9b2o2bo3bo2b2o$11b2o5b2o8$3b2o3b2o$
3b2o3b2o4bo$12b2o$12b2o4b2o$6b2o4b2o4b2o$bo3b2ob3o2b2o$2b4o3b2o3b2o$2b
3o10bo$14bo3b2o$5b2o6b2o3b2o$2o3b2o6b2o$2o3bo$4bo10b3o$4b2o3b2o3b4o$5b
2o2b3ob2o3bo$2o4b2o4b2o$2o4b2o$6b2o$5bo4b2o3b2o$10b2o3b2o!

p140

Code: Select all

x = 44, y = 61, rule = B3/S23
15bo4b2ob2o2bo2bob2o4bo$14bobo2bobob2o2b4obobo2bobo$13bo2bo2bobo10bobo
2bo2bo$13bob2ob2obob8obob2ob2obo$10b2obo2bobo16bobo2bob2o$10bo2b2obob
4obob4obob4obob2o2bo$13bo2bobo2b2ob2o2b2ob2o2bobo2bo$13b4ob2o14b2ob4o$
13b3ob3o14b3ob3o$23b2ob2ob2o$22b10o$22b2o6b2o$22b2ob4ob2o$23b8o14$19b
3o$16bobo3bo$18b2ob2o6$19b2o$18b3o$19bo2bo$20b2o2$26bo$27b2o6$13b8o$
12b2ob4ob2o$12b2o6b2o$12b10o$13b2ob2ob2o$3b3ob3o14b3ob3o$3b4ob2o14b2ob
4o$3bo2bobo2b2ob2o2b2ob2o2bobo2bo$o2b2obob4obob4obob4obob2o2bo$2obo2bo
bo16bobo2bob2o$3bob2ob2obob8obob2ob2obo$3bo2bo2bobo10bobo2bo2bo$4bobo
2bobob4o2b2obobo2bobo$5bo4b2obo2bo2b2ob2o4bo!

p164

Code: Select all

x = 34, y = 61, rule = B3/S23
3b2o3b2o3b2o$3bobobo2bobobo$4b2obo2bob2o$2bobo3b2o3bobo$bobobo6bobobo$
bobobob4obobobo$2obobobo2bobobob2o$3bob8obo$3bo10bo$2obob8obob2o$bobob
2ob2ob2obobo$bobo3b4o3bobo$2bo5b2o5bo$3b3o6b3o$5bobo2bobo$6b6o$7b4o4$
7b3o$6bo3bo$5bo5bo$5bo5bo$5b3ob3o$3bo$3bo$32b2o$32b2o3$bo$o3b2o$o5bo
12b2o$b2o3bo2b3obo4b3o$4bobo2b2ob2ob4o$9b2obo5bo$11bob4o$14b2o7$22bo4b
o$21bob4obo$19b3o2b2o2b3o$18bo4b4o4bo$17bob4o4b4obo$17bobob2o4b2obobo$
16b2obo10bob2o$19bo2bob2obo2bo$19bo2bob2obo2bo$16b2obobo6bobob2o$17bob
obob4obobobo$17bobobo6bobobo$18bobo3b2o3bobo$20b2obo2bob2o$19bobobo2bo
bobo$19b2o3b2o3b2o!

p188, may be known

Code: Select all

x = 7, y = 9, rule = B3/S23
2o2$b2o$obo$o$3o2bo$3b2obo$3b2obo$5bo!

[mvr]

p148 longbun hassler

Code: Select all

x = 50, y = 41, rule = B3/S23
21bo$19b3o$18bo$18b2o16bo$35bobo$35bobo$27bo6b2ob3o$27b3o10bo$30bo3b2o
b3o$29b2o3b2obo2$14bo$3bo8bobo$b3o8bo$o$2o2$31bo$18b3o8b3o$18bo2bo6bo
2bo$22bo4bo$18bo2bo6bo2bo$18b3o8b3o$18bo2$48b2o$49bo$37bo8b3o$35bobo8b
o$35bo2$12bob2o3b2o$10b3ob2o3bo$9bo10b3o$10b3ob2o6bo$12bobo$12bobo$13b
o16b2o$31bo$28b3o$28bo!

[johamwit]

...
p188, may be known
...

That one would be cool... not too many rotating sl

Code: Select all

x = 0, y = 0, rule = LifeHistory
4$22.2B$21.3B$19.6B$10.3B4.9B$8.7B.10B$7.6B2D12B$5.22B$5.9B2C11B$6.7B
CBC8BDB$7.6BC10BDB$7.6B3C2BC6B$8.8B2CBC6B$8.8B2CBC7B$9.9BC8B$10.18B$
9.BD17B$9.BD18B$8.22B$8.22B$8.12B2D6B$9.10B.7B$9.9B4.3B$10.6B$11.3B$
11.2B!
#C[[ PASTET   0 PASTE $.2E!  12  8 ]]
#C[[ PASTET 47 PASTE E$E!  24 12 ]]
#C[[ PASTET 94 PASTE $.2E!  19 22 ]]
#C[[ PASTET 141 PASTE E$E!  10 19 LOOP 188 ]]

[confocaloid]

That p188 partial can be supported with glider streams:

Code: Select all

#C [[ ZOOM 4 X 5 Y 15 ]]
x = 381, y = 390, rule = B3/S23
7bobo$8b2o$8bo7$4bo374bo$5bo372bo$3b3o372b3o22$10bobo$11b2o$11bo12$54b
obo$55b2o$55bo300bo$354b2o$355b2o2$365bo$364bo$364b3o$51bo280bo$52bo
278bo$50b3o278b3o22$57bobo$58b2o$58bo12$101bobo$102b2o$102bo206bo$307b
2o$308b2o2$318bo$317bo$317b3o$98bo186bo$99bo184bo$97b3o184b3o22$104bob
o$105b2o$105bo12$148bobo$149b2o$149bo112bo$260b2o$261b2o2$271bo$270bo$
270b3o$145bo92bo$146bo90bo$144b3o90b3o22$151bobo$152b2o$152bo11$211b2o
$211bo$176bo32bobo$176b3o29bobo4bo$179bo11b2o11b2o3bo3b2o$178bobo10b2o
11b2o8b2o$179bo$224bo$223bo$180b2o41b3o$180b2o2$191b2o2$192b2o$191bobo
15b2o$191bo17b2o$191b3o2bo$194b2obo$194b2obo$196bo2$180b2o$180b2o3$
214b2o$213b2o$209b2o4bo$209b2o3$211bo$185b2o11b2o10bobo$181bo3b2o11b2o
11bo$180bobo29b3o$179bobo32bo$179bo$178b2o11$175b2o44b2o$174bobo44bobo
$176bo44bo$142b2o$141bobo$143bo2$152bo$152b2o$151bobo$217b2o$216b2o$
218bo12$261b2o$260b2o$262bo21$128b2o138b2o$127bobo138bobo$129bo138bo$
95b2o$94bobo$96bo2$105bo$105b2o$104bobo$264b2o$263b2o$265bo12$308b2o$
307b2o$309bo21$81b2o232b2o$80bobo232bobo$82bo232bo$48b2o$47bobo$49bo2$
58bo$58b2o$57bobo$311b2o$310b2o$312bo12$355b2o$354b2o$356bo21$34b2o
326b2o$33bobo326bobo$35bo326bo$b2o$obo$2bo2$11bo$11b2o$10bobo$358b2o$
357b2o$359bo!

[mvr]

p68

Code: Select all

x = 36, y = 33, rule = B3/S23
19b2o$19bo$11b2o3b2obo$11bo4bobo$12b3obo11b2o$14bob2o10bo$26bobo$26b2o
3$19bo$17b2ob2o$17bo4bo$22bo$21b2o11b2o$2b2o14b3o13bo$bobo28bobo$bo13b
3o14b2o$2o11b2o$13bo$13bo4bo$14b2ob2o$16bo3$8b2o$7bobo$7bo10b2obo$6b2o
11bob3o$17bobo4bo$16bob2o3b2o$16bo$15b2o!

[Sokwe]

Here's a p3 solution (found with JLS) to a p69 partial result by Mitchell Riley:

Code: Select all

x = 54, y = 38, rule = B3/S23
2b2obo16b2o3b2o$3bob3o14bobo2bo$bo2bo3bo11b2o2bo3bo$b2obobobo9bo2bobob
4o$4b2o5b2o5b2o3bobo$b2o5bo3bo9b2obob2o$o2b4o2bo2bobo11bobo$3o2bobobo
3b2o$3b2o4b2o29bo$4o3bobo28b3o$o3b4obob2o24bo$b2obo4bo27b2o$2bo2b5o2bo
$2bobo3b2o10b3o$3b2o4b2obo9bo$8b2obo8b3o23b2o$3b2obobo35b3obo$4bobobo
34bo4bo$4bobo36bobobob2o$3b2obobobo36bobo$5bo4bo34bobobo$5bob3o35bobob
2o$6b2o23b3o8bob2o$31bo9bob2o4b2o$31b3o10b2o3bobo$41bo2b5o2bo$15b2o27b
o4bob2o$16bo24b2obob4o3bo$13b3o28bobo3b4o$13bo29b2o4b2o$39b2o3bobobo2b
3o$25bobo11bobo2bo2b4o2bo$25b2obob2o9bo3bo5b2o$28bobo3b2o5b2o5b2o$25b
4obobo2bo9bobobob2o$25bo3bo2b2o11bo3bo2bo$26bo2bobo14b3obo$25b2o3b2o
16bob2o!

Note that the oscillator still works if either p3 is advanced by two generations. This was the first p3 I found. There may be smaller solutions.

[iNoMed]

There is a smaller solution to the p69:

Code: Select all

x = 56, y = 38, rule = B3/S23
23b2o3b2o$23bobo2bo$19bob2o2bo3bo$2b2o2bo12b2obobob4o$2bo2bob2o3b2o10b
obo$3bobo7bo9b2obob2o$2b2obo2bobo2bobo11bobo$7bo2bo3b2o$2b2ob2obob2o
29bo$o2bo4bobobo26b3o$2o3b4obo27bo$2b3o5bob2o24b2o$2bo2b4o2bo10bo$3bob
obo4bo9b2o$4b2o6bo11bo$6bob2o2bo9b2o23b2o$4b2o3bo12bo22b3obo$5bobo36bo
4bo$4bo2bo2bo34bob2ob2o$4b2ob2obo34bo2bo2bo$6bo4bo36bobo$6bob3o22bo12b
o3b2o$7b2o23b2o9bo2b2obo$31bo11bo6b2o$32b2o9bo4bobobo$33bo10bo2b4o2bo$
16b2o24b2obo5b3o$17bo27bob4o3b2o$14b3o26bobobo4bo2bo$14bo29b2obob2ob2o
$40b2o3bo2bo$26bobo11bobo2bobo2bob2o$26b2obob2o9bo7bobo$29bobo10b2o3b
2obo2bo$26b4obobob2o12bo2b2o$26bo3bo2b2obo$27bo2bobo$26b2o3b2o!

Edit: Slightly better at the cost of a large bounding box:

Code: Select all

x = 46, y = 54, rule = B3/S23
14bo4b2o$13bobobo3bo$12bobo5bo$6b2o4bo2b3obo3b2o$2bo3b2o5b2o9bo$bobo
11bo5bobo$o2b5o5b2ob2o2b2o$b2o5b3obobobo2b2o$3bobobo3b2o6b2o$3bo7bob3o
$4b2o10bo$8bo4bobob3o$8b3o4bo$11bo20b2o$10b2o20bo$30bobo$30b2o2$7b2o$
8bo$6bo$6b2o8b2ob2o$4b2o3bo7bobo$4bo2b3o8bo$5b2o$7b3o25b2ob2obo$7bo2bo
25bobob2o$4b2obobo25bo2bo$4bob2ob2o25b3o$39b2o$27bo8b3o2bo$26bobo7bo3b
2o$25b2ob2o8b2o$39bo$37bo$37b2o2$14b2o$13bobo$13bo20b2o$12b2o20bo$30bo
4b3o$26b3obobo4bo$29bo10b2o$30b3obo7bo$25b2o6b2o3bobobo$25b2o2bobobob
3o5b2o$24b2o2b2ob2o5b5o2bo$22bobo5bo11bobo$21bo9b2o5b2o3bo$21b2o3bob3o
2bo4b2o$25bo5bobo$24bo3bobobo$25b2o4bo!

Edit 2: Another reduction using a different p3 method originally discovered as a p3 TWIT eater variant by Kazyan:

Code: Select all

x = 64, y = 38, rule = B3/S23
30b2o3b2o$31bo2bobo$30bo3bo2b2o$30b4obobo2bo$33bobo3b2o5b2o$30b2obob2o
9bo$30bobo11bobo$44b2o$18bo32b2obob2o3b2o$18b3o27b4o2bo3bobobo$21bo27b
2obo3bobobo$20b2o29b2obo2bobobo$46b2o11bobo$37b2o8b3o3b2o5bob2o$36b2o
9b2o6b2ob3obo$37b2o8bobo5bo4bobo$48bob3o2bo5bo$55bo3$8bo$2bo5bo2b3obo$
bobo4bo5bobo8b2o$bob3ob2o6b2o9b2o$2obo5b2o3b3o8b2o$2bobo11b2o$2bobobo
2bob2o29b2o$3bobobo3bob2o27bo$bobobo3bo2b4o27b3o$b2o3b2obob2o32bo$18b
2o$17bobo11bobo$17bo9b2obob2o$16b2o5b2o3bobo$23bo2bobob4o$25b2o2bo3bo$
27bobo2bo$27b2o3b2o!

[EvinZL]

Unoptimized period-164 octomino 2 hassler

Code: Select all

x = 86, y = 111, rule = B3/S23
50b2o$50bobo5b2o$52bo4bobo$48b4ob2o2bo$48bo2bobobob2o$51bobobobo$52b2o
bobo$52b2o2bo$51b3o$42b2o$43bo6bobobo$43bob2o3b2ob2o$44bo3b2o5b2o$49bo
2b4ob2o$49bo4b5o$46bo4bo2b2obo$51b3o$48b2o26bo$74b3o$54b2o17bo$54bo18b
2o$55b3o$57bo$81b2o$82bo$82bob2o$74b2o4b3o2bo$74b2o3bo3b2o$79b4o$65b2o
15bo$64bobo12b3o$64bo13bo$20b2o41b2o14b5o$20bo2bo57bo2bo$21b5o14b2o41b
2o$26bo13bo$23b3o12bobo$22bo15b2o$22b4o$20b2o3bo3b2o20bo$19bo2b3o4b2o
20b3o$19b2obo31bo$22bo30b2o$22b2o3$30b2o$31bo33bo$28b3o20b2o7b3obobo$
28bo14b3o4bo2bo6bob3obo$43bo7bob2o8b3o$30bo13bo6bo5b2o2bo$24bo5b3o19bo
2bob2o$24b3o6bo19b3o$27bo4b2o21bo$26b2o11b2o17b2o$39bo2bo9b2o4bo$39bo
2bo9bo6b3o$40b3o10b3o5bo$55bo2$19b2o36bo$19b2o10b2o22b3o$31bobo20bo$
32bo21b2o3$62b2o$31b2o30bo$31bo31bob2o$32b3o20b2o4b3o2bo$34bo20b2o3bo
3b2o$60b4o$46b2o15bo$45bobo12b3o$45bo13bo$b2o41b2o14b5o$bo2bo8b2o47bo
2bo$2b5o5bobo6b2o41b2o$7bo6bo6bo26bo$4b2obo2bo8bobo26bobo$3bo15b2o27b
2o$3b2o3bo3b2o$b2o7bo$o2bob2ob3o$2obo$3bo$3b2o$28bo$28b3o$11b2o18bo$
12bo17b2o$9b3o$9bo5$40b2o$33b2o5bobo$33b2o7bo$42b2o2$29bo$28bobob2o$
28bobobobo$27b2obobobo2bo$28bo2b2ob4o$26bobo4bo$26b2o5bobo$34b2o!

[Sokwe]

Here's a p54 pi-heptomino hassler based on a partial result by Mitchell Riley:

Code: Select all

x = 68, y = 36, rule = B3/S23
16bo$16b3o$19bo$18b2o$7b2o$6bo2bo$5bobobo$5bobob2o$3b2obo3bo$3bo2bob3o
33b2o$2obobobo2bo12b2o3b2o14bobo$o2bo5b2o11bobo3bobo15bo$b2o4bobo12bo
7bo14b2ob2obo3b2o$3b5obo12bo3bo3bo17bob2o3bo2bo$3bo4bo14bo5bo18bo$4b4o
5bo2bo7bo3bo18b2o$5bo7bo11b3o27bob2o$3bo8bo4bo32b2o2bobo6b2o$3b2o6bobo
2b2o32bo4bo8bo$9b2obo27b3o11bo7bo$19b2o18bo3bo7bo2bo5b4o$19bo18bo5bo
14bo4bo$9bo2bo3b2obo17bo3bo3bo12bob5o$11b2o3bob2ob2o14bo7bo12bobo4b2o$
21bo15bobo3bobo11b2o5bo2bo$21bobo14b2o3b2o12bo2bobobob2o$22b2o33b3obo
2bo$57bo3bob2o$57b2obobo$58bobobo$58bo2bo$59b2o$48b2o$48bo$49b3o$51bo!

The pipsquirters are just there to remove extra pi-heptominoes that are created. It seems like there should be a smaller solution, but the smaller pi eaters I know of don't seem to fit here.

[iNoMed]

If a p54 completion isn't your cup of tea, a Karel's p15 can also do the job to create a p270 LCM:

Code: Select all

x = 74, y = 36, rule = B3/S23
54bo11b6o$52b3o10bo6bo$51bo12bo8bo$51b2o12bo6bo$66b6o3$46bo$46bo5b3o3b
2o6bo4bo$25b2o19bo7bo2bo2bo5b6o$24bobo16bo8b3o3b2o6bo4bo$24bo18b2obo$
14b2o3bob2ob2o18bo$14b2o3b2obo$22bo$22b2o$13b3o41b2o$13b2obo2b2o32b2o
2b2o$15b2o2b2o32b2o2bob2o$15b2o41b3o$50b2o$51bo$51bob2o3b2o$29bo18b2ob
2obo3b2o$27bob2o18bo$2bo4bo6b2o3b3o8bo16bobo$2b6o5bo2bo2bo7bo19b2o$2bo
4bo6b2o3b3o5bo$27bo3$2b6o$bo6bo12b2o$o8bo12bo$bo6bo10b3o$2b6o11bo!

[JP21]

Here's a p54 pi-heptomino hassler based on a partial result by Mitchell Riley:

Code: Select all

rle

The pipsquirters are just there to remove extra pi-heptominoes that are created. It seems like there should be a smaller solution, but the smaller pi eaters I know of don't seem to fit here.

A smaller solution:

Code: Select all

x = 60, y = 36, rule = B3/S23
12bo$12b3o$15bo$14b2o$6b2o$7bo$7bobo$8b2o10bo$12b3o5bo$5b2o5bo7bo19b2o
$4bo2bo4b3o8bo16bobo$7bo12bob2o18bo$7bo14bo18b2ob2obo3b2o$bo3bobo36bob
2o3b2o$o3bobo37bo$o4bo37b2o$b4o3b2o41b3o$8b2o2b2o32b2o2bob2o$6b2obo2b
2o32b2o2b2o$6b3o41b2o3b4o$15b2o37bo4bo$15bo37bobo3bo$7b2o3b2obo36bobo
3bo$7b2o3bob2ob2o18bo14bo$17bo18b2obo12bo$17bobo16bo8b3o4bo2bo$18b2o
19bo7bo5b2o$39bo5b3o$39bo10b2o$50bobo$52bo$52b2o$44b2o$44bo$45b3o$47bo
!

[rattlesnake]

p30 beehive hassler:

Code: Select all

x = 32, y = 12, rule = B3/S23
20bo6bo$2bo4bo6b2o2bo2bo4bo2bo$2b6o5bo2bobo2bo4bo2bo$2bo4bo6b2o2bo2bo
4bo2bo$20bo6bo3$2b6o$bo6bo11bobo2bobo$o8bo6b2obo2bo2bo2bob2o$bo6bo11b
obo2bobo$2b6o!

p15 beehive hassler:

Code: Select all

x = 34, y = 11, rule = B3/S23
4bo6bo12bo6bo$2bo2bo4bo2bo2b2o5b2o6b2o$2bo2bo4bo2bobo2bo3b3o6b3o$2bo2b
o4bo2bo2b2o5b2o6b2o$4bo6bo12bo6bo4$4bobo2bobo$2obo2bo2bo2bob2o$4bobo2b
obo!