Small Spacefillers

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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Rocknlol
Posts: 123
Joined: April 15th, 2012, 9:06 am

Small Spacefillers

Post by Rocknlol » November 17th, 2021, 9:25 pm

I've been conducting a non-exhaustive, targeted search for low-population/small-bounding box Max variants over the last few days using LLS. Below are the lowest-population variants I could find for each of their respective bounding boxes:

151-cell, 27x23:

Code: Select all

x = 27, y = 23, rule = B3/S23
17b2o$17bob2o$12b3o3b2obob2o$11bo2b3o2bobobo$4b2o4bo3b2o5b3o$4bo5bo5bo
bobo2bo$b4o7bo5bo$bo7bobo9bo2bobo$3bo2b2ob3ob2o6bobobo$o4bo3bobobo$bob
o3bobo2bo2b2o7bo$2bob2o2bo2bobobo2bo2b2obo$2bo7b2o2bo2bobo3bobo$13bobo
bo3bo4bo$bobobo6b2ob3ob2o2bo$obo2bo9bobo7bo$8bo5bo7b4o$3bo2bobobo5bo5b
o$3b3o5b2o3bo4b2o$3bobobo2b3o2bo$2b2obob2o3b3o$6b2obo$8b2o!
155-cell, 25x23:

Code: Select all

x = 25, y = 23, rule = B3/S23
16b2o$11bo5b2o3b2o$4b2o6b2o4b2o$2bo5bobo2b4ob3o2bo$3b3o3b2o2bo8bo$15bo
3bo3bo$4o7bo3bobobobo$o2bo4b3o10bobo$6bobobob2o6bo2b2o$4bobobo3bobo7bo
$3obo2b2ob2o3bo$bobo4bobobobobo4bobo$9bo3b2ob2o2bob3o$2bo7bobo3bobobo$
2o2bo6b2obobobo$bobo10b3o4bo2bo$3bobobobo3bo7b4o$bo3bo3bo$2bo8bo2b2o3b
3o$bo2b3ob4o2bobo5bo$5b2o4b2o6b2o$b2o3b2o5bo$7b2o!
161-cell, 25x21:

Code: Select all

x = 25, y = 21, rule = B3/S23
11bo2bob3obobo$16bobo2b2o$2bo6b3ob3obo4bobo$14bobo2bobo2bo$3b3o3bo11bo
$2o8b2o4b3o5bo$obo3bobo7bobobo$5b2o4b2o6bo2b2o$2bo3b3o3bo2b2o4bob2o$2b
ob2o2b3obobo2bob3ob2o$bo2bo5bobobo5bo2bo$2ob3obo2bobob3o2b2obo$2obo4b
2o2bo3b3o3bo$b2o2bo6b2o4b2o$4bobobo7bobo3bobo$o5b3o4b2o8b2o$3bo11bo3b
3o$o2bobo2bobo$obo4bob3ob3o6bo$2b2o2bobo$2bobob3obo2bo!
189-cell, 23x23

Code: Select all

x = 23, y = 23, rule = B3/S23
14bobobobo$b2o13b2o3b2o$4bo2bo2b2o5bo$b2obo4bo2b2obobo2bobo$4b2obobo2b
o2bo2b2o$bo2b3o6bobo3bob2o$o2bo2bob2o2b2o2b2obo2bo$o4b2o2bo5bobo2bobo$
3o4bobob2o2b2o3bobo$5b3o6bo3b2o$ob3o2bob2o4bo2b2ob2o$obo5b2obob2o5bobo
$2ob2o2bo4b2obo2b3obo$3b2o3bo6b3o$obo3b2o2b2obobo4b3o$obo2bobo5bo2b2o
4bo$o2bob2o2b2o2b2obo2bo2bo$2obo3bobo6b3o2bo$3b2o2bo2bo2bobob2o$obo2bo
bob2o2bo4bob2o$5bo5b2o2bo2bo$2o3b2o13b2o$2bobobobo!

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