Stable patterns which are not glider-constructible

[400spartans]

Population 321 unsynthesizable p2 oscillator:

Code: Select all

x = 32, y = 27, rule = B3/S23
5b2o4b2o4b2o4b2o$4bo2bo2bo2bo2bo2bo2bo2bo$4b3o2bo2bo2bo2bo2bo2bo2b2o$
2b2o6b2o4b2o4b2o4bo$3bo2b2ob2ob2ob2ob2ob2ob2obo$3bobob2o4b2o4b2o4b2ob
3o$2b2obo2bo2bo2bo2bo2bo2bo2bobo2bo$5b2o2b4o2b4o2b4o5b2o$4b2o2bo2bo2bo
2bo2bo2bo2b2o$b2obo2b2o4b2o4b2o4b2obo$obobob2ob2ob2ob2ob2ob2ob2o2bo$bo
3bo4b2o4b2o4b2o3bo$7bo2bo2bo2bo2bo2bo2bo2b3o$6b4o2b4o2b4o2b4o3bo$7bo2b
o2bo2bo2bo2bo2bo2b3o$bo3bo4b2o4b2o4b2o3bo$obobob2ob2ob2ob2ob2ob2ob2o2b
o$b2obo2b2o4b2o4b2o4b2obo$4b2o2bo2bo2bo2bo2bo2bo2b2o$5b2o2b4o2b4o2b4o
5b2o$2b2obo2bo2bo2bo2bo2bo2bo2bobo2bo$3bobob2o4b2o4b2o4b2ob3o$3bo2b2ob
2ob2ob2ob2ob2ob2obo$2b2o6b2o4b2o4b2o4bo$4b3o2bo2bo2bo2bo2bo2bo2b2o$4bo
2bo2bo2bo2bo2bo2bo2bo$5b2o4b2o4b2o4b2o!

and a LifeHistory view of a 275-cell self-forcing patch for this oscillator (in phase-1):

Code: Select all

x = 32, y = 27, rule = LifeHistory
5.2A4.2A4.2A4.2A$4.A2.A2.A2.A2.A2.A2.A2.A$4.3A2.A2.A2.A2.A2.A2.A2.2A$
2.2A3.2A4.2A4.2A4.2A.A$3.A2.2A.2A.2A.2A.2A.2A.2A.A$3.A.A4.2A4.2A4.2A
4.3A$2.2A.A2.A2DC2DC2DC2DC2DCD.A.A2.A$3.A2.2A2C2D4C2D4C2DC2A3.2A$3.2A
.2DC2DC2DC2DC2DC2DCD.2A$.2A.A.4D2C4D2C4D2CD3.A$A.A.A.2CD2CD2CD2CD2CD
2CDCA2.A$.A3.AD2C4D2C4D2C4D3A$6.DC2DC2DC2DC2DC2DC2DA2.3A$6.C2D4C2D4C
2D4C2.A3.A$6.DC2DC2DC2DC2DC2DC2DA2.3A$.A3.AD2C4D2C4D2C4D3A$A.A.A.2CD
2CD2CD2CD2CD2CDCA2.A$.2A.A.4D2C4D2C4D2CD3.A$3.2A.2DC2DC2DC2DC2DC2DCD.
2A$3.A2.2A2C2D4C2D4C2DC2A3.2A$2.2A.A2.A2DC2DC2DC2DC2DCD.A.A2.A$3.A.A
4.2A4.2A4.2A4.3A$3.A2.2A.2A.2A.2A.2A.2A.2A.A$2.2A3.2A4.2A4.2A4.2A.A$
4.3A2.A2.A2.A2.A2.A2.A2.2A$4.A2.A2.A2.A2.A2.A2.A2.A$5.2A4.2A4.2A4.2A!

The patch forces a copy of itself two generations back.