Unsynthesizable oscillator 1
x = 60, y = 53, rule = B3/S23
27b2ob2o$27bo3bo$28b3o$16bobo5b2o7b2o5bobo$14bo3bobo3b2o7b2o3bobo3bo$
12bo2bo4bobo2bo2b3o2bo2bobo4bo2bo$10bo2bobo4bo2b3obobobob3o2bo4bobo2bo
$11bob2o4b2obobo3bobo3bobob2o4b2obo$8bob2o10bo5b3o5bo10b2obo$7bob2o6b
5ob5o3b5ob5o6b2obo$8b2obob2obobo3bo2bobo3bobo2bo3bobob2obob2o$11b3o3bo
b2obo2b3o3b3o2bob2obo3b3o$6b3o5bo2b3o2b3o3b3o3b3o2b3o2bo5b3o$6bo2bo3bo
b2o5bobo3bobo3bobo5b2obo3bo3bo$8b2o3b2obo2bo2b3o2bobobo2b3o2bo2bob2o4b
2obo$10b2obob2obob2o3b2obobob2o3b2obob2obobo4bo$10bo2bobo3bobo3bobo3bo
bo3bobo3bobob5o$8b2o2b2o5b2obobob2o3b2obobob2o5bo6b3o$7bo6b5o2bobobo2b
3o2bobobo2b5ob5o4bo$4b2o2b3ob2o2bobo3bobo3bobo3bobo3bobo2bo3bo3bobo$3b
o2b2o2b2obo2b3o3b2obo2b3o3b2obo2b3o2bob2ob2obob2o$3b3o2b4o2b2o3b3o2bob
2o3b3o2bob2o3b3o2b4obo$6bobo4bobo3bobo3bobo3bobo3bobo3bobo7bo$5b2obo3b
4o3b3o2bobobo2b3o2bobobo2b3o2bo4bob2o$6b2o2b2o4b3o3b2obobob2o3b2obobob
2o3b2obo2b2ob2o$7bo3b2o3bobo3bobo3bobo3bobo3bobo3bob2o2bo$5bobob2ob2ob
obobobobobobobobobobobobobobobobobob2o$4bob2obo4bobobobobobobobobobobo
bobobobobobobo2bob2o$4bo5bob2obo3bobo3bobo3bobo3bobo3bobo7bobo$2b2ob3o
b2o2b3o3b2obobob2o3b2obobob2o3b2obob4o4bo$3bobo2bobo5b3o2bobobo2b3o2bo
bobo2b3o2bobo4b5o2bo$2bo2b2ob3o2bo2bobo3bobo3bobo3bobo3bobo3bob2obo5b
3o$2b2obobo3b2obob3o3b2obo2b3o3b2obo2b3o3b3o2b2ob3o$2o5bo3bobo5b3o2bob
2o3b3o2bob2o3b3o5bobo2bob2o$o2b3obo2bobobobo2bobo3bobo3bobo3bobo3bobo
2bo2b3ob2o2bo$b2o2b2ob2obobobobob3o2bobobo2b3o2bob2o3b3obob2o3bobo$3bo
bo2bobo3bobo5b2obobob2o3b2obo2b3o5bobo3bo3bo$3bobo2b2obobobobobo2bobo
3bobo3bobo3bobo2bobobobo2bobo$2b2o2bo2bobo2bobobobob2obobobobobobobo2b
3obobobobob2ob2o2bo$4b2o5bo5bobo3bobo2bobobobobob2o5bobo3bobo2bob2o$4b
ob4ob4obob2o5bo5bobo3bobo2bobobobobob2ob3o$5b2o3bo4bobo2b4ob4obobobobo
b2obobobobo2bobo5b2o$8bo2bob2obo3bobo4bobob3o2bobo3bobo5bo5bobo$5b2ob
2obo2b3o3b2o2b2o2b2o6bo5b2obob4obob3o2bo$6bo4bo5b3o2bobo3b2o2b3obob4o
2bobo5b2o3b2o$6bob3o3bobo2bo2bobo6bobo3bobobo3bob2ob2o3b2o$7bo3b2ob4ob
3obo3bobob2ob2obo2b2o3b3o3bo4bo$8b2o3bo5bob2o3bob2o2bob2obobo2b3o5bo4b
o$10b3ob3o9bo3b2o5bobobo3bobo2bobobo$10bo2bobo2bo2b2o4b3o7bob4ob4ob2ob
2o$13bo3b2obo2bo5bo5b2obo8bo3bo$14b3o3bobo12bo2bobo2bo2bob2obo$16bo3b
2o15b2ob2o3b2obobo!
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Pattern type
Oscillator
Number of cells
1077
Bounding box
60 × 53
Period
2 (mod : 2 )
Heat
717
Volatility
0.50 | 0.50
Kinetic symmetry
n
Discovered by
Oscar Cunningham Ilkka Törmä Ville Salo
Year of discovery
2022
Unsynthesizable oscillator 1 is an oscillator that is provably impossible to synthesize . It is the first such oscillator where the proof of impossibility does not involve the still life patch in the solution for unique father problem .
The first example was constructed on April 27, 2022 by Oscar Cunningham based on a "self-forcing" finite patch of period-2 agar found by Ilkka Törmä and Ville Salo .[ 1] Aleph is shown in the infobox.[ 2]
On February 27, 2026, Katrina discovered a smaller example with a 733-cell self-forcing patch, whose smallest stabilisation has a minimal population of 696.[ 3]
On October 10, 2026, 400spartans produced a 321-cell period-2 oscillator with a 275-cell self-forcing patch.[ 4]
x = 47, y = 43, rule = LifeHistory
20.A.A.A.A$11.2A.2A3.A.2A.2A.A3.2A.2A$10.A.A.A4.A7.A4.A.A.A$9.A2.A4.A.A.2A.2A.A.A4.A2.A$9.2A2.4A.A2.2A.2A2.A.4A2.2A$7.2A2.2A3.A6.A6.A3.2A2.2A$6.A2.3A.4A2.4A.4A2.4A.3A2.A$7.2A7.A.2A.A3.A.2A.A7.2A$8.A.A2.A6.A5.A6.A2.A.A$8.A.4A2.4A.5A.4A2.4A.A$6.2A2.A2.A.2A.A3.A.A3.A.2A.A2.A2.2A$5.A5.2A4.A5.A5.A4.2A5.A$6.2A.2A.2A.2A.5A.5A.2A.2A.2A.2A$8.2A2.D.AC3.A.A3.A.A3.CA.D2.2A$.2A3.2A2.A2D2C5DC5DC5D2C2DA2.2A3.2A$.A.A.A.A2.A.C2D2CA2CD2CA2CD2CA2C2DC.A2.A.A.A.A$3.A.A3.D.AC3DC.C3DC.C3DC.C3DCA.D3.A.A$2.A2.A2.2D2CDC3DC5DC5DC3DCD2C2D2.A2.A$.A4.2A.C2DCD3CD5CD5CD3CDC2DC.2A4.A$2.2A2.D.AC3DCDC3DCDC3DCDC3DCDC3DCA.D2.2A$4.A2D2CDC2D2C5DC5DC5D2C2DCD2C2DA$4.A.C2DCD2C2D5CD5CD5C2D2CDC2DC.A$5.AC3DCDC3DCDC3DCDC3DCDC3DCDC3DCA$4.ACDC2D2CDC3DC5DC5DC3DCD2C2DCDCA$2A.A.DCD2C2DCD3CD5CD5CD3CDC2D2CDCD.A.2A$.A.A3DCDC3DCDC3DCDC3DCDC3DCDC3DCDC3DA.A$A2.A.DCD2C2DCDC5DC5DC5DCDC2D2CDCD.A2.A$2A2.ACDC2D2CDCD5CD5CD5CDCD2C2DCDCA2.2A$5.AC3DCDC3DCDC3DCDC3DCDC3DCDC3DCA$4.A.C2DCD2C4DC5DC5DC4D2CDC2DC.A$4.A2D2CDC2D4CD5CD5CD4C2DCD2C2DA$2.2A2.D.AC3DCDC3DCDC3DCDC3DCDC3DCA.D2.2A$.A4.2A.C2DCDC5DC5DC5DCDC2DC.2A4.A$2.A2.A2.2D2CDCD5CD5CD5CDCD2C2D2.A2.A$3.A.A3.D.AC3DCDC3DCDC3DCDC3DCA.D3.A.A$.A.A.A.A2.A.C4DC5DC5DC4DC.A2.A.A.A.A$.2A3.2A2.A2D4CA5CA5CA4C2DA2.2A3.2A$8.2A6.3D3.3D3.3D6.2A$6.3A.2A3.2A2.A.2A.2A.A2.2A3.2A.3A$5.A5.A2.A.A2.2A.A.A.2A2.A.A2.A5.A$5.A.A2.2A.A19.A.2A2.A.A$6.2A2.A.A21.A.A2.2A$11.A23.A!
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A population-696 unconstructible p2, with a self-forcing patch of 733 specified cells.
(click above to open LifeViewer ) Catagolue :
here
References
External links
