the original (in the rightward orientation of the wiki infobox) is 13×11 and 42 cells, each reduction is 37 and the former is 11×10 while the latter (due to the snake) is 11×12
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x = 90, y = 32, rule = B3/S23
18b2o$19bo$18bo29b2o27b2o$12b2o4b2o25b2o2bo28bo$13bo2b2o3bo22bo2b2o28bo$13bobo2b4o22bobo2b3o19bob2obob3o$14bobobo26bobobo2bo18b2obobobo2bo$16bob4o25bob4o23bob4o$15bo2bo2bo24bo2bo25bo2bo$11b2o2bob4o20bo4bob5o17bo4bob5o$4b2ob2o2bo25b2obobo10bo12b2obobo10bo$5bobobobo4b2ob4o13bobobobo4b2ob3o12bobobobo4b2ob3o3b2o$2obobo3bob2o3b2obo2bo5bo7bo3bob2o3b2obo14bo3bob2o3b2obo5bo$ob2ob2o2bo16b3o4b2ob2o2bo16b2o3b2ob2o2bo16bo$4bo2bobob2o12bo7bobo2bobob2o12bo2bo2bobo2bobob2o12b2o$4bob2obob2o2b2o5b2o2bo8bob2obob2o2b2o5b2o2bobo5b3obob2o2b2o5b2o$5bo2bo5bo2bo2bo3b2obo6bobo2bo5bo2bo2bo3b2obo9bo5bo2bo2bo3b3o$6bo12bo2bobo2bo6bo2bo12bo2bobo2bobo4b2o12bo2bobo2bobo$3b3o8bo5bobo2b2ob2obo3b2o8bo5bobo2b2ob2o4bo8bo5bobo2b2ob2o$3bo5bo2bo3bo2b2obo3bobob2o11bo3bo2b2obo3bo8bo5bo3bo2b2obo3bo$9b5obo4bobobobo14b4obo4bobobobo7b2o3b4obo4bobobobo$20bo2b2ob2o12bo10bobob2o12bo10bobob2o$11b5o3b2o20b6o5bo17b6o5bo$10bo5bo30bo28bo$10b2o2b2o25b2o2b2o23b2o2b2o$13bobobo23bo2bobobo21bo2bobobob2o$10b4o2bobo23b3o2bobo21b3obob2obo$10bo3b2o2bo26b2o2bo24bo$12b2o4b2o24bo2b2o24bo$13bo30b2o27b2o$12bo$12b2o!Code: Select all
x = 32, y = 32, rule = DoubleB3S23
18.2A$19.A$17.BC$12.2A2B2.CA$13.C2.2C3.A$13.C.C2.3CA$14.C.C.C2.B$16.C.4C$15.C2.C2.A$10.B2A2.C.4CB$4.2ABCAB.C10.B$5.C.C.C.C4.2C.3CA$2A.A.C3.C.2C3.2C.C2.A5.A$A.2C.2C2.C16.2CA$2.B.C2.C.C.2C12.C2.B$4.C.2C.C.2C2.2C5.2C2.C.B$3.B.C2.C5.C2.C2.C3.2C.C$3.B2.C12.C2.C.C2.C.B$3.A2C8.C5.C.C2.2C.2C.A$3.A5.A2.C3.C2.2C.C3.C.A.2A$9.A4C.C4.C.C.C.C$9.B10.C.BACB2A$10.B5C3.2AB$10.A5.C$10.2C2.2C$10.B2.C.C.C$10.A3C2.C.C$10.A3.2C2.C$12.AC2.2B2A$13.CB$12.A$12.2A!Code: Select all
x = 32, y = 32, rule = TripleB3S23
18.2D$19.D$17.CG$12.2D2B2.GD$13.F2.FG3.D$11.A.GAFA.3GD$11.2A.G.G.G2.C$16.G.4G$15.G2.G2.D$10.C2D2.G.4GC$4.2DCGDC.G10.C$5.G.G.G.G4.2G.3GD2.2A$2D.D.G3.G.2G3.2G.G2.D2.A2.D$D.2G.2G2.G16.GFD$2.C.G2.G.G.2G12.GA.B$4.FA2G.G.2G2.2G5.2G2.F.B$3.B.F2.G5.G2.G2.G3.2GAF$3.B.AG12.G2.G.G2.G.C$3.DFG8.G5.G.G2.2G.2G.D$3.D2.A2.D2.G3.G2.2G.G3.G.D.2D$5.2A2.D4G.G4.G.G.G.G$9.C10.G.CDGC2D$10.C5G3.2DC$10.D5.G$10.2G2.2G$10.C2.G.G.G.2A$10.D3G.AFAG.A$10.D3.GF2.F$12.DG2.2B2D$13.GC$12.D$12.2D!Edit: it seems Matthias Merzenich showed four catalysts that are equivalent to it in this post from 2014-09-13, listed as reactions by Dean Hickerson, one of which (xs31_0o8wbdg6246zc45d1dd) is 9×12 and admits a 128-cell version of the 171-cell p12 in the page's embed
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x = 24, y = 24, rule = B3/S23
12b2o$7bob2o2bo$7b2obobo$12b2o2b2o$11bo2bo2bo$7b2o2bob4o$3b2o2bo$3bobobo4b2ob4o2b2o$5bob2o3b2obo2bo2bo$5bo16bo$2obobob2o12b2o$ob2obob2o2b2o5b2o$4bo5bo2bo2bo3b2obo$b2o12bo2bobob2o$bo8bo5bobo$2bo2bo2bo3bo2b2obo$b2o2b5obo4bobobo$16bo2b2o$7b5o3b2o$6bo5bo$6b2o2b2o$11bobob2o$10bo2b2obo$10b2o!