Here is another p5 oscillator, in a two-state isotropic CA with range-2 weighted neighbourhood:
That p5 oscillator is compatible with glider 3736 without increasing the range (however, weights of neighbours are different):
That p5 oscillator is also compatible with the Snark from CGoL, again without increasing the range:
The Snark is compatible with the glider 3736, although I had to increase the range of neighbourhood:
Code:
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x = 86, y = 65, rule = R3,C0,S10-19,30-39,50-59,75-79,135-144,155-164,175-184,200-204,260-269,280-289,300-309,325-329,385-394,405-414,425-434,450-454,510-519,530-539,550-559,575-579,635-644,655-664,675-684,700-704,760-769,780-789,800-809,825-829,885-894,905-914,925-934,950-954,1010-1019,1030-1039,1050-1059,1075-1079,1135-1144,1155-1164,1175-1184,1200-1204,1260-1269,1280-1289,1300-1309,1325-1329,1385-1394,1405-1414,1425-1434,1450-1454,1510-1519,1530-1539,1550-1559,1575-1579,1635-1644,1655-1664,1675-1684,1700-1704,1760-1769,1780-1789,1800-1809,1825-1829,1885-1894,1905-1914,1925-1934,1950-1954,2010-2019,2030-2039,2050-2059,2075-2079,2135-2144,2155-2164,2175-2184,2200-2204,2260-2269,2280-2289,2300-2309,2325-2329,2385-2394,2405-2414,2425-2434,2450-2454,2510-2519,2530-2539,2550-2559,2575-2579,B15-19,35-39,55-59,75-79,140-144,160-164,180-184,200-204,265-269,285-289,305-309,316,318,325-329,336,390-394,410-414,430-434,450-454,515-519,535-539,555-559,575-579,640-644,660-664,680-684,700-704,765-769,785-789,805-809,825-829,890-894,910-914,930-934,950-954,961,1015-1019,1035-1039,1055-1059,1075-1079,1140-1144,1160-1164,1180-1184,1200-1204,1265-1269,1285-1289,1305-1309,1325-1329,1390-1394,1410-1414,1430-1434,1450-1454,1515-1519,1535-1539,1555-1559,1575-1579,1640-1644,1660-1664,1680-1684,1700-1704,1765-1769,1785-1789,1805-1809,1825-1829,1890-1894,1910-1914,1930-1934,1950-1954,2015-2019,2035-2039,2055-2059,2075-2079,2140-2144,2160-2164,2180-2184,2200-2204,2265-2269,2285-2289,2305-2309,2325-2329,2390-2394,2410-2414,2430-2434,2450-2454,2515-2519,2535-2539,2555-2559,2575-2579,NW7D7D0000007D7D7D007D017D007D007D1905197D0000010500050100007D1905197D007D007D017D007D7D7D0000007D7D
27b2o$27bobo$29bo4b2o$25b4ob2o2bo2bo$25bo2bobobobob2o$28bobobobo$29b2o
bobo$33bo$29bo$19b2o7b3o$20bo6bobobo$20bobo4bo3bo$21b3ob2o5b2o$23b2o4b
o4bo$23b3o2bob2o2b2o$24bob6obo$25b2o$26bo2$31b2o22bo$22b3o6bo21b3o$24b
o7b3o17bo$23bo10bo9bo7b2o$42bobo5b3o$43b2o4b3o$48bobobo7b2o$47b3o2bo8b
o$3b2o44bo3b2o6bob2o$4bo44b2o4bo3b3o2bo$2bo11bo34bobo2b3obo3b2o$2b5o6b
2o6b2o26b2o4bo2b4o$7bo4bo2bo5bo22b2o3b2o2b2o6bo$4b3o5bo6bobo21bobo6bo
5b3o$3bo6b2o2b2o3b2o22bo5bo2bo4bo$3b4o2bo4b2o26b2o6b2o6b5o$b2o3bob3o2b
obo34bo11bo$o2b3o3bo4b2o44bo$2obo6b2o3bo44b2o$3bo8bo2b3o$3b2o7bobobo$
13b3o4b2o$12b3o5bobo$11b2o7bo9bo10bo$12bo17b3o7bo$9b3o21bo6b3o$9bo22b
2o2$38bo44bo$38b2o42bobo$31bob6obo40bo3bo$29b2o2b2obo2b3o39bo3bo$30bo
4bo4b2o39bobobo$31b2o5b2ob3o39bo$33bo3bo4bobo37bobo$33bobobo6bo$34b3o
7b2o$35bo$31bo$30bobob2o$30bobobobo$27b2obobobobo2bo$27bo2bo2b2ob4o$
29b2o4bo$35bobo$36b2o!
Unfortunately I couldn't find a way to put all three objects (the p5 oscillator, glider 3736 and the Snark) into a single two-state isotropic CA defined using a fully-symmetric weighted neighbourhood with range 3 or less. (Probably this can be done by emulating full "range-2 isotropic" but I did not attempt to do that. Might be solvable with a range-4 weighted neighbourhood, or with some asymmetrically-weighted neighbourhood.)
I would assume that this is ontopic in this thread, because neither of the specific rulesets is likely to be notable.