As 3 is an odd number, there are no strictly kinetically symmetric oscillators of this period. As a result, all period-3 oscillators are time-asymmetric.
n
-c
-e
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x = 2, y = 3, rule = B3r4a/S012ae
2o2$bo!
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x = 2, y = 3, rule = B3ae/S1c2ac3i4i
bo$o$bo!
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x = 2, y = 4, rule = B2e3iq/S01c2ak
bo$o$o$bo!
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x = 3, y = 3, rule = B3ce/S012e
obo2$2bo!
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.c
.e
.k
+c
x = 3, y = 5, rule = B2k4a/S02ai4z
o2$bo2$2bo!
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x = 3, y = 4, rule = B3aqr/S1e2a
o$o$2bo$2bo!
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x = 2, y = 4, rule = B2c3eij/S1e2c4r
o$o$bo$bo!
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x = 1, y = 3, rule = B2ai/S1e2ci3e
o$o$o!
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+e
+v
xc
xk
x = 1, y = 4, rule = B3i5y/S2ci3a
o$o$o$o!
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x = 4, y = 4, rule = B3i5y/S1e2ci3i4a6a
o2bo$o2bo$o2bo$o2bo!
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x = 3, y = 3, rule = B2en/S01c2n3a
o2$2bo!
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x = 4, y = 4, rule = B2n4e/S1c2ac
bo$o$3bo$2bo!
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rc
rk
*c
*k
x = 5, y = 5, rule = B2k/S01e2a4cr8
3bo$o$2bo$4bo$bo!
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x = 6, y = 6, rule = B2k3r/S01e5n
3bo2$ob2o$2b2obo2$2bo!
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x = 3, y = 3, rule = B2i3a4e/S2c
bo$obo$bo!
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x = 4, y = 4, rule = B3aj4w/S2k7c
b2o$o2bo$o2bo$b2o!
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