As 1 is an odd number, there are no strictly kinetically symmetric oscillators of this period. As a result, all period-1 oscillators are time-asymmetric.
n
-c
-e
/
x = 2, y = 3, rule = B/S12k
o$bo$bo!
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x = 2, y = 3, rule = B/S1c2c
bo$o$bo!
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x = 2, y = 4, rule = B/S1c2k
bo$o$o$bo!
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x = 2, y = 2, rule = B/S2ae
2o$bo!
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.c
.e
.k
+c
x = 3, y = 3, rule = B/S2ae4z
2o$bo$b2o!
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x = 2, y = 3, rule = B/S2a3j
o$2o$bo!
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x = 2, y = 4, rule = B/S1c2c
o$bo$o$bo!
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x = 1, y = 3, rule = B/S1e2i
o$o$o!
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+e
+k
xc
xk
x = 1, y = 2, rule = B/S1e
o$o!
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x = 2, y = 4, rule = B/S3a5i
2o$2o$2o$2o!
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x = 3, y = 3, rule = B/S1c2n
o$bo$2bo!
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x = 2, y = 2, rule = B/S1c
o$bo!
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rc
rk
*c
*k
x = 5, y = 5, rule = B/S1c3c
3bo$obo$bobo$2bobo$bo!
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x = 4, y = 4, rule = B/S2a5n
2bo$3o$b3o$bo!
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x = 1, y = 1, rule = B/S0
o!
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x = 2, y = 2, rule = B/S3a
2o$2o!
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