For example, in the 4-block twin bees shuttle, the entire configuration appears reflected across an orthogonal line that passes through the center of cells. These cells must necessarily oscillate at half the period (23 instead of 46) due to the reaction passing through them twice as often. This creates a gutter-like line of lower-period cells (hence "gutteroid" or "gutroid") where this happens. Were the line of time symmetry through the edges/vertices of cells, these lower period cells would not occur.

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```
x = 29, y = 11, rule = B3/S23
11bo$2o8b2o15b2o$2o7b2o16b2o$10b2o2b2o4$10b2o2b2o$2o7b2o16b2o$2o8b2o
15b2o$11bo!
```

Oscillators with the following kinetic symmetries will have gutteroids (you can check that they do using Identify):

n-f, 1D orthogonal, max n/2

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```
x = 29, y = 9, rule = B3-y/S23-k
2o2b2o4bo2b2o12b2o$2ob2o6b2obo12b2o$4bobo6bo$5b2o4b3o2$5b2o4b3o$4bobo6bo$3b2o
6b2obo$4b2o4bo2b2o!
```

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```
x = 3, y = 3, rule = B2-k3q4iy5ijr7c/S12k3ajr4it5ciqr6ae
obo$2bo$2bo!
```

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```
x = 2, y = 5, rule = B2ack3ac4einr5jn6-kn/S01e2c3ijnq4ajkrw5k6ck7e
o2$bo2$bo!
```

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```
x = 2, y = 3, rule = B3ai4a5aiy7e/S2-en3-ciky4i5i6i
bo$2o$bo!
```

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```
x = 2, y = 4, rule = B2ei3aij4a/S2aek3ar
bo$2o$2o$bo!
```

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```
x = 3, y = 3, rule = B3aijn4jt5k/S23ijn7c
2o$b2o$2bo!
```

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```
x = 3, y = 3, rule = B2ekn3eiy4cw/S12ae3j4w
3o$obo$b2o!
```

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```
x = 7, y = 5, rule = B2n3aijnr/S2-c3-ceky
b2o$3o$bobobo$4b3o$4b2o!
```

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```
x = 3, y = 5, rule = B2cek3ai4arz6n8/S02a3ijny4n5jny
o2$bo2$2bo!
```

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```
x = 5, y = 5, rule = B2in3cekr4r5r6n/S012ai3r4ry5a
3bo$obo2$2bobo$bo!
```

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```
x = 2, y = 5, rule = B2ac3nry4nt5er/S
o2$2o2$bo!
```

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```
x = 2, y = 4, rule = B2ac3ej4jr5r6k/S2c4acjr
o$bo$o$bo!
```

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```
x = 1, y = 3, rule = B2ai4eikr5i6i/S01e2i3ei5i6i7e
o2$o!
```

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```
x = 4, y = 4, rule = B2ck3iq4iw5r6k/S2k3a4ar6a
o2bo$o2bo$o2bo$o2bo!
```

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```
x = 5, y = 5, rule = B2en8/S01c5a
o2$2bo2$4bo!
```

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```
x = 15, y = 15, rule = B3/S23
7b3o$6bo2bo$7bo3bo$2bo5b3o$3bo5bo$2ob2o$o2bo9bo$obo9bobo$bo9bo2bo$10b2ob2o$5b
o5bo$4b3o5bo$3bo3bo$5bo2bo$5b3o!
```

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```
x = 8, y = 8, rule = B2n3/S2-ei3-cqy4q
bobo$3b2o2bo$4bo$b2o3b2o$2o3b2o$3bo$o2b2o$4bobo!
```

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```
x = 2, y = 4, rule = B2eik3ijqr4knqrtz5ijkn6-ci7e/S02aei3cijqy4aknq5c6e
bo$o2$bo!
```