`@RULE ChaseShipBin`

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**** COMPILED FROM NUTSHELL ****

**** v0.5.7 ****

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0: vaccuum

1: start

2: left c2 1

3: left c2 2

4: binary counter

5: binary 1

6: binary thing

7: counter stop

8: stop explode

9: count eraser

10: startmarker

11: c/1 left

12: reactivator

13: death

14: complete count eraser

@TABLE

neighborhood: vonNeumann

symmetries: none

n_states: 15

var any.0 = {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14}

var any.1 = any.0

var any.2 = any.0

var any.3 = any.0

var _a0.0 = {2,3}

var _b0.0 = {1,2,3,5,6,7,8,9,10,11,12,13,14}

var _c0.0 = {0,5,6}

var _d0.0 = {0,1,2,3,4,5,7,8,9,10,11,12,13,14}

0, any.0, 1, any.1, any.2, 2

1, any.0, any.1, any.2, any.3, 4

0, any.0, 11, _a0.0, any.1, 5

_a0.0, 5, any.0, any.1, any.2, 12

0, 11, any.0, any.1, 3, 4

0, 5, any.0, any.1, 2, 13

_b0.0, any.0, 13, any.1, any.2, 13

_b0.0, any.0, any.1, 13, any.2, 13

13, any.0, any.1, any.2, any.3, 0

2, any.0, any.1, any.2, any.3, 3

3, any.0, any.1, any.2, any.3, 0

0, any.0, 3, any.1, any.2, 2

_c0.0, any.0, 9, any.1, any.2, 9

9, any.0, any.1, any.2, 4, 10

9, any.0, any.1, any.2, _d0.0, 0

4, any.0, 9, any.1, any.2, 0

14, any.0, 1, any.1, any.2, 2

14, any.0, any.1, any.2, any.3, 0

4, any.0, 14, any.1, any.2, 12

6, any.0, 10, any.1, any.2, 14

any.0, any.1, 14, any.2, any.3, 14

0, any.0, any.1, any.2, 4, 5

5, any.0, any.1, any.2, 4, 6

5, any.0, any.1, any.2, 6, 6

6, any.0, any.1, any.2, any.3, 0

0, any.0, any.1, any.2, 6, 5

7, any.0, any.1, any.2, 6, 8

0, any.0, any.1, 8, any.2, 11

0, any.0, any.1, any.2, 8, 7

8, any.0, any.1, any.2, any.3, 9

0, any.0, 11, any.1, any.2, 11

11, any.0, any.1, any.2, any.3, 0

0, any.0, any.1, any.2, 12, 12

12, any.0, any.1, any.2, any.3, 0

10, any.0, any.1, any.2, 12, 1

6, any.0, 10, any.1, any.2, 14

In this version, instead of creating a photon "reactivator", it uses another binary counter, and once the binary counter reaches the ship, it creates a photon that erases the counter and bounces back and reactivates the ship. This keeps the constant population at 2 and makes it slower as well.

The width 4 ship has speed c/1589o and the width 5 ship is a c/393309o. I've calculated that the period for the width 6 ship is around 6 442 451 107, give or take at most 2.

I have yet to find the formula for the speed.