### Arrow (B3-jkn4a/S1e2-a3ijnry4n)

Posted:

**May 2nd, 2018, 7:53 pm**This rule has a family of adjustable-speed rakes (3c/(12n+6) orthogonal, n≥6):

These make use of somewhat Snowflakes-esque push and pull reactions, and like Snowflakes, the spaceships can "pass through" each other. Here is an example of square root bounding box growth:

These ships can be reflected in various ways, two of which are illustrated below; the right-hand one also functions as a period-doubling mechanism.

CGoL's c/4 diagonal glider is a c/2 orthogonal spaceship in this rule:

There are also 10c/20 spaceships, the most common of which is the following:

Apart from the adjustable-speed rakes, there is also this c/4 backrake:

This backrake can be tethered. In the following pattern, the tether is broken by stray gliders after about 25000 generations, creating an interesting ripple effect in the backrake's output:

There are also various small c/2 orthogonal puffers:

The name "Arrow" is derived from "adjustable rake rule" and inspired by names like Turro.

EDIT: a 5c/10 ship:

Code: Select all

`x = 135, y = 27, rule = B3-jkn4a/S1e2-a3ijnry4n`

4bo13bo13bo13bo13bo13bo13bo13bo13bo13bo$4bo13bo13bo13bo13bo13bo13bo13b

o13bo13bo3$2o5b2o5b2o5b2o5b2o5b2o5b2o5b2o5b2o5b2o5b2o5b2o5b2o5b2o5b2o

5b2o5b2o5b2o5b2o5b2o2$4bo13bo13bo13bo13bo13bo13bo13bo13bo13bo$4bo13bo

13bo13bo13bo13bo13bo13bo13bo13bo4$3b3o$4bo12b3o$18bo12b3o$32bo12b3o$

46bo12b3o$4bo55bo12b3o$4bo13bo55bo12b3o$18bo13bo55bo12b3o$32bo13bo55bo

12b3o$46bo13bo55bo12b3o$60bo13bo55bo$74bo13bo$88bo13bo$102bo13bo$116bo

13bo$130bo!

These make use of somewhat Snowflakes-esque push and pull reactions, and like Snowflakes, the spaceships can "pass through" each other. Here is an example of square root bounding box growth:

Code: Select all

`x = 38, y = 3, rule = B3-jkn4a/S1e2-a3ijnry4n`

19bo$2o16b2o16b2o$19bo!

These ships can be reflected in various ways, two of which are illustrated below; the right-hand one also functions as a period-doubling mechanism.

Code: Select all

`x = 37, y = 5, rule = B3-jkn4a/S1e2-a3ijnry4n`

35b2o$2o5bo$4b2obo26b2o$2o5bo$35b2o!

CGoL's c/4 diagonal glider is a c/2 orthogonal spaceship in this rule:

Code: Select all

`x = 3, y = 3, rule = B3-jkn4a/S1e2-a3ijnry4n`

bo$2bo$3o!

There are also 10c/20 spaceships, the most common of which is the following:

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`x = 8, y = 15, rule = B3-jkn4a/S1e2-a3ijnry4n`

b3ob3o$o$o3bobo$3o5$b2o2$2o$bo$3o$obo$3o!

Apart from the adjustable-speed rakes, there is also this c/4 backrake:

Code: Select all

`x = 5, y = 6, rule = B3-jkn4a/S1e2-a3ijnry4n`

2ob2o$obobo$b3o2$2bo$2bo!

This backrake can be tethered. In the following pattern, the tether is broken by stray gliders after about 25000 generations, creating an interesting ripple effect in the backrake's output:

Code: Select all

`x = 16, y = 16, rule = B3-jkn4a/S1e2-a3ijnry4n`

2b3obo2bo2b2obo$5o3bo2bo2b2o$b2o2bo3b4ob2o$o2bo3bo2b2o3bo$2ob6o6bo$bo

4bobo4b2o$3b10obo$2bob2ob2ob2obobo$4obo2bo2bobobo$o3bo2b2ob5o$ob3obob

2o4bo$ob3obob2o5bo$o3b3obo2bob3o$o3b2o2bo2bob2o$bo2b4obobob3o$obobo3bo

b5o!

There are also various small c/2 orthogonal puffers:

Code: Select all

`x = 9, y = 8, rule = B3-jkn4a/S1e2-a3ijnry4n`

7bo$7b2o$7bo$o2bo2bo$o2bo2b2o$o2bo2b3o$6bobo$8bo!

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`x = 15, y = 14, rule = B3-jkn4a/S1e2-a3ijnry4n`

bo3bo$3ob3o$3b3obo$13bo$9bo2b3o$8b3o$9bo3$4b3o$4bobo$4b2o$6bo$6b3o!

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`x = 7, y = 7, rule = B3-jkn4a/S1e2-a3ijnry4n`

b2o$2bo$2bo3bo$2bobobo$2bo3bo$2bo$3o!

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`x = 7, y = 16, rule = B3-jkn4a/S1e2-a3ijnry4n`

bo3bo$3ob3o$b3o11$4b3o$6bo$5bo!

The name "Arrow" is derived from "adjustable rake rule" and inspired by names like Turro.

EDIT: a 5c/10 ship:

Code: Select all

`x = 7, y = 14, rule = B3-jkn4a/S1e2-a3ijnry4n`

o$obo$o$2bo$o$o4bo$2o3bo$5bo$2b3o3$4bo$4bobo$4bo!