wwei23 wrote:I found a potential induction coil. Now we just need to stabilize it.

`x = 5, y = 10, rule = B3/S23`

2bo$b3o$o3bo$2ob2o$bobo$bobo$2ob2o$o3bo$b3o$2bo!

Edit:

Never mind:

Because all the living cells of the seed have three living neighbors, no cells can be on adjacent to any of them. These cells are shown in blue:

`x = 7, y = 12, rule = LifeHistory`

2.3B$.2BA2B$2B3A2B$BA3BAB$B2AB2AB$2BABA2B$2BABA2B$B2AB2AB$BA3BAB$2B3A

2B$.2BA2B$2.3B!

Therefore, none of the red cells can be on, because they will cause a birth at gray. But all other surrounding cells except for the seed cells are blue, so the red cells must be off:

`x = 7, y = 12, rule = LifeHistory`

2.3B$D2BA2BD$BF3AFB$BA3BAB$B2AB2AB$2BABA2B$2BABA2B$B2AB2AB$BA3BAB$BF

3AFB$D2BA2BD$2.3B!

So all cells forced off are shown in blue:

`x = 7, y = 12, rule = LifeHistory`

2.3B$3BA3B$2B3A2B$BA3BAB$B2AB2AB$2BABA2B$2BABA2B$B2AB2AB$BA3BAB$2B3A

2B$3BA3B$2.3B!

The red cells have three on neighbors, four forced off neighbors, and one unset neighbor. To prevent a birth at red, the unset neighbor must be forced on:

`x = 7, y = 12, rule = LifeHistory`

.A3BA$2BDAD2B$2B3A2B$BA3BAB$B2AB2AB$2BABA2B$2BABA2B$B2AB2AB$BA3BAB$2B

3A2B$2BDAD2B$.A3BA!

So this is the pattern so far:

`x = 7, y = 12, rule = LifeHistory`

.A3BA$3BA3B$2B3A2B$BA3BAB$B2AB2AB$2BABA2B$2BABA2B$B2AB2AB$BA3BAB$2B3A

2B$3BA3B$.A3BA!

Because the red cells would cause a birth at gray, and all other neighbors are either seed cells, cells forced on, or blue, the red cells must be off:

`x = 7, y = 12, rule = LifeHistory`

DA3BAD$BFBABFB$2B3A2B$BA3BAB$B2AB2AB$2BABA2B$2BABA2B$B2AB2AB$BA3BAB$

2B3A2B$BFBABFB$DA3BAD!

All blue cells must be off:

`x = 7, y = 12, rule = LifeHistory`

BA3BAB$3BA3B$2B3A2B$BA3BAB$B2AB2AB$2BABA2B$2BABA2B$B2AB2AB$BA3BAB$2B

3A2B$3BA3B$BA3BAB!

Because each of the gray cells are on, they must have three living neighbors:

`x = 7, y = 12, rule = LifeHistory`

BF3BFB$3BA3B$2B3A2B$BA3BAB$B2AB2AB$2BABA2B$2BABA2B$B2AB2AB$BA3BAB$2B

3A2B$3BA3B$BF3BFB!

And they have exactly three unset neighbors each, in red:

`x = 7, y = 14, rule = LifeHistory`

3D.3D$BA3BAB$3BA3B$2B3A2B$BA3BAB$B2AB2AB$2BABA2B$2BABA2B$B2AB2AB$BA3B

AB$2B3A2B$3BA3B$BA3BAB$3D.3D!

So we can force them to be on:

`x = 7, y = 14, rule = LifeHistory`

3A.3A$BA3BAB$3BA3B$2B3A2B$BA3BAB$B2AB2AB$2BABA2B$2BABA2B$B2AB2AB$BA3B

AB$2B3A2B$3BA3B$BA3BAB$3A.3A!

The red cells are off, with three on neighbors:

`x = 7, y = 14, rule = LifeHistory`

3A.3A$BABDBAB$3BA3B$2B3A2B$BA3BAB$B2AB2AB$2BABA2B$2BABA2B$B2AB2AB$BA

3BAB$2B3A2B$3BA3B$BABDBAB$3A.3A!

And one gray unset neighbor:

`x = 7, y = 14, rule = LifeHistory`

3AF3A$BABDBAB$3BA3B$2B3A2B$BA3BAB$B2AB2AB$2BABA2B$2BABA2B$B2AB2AB$BA

3BAB$2B3A2B$3BA3B$BABDBAB$3AF3A!

To prevent a birth at red, the gray cells must be on:

`x = 7, y = 14, rule = LifeHistory`

7A$BABDBAB$3BA3B$2B3A2B$BA3BAB$B2AB2AB$2BABA2B$2BABA2B$B2AB2AB$BA3BAB

$2B3A2B$3BA3B$BABDBAB$7A!

Because some forced on cells have three living neighbors, none of their surrounding neighbors can be on, or else they die:

`x = 7, y = 16, rule = LifeHistory`

7B$7A$BA3BAB$3BA3B$2B3A2B$BA3BAB$B2AB2AB$2BABA2B$2BABA2B$B2AB2AB$BA3B

AB$2B3A2B$3BA3B$BA3BAB$7A$7B!

But that leaves two forced on cells shown in red that have only two neighbors. And because of their surrounding forced on cells that have three, they have no unset neighbors to be forced on:

`x = 7, y = 16, rule = LifeHistory`

7B$3AD3A$BA3BAB$3BA3B$2B3A2B$BA3BAB$B2AB2AB$2BABA2B$2BABA2B$B2AB2AB$B

A3BAB$2B3A2B$3BA3B$BA3BAB$3AD3A$7B!

And therefore the initial pattern, the seed, cannot be stabilized.