[INTENSE MATHS] How to find strongholds Moogle style

[The_DarthMoogle]

Okay. I wanna find strongholds so bad but I only got two eyes of ender. How do?

Like this.

Imagine from birds-eye-view that the Minecraft world is a big graph of X and Y. Oh wait, it is. So for all subsequent coordinate geometry, use the X and Z values given to you within Minecraft. I will refer to Z as Y.

Let A be the point at which an Eye of Ender is thrown, and let B be the point at which it lands. Do this two times, on level ground. Let D be the distance between A1 and A2

Let S mark the spot where your stronghold is.

Let vectors

V1=B1-A1

V2=B2-A2

and

D=A2-A1

We seek S, where the relationship can be defined as

S=A1+k1V1 where k1 is unknown.

We can substitute to give us

A1+k1V1=A2+k2V2

Therefore D=[V1V2][k1,k2]

Now it gets tricky.

[V1xV2x,V1yV2y]x[k1,k2]=[A2x-A1x,A2y-A1y]

so we can find k1

k1=(A2x-A1x)V2y-(A2y-A1y)V2x / V1xV2y-V1yV2x

now we can dump that into our original X equation to get our solution!

S=A1+{(DxV2y-DyV2x) / (V1xV2y-V1yV2x)}V1

It's late, so I won't be going through the trigonometry required to locate the other two strongholds quite yet, so stay tuned!

(The moral of the story, I really needed a bloody subscript button on the Rich Text editor)

[Lothos]

AIIIIIIIIIIIIIIIIIIIIIIIYEEEEEEEEEEEEYEYEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!

the maths...it hurts me eyes!!!!!!!!!!!!!!!!!!!!!!!!!

[The_DarthMoogle]

AIIIIIIIIIIIIIIIIIIIIIIIYEEEEEEEEEEEEYEYEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!

the maths...it hurts me eyes!!!!!!!!!!!!!!!!!!!!!!!!!

Yes. It is rather intense, isn't it.

[Hushful]

Or spawn in the eyes and spam them like crazy until you find one...

[charcharmunro]

Should also have some conditionals in there that 640 < S < 1152.

[Lear85]

Anyone wanna put this in terms that aren't so... Painful?

[racingpro]

Why? It's only vectors and algebra. And some trig, if Moogle finises it. Not that hard.

[Lear85]

Yes, but it's also 11:58 pm, so everything that requires use of the brain is a lost cause.

[The_DarthMoogle]

Why? It's only vectors and algebra. And some trig, if Moogle finises it. Not that hard.

Now consider both the average mental age and actual age demographic of this forum.

[racingpro]

I blame them for not being old enough to know it. Although I will admit that I hate trig, but I can still do it.