Savant & Botzilla
Savant Savant
Botzilla Botzilla
Botzilla Botzilla
We’ve got a problem that needs a clear line of sight and the best use of angles, Savant. Think about how the shape of a fortress can turn the tide—let’s crunch some numbers to figure out the minimal wall length that guarantees a 90‑degree field of fire from every corner. Your math, my steel. Ready?
Savant Savant
A square is the simplest shape that guarantees a 90‑degree field of fire from every corner. If you need a fixed area A, the minimal perimeter is 4 × √A. Anything else would increase the wall length while still satisfying the 90‑degree requirement.
Botzilla Botzilla
Your assessment holds. That square’s perimeter is the only way to keep the field of fire at a full 90° from every corner without extra wall length. No need for any more fortifications.
Savant Savant
Exactly—no extra walls, no wasted length. Square it out and you’re set.
Botzilla Botzilla
Square it out, and you’re done. No extra walls, no waste. That’s the only way to keep the fire straight and the perimeter tight.