@lilithebowman
Would you be able to add a photo of this running on target hardware?

I'm also curious if a CRT will render it better, if you have one lying around.
The CGA format was created for CRTs and LCD panels don't render them very well.
https://www.youtube.com/watch?v=niKblgZupOc

Although I'm not doing any colour tricks, the colours themselves may look better on CRT anyway.

Falling back to LCD is fine, MVP is just seeing this on actual hardware =)

In this line, I know you're trying to illustrate what you're doing by showing the 2^2, but doing that calculation on bare metal, on an XT class system like I'm doing right now, is pretty slow. So I changed this out for a 4.

The Micro8088 is a great project for QBASIC fun like this!

x2 = 0
y2 = 0
DO
xt = x2 - y2 + sx
...
x2 = x * x
y2 = x * x
LOOP (x2 + y2 < 4) AND (i < maxi)