Something’s not working the way it seems like it should.

When I graphed |x|+|y|=|x-3|+|y-3|

I saw a mess!

But I expected the segment from (0,3) to (3,0) (which was correct), plus the quarter planes above and left of (0,3) and below and right of (3,0), which didn’t look right at all.

Here’s the link to the page, dashboard, or activity: I broke Desmos (taxicab geometry)

(This is a special case when the segment connecting the two given points is at a slope of +/- 1)

There were some similar issues with |x|+|y|+|x-1|+|y-5|=6 which should be a rectangle and its interior but was just the rectangle: Should shade interior of rectangle

(This is a special case when the sum of the taxicab distances is equal to the distance between the points.)