# Rectangle bounds of isometric object to isometric bounds

This might sound confusing, but this is what I'm trying to achieve: project to: I already have an algorithm in my mind, where we simply detect the corners touching the Cartesian rectangle and calculate the bounds from there, but I just wanted to see if there were more clever ways of solving this problem.

Note

• It's not a homework

• I don't want a full answer, just a pointer, wondering if there are more clever ways of solving it.

• The isometric object can be a rectangle, it's width and height might differ.

• Wouldn't the cartesian bounds of the rectangle with h=1 and w=2 be equal to the bounds of the rectangle with h=2 and w=1? – ratchet freak Jun 28 '17 at 13:15
• @ratchetfreak h=2 and w=1 on isometric space? If so, I think not, the image that I posted has the same w and h on isometric space with 2:1 Cartesian bounds, but we could fit different objects with different isometric dimensions on the same Cartesian bounds. – Test Jun 28 '17 at 15:13
• Thinking again, my algorithm should take circles into account. – Test Jun 28 '17 at 15:15