What do the 6 different "Path" options do in Inkscape?

Question

In inkscape, on the "Path" drop down, there are (among others) 6 options:

• Union
• Difference
• Intersection
• Exclusion
• Division
• Cut path

What do each of these do?

Answer 1

The Union Option:

Here we see the 2 paths become 1. The colour is taken from whichever shape is on top.

The Difference Option:

In this one, whichever image is on top has it's shape "removed" from the one below (like cookie dough cutter). The colour is taken from whichever shape is on the bottom.

The Intersection Option:

The overlap is the only bit kept here. If there is no overlap, nothing will be left over. The colour is taken from whichever shape is on the bottom.

The Exclusion Option:

In this one the overlap is removed, and the rest is kept. The colour is taken from whichever shape is on the bottom.

The Division Option:

This is like using the Difference Option and the Intersection Option one after the other. It creates 2 shapes. The colour is taken from whichever shape is on the bottom.

The Cut Paths Option:

This one is quite messed up. When I first did it, the results were completely transparent. However, on the left we have a whole square (no change) and on the right we have a circle cut into 2, like the Division option.

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