For Reference, Graphic Boolean Operators I, The Basics

Images

Awareness of the outside world. Speaking of intersections, enjoy Venn diagram humor at Indexed.
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A design choice one does not have with pen and paper. Been trying to learn these Inkscape commands so I can use them. Feel free to point out any errors or jump in with clarifications or offer clever tips on how to keep this all straight.

Union

Layers: Result the same. Color from bottom shape.

In formal logic, or search protocols, this would be OR. All points from this group or from that group.

How can the same operation be “union” and “or”? This makes no sense semantically.

Difference

Layers: Result not the same. Color from bottom shape.

Logical NOT

Aide memoire. Top takes a bite out of bottom & then disappears.

Intersection

Layers: Result the same. Color from bottom shape.

Logical AND. Points that are in this group and in that group.

Exclusion

Layers: Result the same. Color from bottom shape.

Logical XOR. I think?

Where there is no overlap.

Notes

Raising & lowering is in the object menu. Union etc is in the path menu.

Boolean Game. Been playing this repeatedly until I can get the correct answer from understanding rather than from fortuitous button pushing. I need to buy the creator a coffee.

For The Future

Inkscape commands: Division, Cut Path, Combine, Break Apart

Boolean searching

Multiple shapes

The rest of the logic gates: NAND, NOR, XNOR

Stay safe. Stay sane.
Katherine