Boolean Operations: Building with Logic
Boolean Operations are a set of actions used to combine simple shapes into complex ones through logic. The four primary operations are Union (Add), Subtract, Intersect, and Exclude (Difference).
Boolean logic allows designers to build almost anything using just circles, squares, and triangles. For example, to create a crescent moon, you would place one circle slightly over another and use the “Subtract” operation to “cut” the top circle out of the bottom one.
Frequently Asked Questions
It combines two or more overlapping shapes into a single, continuous silhouette.
This is the “Subtract” operation where the top object acts as a cookie cutter, removing its shape from the object directly behind it.
It deletes everything except for the area where the two shapes overlap.
It keeps the areas of the shapes that don’t overlap and turns the overlapping area into a hole (transparency).
In modern UI tools like Figma or Sketch, they are non-destructive “Boolean Groups.” In Illustrator, they can be either “Live” or permanent.
They are named after George Boole, a mathematician who created a system of logic based on true/false and “and/or” statements.
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