Which geometry each operation takes

Points, lines and polygons, and what every analysis operation does with them — measured by running each combination rather than read off a specification.

Which geometry each operation takes

Nothing in the configuration declares this: the analysis panel offers every layer the map has, and whether an operation can answer is a property of the query it runs. Every cell below is one real run — the operation given that geometry, and the answer recorded as it came back.

returns features   runs, but the answer is empty for this combination   × refuses this geometry

Two-layer operations

Columns are the second layer's geometry; within each, p point, l line, g polygon is the first layer's.

second layer: pointsecond layer: linesecond layer: polygon
plpplpplp
Clip
Erase
Intersect
Union (overlay)
Select by location
Spatial join

Single-layer operations

pointlinepolygon
Dissolve
Statistics
Centroid
Label point
Buffer
Cartogram××
Voronoi
Delaunay
Convex hull
Simplify

An empty answer is usually geometry being honest rather than a limitation: a line clipped by a point keeps only the parts of the line that are that point, which is nothing unless the point lies exactly on it. A refusal is the operation saying the question does not apply — a cartogram sizes shapes by area, and a point has none.