Constructibility

(Also see constructability)

In mathematics, there are several notions of constructibility. Each of the following is by definition constructible:

• a point in the Euclidean plane that can be constructed with compass and straightedge. Also, any complex number associated to such a point; see constructible number.
• a regular polygon that can be constructed with compass and straightedge; see constructible polygon.
• a theorem that can be proved by constructive logic; see mathematical constructivism.
• a set in Kurt Gödel's universe L, which may be constructed by transfinite application of certain constructions in set theory; see constructible universe.

The term may also refer to:

• a process in construction design whereby plans are reviewed by others familiar with construction techniques and materials to assess whether the design is actually buildable. Often referred to as a "Constructability Review", the process usually occurs prior to the plans being put out for bid.