# Cyclic

A cyclic permutation of an ordered set is achieved by mapping each object to its successor, the last object being mapped to the first.

For example:

(1, 2, 3) → (2, 3, 1) → (3, 1, 2)

The first permutation is denoted by:

(1 2 3, 2 3 1)

A cyclic quadrilateral is a four-sided plane shape having vertices lying on the perimeter of a circle.

The opposite angles of a cyclic quadrilateral are supplementary.

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