gyroparallelogram noun1 •A hyperbolic quadrilateral whose two gyrodiagonals intersect at their gyromidpoints, analogous to a parallelogram in Euclidean space.The 6 faces of a parallelepiped are parallelograms while, in general, the 6 faces of a gyroparallelepiped are not gyroparallelograms. — 2005 formsgyroparallelograms