Great dodecacronic hexecontahedron explained
In geometry, the great dodecacronic hexecontahedron (or great lanceal ditriacontahedron) is a nonconvex isohedral polyhedron. It is the dual of the uniform great dodecicosidodecahedron. Its 60 intersecting quadrilateral faces are kites. Part of each kite lies inside the solid, hence is invisible in solid models.
Proportions
Each kite has two angles of
\sqrt{5}) ≈ 69.78819819411\circ
, one of
\sqrt{5}) ≈ 91.51239472074\circ
and one of
\sqrt{5}) ≈ 128.91120889104\circ
. The
dihedral angle equals
})\approx 91.553\,403\,672\,16^. The ratio between the lengths of the long and short edges is
}\approx 1.259\,463\,815\,11