Editing Deltoidal hexecontahedron (section)

==Lengths and angles==
The 60 faces are deltoids or [[kite (geometry)|kites]]. The short and long edges of each kite are in the ratio <math display="inline">1:\frac{7+\sqrt{5}}{6}</math> ≈ 1:1.539344663...

The angle between two short edges in a single face is <math display="inline">\arccos(\frac{-5-2\sqrt{5}}{20})</math> ≈ 118.2686774705°. The opposite angle, between long edges, is <math display="inline">\arccos(\frac{-5+9\sqrt{5}}{40})</math> ≈ 67.783011547435°. The other two angles of each face, between a short and a long edge each, are both equal to <math display="inline">\arccos(\frac{5-2\sqrt{5}}{10})</math> ≈ 86.97415549104°.

The dihedral angle between any pair of adjacent faces is <math display="inline">\arccos(\frac{-19-8\sqrt{5}}{41})</math> ≈ 154.12136312578°.