Faces have two angles of \arccos(\frac{3}{4})\approx 41.409\,622\,109\,27^{\circ}, one of \arccos(-\frac{1}{8}+\frac{7}{24}\sqrt{5})\approx 58.184\,446\,117\,59^{\circ} and one of 360^{\circ}-\arccos(-\frac{1}{8}-\frac{7}{24}\sqrt{5})\approx 218.996\,309\,663\,87^{\circ}. Its
dihedral angles equal \arccos(-\frac{5}{7})\approx 135.584\,691\,402\,81^{\circ}. The ratio between the lengths of the long and short edges is \frac{27+7\sqrt{5}}{22}\approx 1.938\,748\,901\,93. ==References==