great rhombic triacontahedron | rhombic hexecontahedron

great stellated triacontahedron

| vertices | edges | faces great rhombic triacontahedron | 182 | 360 | 180 (120 triangles, 60 hexagons) rhombic hexecontahedron | 62 | 120 | 60 (60 quadrilaterals)

1 (120 edges) | 1/2 (1 + sqrt(5)) (120 edges) | 1/2 (3 + sqrt(5)) (60 edges) | root of 5 x^4 - 15 x^2 + 9 near x = 1.47337 (60 edges)

1 (120 edges)

| volume great rhombic triacontahedron | 4 sqrt(2770 + 1238 sqrt(5)) rhombic hexecontahedron | 4 sqrt(2 (5 + sqrt(5))) | surface area great rhombic triacontahedron | 240 + 72 sqrt(5) rhombic hexecontahedron | 24 sqrt(5) | inradius great rhombic triacontahedron | sqrt(5/2 + 11/(2 sqrt(5))) rhombic hexecontahedron | sqrt(1/10 (5 + sqrt(5)))

| skeleton graph name great rhombic triacontahedron | (not a named graph) rhombic hexecontahedron | deltoidal hexecontahedral graph

| dual skeleton name great rhombic triacontahedron | (not a named graph) rhombic hexecontahedron | small rhombicosidodecahedral graph

amphichiral | concave | rigid | simple | stellation

Harold Scott MacDonald Coxeter