Great Rhombic Triacontahedron C0 = 0.213525491562421136153440125774 = (3 * sqrt(5) - 5) / 8 C1 = 0.345491502812526287948853291409 = (5 - sqrt(5)) / 8 C2 = 0.559016994374947424102293417183 = sqrt(5) / 4 V0 = (0.0, -C1, C0) V1 = (0.0, -C1, -C0) V2 = (0.0, C1, C0) V3 = (0.0, C1, -C0) V4 = (-C1, C0, 0.0) V5 = ( C1, C0, 0.0) V6 = (-C1, -C0, 0.0) V7 = ( C1, -C0, 0.0) V8 = ( C0, 0.0, -C1) V9 = ( C0, 0.0, C1) V10 = (-C0, 0.0, -C1) V11 = (-C0, 0.0, C1) V12 = ( C2, 0.0, C0) V13 = ( C2, 0.0, -C0) V14 = (-C2, 0.0, C0) V15 = (-C2, 0.0, -C0) V16 = (0.0, C0, C2) V17 = (0.0, C0, -C2) V18 = (0.0, -C0, C2) V19 = (0.0, -C0, -C2) V20 = ( C0, C2, 0.0) V21 = (-C0, C2, 0.0) V22 = ( C0, -C2, 0.0) V23 = (-C0, -C2, 0.0) V24 = (-C1, -C1, -C1) V25 = (-C1, -C1, C1) V26 = ( C1, -C1, -C1) V27 = ( C1, -C1, C1) V28 = (-C1, C1, -C1) V29 = (-C1, C1, C1) V30 = ( C1, C1, -C1) V31 = ( C1, C1, C1) Faces: { 0, 12, 2, 14 } { 0, 14, 10, 26 } { 0, 26, 5, 16 } { 1, 13, 9, 25 } { 1, 25, 4, 17 } { 1, 17, 5, 27 } { 2, 28, 6, 18 } { 2, 18, 7, 30 } { 2, 30, 10, 14 } { 3, 19, 6, 29 } { 3, 29, 9, 13 } { 3, 13, 1, 15 } { 4, 20, 8, 24 } { 4, 24, 0, 16 } { 4, 16, 5, 17 } { 7, 18, 6, 19 } { 7, 19, 3, 31 } { 7, 31, 11, 23 } { 8, 22, 6, 28 } { 8, 28, 2, 12 } { 8, 12, 0, 24 } { 9, 29, 6, 22 } { 9, 22, 8, 20 } { 9, 20, 4, 25 } { 10, 30, 7, 23 } { 10, 23, 11, 21 } { 10, 21, 5, 26 } { 11, 31, 3, 15 } { 11, 15, 1, 27 } { 11, 27, 5, 21 }