Deltoidal Icositetrahedron C0 = 0.773459080339013578400241246316 = (4 + sqrt(2)) / 7 C1 = 1.41421356237309504880168872421 = sqrt(2) V0 = ( 0.0, 0.0, C1) V1 = ( 0.0, 0.0, -C1) V2 = ( C1, 0.0, 0.0) V3 = ( -C1, 0.0, 0.0) V4 = ( 0.0, C1, 0.0) V5 = ( 0.0, -C1, 0.0) V6 = ( 1.0, 0.0, 1.0) V7 = ( 1.0, 0.0, -1.0) V8 = (-1.0, 0.0, 1.0) V9 = (-1.0, 0.0, -1.0) V10 = ( 1.0, 1.0, 0.0) V11 = ( 1.0, -1.0, 0.0) V12 = (-1.0, 1.0, 0.0) V13 = (-1.0, -1.0, 0.0) V14 = ( 0.0, 1.0, 1.0) V15 = ( 0.0, 1.0, -1.0) V16 = ( 0.0, -1.0, 1.0) V17 = ( 0.0, -1.0, -1.0) V18 = ( C0, C0, C0) V19 = ( C0, C0, -C0) V20 = ( C0, -C0, C0) V21 = ( C0, -C0, -C0) V22 = ( -C0, C0, C0) V23 = ( -C0, C0, -C0) V24 = ( -C0, -C0, C0) V25 = ( -C0, -C0, -C0) Faces: { 0, 6, 18, 14 } { 0, 14, 22, 8 } { 0, 8, 24, 16 } { 0, 16, 20, 6 } { 1, 9, 23, 15 } { 1, 15, 19, 7 } { 1, 7, 21, 17 } { 1, 17, 25, 9 } { 2, 7, 19, 10 } { 2, 10, 18, 6 } { 2, 6, 20, 11 } { 2, 11, 21, 7 } { 3, 8, 22, 12 } { 3, 12, 23, 9 } { 3, 9, 25, 13 } { 3, 13, 24, 8 } { 4, 10, 19, 15 } { 4, 15, 23, 12 } { 4, 12, 22, 14 } { 4, 14, 18, 10 } { 5, 11, 20, 16 } { 5, 16, 24, 13 } { 5, 13, 25, 17 } { 5, 17, 21, 11 }