Snub Dodecahedron (dextro) C0 = 0.192893711352359022108262546061 C1 = 0.330921024729844230963655269187 C2 = 0.374821658114562295266609516608 C3 = 0.567715369466921317374872062669 C4 = 0.643029605914072573107464141441 C5 = 0.728335176957191477360671629838 C6 = 0.847550046789060797396217956030 C7 = 1.103156835071753772627281146446 C8 = 1.24950378846302719500774109632 C9 = 1.41526541625598211477109001870 C10 = 1.45402422933801541929649491091 C11 = 1.64691794069037444140475745697 C12 = 1.74618644098582634573474528789 C13 = 1.97783896542021867236841272616 C14 = 2.097053835252087992403959052348 C0 = phi * sqrt(3 - (x^2)) / 2 C1 = x * phi * sqrt(3 - (x^2)) / 2 C2 = phi * sqrt((x - 1 - (1/x)) * phi) / 2 C3 = (x^2) * phi * sqrt(3 - (x^2)) / 2 C4 = x * phi * sqrt((x - 1 - (1/x)) * phi) / 2 C5 = phi * sqrt(1 - x + (1 + phi) / x) / 2 C6 = phi * sqrt(x + 1 - phi) / 2 C7 = (x^2) * phi * sqrt((x - 1 - (1/x)) * phi) / 2 C8 = x * phi * sqrt(1 - x + (1 + phi) / x) / 2 C9 = sqrt((x + 2) * phi + 2) / 2 C10 = x * sqrt(x * (1 + phi) - phi) / 2 C11 = sqrt((x^2) * (1 + 2 * phi) - phi) / 2 C12 = phi * sqrt((x^2) + x) / 2 C13 = (phi^2) * sqrt(x * (x + phi) + 1) / (2 * x) C14 = phi * sqrt(x * (x + phi) + 1) / 2 WHERE: phi = (1 + sqrt(5)) / 2 x = cbrt((phi + sqrt(phi-5/27))/2) + cbrt((phi - sqrt(phi-5/27))/2) V0 = ( C2, C1, C14) V1 = ( C2, -C1, -C14) V2 = ( -C2, -C1, C14) V3 = ( -C2, C1, -C14) V4 = ( C14, C2, C1) V5 = ( C14, -C2, -C1) V6 = (-C14, -C2, C1) V7 = (-C14, C2, -C1) V8 = ( C1, C14, C2) V9 = ( C1, -C14, -C2) V10 = ( -C1, -C14, C2) V11 = ( -C1, C14, -C2) V12 = ( C3, -C4, C13) V13 = ( C3, C4, -C13) V14 = ( -C3, C4, C13) V15 = ( -C3, -C4, -C13) V16 = ( C13, -C3, C4) V17 = ( C13, C3, -C4) V18 = (-C13, C3, C4) V19 = (-C13, -C3, -C4) V20 = ( C4, -C13, C3) V21 = ( C4, C13, -C3) V22 = ( -C4, C13, C3) V23 = ( -C4, -C13, -C3) V24 = ( C0, C8, C12) V25 = ( C0, -C8, -C12) V26 = ( -C0, -C8, C12) V27 = ( -C0, C8, -C12) V28 = ( C12, C0, C8) V29 = ( C12, -C0, -C8) V30 = (-C12, -C0, C8) V31 = (-C12, C0, -C8) V32 = ( C8, C12, C0) V33 = ( C8, -C12, -C0) V34 = ( -C8, -C12, C0) V35 = ( -C8, C12, -C0) V36 = ( C7, C6, C11) V37 = ( C7, -C6, -C11) V38 = ( -C7, -C6, C11) V39 = ( -C7, C6, -C11) V40 = ( C11, C7, C6) V41 = ( C11, -C7, -C6) V42 = (-C11, -C7, C6) V43 = (-C11, C7, -C6) V44 = ( C6, C11, C7) V45 = ( C6, -C11, -C7) V46 = ( -C6, -C11, C7) V47 = ( -C6, C11, -C7) V48 = ( C9, -C5, C10) V49 = ( C9, C5, -C10) V50 = ( -C9, C5, C10) V51 = ( -C9, -C5, -C10) V52 = ( C10, -C9, C5) V53 = ( C10, C9, -C5) V54 = (-C10, C9, C5) V55 = (-C10, -C9, -C5) V56 = ( C5, -C10, C9) V57 = ( C5, C10, -C9) V58 = ( -C5, C10, C9) V59 = ( -C5, -C10, -C9) Faces: { 0, 12, 48, 28, 36 } { 1, 13, 49, 29, 37 } { 2, 14, 50, 30, 38 } { 3, 15, 51, 31, 39 } { 4, 17, 53, 32, 40 } { 5, 16, 52, 33, 41 } { 6, 19, 55, 34, 42 } { 7, 18, 54, 35, 43 } { 8, 22, 58, 24, 44 } { 9, 23, 59, 25, 45 } { 10, 20, 56, 26, 46 } { 11, 21, 57, 27, 47 } { 0, 14, 2 } { 1, 15, 3 } { 2, 12, 0 } { 3, 13, 1 } { 4, 16, 5 } { 5, 17, 4 } { 6, 18, 7 } { 7, 19, 6 } { 8, 21, 11 } { 9, 20, 10 } { 10, 23, 9 } { 11, 22, 8 } { 12, 56, 48 } { 13, 57, 49 } { 14, 58, 50 } { 15, 59, 51 } { 16, 48, 52 } { 17, 49, 53 } { 18, 50, 54 } { 19, 51, 55 } { 20, 52, 56 } { 21, 53, 57 } { 22, 54, 58 } { 23, 55, 59 } { 24, 36, 44 } { 25, 37, 45 } { 26, 38, 46 } { 27, 39, 47 } { 28, 40, 36 } { 29, 41, 37 } { 30, 42, 38 } { 31, 43, 39 } { 32, 44, 40 } { 33, 45, 41 } { 34, 46, 42 } { 35, 47, 43 } { 36, 24, 0 } { 37, 25, 1 } { 38, 26, 2 } { 39, 27, 3 } { 40, 28, 4 } { 41, 29, 5 } { 42, 30, 6 } { 43, 31, 7 } { 44, 32, 8 } { 45, 33, 9 } { 46, 34, 10 } { 47, 35, 11 } { 48, 16, 28 } { 49, 17, 29 } { 50, 18, 30 } { 51, 19, 31 } { 52, 20, 33 } { 53, 21, 32 } { 54, 22, 35 } { 55, 23, 34 } { 56, 12, 26 } { 57, 13, 27 } { 58, 14, 24 } { 59, 15, 25 } { 24, 14, 0 } { 25, 15, 1 } { 26, 12, 2 } { 27, 13, 3 } { 28, 16, 4 } { 29, 17, 5 } { 30, 18, 6 } { 31, 19, 7 } { 32, 21, 8 } { 33, 20, 9 } { 34, 23, 10 } { 35, 22, 11 } { 36, 40, 44 } { 37, 41, 45 } { 38, 42, 46 } { 39, 43, 47 } { 48, 56, 52 } { 49, 57, 53 } { 50, 58, 54 } { 51, 59, 55 }