Pentagonal Hexecontahedron (dextro) C0 = 0.192893711352359022108262546061 C1 = 0.218483370127321224365534157111 C2 = 0.374821658114562295266609516608 C3 = 0.567715369466921317374872062669 C4 = 0.728335176957191477360671629838 C5 = 0.755467260516595579705585253517 C6 = 0.824957552676275846265811111988 C7 = 0.921228888309550499468934175898 C8 = 0.959987701391583803994339068107 C9 = 1.13706613386050418840961998424 C10 = 1.16712343647533397917215468549 C11 = 1.22237170490362309266282747264 C12 = 1.27209628257581214613814794036 C13 = 1.52770307085850512136921113078 C14 = 1.64691794069037444140475745697 C15 = 1.74618644098582634573474528789 C16 = 1.86540131081769566577029161408 C17 = 1.88844538928366915418351670356 C18 = 1.97783896542021867236841272616 C19 = 2.097053835252087992403959052348 C0 = phi * sqrt(3 - (x^2)) / 2 C1 = phi * sqrt((x - 1 - (1/x)) * phi) / (2 * x) C2 = phi * sqrt((x - 1 - (1/x)) * phi) / 2 C3 = (x^2) * phi * sqrt(3 - (x^2)) / 2 C4 = phi * sqrt(1 - x + (1 + phi) / x) / 2 C5 = sqrt(x * (x + phi) + 1) / (2 * x) C6 = sqrt((x + 2) * phi + 2) / (2 * x) C7 = sqrt(-(x^2) * (2 + phi) + x * (1 + 3 * phi) + 4) / 2 C8 = (1 + phi) * sqrt(1 + (1/x)) / (2 * x) C9 = sqrt(2 + 3 * phi - 2 * x + (3/x)) / 2 C10 = sqrt((x^2)*(392 + 225*phi) + x*(249 + 670*phi) + (470 + 157*phi))/62 C11 = phi * sqrt(x * (x + phi) + 1) / (2 * x) C12 = phi * sqrt((x^2) + x + 1 + phi) / (2 * x) C13 = phi * sqrt((x^2) + 2 * x * phi + 2) / (2 * x) C14 = sqrt((x^2) * (1 + 2 * phi) - phi) / 2 C15 = phi * sqrt((x^2) + x) / 2 C16 = (phi^3) * sqrt(x * (x + phi) + 1) / (2 * (x^2)) C17 = sqrt((x^2)*(617 + 842*phi) + x*(919 + 1589*phi) + (627 + 784*phi))/62 C18 = (phi^2) * sqrt(x * (x + phi) + 1) / (2 * x) C19 = 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 = ( C0, C1, C19) V1 = ( C0, -C1, -C19) V2 = ( -C0, -C1, C19) V3 = ( -C0, C1, -C19) V4 = ( C19, C0, C1) V5 = ( C19, -C0, -C1) V6 = (-C19, -C0, C1) V7 = (-C19, C0, -C1) V8 = ( C1, C19, C0) V9 = ( C1, -C19, -C0) V10 = ( -C1, -C19, C0) V11 = ( -C1, C19, -C0) V12 = ( 0.0, C5, C18) V13 = ( 0.0, C5, -C18) V14 = ( 0.0, -C5, C18) V15 = ( 0.0, -C5, -C18) V16 = ( C18, 0.0, C5) V17 = ( C18, 0.0, -C5) V18 = (-C18, 0.0, C5) V19 = (-C18, 0.0, -C5) V20 = ( C5, C18, 0.0) V21 = ( C5, -C18, 0.0) V22 = ( -C5, C18, 0.0) V23 = ( -C5, -C18, 0.0) V24 = ( C10, 0.0, C17) V25 = ( C10, 0.0, -C17) V26 = (-C10, 0.0, C17) V27 = (-C10, 0.0, -C17) V28 = ( C17, C10, 0.0) V29 = ( C17, -C10, 0.0) V30 = (-C17, C10, 0.0) V31 = (-C17, -C10, 0.0) V32 = ( 0.0, C17, C10) V33 = ( 0.0, C17, -C10) V34 = ( 0.0, -C17, C10) V35 = ( 0.0, -C17, -C10) V36 = ( C3, -C6, C16) V37 = ( C3, C6, -C16) V38 = ( -C3, C6, C16) V39 = ( -C3, -C6, -C16) V40 = ( C16, -C3, C6) V41 = ( C16, C3, -C6) V42 = (-C16, C3, C6) V43 = (-C16, -C3, -C6) V44 = ( C6, -C16, C3) V45 = ( C6, C16, -C3) V46 = ( -C6, C16, C3) V47 = ( -C6, -C16, -C3) V48 = ( C2, C9, C15) V49 = ( C2, -C9, -C15) V50 = ( -C2, -C9, C15) V51 = ( -C2, C9, -C15) V52 = ( C15, C2, C9) V53 = ( C15, -C2, -C9) V54 = (-C15, -C2, C9) V55 = (-C15, C2, -C9) V56 = ( C9, C15, C2) V57 = ( C9, -C15, -C2) V58 = ( -C9, -C15, C2) V59 = ( -C9, C15, -C2) V60 = ( C7, C8, C14) V61 = ( C7, -C8, -C14) V62 = ( -C7, -C8, C14) V63 = ( -C7, C8, -C14) V64 = ( C14, C7, C8) V65 = ( C14, -C7, -C8) V66 = (-C14, -C7, C8) V67 = (-C14, C7, -C8) V68 = ( C8, C14, C7) V69 = ( C8, -C14, -C7) V70 = ( -C8, -C14, C7) V71 = ( -C8, C14, -C7) V72 = ( C4, -C12, C13) V73 = ( C4, C12, -C13) V74 = ( -C4, C12, C13) V75 = ( -C4, -C12, -C13) V76 = ( C13, -C4, C12) V77 = ( C13, C4, -C12) V78 = (-C13, C4, C12) V79 = (-C13, -C4, -C12) V80 = ( C12, -C13, C4) V81 = ( C12, C13, -C4) V82 = (-C12, C13, C4) V83 = (-C12, -C13, -C4) V84 = ( C11, C11, C11) V85 = ( C11, C11, -C11) V86 = ( C11, -C11, C11) V87 = ( C11, -C11, -C11) V88 = (-C11, C11, C11) V89 = (-C11, C11, -C11) V90 = (-C11, -C11, C11) V91 = (-C11, -C11, -C11) Faces: { 24, 0, 2, 14, 36 } { 24, 36, 72, 86, 76 } { 24, 76, 40, 16, 52 } { 24, 52, 64, 84, 60 } { 24, 60, 48, 12, 0 } { 25, 1, 3, 13, 37 } { 25, 37, 73, 85, 77 } { 25, 77, 41, 17, 53 } { 25, 53, 65, 87, 61 } { 25, 61, 49, 15, 1 } { 26, 2, 0, 12, 38 } { 26, 38, 74, 88, 78 } { 26, 78, 42, 18, 54 } { 26, 54, 66, 90, 62 } { 26, 62, 50, 14, 2 } { 27, 3, 1, 15, 39 } { 27, 39, 75, 91, 79 } { 27, 79, 43, 19, 55 } { 27, 55, 67, 89, 63 } { 27, 63, 51, 13, 3 } { 28, 4, 5, 17, 41 } { 28, 41, 77, 85, 81 } { 28, 81, 45, 20, 56 } { 28, 56, 68, 84, 64 } { 28, 64, 52, 16, 4 } { 29, 5, 4, 16, 40 } { 29, 40, 76, 86, 80 } { 29, 80, 44, 21, 57 } { 29, 57, 69, 87, 65 } { 29, 65, 53, 17, 5 } { 30, 7, 6, 18, 42 } { 30, 42, 78, 88, 82 } { 30, 82, 46, 22, 59 } { 30, 59, 71, 89, 67 } { 30, 67, 55, 19, 7 } { 31, 6, 7, 19, 43 } { 31, 43, 79, 91, 83 } { 31, 83, 47, 23, 58 } { 31, 58, 70, 90, 66 } { 31, 66, 54, 18, 6 } { 32, 8, 11, 22, 46 } { 32, 46, 82, 88, 74 } { 32, 74, 38, 12, 48 } { 32, 48, 60, 84, 68 } { 32, 68, 56, 20, 8 } { 33, 11, 8, 20, 45 } { 33, 45, 81, 85, 73 } { 33, 73, 37, 13, 51 } { 33, 51, 63, 89, 71 } { 33, 71, 59, 22, 11 } { 34, 10, 9, 21, 44 } { 34, 44, 80, 86, 72 } { 34, 72, 36, 14, 50 } { 34, 50, 62, 90, 70 } { 34, 70, 58, 23, 10 } { 35, 9, 10, 23, 47 } { 35, 47, 83, 91, 75 } { 35, 75, 39, 15, 49 } { 35, 49, 61, 87, 69 } { 35, 69, 57, 21, 9 }