Dual Geodesic Icosahedron Pattern 3 [2,1] (Hexpropello Dodecahedron)

C0  = 0.0478487627793223584957428264710
C1  = 0.0820874952323578596367661535721
C2  = 0.0919831947610306166536978645902
C3  = 0.104185866120626902522184256527
C4  = 0.159508419728932319992375824582
C5  = 0.1787372607291718755716205007246
C6  = 0.180669120116622322543727539983
C7  = 0.210241281833874424403594384522
C8  = 0.2707204554902024922253183653148
C9  = 0.34319353022244057407246218081548
C10 = 0.347313533259692355979268469051
C11 = 0.3602517244988994027025508153653
C12 = 0.393388829036478811293779158091
C13 = 0.425281025454798433709228334388
C14 = 0.439296728020722972632966333641
C15 = 0.457779235446372389179242869890
C16 = 0.502701949951372894064838005397
C17 = 0.542220764553627610820757130110
C18 = 0.5828995347449824144241690772051
C19 = 0.606611170963521188706220841909
C20 = 0.635522307288672858112822718909
C21 = 0.683371070067995216608565545380
C22 = 0.728499690936574881404561235204
C23 = 0.735967916735595431954156281793
C24 = 0.765540078452847533814023126332
C25 = 0.785348431692693064277841342634
C26 = 0.832685557057201783926745491732
C27 = 0.847627573685205393450789279904
C28 = 0.889534297813319966800025599161
C29 = 0.8954763364645277519465321063751
C30 = 0.943151259243881817126719892570
C31 = 0.9462091985694698563577506663151

C0  = (-(x^2) * (321 + 8*phi) + x * (149*phi - 4) + 4 * (153 - 4*phi)) / 209
C1  = ((x^2) * (149*phi - 4) - 2 * x * (15 + 16*phi) - (8 + 329*phi)) / 209
C2  = phi * (3 - (x^2))
C3  = phi * (2 * x - phi - 3 / x)
C4  = (-12*(x^2) * (1 + 15*phi) + x*(119 + 113*phi) + 3*(89*phi - 8)) / 209
C5  = (1 + phi - x) / (x^3)
C6  = (3 * x * (29*phi - 12) - (61 + 79*phi) + (137 - 35*phi) / x) / 209
C7  = (x * (117 + 83 * phi) - (63 + 109 * phi) - (184 + 43 * phi) / x) / 209
C8  = x * phi * (x - phi)
C9  = ((x^2) * (59*phi - 10) - 5*x * (15 + 16*phi) + 2*(59*phi - 10)) / 209
C10 = (phi^2) * (x - 1 - 1 / x)
C11 = 1 / (x * phi)
C12 = phi * (1 - 1 / x) / x
C13 = (2*(x^2) * (104*phi - 7) - 7*x*(15 + 16*phi) - (28 + 211*phi)) / 209
C14 = (phi^3) / (x^2) - 1
C15 = phi * (1 / (x^2) + phi / x - 1)
C16 = (x * (4 + 3 * phi) + (13 * phi - 8) - (11 + 13 * phi) / x) / 19
C17 = phi * (phi - phi / x - 1 / (x^2))
C18 = 1 / x
C19 = 1 - phi / x + phi / (x^2)
C20 = (-x * (29*phi - 12) + (96*phi - 119) + (24 + 151*phi) / x) / 209
C21 = (8 * x * (1 + 15*phi) + (64*phi - 149) - 2 * (89*phi - 8) / x) / 209
C22 = phi * (1 - phi / (x^2))
C23 = (-4 * x * (29 + 17*phi) + (175 + 117*phi) + (186 + 73*phi) / x) / 209
C24 = (-x * (72*phi - 37) + (173 + 87*phi) + 5 * (13*phi - 27) / x) / 209
C25 = phi * (phi - x + 1 / x)
C26 = x * phi + 1 - (x^2)
C27 = (-x * (104*phi - 7) + (157 + 56*phi) + 14 * (1 + 15*phi) / x) / 209
C28 = (phi / x)^2
C29 = (3 * x * (1 + 15*phi) + (127 + 24*phi) - (119*phi - 6) / x) / 209
C30 = phi / x
C31 = (2 * (x^2) * (14 + phi) + x * (1 + 15 * phi) + 4 * (14 + phi)) / 209
WHERE:  phi = (1 + sqrt(5)) / 2
        x = cbrt((phi + sqrt(phi-5/27))/2) + cbrt((phi - sqrt(phi-5/27))/2)

V0   = (  C2,   C3,  1.0)
V1   = (  C2,  -C3, -1.0)
V2   = ( -C2,  -C3,  1.0)
V3   = ( -C2,   C3, -1.0)
V4   = ( 1.0,   C2,   C3)
V5   = ( 1.0,  -C2,  -C3)
V6   = (-1.0,  -C2,   C3)
V7   = (-1.0,   C2,  -C3)
V8   = (  C3,  1.0,   C2)
V9   = (  C3, -1.0,  -C2)
V10  = ( -C3, -1.0,   C2)
V11  = ( -C3,  1.0,  -C2)
V12  = (  C9,   C0,  C31)
V13  = (  C9,  -C0, -C31)
V14  = ( -C9,  -C0,  C31)
V15  = ( -C9,   C0, -C31)
V16  = ( C31,   C9,   C0)
V17  = ( C31,  -C9,  -C0)
V18  = (-C31,  -C9,   C0)
V19  = (-C31,   C9,  -C0)
V20  = (  C0,  C31,   C9)
V21  = (  C0, -C31,  -C9)
V22  = ( -C0, -C31,   C9)
V23  = ( -C0,  C31,  -C9)
V24  = ( 0.0,  C11,  C30)
V25  = ( 0.0,  C11, -C30)
V26  = ( 0.0, -C11,  C30)
V27  = ( 0.0, -C11, -C30)
V28  = ( C30,  0.0,  C11)
V29  = ( C30,  0.0, -C11)
V30  = (-C30,  0.0,  C11)
V31  = (-C30,  0.0, -C11)
V32  = ( C11,  C30,  0.0)
V33  = ( C11, -C30,  0.0)
V34  = (-C11,  C30,  0.0)
V35  = (-C11, -C30,  0.0)
V36  = ( C13,  -C6,  C29)
V37  = ( C13,   C6, -C29)
V38  = (-C13,   C6,  C29)
V39  = (-C13,  -C6, -C29)
V40  = ( C29, -C13,   C6)
V41  = ( C29,  C13,  -C6)
V42  = (-C29,  C13,   C6)
V43  = (-C29, -C13,  -C6)
V44  = (  C6, -C29,  C13)
V45  = (  C6,  C29, -C13)
V46  = ( -C6,  C29,  C13)
V47  = ( -C6, -C29, -C13)
V48  = (  C8, -C12,  C28)
V49  = (  C8,  C12, -C28)
V50  = ( -C8,  C12,  C28)
V51  = ( -C8, -C12, -C28)
V52  = ( C28,  -C8,  C12)
V53  = ( C28,   C8, -C12)
V54  = (-C28,   C8,  C12)
V55  = (-C28,  -C8, -C12)
V56  = ( C12, -C28,   C8)
V57  = ( C12,  C28,  -C8)
V58  = (-C12,  C28,   C8)
V59  = (-C12, -C28,  -C8)
V60  = ( C16,   C7,  C27)
V61  = ( C16,  -C7, -C27)
V62  = (-C16,  -C7,  C27)
V63  = (-C16,   C7, -C27)
V64  = ( C27,  C16,   C7)
V65  = ( C27, -C16,  -C7)
V66  = (-C27, -C16,   C7)
V67  = (-C27,  C16,  -C7)
V68  = (  C7,  C27,  C16)
V69  = (  C7, -C27, -C16)
V70  = ( -C7, -C27,  C16)
V71  = ( -C7,  C27, -C16)
V72  = (  C5,  C17,  C26)
V73  = (  C5, -C17, -C26)
V74  = ( -C5, -C17,  C26)
V75  = ( -C5,  C17, -C26)
V76  = ( C26,   C5,  C17)
V77  = ( C26,  -C5, -C17)
V78  = (-C26,  -C5,  C17)
V79  = (-C26,   C5, -C17)
V80  = ( C17,  C26,   C5)
V81  = ( C17, -C26,  -C5)
V82  = (-C17, -C26,   C5)
V83  = (-C17,  C26,  -C5)
V84  = ( C14,  C15,  C25)
V85  = ( C14, -C15, -C25)
V86  = (-C14, -C15,  C25)
V87  = (-C14,  C15, -C25)
V88  = ( C25,  C14,  C15)
V89  = ( C25, -C14, -C15)
V90  = (-C25, -C14,  C15)
V91  = (-C25,  C14, -C15)
V92  = ( C15,  C25,  C14)
V93  = ( C15, -C25, -C14)
V94  = (-C15, -C25,  C14)
V95  = (-C15,  C25, -C14)
V96  = ( C20,  -C4,  C24)
V97  = ( C20,   C4, -C24)
V98  = (-C20,   C4,  C24)
V99  = (-C20,  -C4, -C24)
V100 = ( C24, -C20,   C4)
V101 = ( C24,  C20,  -C4)
V102 = (-C24,  C20,   C4)
V103 = (-C24, -C20,  -C4)
V104 = (  C4, -C24,  C20)
V105 = (  C4,  C24, -C20)
V106 = ( -C4,  C24,  C20)
V107 = ( -C4, -C24, -C20)
V108 = ( C21,   C1,  C23)
V109 = ( C21,  -C1, -C23)
V110 = (-C21,  -C1,  C23)
V111 = (-C21,   C1, -C23)
V112 = ( C23,  C21,   C1)
V113 = ( C23, -C21,  -C1)
V114 = (-C23, -C21,   C1)
V115 = (-C23,  C21,  -C1)
V116 = (  C1,  C23,  C21)
V117 = (  C1, -C23, -C21)
V118 = ( -C1, -C23,  C21)
V119 = ( -C1,  C23, -C21)
V120 = ( C10, -C19,  C22)
V121 = ( C10,  C19, -C22)
V122 = (-C10,  C19,  C22)
V123 = (-C10, -C19, -C22)
V124 = ( C22, -C10,  C19)
V125 = ( C22,  C10, -C19)
V126 = (-C22,  C10,  C19)
V127 = (-C22, -C10, -C19)
V128 = ( C19, -C22,  C10)
V129 = ( C19,  C22, -C10)
V130 = (-C19,  C22,  C10)
V131 = (-C19, -C22, -C10)
V132 = ( C18,  C18,  C18)
V133 = ( C18,  C18, -C18)
V134 = ( C18, -C18,  C18)
V135 = ( C18, -C18, -C18)
V136 = (-C18,  C18,  C18)
V137 = (-C18,  C18, -C18)
V138 = (-C18, -C18,  C18)
V139 = (-C18, -C18, -C18)

Faces:
{  24,   0,  12,  60,  84,  72 }
{  24,  72, 116, 106, 122,  50 }
{  24,  50,  38,  14,   2,   0 }
{  25,   3,  15,  63,  87,  75 }
{  25,  75, 119, 105, 121,  49 }
{  25,  49,  37,  13,   1,   3 }
{  26,   2,  14,  62,  86,  74 }
{  26,  74, 118, 104, 120,  48 }
{  26,  48,  36,  12,   0,   2 }
{  27,   1,  13,  61,  85,  73 }
{  27,  73, 117, 107, 123,  51 }
{  27,  51,  39,  15,   3,   1 }
{  28,   4,  16,  64,  88,  76 }
{  28,  76, 108,  96, 124,  52 }
{  28,  52,  40,  17,   5,   4 }
{  29,   5,  17,  65,  89,  77 }
{  29,  77, 109,  97, 125,  53 }
{  29,  53,  41,  16,   4,   5 }
{  30,   6,  18,  66,  90,  78 }
{  30,  78, 110,  98, 126,  54 }
{  30,  54,  42,  19,   7,   6 }
{  31,   7,  19,  67,  91,  79 }
{  31,  79, 111,  99, 127,  55 }
{  31,  55,  43,  18,   6,   7 }
{  32,   8,  20,  68,  92,  80 }
{  32,  80, 112, 101, 129,  57 }
{  32,  57,  45,  23,  11,   8 }
{  33,   9,  21,  69,  93,  81 }
{  33,  81, 113, 100, 128,  56 }
{  33,  56,  44,  22,  10,   9 }
{  34,  11,  23,  71,  95,  83 }
{  34,  83, 115, 102, 130,  58 }
{  34,  58,  46,  20,   8,  11 }
{  35,  10,  22,  70,  94,  82 }
{  35,  82, 114, 103, 131,  59 }
{  35,  59,  47,  21,   9,  10 }
{ 132,  84,  60, 108,  76,  88 }
{ 132,  88,  64, 112,  80,  92 }
{ 132,  92,  68, 116,  72,  84 }
{ 133, 121, 105,  45,  57, 129 }
{ 133, 129, 101,  41,  53, 125 }
{ 133, 125,  97,  37,  49, 121 }
{ 134, 120, 104,  44,  56, 128 }
{ 134, 128, 100,  40,  52, 124 }
{ 134, 124,  96,  36,  48, 120 }
{ 135,  85,  61, 109,  77,  89 }
{ 135,  89,  65, 113,  81,  93 }
{ 135,  93,  69, 117,  73,  85 }
{ 136, 122, 106,  46,  58, 130 }
{ 136, 130, 102,  42,  54, 126 }
{ 136, 126,  98,  38,  50, 122 }
{ 137,  87,  63, 111,  79,  91 }
{ 137,  91,  67, 115,  83,  95 }
{ 137,  95,  71, 119,  75,  87 }
{ 138,  86,  62, 110,  78,  90 }
{ 138,  90,  66, 114,  82,  94 }
{ 138,  94,  70, 118,  74,  86 }
{ 139, 123, 107,  47,  59, 131 }
{ 139, 131, 103,  43,  55, 127 }
{ 139, 127,  99,  39,  51, 123 }
{  12,  36,  96, 108,  60 }
{  13,  37,  97, 109,  61 }
{  14,  38,  98, 110,  62 }
{  15,  39,  99, 111,  63 }
{  16,  41, 101, 112,  64 }
{  17,  40, 100, 113,  65 }
{  18,  43, 103, 114,  66 }
{  19,  42, 102, 115,  67 }
{  20,  46, 106, 116,  68 }
{  21,  47, 107, 117,  69 }
{  22,  44, 104, 118,  70 }
{  23,  45, 105, 119,  71 }