Simplest Canonical Polyhedron with I Symmetry (2 of 4)
(Pentagonal Hexecontahedron)

C0  = 0.0919831947610306166536978645902
C1  = 0.104185866120626902522184256527
C2  = 0.1787372607291718755716205007246
C3  = 0.2707204554902024922253183653148
C4  = 0.347313533259692355979268469051
C5  = 0.3602517244988994027025508153653
C6  = 0.393388829036478811293779158091
C7  = 0.439296728020722972632966333641
C8  = 0.457779235446372389179242869890
C9  = 0.542220764553627610820757130110
C10 = 0.556553874228523766226173494741
C11 = 0.5828995347449824144241690772051
C12 = 0.606611170963521188706220841909
C13 = 0.728499690936574881404561235204
C14 = 0.785348431692693064277841342634
C15 = 0.832685557057201783926745491732
C16 = 0.889534297813319966800025599161
C17 = 0.900523085072185615851988751897
C18 = 0.943151259243881817126719892570

C0 = phi * (3 - (x^2))
C1 = phi * (2 * x - phi - 3 / x)
C2 = (phi + 1 - x) / (x^3)
C3 = x * phi * (x - phi)
C4 = (phi^2) * (x - 1 - 1 / x)
C5 = 1 / (x * phi)
C6 = phi * (1 - 1 / x) / x
C7 = (phi^3) / (x^2) - 1
C8 = phi * (1 / (x^2) + phi / x - 1)
C9 = phi * (phi - phi / x - 1 / (x^2))
C10 = ((x^2) * (14*phi - 27) + 2 * x * (5*phi - 3) + 4 * (-3*phi + 8)) / 31
C11 = 1 / x
C12 = 1 - phi / x + phi / (x^2)
C13 = phi * (1 - phi / (x^2))
C14 = phi * (phi - x + 1 / x)
C15 = x * phi + 1 - (x^2)
C16 = (phi / x)^2
C17 = ((x^2) * (-13*phi + 14) + 2 * x * (2*phi + 5) + 4 * (5*phi - 3)) / 31
C18 = phi / x
WHERE:  phi = (1 + sqrt(5)) / 2
        x = cbrt((phi + sqrt(phi-5/27))/2) + cbrt((phi - sqrt(phi-5/27))/2)

V0  = (  C0,   C1,  1.0)
V1  = (  C0,  -C1, -1.0)
V2  = ( -C0,  -C1,  1.0)
V3  = ( -C0,   C1, -1.0)
V4  = ( 1.0,   C0,   C1)
V5  = ( 1.0,  -C0,  -C1)
V6  = (-1.0,  -C0,   C1)
V7  = (-1.0,   C0,  -C1)
V8  = (  C1,  1.0,   C0)
V9  = (  C1, -1.0,  -C0)
V10 = ( -C1, -1.0,   C0)
V11 = ( -C1,  1.0,  -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 }
