Chamfered Truncated Icosahedron (canonical)

C0  = 0.0898379030570008555434182513042
C1  = 0.105092850786526747295398017654
C2  = 0.145360780624245466290276984406
C3  = 0.180817104297880861355798313076
C4  = 0.199874128641355139126007320946
C5  = 0.2080985155781758886628291567148
C6  = 0.210185701573053494590796035308
C7  = 0.323403133613481456841881533847
C8  = 0.3508609088451022583387891508953
C9  = 0.391681877600195612858605314327
C10 = 0.397661071287832672324047763299
C11 = 0.407972644219531027788836477661
C12 = 0.46261202504852732201164058346504
C13 = 0.481519780657196468402023565631
C14 = 0.502753922074359419619445780953
C15 = 0.52090471339232365532177998871504
C16 = 0.626880561281441934692300550037
C17 = 0.6326558295957487189946314212848
C18 = 0.660113604827369520491539038333
C19 = 0.672797726621580816602436618773
C20 = 0.731375777833012484630718011508
C21 = 0.737748680382275466290029438939
C22 = 0.7791153713587380654914764705552
C23 = 0.853614830919461677958234931848
C24 = 0.859987733468724659617546359279
C25 = 0.868953274415738921034894721859
C26 = 0.918565784680156327645827752014
C27 = 0.924476151982983531781753454961
C28 = 0.983516738440850977333420572180

C0  = root of the polynomial:  56016*(x^6) - 139200*(x^5) - 54940*(x^4)
    + 2396*(x^3) + 505*(x^2) - 5*x - 1
C1  = root of the polynomial:  720*(x^6) - 364*(x^4) - 20*(x^3) + 49*(x^2)
    + 5*x - 1
C2  = root of the polynomial:  56016*(x^6) + 127680*(x^5) + 49540*(x^4)
    - 4988*(x^3) - 855*(x^2) + 10*x + 1
C3  = root of the polynomial:  6480*(x^6) + 2160*(x^5) - 3636*(x^4)
    - 396*(x^3) + 513*(x^2) - 84*x + 4
C4  = root of the polynomial:  186624*(x^6) - 15552*(x^5) - 63504*(x^4)
    - 9072*(x^3) + 1980*(x^2) + 384*x + 11
C5  = root of the polynomial:  233280*(x^6) + 116640*(x^5) - 143856*(x^4)
    - 43632*(x^3) + 24732*(x^2) + 1098*x - 701
C6  = root of the polynomial:  45*(x^6) - 91*(x^4) - 10*(x^3) + 49*(x^2)
    + 10*x - 4
C7  = root of the polynomial:  186624*(x^6) + 31104*(x^5) - 40176*(x^4)
    - 3024*(x^3) + 2340*(x^2) - 48*x - 11
C8  = root of the polynomial:  6480*(x^6) - 2160*(x^5) - 3096*(x^4)
    + 324*(x^3) + 369*(x^2) - 6*x - 11
C9  = root of the polynomial:  280080*(x^6) + 707040*(x^5) + 111124*(x^4)
    - 494644*(x^3) - 86407*(x^2) + 99559*x - 6161
C10 = root of the polynomial:  6480*(x^6) + 2160*(x^5) - 3096*(x^4)
    - 648*(x^3) + 345*(x^2) + 39*x + 1
C11 = root of the polynomial:  933120*(x^6) + 388800*(x^5) - 1489104*(x^4)
    - 408240*(x^3) + 663660*(x^2) + 52800*x - 71725
C12 = root of the polynomial:  1620*(x^6) - 540*(x^5) - 774*(x^4)
    + 18*(x^3) + 93*(x^2) + 18*x + 1
C13 = root of the polynomial:  280080*(x^6) + 11040*(x^5) - 411016*(x^4)
    + 1680*(x^3) + 165441*(x^2) - 11430*x - 14724
C14 = root of the polynomial:  1296*(x^6) + 432*(x^5) - 1764*(x^4)
    - 612*(x^3) + 393*(x^2) + 120*x - 4
C15 = root of the polynomial:  720*(x^6) - 720*(x^5) - 756*(x^4)
    + 684*(x^3) + 233*(x^2) - 144*x - 16
C16 = root of the polynomial:  280080*(x^6) + 649440*(x^5) + 264604*(x^4)
    - 352568*(x^3) - 251319*(x^2) + 37528*x + 41359
C17 = root of the polynomial:  6480*(x^6) - 6480*(x^5) - 6516*(x^4)
    + 6372*(x^3) + 1365*(x^2) - 1566*x + 116
C18 = root of the polynomial:  933120*(x^6) - 1399680*(x^5) - 195696*(x^4)
    + 1056240*(x^3) - 251640*(x^2) - 197700*x + 71725
C19 = root of the polynomial:  1620*(x^6) - 540*(x^5) - 2286*(x^4)
    + 702*(x^3) + 957*(x^2) - 228*x - 101
C20 = root of the polynomial:  233280*(x^6) + 136080*(x^5) - 297756*(x^4)
    - 128844*(x^3) + 131958*(x^2) + 29994*x - 21101
C21 = root of the polynomial:  1296*(x^6) - 1296*(x^5) - 1368*(x^4)
    + 1368*(x^3) + 165*(x^2) - 177*x - 29
C22 = root of the polynomial:  280080*(x^6) - 469200*(x^5) + 41116*(x^4)
    + 259980*(x^3) - 88479*(x^2) - 34740*x + 14724
C23 = root of the polynomial:  720*(x^6) - 1044*(x^4) + 24*(x^3)
    + 377*(x^2) + 6*x - 19
C24 = root of the polynomial:  933120*(x^6) - 1477440*(x^5) + 37584*(x^4)
    + 957312*(x^3) - 522468*(x^2) + 91632*x - 4331
C25 = root of the polynomial:  70020*(x^6) - 291300*(x^5) + 333784*(x^4)
    + 3184*(x^3) - 231865*(x^2) + 141257*x - 25889
C26 = root of the polynomial:  6480*(x^6) - 4320*(x^5) - 4716*(x^4)
    + 2916*(x^3) + 189*(x^2) - 129*x - 11
C27 = root of the polynomial:  280080*(x^6) + 169200*(x^5) - 1147304*(x^4)
    + 414508*(x^3) + 821265*(x^2) - 671714*x + 140509
C28 = root of the polynomial:  6480*(x^6) - 8640*(x^5) - 9684*(x^4)
    + 17064*(x^3) + 297*(x^2) - 8424*x + 2911

V0   = (  C5,  0.0,  C28)
V1   = (  C5,  0.0, -C28)
V2   = ( -C5,  0.0,  C28)
V3   = ( -C5,  0.0, -C28)
V4   = ( C28,   C5,  0.0)
V5   = ( C28,  -C5,  0.0)
V6   = (-C28,   C5,  0.0)
V7   = (-C28,  -C5,  0.0)
V8   = ( 0.0,  C28,   C5)
V9   = ( 0.0,  C28,  -C5)
V10  = ( 0.0, -C28,   C5)
V11  = ( 0.0, -C28,  -C5)
V12  = (  C1,   C3,  C28)
V13  = (  C1,   C3, -C28)
V14  = (  C1,  -C3,  C28)
V15  = (  C1,  -C3, -C28)
V16  = ( -C1,   C3,  C28)
V17  = ( -C1,   C3, -C28)
V18  = ( -C1,  -C3,  C28)
V19  = ( -C1,  -C3, -C28)
V20  = ( C28,   C1,   C3)
V21  = ( C28,   C1,  -C3)
V22  = ( C28,  -C1,   C3)
V23  = ( C28,  -C1,  -C3)
V24  = (-C28,   C1,   C3)
V25  = (-C28,   C1,  -C3)
V26  = (-C28,  -C1,   C3)
V27  = (-C28,  -C1,  -C3)
V28  = (  C3,  C28,   C1)
V29  = (  C3,  C28,  -C1)
V30  = (  C3, -C28,   C1)
V31  = (  C3, -C28,  -C1)
V32  = ( -C3,  C28,   C1)
V33  = ( -C3,  C28,  -C1)
V34  = ( -C3, -C28,   C1)
V35  = ( -C3, -C28,  -C1)
V36  = (  C9,  0.0,  C27)
V37  = (  C9,  0.0, -C27)
V38  = ( -C9,  0.0,  C27)
V39  = ( -C9,  0.0, -C27)
V40  = ( C27,   C9,  0.0)
V41  = ( C27,  -C9,  0.0)
V42  = (-C27,   C9,  0.0)
V43  = (-C27,  -C9,  0.0)
V44  = ( 0.0,  C27,   C9)
V45  = ( 0.0,  C27,  -C9)
V46  = ( 0.0, -C27,   C9)
V47  = ( 0.0, -C27,  -C9)
V48  = (  C6,   C8,  C26)
V49  = (  C6,   C8, -C26)
V50  = (  C6,  -C8,  C26)
V51  = (  C6,  -C8, -C26)
V52  = ( -C6,   C8,  C26)
V53  = ( -C6,   C8, -C26)
V54  = ( -C6,  -C8,  C26)
V55  = ( -C6,  -C8, -C26)
V56  = ( C26,   C6,   C8)
V57  = ( C26,   C6,  -C8)
V58  = ( C26,  -C6,   C8)
V59  = ( C26,  -C6,  -C8)
V60  = (-C26,   C6,   C8)
V61  = (-C26,   C6,  -C8)
V62  = (-C26,  -C6,   C8)
V63  = (-C26,  -C6,  -C8)
V64  = (  C8,  C26,   C6)
V65  = (  C8,  C26,  -C6)
V66  = (  C8, -C26,   C6)
V67  = (  C8, -C26,  -C6)
V68  = ( -C8,  C26,   C6)
V69  = ( -C8,  C26,  -C6)
V70  = ( -C8, -C26,   C6)
V71  = ( -C8, -C26,  -C6)
V72  = ( C13,   C2,  C25)
V73  = ( C13,   C2, -C25)
V74  = ( C13,  -C2,  C25)
V75  = ( C13,  -C2, -C25)
V76  = (-C13,   C2,  C25)
V77  = (-C13,   C2, -C25)
V78  = (-C13,  -C2,  C25)
V79  = (-C13,  -C2, -C25)
V80  = ( C25,  C13,   C2)
V81  = ( C25,  C13,  -C2)
V82  = ( C25, -C13,   C2)
V83  = ( C25, -C13,  -C2)
V84  = (-C25,  C13,   C2)
V85  = (-C25,  C13,  -C2)
V86  = (-C25, -C13,   C2)
V87  = (-C25, -C13,  -C2)
V88  = (  C2,  C25,  C13)
V89  = (  C2,  C25, -C13)
V90  = (  C2, -C25,  C13)
V91  = (  C2, -C25, -C13)
V92  = ( -C2,  C25,  C13)
V93  = ( -C2,  C25, -C13)
V94  = ( -C2, -C25,  C13)
V95  = ( -C2, -C25, -C13)
V96  = ( C11,   C7,  C24)
V97  = ( C11,   C7, -C24)
V98  = ( C11,  -C7,  C24)
V99  = ( C11,  -C7, -C24)
V100 = (-C11,   C7,  C24)
V101 = (-C11,   C7, -C24)
V102 = (-C11,  -C7,  C24)
V103 = (-C11,  -C7, -C24)
V104 = ( C24,  C11,   C7)
V105 = ( C24,  C11,  -C7)
V106 = ( C24, -C11,   C7)
V107 = ( C24, -C11,  -C7)
V108 = (-C24,  C11,   C7)
V109 = (-C24,  C11,  -C7)
V110 = (-C24, -C11,   C7)
V111 = (-C24, -C11,  -C7)
V112 = (  C7,  C24,  C11)
V113 = (  C7,  C24, -C11)
V114 = (  C7, -C24,  C11)
V115 = (  C7, -C24, -C11)
V116 = ( -C7,  C24,  C11)
V117 = ( -C7,  C24, -C11)
V118 = ( -C7, -C24,  C11)
V119 = ( -C7, -C24, -C11)
V120 = (  C1,  C15,  C23)
V121 = (  C1,  C15, -C23)
V122 = (  C1, -C15,  C23)
V123 = (  C1, -C15, -C23)
V124 = ( -C1,  C15,  C23)
V125 = ( -C1,  C15, -C23)
V126 = ( -C1, -C15,  C23)
V127 = ( -C1, -C15, -C23)
V128 = ( C23,   C1,  C15)
V129 = ( C23,   C1, -C15)
V130 = ( C23,  -C1,  C15)
V131 = ( C23,  -C1, -C15)
V132 = (-C23,   C1,  C15)
V133 = (-C23,   C1, -C15)
V134 = (-C23,  -C1,  C15)
V135 = (-C23,  -C1, -C15)
V136 = ( C15,  C23,   C1)
V137 = ( C15,  C23,  -C1)
V138 = ( C15, -C23,   C1)
V139 = ( C15, -C23,  -C1)
V140 = (-C15,  C23,   C1)
V141 = (-C15,  C23,  -C1)
V142 = (-C15, -C23,   C1)
V143 = (-C15, -C23,  -C1)
V144 = ( C16,   C0,  C22)
V145 = ( C16,   C0, -C22)
V146 = ( C16,  -C0,  C22)
V147 = ( C16,  -C0, -C22)
V148 = (-C16,   C0,  C22)
V149 = (-C16,   C0, -C22)
V150 = (-C16,  -C0,  C22)
V151 = (-C16,  -C0, -C22)
V152 = ( C22,  C16,   C0)
V153 = ( C22,  C16,  -C0)
V154 = ( C22, -C16,   C0)
V155 = ( C22, -C16,  -C0)
V156 = (-C22,  C16,   C0)
V157 = (-C22,  C16,  -C0)
V158 = (-C22, -C16,   C0)
V159 = (-C22, -C16,  -C0)
V160 = (  C0,  C22,  C16)
V161 = (  C0,  C22, -C16)
V162 = (  C0, -C22,  C16)
V163 = (  C0, -C22, -C16)
V164 = ( -C0,  C22,  C16)
V165 = ( -C0,  C22, -C16)
V166 = ( -C0, -C22,  C16)
V167 = ( -C0, -C22, -C16)
V168 = ( C14,  C12,  C21)
V169 = ( C14,  C12, -C21)
V170 = ( C14, -C12,  C21)
V171 = ( C14, -C12, -C21)
V172 = (-C14,  C12,  C21)
V173 = (-C14,  C12, -C21)
V174 = (-C14, -C12,  C21)
V175 = (-C14, -C12, -C21)
V176 = ( C21,  C14,  C12)
V177 = ( C21,  C14, -C12)
V178 = ( C21, -C14,  C12)
V179 = ( C21, -C14, -C12)
V180 = (-C21,  C14,  C12)
V181 = (-C21,  C14, -C12)
V182 = (-C21, -C14,  C12)
V183 = (-C21, -C14, -C12)
V184 = ( C12,  C21,  C14)
V185 = ( C12,  C21, -C14)
V186 = ( C12, -C21,  C14)
V187 = ( C12, -C21, -C14)
V188 = (-C12,  C21,  C14)
V189 = (-C12,  C21, -C14)
V190 = (-C12, -C21,  C14)
V191 = (-C12, -C21, -C14)
V192 = (  C4,  C18,  C20)
V193 = (  C4,  C18, -C20)
V194 = (  C4, -C18,  C20)
V195 = (  C4, -C18, -C20)
V196 = ( -C4,  C18,  C20)
V197 = ( -C4,  C18, -C20)
V198 = ( -C4, -C18,  C20)
V199 = ( -C4, -C18, -C20)
V200 = ( C20,   C4,  C18)
V201 = ( C20,   C4, -C18)
V202 = ( C20,  -C4,  C18)
V203 = ( C20,  -C4, -C18)
V204 = (-C20,   C4,  C18)
V205 = (-C20,   C4, -C18)
V206 = (-C20,  -C4,  C18)
V207 = (-C20,  -C4, -C18)
V208 = ( C18,  C20,   C4)
V209 = ( C18,  C20,  -C4)
V210 = ( C18, -C20,   C4)
V211 = ( C18, -C20,  -C4)
V212 = (-C18,  C20,   C4)
V213 = (-C18,  C20,  -C4)
V214 = (-C18, -C20,   C4)
V215 = (-C18, -C20,  -C4)
V216 = ( C10,  C17,  C19)
V217 = ( C10,  C17, -C19)
V218 = ( C10, -C17,  C19)
V219 = ( C10, -C17, -C19)
V220 = (-C10,  C17,  C19)
V221 = (-C10,  C17, -C19)
V222 = (-C10, -C17,  C19)
V223 = (-C10, -C17, -C19)
V224 = ( C19,  C10,  C17)
V225 = ( C19,  C10, -C17)
V226 = ( C19, -C10,  C17)
V227 = ( C19, -C10, -C17)
V228 = (-C19,  C10,  C17)
V229 = (-C19,  C10, -C17)
V230 = (-C19, -C10,  C17)
V231 = (-C19, -C10, -C17)
V232 = ( C17,  C19,  C10)
V233 = ( C17,  C19, -C10)
V234 = ( C17, -C19,  C10)
V235 = ( C17, -C19, -C10)
V236 = (-C17,  C19,  C10)
V237 = (-C17,  C19, -C10)
V238 = (-C17, -C19,  C10)
V239 = (-C17, -C19, -C10)

Faces:
{  12,  48, 120, 124,  52,  16 }
{  13,  17,  53, 125, 121,  49 }
{  14,  18,  54, 126, 122,  50 }
{  15,  51, 123, 127,  55,  19 }
{  20,  56, 128, 130,  58,  22 }
{  21,  23,  59, 131, 129,  57 }
{  24,  26,  62, 134, 132,  60 }
{  25,  61, 133, 135,  63,  27 }
{  28,  64, 136, 137,  65,  29 }
{  30,  31,  67, 139, 138,  66 }
{  32,  33,  69, 141, 140,  68 }
{  34,  70, 142, 143,  71,  35 }
{ 168, 224, 176, 232, 184, 216 }
{ 169, 217, 185, 233, 177, 225 }
{ 170, 218, 186, 234, 178, 226 }
{ 171, 227, 179, 235, 187, 219 }
{ 172, 220, 188, 236, 180, 228 }
{ 173, 229, 181, 237, 189, 221 }
{ 174, 230, 182, 238, 190, 222 }
{ 175, 223, 191, 239, 183, 231 }
{  12,  16,   2,  18,  14,   0 }
{  13,   1,  15,  19,   3,  17 }
{  20,  22,   5,  23,  21,   4 }
{  24,   6,  25,  27,   7,  26 }
{  28,  29,   9,  33,  32,   8 }
{  30,  10,  34,  35,  11,  31 }
{  48,  96, 168, 216, 192, 120 }
{  49, 121, 193, 217, 169,  97 }
{  50, 122, 194, 218, 170,  98 }
{  51,  99, 171, 219, 195, 123 }
{  52, 124, 196, 220, 172, 100 }
{  53, 101, 173, 221, 197, 125 }
{  54, 102, 174, 222, 198, 126 }
{  55, 127, 199, 223, 175, 103 }
{  56, 104, 176, 224, 200, 128 }
{  57, 129, 201, 225, 177, 105 }
{  58, 130, 202, 226, 178, 106 }
{  59, 107, 179, 227, 203, 131 }
{  60, 132, 204, 228, 180, 108 }
{  61, 109, 181, 229, 205, 133 }
{  62, 110, 182, 230, 206, 134 }
{  63, 135, 207, 231, 183, 111 }
{  64, 112, 184, 232, 208, 136 }
{  65, 137, 209, 233, 185, 113 }
{  66, 138, 210, 234, 186, 114 }
{  67, 115, 187, 235, 211, 139 }
{  68, 140, 212, 236, 188, 116 }
{  69, 117, 189, 237, 213, 141 }
{  70, 118, 190, 238, 214, 142 }
{  71, 143, 215, 239, 191, 119 }
{  72,  96,  48,  12,   0,  36 }
{  73,  37,   1,  13,  49,  97 }
{  74,  36,   0,  14,  50,  98 }
{  75,  99,  51,  15,   1,  37 }
{  76,  38,   2,  16,  52, 100 }
{  77, 101,  53,  17,   3,  39 }
{  78, 102,  54,  18,   2,  38 }
{  79,  39,   3,  19,  55, 103 }
{  80, 104,  56,  20,   4,  40 }
{  81,  40,   4,  21,  57, 105 }
{  82,  41,   5,  22,  58, 106 }
{  83, 107,  59,  23,   5,  41 }
{  84,  42,   6,  24,  60, 108 }
{  85, 109,  61,  25,   6,  42 }
{  86, 110,  62,  26,   7,  43 }
{  87,  43,   7,  27,  63, 111 }
{  88, 112,  64,  28,   8,  44 }
{  89,  45,   9,  29,  65, 113 }
{  90,  46,  10,  30,  66, 114 }
{  91, 115,  67,  31,  11,  47 }
{  92,  44,   8,  32,  68, 116 }
{  93, 117,  69,  33,   9,  45 }
{  94, 118,  70,  34,  10,  46 }
{  95,  47,  11,  35,  71, 119 }
{  96,  72, 144, 200, 224, 168 }
{  97, 169, 225, 201, 145,  73 }
{  98, 170, 226, 202, 146,  74 }
{  99,  75, 147, 203, 227, 171 }
{ 100, 172, 228, 204, 148,  76 }
{ 101,  77, 149, 205, 229, 173 }
{ 102,  78, 150, 206, 230, 174 }
{ 103, 175, 231, 207, 151,  79 }
{ 104,  80, 152, 208, 232, 176 }
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