Biscribed Dual Snub Truncated Icosahedron with radius = 1 C0 = 0.0000350422373991371766580799182304 C1 = 0.00297092473959820484598606907701 C2 = 0.00479857484573019081378316897938 C3 = 0.00623054251604795247836059634131 C4 = 0.00695363540597274026960471564999 C5 = 0.156876335745868368598791414917 C6 = 0.182050014633853821328102396487 C7 = 0.185175310593066535604891234009 C8 = 0.189814271831805553298066132884 C9 = 0.195256540152383409886991517263 C10 = 0.226724306555372127090390773487 C11 = 0.226781006086525773757393082119 C12 = 0.271606234419952700943254462471 C13 = 0.277836776936000653421615058812 C14 = 0.278636179513834144809782480637 C15 = 0.283434754359564335623565649617 C16 = 0.299361686175721417235828769229 C17 = 0.302327368527942958392009336647 C18 = 0.303127813233106799250003235669 C19 = 0.305850488932948055660911602179 C20 = 0.307934870439794625311223248302 C21 = 0.309701175976216977464651289092 C22 = 0.310081448639079539519607951319 C23 = 0.314888505845767365580827963952 C24 = 0.356822089773089931941969843046 = (sqrt(15) - sqrt(3)) / 6 C25 = 0.366882676319741832245396892602 C26 = 0.3669043336134963417357411213153 C27 = 0.383600642301240495689182188404 C28 = 0.3836573418323941423561844970354 C29 = 0.493442029486195158357413185008 C30 = 0.495278161953284779572647128564 C31 = 0.504693247918433725682361866866 C32 = 0.506529380385523346897595810422 C33 = 0.525731112119133606025669084848 = sqrt(10 * (5 - sqrt(5))) / 10 C34 = 0.577350269189625764509148780502 = sqrt(3) / 3 C35 = 0.5774567233529007566041660646503 C36 = 0.577997865689555562045611249866 C37 = 0.585762122887507294015574986264 C38 = 0.5875379529122176308862663479047 C39 = 0.620713919587096939193393097476 C40 = 0.620735576880851448683737326189 C41 = 0.634724659000238461297346755409 C42 = 0.640657080780606351336040645269 C43 = 0.749169294824072028875006527238 C44 = 0.750504975914736837424923309719 C45 = 0.750540018152135974601581389638 C46 = 0.753170177476743756429983849031 C47 = 0.755399837340119981353367123580 C48 = 0.757968752322473947243767018010 C49 = 0.767812137521361115343677382751 C50 = 0.772713263505284166491157581914 C51 = 0.805359610592364319092255079883 C52 = 0.808330535331962523938241148960 C53 = 0.809657193618630146147599046091 C54 = 0.812628118358228350993585115168 C55 = 0.847459883436223575774128099676 C56 = 0.847494925673622712950786179594 C57 = 0.850650808352039932181540497063 = sqrt(10 * (5 + sqrt(5))) / 10 C58 = 0.934172358962715696451118623548 = (sqrt(3) + sqrt(15)) / 6 C59 = 0.940018766956327768571869414497 C60 = 0.940575147933186516958258357588 C61 = 0.94298444930854930972804998191546 C62 = 0.944425834976455438761998044502 C63 = 0.987618253200593280929134218791 C64 = 0.999971409871718505255008995430 V0 = ( C4, -C1, C64) V1 = ( C4, C1, -C64) V2 = ( -C4, C1, C64) V3 = ( -C4, -C1, -C64) V4 = ( C64, -C4, C1) V5 = ( C64, C4, -C1) V6 = (-C64, C4, C1) V7 = (-C64, -C4, -C1) V8 = ( C1, -C64, C4) V9 = ( C1, C64, -C4) V10 = ( -C1, C64, C4) V11 = ( -C1, -C64, -C4) V12 = ( C5, -C0, C63) V13 = ( C5, C0, -C63) V14 = ( -C5, C0, C63) V15 = ( -C5, -C0, -C63) V16 = ( C63, C5, -C0) V17 = ( C63, -C5, C0) V18 = (-C63, -C5, -C0) V19 = (-C63, C5, C0) V20 = ( -C0, C63, C5) V21 = ( -C0, -C63, -C5) V22 = ( C0, -C63, C5) V23 = ( C0, C63, -C5) V24 = ( C12, C7, C62) V25 = ( C12, -C7, -C62) V26 = (-C12, -C7, C62) V27 = (-C12, C7, -C62) V28 = ( C62, C12, C7) V29 = ( C62, -C12, -C7) V30 = (-C62, -C12, C7) V31 = (-C62, C12, -C7) V32 = ( C7, C62, C12) V33 = ( C7, -C62, -C12) V34 = ( -C7, -C62, C12) V35 = ( -C7, C62, -C12) V36 = ( 0.0, C24, C58) V37 = ( 0.0, C24, -C58) V38 = ( 0.0, -C24, C58) V39 = ( 0.0, -C24, -C58) V40 = ( C58, 0.0, C24) V41 = ( C58, 0.0, -C24) V42 = (-C58, 0.0, C24) V43 = (-C58, 0.0, -C24) V44 = ( C24, C58, 0.0) V45 = ( C24, -C58, 0.0) V46 = (-C24, C58, 0.0) V47 = (-C24, -C58, 0.0) V48 = ( C14, -C6, C61) V49 = ( C14, C6, -C61) V50 = (-C14, C6, C61) V51 = (-C14, -C6, -C61) V52 = ( C61, -C14, C6) V53 = ( C61, C14, -C6) V54 = (-C61, C14, C6) V55 = (-C61, -C14, -C6) V56 = ( C6, -C61, C14) V57 = ( C6, C61, -C14) V58 = ( -C6, C61, C14) V59 = ( -C6, -C61, -C14) V60 = ( C13, -C9, C60) V61 = ( C13, C9, -C60) V62 = (-C13, C9, C60) V63 = (-C13, -C9, -C60) V64 = ( C60, -C13, C9) V65 = ( C60, C13, -C9) V66 = (-C60, C13, C9) V67 = (-C60, -C13, -C9) V68 = ( C9, -C60, C13) V69 = ( C9, C60, -C13) V70 = ( -C9, C60, C13) V71 = ( -C9, -C60, -C13) V72 = ( C15, C8, C59) V73 = ( C15, -C8, -C59) V74 = (-C15, -C8, C59) V75 = (-C15, C8, -C59) V76 = ( C59, C15, C8) V77 = ( C59, -C15, -C8) V78 = (-C59, -C15, C8) V79 = (-C59, C15, -C8) V80 = ( C8, C59, C15) V81 = ( C8, -C59, -C15) V82 = ( -C8, -C59, C15) V83 = ( -C8, C59, -C15) V84 = ( C33, 0.0, C57) V85 = ( C33, 0.0, -C57) V86 = (-C33, 0.0, C57) V87 = (-C33, 0.0, -C57) V88 = ( C57, C33, 0.0) V89 = ( C57, -C33, 0.0) V90 = (-C57, C33, 0.0) V91 = (-C57, -C33, 0.0) V92 = ( 0.0, C57, C33) V93 = ( 0.0, C57, -C33) V94 = ( 0.0, -C57, C33) V95 = ( 0.0, -C57, -C33) V96 = ( C28, -C26, C55) V97 = ( C28, C26, -C55) V98 = (-C28, C26, C55) V99 = (-C28, -C26, -C55) V100 = ( C55, -C28, C26) V101 = ( C55, C28, -C26) V102 = (-C55, C28, C26) V103 = (-C55, -C28, -C26) V104 = ( C26, -C55, C28) V105 = ( C26, C55, -C28) V106 = (-C26, C55, C28) V107 = (-C26, -C55, -C28) V108 = ( C27, C25, C56) V109 = ( C27, -C25, -C56) V110 = (-C27, -C25, C56) V111 = (-C27, C25, -C56) V112 = ( C56, C27, C25) V113 = ( C56, -C27, -C25) V114 = (-C56, -C27, C25) V115 = (-C56, C27, -C25) V116 = ( C25, C56, C27) V117 = ( C25, -C56, -C27) V118 = (-C25, -C56, C27) V119 = (-C25, C56, -C27) V120 = ( C22, C29, C54) V121 = ( C22, -C29, -C54) V122 = (-C22, -C29, C54) V123 = (-C22, C29, -C54) V124 = ( C54, C22, C29) V125 = ( C54, -C22, -C29) V126 = (-C54, -C22, C29) V127 = (-C54, C22, -C29) V128 = ( C29, C54, C22) V129 = ( C29, -C54, -C22) V130 = (-C29, -C54, C22) V131 = (-C29, C54, -C22) V132 = ( C18, -C31, C52) V133 = ( C18, C31, -C52) V134 = (-C18, C31, C52) V135 = (-C18, -C31, -C52) V136 = ( C52, -C18, C31) V137 = ( C52, C18, -C31) V138 = (-C52, C18, C31) V139 = (-C52, -C18, -C31) V140 = ( C31, -C52, C18) V141 = ( C31, C52, -C18) V142 = (-C31, C52, C18) V143 = (-C31, -C52, -C18) V144 = ( C36, -C17, C48) V145 = ( C36, C17, -C48) V146 = (-C36, C17, C48) V147 = (-C36, -C17, -C48) V148 = ( C48, -C36, C17) V149 = ( C48, C36, -C17) V150 = (-C48, C36, C17) V151 = (-C48, -C36, -C17) V152 = ( C17, -C48, C36) V153 = ( C17, C48, -C36) V154 = (-C17, C48, C36) V155 = (-C17, -C48, -C36) V156 = ( C23, -C30, C53) V157 = ( C23, C30, -C53) V158 = (-C23, C30, C53) V159 = (-C23, -C30, -C53) V160 = ( C53, -C23, C30) V161 = ( C53, C23, -C30) V162 = (-C53, C23, C30) V163 = (-C53, -C23, -C30) V164 = ( C30, -C53, C23) V165 = ( C30, C53, -C23) V166 = (-C30, C53, C23) V167 = (-C30, -C53, -C23) V168 = ( C3, C41, C50) V169 = ( C3, -C41, -C50) V170 = ( -C3, -C41, C50) V171 = ( -C3, C41, -C50) V172 = ( C50, C3, C41) V173 = ( C50, -C3, -C41) V174 = (-C50, -C3, C41) V175 = (-C50, C3, -C41) V176 = ( C41, C50, C3) V177 = ( C41, -C50, -C3) V178 = (-C41, -C50, C3) V179 = (-C41, C50, -C3) V180 = ( C35, C21, C47) V181 = ( C35, -C21, -C47) V182 = (-C35, -C21, C47) V183 = (-C35, C21, -C47) V184 = ( C47, C35, C21) V185 = ( C47, -C35, -C21) V186 = (-C47, -C35, C21) V187 = (-C47, C35, -C21) V188 = ( C21, C47, C35) V189 = ( C21, -C47, -C35) V190 = (-C21, -C47, C35) V191 = (-C21, C47, -C35) V192 = ( C20, C32, C51) V193 = ( C20, -C32, -C51) V194 = (-C20, -C32, C51) V195 = (-C20, C32, -C51) V196 = ( C51, C20, C32) V197 = ( C51, -C20, -C32) V198 = (-C51, -C20, C32) V199 = (-C51, C20, -C32) V200 = ( C32, C51, C20) V201 = ( C32, -C51, -C20) V202 = (-C32, -C51, C20) V203 = (-C32, C51, -C20) V204 = ( C37, C16, C46) V205 = ( C37, -C16, -C46) V206 = (-C37, -C16, C46) V207 = (-C37, C16, -C46) V208 = ( C46, C37, C16) V209 = ( C46, -C37, -C16) V210 = (-C46, -C37, C16) V211 = (-C46, C37, -C16) V212 = ( C16, C46, C37) V213 = ( C16, -C46, -C37) V214 = (-C16, -C46, C37) V215 = (-C16, C46, -C37) V216 = ( C11, C40, C44) V217 = ( C11, -C40, -C44) V218 = (-C11, -C40, C44) V219 = (-C11, C40, -C44) V220 = ( C44, C11, C40) V221 = ( C44, -C11, -C40) V222 = (-C44, -C11, C40) V223 = (-C44, C11, -C40) V224 = ( C40, C44, C11) V225 = ( C40, -C44, -C11) V226 = (-C40, -C44, C11) V227 = (-C40, C44, -C11) V228 = ( C10, -C39, C45) V229 = ( C10, C39, -C45) V230 = (-C10, C39, C45) V231 = (-C10, -C39, -C45) V232 = ( C45, -C10, C39) V233 = ( C45, C10, -C39) V234 = (-C45, C10, C39) V235 = (-C45, -C10, -C39) V236 = ( C39, -C45, C10) V237 = ( C39, C45, -C10) V238 = (-C39, C45, C10) V239 = (-C39, -C45, -C10) V240 = ( C38, -C19, C43) V241 = ( C38, C19, -C43) V242 = (-C38, C19, C43) V243 = (-C38, -C19, -C43) V244 = ( C43, -C38, C19) V245 = ( C43, C38, -C19) V246 = (-C43, C38, C19) V247 = (-C43, -C38, -C19) V248 = ( C19, -C43, C38) V249 = ( C19, C43, -C38) V250 = (-C19, C43, C38) V251 = (-C19, -C43, -C38) V252 = ( C2, -C42, C49) V253 = ( C2, C42, -C49) V254 = ( -C2, C42, C49) V255 = ( -C2, -C42, -C49) V256 = ( C49, -C2, C42) V257 = ( C49, C2, -C42) V258 = (-C49, C2, C42) V259 = (-C49, -C2, -C42) V260 = ( C42, -C49, C2) V261 = ( C42, C49, -C2) V262 = (-C42, C49, C2) V263 = (-C42, -C49, -C2) V264 = ( C34, C34, C34) V265 = ( C34, C34, -C34) V266 = ( C34, -C34, C34) V267 = ( C34, -C34, -C34) V268 = (-C34, C34, C34) V269 = (-C34, C34, -C34) V270 = (-C34, -C34, C34) V271 = (-C34, -C34, -C34) Faces: { 24, 36, 2, 0, 12 } { 25, 39, 3, 1, 13 } { 26, 38, 0, 2, 14 } { 27, 37, 1, 3, 15 } { 28, 40, 4, 5, 16 } { 29, 41, 5, 4, 17 } { 30, 42, 6, 7, 18 } { 31, 43, 7, 6, 19 } { 32, 44, 9, 10, 20 } { 33, 45, 8, 11, 21 } { 34, 47, 11, 8, 22 } { 35, 46, 10, 9, 23 } { 36, 134, 158, 98, 62 } { 37, 133, 157, 97, 61 } { 38, 132, 156, 96, 60 } { 39, 135, 159, 99, 63 } { 40, 136, 160, 100, 64 } { 41, 137, 161, 101, 65 } { 42, 138, 162, 102, 66 } { 43, 139, 163, 103, 67 } { 44, 141, 165, 105, 69 } { 45, 140, 164, 104, 68 } { 46, 142, 166, 106, 70 } { 47, 143, 167, 107, 71 } { 108, 180, 264, 192, 120 } { 109, 181, 267, 193, 121 } { 110, 182, 270, 194, 122 } { 111, 183, 269, 195, 123 } { 112, 184, 264, 196, 124 } { 113, 185, 267, 197, 125 } { 114, 186, 270, 198, 126 } { 115, 187, 269, 199, 127 } { 116, 188, 264, 200, 128 } { 117, 189, 267, 201, 129 } { 118, 190, 270, 202, 130 } { 119, 191, 269, 203, 131 } { 120, 192, 216, 168, 36 } { 121, 193, 217, 169, 39 } { 122, 194, 218, 170, 38 } { 123, 195, 219, 171, 37 } { 124, 196, 220, 172, 40 } { 125, 197, 221, 173, 41 } { 126, 198, 222, 174, 42 } { 127, 199, 223, 175, 43 } { 128, 200, 224, 176, 44 } { 129, 201, 225, 177, 45 } { 130, 202, 226, 178, 47 } { 131, 203, 227, 179, 46 } { 132, 228, 248, 266, 156 } { 133, 229, 249, 265, 157 } { 134, 230, 250, 268, 158 } { 135, 231, 251, 271, 159 } { 136, 232, 240, 266, 160 } { 137, 233, 241, 265, 161 } { 138, 234, 242, 268, 162 } { 139, 235, 243, 271, 163 } { 140, 236, 244, 266, 164 } { 141, 237, 245, 265, 165 } { 142, 238, 246, 268, 166 } { 143, 239, 247, 271, 167 } { 12, 0, 38, 60, 48 } { 13, 1, 37, 61, 49 } { 14, 2, 36, 62, 50 } { 15, 3, 39, 63, 51 } { 16, 5, 41, 65, 53 } { 17, 4, 40, 64, 52 } { 18, 7, 43, 67, 55 } { 19, 6, 42, 66, 54 } { 20, 10, 46, 70, 58 } { 21, 11, 47, 71, 59 } { 22, 8, 45, 68, 56 } { 23, 9, 44, 69, 57 } { 24, 72, 108, 120, 36 } { 25, 73, 109, 121, 39 } { 26, 74, 110, 122, 38 } { 27, 75, 111, 123, 37 } { 28, 76, 112, 124, 40 } { 29, 77, 113, 125, 41 } { 30, 78, 114, 126, 42 } { 31, 79, 115, 127, 43 } { 32, 80, 116, 128, 44 } { 33, 81, 117, 129, 45 } { 34, 82, 118, 130, 47 } { 35, 83, 119, 131, 46 } { 156, 266, 240, 144, 96 } { 157, 265, 241, 145, 97 } { 158, 268, 242, 146, 98 } { 159, 271, 243, 147, 99 } { 160, 266, 244, 148, 100 } { 161, 265, 245, 149, 101 } { 162, 268, 246, 150, 102 } { 163, 271, 247, 151, 103 } { 164, 266, 248, 152, 104 } { 165, 265, 249, 153, 105 } { 166, 268, 250, 154, 106 } { 167, 271, 251, 155, 107 } { 168, 254, 230, 134, 36 } { 169, 255, 231, 135, 39 } { 170, 252, 228, 132, 38 } { 171, 253, 229, 133, 37 } { 172, 256, 232, 136, 40 } { 173, 257, 233, 137, 41 } { 174, 258, 234, 138, 42 } { 175, 259, 235, 139, 43 } { 176, 261, 237, 141, 44 } { 177, 260, 236, 140, 45 } { 178, 263, 239, 143, 47 } { 179, 262, 238, 142, 46 } { 180, 204, 220, 196, 264 } { 181, 205, 221, 197, 267 } { 182, 206, 222, 198, 270 } { 183, 207, 223, 199, 269 } { 184, 208, 224, 200, 264 } { 185, 209, 225, 201, 267 } { 186, 210, 226, 202, 270 } { 187, 211, 227, 203, 269 } { 188, 212, 216, 192, 264 } { 189, 213, 217, 193, 267 } { 190, 214, 218, 194, 270 } { 191, 215, 219, 195, 269 } { 84, 48, 60, 96, 144 } { 84, 144, 240, 232, 256 } { 84, 256, 172, 220, 204 } { 84, 204, 180, 108, 72 } { 84, 72, 24, 12, 48 } { 85, 49, 61, 97, 145 } { 85, 145, 241, 233, 257 } { 85, 257, 173, 221, 205 } { 85, 205, 181, 109, 73 } { 85, 73, 25, 13, 49 } { 86, 50, 62, 98, 146 } { 86, 146, 242, 234, 258 } { 86, 258, 174, 222, 206 } { 86, 206, 182, 110, 74 } { 86, 74, 26, 14, 50 } { 87, 51, 63, 99, 147 } { 87, 147, 243, 235, 259 } { 87, 259, 175, 223, 207 } { 87, 207, 183, 111, 75 } { 87, 75, 27, 15, 51 } { 88, 53, 65, 101, 149 } { 88, 149, 245, 237, 261 } { 88, 261, 176, 224, 208 } { 88, 208, 184, 112, 76 } { 88, 76, 28, 16, 53 } { 89, 52, 64, 100, 148 } { 89, 148, 244, 236, 260 } { 89, 260, 177, 225, 209 } { 89, 209, 185, 113, 77 } { 89, 77, 29, 17, 52 } { 90, 54, 66, 102, 150 } { 90, 150, 246, 238, 262 } { 90, 262, 179, 227, 211 } { 90, 211, 187, 115, 79 } { 90, 79, 31, 19, 54 } { 91, 55, 67, 103, 151 } { 91, 151, 247, 239, 263 } { 91, 263, 178, 226, 210 } { 91, 210, 186, 114, 78 } { 91, 78, 30, 18, 55 } { 92, 58, 70, 106, 154 } { 92, 154, 250, 230, 254 } { 92, 254, 168, 216, 212 } { 92, 212, 188, 116, 80 } { 92, 80, 32, 20, 58 } { 93, 57, 69, 105, 153 } { 93, 153, 249, 229, 253 } { 93, 253, 171, 219, 215 } { 93, 215, 191, 119, 83 } { 93, 83, 35, 23, 57 } { 94, 56, 68, 104, 152 } { 94, 152, 248, 228, 252 } { 94, 252, 170, 218, 214 } { 94, 214, 190, 118, 82 } { 94, 82, 34, 22, 56 } { 95, 59, 71, 107, 155 } { 95, 155, 251, 231, 255 } { 95, 255, 169, 217, 213 } { 95, 213, 189, 117, 81 } { 95, 81, 33, 21, 59 }