Dual Geodesic Icosahedron Pattern 4 [3,0] (Truncated Pentakis Dodecahedron) C0 = 0.106587467786696283011051255361 C1 = 0.121609110208928950966683453499 C2 = 0.172462145653659113121563808973 C3 = 0.210633157545107989611443952076 C4 = 0.235212979564160980975286389547 C5 = 0.380582595529946895527449850287 C6 = 0.395248067201776980663075321669 C7 = 0.407400831204786858593142882290 C8 = 0.462420718274625040992492261642 C9 = 0.537579281725374959007507738358 C10 = 0.567710212855436093784639130642 C11 = 0.576024587629857071001095197690 C12 = 0.591215753075054885138893802363 C13 = 0.674297680642132376795690386003 C14 = 0.721394203595642985553258658431 C15 = 0.746112274506873981077358787528 C16 = 0.748212439270482948618951690433 C17 = 0.811986952373836811187871341140 C18 = 0.826428732639215866114180191910 C19 = 0.869821549479411899585635143932 C20 = 0.918574420160533094198922596501 C21 = 0.956607183159803966528545047977 C0 = (21 + sqrt(5)) / 218 C1 = (20 * sqrt(15) - 21 - 16 * sqrt(3) - sqrt(5)) / 218 C2 = (13 + 11 * sqrt(5)) / 218 C3 = (60 * sqrt(5) - 48 - 21 * sqrt(3) - sqrt(15)) / 218 C4 = (63 - 61 * sqrt(3) + 3 * sqrt(5) + 49 * sqrt(15)) / 654 C5 = (39 + 92 * sqrt(3) + 33 * sqrt(5) - 6 * sqrt(15)) / 654 C6 = 6 * (5 * sqrt(5) - 4) / 109 C7 = (21 * sqrt(3) - 61 + 49 * sqrt(5) + sqrt(15)) / 218 C8 = (105 - 29 * sqrt(3) + 5 * sqrt(5) + 9 * sqrt(15)) / 218 C9 = (113 + 29 * sqrt(3) - 5 * sqrt(5) - 9 * sqrt(15)) / 218 C10 = (71 * sqrt(5) - 35) / 218 C11 = (441 - 100 * sqrt(3) + 21 * sqrt(5) + 16 * sqrt(15)) / 654 C12 = (29 * sqrt(3) - 105 + 213 * sqrt(5) - 9 * sqrt(15)) / 654 C13 = (36 * sqrt(5) - 7) / 109 C14 = (417 + 53 * sqrt(3) + 51 * sqrt(5) - 39 * sqrt(15)) / 654 C15 = 7 * (21 + sqrt(5)) / 218 C16 = (65 + 8 * sqrt(3) + 55 * sqrt(5) - 10 * sqrt(15)) / 218 C17 = (139 + 17 * sqrt(5)) / 218 C18 = (108 * sqrt(5) - 21 - 16 * sqrt(3) + 20 * sqrt(15)) / 327 C19 = (22 - 4 * sqrt(3) + 27 * sqrt(5) + 5 * sqrt(15)) / 109 C20 = (80 + 9 * sqrt(5)) / 109 C21 = (240 - 4 * sqrt(3) + 27 * sqrt(5) + 5 * sqrt(15)) / 327 V0 = ( 0.0, C1, 1.0) V1 = ( 0.0, C1, -1.0) V2 = ( 0.0, -C1, 1.0) V3 = ( 0.0, -C1, -1.0) V4 = ( 1.0, 0.0, C1) V5 = ( 1.0, 0.0, -C1) V6 = (-1.0, 0.0, C1) V7 = (-1.0, 0.0, -C1) V8 = ( C1, 1.0, 0.0) V9 = ( C1, -1.0, 0.0) V10 = ( -C1, 1.0, 0.0) V11 = ( -C1, -1.0, 0.0) V12 = ( C3, C4, C21) V13 = ( C3, C4, -C21) V14 = ( C3, -C4, C21) V15 = ( C3, -C4, -C21) V16 = ( -C3, C4, C21) V17 = ( -C3, C4, -C21) V18 = ( -C3, -C4, C21) V19 = ( -C3, -C4, -C21) V20 = ( C21, C3, C4) V21 = ( C21, C3, -C4) V22 = ( C21, -C3, C4) V23 = ( C21, -C3, -C4) V24 = (-C21, C3, C4) V25 = (-C21, C3, -C4) V26 = (-C21, -C3, C4) V27 = (-C21, -C3, -C4) V28 = ( C4, C21, C3) V29 = ( C4, C21, -C3) V30 = ( C4, -C21, C3) V31 = ( C4, -C21, -C3) V32 = ( -C4, C21, C3) V33 = ( -C4, C21, -C3) V34 = ( -C4, -C21, C3) V35 = ( -C4, -C21, -C3) V36 = ( C6, C0, C20) V37 = ( C6, C0, -C20) V38 = ( C6, -C0, C20) V39 = ( C6, -C0, -C20) V40 = ( -C6, C0, C20) V41 = ( -C6, C0, -C20) V42 = ( -C6, -C0, C20) V43 = ( -C6, -C0, -C20) V44 = ( C20, C6, C0) V45 = ( C20, C6, -C0) V46 = ( C20, -C6, C0) V47 = ( C20, -C6, -C0) V48 = (-C20, C6, C0) V49 = (-C20, C6, -C0) V50 = (-C20, -C6, C0) V51 = (-C20, -C6, -C0) V52 = ( C0, C20, C6) V53 = ( C0, C20, -C6) V54 = ( C0, -C20, C6) V55 = ( C0, -C20, -C6) V56 = ( -C0, C20, C6) V57 = ( -C0, C20, -C6) V58 = ( -C0, -C20, C6) V59 = ( -C0, -C20, -C6) V60 = ( C3, C8, C19) V61 = ( C3, C8, -C19) V62 = ( C3, -C8, C19) V63 = ( C3, -C8, -C19) V64 = ( -C3, C8, C19) V65 = ( -C3, C8, -C19) V66 = ( -C3, -C8, C19) V67 = ( -C3, -C8, -C19) V68 = ( C19, C3, C8) V69 = ( C19, C3, -C8) V70 = ( C19, -C3, C8) V71 = ( C19, -C3, -C8) V72 = (-C19, C3, C8) V73 = (-C19, C3, -C8) V74 = (-C19, -C3, C8) V75 = (-C19, -C3, -C8) V76 = ( C8, C19, C3) V77 = ( C8, C19, -C3) V78 = ( C8, -C19, C3) V79 = ( C8, -C19, -C3) V80 = ( -C8, C19, C3) V81 = ( -C8, C19, -C3) V82 = ( -C8, -C19, C3) V83 = ( -C8, -C19, -C3) V84 = ( 0.0, C11, C18) V85 = ( 0.0, C11, -C18) V86 = ( 0.0, -C11, C18) V87 = ( 0.0, -C11, -C18) V88 = ( C18, 0.0, C11) V89 = ( C18, 0.0, -C11) V90 = (-C18, 0.0, C11) V91 = (-C18, 0.0, -C11) V92 = ( C11, C18, 0.0) V93 = ( C11, -C18, 0.0) V94 = (-C11, C18, 0.0) V95 = (-C11, -C18, 0.0) V96 = ( C10, C2, C17) V97 = ( C10, C2, -C17) V98 = ( C10, -C2, C17) V99 = ( C10, -C2, -C17) V100 = (-C10, C2, C17) V101 = (-C10, C2, -C17) V102 = (-C10, -C2, C17) V103 = (-C10, -C2, -C17) V104 = ( C17, C10, C2) V105 = ( C17, C10, -C2) V106 = ( C17, -C10, C2) V107 = ( C17, -C10, -C2) V108 = (-C17, C10, C2) V109 = (-C17, C10, -C2) V110 = (-C17, -C10, C2) V111 = (-C17, -C10, -C2) V112 = ( C2, C17, C10) V113 = ( C2, C17, -C10) V114 = ( C2, -C17, C10) V115 = ( C2, -C17, -C10) V116 = ( -C2, C17, C10) V117 = ( -C2, C17, -C10) V118 = ( -C2, -C17, C10) V119 = ( -C2, -C17, -C10) V120 = ( C7, C9, C16) V121 = ( C7, C9, -C16) V122 = ( C7, -C9, C16) V123 = ( C7, -C9, -C16) V124 = ( -C7, C9, C16) V125 = ( -C7, C9, -C16) V126 = ( -C7, -C9, C16) V127 = ( -C7, -C9, -C16) V128 = ( C16, C7, C9) V129 = ( C16, C7, -C9) V130 = ( C16, -C7, C9) V131 = ( C16, -C7, -C9) V132 = (-C16, C7, C9) V133 = (-C16, C7, -C9) V134 = (-C16, -C7, C9) V135 = (-C16, -C7, -C9) V136 = ( C9, C16, C7) V137 = ( C9, C16, -C7) V138 = ( C9, -C16, C7) V139 = ( C9, -C16, -C7) V140 = ( -C9, C16, C7) V141 = ( -C9, C16, -C7) V142 = ( -C9, -C16, C7) V143 = ( -C9, -C16, -C7) V144 = ( C13, 0.0, C15) V145 = ( C13, 0.0, -C15) V146 = (-C13, 0.0, C15) V147 = (-C13, 0.0, -C15) V148 = ( C15, C13, 0.0) V149 = ( C15, -C13, 0.0) V150 = (-C15, C13, 0.0) V151 = (-C15, -C13, 0.0) V152 = ( 0.0, C15, C13) V153 = ( 0.0, C15, -C13) V154 = ( 0.0, -C15, C13) V155 = ( 0.0, -C15, -C13) V156 = ( C12, C5, C14) V157 = ( C12, C5, -C14) V158 = ( C12, -C5, C14) V159 = ( C12, -C5, -C14) V160 = (-C12, C5, C14) V161 = (-C12, C5, -C14) V162 = (-C12, -C5, C14) V163 = (-C12, -C5, -C14) V164 = ( C14, C12, C5) V165 = ( C14, C12, -C5) V166 = ( C14, -C12, C5) V167 = ( C14, -C12, -C5) V168 = (-C14, C12, C5) V169 = (-C14, C12, -C5) V170 = (-C14, -C12, C5) V171 = (-C14, -C12, -C5) V172 = ( C5, C14, C12) V173 = ( C5, C14, -C12) V174 = ( C5, -C14, C12) V175 = ( C5, -C14, -C12) V176 = ( -C5, C14, C12) V177 = ( -C5, C14, -C12) V178 = ( -C5, -C14, C12) V179 = ( -C5, -C14, -C12) Faces: { 0, 12, 60, 84, 64, 16 } { 1, 17, 65, 85, 61, 13 } { 2, 18, 66, 86, 62, 14 } { 3, 15, 63, 87, 67, 19 } { 4, 20, 68, 88, 70, 22 } { 5, 23, 71, 89, 69, 21 } { 6, 26, 74, 90, 72, 24 } { 7, 25, 73, 91, 75, 27 } { 8, 28, 76, 92, 77, 29 } { 9, 31, 79, 93, 78, 30 } { 10, 33, 81, 94, 80, 32 } { 11, 34, 82, 95, 83, 35 } { 120, 156, 128, 164, 136, 172 } { 121, 173, 137, 165, 129, 157 } { 122, 174, 138, 166, 130, 158 } { 123, 159, 131, 167, 139, 175 } { 124, 176, 140, 168, 132, 160 } { 125, 161, 133, 169, 141, 177 } { 126, 162, 134, 170, 142, 178 } { 127, 179, 143, 171, 135, 163 } { 0, 2, 14, 38, 36, 12 } { 1, 3, 19, 43, 41, 17 } { 2, 0, 16, 40, 42, 18 } { 3, 1, 13, 37, 39, 15 } { 4, 5, 21, 45, 44, 20 } { 5, 4, 22, 46, 47, 23 } { 6, 7, 27, 51, 50, 26 } { 7, 6, 24, 48, 49, 25 } { 8, 10, 32, 56, 52, 28 } { 9, 11, 35, 59, 55, 31 } { 10, 8, 29, 53, 57, 33 } { 11, 9, 30, 54, 58, 34 } { 12, 36, 96, 156, 120, 60 } { 13, 61, 121, 157, 97, 37 } { 14, 62, 122, 158, 98, 38 } { 15, 39, 99, 159, 123, 63 } { 16, 64, 124, 160, 100, 40 } { 17, 41, 101, 161, 125, 65 } { 18, 42, 102, 162, 126, 66 } { 19, 67, 127, 163, 103, 43 } { 20, 44, 104, 164, 128, 68 } { 21, 69, 129, 165, 105, 45 } { 22, 70, 130, 166, 106, 46 } { 23, 47, 107, 167, 131, 71 } { 24, 72, 132, 168, 108, 48 } { 25, 49, 109, 169, 133, 73 } { 26, 50, 110, 170, 134, 74 } { 27, 75, 135, 171, 111, 51 } { 28, 52, 112, 172, 136, 76 } { 29, 77, 137, 173, 113, 53 } { 30, 78, 138, 174, 114, 54 } { 31, 55, 115, 175, 139, 79 } { 32, 80, 140, 176, 116, 56 } { 33, 57, 117, 177, 141, 81 } { 34, 58, 118, 178, 142, 82 } { 35, 83, 143, 179, 119, 59 } { 60, 120, 172, 112, 152, 84 } { 61, 85, 153, 113, 173, 121 } { 62, 86, 154, 114, 174, 122 } { 63, 123, 175, 115, 155, 87 } { 64, 84, 152, 116, 176, 124 } { 65, 125, 177, 117, 153, 85 } { 66, 126, 178, 118, 154, 86 } { 67, 87, 155, 119, 179, 127 } { 68, 128, 156, 96, 144, 88 } { 69, 89, 145, 97, 157, 129 } { 70, 88, 144, 98, 158, 130 } { 71, 131, 159, 99, 145, 89 } { 72, 90, 146, 100, 160, 132 } { 73, 133, 161, 101, 147, 91 } { 74, 134, 162, 102, 146, 90 } { 75, 91, 147, 103, 163, 135 } { 76, 136, 164, 104, 148, 92 } { 77, 92, 148, 105, 165, 137 } { 78, 93, 149, 106, 166, 138 } { 79, 139, 167, 107, 149, 93 } { 80, 94, 150, 108, 168, 140 } { 81, 141, 169, 109, 150, 94 } { 82, 142, 170, 110, 151, 95 } { 83, 95, 151, 111, 171, 143 } { 144, 96, 36, 38, 98 } { 145, 99, 39, 37, 97 } { 146, 102, 42, 40, 100 } { 147, 101, 41, 43, 103 } { 148, 104, 44, 45, 105 } { 149, 107, 47, 46, 106 } { 150, 109, 49, 48, 108 } { 151, 110, 50, 51, 111 } { 152, 112, 52, 56, 116 } { 153, 117, 57, 53, 113 } { 154, 118, 58, 54, 114 } { 155, 115, 55, 59, 119 }