Truncated Pentakis Dodecahedron (canonical) C0 = 0.570466269319269795825909529138 C1 = 0.809016994374947424102293417183 C2 = 0.988076562465245897850037332344 C3 = 1.10338008983791194760035021736 C4 = 1.78530648786765398714960605666 C5 = 1.85410196624968454461376050310 C6 = 1.91111037565917576727519025667 C7 = 2.16920773087519625114923159382 C8 = 2.52177527474985632474847498900 C9 = 2.66311896062463196871605392028 C10 = 2.70212155139383840292367228204 C11 = 2.77338305033289988499964338901 C12 = 3.16311896062463196871605392028 C13 = 3.38404794942358044247292812134 C14 = 3.50985183721510222259851232134 C15 = 3.80901699437494742410229341718 C16 = 3.87676314017081183259999360637 C17 = 4.08031810653437201842442185048 C18 = 4.30901699437494742410229341718 C19 = 4.48742803926149239007327833871 C20 = 4.69098300562505257589770658282 C0 = (sqrt(15) - 1 - sqrt(3)) / 2 C1 = (1 + sqrt(5)) / 4 C2 = (3 * sqrt(5) - 3 - sqrt(3)) / 2 C3 = (6 - 7 * sqrt(3) + 5 * sqrt(15)) / 12 C4 = (3 + 9 * sqrt(3) + 3 * sqrt(5) - sqrt(15)) / 12 C5 = 3 * (sqrt(5) - 1) / 2 C6 = (2 * sqrt(3) - 7 + 5 * sqrt(5)) / 4 C7 = (10 - 3 * sqrt(3) + sqrt(15)) / 4 C8 = (11 + 3 * sqrt(3) - sqrt(5) - sqrt(15)) / 4 C9 = (7 * sqrt(5) - 5) / 4 C10 = (21 - 5 * sqrt(3) + sqrt(15)) / 6 C11 = (3 * sqrt(3) - 15 + 21 * sqrt(5) - sqrt(15)) / 12 C12 = (7 * sqrt(5) - 3) / 4 C13 = (39 + 6 * sqrt(3) + 3 * sqrt(5) - 4 * sqrt(15)) / 12 C14 = (5 + sqrt(3) + 5 * sqrt(5) - sqrt(15)) / 4 C15 = (13 + sqrt(5)) / 4 C16 = (21 * sqrt(5) - 9 - 4 * sqrt(3) + 4 * sqrt(15)) / 12 C17 = (3 - sqrt(3) + 5 * sqrt(5) + sqrt(15)) / 4 C18 = (15 + sqrt(5)) / 4 C19 = (45 - sqrt(3) + 3 * sqrt(5) + sqrt(15)) / 12 C20 = (21 - sqrt(5)) / 4 V0 = ( 0.0, C0, C20) V1 = ( 0.0, C0, -C20) V2 = ( 0.0, -C0, C20) V3 = ( 0.0, -C0, -C20) V4 = ( C20, 0.0, C0) V5 = ( C20, 0.0, -C0) V6 = (-C20, 0.0, C0) V7 = (-C20, 0.0, -C0) V8 = ( C0, C20, 0.0) V9 = ( C0, -C20, 0.0) V10 = ( -C0, C20, 0.0) V11 = ( -C0, -C20, 0.0) V12 = ( C2, C3, C19) V13 = ( C2, C3, -C19) V14 = ( C2, -C3, C19) V15 = ( C2, -C3, -C19) V16 = ( -C2, C3, C19) V17 = ( -C2, C3, -C19) V18 = ( -C2, -C3, C19) V19 = ( -C2, -C3, -C19) V20 = ( C19, C2, C3) V21 = ( C19, C2, -C3) V22 = ( C19, -C2, C3) V23 = ( C19, -C2, -C3) V24 = (-C19, C2, C3) V25 = (-C19, C2, -C3) V26 = (-C19, -C2, C3) V27 = (-C19, -C2, -C3) V28 = ( C3, C19, C2) V29 = ( C3, C19, -C2) V30 = ( C3, -C19, C2) V31 = ( C3, -C19, -C2) V32 = ( -C3, C19, C2) V33 = ( -C3, C19, -C2) V34 = ( -C3, -C19, C2) V35 = ( -C3, -C19, -C2) V36 = ( C5, 0.5, C18) V37 = ( C5, 0.5, -C18) V38 = ( C5, -0.5, C18) V39 = ( C5, -0.5, -C18) V40 = ( -C5, 0.5, C18) V41 = ( -C5, 0.5, -C18) V42 = ( -C5, -0.5, C18) V43 = ( -C5, -0.5, -C18) V44 = ( C18, C5, 0.5) V45 = ( C18, C5, -0.5) V46 = ( C18, -C5, 0.5) V47 = ( C18, -C5, -0.5) V48 = (-C18, C5, 0.5) V49 = (-C18, C5, -0.5) V50 = (-C18, -C5, 0.5) V51 = (-C18, -C5, -0.5) V52 = ( 0.5, C18, C5) V53 = ( 0.5, C18, -C5) V54 = ( 0.5, -C18, C5) V55 = ( 0.5, -C18, -C5) V56 = (-0.5, C18, C5) V57 = (-0.5, C18, -C5) V58 = (-0.5, -C18, C5) V59 = (-0.5, -C18, -C5) V60 = ( C2, C7, C17) V61 = ( C2, C7, -C17) V62 = ( C2, -C7, C17) V63 = ( C2, -C7, -C17) V64 = ( -C2, C7, C17) V65 = ( -C2, C7, -C17) V66 = ( -C2, -C7, C17) V67 = ( -C2, -C7, -C17) V68 = ( C17, C2, C7) V69 = ( C17, C2, -C7) V70 = ( C17, -C2, C7) V71 = ( C17, -C2, -C7) V72 = (-C17, C2, C7) V73 = (-C17, C2, -C7) V74 = (-C17, -C2, C7) V75 = (-C17, -C2, -C7) V76 = ( C7, C17, C2) V77 = ( C7, C17, -C2) V78 = ( C7, -C17, C2) V79 = ( C7, -C17, -C2) V80 = ( -C7, C17, C2) V81 = ( -C7, C17, -C2) V82 = ( -C7, -C17, C2) V83 = ( -C7, -C17, -C2) V84 = ( 0.0, C10, C16) V85 = ( 0.0, C10, -C16) V86 = ( 0.0, -C10, C16) V87 = ( 0.0, -C10, -C16) V88 = ( C16, 0.0, C10) V89 = ( C16, 0.0, -C10) V90 = (-C16, 0.0, C10) V91 = (-C16, 0.0, -C10) V92 = ( C10, C16, 0.0) V93 = ( C10, -C16, 0.0) V94 = (-C10, C16, 0.0) V95 = (-C10, -C16, 0.0) V96 = ( C9, C1, C15) V97 = ( C9, C1, -C15) V98 = ( C9, -C1, C15) V99 = ( C9, -C1, -C15) V100 = ( -C9, C1, C15) V101 = ( -C9, C1, -C15) V102 = ( -C9, -C1, C15) V103 = ( -C9, -C1, -C15) V104 = ( C15, C9, C1) V105 = ( C15, C9, -C1) V106 = ( C15, -C9, C1) V107 = ( C15, -C9, -C1) V108 = (-C15, C9, C1) V109 = (-C15, C9, -C1) V110 = (-C15, -C9, C1) V111 = (-C15, -C9, -C1) V112 = ( C1, C15, C9) V113 = ( C1, C15, -C9) V114 = ( C1, -C15, C9) V115 = ( C1, -C15, -C9) V116 = ( -C1, C15, C9) V117 = ( -C1, C15, -C9) V118 = ( -C1, -C15, C9) V119 = ( -C1, -C15, -C9) V120 = ( C6, C8, C14) V121 = ( C6, C8, -C14) V122 = ( C6, -C8, C14) V123 = ( C6, -C8, -C14) V124 = ( -C6, C8, C14) V125 = ( -C6, C8, -C14) V126 = ( -C6, -C8, C14) V127 = ( -C6, -C8, -C14) V128 = ( C14, C6, C8) V129 = ( C14, C6, -C8) V130 = ( C14, -C6, C8) V131 = ( C14, -C6, -C8) V132 = (-C14, C6, C8) V133 = (-C14, C6, -C8) V134 = (-C14, -C6, C8) V135 = (-C14, -C6, -C8) V136 = ( C8, C14, C6) V137 = ( C8, C14, -C6) V138 = ( C8, -C14, C6) V139 = ( C8, -C14, -C6) V140 = ( -C8, C14, C6) V141 = ( -C8, C14, -C6) V142 = ( -C8, -C14, C6) V143 = ( -C8, -C14, -C6) V144 = ( C12, 0.0, 3.5) V145 = ( C12, 0.0, -3.5) V146 = (-C12, 0.0, 3.5) V147 = (-C12, 0.0, -3.5) V148 = ( 3.5, C12, 0.0) V149 = ( 3.5, -C12, 0.0) V150 = (-3.5, C12, 0.0) V151 = (-3.5, -C12, 0.0) V152 = ( 0.0, 3.5, C12) V153 = ( 0.0, 3.5, -C12) V154 = ( 0.0, -3.5, C12) V155 = ( 0.0, -3.5, -C12) V156 = ( C11, C4, C13) V157 = ( C11, C4, -C13) V158 = ( C11, -C4, C13) V159 = ( C11, -C4, -C13) V160 = (-C11, C4, C13) V161 = (-C11, C4, -C13) V162 = (-C11, -C4, C13) V163 = (-C11, -C4, -C13) V164 = ( C13, C11, C4) V165 = ( C13, C11, -C4) V166 = ( C13, -C11, C4) V167 = ( C13, -C11, -C4) V168 = (-C13, C11, C4) V169 = (-C13, C11, -C4) V170 = (-C13, -C11, C4) V171 = (-C13, -C11, -C4) V172 = ( C4, C13, C11) V173 = ( C4, C13, -C11) V174 = ( C4, -C13, C11) V175 = ( C4, -C13, -C11) V176 = ( -C4, C13, C11) V177 = ( -C4, C13, -C11) V178 = ( -C4, -C13, C11) V179 = ( -C4, -C13, -C11) 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 }