Joined Truncated Icosidodecahedron C0 = 1.17518645301134929748244365923 = 3 * (15 + sqrt(5)) / 44 C1 = 1.30901699437494742410229341718 = (3 + sqrt(5)) / 4 C2 = 1.38196601125010515179541316563 = (5 - sqrt(5)) / 2 C3 = 1.61803398874989484820458683437 = (1 + sqrt(5)) / 2 C4 = 1.80901699437494742410229341718 = (5 + sqrt(5)) / 4 C5 = 1.901491624090794379859549273853 = 3 * (5 + 4 * sqrt(5)) / 22 C6 = 2.11803398874989484820458683437 = (2 + sqrt(5)) / 2 C7 = 2.17082039324993690892275210062 = 3 * (5 + sqrt(5)) / 10 C8 = 2.23606797749978969640917366873 = sqrt(5) C9 = 2.427050983124842272306880251548 = 3 * (1 + sqrt(5)) / 4 C10 = 2.61803398874989484820458683437 = (3 + sqrt(5)) / 2 C11 = 2.927050983124842272306880251548 = (5 + 3 * sqrt(5)) / 4 C12 = 3.07667807710214367734199293309 = 3 * (25 + 9 * sqrt(5)) / 44 C13 = 3.11803398874989484820458683437 = (4 + sqrt(5)) / 2 C14 = 3.427050983124842272306880251548 = (7 + 3 * sqrt(5)) / 4 C15 = 3.51246117974981072676825630186 = 3 * (5 + 3 * sqrt(5)) / 10 C16 = 3.61803398874989484820458683437 = (5 + sqrt(5)) / 2 C17 = 3.73606797749978969640917366873 = (3 + 2 * sqrt(5)) / 2 C18 = 3.80298324818158875971909854771 = 3 * (5 + 4 * sqrt(5)) / 11 V0 = ( 0.0, 0.0, C18) V1 = ( 0.0, 0.0, -C18) V2 = ( C18, 0.0, 0.0) V3 = (-C18, 0.0, 0.0) V4 = ( 0.0, C18, 0.0) V5 = ( 0.0, -C18, 0.0) V6 = ( 0.5, 0.5, C17) V7 = ( 0.5, 0.5, -C17) V8 = ( 0.5, -0.5, C17) V9 = ( 0.5, -0.5, -C17) V10 = (-0.5, 0.5, C17) V11 = (-0.5, 0.5, -C17) V12 = (-0.5, -0.5, C17) V13 = (-0.5, -0.5, -C17) V14 = ( C17, 0.5, 0.5) V15 = ( C17, 0.5, -0.5) V16 = ( C17, -0.5, 0.5) V17 = ( C17, -0.5, -0.5) V18 = (-C17, 0.5, 0.5) V19 = (-C17, 0.5, -0.5) V20 = (-C17, -0.5, 0.5) V21 = (-C17, -0.5, -0.5) V22 = ( 0.5, C17, 0.5) V23 = ( 0.5, C17, -0.5) V24 = ( 0.5, -C17, 0.5) V25 = ( 0.5, -C17, -0.5) V26 = (-0.5, C17, 0.5) V27 = (-0.5, C17, -0.5) V28 = (-0.5, -C17, 0.5) V29 = (-0.5, -C17, -0.5) V30 = ( 0.0, C2, C16) V31 = ( 0.0, C2, -C16) V32 = ( 0.0, -C2, C16) V33 = ( 0.0, -C2, -C16) V34 = ( C16, 0.0, C2) V35 = ( C16, 0.0, -C2) V36 = (-C16, 0.0, C2) V37 = (-C16, 0.0, -C2) V38 = ( C2, C16, 0.0) V39 = ( C2, -C16, 0.0) V40 = ( -C2, C16, 0.0) V41 = ( -C2, -C16, 0.0) V42 = ( C7, 0.0, C15) V43 = ( C7, 0.0, -C15) V44 = ( -C7, 0.0, C15) V45 = ( -C7, 0.0, -C15) V46 = ( C15, C7, 0.0) V47 = ( C15, -C7, 0.0) V48 = (-C15, C7, 0.0) V49 = (-C15, -C7, 0.0) V50 = ( 0.0, C15, C7) V51 = ( 0.0, C15, -C7) V52 = ( 0.0, -C15, C7) V53 = ( 0.0, -C15, -C7) V54 = ( 1.0, C1, C14) V55 = ( 1.0, C1, -C14) V56 = ( 1.0, -C1, C14) V57 = ( 1.0, -C1, -C14) V58 = (-1.0, C1, C14) V59 = (-1.0, C1, -C14) V60 = (-1.0, -C1, C14) V61 = (-1.0, -C1, -C14) V62 = ( C14, 1.0, C1) V63 = ( C14, 1.0, -C1) V64 = ( C14, -1.0, C1) V65 = ( C14, -1.0, -C1) V66 = (-C14, 1.0, C1) V67 = (-C14, 1.0, -C1) V68 = (-C14, -1.0, C1) V69 = (-C14, -1.0, -C1) V70 = ( C1, C14, 1.0) V71 = ( C1, C14, -1.0) V72 = ( C1, -C14, 1.0) V73 = ( C1, -C14, -1.0) V74 = ( -C1, C14, 1.0) V75 = ( -C1, C14, -1.0) V76 = ( -C1, -C14, 1.0) V77 = ( -C1, -C14, -1.0) V78 = ( 0.5, C6, C13) V79 = ( 0.5, C6, -C13) V80 = ( 0.5, -C6, C13) V81 = ( 0.5, -C6, -C13) V82 = (-0.5, C6, C13) V83 = (-0.5, C6, -C13) V84 = (-0.5, -C6, C13) V85 = (-0.5, -C6, -C13) V86 = ( C13, 0.5, C6) V87 = ( C13, 0.5, -C6) V88 = ( C13, -0.5, C6) V89 = ( C13, -0.5, -C6) V90 = (-C13, 0.5, C6) V91 = (-C13, 0.5, -C6) V92 = (-C13, -0.5, C6) V93 = (-C13, -0.5, -C6) V94 = ( C6, C13, 0.5) V95 = ( C6, C13, -0.5) V96 = ( C6, -C13, 0.5) V97 = ( C6, -C13, -0.5) V98 = ( -C6, C13, 0.5) V99 = ( -C6, C13, -0.5) V100 = ( -C6, -C13, 0.5) V101 = ( -C6, -C13, -0.5) V102 = ( C0, C5, C12) V103 = ( C0, C5, -C12) V104 = ( C0, -C5, C12) V105 = ( C0, -C5, -C12) V106 = ( -C0, C5, C12) V107 = ( -C0, C5, -C12) V108 = ( -C0, -C5, C12) V109 = ( -C0, -C5, -C12) V110 = ( C12, C0, C5) V111 = ( C12, C0, -C5) V112 = ( C12, -C0, C5) V113 = ( C12, -C0, -C5) V114 = (-C12, C0, C5) V115 = (-C12, C0, -C5) V116 = (-C12, -C0, C5) V117 = (-C12, -C0, -C5) V118 = ( C5, C12, C0) V119 = ( C5, C12, -C0) V120 = ( C5, -C12, C0) V121 = ( C5, -C12, -C0) V122 = ( -C5, C12, C0) V123 = ( -C5, C12, -C0) V124 = ( -C5, -C12, C0) V125 = ( -C5, -C12, -C0) V126 = ( C4, C3, C11) V127 = ( C4, C3, -C11) V128 = ( C4, -C3, C11) V129 = ( C4, -C3, -C11) V130 = ( -C4, C3, C11) V131 = ( -C4, C3, -C11) V132 = ( -C4, -C3, C11) V133 = ( -C4, -C3, -C11) V134 = ( C11, C4, C3) V135 = ( C11, C4, -C3) V136 = ( C11, -C4, C3) V137 = ( C11, -C4, -C3) V138 = (-C11, C4, C3) V139 = (-C11, C4, -C3) V140 = (-C11, -C4, C3) V141 = (-C11, -C4, -C3) V142 = ( C3, C11, C4) V143 = ( C3, C11, -C4) V144 = ( C3, -C11, C4) V145 = ( C3, -C11, -C4) V146 = ( -C3, C11, C4) V147 = ( -C3, C11, -C4) V148 = ( -C3, -C11, C4) V149 = ( -C3, -C11, -C4) V150 = ( C1, C9, C10) V151 = ( C1, C9, -C10) V152 = ( C1, -C9, C10) V153 = ( C1, -C9, -C10) V154 = ( -C1, C9, C10) V155 = ( -C1, C9, -C10) V156 = ( -C1, -C9, C10) V157 = ( -C1, -C9, -C10) V158 = ( C10, C1, C9) V159 = ( C10, C1, -C9) V160 = ( C10, -C1, C9) V161 = ( C10, -C1, -C9) V162 = (-C10, C1, C9) V163 = (-C10, C1, -C9) V164 = (-C10, -C1, C9) V165 = (-C10, -C1, -C9) V166 = ( C9, C10, C1) V167 = ( C9, C10, -C1) V168 = ( C9, -C10, C1) V169 = ( C9, -C10, -C1) V170 = ( -C9, C10, C1) V171 = ( -C9, C10, -C1) V172 = ( -C9, -C10, C1) V173 = ( -C9, -C10, -C1) V174 = ( C8, C8, C8) V175 = ( C8, C8, -C8) V176 = ( C8, -C8, C8) V177 = ( C8, -C8, -C8) V178 = ( -C8, C8, C8) V179 = ( -C8, C8, -C8) V180 = ( -C8, -C8, C8) V181 = ( -C8, -C8, -C8) Faces: { 42, 6, 0, 8 } { 42, 56, 104, 128 } { 42, 160, 112, 88 } { 42, 86, 110, 158 } { 42, 126, 102, 54 } { 43, 9, 1, 7 } { 43, 55, 103, 127 } { 43, 159, 111, 87 } { 43, 89, 113, 161 } { 43, 129, 105, 57 } { 44, 12, 0, 10 } { 44, 58, 106, 130 } { 44, 162, 114, 90 } { 44, 92, 116, 164 } { 44, 132, 108, 60 } { 45, 11, 1, 13 } { 45, 61, 109, 133 } { 45, 165, 117, 93 } { 45, 91, 115, 163 } { 45, 131, 107, 59 } { 46, 14, 2, 15 } { 46, 63, 111, 135 } { 46, 167, 119, 95 } { 46, 94, 118, 166 } { 46, 134, 110, 62 } { 47, 17, 2, 16 } { 47, 64, 112, 136 } { 47, 168, 120, 96 } { 47, 97, 121, 169 } { 47, 137, 113, 65 } { 48, 19, 3, 18 } { 48, 66, 114, 138 } { 48, 170, 122, 98 } { 48, 99, 123, 171 } { 48, 139, 115, 67 } { 49, 20, 3, 21 } { 49, 69, 117, 141 } { 49, 173, 125, 101 } { 49, 100, 124, 172 } { 49, 140, 116, 68 } { 50, 22, 4, 26 } { 50, 74, 122, 146 } { 50, 154, 106, 82 } { 50, 78, 102, 150 } { 50, 142, 118, 70 } { 51, 27, 4, 23 } { 51, 71, 119, 143 } { 51, 151, 103, 79 } { 51, 83, 107, 155 } { 51, 147, 123, 75 } { 52, 28, 5, 24 } { 52, 72, 120, 144 } { 52, 152, 104, 80 } { 52, 84, 108, 156 } { 52, 148, 124, 76 } { 53, 25, 5, 29 } { 53, 77, 125, 149 } { 53, 157, 109, 85 } { 53, 81, 105, 153 } { 53, 145, 121, 73 } { 42, 8, 32, 56 } { 42, 128, 176, 160 } { 42, 88, 34, 86 } { 42, 158, 174, 126 } { 42, 54, 30, 6 } { 43, 7, 31, 55 } { 43, 127, 175, 159 } { 43, 87, 35, 89 } { 43, 161, 177, 129 } { 43, 57, 33, 9 } { 44, 10, 30, 58 } { 44, 130, 178, 162 } { 44, 90, 36, 92 } { 44, 164, 180, 132 } { 44, 60, 32, 12 } { 45, 13, 33, 61 } { 45, 133, 181, 165 } { 45, 93, 37, 91 } { 45, 163, 179, 131 } { 45, 59, 31, 11 } { 46, 15, 35, 63 } { 46, 135, 175, 167 } { 46, 95, 38, 94 } { 46, 166, 174, 134 } { 46, 62, 34, 14 } { 47, 16, 34, 64 } { 47, 136, 176, 168 } { 47, 96, 39, 97 } { 47, 169, 177, 137 } { 47, 65, 35, 17 } { 48, 18, 36, 66 } { 48, 138, 178, 170 } { 48, 98, 40, 99 } { 48, 171, 179, 139 } { 48, 67, 37, 19 } { 49, 21, 37, 69 } { 49, 141, 181, 173 } { 49, 101, 41, 100 } { 49, 172, 180, 140 } { 49, 68, 36, 20 } { 50, 26, 40, 74 } { 50, 146, 178, 154 } { 50, 82, 30, 78 } { 50, 150, 174, 142 } { 50, 70, 38, 22 } { 51, 23, 38, 71 } { 51, 143, 175, 151 } { 51, 79, 31, 83 } { 51, 155, 179, 147 } { 51, 75, 40, 27 } { 52, 24, 39, 72 } { 52, 144, 176, 152 } { 52, 80, 32, 84 } { 52, 156, 180, 148 } { 52, 76, 41, 28 } { 53, 29, 41, 77 } { 53, 149, 181, 157 } { 53, 85, 33, 81 } { 53, 153, 177, 145 } { 53, 73, 39, 25 } { 30, 10, 0, 6 } { 30, 54, 102, 78 } { 30, 82, 106, 58 } { 31, 7, 1, 11 } { 31, 59, 107, 83 } { 31, 79, 103, 55 } { 32, 8, 0, 12 } { 32, 60, 108, 84 } { 32, 80, 104, 56 } { 33, 13, 1, 9 } { 33, 57, 105, 81 } { 33, 85, 109, 61 } { 34, 16, 2, 14 } { 34, 62, 110, 86 } { 34, 88, 112, 64 } { 35, 15, 2, 17 } { 35, 65, 113, 89 } { 35, 87, 111, 63 } { 36, 18, 3, 20 } { 36, 68, 116, 92 } { 36, 90, 114, 66 } { 37, 21, 3, 19 } { 37, 67, 115, 91 } { 37, 93, 117, 69 } { 38, 23, 4, 22 } { 38, 70, 118, 94 } { 38, 95, 119, 71 } { 39, 24, 5, 25 } { 39, 73, 121, 97 } { 39, 96, 120, 72 } { 40, 26, 4, 27 } { 40, 75, 123, 99 } { 40, 98, 122, 74 } { 41, 29, 5, 28 } { 41, 76, 124, 100 } { 41, 101, 125, 77 } { 174, 150, 102, 126 } { 174, 158, 110, 134 } { 174, 166, 118, 142 } { 175, 127, 103, 151 } { 175, 143, 119, 167 } { 175, 135, 111, 159 } { 176, 128, 104, 152 } { 176, 144, 120, 168 } { 176, 136, 112, 160 } { 177, 153, 105, 129 } { 177, 161, 113, 137 } { 177, 169, 121, 145 } { 178, 130, 106, 154 } { 178, 146, 122, 170 } { 178, 138, 114, 162 } { 179, 155, 107, 131 } { 179, 163, 115, 139 } { 179, 171, 123, 147 } { 180, 156, 108, 132 } { 180, 164, 116, 140 } { 180, 172, 124, 148 } { 181, 133, 109, 157 } { 181, 149, 125, 173 } { 181, 141, 117, 165 }