Biscribed Propello Pentakis Dodecahedron with radius = 1 C0 = 0.00393177170746563198422206116439 C1 = 0.00847158681379514352858091173607 C2 = 0.00853133750593534837888969102988 C3 = 0.00950148129534352264540045554952 C4 = 0.178185765113624528435969850863 C5 = 0.18474340644363892591889412659548 C6 = 0.191989759167724679887629559156 C7 = 0.198450721847004894725259179780 C8 = 0.268435255519518030910068165080 C9 = 0.276906842333313174438649076816 C10 = 0.277995837272189083491413033616 C11 = 0.286527174778124431870302724646 C12 = 0.296841961771185104540861021563 C13 = 0.301069045904855624796485358590 C14 = 0.302114618319349907613631038826 C15 = 0.307392697637039260797016641554 C16 = 0.307430786163540226036601562582 C17 = 0.310570527200199147441885814139 C18 = 0.312628426226610086074800783003 C19 = 0.316932267458883748682002018132 C20 = 0.356822089773089931941969843046 = (sqrt(15) - sqrt(3)) / 6 C21 = 0.491071720942024373615832448553 C22 = 0.493501689493243342871726591381 C23 = 0.5064454406213615712654284095046 C24 = 0.508875409172580540521322552333 C25 = 0.525731112119133606025669084848 = sqrt(10 * (5 - sqrt(5))) / 10 C26 = 0.574837799043374188032274055179 C27 = 0.575827953156557291707084806634 C28 = 0.577350269189625764509148780502 = sqrt(3) / 3 C29 = 0.588641793097474339483933763472 C30 = 0.589535268559923260513449859818 C31 = 0.632788089056347881307152496257 C32 = 0.641796472605111470332040809399 C33 = 0.746965793435953072656694099480 C34 = 0.751921331756736698058042289070 C35 = 0.755437380249748216185275011216 C36 = 0.760452669262672046436931980099 C37 = 0.766827558211098867919903614334995454 C38 = 0.774278675003562186432343986414 C39 = 0.804072216693442490313612405520 C40 = 0.8080039884009081222978344666846 C41 = 0.809944455077436165317807910922 C42 = 0.813876226784901797302029972087 C43 = 0.850650808352039932181540497063 = sqrt(10 * (5 + sqrt(5))) / 10 C44 = 0.934172358962715696451118623548 = (sqrt(3) + sqrt(15)) / 6 C45 = 0.938638434376296574872901830962 C46 = 0.940180786693387142104169137811 C47 = 0.9439110909244613779456718482252 C48 = 0.945416515282957967381953279260 C49 = 0.999947130114604914137155000886 V0 = ( C3, -C0, C49) V1 = ( C3, C0, -C49) V2 = ( -C3, C0, C49) V3 = ( -C3, -C0, -C49) V4 = ( C49, -C3, C0) V5 = ( C49, C3, -C0) V6 = (-C49, C3, C0) V7 = (-C49, -C3, -C0) V8 = ( C0, -C49, C3) V9 = ( C0, C49, -C3) V10 = ( -C0, C49, C3) V11 = ( -C0, -C49, -C3) V12 = ( C8, C5, C48) V13 = ( C8, -C5, -C48) V14 = ( -C8, -C5, C48) V15 = ( -C8, C5, -C48) V16 = ( C48, C8, C5) V17 = ( C48, -C8, -C5) V18 = (-C48, -C8, C5) V19 = (-C48, C8, -C5) V20 = ( C5, C48, C8) V21 = ( C5, -C48, -C8) V22 = ( -C5, -C48, C8) V23 = ( -C5, C48, -C8) V24 = ( 0.0, C20, C44) V25 = ( 0.0, C20, -C44) V26 = ( 0.0, -C20, C44) V27 = ( 0.0, -C20, -C44) V28 = ( C44, 0.0, C20) V29 = ( C44, 0.0, -C20) V30 = (-C44, 0.0, C20) V31 = (-C44, 0.0, -C20) V32 = ( C20, C44, 0.0) V33 = ( C20, -C44, 0.0) V34 = (-C20, C44, 0.0) V35 = (-C20, -C44, 0.0) V36 = ( C10, -C4, C47) V37 = ( C10, C4, -C47) V38 = (-C10, C4, C47) V39 = (-C10, -C4, -C47) V40 = ( C47, -C10, C4) V41 = ( C47, C10, -C4) V42 = (-C47, C10, C4) V43 = (-C47, -C10, -C4) V44 = ( C4, -C47, C10) V45 = ( C4, C47, -C10) V46 = ( -C4, C47, C10) V47 = ( -C4, -C47, -C10) V48 = ( C9, -C7, C46) V49 = ( C9, C7, -C46) V50 = ( -C9, C7, C46) V51 = ( -C9, -C7, -C46) V52 = ( C46, -C9, C7) V53 = ( C46, C9, -C7) V54 = (-C46, C9, C7) V55 = (-C46, -C9, -C7) V56 = ( C7, -C46, C9) V57 = ( C7, C46, -C9) V58 = ( -C7, C46, C9) V59 = ( -C7, -C46, -C9) V60 = ( C11, C6, C45) V61 = ( C11, -C6, -C45) V62 = (-C11, -C6, C45) V63 = (-C11, C6, -C45) V64 = ( C45, C11, C6) V65 = ( C45, -C11, -C6) V66 = (-C45, -C11, C6) V67 = (-C45, C11, -C6) V68 = ( C6, C45, C11) V69 = ( C6, -C45, -C11) V70 = ( -C6, -C45, C11) V71 = ( -C6, C45, -C11) V72 = ( C17, C21, C42) V73 = ( C17, -C21, -C42) V74 = (-C17, -C21, C42) V75 = (-C17, C21, -C42) V76 = ( C42, C17, C21) V77 = ( C42, -C17, -C21) V78 = (-C42, -C17, C21) V79 = (-C42, C17, -C21) V80 = ( C21, C42, C17) V81 = ( C21, -C42, -C17) V82 = (-C21, -C42, C17) V83 = (-C21, C42, -C17) V84 = ( C25, 0.0, C43) V85 = ( C25, 0.0, -C43) V86 = (-C25, 0.0, C43) V87 = (-C25, 0.0, -C43) V88 = ( C43, C25, 0.0) V89 = ( C43, -C25, 0.0) V90 = (-C43, C25, 0.0) V91 = (-C43, -C25, 0.0) V92 = ( 0.0, C43, C25) V93 = ( 0.0, C43, -C25) V94 = ( 0.0, -C43, C25) V95 = ( 0.0, -C43, -C25) V96 = ( C26, -C14, C36) V97 = ( C26, C14, -C36) V98 = (-C26, C14, C36) V99 = (-C26, -C14, -C36) V100 = ( C36, -C26, C14) V101 = ( C36, C26, -C14) V102 = (-C36, C26, C14) V103 = (-C36, -C26, -C14) V104 = ( C14, -C36, C26) V105 = ( C14, C36, -C26) V106 = (-C14, C36, C26) V107 = (-C14, -C36, -C26) V108 = ( C19, -C22, C41) V109 = ( C19, C22, -C41) V110 = (-C19, C22, C41) V111 = (-C19, -C22, -C41) V112 = ( C41, -C19, C22) V113 = ( C41, C19, -C22) V114 = (-C41, C19, C22) V115 = (-C41, -C19, -C22) V116 = ( C22, -C41, C19) V117 = ( C22, C41, -C19) V118 = (-C22, C41, C19) V119 = (-C22, -C41, -C19) V120 = ( C13, -C23, C40) V121 = ( C13, C23, -C40) V122 = (-C13, C23, C40) V123 = (-C13, -C23, -C40) V124 = ( C40, -C13, C23) V125 = ( C40, C13, -C23) V126 = (-C40, C13, C23) V127 = (-C40, -C13, -C23) V128 = ( C23, -C40, C13) V129 = ( C23, C40, -C13) V130 = (-C23, C40, C13) V131 = (-C23, -C40, -C13) V132 = ( C27, C18, C35) V133 = ( C27, -C18, -C35) V134 = (-C27, -C18, C35) V135 = (-C27, C18, -C35) V136 = ( C35, C27, C18) V137 = ( C35, -C27, -C18) V138 = (-C35, -C27, C18) V139 = (-C35, C27, -C18) V140 = ( C18, C35, C27) V141 = ( C18, -C35, -C27) V142 = (-C18, -C35, C27) V143 = (-C18, C35, -C27) V144 = ( C1, C31, C38) V145 = ( C1, -C31, -C38) V146 = ( -C1, -C31, C38) V147 = ( -C1, C31, -C38) V148 = ( C38, C1, C31) V149 = ( C38, -C1, -C31) V150 = (-C38, -C1, C31) V151 = (-C38, C1, -C31) V152 = ( C31, C38, C1) V153 = ( C31, -C38, -C1) V154 = (-C31, -C38, C1) V155 = (-C31, C38, -C1) V156 = ( C16, C24, C39) V157 = ( C16, -C24, -C39) V158 = (-C16, -C24, C39) V159 = (-C16, C24, -C39) V160 = ( C39, C16, C24) V161 = ( C39, -C16, -C24) V162 = (-C39, -C16, C24) V163 = (-C39, C16, -C24) V164 = ( C24, C39, C16) V165 = ( C24, -C39, -C16) V166 = (-C24, -C39, C16) V167 = (-C24, C39, -C16) V168 = ( C29, C12, C34) V169 = ( C29, -C12, -C34) V170 = (-C29, -C12, C34) V171 = (-C29, C12, -C34) V172 = ( C34, C29, C12) V173 = ( C34, -C29, -C12) V174 = (-C34, -C29, C12) V175 = (-C34, C29, -C12) V176 = ( C12, C34, C29) V177 = ( C12, -C34, -C29) V178 = (-C12, -C34, C29) V179 = (-C12, C34, -C29) V180 = ( C2, -C32, C37) V181 = ( C2, C32, -C37) V182 = ( -C2, C32, C37) V183 = ( -C2, -C32, -C37) V184 = ( C37, -C2, C32) V185 = ( C37, C2, -C32) V186 = (-C37, C2, C32) V187 = (-C37, -C2, -C32) V188 = ( C32, -C37, C2) V189 = ( C32, C37, -C2) V190 = (-C32, C37, C2) V191 = (-C32, -C37, -C2) V192 = ( C30, -C15, C33) V193 = ( C30, C15, -C33) V194 = (-C30, C15, C33) V195 = (-C30, -C15, -C33) V196 = ( C33, -C30, C15) V197 = ( C33, C30, -C15) V198 = (-C33, C30, C15) V199 = (-C33, -C30, -C15) V200 = ( C15, -C33, C30) V201 = ( C15, C33, -C30) V202 = (-C15, C33, C30) V203 = (-C15, -C33, -C30) V204 = ( C28, C28, C28) V205 = ( C28, C28, -C28) V206 = ( C28, -C28, C28) V207 = ( C28, -C28, -C28) V208 = (-C28, C28, C28) V209 = (-C28, C28, -C28) V210 = (-C28, -C28, C28) V211 = (-C28, -C28, -C28) Faces: { 0, 2, 14, 26 } { 1, 3, 15, 25 } { 2, 0, 12, 24 } { 3, 1, 13, 27 } { 4, 5, 16, 28 } { 5, 4, 17, 29 } { 6, 7, 18, 30 } { 7, 6, 19, 31 } { 8, 11, 21, 33 } { 9, 10, 20, 32 } { 10, 9, 23, 34 } { 11, 8, 22, 35 } { 108, 120, 200, 206 } { 109, 121, 201, 205 } { 110, 122, 202, 208 } { 111, 123, 203, 211 } { 112, 124, 192, 206 } { 113, 125, 193, 205 } { 114, 126, 194, 208 } { 115, 127, 195, 211 } { 116, 128, 196, 206 } { 117, 129, 197, 205 } { 118, 130, 198, 208 } { 119, 131, 199, 211 } { 120, 108, 48, 26 } { 121, 109, 49, 25 } { 122, 110, 50, 24 } { 123, 111, 51, 27 } { 124, 112, 52, 28 } { 125, 113, 53, 29 } { 126, 114, 54, 30 } { 127, 115, 55, 31 } { 128, 116, 56, 33 } { 129, 117, 57, 32 } { 130, 118, 58, 34 } { 131, 119, 59, 35 } { 132, 204, 156, 72 } { 133, 207, 157, 73 } { 134, 210, 158, 74 } { 135, 209, 159, 75 } { 136, 204, 160, 76 } { 137, 207, 161, 77 } { 138, 210, 162, 78 } { 139, 209, 163, 79 } { 140, 204, 164, 80 } { 141, 207, 165, 81 } { 142, 210, 166, 82 } { 143, 209, 167, 83 } { 144, 24, 72, 156 } { 145, 27, 73, 157 } { 146, 26, 74, 158 } { 147, 25, 75, 159 } { 148, 28, 76, 160 } { 149, 29, 77, 161 } { 150, 30, 78, 162 } { 151, 31, 79, 163 } { 152, 32, 80, 164 } { 153, 33, 81, 165 } { 154, 35, 82, 166 } { 155, 34, 83, 167 } { 0, 26, 48, 36 } { 1, 25, 49, 37 } { 2, 24, 50, 38 } { 3, 27, 51, 39 } { 4, 28, 52, 40 } { 5, 29, 53, 41 } { 6, 30, 54, 42 } { 7, 31, 55, 43 } { 8, 33, 56, 44 } { 9, 32, 57, 45 } { 10, 34, 58, 46 } { 11, 35, 59, 47 } { 12, 60, 72, 24 } { 13, 61, 73, 27 } { 14, 62, 74, 26 } { 15, 63, 75, 25 } { 16, 64, 76, 28 } { 17, 65, 77, 29 } { 18, 66, 78, 30 } { 19, 67, 79, 31 } { 20, 68, 80, 32 } { 21, 69, 81, 33 } { 22, 70, 82, 35 } { 23, 71, 83, 34 } { 108, 206, 192, 96 } { 109, 205, 193, 97 } { 110, 208, 194, 98 } { 111, 211, 195, 99 } { 112, 206, 196, 100 } { 113, 205, 197, 101 } { 114, 208, 198, 102 } { 115, 211, 199, 103 } { 116, 206, 200, 104 } { 117, 205, 201, 105 } { 118, 208, 202, 106 } { 119, 211, 203, 107 } { 120, 26, 146, 180 } { 121, 25, 147, 181 } { 122, 24, 144, 182 } { 123, 27, 145, 183 } { 124, 28, 148, 184 } { 125, 29, 149, 185 } { 126, 30, 150, 186 } { 127, 31, 151, 187 } { 128, 33, 153, 188 } { 129, 32, 152, 189 } { 130, 34, 155, 190 } { 131, 35, 154, 191 } { 132, 168, 160, 204 } { 133, 169, 161, 207 } { 134, 170, 162, 210 } { 135, 171, 163, 209 } { 136, 172, 164, 204 } { 137, 173, 165, 207 } { 138, 174, 166, 210 } { 139, 175, 167, 209 } { 140, 176, 156, 204 } { 141, 177, 157, 207 } { 142, 178, 158, 210 } { 143, 179, 159, 209 } { 84, 36, 48, 96 } { 84, 96, 192, 184 } { 84, 184, 148, 168 } { 84, 168, 132, 60 } { 84, 60, 12, 36 } { 85, 37, 49, 97 } { 85, 97, 193, 185 } { 85, 185, 149, 169 } { 85, 169, 133, 61 } { 85, 61, 13, 37 } { 86, 38, 50, 98 } { 86, 98, 194, 186 } { 86, 186, 150, 170 } { 86, 170, 134, 62 } { 86, 62, 14, 38 } { 87, 39, 51, 99 } { 87, 99, 195, 187 } { 87, 187, 151, 171 } { 87, 171, 135, 63 } { 87, 63, 15, 39 } { 88, 41, 53, 101 } { 88, 101, 197, 189 } { 88, 189, 152, 172 } { 88, 172, 136, 64 } { 88, 64, 16, 41 } { 89, 40, 52, 100 } { 89, 100, 196, 188 } { 89, 188, 153, 173 } { 89, 173, 137, 65 } { 89, 65, 17, 40 } { 90, 42, 54, 102 } { 90, 102, 198, 190 } { 90, 190, 155, 175 } { 90, 175, 139, 67 } { 90, 67, 19, 42 } { 91, 43, 55, 103 } { 91, 103, 199, 191 } { 91, 191, 154, 174 } { 91, 174, 138, 66 } { 91, 66, 18, 43 } { 92, 46, 58, 106 } { 92, 106, 202, 182 } { 92, 182, 144, 176 } { 92, 176, 140, 68 } { 92, 68, 20, 46 } { 93, 45, 57, 105 } { 93, 105, 201, 181 } { 93, 181, 147, 179 } { 93, 179, 143, 71 } { 93, 71, 23, 45 } { 94, 44, 56, 104 } { 94, 104, 200, 180 } { 94, 180, 146, 178 } { 94, 178, 142, 70 } { 94, 70, 22, 44 } { 95, 47, 59, 107 } { 95, 107, 203, 183 } { 95, 183, 145, 177 } { 95, 177, 141, 69 } { 95, 69, 21, 47 } { 0, 36, 12 } { 1, 37, 13 } { 2, 38, 14 } { 3, 39, 15 } { 4, 40, 17 } { 5, 41, 16 } { 6, 42, 19 } { 7, 43, 18 } { 8, 44, 22 } { 9, 45, 23 } { 11, 47, 21 } { 10, 46, 20 } { 108, 96, 48 } { 109, 97, 49 } { 110, 98, 50 } { 111, 99, 51 } { 112, 100, 52 } { 113, 101, 53 } { 114, 102, 54 } { 115, 103, 55 } { 116, 104, 56 } { 117, 105, 57 } { 118, 106, 58 } { 119, 107, 59 } { 120, 180, 200 } { 121, 181, 201 } { 122, 182, 202 } { 123, 183, 203 } { 124, 184, 192 } { 125, 185, 193 } { 126, 186, 194 } { 127, 187, 195 } { 128, 188, 196 } { 129, 189, 197 } { 130, 190, 198 } { 131, 191, 199 } { 132, 72, 60 } { 133, 73, 61 } { 134, 74, 62 } { 135, 75, 63 } { 136, 76, 64 } { 137, 77, 65 } { 138, 78, 66 } { 139, 79, 67 } { 140, 80, 68 } { 141, 81, 69 } { 142, 82, 70 } { 143, 83, 71 } { 144, 156, 176 } { 145, 157, 177 } { 146, 158, 178 } { 147, 159, 179 } { 148, 160, 168 } { 149, 161, 169 } { 150, 162, 170 } { 151, 163, 171 } { 152, 164, 172 } { 153, 165, 173 } { 154, 166, 174 } { 155, 167, 175 }