I32d_2 Vertex Coordinates Class A radius: 1.0 ( ±1 / sqrt(3), ±1 / sqrt(3), ±1 / sqrt(3) ) even permutations of ( ±(sqrt(5) + 1) / 2 sqrt(3), 0, ±(sqrt(5) - 1) / 2 sqrt(3) ) A01: 0.57735026918962576451 0.57735026918962576451 0.57735026918962576451 A02: 0.57735026918962576451 0.57735026918962576451 -0.57735026918962576451 A03: 0.57735026918962576451 -0.57735026918962576451 0.57735026918962576451 A04: 0.57735026918962576451 -0.57735026918962576451 -0.57735026918962576451 A05: -0.57735026918962576451 0.57735026918962576451 0.57735026918962576451 A06: -0.57735026918962576451 0.57735026918962576451 -0.57735026918962576451 A07: -0.57735026918962576451 -0.57735026918962576451 0.57735026918962576451 A08: -0.57735026918962576451 -0.57735026918962576451 -0.57735026918962576451 A09: 0.93417235896271569645 0.00000000000000000000 0.35682208977308993194 A10: 0.93417235896271569645 0.00000000000000000000 -0.35682208977308993194 A11: -0.93417235896271569645 0.00000000000000000000 0.35682208977308993194 A12: -0.93417235896271569645 0.00000000000000000000 -0.35682208977308993194 A13: 0.35682208977308993194 0.93417235896271569645 0.00000000000000000000 A14: -0.35682208977308993194 0.93417235896271569645 0.00000000000000000000 A15: 0.35682208977308993194 -0.93417235896271569645 0.00000000000000000000 A16: -0.35682208977308993194 -0.93417235896271569645 0.00000000000000000000 A17: 0.00000000000000000000 0.35682208977308993194 0.93417235896271569645 A18: 0.00000000000000000000 -0.35682208977308993194 0.93417235896271569645 A19: 0.00000000000000000000 0.35682208977308993194 -0.93417235896271569645 A20: 0.00000000000000000000 -0.35682208977308993194 -0.93417235896271569645 Class B radius R: (3 - sqrt(5)) / 2 sqrt(3), approx. 0.220528179417 permutations of ( ±1, 0, 0 ) * R even permutations of ( ±(sqrt(5) + 1) / 4, ±(sqrt(5) - 1) / 4, ±1 / 2 ) * R B01: 0.22052817941653583257 0.00000000000000000000 0.00000000000000000000 B02: -0.22052817941653583257 0.00000000000000000000 0.00000000000000000000 B03: 0.00000000000000000000 0.22052817941653583257 0.00000000000000000000 B04: 0.00000000000000000000 -0.22052817941653583257 0.00000000000000000000 B05: 0.00000000000000000000 0.00000000000000000000 0.22052817941653583257 B06: 0.00000000000000000000 0.00000000000000000000 -0.22052817941653583257 B07: 0.17841104488654496597 0.06814695517827704969 0.11026408970826791628 B08: 0.17841104488654496597 -0.06814695517827704969 0.11026408970826791628 B09: 0.17841104488654496597 0.06814695517827704969 -0.11026408970826791628 B10: 0.17841104488654496597 -0.06814695517827704969 -0.11026408970826791628 B11: -0.17841104488654496597 0.06814695517827704969 0.11026408970826791628 B12: -0.17841104488654496597 -0.06814695517827704969 0.11026408970826791628 B13: -0.17841104488654496597 0.06814695517827704969 -0.11026408970826791628 B14: -0.17841104488654496597 -0.06814695517827704969 -0.11026408970826791628 B15: 0.11026408970826791628 0.17841104488654496597 0.06814695517827704969 B16: 0.11026408970826791628 0.17841104488654496597 -0.06814695517827704969 B17: -0.11026408970826791628 0.17841104488654496597 0.06814695517827704969 B18: -0.11026408970826791628 0.17841104488654496597 -0.06814695517827704969 B19: 0.11026408970826791628 -0.17841104488654496597 0.06814695517827704969 B20: 0.11026408970826791628 -0.17841104488654496597 -0.06814695517827704969 B21: -0.11026408970826791628 -0.17841104488654496597 0.06814695517827704969 B22: -0.11026408970826791628 -0.17841104488654496597 -0.06814695517827704969 B23: 0.06814695517827704969 0.11026408970826791628 0.17841104488654496597 B24: -0.06814695517827704969 0.11026408970826791628 0.17841104488654496597 B25: 0.06814695517827704969 -0.11026408970826791628 0.17841104488654496597 B26: -0.06814695517827704969 -0.11026408970826791628 0.17841104488654496597 B27: 0.06814695517827704969 0.11026408970826791628 -0.17841104488654496597 B28: -0.06814695517827704969 0.11026408970826791628 -0.17841104488654496597 B29: 0.06814695517827704969 -0.11026408970826791628 -0.17841104488654496597 B30: -0.06814695517827704969 -0.11026408970826791628 -0.17841104488654496597 Face Cycles Covering Faces A01 B19 A20 B01 A18 B20 A02 B08 A16 B10 A01 B27 A12 B03 A10 B28 A05 B16 A20 B18 A01 B11 A16 B05 A14 B12 A03 B24 A12 B26 A02 B30 A11 B28 A04 B14 A14 B06 A16 B13 A02 B17 A18 B15 A06 B24 A09 B03 A11 B23 A03 B09 A14 B07 A04 B16 A17 B01 A19 B15 A03 B22 A19 B20 A07 B30 A10 B04 A12 B29 A04 B25 A11 B04 A09 B26 A08 B19 A17 B21 A05 B25 A10 B23 A07 B08 A13 B05 A15 B07 A05 B14 A15 B12 A06 B22 A18 B02 A20 B21 A06 B09 A15 B06 A13 B10 A08 B27 A09 B29 A07 B17 A19 B02 A17 B18 A08 B11 A13 B13 Central Faces A01 B10 A08 B11 A01 B18 A08 B19 A01 B26 A08 B27 A02 B08 A07 B13 A02 B17 A07 B20 A02 B23 A07 B30 A03 B09 A06 B12 A03 B15 A06 B22 A03 B24 A06 B29 A04 B07 A05 B14 A04 B16 A05 B21 A04 B25 A05 B28 A09 B03 A12 B04 A09 B24 A12 B29 A09 B26 A12 B27 A10 B03 A11 B04 A10 B23 A11 B30 A10 B25 A11 B28 A13 B05 A16 B06 A13 B08 A16 B13 A13 B10 A16 B11 A14 B05 A15 B06 A14 B07 A15 B14 A14 B09 A15 B12 A17 B01 A20 B02 A17 B16 A20 B21 A17 B18 A20 B19 A18 B01 A19 B02 A18 B15 A19 B22 A18 B17 A19 B20 Face Geometry Edge length (for unit outer radius) sqrt( (13 - 3 sqrt(5)) / 6 ), approx. 1.024027674390 Covering face angles arccos( (101 + 9 sqrt(5)) / 124 ), approx. 12.362828526752 degrees arccos( ( 4 - 11 sqrt(5)) / 31 ), approx. 131.637171473248 degrees Central face angles arccos( (8 + 9 sqrt(5)) / 31 ), approx. 24.872561387241 degrees arccos( -(8 + 9 sqrt(5)) / 31 ), approx. 155.127438612759 degrees Dihedral angle arccos( sqrt( (5 + sqrt(5)) / 30 ) ), approx. 60.585549013550 degrees