I22b_1 Vertex Coordinates Class A radius: 1.0 permutations of ( ±1, 0, 0 ) even permutations of ( ±(sqrt(5) + 1) / 4, ±(sqrt(5) - 1) / 4, ±1 / 2 ) A01: 1.00000000000000000000 0.00000000000000000000 0.00000000000000000000 A02: -1.00000000000000000000 0.00000000000000000000 0.00000000000000000000 A03: 0.00000000000000000000 1.00000000000000000000 0.00000000000000000000 A04: 0.00000000000000000000 -1.00000000000000000000 0.00000000000000000000 A05: 0.00000000000000000000 0.00000000000000000000 1.00000000000000000000 A06: 0.00000000000000000000 0.00000000000000000000 -1.00000000000000000000 A07: 0.80901699437494742410 0.30901699437494742410 0.50000000000000000000 A08: 0.80901699437494742410 -0.30901699437494742410 0.50000000000000000000 A09: 0.80901699437494742410 0.30901699437494742410 -0.50000000000000000000 A10: 0.80901699437494742410 -0.30901699437494742410 -0.50000000000000000000 A11: -0.80901699437494742410 0.30901699437494742410 0.50000000000000000000 A12: -0.80901699437494742410 -0.30901699437494742410 0.50000000000000000000 A13: -0.80901699437494742410 0.30901699437494742410 -0.50000000000000000000 A14: -0.80901699437494742410 -0.30901699437494742410 -0.50000000000000000000 A15: 0.50000000000000000000 0.80901699437494742410 0.30901699437494742410 A16: 0.50000000000000000000 0.80901699437494742410 -0.30901699437494742410 A17: -0.50000000000000000000 0.80901699437494742410 0.30901699437494742410 A18: -0.50000000000000000000 0.80901699437494742410 -0.30901699437494742410 A19: 0.50000000000000000000 -0.80901699437494742410 0.30901699437494742410 A20: 0.50000000000000000000 -0.80901699437494742410 -0.30901699437494742410 A21: -0.50000000000000000000 -0.80901699437494742410 0.30901699437494742410 A22: -0.50000000000000000000 -0.80901699437494742410 -0.30901699437494742410 A23: 0.30901699437494742410 0.50000000000000000000 0.80901699437494742410 A24: -0.30901699437494742410 0.50000000000000000000 0.80901699437494742410 A25: 0.30901699437494742410 -0.50000000000000000000 0.80901699437494742410 A26: -0.30901699437494742410 -0.50000000000000000000 0.80901699437494742410 A27: 0.30901699437494742410 0.50000000000000000000 -0.80901699437494742410 A28: -0.30901699437494742410 0.50000000000000000000 -0.80901699437494742410 A29: 0.30901699437494742410 -0.50000000000000000000 -0.80901699437494742410 A30: -0.30901699437494742410 -0.50000000000000000000 -0.80901699437494742410 Class B radius R: (3 - sqrt(5)) / 2, approx. 0.381966011250 permutations of ( ±1, 0, 0 ) * R even permutations of ( ±(sqrt(5) + 1) / 4, ±(sqrt(5) - 1) / 4, ±1 / 2 ) * R B01: 0.38196601125010515180 0.00000000000000000000 0.00000000000000000000 B02: -0.38196601125010515180 0.00000000000000000000 0.00000000000000000000 B03: 0.00000000000000000000 0.38196601125010515180 0.00000000000000000000 B04: 0.00000000000000000000 -0.38196601125010515180 0.00000000000000000000 B05: 0.00000000000000000000 0.00000000000000000000 0.38196601125010515180 B06: 0.00000000000000000000 0.00000000000000000000 -0.38196601125010515180 B07: 0.30901699437494742410 0.11803398874989484820 0.19098300562505257590 B08: 0.30901699437494742410 -0.11803398874989484820 0.19098300562505257590 B09: 0.30901699437494742410 0.11803398874989484820 -0.19098300562505257590 B10: 0.30901699437494742410 -0.11803398874989484820 -0.19098300562505257590 B11: -0.30901699437494742410 0.11803398874989484820 0.19098300562505257590 B12: -0.30901699437494742410 -0.11803398874989484820 0.19098300562505257590 B13: -0.30901699437494742410 0.11803398874989484820 -0.19098300562505257590 B14: -0.30901699437494742410 -0.11803398874989484820 -0.19098300562505257590 B15: 0.19098300562505257590 0.30901699437494742410 0.11803398874989484820 B16: 0.19098300562505257590 0.30901699437494742410 -0.11803398874989484820 B17: -0.19098300562505257590 0.30901699437494742410 0.11803398874989484820 B18: -0.19098300562505257590 0.30901699437494742410 -0.11803398874989484820 B19: 0.19098300562505257590 -0.30901699437494742410 0.11803398874989484820 B20: 0.19098300562505257590 -0.30901699437494742410 -0.11803398874989484820 B21: -0.19098300562505257590 -0.30901699437494742410 0.11803398874989484820 B22: -0.19098300562505257590 -0.30901699437494742410 -0.11803398874989484820 B23: 0.11803398874989484820 0.19098300562505257590 0.30901699437494742410 B24: -0.11803398874989484820 0.19098300562505257590 0.30901699437494742410 B25: 0.11803398874989484820 -0.19098300562505257590 0.30901699437494742410 B26: -0.11803398874989484820 -0.19098300562505257590 0.30901699437494742410 B27: 0.11803398874989484820 0.19098300562505257590 -0.30901699437494742410 B28: -0.11803398874989484820 0.19098300562505257590 -0.30901699437494742410 B29: 0.11803398874989484820 -0.19098300562505257590 -0.30901699437494742410 B30: -0.11803398874989484820 -0.19098300562505257590 -0.30901699437494742410 Face Cycles Covering Faces A01 B16 A28 B03 A24 B15 A01 B19 A26 B04 A30 B20 A02 B17 A23 B03 A27 B18 A02 B22 A29 B04 A25 B21 A03 B24 A12 B05 A08 B23 A03 B27 A10 B06 A14 B28 A04 B25 A07 B05 A11 B26 A04 B30 A13 B06 A09 B29 A05 B08 A20 B01 A16 B07 A05 B11 A18 B02 A22 B12 A06 B09 A15 B01 A19 B10 A06 B14 A21 B02 A17 B13 A07 B09 A29 B27 A18 B16 A08 B20 A22 B29 A27 B10 A09 B15 A17 B23 A25 B07 A10 B08 A23 B25 A21 B19 A11 B18 A16 B28 A30 B13 A12 B14 A28 B30 A20 B22 A13 B11 A26 B24 A15 B17 A14 B21 A19 B26 A24 B12 Central Faces A01 B15 A17 B02 A22 B20 A01 B16 A18 B02 A21 B19 A02 B21 A19 B01 A16 B18 A02 B22 A20 B01 A15 B17 A03 B23 A25 B04 A30 B28 A03 B24 A26 B04 A29 B27 A04 B29 A27 B03 A24 B26 A04 B30 A28 B03 A23 B25 A05 B07 A09 B06 A14 B12 A05 B08 A10 B06 A13 B11 A06 B13 A11 B05 A08 B10 A06 B14 A12 B05 A07 B09 A07 B25 A21 B14 A28 B16 A08 B20 A30 B13 A17 B23 A09 B15 A24 B12 A22 B29 A10 B27 A18 B11 A26 B19 A11 B26 A19 B10 A27 B18 A12 B22 A29 B09 A15 B24 A13 B17 A23 B08 A20 B30 A14 B21 A25 B07 A16 B28 Face Geometry Edge length (for unit outer radius) (sqrt(5) - 1) / sqrt(2), approx. 0.874032048898 Covering face angles arccos( (1 + 3 sqrt(5)) / 8 ), approx. 15.522487814070 degrees 2 Pi - arccos( (1 - 3 sqrt(5)) / 8 ), approx. 224.477512185930 degrees Central face angles arccos( (-1 + 3 sqrt(5)) / 8 ), approx. 44.477512185930 degrees 2 Pi - arccos( (-1 - 3 sqrt(5)) / 8 ), approx. 195.522487814070 degrees Dihedral angle arccos( 1 / 3 ), approx. 70.528779365509 degrees