I52c_1 Vertex Coordinates Class A radius R: sqrt( (25 - 11 sqrt(5)) / 2 ), approx. 0.449027976580 even permutations of ( ±sqrt( (5 + sqrt(5)) / 10 ), ±sqrt( (5 - sqrt(5)) / 10 ), 0 ) * R A01: 0.38196601125010515180 0.23606797749978969641 0.00000000000000000000 A02: 0.38196601125010515180 -0.23606797749978969641 0.00000000000000000000 A03: -0.38196601125010515180 0.23606797749978969641 0.00000000000000000000 A04: -0.38196601125010515180 -0.23606797749978969641 0.00000000000000000000 A05: 0.00000000000000000000 0.38196601125010515180 0.23606797749978969641 A06: 0.00000000000000000000 0.38196601125010515180 -0.23606797749978969641 A07: 0.00000000000000000000 -0.38196601125010515180 0.23606797749978969641 A08: 0.00000000000000000000 -0.38196601125010515180 -0.23606797749978969641 A09: 0.23606797749978969641 0.00000000000000000000 0.38196601125010515180 A10: -0.23606797749978969641 0.00000000000000000000 0.38196601125010515180 A11: 0.23606797749978969641 0.00000000000000000000 -0.38196601125010515180 A12: -0.23606797749978969641 0.00000000000000000000 -0.38196601125010515180 Class B radius: 1.0 permutations of ( ±1, 0, 0 ) even permutations of ( ±(sqrt(5) + 1) / 4, ±(sqrt(5) - 1) / 4, ±1 / 2 ) B01: 1.00000000000000000000 0.00000000000000000000 0.00000000000000000000 B02: -1.00000000000000000000 0.00000000000000000000 0.00000000000000000000 B03: 0.00000000000000000000 1.00000000000000000000 0.00000000000000000000 B04: 0.00000000000000000000 -1.00000000000000000000 0.00000000000000000000 B05: 0.00000000000000000000 0.00000000000000000000 1.00000000000000000000 B06: 0.00000000000000000000 0.00000000000000000000 -1.00000000000000000000 B07: 0.80901699437494742410 0.30901699437494742410 0.50000000000000000000 B08: 0.80901699437494742410 -0.30901699437494742410 0.50000000000000000000 B09: 0.80901699437494742410 0.30901699437494742410 -0.50000000000000000000 B10: 0.80901699437494742410 -0.30901699437494742410 -0.50000000000000000000 B11: -0.80901699437494742410 0.30901699437494742410 0.50000000000000000000 B12: -0.80901699437494742410 -0.30901699437494742410 0.50000000000000000000 B13: -0.80901699437494742410 0.30901699437494742410 -0.50000000000000000000 B14: -0.80901699437494742410 -0.30901699437494742410 -0.50000000000000000000 B15: 0.50000000000000000000 0.80901699437494742410 0.30901699437494742410 B16: 0.50000000000000000000 0.80901699437494742410 -0.30901699437494742410 B17: -0.50000000000000000000 0.80901699437494742410 0.30901699437494742410 B18: -0.50000000000000000000 0.80901699437494742410 -0.30901699437494742410 B19: 0.50000000000000000000 -0.80901699437494742410 0.30901699437494742410 B20: 0.50000000000000000000 -0.80901699437494742410 -0.30901699437494742410 B21: -0.50000000000000000000 -0.80901699437494742410 0.30901699437494742410 B22: -0.50000000000000000000 -0.80901699437494742410 -0.30901699437494742410 B23: 0.30901699437494742410 0.50000000000000000000 0.80901699437494742410 B24: -0.30901699437494742410 0.50000000000000000000 0.80901699437494742410 B25: 0.30901699437494742410 -0.50000000000000000000 0.80901699437494742410 B26: -0.30901699437494742410 -0.50000000000000000000 0.80901699437494742410 B27: 0.30901699437494742410 0.50000000000000000000 -0.80901699437494742410 B28: -0.30901699437494742410 0.50000000000000000000 -0.80901699437494742410 B29: 0.30901699437494742410 -0.50000000000000000000 -0.80901699437494742410 B30: -0.30901699437494742410 -0.50000000000000000000 -0.80901699437494742410 Face Cycles Covering Faces A01 B05 A02 B16 A09 B20 A01 B17 A09 B09 A05 B25 A01 B19 A11 B15 A02 B06 A01 B28 A05 B01 A06 B24 A01 B29 A06 B07 A11 B18 A02 B22 A11 B08 A08 B27 A02 B23 A07 B10 A09 B21 A02 B26 A08 B01 A07 B30 A03 B06 A04 B17 A12 B21 A03 B16 A12 B11 A06 B30 A03 B22 A10 B18 A04 B05 A03 B23 A06 B02 A05 B27 A03 B26 A05 B13 A10 B15 A04 B19 A10 B14 A07 B24 A04 B28 A08 B12 A12 B20 A04 B29 A07 B02 A08 B25 A05 B12 A09 B03 A10 B08 A06 B10 A12 B03 A11 B14 A07 B07 A10 B04 A09 B11 A08 B13 A11 B04 A12 B09 Central Faces A01 B05 A04 B06 A01 B17 A04 B20 A01 B18 A04 B19 A01 B24 A04 B29 A01 B25 A04 B28 A02 B05 A03 B06 A02 B15 A03 B22 A02 B16 A03 B21 A02 B23 A03 B30 A02 B26 A03 B27 A05 B01 A08 B02 A05 B08 A08 B13 A05 B09 A08 B12 A05 B25 A08 B28 A05 B26 A08 B27 A06 B01 A07 B02 A06 B07 A07 B14 A06 B10 A07 B11 A06 B23 A07 B30 A06 B24 A07 B29 A09 B03 A12 B04 A09 B09 A12 B12 A09 B10 A12 B11 A09 B16 A12 B21 A09 B17 A12 B20 A10 B03 A11 B04 A10 B07 A11 B14 A10 B08 A11 B13 A10 B15 A11 B22 A10 B18 A11 B19 Face Geometry Edge length (for unit outer radius) sqrt( (27 - 11 sqrt(5)) / 2 ), approx. 1.096187084284 Covering face angles arccos( ( 8 + 9 sqrt(5)) / 31 ), approx. 24.872561387241 degrees arccos( (28 - 15 sqrt(5)) / 62 ), approx. 95.127438612759 degrees Central face angles arccos( (-4 + 11 sqrt(5)) / 31 ), approx. 48.362828526752 degrees arccos( ( 4 - 11 sqrt(5)) / 31 ), approx. 131.637171473248 degrees Dihedral angle arccos( sqrt( (5 + sqrt(5)) / 30 ) ), approx. 60.585549013550 degrees