I52c_4 Vertex Coordinates Class A radius: 1.0 even permutations of ( ±sqrt( (5 + sqrt(5)) / 10 ), ±sqrt( (5 - sqrt(5)) / 10 ), 0 ) A01: 0.85065080835203993218 0.52573111211913360603 0.00000000000000000000 A02: 0.85065080835203993218 -0.52573111211913360603 0.00000000000000000000 A03: -0.85065080835203993218 0.52573111211913360603 0.00000000000000000000 A04: -0.85065080835203993218 -0.52573111211913360603 0.00000000000000000000 A05: 0.00000000000000000000 0.85065080835203993218 0.52573111211913360603 A06: 0.00000000000000000000 0.85065080835203993218 -0.52573111211913360603 A07: 0.00000000000000000000 -0.85065080835203993218 0.52573111211913360603 A08: 0.00000000000000000000 -0.85065080835203993218 -0.52573111211913360603 A09: 0.52573111211913360603 0.00000000000000000000 0.85065080835203993218 A10: -0.52573111211913360603 0.00000000000000000000 0.85065080835203993218 A11: 0.52573111211913360603 0.00000000000000000000 -0.85065080835203993218 A12: -0.52573111211913360603 0.00000000000000000000 -0.85065080835203993218 Class B radius R: sqrt( (25 - 11 sqrt(5)) / 10 ), approx. 0.200811415886 permutations of ( ±1, 0, 0 ) * R even permutations of ( ±(sqrt(5) + 1) / 4, ±(sqrt(5) - 1) / 4, ±1 / 2 ) * R B01: 0.20081141588622727987 0.00000000000000000000 0.00000000000000000000 B02: -0.20081141588622727987 0.00000000000000000000 0.00000000000000000000 B03: 0.00000000000000000000 0.20081141588622727987 0.00000000000000000000 B04: 0.00000000000000000000 -0.20081141588622727987 0.00000000000000000000 B05: 0.00000000000000000000 0.00000000000000000000 0.20081141588622727987 B06: 0.00000000000000000000 0.00000000000000000000 -0.20081141588622727987 B07: 0.16245984811645316308 0.06205414017333952314 0.10040570794311363993 B08: 0.16245984811645316308 -0.06205414017333952314 0.10040570794311363993 B09: 0.16245984811645316308 0.06205414017333952314 -0.10040570794311363993 B10: 0.16245984811645316308 -0.06205414017333952314 -0.10040570794311363993 B11: -0.16245984811645316308 0.06205414017333952314 0.10040570794311363993 B12: -0.16245984811645316308 -0.06205414017333952314 0.10040570794311363993 B13: -0.16245984811645316308 0.06205414017333952314 -0.10040570794311363993 B14: -0.16245984811645316308 -0.06205414017333952314 -0.10040570794311363993 B15: 0.10040570794311363993 0.16245984811645316308 0.06205414017333952314 B16: 0.10040570794311363993 0.16245984811645316308 -0.06205414017333952314 B17: -0.10040570794311363993 0.16245984811645316308 0.06205414017333952314 B18: -0.10040570794311363993 0.16245984811645316308 -0.06205414017333952314 B19: 0.10040570794311363993 -0.16245984811645316308 0.06205414017333952314 B20: 0.10040570794311363993 -0.16245984811645316308 -0.06205414017333952314 B21: -0.10040570794311363993 -0.16245984811645316308 0.06205414017333952314 B22: -0.10040570794311363993 -0.16245984811645316308 -0.06205414017333952314 B23: 0.06205414017333952314 0.10040570794311363993 0.16245984811645316308 B24: -0.06205414017333952314 0.10040570794311363993 0.16245984811645316308 B25: 0.06205414017333952314 -0.10040570794311363993 0.16245984811645316308 B26: -0.06205414017333952314 -0.10040570794311363993 0.16245984811645316308 B27: 0.06205414017333952314 0.10040570794311363993 -0.16245984811645316308 B28: -0.06205414017333952314 0.10040570794311363993 -0.16245984811645316308 B29: 0.06205414017333952314 -0.10040570794311363993 -0.16245984811645316308 B30: -0.06205414017333952314 -0.10040570794311363993 -0.16245984811645316308 Face Cycles Covering Faces A01 B24 A07 B23 A03 B05 A01 B18 A10 B03 A12 B17 A01 B25 A08 B08 A10 B19 A01 B06 A03 B27 A08 B28 A01 B20 A12 B10 A07 B29 A02 B30 A06 B29 A04 B06 A02 B27 A05 B09 A12 B16 A02 B21 A12 B04 A10 B22 A02 B15 A10 B07 A06 B23 A02 B05 A04 B25 A05 B26 A03 B15 A11 B03 A09 B16 A03 B30 A07 B14 A11 B22 A03 B21 A09 B12 A08 B26 A04 B24 A06 B11 A09 B17 A04 B20 A09 B04 A11 B19 A04 B18 A11 B13 A05 B28 A05 B08 A11 B07 A07 B01 A05 B02 A07 B11 A12 B12 A06 B14 A10 B13 A08 B02 A06 B01 A08 B09 A09 B10 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( (35 - 11 sqrt(5)) / 10 ), approx. 1.019963344807 Covering face angles arccos( (28 + 15 sqrt(5)) / 62 ), approx. 6.976010257987 degrees arccos( ( 8 - 9 sqrt(5)) / 31 ), approx. 113.023989742013 degrees Central face angles arccos( (4 + 11 sqrt(5)) / 31 ), approx. 22.709256184451 degrees arccos( -(4 + 11 sqrt(5)) / 31 ), approx. 157.290743815549 degrees Dihedral angle arccos( sqrt( (5 - sqrt(5)) / 30 ) ), approx. 72.330192892948 degrees