I52c_3 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( ( 5 - sqrt(5)) / 10 ), approx. 0.525731112119 permutations of ( ±1, 0, 0 ) * R even permutations of ( ±(sqrt(5) + 1) / 4, ±(sqrt(5) - 1) / 4, ±1 / 2 ) * R B01: 0.52573111211913360603 0.00000000000000000000 0.00000000000000000000 B02: -0.52573111211913360603 0.00000000000000000000 0.00000000000000000000 B03: 0.00000000000000000000 0.52573111211913360603 0.00000000000000000000 B04: 0.00000000000000000000 -0.52573111211913360603 0.00000000000000000000 B05: 0.00000000000000000000 0.00000000000000000000 0.52573111211913360603 B06: 0.00000000000000000000 0.00000000000000000000 -0.52573111211913360603 B07: 0.42532540417601996609 0.16245984811645316308 0.26286555605956680301 B08: 0.42532540417601996609 -0.16245984811645316308 0.26286555605956680301 B09: 0.42532540417601996609 0.16245984811645316308 -0.26286555605956680301 B10: 0.42532540417601996609 -0.16245984811645316308 -0.26286555605956680301 B11: -0.42532540417601996609 0.16245984811645316308 0.26286555605956680301 B12: -0.42532540417601996609 -0.16245984811645316308 0.26286555605956680301 B13: -0.42532540417601996609 0.16245984811645316308 -0.26286555605956680301 B14: -0.42532540417601996609 -0.16245984811645316308 -0.26286555605956680301 B15: 0.26286555605956680301 0.42532540417601996609 0.16245984811645316308 B16: 0.26286555605956680301 0.42532540417601996609 -0.16245984811645316308 B17: -0.26286555605956680301 0.42532540417601996609 0.16245984811645316308 B18: -0.26286555605956680301 0.42532540417601996609 -0.16245984811645316308 B19: 0.26286555605956680301 -0.42532540417601996609 0.16245984811645316308 B20: 0.26286555605956680301 -0.42532540417601996609 -0.16245984811645316308 B21: -0.26286555605956680301 -0.42532540417601996609 0.16245984811645316308 B22: -0.26286555605956680301 -0.42532540417601996609 -0.16245984811645316308 B23: 0.16245984811645316308 0.26286555605956680301 0.42532540417601996609 B24: -0.16245984811645316308 0.26286555605956680301 0.42532540417601996609 B25: 0.16245984811645316308 -0.26286555605956680301 0.42532540417601996609 B26: -0.16245984811645316308 -0.26286555605956680301 0.42532540417601996609 B27: 0.16245984811645316308 0.26286555605956680301 -0.42532540417601996609 B28: -0.16245984811645316308 0.26286555605956680301 -0.42532540417601996609 B29: 0.16245984811645316308 -0.26286555605956680301 -0.42532540417601996609 B30: -0.16245984811645316308 -0.26286555605956680301 -0.42532540417601996609 Face Cycles Covering Faces A01 B29 A06 B10 A12 B09 A08 B27 A02 B06 A01 B28 A05 B27 A03 B16 A12 B03 A11 B18 A01 B19 A11 B08 A08 B01 A07 B10 A09 B20 A01 B17 A09 B03 A10 B15 A03 B23 A06 B24 A01 B05 A02 B23 A07 B07 A10 B08 A05 B25 A02 B16 A09 B09 A05 B01 A06 B07 A11 B15 A02 B26 A08 B25 A04 B19 A10 B04 A09 B21 A02 B22 A11 B04 A12 B20 A04 B29 A07 B30 A03 B26 A05 B12 A09 B11 A07 B24 A04 B05 A03 B22 A10 B14 A07 B02 A08 B12 A12 B21 A03 B06 A04 B28 A08 B13 A11 B14 A06 B30 A04 B17 A12 B11 A06 B02 A05 B13 A10 B18 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( (15 - sqrt(5)) / 10 ), approx. 1.129775730953 Covering face angles arccos( (31 + 5 sqrt(5)) / 44 ), approx. 16.535397104596 degrees arccos( ( 4 + sqrt(5)) / 11 ), approx. 55.464602895404 degrees Central face angles arccos( (4 + sqrt(5)) / 11 ), approx. 55.464602895404 degrees arccos( -(4 + sqrt(5)) / 11 ), approx. 124.535397104596 degrees Dihedral angle arccos( (5 - sqrt(5)) / 10 ), approx. 73.954942864664 degrees