I53b_2 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( (15 - 6 sqrt(5)) / 5 ), approx. 0.562777422255 ( ±1 / sqrt(3), ±1 / sqrt(3), ±1 / sqrt(3) ) * R even permutations of ( ±(sqrt(5) + 1) / 2 sqrt(3), 0, ±(sqrt(5) - 1) / 2 sqrt(3) ) * R B01: 0.32491969623290632616 0.32491969623290632616 0.32491969623290632616 B02: 0.32491969623290632616 0.32491969623290632616 -0.32491969623290632616 B03: 0.32491969623290632616 -0.32491969623290632616 0.32491969623290632616 B04: 0.32491969623290632616 -0.32491969623290632616 -0.32491969623290632616 B05: -0.32491969623290632616 0.32491969623290632616 0.32491969623290632616 B06: -0.32491969623290632616 0.32491969623290632616 -0.32491969623290632616 B07: -0.32491969623290632616 -0.32491969623290632616 0.32491969623290632616 B08: -0.32491969623290632616 -0.32491969623290632616 -0.32491969623290632616 B09: 0.52573111211913360603 0.00000000000000000000 0.20081141588622727987 B10: 0.52573111211913360603 0.00000000000000000000 -0.20081141588622727987 B11: -0.52573111211913360603 0.00000000000000000000 0.20081141588622727987 B12: -0.52573111211913360603 0.00000000000000000000 -0.20081141588622727987 B13: 0.20081141588622727987 0.52573111211913360603 0.00000000000000000000 B14: -0.20081141588622727987 0.52573111211913360603 0.00000000000000000000 B15: 0.20081141588622727987 -0.52573111211913360603 0.00000000000000000000 B16: -0.20081141588622727987 -0.52573111211913360603 0.00000000000000000000 B17: 0.00000000000000000000 0.20081141588622727987 0.52573111211913360603 B18: 0.00000000000000000000 -0.20081141588622727987 0.52573111211913360603 B19: 0.00000000000000000000 0.20081141588622727987 -0.52573111211913360603 B20: 0.00000000000000000000 -0.20081141588622727987 -0.52573111211913360603 Face Cycles Covering Faces A01 B17 A07 B09 A05 B18 A02 B01 A10 B03 A01 B03 A08 B10 A09 B15 A11 B09 A07 B04 A01 B19 A03 B13 A11 B06 A05 B02 A12 B14 A01 B14 A10 B01 A06 B05 A09 B13 A03 B17 A01 B04 A12 B02 A02 B20 A06 B10 A08 B19 A02 B02 A05 B09 A11 B13 A09 B10 A06 B01 A02 B18 A04 B15 A09 B07 A08 B03 A10 B16 A02 B16 A12 B04 A07 B08 A11 B15 A04 B20 A03 B08 A07 B11 A12 B16 A10 B12 A08 B07 A03 B19 A08 B12 A06 B20 A04 B06 A11 B08 A03 B07 A09 B05 A04 B18 A05 B11 A07 B17 A04 B05 A06 B12 A10 B14 A12 B11 A05 B06 Face Geometry Edge length (for unit outer radius) sqrt( (10 - 2 sqrt(5)) / 5 ), approx. 1.051462224238 Covering face angles 36.0 degrees 108.0 degrees Dihedral angle arccos( -1 / sqrt(5) ), approx. 116.565051177078 degrees