I53c_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. 0.251681714473 
	( ±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:	 0.14530850560107217718	 0.14530850560107217718	 0.14530850560107217718
B02:	 0.14530850560107217718	 0.14530850560107217718	-0.14530850560107217718
B03:	 0.14530850560107217718	-0.14530850560107217718	 0.14530850560107217718
B04:	 0.14530850560107217718	-0.14530850560107217718	-0.14530850560107217718
B05:	-0.14530850560107217718	 0.14530850560107217718	 0.14530850560107217718
B06:	-0.14530850560107217718	 0.14530850560107217718	-0.14530850560107217718
B07:	-0.14530850560107217718	-0.14530850560107217718	 0.14530850560107217718
B08:	-0.14530850560107217718	-0.14530850560107217718	-0.14530850560107217718
B09:	 0.23511410091698925167	 0.00000000000000000000	 0.08980559531591707449
B10:	 0.23511410091698925167	 0.00000000000000000000	-0.08980559531591707449
B11:	-0.23511410091698925167	 0.00000000000000000000	 0.08980559531591707449
B12:	-0.23511410091698925167	 0.00000000000000000000	-0.08980559531591707449
B13:	 0.08980559531591707449	 0.23511410091698925167	 0.00000000000000000000
B14:	-0.08980559531591707449	 0.23511410091698925167	 0.00000000000000000000
B15:	 0.08980559531591707449	-0.23511410091698925167	 0.00000000000000000000
B16:	-0.08980559531591707449	-0.23511410091698925167	 0.00000000000000000000
B17:	 0.00000000000000000000	 0.08980559531591707449	 0.23511410091698925167
B18:	 0.00000000000000000000	-0.08980559531591707449	 0.23511410091698925167
B19:	 0.00000000000000000000	 0.08980559531591707449	-0.23511410091698925167
B20:	 0.00000000000000000000	-0.08980559531591707449	-0.23511410091698925167


	Face Cycles

Covering Faces
A01  B06  A10  B13  A12  B05  
A01  B20  A03  B02  A08  B06  
A01  B18  A08  B09  A10  B15  
A01  B05  A07  B01  A03  B18  
A01  B15  A12  B10  A07  B20  
A02  B17  A04  B03  A05  B07  
A02  B07  A12  B15  A10  B08  
A02  B19  A05  B10  A12  B13  
A02  B13  A10  B09  A06  B17  
A02  B08  A06  B04  A04  B19  
A03  B01  A11  B14  A09  B02  
A03  B20  A07  B12  A11  B16  
A03  B16  A09  B11  A08  B18  
A04  B04  A09  B16  A11  B03  
A04  B17  A06  B11  A09  B14  
A04  B14  A11  B12  A05  B19  
A05  B12  A07  B05  A12  B07  
A05  B03  A11  B01  A07  B10  
A06  B09  A08  B02  A09  B04  
A06  B08  A10  B06  A08  B11  


	Face Geometry

Edge length (for unit outer radius)
	sqrt( (20 + 4 sqrt(5)) / 25 ),  approx. 1.075997619142 

Covering face angles
	arccos( (1 + 3 sqrt(5)) / 8 ),  approx.  15.522487814070 degrees
	arccos( -1 / 4 )             ,  approx. 104.477512185930 degrees

Dihedral angle
	arccos( -1 / 3 ),  approx. 109.471220634491 degrees