I53a_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( (15 - 3 sqrt(5)) / 10 ),  approx. 0.910592997310 
	( ±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:	 0.52573111211913360603	 0.52573111211913360603	 0.52573111211913360603
B02:	 0.52573111211913360603	 0.52573111211913360603	-0.52573111211913360603
B03:	 0.52573111211913360603	-0.52573111211913360603	 0.52573111211913360603
B04:	 0.52573111211913360603	-0.52573111211913360603	-0.52573111211913360603
B05:	-0.52573111211913360603	 0.52573111211913360603	 0.52573111211913360603
B06:	-0.52573111211913360603	 0.52573111211913360603	-0.52573111211913360603
B07:	-0.52573111211913360603	-0.52573111211913360603	 0.52573111211913360603
B08:	-0.52573111211913360603	-0.52573111211913360603	-0.52573111211913360603
B09:	 0.85065080835203993218	 0.00000000000000000000	 0.32491969623290632616
B10:	 0.85065080835203993218	 0.00000000000000000000	-0.32491969623290632616
B11:	-0.85065080835203993218	 0.00000000000000000000	 0.32491969623290632616
B12:	-0.85065080835203993218	 0.00000000000000000000	-0.32491969623290632616
B13:	 0.32491969623290632616	 0.85065080835203993218	 0.00000000000000000000
B14:	-0.32491969623290632616	 0.85065080835203993218	 0.00000000000000000000
B15:	 0.32491969623290632616	-0.85065080835203993218	 0.00000000000000000000
B16:	-0.32491969623290632616	-0.85065080835203993218	 0.00000000000000000000
B17:	 0.00000000000000000000	 0.32491969623290632616	 0.85065080835203993218
B18:	 0.00000000000000000000	-0.32491969623290632616	 0.85065080835203993218
B19:	 0.00000000000000000000	 0.32491969623290632616	-0.85065080835203993218
B20:	 0.00000000000000000000	-0.32491969623290632616	-0.85065080835203993218


	Face Cycles

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


	Face Geometry

Edge length (for unit outer radius)
	(sqrt(5) - 1) / 2,  approx. 0.618033988750 

Covering face angles
	arccos(  1 / sqrt(5) ),  approx.  63.434948822922 degrees
	arccos( -1 / sqrt(5) ),  approx. 116.565051177078 degrees

Dihedral angle
	144.0 degrees