I53a_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( (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  B01  A05  B17  A10  B18  A07  B03  A02  B09  
A01  B02  A11  B19  A12  B06  A03  B14  A05  B13  
A01  B09  A09  B03  A07  B15  A08  B04  A11  B10  
A01  B10  A02  B04  A08  B20  A12  B19  A06  B02  
A01  B13  A06  B14  A03  B05  A10  B17  A09  B01  
A02  B03  A09  B18  A10  B07  A04  B16  A08  B15  
A02  B10  A11  B02  A06  B13  A05  B01  A09  B09  
A02  B15  A07  B16  A04  B08  A12  B20  A11  B04  
A03  B06  A06  B19  A11  B20  A08  B08  A04  B12  
A03  B11  A04  B07  A07  B18  A09  B17  A05  B05  
A03  B12  A12  B08  A08  B16  A07  B07  A10  B11  
A04  B11  A10  B05  A05  B14  A06  B06  A12  B12  


	Face Geometry

Edge length (for unit outer radius)
	sqrt( (20 - 8 sqrt(5)) / 5 ),  approx. 0.649839392466 

Covering face angles
	36.0 degrees
	252.0 degrees

Dihedral angle
	arccos( -1 / sqrt(5) ),  approx. 116.565051177078 degrees