I53b_1


	Vertex Coordinates

Class A
	radius R:   sqrt( ( 5 - sqrt(5)) / 6 ),  approx. 0.678715947274 
	even permutations of ( ±sqrt( (5 + sqrt(5)) / 10 ),  ±sqrt( (5 - sqrt(5)) / 10 ),  0 ) * R

A01:	 0.57735026918962576451	 0.35682208977308993194	 0.00000000000000000000
A02:	 0.57735026918962576451	-0.35682208977308993194	 0.00000000000000000000
A03:	-0.57735026918962576451	 0.35682208977308993194	 0.00000000000000000000
A04:	-0.57735026918962576451	-0.35682208977308993194	 0.00000000000000000000
A05:	 0.00000000000000000000	 0.57735026918962576451	 0.35682208977308993194
A06:	 0.00000000000000000000	 0.57735026918962576451	-0.35682208977308993194
A07:	 0.00000000000000000000	-0.57735026918962576451	 0.35682208977308993194
A08:	 0.00000000000000000000	-0.57735026918962576451	-0.35682208977308993194
A09:	 0.35682208977308993194	 0.00000000000000000000	 0.57735026918962576451
A10:	-0.35682208977308993194	 0.00000000000000000000	 0.57735026918962576451
A11:	 0.35682208977308993194	 0.00000000000000000000	-0.57735026918962576451
A12:	-0.35682208977308993194	 0.00000000000000000000	-0.57735026918962576451

Class B
	radius:   1.0
	( ±1 / sqrt(3),  ±1 / sqrt(3),  ±1 / sqrt(3) )
	even permutations of ( ±(sqrt(5) + 1) / 2 sqrt(3),  0,  ±(sqrt(5) - 1) / 2 sqrt(3) )

B01:	 0.57735026918962576451	 0.57735026918962576451	 0.57735026918962576451
B02:	 0.57735026918962576451	 0.57735026918962576451	-0.57735026918962576451
B03:	 0.57735026918962576451	-0.57735026918962576451	 0.57735026918962576451
B04:	 0.57735026918962576451	-0.57735026918962576451	-0.57735026918962576451
B05:	-0.57735026918962576451	 0.57735026918962576451	 0.57735026918962576451
B06:	-0.57735026918962576451	 0.57735026918962576451	-0.57735026918962576451
B07:	-0.57735026918962576451	-0.57735026918962576451	 0.57735026918962576451
B08:	-0.57735026918962576451	-0.57735026918962576451	-0.57735026918962576451
B09:	 0.93417235896271569645	 0.00000000000000000000	 0.35682208977308993194
B10:	 0.93417235896271569645	 0.00000000000000000000	-0.35682208977308993194
B11:	-0.93417235896271569645	 0.00000000000000000000	 0.35682208977308993194
B12:	-0.93417235896271569645	 0.00000000000000000000	-0.35682208977308993194
B13:	 0.35682208977308993194	 0.93417235896271569645	 0.00000000000000000000
B14:	-0.35682208977308993194	 0.93417235896271569645	 0.00000000000000000000
B15:	 0.35682208977308993194	-0.93417235896271569645	 0.00000000000000000000
B16:	-0.35682208977308993194	-0.93417235896271569645	 0.00000000000000000000
B17:	 0.00000000000000000000	 0.35682208977308993194	 0.93417235896271569645
B18:	 0.00000000000000000000	-0.35682208977308993194	 0.93417235896271569645
B19:	 0.00000000000000000000	 0.35682208977308993194	-0.93417235896271569645
B20:	 0.00000000000000000000	-0.35682208977308993194	-0.93417235896271569645


	Face Cycles

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


	Face Geometry

Edge length (for unit outer radius)
	sqrt( ( 5 + sqrt(5)) / 6 ),  approx. 1.098185471395 

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

Dihedral angle
	72.0 degrees