I53a_2


	Vertex Coordinates

Class A
	radius R:   sqrt( (25 - 10 sqrt(5)) / 3 ),  approx. 0.937962370425 
	even permutations of ( ±sqrt( (5 + sqrt(5)) / 10 ),  ±sqrt( (5 - sqrt(5)) / 10 ),  0 ) * R

A01:	 0.79787844860616159708	 0.49311600012964403132	 0.00000000000000000000
A02:	 0.79787844860616159708	-0.49311600012964403132	 0.00000000000000000000
A03:	-0.79787844860616159708	 0.49311600012964403132	 0.00000000000000000000
A04:	-0.79787844860616159708	-0.49311600012964403132	 0.00000000000000000000
A05:	 0.00000000000000000000	 0.79787844860616159708	 0.49311600012964403132
A06:	 0.00000000000000000000	 0.79787844860616159708	-0.49311600012964403132
A07:	 0.00000000000000000000	-0.79787844860616159708	 0.49311600012964403132
A08:	 0.00000000000000000000	-0.79787844860616159708	-0.49311600012964403132
A09:	 0.49311600012964403132	 0.00000000000000000000	 0.79787844860616159708
A10:	-0.49311600012964403132	 0.00000000000000000000	 0.79787844860616159708
A11:	 0.49311600012964403132	 0.00000000000000000000	-0.79787844860616159708
A12:	-0.49311600012964403132	 0.00000000000000000000	-0.79787844860616159708

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


	Face Geometry

Edge length (for unit outer radius)
	sqrt( (28 - 12 sqrt(5)) / 3 ),  approx. 0.623747884433 

Covering face angles
	arccos( -1 / 4 )             ,  approx. 104.477512185930 degrees
	arccos( (1 - 3 sqrt(5)) / 8 ),  approx. 135.522487814070 degrees

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