I53c_1


	Vertex Coordinates

Class A
	radius R:   sqrt( ( 5 - 2 sqrt(5)) / 3 ),  approx. 0.419469524122 
	even permutations of ( ±sqrt( (5 + sqrt(5)) / 10 ),  ±sqrt( (5 - sqrt(5)) / 10 ),  0 ) * R

A01:	 0.35682208977308993194	 0.22052817941653583257	 0.00000000000000000000
A02:	 0.35682208977308993194	-0.22052817941653583257	 0.00000000000000000000
A03:	-0.35682208977308993194	 0.22052817941653583257	 0.00000000000000000000
A04:	-0.35682208977308993194	-0.22052817941653583257	 0.00000000000000000000
A05:	 0.00000000000000000000	 0.35682208977308993194	 0.22052817941653583257
A06:	 0.00000000000000000000	 0.35682208977308993194	-0.22052817941653583257
A07:	 0.00000000000000000000	-0.35682208977308993194	 0.22052817941653583257
A08:	 0.00000000000000000000	-0.35682208977308993194	-0.22052817941653583257
A09:	 0.22052817941653583257	 0.00000000000000000000	 0.35682208977308993194
A10:	-0.22052817941653583257	 0.00000000000000000000	 0.35682208977308993194
A11:	 0.22052817941653583257	 0.00000000000000000000	-0.35682208977308993194
A12:	-0.22052817941653583257	 0.00000000000000000000	-0.35682208977308993194

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


	Face Geometry

Edge length (for unit outer radius)
	2 / sqrt(3),  approx. 1.154700538379 

Covering face angles
	36.0 degrees
	108.0 degrees

Dihedral angle
	arccos( 1 / sqrt(5) ),  approx. 63.434948822922 degrees