Acronym targi
Name trireplinished great icosahedron
 
Circumradius sqrt[(5-sqrt(5))/8] = 0.587785
Vertex figures [3,(5/2)2], [33,5/2]
Colonel of regiment (is itself locally convex)
Confer
related Johnson solids:
teddi  
uniform relative:
gike   sissid  
faceting of:
sissid  
related scaliform:
birgax  

As abstract polytope targi is isomorph to teddi, thereby replacing pentagrams by pentagons.


Incidence matrix according to Dynkin symbol

xov3oxo&#xt   → height(1,3) = sqrt[(3-sqrt(5))/6] = 0.356822
                height(2,3) = 1/sqrt(3) = 0.577350
({3} || dual {3} || pseudo v-{3})

o..3o..     | 3 * * | 2 2 0 0 | 1 2 1 0
.o.3.o.     | * 3 * | 0 0 2 1 | 0 0 2 1
..o3..o     | * * 3 | 0 2 0 1 | 0 1 2 0
------------+-------+---------+--------
x.. ...     | 2 0 0 | 3 * * * | 1 1 0 0
o.o3o.o&#x  | 1 0 1 | * 6 * * | 0 1 1 0
... .x.     | 0 2 0 | * * 3 * | 0 0 1 1
.oo3.oo&#x  | 0 1 1 | * * * 3 | 0 0 2 0
------------+-------+---------+--------
x..3o..     | 3 0 0 | 3 0 0 0 | 1 * * *
x.o ...&#x  | 2 0 1 | 1 2 0 0 | * 3 * *
... oxV&#xt | 1 2 2 | 0 2 1 2 | * * 3 *  {5/2} where V = -v
.o.3.x.     | 0 3 0 | 0 0 3 0 | * * * 1

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