Acronym	targi
Name	trireplenished 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)
Face vector	9, 15, 8
Confer	related Johnson solids: teddi   uniform relative: gike   sissid   faceting of: sissid   related scaliform: birgax
External links

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

Note that, when trailing along being connected layers, one is hopping through the axially stacked layers back and forth. Thence the extremal layers would be the first 2 ones (in the below given sequence). This is, what is meant by the pro- and retrograde lacings, as given below.

This polyhedron is an edge-faceting of the small stellated dodecahedron (sissid).

Incidence matrix according to Dynkin symbol

o(-v)x3xoo&#(x,-x)   → height(1,3) = 1/sqrt(3) = 0.577350
                       height(2,3) = -sqrt[(3-sqrt(5))/6] = -0.356822

o  . .3o..         | 3 * * | 2 2 0 0 | 1 1 2 0
.  o .3.o.         | * 3 * | 0 2 1 0 | 0 2 1 0
.  . o3..o         | * * 3 | 0 0 1 2 | 0 2 0 1
-------------------+-------+---------+--------
.  . . x..         | 2 0 0 | 3 * * * | 1 0 1 0
o  o .3oo.&#x      | 1 1 0 | * 6 * * | 0 1 1 0
.  . o3.oo&#(-x)   | 0 1 1 | * * 3 * | 0 2 0 0
.  . x ...         | 0 0 2 | * * * 3 | 0 1 0 1
-------------------+-------+---------+--------
o  . .3x..         | 3 0 0 | 3 0 0 0 | 1 * * *
o(-v)x ...&#(x,-x) | 1 2 2 | 0 2 2 1 | * 3 * *
.  . . xo.&#x      | 2 1 0 | 1 2 0 0 | * * 3 *
.  . x3..o         | 0 0 3 | 0 0 0 3 | * * * 1