Recently (here and here), I blogged about the small dodecahemiicosahedron, along with several of its stellations. Today, I got curious about it’s “big brother,” the great dodecahemiicosahedron, so I looked up the latter with Stella 4d (free trial download available here), examined some of its stellations, and made virtual models of what I found.

First, the great dodecahemiicosahedron itself. The 22 faces of this uniform polyhedron are twelve regular pentagons (shown in yellow) and twenty regular hexagons (shown in red).

Next, its 30th stellation:

Lastly, the 88th stellation:

When creating polyhedral models, I usually use gold spheres for vertices, and silver cylinders for edges. However, in this case, that decoration is getting in the way — so here’s the 88th stellation again, without the spheres and cylinders. This way, it really looks like what it is: a dozen tall pentagonal pyramids meeting only at their common vertex.