Gyroelongated Pentagonal Rotunda

The gyroelongated pentagonal rotunda is one of the Johnson solids, or so Wikipedia tells me. So why print one? Well, I don't actually plan to as such, but inspired by the possibilities of many other domes that people have designed, I might get round to making one of my own. But why the oddly-named solid, rather than one of the more standard dome designs? The advantage of the Johnson solids (along with their Archimedean and Platonic cousins) is that they can be made with rods that are all exactly