A pentakis dodecahedron is a polyhedron with 60 faces. It is one of the Catalan solids, and is composed of 60 identical isosceles triangles. Link to Wikipedia article here.

The model provided uses isosceles triangles with a base length of 1 fuselage unit. It was constructed through exact position and size calculations, which gives the model 100% accuracy.

To briefly describe the construction methodology, a pentagonal pyramid was created with a pentagonal base with side length = 1 fuselage unit, and these pentagonal pyramids were simply attached to the 12 pentagonal faces of the existing regular dodecahedron.

As documentation on the regular dodecahedron has already been provided, this page will only provide documentation for construction of the aforementioned pentagonal pyramid.
Documentation Link

The prettiest shape to date. It wasn't too hard to create since I already created the dodecahedron, so I decided to space out the uploading as to not cram it all in. It's very nice to look at. Some weird style of aesthetic to it. Anyway I'm gonna call it a day here with the geometry--though, if I get bored again I might pick it up again.

Thanks for downloading! As always, have fun.
- Snow