 | Stellation of Small Stellated Truncated Dodecahedron |
This model is a real beauty, discovered using
Great Stella.
The model somehow looks both very complicated and very simple at the same time.
All the facial planes have 5-fold rotational symmetry, being parallel to the
faces of the dodecahedron.
For
Great Stella
and
Stella4D
users, this model can be found in the Stellations section of the
supplied polyhedron library as Stellation of Small Stellated Truncated
Dodecahedron.
|
The model is a stellation of the small stellated truncated
dodecahedron, pictured here. That is, its faces lie in the same
planes.
|
|
This shows one of the two types of faces, from the pentagon plane of
the small stellated truncated dodecahedron. The dark areas show where
the rest of the solid intersects with this plane.
|
|
This shows the other type of face, from the decagram plane of the small
stellated truncated dodecahedron.
|
|
I started by just putting the nets from
Great Stella
together, but at about the half way mark, you need to start thinking
about how you're going to "put the last piece in".
|
|
I decided to make two parts and glue them together last. Here is one
part. I left some of the rhombi complete, rather than cutting the
inner slice out of them. This is where the other part will be glued on.
|
|
To reinforce the surfaces where the two parts will be glued, I made
these small extra polygons using
Great Stella's
"Selection>Mouse Selection Mode>Create Facets" mode.
|
|
Here is the other part, with the extra polygons glued in place. This
part also has complete rhombi where the other part will be attached.
Connecting parts are covered in glue and then you hope for the best and
put them together!
|
|
The view down a 5-fold rotational symmetry axes.
|
|
The view down a 3-fold rotational symmetry axes.
|
|
The view down a 2-fold rotational symmetry axes.
|
