Pseudo Great Strombic Icositetrahedron
Dual of the pseudo great rhombicuboctahedron. This is the pseudo version of
great strombic icositetrahedron
pseudo strombic icositetrahedron
for another example of a pseudo dual model).
The three colours show the three different types of face within the model. All
faces are the same shape (can you make out the arrow-head or dart
shape for a face of each colour?), but they fit into the model in a different
way. That is, using the rotational symmetries of the model, you can only
transform from a face to another face of the same colour. This model has
4-fold dihedral symmetry (same symmetry as a square anti-prism).
This model was constructed in two parts, as detailed below. For
users, these two parts can be found in the Parts section of the supplied
polyhedron library as
Great Dodecacronic Hexecontahedron Pt1 and
Great Dodecacronic Hexecontahedron Pt2.
It is interesting to see that most of the green parts magically
disappear when you view the model end-on.
To build this model, I started by omitting the two green peaks that
extend either way along the 4-fold symmetry axis. They will be added
later. Construct all the other peaks and glue them together. For the
last four peaks, it is easier to glue on piece in at a time, rather
than adding a whole peak, as shown.
I cut a small portion out of the final pieces to leave a hole as shown.
This makes it easier to glue these last pieces in, and is OK because we
will glue one of the green peaks over it soon.
Here is the net for one of the final two green peaks. I have cut
curves into some parts where there will be a hole in the bottom. The
underneath part will fit exactly onto the rest of the model,
disappearing from view, but providing a snug fit. The hole is not
necessary but makes gluing the last tabs easier.
Here are the finished two peaks. Put glue all over the underneath part
and put them in place on the model.