Selections from the Stellation-Series of the Strombic Icositetrahedron, Including Some Polyhedral Compounds

RobertLovesPi.net

The strombic icositetrahedron is the dual of the rhombcuboctahedron, and has many interesting polyhedra in its stellation-series. Here are a few of them, starting with the 10th stellation.

10th stellation of Strombic Icositetra

Here’s the strombic icositetrahedron’s 16th stellation:

16th stellation of Strombic Icositetra

And the 19th:

19th stellation of Strombic IcositetraAnd the 21st:

21st stellation of Strombic Icositetra

And the 23rd:

23rd stellation of Strombic Icositetra

And the 25th:

25th stellation of Strombic Icositetra

And the 26th:

26th stellation of Strombic IcositetraNext, the 28th stellation. It isn’t colored as the other stellations above are colored, simply because it is also a compound of six off-center square-based pyramids.

28th stellation of Strombic Icositetra

The 34th stellation is even more interesting. It’s a symmetrical four-part compound, but the component polyhedra have irregular faces, and are much less symmetrical than the compound itself.

34th stellation of Strombic Icositetra

Here is the 37th stellation in this series:

37th stellation of Strombic Icositetra

And the 43rd:

43rd stellation of Strombic Icositetra

And the 44th:

44th stellation of Strombic IcositetraThe 59th stellation in this series is an octahedron, with each face excavated by short, triangle-based pyramids. It can also be seen as a compound of three shortened square-based dipyramids, but coloring it…

View original post 85 more words

Leave a Reply

Please log in using one of these methods to post your comment:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

This site uses Akismet to reduce spam. Learn how your comment data is processed.